Finite Group Databasebeta

← C3×#10586472 #72272129

Subgroups — C3×#10586472 #72272129

Order 1536.

77460 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#63012C2116yesmaximal, complemented
2C3×#63011C2116yesmaximal, complemented
3C3×#62983C218yesmaximal, complemented
4C3×D4×H(5,𝔽2)C218yesmaximal, complemented
5C3×#62912C2116yesmaximal, complemented
6C3×#62892C2132yesmaximal, complemented
7C3×#62832C212yesmaximal, complemented
8C3×#62818C218yesmaximal, complemented
9C3×#62817C218yesmaximal, complemented
10C3×#62773C214yesmaximal, complemented
11C2×C3×#3484C218yesmaximal, complemented
12C22×C3×D42C211yesmaximal, characteristic, complemented
13#10586472C311yesmaximal, characteristic, direct product factor, Sylow
14C22×C3×H(5,𝔽2)C2218yescomplemented
15C24×C3×D4C2214yescomplemented
16C3×#3558C22164yescomplemented
17C3×#3549C22116yescomplemented
18C3×#3546C22132yescomplemented
19C3×#3543C22116yescomplemented
20C3×#3543C22164yescomplemented
21C3×#3543C22116yescomplemented
22C3×#3543C22132yescomplemented
23C3×#3542C22164yescomplemented
24C3×#3542C22164yescomplemented
25C3×#3537C22132yescomplemented
26C3×#3537C22164yescomplemented
27C3×#3537C22164yescomplemented
28C3×#3536C22132yescomplemented
29C3×#3534C221128yescomplemented
30C3×#3534C22164yescomplemented
31C3×#3532C22164yescomplemented
32C3×#3532C22164yescomplemented
33C3×#3532C221128yescomplemented
34C3×#3520C22116yescomplemented
35C3×#3519C22116yescomplemented
36C3×#3519C22164yescomplemented
37C3×#3519C22164yescomplemented
38C3×#3519C22132yescomplemented
39C3×#3514C22132yescomplemented
40C3×#3513C22164yescomplemented
41C3×#3513C22132yescomplemented
42C3×#3508C2218yescomplemented
43C3×#3508C22116yescomplemented
44C3×#3506C2218yescomplemented
45C3×#3505C22116yescomplemented
46C3×#3505C22132yescomplemented
47C3×#3501C2214yescomplemented
48C3×#3498C2218yescomplemented
49C3×#3498C22132yescomplemented
50C3×#3498C22116yescomplemented
51C3×#3496C2214yescomplemented
52C3×#3496C22132yescomplemented
53C3×#3496C22132yescomplemented
54C3×#3494C22132yescomplemented
55C3×#3492C2218yescomplemented
56C3×#3490C22132yescomplemented
57C3×#3490C22116yescomplemented
58C3×#3490C22116yescomplemented
59C3×#3490C22164yescomplemented
60C3×#3488C22164yescomplemented
61C3×#3488C22132yescomplemented
62C3×#3484C2218yescomplemented
63C3×#3484C22116yescomplemented
64C3×#3484C22132yescomplemented
65C3×#3484C22164yescomplemented
66C3×#3484C22164yescomplemented
67C3×#3484C22132yescomplemented
68C3×#3484C22116yescomplemented
69C3×#3484C22132yescomplemented
70C3×#3484C22164yescomplemented
71C3×#3484C22116yescomplemented
72C3×#3484C2218yescomplemented
73C3×#3484C22164yescomplemented
74C3×#3481C22132yescomplemented
75C3×#3481C22116yescomplemented
76C3×#3475C22116yescomplemented
77C3×D4×#41C22132yescomplemented
78C3×D4×#41C22116yescomplemented
79C2×C3×#546C22132yescomplemented
80C2×C3×#546C22132yescomplemented
81C2×C3×D42C2218yescomplemented
82C2×C3×D42C22132yescomplemented
83C2×C3×D42C22116yescomplemented
84C2×C3×D42C22116yescomplemented
85C2×C3×D42C22132yescomplemented
86C2×C3×D42C22116yescomplemented
87C2×C3×D42C2218yescomplemented
88C3×#3460C2218yescomplemented
89C3×#3459C22116yescomplemented
90C2×C3×#535C22116yescomplemented
91C2×C3×#534C22132yescomplemented
92C3×#3444C2214yescomplemented
93C22×C3×#127C2211yescharacteristic, complemented
94C2×C3×#525C22116yescomplemented
95C22×C3×#121C2214yescomplemented
96C22×C3×#120C22116yescomplemented
97C22×C3×#120C2214yescomplemented
98C3×C4×H(5,𝔽2)C2218yescomplemented
99C2×C3×#518C2218yescomplemented
100C22×C3×C4×D4C2212yescomplemented
101#63012C2×C3116yescomplemented
102#63011C2×C3116yescomplemented
103#62983C2×C318yescomplemented
104D4×H(5,𝔽2)C2×C318yescomplemented
105#62912C2×C3116yescomplemented
106#62892C2×C3132yescomplemented
107#62832C2×C312yescomplemented
108#62818C2×C318yescomplemented
109#62817C2×C318yescomplemented
110#62773C2×C314yescomplemented
111C2×#3484C2×C318yescomplemented
112C22×D42C2×C311yescharacteristic, complemented
113C26×C3C2314yescomplemented
114C2×C3×H(5,𝔽2)—464no—
115C2×C3×H(5,𝔽2)C2318yes—
116C2×C3×H(5,𝔽2)C23132yescomplemented
117C2×C3×H(5,𝔽2)C23116yescomplemented
118C2×C3×H(5,𝔽2)C2318yescomplemented
119C2×C3×H(5,𝔽2)C23164yescomplemented
120C22×C3×#41C23116yescomplemented
121C22×C3×#41C23132yescomplemented
122C23×C3×D4—432no—
123C23×C3×D4C2312yes—
124C23×C3×D4C2318yes—
125C23×C3×D4C2318yescomplemented
126C23×C3×D4C2314yescomplemented
127C23×C3×D4C23116yescomplemented
128C23×C3×D4C2318yescomplemented
129C23×C3×D4C23116yescomplemented
130C23×C3×D4C23132yescomplemented
131C23×C3×D4C23116yescomplemented
132C23×C3×D4C2312yescomplemented
133C23×C3×D4C23132yescomplemented
134C23×C3×D4C23116yescomplemented
135C23×C3×D4C23132yescomplemented
136C24×C3×C4C2314yescomplemented
137C3×#562C231128yescomplemented
138C3×H(3,𝔽4)C23164yescomplemented
139C3×#560C231128yescomplemented
140C3×#560C23164yescomplemented
141C3×#560C231128yescomplemented
142C3×#560C23164yescomplemented
143C3×#559C23132yescomplemented
144C3×#559C23116yescomplemented
145C3×#559C23132yescomplemented
146C3×#556C23116yescomplemented
147C3×#555C23116yescomplemented
148C3×#555C23164yescomplemented
149C3×#554C23132yescomplemented
150C3×#554C23116yescomplemented
151C3×#554C23132yescomplemented
152C3×#553C23132yescomplemented
153C3×#553C23132yescomplemented
154C3×#553C23164yescomplemented
155C3×#553C23132yescomplemented
156C3×#553C23164yescomplemented
157C3×#553C23164yescomplemented
158C3×#553C231128yescomplemented
159C3×#552C23132yescomplemented
160C3×#552C23132yescomplemented
161C3×#551C23164yescomplemented
162C3×#551C23164yescomplemented
163C3×#551C231128yescomplemented
164C3×#551C23164yescomplemented
165C3×#551C23164yescomplemented
166C3×#551C231128yescomplemented
167C3×#550C23116yescomplemented
168C3×#550C23164yescomplemented
169C3×#550C23132yescomplemented
170C3×#550C23132yescomplemented
171C3×#550C23132yescomplemented
172C3×D4×Q8C23116yescomplemented
173C3×#548C23132yescomplemented
174C3×#548C23164yescomplemented
175C3×#547C23132yescomplemented
176C3×#547C23116yescomplemented
177C3×#547C23116yescomplemented
178C3×#547C23164yescomplemented
179C3×#546C23132yescomplemented
180C3×#546C23132yescomplemented
181C3×#546C231128yescomplemented
182C3×#546C231128yescomplemented
183C3×#546C23164yescomplemented
184C3×#546C23164yescomplemented
185C3×#546C23164yescomplemented
186C3×#546C23164yescomplemented
187C3×#546C23164yescomplemented
188C3×#546C231128yescomplemented
189C3×#546C23132yescomplemented
190C3×#546C23164yescomplemented
191C3×#546C23164yescomplemented
192C3×#546C23132yescomplemented
193C3×#546C231128yescomplemented
194C3×#546C231128yescomplemented
195C3×#546C231128yescomplemented
196C3×#546C231128yescomplemented
197C3×#546C231128yescomplemented
198C3×#546C23164yescomplemented
199C3×#546C23164yescomplemented
200C3×#546C231128yescomplemented
201C3×#546C23164yescomplemented
202C3×D42C23116yescomplemented
203C3×D42C23164yescomplemented
204C3×D42C23132yescomplemented
205C3×D42C23164yescomplemented
206C3×D42C23164yescomplemented
207C3×D42C23116yescomplemented
208C3×D42C23132yescomplemented
209C3×D42C23132yescomplemented
210C3×D42C231128yescomplemented
211C3×D42C231128yescomplemented
212C3×D42C23164yescomplemented
213C3×D42C23164yescomplemented
214C3×D42C23164yescomplemented
215C3×D42C23164yescomplemented
216C3×D42C23116yescomplemented
217C3×D42C23164yescomplemented
218C3×D42C231128yescomplemented
219C3×D42C231128yescomplemented
220C3×D42C23164yescomplemented
221C3×D42C231128yescomplemented
222C3×D42C23164yescomplemented
223C3×D42C23164yescomplemented
224C3×D42C23164yescomplemented
225C3×D42C23116yescomplemented
226C3×D42C23132yescomplemented
227C3×#544C2318yescomplemented
228C3×#543C23116yescomplemented
229C3×#543C23116yescomplemented
230C3×#542C23132yescomplemented
231C3×#542C23164yescomplemented
232C3×#540C23132yescomplemented
233C3×#540C23164yescomplemented
234C3×#540C231128yescomplemented
235C3×#540C23164yescomplemented
236C3×#540C23132yescomplemented
237C3×#539C23132yescomplemented
238C3×#539C23164yescomplemented
239C3×#539C23164yescomplemented
240C3×#538C23132yescomplemented
241C3×#538C23132yescomplemented
242C3×#538C23164yescomplemented
243C3×#538C23164yescomplemented
244C3×#538C231128yescomplemented
245C3×#538C231128yescomplemented
246C3×#538C231128yescomplemented
247C3×#538C23164yescomplemented
248C3×#538C231128yescomplemented
249C3×#537C2318yescomplemented
250C3×#537C23164yescomplemented
251C3×#537C23164yescomplemented
252C3×#535C23116yescomplemented
253C3×#535C23132yescomplemented
254C3×#535C23164yescomplemented
255C3×#535C23116yescomplemented
256C3×#535C231128yescomplemented
257C3×#535C23164yescomplemented
258C3×#535C23164yescomplemented
259C3×#535C23164yescomplemented
260C3×#535C23164yescomplemented
261C3×#535C23164yescomplemented
262C3×#535C23132yescomplemented
263C3×#534C23132yescomplemented
264C3×#534C23164yescomplemented
265C3×#534C23164yescomplemented
266C3×#534C23164yescomplemented
267C3×#534C23132yescomplemented
268C3×#534C23116yescomplemented
269C3×#534C23116yescomplemented
270C3×#534C231128yescomplemented
271C3×#534C231128yescomplemented
272C3×#534C23164yescomplemented
273C3×#534C231128yescomplemented
274C3×#534C23164yescomplemented
275C3×#533C2318yescomplemented
276C3×#533C2314yescomplemented
277C3×#532C2318yescomplemented
278C3×#532C2314yescomplemented
279C3×#532C23132yescomplemented
280C3×#532C23164yescomplemented
281C3×#532C23132yescomplemented
282C3×#532C23116yescomplemented
283C2×C3×#127C2318yescomplemented
284C2×C3×#127C2318yescomplemented
285C2×C3×#127C2318yescomplemented
286C2×C3×#127C23132yescomplemented
287C2×C3×#127C23116yescomplemented
288C3×#529C23116yescomplemented
289C3×#529C23116yescomplemented
290C3×#529C23116yescomplemented
291C3×#529C23164yescomplemented
292C3×#529C23132yescomplemented
293C3×#529C23164yescomplemented
294C2×C3×#124C23132yescomplemented
295C3×#525C23116yescomplemented
296C3×#525C23132yescomplemented
297C3×#525C2318yescomplemented
298C3×#525C23132yescomplemented
299C3×#525C23132yescomplemented
300C3×#525C23132yescomplemented
301C3×#525C23132yescomplemented
302C3×#525C23132yescomplemented
303C3×#525C23132yescomplemented
304C3×#525C23164yescomplemented
305C3×#525C231128yescomplemented
306C3×#525C23164yescomplemented
307C3×#525C23164yescomplemented
308C2×C3×#123C23132yescomplemented
309C2×C3×#123C23164yescomplemented
310C2×C3×C22⋊Q8C23116yescomplemented
311C2×C3×C22⋊Q8C23116yescomplemented
312C2×C3×#121C23116yescomplemented
313C2×C3×#121C23116yescomplemented
314C2×C3×#121C23132yescomplemented
315C2×C3×#121C23116yescomplemented
316C2×C3×#121C23116yescomplemented
317C2×C3×#121C23116yescomplemented
318C2×C3×#121C23116yescomplemented
319C2×C3×#121C23164yescomplemented
320C2×C3×#121C23164yescomplemented
321C2×C3×#121C23132yescomplemented
322C2×C3×#121C23132yescomplemented
323C2×C3×#121C23164yescomplemented
324C2×C3×#120C23132yescomplemented
325C2×C3×#120C23132yescomplemented
326C2×C3×#120C23132yescomplemented
327C2×C3×#120C23132yescomplemented
328C2×C3×#120C23132yescomplemented
329C2×C3×#120C23164yescomplemented
330C2×C3×#120C23164yescomplemented
331C2×C3×#120C23164yescomplemented
332C2×C3×#120C23132yescomplemented
333C2×C3×#120C23164yescomplemented
334C2×C3×#120C23164yescomplemented
335C2×C3×#120C23164yescomplemented
336C3×#520C23116yescomplemented
337C3×#520C23132yescomplemented
338C3×#518C2318yes—
339C3×#518C23132yescomplemented
340C3×#518C23116yescomplemented
341C3×#518C2318yescomplemented
342C3×#518C23132yescomplemented
343C3×#518C23132yescomplemented
344C3×#518C23164yescomplemented
345C3×#518C23132yescomplemented
346C3×C4×#41C23116yescomplemented
347C3×C4×#41C2318yescomplemented
348C3×C4×#41C23132yescomplemented
349C2×C3×C4×D4C2314yes—
350C2×C3×C4×D4C2318yescomplemented
351C2×C3×C4×D4C2314yescomplemented
352C2×C3×C4×D4C2318yescomplemented
353C2×C3×C4×D4C23116yescomplemented
354C2×C3×C4×D4C2318yescomplemented
355C2×C3×C4×D4C23132yescomplemented
356C2×C3×C4×D4C23132yescomplemented
357C2×C3×C4×D4C23132yescomplemented
358C2×C3×C4×D4C23132yescomplemented
359C2×C3×C4×D4C23132yescomplemented
360C2×C3×#117C23116yescomplemented
361C22×C3×C4⋊C4C2312yescomplemented
362C22×C3×C22⋊C4C2314yescomplemented
363C22×C3×C22⋊C4C2314yescomplemented
364C22×C3×C22⋊C4C23132yescomplemented
365C22×C3×C22⋊C4C23116yescomplemented
366C22×C3×C42C2311yescharacteristic, complemented
367C22×H(5,𝔽2)C22×C318yescomplemented
368C24×D4C22×C314yescomplemented
369#3558C22×C3164yescomplemented
370#3549C22×C3116yescomplemented
371#3546C22×C3132yescomplemented
372#3543C22×C3116yescomplemented
373#3543C22×C3164yescomplemented
374#3543C22×C3116yescomplemented
375#3543C22×C3132yescomplemented
376#3542C22×C3164yescomplemented
377#3542C22×C3164yescomplemented
378#3537C22×C3132yescomplemented
379#3537C22×C3164yescomplemented
380#3537C22×C3164yescomplemented
381#3536C22×C3132yescomplemented
382#3534C22×C31128yescomplemented
383#3534C22×C3164yescomplemented
384#3532C22×C3164yescomplemented
385#3532C22×C3164yescomplemented
386#3532C22×C31128yescomplemented
387#3520C22×C3116yescomplemented
388#3519C22×C3164yescomplemented
389#3519C22×C3132yescomplemented
390#3519C22×C3116yescomplemented
391#3519C22×C3164yescomplemented
392#3514C22×C3132yescomplemented
393#3513C22×C3164yescomplemented
394#3513C22×C3132yescomplemented
395#3508C22×C3116yescomplemented
396#3508C22×C318yescomplemented
397#3506C22×C318yescomplemented
398#3505C22×C3132yescomplemented
399#3505C22×C3116yescomplemented
400#3501C22×C314yescomplemented
401#3498C22×C3132yescomplemented
402#3498C22×C3116yescomplemented
403#3498C22×C318yescomplemented
404#3496C22×C314yescomplemented
405#3496C22×C3132yescomplemented
406#3496C22×C3132yescomplemented
407#3494C22×C3132yescomplemented
408#3492C22×C318yescomplemented
409#3490C22×C3164yescomplemented
410#3490C22×C3132yescomplemented
411#3490C22×C3116yescomplemented
412#3490C22×C3116yescomplemented
413#3488C22×C3164yescomplemented
414#3488C22×C3132yescomplemented
415#3484C22×C3116yescomplemented
416#3484C22×C318yescomplemented
417#3484C22×C3164yescomplemented
418#3484C22×C3164yescomplemented
419#3484C22×C3132yescomplemented
420#3484C22×C3164yescomplemented
421#3484C22×C3132yescomplemented
422#3484C22×C3116yescomplemented
423#3484C22×C3132yescomplemented
424#3484C22×C3164yescomplemented
425#3484C22×C3116yescomplemented
426#3484C22×C318yescomplemented
427#3481C22×C3116yescomplemented
428#3481C22×C3132yescomplemented
429#3475C22×C3116yescomplemented
430D4×#41C22×C3132yescomplemented
431D4×#41C22×C3116yescomplemented
432C2×#546C22×C3132yescomplemented
433C2×#546C22×C3132yescomplemented
434C2×D42C22×C318yescomplemented
435C2×D42C22×C3116yescomplemented
436C2×D42C22×C3132yescomplemented
437C2×D42C22×C3132yescomplemented
438C2×D42C22×C3116yescomplemented
439C2×D42C22×C3116yescomplemented
440C2×D42C22×C318yescomplemented
441#3460C22×C318yescomplemented
442#3459C22×C3116yescomplemented
443C2×#535C22×C3116yescomplemented
444C2×#534C22×C3132yescomplemented
445#3444C22×C314yescomplemented
446C22×#127C22×C311yescharacteristic, complemented
447C2×#525C22×C3116yescomplemented
448C22×#121C22×C314yescomplemented
449C22×#120C22×C3116yescomplemented
450C22×#120C22×C314yescomplemented
451C4×H(5,𝔽2)C22×C318yescomplemented
452C2×#518C22×C318yescomplemented
453C22×C4×D4C22×C312yescomplemented
454C25×C3—432no—
455C25×C3—88no—
456C25×C3C2414yes—
457C25×C3C24116yes—
458C25×C3C2414yes—
459C25×C3C24116yes—
460C25×C3C24116yes—
461C25×C3C24116yescomplemented
462C3×H(5,𝔽2)—264no—
463C3×H(5,𝔽2)—4128no—
464C3×H(5,𝔽2)—4256no—
465C3×H(5,𝔽2)—464no—
466C3×H(5,𝔽2)—816no—
467C2×C3×#41—464no—
468C2×C3×#41—4128no—
469C2×C3×#41C24116yes—
470C2×C3×#41C24132yes—
471C2×C3×#41C24132yes—
472C2×C3×#41C2418yes—
473C2×C3×#41C24132yescomplemented
474C2×C3×#41C24132yescomplemented
475C2×C3×#41C241128yescomplemented
476C2×C3×#41C24164yescomplemented
477C2×C3×#41C24132yescomplemented
478C22×C3×Q8C24116yescomplemented
479C22×C3×D4—216no—
480C22×C3×D4—264no—
481C22×C3×D4—416no—
482C22×C3×D4—432no—
483C22×C3×D4—464no—
484C22×C3×D4—4128no—
485C22×C3×D4—464no—
486C22×C3×D4—4128no—
487C22×C3×D4—464no—
488C22×C3×D4—432no—
489C22×C3×D4—4128no—
490C22×C3×D4—84no—
491C22×C3×D4—832no—
492C22×C3×D4C2414yes—
493C22×C3×D4C2412yes—
494C22×C3×D4C2418yes—
495C22×C3×D4C2418yes—
496C22×C3×D4C24132yes—
497C22×C3×D4C24116yes—
498C22×C3×D4C2418yes—
499C22×C3×D4C24132yes—
500C22×C3×D4C24132yes—
501C22×C3×D4C24132yes—
502C22×C3×D4C24116yes—
503C22×C3×D4C24132yes—
504C22×C3×D4C24132yes—
505C22×C3×D4C24164yes—
506C22×C3×D4C24132yes—
507C22×C3×D4C2418yes—
508C22×C3×D4C24116yes—
509C22×C3×D4C24116yes—
510C22×C3×D4C24164yes—
511C22×C3×D4C24132yes—
512C22×C3×D4C24132yes—
513C22×C3×D4C24132yes—
514C22×C3×D4C24164yes—
515C22×C3×D4C2418yes—
516C22×C3×D4C24132yes—
517C22×C3×D4C24116yes—
518C22×C3×D4C2412yes—
519C22×C3×D4C24164yescomplemented
520C22×C3×D4C24116yescomplemented
521C22×C3×D4C24164yescomplemented
522C22×C3×D4C24164yescomplemented
523C22×C3×D4C241128yescomplemented
524C22×C3×D4C24164yescomplemented
525C22×C3×D4C24164yescomplemented
526C22×C3×D4C24132yescomplemented
527C22×C3×D4C24132yescomplemented
528C23×C3×C4—416no—
529C23×C3×C4C2412yes—
530C23×C3×C4C2418yes—
531C23×C3×C4C2414yes—
532C23×C3×C4C2418yes—
533C23×C3×C4C24116yes—
534C23×C3×C4C2418yes—
535C23×C3×C4C2418yes—
536C23×C3×C4C2411yescharacteristic
537C23×C3×C4C24132yescomplemented
538C23×C3×C4C24132yescomplemented
539C23×C3×C4C24116yescomplemented
540C3×C4⋊Q8C2418yescomplemented
541C3×C4⋊Q8C2414yescomplemented
542C3×C4⋊Q8C24132yescomplemented
543C3×#127C24116yes—
544C3×#127C24132yes—
545C3×#127C24132yes—
546C3×#127C24116yes—
547C3×#127C24132yescomplemented
548C3×#127C241128yescomplemented
549C3×#127C2414yescomplemented
550C3×#127C24164yescomplemented
551C3×#126C24132yescomplemented
552C3×#126C24164yescomplemented
553C3×#126C24164yescomplemented
554C3×#126C24164yescomplemented
555C3×#126C241128yescomplemented
556C3×#125C24164yescomplemented
557C3×#125C24132yescomplemented
558C3×#125C2418yescomplemented
559C3×#125C24116yescomplemented
560C3×#124C24132yes—
561C3×#124C24132yescomplemented
562C3×#124C24164yescomplemented
563C3×#124C24116yescomplemented
564C3×#124C24164yescomplemented
565C3×#124C24164yescomplemented
566C3×#124C241128yescomplemented
567C3×#124C241128yescomplemented
568C3×#124C2418yescomplemented
569C3×#123C24132yes—
570C3×#123C24164yes—
571C3×#123C24164yes—
572C3×#123C24116yes—
573C3×#123C24164yescomplemented
574C3×#123C24164yescomplemented
575C3×#123C24164yescomplemented
576C3×#123C241128yescomplemented
577C3×#123C24164yescomplemented
578C3×#123C24164yescomplemented
579C3×#123C24164yescomplemented
580C3×#123C241128yescomplemented
581C3×#123C241128yescomplemented
582C3×#123C24164yescomplemented
583C3×#123C241128yescomplemented
584C3×#123C24164yescomplemented
585C3×C22⋊Q8C24116yes—
586C3×C22⋊Q8C24116yes—
587C3×C22⋊Q8C24132yes—
588C3×C22⋊Q8C24132yes—
589C3×C22⋊Q8C24116yes—
590C3×C22⋊Q8C24132yescomplemented
591C3×C22⋊Q8C24164yescomplemented
592C3×C22⋊Q8C241128yescomplemented
593C3×C22⋊Q8C24132yescomplemented
594C3×C22⋊Q8C24132yescomplemented
595C3×C22⋊Q8C24132yescomplemented
596C3×C22⋊Q8C24164yescomplemented
597C3×C22⋊Q8C24132yescomplemented
598C3×C22⋊Q8C24164yescomplemented
599C3×#121C24164yes—
600C3×#121C24164yes—
601C3×#121C24164yes—
602C3×#121C24164yes—
603C3×#121C24116yes—
604C3×#121C24116yes—
605C3×#121C24164yes—
606C3×#121C24164yes—
607C3×#121C24132yes—
608C3×#121C24132yes—
609C3×#121C24132yes—
610C3×#121C24132yes—
611C3×#121C24116yes—
612C3×#121C24132yescomplemented
613C3×#121C241128yescomplemented
614C3×#121C241128yescomplemented
615C3×#121C241128yescomplemented
616C3×#121C241128yescomplemented
617C3×#121C24164yescomplemented
618C3×#121C241128yescomplemented
619C3×#121C24164yescomplemented
620C3×#121C24164yescomplemented
621C3×#121C241128yescomplemented
622C3×#121C241128yescomplemented
623C3×#121C241128yescomplemented
624C3×#121C24132yescomplemented
625C3×#121C241128yescomplemented
626C3×#121C24164yescomplemented
627C3×#121C24132yescomplemented
628C3×#121C24132yescomplemented
629C3×#121C24132yescomplemented
630C3×#121C241128yescomplemented
631C3×#121C24164yescomplemented
632C3×#120C24164yes—
633C3×#120C24116yes—
634C3×#120C24164yes—
635C3×#120C24164yes—
636C3×#120C24164yes—
637C3×#120C24164yes—
638C3×#120C241128yes—
639C3×#120C241128yes—
640C3×#120C24164yes—
641C3×#120C24164yes—
642C3×#120C241128yescomplemented
643C3×#120C24164yescomplemented
644C3×#120C241128yescomplemented
645C3×#120C241128yescomplemented
646C3×#120C24164yescomplemented
647C3×#120C24164yescomplemented
648C3×#120C24164yescomplemented
649C3×#120C241128yescomplemented
650C3×#120C241128yescomplemented
651C3×#120C24164yescomplemented
652C3×C4×Q8C24116yescomplemented
653C3×C4×Q8C24116yescomplemented
654C3×C4×Q8C24116yescomplemented
655C3×C4×Q8C24132yescomplemented
656C3×C4×D4C24116yes—
657C3×C4×D4C24116yes—
658C3×C4×D4C24116yes—
659C3×C4×D4C24132yes—
660C3×C4×D4C24132yes—
661C3×C4×D4C24116yes—
662C3×C4×D4C24132yes—
663C3×C4×D4C24132yes—
664C3×C4×D4C24132yes—
665C3×C4×D4C24132yes—
666C3×C4×D4C24164yes—
667C3×C4×D4C24164yes—
668C3×C4×D4C24132yes—
669C3×C4×D4C24164yescomplemented
670C3×C4×D4C24164yescomplemented
671C3×C4×D4C24132yescomplemented
672C3×C4×D4C24164yescomplemented
673C3×C4×D4C24164yescomplemented
674C3×C4×D4C24164yescomplemented
675C3×C4×D4C24116yescomplemented
676C3×C4×D4C241128yescomplemented
677C3×C4×D4C241128yescomplemented
678C3×C4×D4C24164yescomplemented
679C3×C4×D4C24164yescomplemented
680C3×C4×D4C24164yescomplemented
681C3×C4×D4C24164yescomplemented
682C3×C4×D4C24116yescomplemented
683C3×C4×D4C24116yescomplemented
684C3×C4×D4C241128yescomplemented
685C3×#117C24116yes—
686C3×#117C24132yes—
687C3×#117C2418yes—
688C3×#117C24132yescomplemented
689C3×#117C24132yescomplemented
690C3×#117C24132yescomplemented
691C3×#117C24164yescomplemented
692C3×#117C24132yescomplemented
693C3×#117C24116yescomplemented
694C3×#117C24164yescomplemented
695C2×C3×C4⋊C4C2414yes—
696C2×C3×C4⋊C4C2414yes—
697C2×C3×C4⋊C4C2418yes—
698C2×C3×C4⋊C4C2418yes—
699C2×C3×C4⋊C4C24116yescomplemented
700C2×C3×C4⋊C4C24116yescomplemented
701C2×C3×C4⋊C4C24132yescomplemented
702C2×C3×C4⋊C4C24132yescomplemented
703C2×C3×C4⋊C4C24132yescomplemented
704C2×C3×C22⋊C4C24132yes—
705C2×C3×C22⋊C4C24132yes—
706C2×C3×C22⋊C4C24132yes—
707C2×C3×C22⋊C4C2418yes—
708C2×C3×C22⋊C4C2418yes—
709C2×C3×C22⋊C4C24116yes—
710C2×C3×C22⋊C4C24116yes—
711C2×C3×C22⋊C4C24116yes—
712C2×C3×C22⋊C4C24164yes—
713C2×C3×C22⋊C4C24132yes—
714C2×C3×C22⋊C4C24132yes—
715C2×C3×C22⋊C4C24164yescomplemented
716C2×C3×C22⋊C4C24164yescomplemented
717C2×C3×C22⋊C4C24164yescomplemented
718C2×C3×C22⋊C4C24164yescomplemented
719C2×C3×C22⋊C4C24132yescomplemented
720C2×C3×C22⋊C4C24132yescomplemented
721C2×C3×C22⋊C4C24164yescomplemented
722C2×C3×C22⋊C4C24132yescomplemented
723C2×C3×C22⋊C4C24164yescomplemented
724C2×C3×C42C2414yes—
725C2×C3×C42C2414yes—
726C2×C3×C42C2414yes—
727C2×C3×C42C24132yescomplemented
728C2×C3×C42C24116yescomplemented
729C26C23×C314yescomplemented
730C2×H(5,𝔽2)—464no—
731C2×H(5,𝔽2)C23×C318yes—
732C2×H(5,𝔽2)C23×C3132yescomplemented
733C2×H(5,𝔽2)C23×C3116yescomplemented
734C2×H(5,𝔽2)C23×C318yescomplemented
735C2×H(5,𝔽2)C23×C3164yescomplemented
736C22×#41C23×C3116yescomplemented
737C22×#41C23×C3132yescomplemented
738C23×D4—432no—
739C23×D4C23×C312yes—
740C23×D4C23×C318yes—
741C23×D4C23×C318yescomplemented
742C23×D4C23×C314yescomplemented
743C23×D4C23×C3116yescomplemented
744C23×D4C23×C318yescomplemented
745C23×D4C23×C3116yescomplemented
746C23×D4C23×C3132yescomplemented
747C23×D4C23×C3116yescomplemented
748C23×D4C23×C312yescomplemented
749C23×D4C23×C3132yescomplemented
750C23×D4C23×C3132yescomplemented
751C23×D4C23×C3116yescomplemented
752C24×C4C23×C314yescomplemented
753#562C23×C31128yescomplemented
754H(3,𝔽4)C23×C3164yescomplemented
755#560C23×C31128yescomplemented
756#560C23×C3164yescomplemented
757#560C23×C31128yescomplemented
758#560C23×C3164yescomplemented
759#559C23×C3132yescomplemented
760#559C23×C3116yescomplemented
761#559C23×C3132yescomplemented
762#556C23×C3116yescomplemented
763#555C23×C3116yescomplemented
764#555C23×C3164yescomplemented
765#554C23×C3132yescomplemented
766#554C23×C3116yescomplemented
767#554C23×C3132yescomplemented
768#553C23×C3132yescomplemented
769#553C23×C3132yescomplemented
770#553C23×C3164yescomplemented
771#553C23×C3132yescomplemented
772#553C23×C3164yescomplemented
773#553C23×C3164yescomplemented
774#553C23×C31128yescomplemented
775#552C23×C3132yescomplemented
776#552C23×C3132yescomplemented
777#551C23×C3164yescomplemented
778#551C23×C3164yescomplemented
779#551C23×C31128yescomplemented
780#551C23×C3164yescomplemented
781#551C23×C3164yescomplemented
782#551C23×C31128yescomplemented
783#550C23×C3116yescomplemented
784#550C23×C3164yescomplemented
785#550C23×C3132yescomplemented
786#550C23×C3132yescomplemented
787#550C23×C3132yescomplemented
788D4×Q8C23×C3116yescomplemented
789#548C23×C3132yescomplemented
790#548C23×C3164yescomplemented
791#547C23×C3132yescomplemented
792#547C23×C3116yescomplemented
793#547C23×C3116yescomplemented
794#547C23×C3164yescomplemented
795#546C23×C3132yescomplemented
796#546C23×C3132yescomplemented
797#546C23×C31128yescomplemented
798#546C23×C31128yescomplemented
799#546C23×C3164yescomplemented
800#546C23×C3164yescomplemented
801#546C23×C3164yescomplemented
802#546C23×C3164yescomplemented
803#546C23×C3164yescomplemented
804#546C23×C31128yescomplemented
805#546C23×C3132yescomplemented
806#546C23×C3164yescomplemented
807#546C23×C3164yescomplemented
808#546C23×C3132yescomplemented
809#546C23×C31128yescomplemented
810#546C23×C31128yescomplemented
811#546C23×C31128yescomplemented
812#546C23×C31128yescomplemented
813#546C23×C31128yescomplemented
814#546C23×C3164yescomplemented
815#546C23×C3164yescomplemented
816#546C23×C31128yescomplemented
817#546C23×C3164yescomplemented
818D42C23×C3116yescomplemented
819D42C23×C3164yescomplemented
820D42C23×C3132yescomplemented
821D42C23×C3164yescomplemented
822D42C23×C3164yescomplemented
823D42C23×C3116yescomplemented
824D42C23×C3132yescomplemented
825D42C23×C3132yescomplemented
826D42C23×C31128yescomplemented
827D42C23×C31128yescomplemented
828D42C23×C3164yescomplemented
829D42C23×C3164yescomplemented
830D42C23×C3164yescomplemented
831D42C23×C3164yescomplemented
832D42C23×C3116yescomplemented
833D42C23×C3164yescomplemented
834D42C23×C31128yescomplemented
835D42C23×C31128yescomplemented
836D42C23×C3164yescomplemented
837D42C23×C31128yescomplemented
838D42C23×C3164yescomplemented
839D42C23×C3164yescomplemented
840D42C23×C3164yescomplemented
841D42C23×C3116yescomplemented
842D42C23×C3132yescomplemented
843#544C23×C318yescomplemented
844#543C23×C3116yescomplemented
845#543C23×C3116yescomplemented
846#542C23×C3132yescomplemented
847#542C23×C3164yescomplemented
848#540C23×C3132yescomplemented
849#540C23×C3164yescomplemented
850#540C23×C31128yescomplemented
851#540C23×C3164yescomplemented
852#540C23×C3132yescomplemented
853#539C23×C3132yescomplemented
854#539C23×C3164yescomplemented
855#539C23×C3164yescomplemented
856#538C23×C3132yescomplemented
857#538C23×C3132yescomplemented
858#538C23×C3164yescomplemented
859#538C23×C3164yescomplemented
860#538C23×C31128yescomplemented
861#538C23×C31128yescomplemented
862#538C23×C31128yescomplemented
863#538C23×C3164yescomplemented
864#538C23×C31128yescomplemented
865#537C23×C318yescomplemented
866#537C23×C3164yescomplemented
867#537C23×C3164yescomplemented
868#535C23×C3116yescomplemented
869#535C23×C3132yescomplemented
870#535C23×C3164yescomplemented
871#535C23×C3116yescomplemented
872#535C23×C31128yescomplemented
873#535C23×C3164yescomplemented
874#535C23×C3164yescomplemented
875#535C23×C3164yescomplemented
876#535C23×C3164yescomplemented
877#535C23×C3164yescomplemented
878#535C23×C3132yescomplemented
879#534C23×C3132yescomplemented
880#534C23×C3164yescomplemented
881#534C23×C3164yescomplemented
882#534C23×C3164yescomplemented
883#534C23×C3132yescomplemented
884#534C23×C3116yescomplemented
885#534C23×C3116yescomplemented
886#534C23×C31128yescomplemented
887#534C23×C31128yescomplemented
888#534C23×C3164yescomplemented
889#534C23×C31128yescomplemented
890#534C23×C3164yescomplemented
891#533C23×C318yescomplemented
892#533C23×C314yescomplemented
893#532C23×C318yescomplemented
894#532C23×C314yescomplemented
895#532C23×C3132yescomplemented
896#532C23×C3164yescomplemented
897#532C23×C3132yescomplemented
898#532C23×C3116yescomplemented
899C2×#127C23×C318yescomplemented
900C2×#127C23×C318yescomplemented
901C2×#127C23×C318yescomplemented
902C2×#127C23×C3132yescomplemented
903C2×#127C23×C3116yescomplemented
904#529C23×C3116yescomplemented
905#529C23×C3116yescomplemented
906#529C23×C3116yescomplemented
907#529C23×C3164yescomplemented
908#529C23×C3132yescomplemented
909#529C23×C3164yescomplemented
910C2×#124C23×C3132yescomplemented
911#525C23×C3116yescomplemented
912#525C23×C3132yescomplemented
913#525C23×C318yescomplemented
914#525C23×C3132yescomplemented
915#525C23×C3132yescomplemented
916#525C23×C3132yescomplemented
917#525C23×C3132yescomplemented
918#525C23×C3132yescomplemented
919#525C23×C3132yescomplemented
920#525C23×C3164yescomplemented
921#525C23×C31128yescomplemented
922#525C23×C3164yescomplemented
923#525C23×C3164yescomplemented
924C2×#123C23×C3132yescomplemented
925C2×#123C23×C3164yescomplemented
926C2×C22⋊Q8C23×C3116yescomplemented
927C2×C22⋊Q8C23×C3116yescomplemented
928C2×#121C23×C3116yescomplemented
929C2×#121C23×C3116yescomplemented
930C2×#121C23×C3132yescomplemented
931C2×#121C23×C3116yescomplemented
932C2×#121C23×C3116yescomplemented
933C2×#121C23×C3116yescomplemented
934C2×#121C23×C3116yescomplemented
935C2×#121C23×C3164yescomplemented
936C2×#121C23×C3164yescomplemented
937C2×#121C23×C3132yescomplemented
938C2×#121C23×C3132yescomplemented
939C2×#121C23×C3164yescomplemented
940C2×#120C23×C3132yescomplemented
941C2×#120C23×C3132yescomplemented
942C2×#120C23×C3132yescomplemented
943C2×#120C23×C3132yescomplemented
944C2×#120C23×C3132yescomplemented
945C2×#120C23×C3164yescomplemented
946C2×#120C23×C3164yescomplemented
947C2×#120C23×C3164yescomplemented
948C2×#120C23×C3132yescomplemented
949C2×#120C23×C3164yescomplemented
950C2×#120C23×C3164yescomplemented
951C2×#120C23×C3164yescomplemented
952#520C23×C3116yescomplemented
953#520C23×C3132yescomplemented
954#518C23×C318yes—
955#518C23×C3132yescomplemented
956#518C23×C3116yescomplemented
957#518C23×C318yescomplemented
958#518C23×C3132yescomplemented
959#518C23×C3132yescomplemented
960#518C23×C3164yescomplemented
961#518C23×C3132yescomplemented
962C4×#41C23×C3116yescomplemented
963C4×#41C23×C318yescomplemented
964C4×#41C23×C3132yescomplemented
965C2×C4×D4C23×C314yes—
966C2×C4×D4C23×C318yescomplemented
967C2×C4×D4C23×C314yescomplemented
968C2×C4×D4C23×C318yescomplemented
969C2×C4×D4C23×C3116yescomplemented
970C2×C4×D4C23×C318yescomplemented
971C2×C4×D4C23×C3132yescomplemented
972C2×C4×D4C23×C3132yescomplemented
973C2×C4×D4C23×C3132yescomplemented
974C2×C4×D4C23×C3132yescomplemented
975C2×C4×D4C23×C3132yescomplemented
976C2×#117C23×C3116yescomplemented
977C22×C4⋊C4C23×C312yescomplemented
978C22×C22⋊C4C23×C314yescomplemented
979C22×C22⋊C4C23×C314yescomplemented
980C22×C22⋊C4C23×C3132yescomplemented
981C22×C22⋊C4C23×C3116yescomplemented
982C22×C42C23×C311yescharacteristic, complemented
983C24×C3—216no—
984C24×C3—264no—
985C24×C3—48no—
986C24×C3—48no—
987C24×C3—416no—
988C24×C3—432no—
989C24×C3—432no—
990C24×C3—464no—
991C24×C3—432no—
992C24×C3—48no—
993C24×C3—432no—
994C24×C3—464no—
995C24×C3—816no—
996C24×C3—816no—
997C24×C3—816no—
998C24×C3—8128no—
999C24×C3C2511yescharacteristic
1000C24×C3C2518yes—
1001C24×C3C2518yes—
1002C24×C3C25116yes—
1003C24×C3C2514yes—
1004C24×C3C25116yes—
1005C24×C3C2518yes—
1006C24×C3C25132yes—
1007C24×C3C25132yes—
1008C24×C3C25116yes—
1009C24×C3C25132yes—
1010C24×C3C2514yes—
1011C3×#41—2128no—
1012C3×#41—264no—
1013C3×#41—464no—
1014C3×#41—464no—
1015C3×#41—4256no—
1016C3×#41—416no—
1017C3×#41—464no—
1018C3×#41—4128no—
1019C3×#41—832no—
1020C2×C3×Q8—432no—
1021C2×C3×Q8C25116yes—
1022C2×C3×Q8C2518yes—
1023C2×C3×Q8C25132yes—
1024C2×C3×D4—216no—
1025C2×C3×D4—264no—
1026C2×C3×D4—2128no—
1027C2×C3×D4—232no—
1028C2×C3×D4—232no—
1029C2×C3×D4—2128no—
1030C2×C3×D4—2128no—
1031C2×C3×D4—2128no—
1032C2×C3×D4—28no—
1033C2×C3×D4—232no—
1034C2×C3×D4—432no—
1035C2×C3×D4—432no—
1036C2×C3×D4—464no—
1037C2×C3×D4—464no—
1038C2×C3×D4—432no—
1039C2×C3×D4—4128no—
1040C2×C3×D4—416no—
1041C2×C3×D4—432no—
1042C2×C3×D4—4128no—
1043C2×C3×D4—416no—
1044C2×C3×D4—4128no—
1045C2×C3×D4—4128no—
1046C2×C3×D4—464no—
1047C2×C3×D4—464no—
1048C2×C3×D4—464no—
1049C2×C3×D4—4128no—
1050C2×C3×D4—4128no—
1051C2×C3×D4—4256no—
1052C2×C3×D4—4128no—
1053C2×C3×D4—464no—
1054C2×C3×D4—464no—
1055C2×C3×D4—816no—
1056C2×C3×D4—864no—
1057C2×C3×D4—832no—
1058C2×C3×D4—832no—
1059C2×C3×D4H(5,𝔽2)116yescomplemented
1060C2×C3×D4C25116yes—
1061C2×C3×D4C25132yes—
1062C2×C3×D4C25116yes—
1063C2×C3×D4C2518yes—
1064C2×C3×D4C25164yes—
1065C2×C3×D4C25164yes—
1066C2×C3×D4C25132yes—
1067C2×C3×D4C25116yes—
1068C2×C3×D4C25132yes—
1069C2×C3×D4C25164yes—
1070C2×C3×D4C25164yes—
1071C2×C3×D4C2518yes—
1072C2×C3×D4C25164yes—
1073C2×C3×D4C25164yes—
1074C2×C3×D4C251128yes—
1075C2×C3×D4C25132yes—
1076C2×C3×D4C25132yes—
1077C2×C3×D4C2518yes—
1078C22×C3×C4—28no—
1079C22×C3×C4—232no—
1080C22×C3×C4—416no—
1081C22×C3×C4—432no—
1082C22×C3×C4—416no—
1083C22×C3×C4—464no—
1084C22×C3×C4—416no—
1085C22×C3×C4—48no—
1086C22×C3×C4—42no—
1087C22×C3×C4—464no—
1088C22×C3×C4—816no—
1089C22×C3×C4C2512yes—
1090C22×C3×C4C2514yes—
1091C22×C3×C4C2514yes—
1092C22×C3×C4C2512yes—
1093C22×C3×C4C25116yes—
1094C22×C3×C4C25132yes—
1095C22×C3×C4C25132yes—
1096C22×C3×C4C2518yes—
1097C22×C3×C4C25116yes—
1098C22×C3×C4C2514yes—
1099C22×C3×C4C25132yes—
1100C22×C3×C4C25116yes—
1101C22×C3×C4C2518yes—
1102C22×C3×C4C2518yes—
1103C22×C3×C4C25132yes—
1104C22×C3×C4C25132yes—
1105C22×C3×C4C25164yes—
1106C22×C3×C4C25116yes—
1107C22×C3×C4C25164yes—
1108C22×C3×C4C25116yes—
1109C22×C3×C4C2512yes—
1110C3×C4⋊C4C25116yes—
1111C3×C4⋊C4C25116yes—
1112C3×C4⋊C4C25116yes—
1113C3×C4⋊C4C25116yes—
1114C3×C4⋊C4C25132yes—
1115C3×C4⋊C4C25132yes—
1116C3×C4⋊C4C25164yes—
1117C3×C4⋊C4C25132yes—
1118C3×C4⋊C4C25132yes—
1119C3×C4⋊C4C25164yes—
1120C3×C4⋊C4C25116yes—
1121C3×C4⋊C4C25132yes—
1122C3×C22⋊C4C25132yes—
1123C3×C22⋊C4C25116yes—
1124C3×C22⋊C4C25132yes—
1125C3×C22⋊C4C25164yes—
1126C3×C22⋊C4C25132yes—
1127C3×C22⋊C4C25164yes—
1128C3×C22⋊C4C25164yes—
1129C3×C22⋊C4C25164yes—
1130C3×C22⋊C4C25164yes—
1131C3×C22⋊C4C251128yes—
1132C3×C22⋊C4C25164yes—
1133C3×C22⋊C4C25132yes—
1134C3×C22⋊C4C25132yes—
1135C3×C22⋊C4C25164yes—
1136C3×C22⋊C4C25132yes—
1137C3×C42C2514yes—
1138C3×C42C2518yes—
1139C3×C42C2514yes—
1140C3×C42C25132yes—
1141C3×C42C25164yes—
1142C3×C42C25116yes—
1143C25—432no—
1144C25—88no—
1145C25C24×C314yes—
1146C25C24×C3116yes—
1147C25C24×C314yes—
1148C25C24×C3116yes—
1149C25C24×C3116yes—
1150C25C24×C3116yescomplemented
1151H(5,𝔽2)—264no—
1152H(5,𝔽2)—4128no—
1153H(5,𝔽2)—4256no—
1154H(5,𝔽2)—464no—
1155H(5,𝔽2)—816no—
1156C2×#41—464no—
1157C2×#41—4128no—
1158C2×#41C24×C3116yes—
1159C2×#41C24×C3132yes—
1160C2×#41C24×C318yes—
1161C2×#41C24×C3132yes—
1162C2×#41C24×C3132yescomplemented
1163C2×#41C24×C3132yescomplemented
1164C2×#41C24×C31128yescomplemented
1165C2×#41C24×C3164yescomplemented
1166C2×#41C24×C3132yescomplemented
1167C22×Q8C24×C3116yescomplemented
1168C22×D4—216no—
1169C22×D4—264no—
1170C22×D4—416no—
1171C22×D4—432no—
1172C22×D4—464no—
1173C22×D4—4128no—
1174C22×D4—464no—
1175C22×D4—4128no—
1176C22×D4—464no—
1177C22×D4—432no—
1178C22×D4—4128no—
1179C22×D4—84no—
1180C22×D4—832no—
1181C22×D4C24×C314yes—
1182C22×D4C24×C312yes—
1183C22×D4C24×C3132yes—
1184C22×D4C24×C318yes—
1185C22×D4C24×C318yes—
1186C22×D4C24×C3132yes—
1187C22×D4C24×C3132yes—
1188C22×D4C24×C3116yes—
1189C22×D4C24×C318yes—
1190C22×D4C24×C3132yes—
1191C22×D4C24×C3132yes—
1192C22×D4C24×C318yes—
1193C22×D4C24×C3132yes—
1194C22×D4C24×C3132yes—
1195C22×D4C24×C3116yes—
1196C22×D4C24×C3132yes—
1197C22×D4C24×C3132yes—
1198C22×D4C24×C3164yes—
1199C22×D4C24×C3164yes—
1200C22×D4C24×C3132yes—
1201C22×D4C24×C318yes—
1202C22×D4C24×C3116yes—
1203C22×D4C24×C3116yes—
1204C22×D4C24×C3164yes—
1205C22×D4C24×C3132yes—
1206C22×D4C24×C3116yes—
1207C22×D4C24×C312yes—
1208C22×D4C24×C3164yescomplemented
1209C22×D4C24×C3164yescomplemented
1210C22×D4C24×C3164yescomplemented
1211C22×D4C24×C31128yescomplemented
1212C22×D4C24×C3116yescomplemented
1213C22×D4C24×C3164yescomplemented
1214C22×D4C24×C3164yescomplemented
1215C22×D4C24×C3132yescomplemented
1216C22×D4C24×C3132yescomplemented
1217C23×C4—416no—
1218C23×C4C24×C312yes—
1219C23×C4C24×C318yes—
1220C23×C4C24×C311yescharacteristic
1221C23×C4C24×C314yes—
1222C23×C4C24×C318yes—
1223C23×C4C24×C3116yes—
1224C23×C4C24×C318yes—
1225C23×C4C24×C318yes—
1226C23×C4C24×C3132yescomplemented
1227C23×C4C24×C3132yescomplemented
1228C23×C4C24×C3116yescomplemented
1229C4⋊Q8C24×C318yescomplemented
1230C4⋊Q8C24×C314yescomplemented
1231C4⋊Q8C24×C3132yescomplemented
1232#127C24×C3116yes—
1233#127C24×C3132yes—
1234#127C24×C3116yes—
1235#127C24×C3132yes—
1236#127C24×C314yescomplemented
1237#127C24×C3164yescomplemented
1238#127C24×C3132yescomplemented
1239#127C24×C31128yescomplemented
1240#126C24×C3132yescomplemented
1241#126C24×C3164yescomplemented
1242#126C24×C3164yescomplemented
1243#126C24×C3164yescomplemented
1244#126C24×C31128yescomplemented
1245#125C24×C3132yescomplemented
1246#125C24×C318yescomplemented
1247#125C24×C3116yescomplemented
1248#125C24×C3164yescomplemented
1249#124C24×C3132yes—
1250#124C24×C3164yescomplemented
1251#124C24×C31128yescomplemented
1252#124C24×C318yescomplemented
1253#124C24×C3116yescomplemented
1254#124C24×C3164yescomplemented
1255#124C24×C31128yescomplemented
1256#124C24×C3132yescomplemented
1257#124C24×C3164yescomplemented
1258#123C24×C3132yes—
1259#123C24×C3164yes—
1260#123C24×C3164yes—
1261#123C24×C3116yes—
1262#123C24×C3164yescomplemented
1263#123C24×C3164yescomplemented
1264#123C24×C31128yescomplemented
1265#123C24×C31128yescomplemented
1266#123C24×C31128yescomplemented
1267#123C24×C3164yescomplemented
1268#123C24×C3164yescomplemented
1269#123C24×C31128yescomplemented
1270#123C24×C3164yescomplemented
1271#123C24×C3164yescomplemented
1272#123C24×C3164yescomplemented
1273#123C24×C3164yescomplemented
1274C22⋊Q8C24×C3116yes—
1275C22⋊Q8C24×C3116yes—
1276C22⋊Q8C24×C3132yes—
1277C22⋊Q8C24×C3132yes—
1278C22⋊Q8C24×C3116yes—
1279C22⋊Q8C24×C3132yescomplemented
1280C22⋊Q8C24×C3132yescomplemented
1281C22⋊Q8C24×C3132yescomplemented
1282C22⋊Q8C24×C3132yescomplemented
1283C22⋊Q8C24×C3164yescomplemented
1284C22⋊Q8C24×C3132yescomplemented
1285C22⋊Q8C24×C3164yescomplemented
1286C22⋊Q8C24×C3164yescomplemented
1287C22⋊Q8C24×C31128yescomplemented
1288#121C24×C3164yes—
1289#121C24×C3164yes—
1290#121C24×C3164yes—
1291#121C24×C3164yes—
1292#121C24×C3116yes—
1293#121C24×C3116yes—
1294#121C24×C3164yes—
1295#121C24×C3164yes—
1296#121C24×C3132yes—
1297#121C24×C3132yes—
1298#121C24×C3132yes—
1299#121C24×C3132yes—
1300#121C24×C3116yes—
1301#121C24×C3132yescomplemented
1302#121C24×C31128yescomplemented
1303#121C24×C3164yescomplemented
1304#121C24×C3132yescomplemented
1305#121C24×C3132yescomplemented
1306#121C24×C3132yescomplemented
1307#121C24×C3132yescomplemented
1308#121C24×C31128yescomplemented
1309#121C24×C3164yescomplemented
1310#121C24×C31128yescomplemented
1311#121C24×C31128yescomplemented
1312#121C24×C31128yescomplemented
1313#121C24×C31128yescomplemented
1314#121C24×C31128yescomplemented
1315#121C24×C31128yescomplemented
1316#121C24×C31128yescomplemented
1317#121C24×C3164yescomplemented
1318#121C24×C31128yescomplemented
1319#121C24×C3164yescomplemented
1320#121C24×C3164yescomplemented
1321#120C24×C3116yes—
1322#120C24×C3164yes—
1323#120C24×C3164yes—
1324#120C24×C3164yes—
1325#120C24×C3164yes—
1326#120C24×C31128yes—
1327#120C24×C31128yes—
1328#120C24×C3164yes—
1329#120C24×C3164yes—
1330#120C24×C3164yes—
1331#120C24×C3164yescomplemented
1332#120C24×C3164yescomplemented
1333#120C24×C31128yescomplemented
1334#120C24×C31128yescomplemented
1335#120C24×C31128yescomplemented
1336#120C24×C3164yescomplemented
1337#120C24×C31128yescomplemented
1338#120C24×C3164yescomplemented
1339#120C24×C3164yescomplemented
1340#120C24×C31128yescomplemented
1341C4×Q8C24×C3116yescomplemented
1342C4×Q8C24×C3132yescomplemented
1343C4×Q8C24×C3116yescomplemented
1344C4×Q8C24×C3116yescomplemented
1345C4×D4C24×C3116yes—
1346C4×D4C24×C3116yes—
1347C4×D4C24×C3132yes—
1348C4×D4C24×C3132yes—
1349C4×D4C24×C3116yes—
1350C4×D4C24×C3132yes—
1351C4×D4C24×C3116yes—
1352C4×D4C24×C3132yes—
1353C4×D4C24×C3132yes—
1354C4×D4C24×C3132yes—
1355C4×D4C24×C3164yes—
1356C4×D4C24×C3164yes—
1357C4×D4C24×C3132yes—
1358C4×D4C24×C3164yescomplemented
1359C4×D4C24×C3116yescomplemented
1360C4×D4C24×C31128yescomplemented
1361C4×D4C24×C31128yescomplemented
1362C4×D4C24×C3164yescomplemented
1363C4×D4C24×C3164yescomplemented
1364C4×D4C24×C3164yescomplemented
1365C4×D4C24×C3164yescomplemented
1366C4×D4C24×C3132yescomplemented
1367C4×D4C24×C3164yescomplemented
1368C4×D4C24×C3164yescomplemented
1369C4×D4C24×C3164yescomplemented
1370C4×D4C24×C3116yescomplemented
1371C4×D4C24×C3116yescomplemented
1372C4×D4C24×C3164yescomplemented
1373C4×D4C24×C31128yescomplemented
1374#117C24×C3116yes—
1375#117C24×C3132yes—
1376#117C24×C318yes—
1377#117C24×C3132yescomplemented
1378#117C24×C3132yescomplemented
1379#117C24×C3132yescomplemented
1380#117C24×C3164yescomplemented
1381#117C24×C3132yescomplemented
1382#117C24×C3116yescomplemented
1383#117C24×C3164yescomplemented
1384C2×C4⋊C4C24×C314yes—
1385C2×C4⋊C4C24×C314yes—
1386C2×C4⋊C4C24×C318yes—
1387C2×C4⋊C4C24×C318yes—
1388C2×C4⋊C4C24×C3116yescomplemented
1389C2×C4⋊C4C24×C3116yescomplemented
1390C2×C4⋊C4C24×C3132yescomplemented
1391C2×C4⋊C4C24×C3132yescomplemented
1392C2×C4⋊C4C24×C3132yescomplemented
1393C2×C22⋊C4C24×C3132yes—
1394C2×C22⋊C4C24×C3132yes—
1395C2×C22⋊C4C24×C3132yes—
1396C2×C22⋊C4C24×C318yes—
1397C2×C22⋊C4C24×C318yes—
1398C2×C22⋊C4C24×C3116yes—
1399C2×C22⋊C4C24×C3116yes—
1400C2×C22⋊C4C24×C3116yes—
1401C2×C22⋊C4C24×C3164yes—
1402C2×C22⋊C4C24×C3132yes—
1403C2×C22⋊C4C24×C3132yes—
1404C2×C22⋊C4C24×C3164yescomplemented
1405C2×C22⋊C4C24×C3164yescomplemented
1406C2×C22⋊C4C24×C3164yescomplemented
1407C2×C22⋊C4C24×C3164yescomplemented
1408C2×C22⋊C4C24×C3132yescomplemented
1409C2×C22⋊C4C24×C3132yescomplemented
1410C2×C22⋊C4C24×C3164yescomplemented
1411C2×C22⋊C4C24×C3132yescomplemented
1412C2×C22⋊C4C24×C3164yescomplemented
1413C2×C42C24×C314yes—
1414C2×C42C24×C314yes—
1415C2×C42C24×C314yes—
1416C2×C42C24×C3132yescomplemented
1417C2×C42C24×C3116yescomplemented
1418C23×C3—24no—
1419C23×C3—22no—
1420C23×C3—216no—
1421C23×C3—264no—
1422C23×C3—216no—
1423C23×C3—216no—
1424C23×C3—28no—
1425C23×C3—216no—
1426C23×C3—264no—
1427C23×C3—264no—
1428C23×C3—232no—
1429C23×C3—216no—
1430C23×C3—44no—
1431C23×C3—48no—
1432C23×C3—44no—
1433C23×C3—416no—
1434C23×C3—44no—
1435C23×C3—48no—
1436C23×C3—44no—
1437C23×C3—432no—
1438C23×C3—432no—
1439C23×C3—416no—
1440C23×C3—416no—
1441C23×C3—432no—
1442C23×C3—432no—
1443C23×C3—432no—
1444C23×C3—416no—
1445C23×C3—416no—
1446C23×C3—464no—
1447C23×C3—432no—
1448C23×C3—464no—
1449C23×C3—832no—
1450C23×C3—8128no—
1451C23×C3—8128no—
1452C23×C3—8128no—
1453C23×C3—1664no—
1454C23×C3C2×H(5,𝔽2)116yescomplemented
1455C23×C3C2618yes—
1456C23×C3C26116yes—
1457C23×C3C26116yes—
1458C23×C3C2612yes—
1459C23×C3C2618yes—
1460C23×C3C2611yescharacteristic
1461C3×Q8—232no—
1462C3×Q8—432no—
1463C3×Q8—48no—
1464C3×D4—232no—
1465C3×D4—2128no—
1466C3×D4—264no—
1467C3×D4—2128no—
1468C3×D4—232no—
1469C3×D4—216no—
1470C3×D4—264no—
1471C3×D4—232no—
1472C3×D4—432no—
1473C3×D4—464no—
1474C3×D4—432no—
1475C3×D4—464no—
1476C3×D4—4128no—
1477C3×D4—464no—
1478C3×D4—432no—
1479C3×D4—464no—
1480C3×D4—48no—
1481C3×D4C2×H(5,𝔽2)132yescomplemented
1482C2×C3×C4—24no—
1483C2×C3×C4—216no—
1484C2×C3×C4—264no—
1485C2×C3×C4—24no—
1486C2×C3×C4—28no—
1487C2×C3×C4—28no—
1488C2×C3×C4—232no—
1489C2×C3×C4—232no—
1490C2×C3×C4—264no—
1491C2×C3×C4—416no—
1492C2×C3×C4—416no—
1493C2×C3×C4—48no—
1494C2×C3×C4—48no—
1495C2×C3×C4—432no—
1496C2×C3×C4—464no—
1497C2×C3×C4—464no—
1498C2×C3×C4—44no—
1499C2×C3×C4—432no—
1500C2×C3×C4—432no—
1501C2×C3×C4—416no—
1502C2×C3×C4C2×H(5,𝔽2)18yescomplemented
1503C2×C3×C4C2614yes—
1504C2×C3×C4C26116yes—
1505C2×C3×C4C26132yes—
1506C2×C3×C4C26116yes—
1507C2×C3×C4C2614yes—
1508C2×C3×C4C2614yes—
1509C24—216no—
1510C24—264no—
1511C24—48no—
1512C24—48no—
1513C24—416no—
1514C24—432no—
1515C24—432no—
1516C24—464no—
1517C24—432no—
1518C24—48no—
1519C24—432no—
1520C24—464no—
1521C24—816no—
1522C24—816no—
1523C24—816no—
1524C24—8128no—
1525C24C25×C311yescharacteristic
1526C24C25×C318yes—
1527C24C25×C318yes—
1528C24C25×C3116yes—
1529C24C25×C3116yes—
1530C24C25×C318yes—
1531C24C25×C314yes—
1532C24C25×C3132yes—
1533C24C25×C3132yes—
1534C24C25×C3116yes—
1535C24C25×C3132yes—
1536C24C25×C314yes—
1537#41—2128no—
1538#41—264no—
1539#41—464no—
1540#41—464no—
1541#41—4256no—
1542#41—416no—
1543#41—464no—
1544#41—4128no—
1545#41—832no—
1546C2×Q8—432no—
1547C2×Q8C25×C3116yes—
1548C2×Q8C25×C318yes—
1549C2×Q8C25×C3132yes—
1550C2×D4—216no—
1551C2×D4—264no—
1552C2×D4—2128no—
1553C2×D4—232no—
1554C2×D4—232no—
1555C2×D4—2128no—
1556C2×D4—2128no—
1557C2×D4—2128no—
1558C2×D4—28no—
1559C2×D4—232no—
1560C2×D4—432no—
1561C2×D4—432no—
1562C2×D4—464no—
1563C2×D4—464no—
1564C2×D4—432no—
1565C2×D4—4128no—
1566C2×D4—416no—
1567C2×D4—432no—
1568C2×D4—4128no—
1569C2×D4—416no—
1570C2×D4—4128no—
1571C2×D4—4128no—
1572C2×D4—464no—
1573C2×D4—464no—
1574C2×D4—464no—
1575C2×D4—4128no—
1576C2×D4—4128no—
1577C2×D4—4256no—
1578C2×D4—4128no—
1579C2×D4—464no—
1580C2×D4—464no—
1581C2×D4—816no—
1582C2×D4—864no—
1583C2×D4—832no—
1584C2×D4—832no—
1585C2×D4C3×H(5,𝔽2)116yescomplemented
1586C2×D4C25×C3116yes—
1587C2×D4C25×C3132yes—
1588C2×D4C25×C3116yes—
1589C2×D4C25×C318yes—
1590C2×D4C25×C3164yes—
1591C2×D4C25×C3164yes—
1592C2×D4C25×C3132yes—
1593C2×D4C25×C3116yes—
1594C2×D4C25×C3132yes—
1595C2×D4C25×C3164yes—
1596C2×D4C25×C3164yes—
1597C2×D4C25×C318yes—
1598C2×D4C25×C3164yes—
1599C2×D4C25×C3164yes—
1600C2×D4C25×C31128yes—
1601C2×D4C25×C3132yes—
1602C2×D4C25×C3132yes—
1603C2×D4C25×C318yes—
1604C22×C4—28no—
1605C22×C4—232no—
1606C22×C4—416no—
1607C22×C4—432no—
1608C22×C4—416no—
1609C22×C4—464no—
1610C22×C4—416no—
1611C22×C4—48no—
1612C22×C4—42no—
1613C22×C4—464no—
1614C22×C4—816no—
1615C22×C4C25×C312yes—
1616C22×C4C25×C314yes—
1617C22×C4C25×C314yes—
1618C22×C4C25×C312yes—
1619C22×C4C25×C3116yes—
1620C22×C4C25×C3132yes—
1621C22×C4C25×C3132yes—
1622C22×C4C25×C318yes—
1623C22×C4C25×C3116yes—
1624C22×C4C25×C314yes—
1625C22×C4C25×C3132yes—
1626C22×C4C25×C3116yes—
1627C22×C4C25×C318yes—
1628C22×C4C25×C318yes—
1629C22×C4C25×C3132yes—
1630C22×C4C25×C3132yes—
1631C22×C4C25×C3164yes—
1632C22×C4C25×C3116yes—
1633C22×C4C25×C3164yes—
1634C22×C4C25×C3116yes—
1635C22×C4C25×C312yes—
1636C4⋊C4C25×C3116yes—
1637C4⋊C4C25×C3116yes—
1638C4⋊C4C25×C3116yes—
1639C4⋊C4C25×C3116yes—
1640C4⋊C4C25×C3132yes—
1641C4⋊C4C25×C3132yes—
1642C4⋊C4C25×C3164yes—
1643C4⋊C4C25×C3132yes—
1644C4⋊C4C25×C3132yes—
1645C4⋊C4C25×C3164yes—
1646C4⋊C4C25×C3116yes—
1647C4⋊C4C25×C3132yes—
1648C22⋊C4C25×C3132yes—
1649C22⋊C4C25×C3116yes—
1650C22⋊C4C25×C3132yes—
1651C22⋊C4C25×C3164yes—
1652C22⋊C4C25×C3132yes—
1653C22⋊C4C25×C3164yes—
1654C22⋊C4C25×C3164yes—
1655C22⋊C4C25×C3164yes—
1656C22⋊C4C25×C3164yes—
1657C22⋊C4C25×C31128yes—
1658C22⋊C4C25×C3164yes—
1659C22⋊C4C25×C3132yes—
1660C22⋊C4C25×C3132yes—
1661C22⋊C4C25×C3164yes—
1662C22⋊C4C25×C3132yes—
1663C42C25×C314yes—
1664C42C25×C318yes—
1665C42C25×C314yes—
1666C42C25×C3132yes—
1667C42C25×C3164yes—
1668C42C25×C3116yes—
1669C22×C3—28no—
1670C22×C3—28no—
1671C22×C3—22no—
1672C22×C3—22no—
1673C22×C3—28no—
1674C22×C3—22no—
1675C22×C3—28no—
1676C22×C3—232no—
1677C22×C3—232no—
1678C22×C3—28no—
1679C22×C3—216no—
1680C22×C3—216no—
1681C22×C3—28no—
1682C22×C3—416no—
1683C22×C3—432no—
1684C22×C3—432no—
1685C22×C3—464no—
1686C22×C3—416no—
1687C22×C3—832no—
1688C22×C3—816no—
1689C22×C3—864no—
1690C22×C3—864no—
1691C22×C3—832no—
1692C22×C3—1632no—
1693C22×C3C22×H(5,𝔽2)14yes—
1694C22×C3C22×H(5,𝔽2)116yes—
1695C22×C3H(7,𝔽2)12yes—
1696C22×C3C2711yescharacteristic
1697C3×C4—24no—
1698C3×C4—216no—
1699C3×C4—232no—
1700C3×C4—24no—
1701C3×C4—216no—
1702C3×C4C22×H(5,𝔽2)18yes—
1703C23—24no—
1704C23—22no—
1705C23—216no—
1706C23—264no—
1707C23—216no—
1708C23—216no—
1709C23—28no—
1710C23—216no—
1711C23—264no—
1712C23—264no—
1713C23—232no—
1714C23—216no—
1715C23—44no—
1716C23—48no—
1717C23—44no—
1718C23—416no—
1719C23—44no—
1720C23—48no—
1721C23—44no—
1722C23—432no—
1723C23—432no—
1724C23—416no—
1725C23—416no—
1726C23—432no—
1727C23—432no—
1728C23—432no—
1729C23—416no—
1730C23—416no—
1731C23—464no—
1732C23—432no—
1733C23—464no—
1734C23—832no—
1735C23—8128no—
1736C23—8128no—
1737C23—8128no—
1738C23—1664no—
1739C23C2×C3×H(5,𝔽2)116yescomplemented
1740C23C26×C318yes—
1741C23C26×C3116yes—
1742C23C26×C3116yes—
1743C23C26×C312yes—
1744C23C26×C318yes—
1745C23C26×C311yescharacteristic
1746Q8—232no—
1747Q8—432no—
1748Q8—48no—
1749D4—232no—
1750D4—2128no—
1751D4—264no—
1752D4—2128no—
1753D4—232no—
1754D4—216no—
1755D4—264no—
1756D4—232no—
1757D4—432no—
1758D4—464no—
1759D4—432no—
1760D4—464no—
1761D4—4128no—
1762D4—464no—
1763D4—432no—
1764D4—464no—
1765D4—48no—
1766D4C2×C3×H(5,𝔽2)132yescomplemented
1767C2×C4—24no—
1768C2×C4—216no—
1769C2×C4—264no—
1770C2×C4—24no—
1771C2×C4—28no—
1772C2×C4—28no—
1773C2×C4—232no—
1774C2×C4—232no—
1775C2×C4—264no—
1776C2×C4—416no—
1777C2×C4—416no—
1778C2×C4—48no—
1779C2×C4—48no—
1780C2×C4—432no—
1781C2×C4—464no—
1782C2×C4—464no—
1783C2×C4—44no—
1784C2×C4—432no—
1785C2×C4—432no—
1786C2×C4—416no—
1787C2×C4C2×C3×H(5,𝔽2)18yescomplemented
1788C2×C4C26×C314yes—
1789C2×C4C26×C3116yes—
1790C2×C4C26×C3132yes—
1791C2×C4C26×C3116yes—
1792C2×C4C26×C314yes—
1793C2×C4C26×C314yes—
1794C2×C3—24no—
1795C2×C3—22no—
1796C2×C3—216no—
1797C2×C3—48no—
1798C2×C3—416no—
1799C2×C3—416no—
1800C2×C3C23×H(5,𝔽2)12yes—
1801C2×C3C2×H(7,𝔽2)11yescharacteristic
1802C22—28no—
1803C22—28no—
1804C22—22no—
1805C22—22no—
1806C22—28no—
1807C22—22no—
1808C22—28no—
1809C22—232no—
1810C22—232no—
1811C22—28no—
1812C22—216no—
1813C22—216no—
1814C22—28no—
1815C22—416no—
1816C22—432no—
1817C22—432no—
1818C22—464no—
1819C22—416no—
1820C22—832no—
1821C22—816no—
1822C22—864no—
1823C22—864no—
1824C22—832no—
1825C22—1632no—
1826C22C22×C3×H(5,𝔽2)14yes—
1827C22C22×C3×H(5,𝔽2)116yes—
1828C22C3×H(7,𝔽2)12yes—
1829C22C27×C311yescharacteristic
1830C4—24no—
1831C4—216no—
1832C4—232no—
1833C4—24no—
1834C4—216no—
1835C4C22×C3×H(5,𝔽2)18yes—
1836C3#1058647211yescharacteristic, direct product factor, Sylow
1837C2—24no—
1838C2—22no—
1839C2—216no—
1840C2—48no—
1841C2—416no—
1842C2—416no—
1843C2C23×C3×H(5,𝔽2)12yes—
1844C2C2×C3×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C3C27
commutator, Frattini, cosocleC22C27×C3
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C3 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C3×#63012C2semidirect
2. C3×#63011C2semidirect
3. C3×#62983C2semidirect
4. C3×D4×H(5,𝔽2)C2semidirect
5. C3×#62912C2semidirect
6. C3×#62892C2semidirect
7. C3×#62832C2semidirect
8. C3×#62818C2semidirect
9. C3×#62817C2semidirect
10. C3×#62773C2semidirect
11. C2×C3×#3484C2semidirect
12. C22×C3×D42C2semidirect
13. #10586472C3direct (N × H)
14. C22×C3×H(5,𝔽2)C22semidirect
15. C24×C3×D4C22semidirect
16. C3×#3558C22semidirect
17. C3×#3549C22semidirect
18. C3×#3546C22semidirect
19. C3×#3543C22semidirect
20. C3×#3543C22semidirect
21. C3×#3543C22semidirect
22. C3×#3543C22semidirect
23. C3×#3542C22semidirect
24. C3×#3542C22semidirect
25. C3×#3537C22semidirect
26. C3×#3537C22semidirect
27. C3×#3537C22semidirect
28. C3×#3536C22semidirect
29. C3×#3534C22semidirect
30. C3×#3534C22semidirect
31. C3×#3532C22semidirect
32. C3×#3532C22semidirect
33. C3×#3532C22semidirect
34. C3×#3520C22semidirect
35. C3×#3519C22semidirect
36. C3×#3519C22semidirect
37. C3×#3519C22semidirect
38. C3×#3519C22semidirect
39. C3×#3514C22semidirect
40. C3×#3513C22semidirect
41. C3×#3513C22semidirect
42. C3×#3508C22semidirect
43. C3×#3508C22semidirect
44. C3×#3506C22semidirect
45. C3×#3505C22semidirect
46. C3×#3505C22semidirect
47. C3×#3501C22semidirect
48. C3×#3498C22semidirect
49. C3×#3498C22semidirect
50. C3×#3498C22semidirect
51. C3×#3496C22semidirect
52. C3×#3496C22semidirect
53. C3×#3496C22semidirect
54. C3×#3494C22semidirect
55. C3×#3492C22semidirect
56. C3×#3490C22semidirect
57. C3×#3490C22semidirect
58. C3×#3490C22semidirect
59. C3×#3490C22semidirect
60. C3×#3488C22semidirect
61. C3×#3488C22semidirect
62. C3×#3484C22semidirect
63. C3×#3484C22semidirect
64. C3×#3484C22semidirect
65. C3×#3484C22semidirect
66. C3×#3484C22semidirect
67. C3×#3484C22semidirect
68. C3×#3484C22semidirect
69. C3×#3484C22semidirect
70. C3×#3484C22semidirect
71. C3×#3484C22semidirect
72. C3×#3484C22semidirect
73. C3×#3484C22semidirect
74. C3×#3481C22semidirect
75. C3×#3481C22semidirect
76. C3×#3475C22semidirect
77. C3×D4×#41C22semidirect
78. C3×D4×#41C22semidirect
79. C2×C3×#546C22semidirect
80. C2×C3×#546C22semidirect
81. C2×C3×D42C22semidirect
82. C2×C3×D42C22semidirect
83. C2×C3×D42C22semidirect
84. C2×C3×D42C22semidirect
85. C2×C3×D42C22semidirect
86. C2×C3×D42C22semidirect
87. C2×C3×D42C22semidirect
88. C3×#3460C22semidirect
89. C3×#3459C22semidirect
90. C2×C3×#535C22semidirect
91. C2×C3×#534C22semidirect
92. C3×#3444C22semidirect
93. C22×C3×#127C22semidirect
94. C2×C3×#525C22semidirect
95. C22×C3×#121C22semidirect
96. C22×C3×#120C22semidirect
97. C22×C3×#120C22semidirect
98. C3×C4×H(5,𝔽2)C22semidirect
99. C2×C3×#518C22semidirect
100. C22×C3×C4×D4C22semidirect
101. #63012C2×C3semidirect
102. #63011C2×C3semidirect
103. #62983C2×C3semidirect
104. D4×H(5,𝔽2)C2×C3semidirect
105. #62912C2×C3semidirect
106. #62892C2×C3semidirect
107. #62832C2×C3semidirect
108. #62818C2×C3semidirect
109. #62817C2×C3semidirect
110. #62773C2×C3semidirect
111. C2×#3484C2×C3semidirect
112. C22×D42C2×C3semidirect
113. C26×C3C23semidirect
116. C2×C3×H(5,𝔽2)C23semidirect
117. C2×C3×H(5,𝔽2)C23semidirect
118. C2×C3×H(5,𝔽2)C23semidirect
119. C2×C3×H(5,𝔽2)C23semidirect
120. C22×C3×#41C23semidirect
121. C22×C3×#41C23semidirect
125. C23×C3×D4C23semidirect
126. C23×C3×D4C23semidirect
127. C23×C3×D4C23semidirect
128. C23×C3×D4C23semidirect
129. C23×C3×D4C23semidirect
130. C23×C3×D4C23semidirect
131. C23×C3×D4C23semidirect
132. C23×C3×D4C23semidirect
133. C23×C3×D4C23semidirect
134. C23×C3×D4C23semidirect
135. C23×C3×D4C23semidirect
136. C24×C3×C4C23semidirect
137. C3×#562C23semidirect
138. C3×H(3,𝔽4)C23semidirect
139. C3×#560C23semidirect
140. C3×#560C23semidirect
141. C3×#560C23semidirect
142. C3×#560C23semidirect
143. C3×#559C23semidirect
144. C3×#559C23semidirect
145. C3×#559C23semidirect
146. C3×#556C23semidirect
147. C3×#555C23semidirect
148. C3×#555C23semidirect
149. C3×#554C23semidirect
150. C3×#554C23semidirect
151. C3×#554C23semidirect
152. C3×#553C23semidirect
153. C3×#553C23semidirect
154. C3×#553C23semidirect
155. C3×#553C23semidirect
156. C3×#553C23semidirect
157. C3×#553C23semidirect
158. C3×#553C23semidirect
159. C3×#552C23semidirect
160. C3×#552C23semidirect
161. C3×#551C23semidirect
162. C3×#551C23semidirect
163. C3×#551C23semidirect
164. C3×#551C23semidirect
165. C3×#551C23semidirect
166. C3×#551C23semidirect
167. C3×#550C23semidirect
168. C3×#550C23semidirect
169. C3×#550C23semidirect
170. C3×#550C23semidirect
171. C3×#550C23semidirect
172. C3×D4×Q8C23semidirect
173. C3×#548C23semidirect
174. C3×#548C23semidirect
175. C3×#547C23semidirect
176. C3×#547C23semidirect
177. C3×#547C23semidirect
178. C3×#547C23semidirect
179. C3×#546C23semidirect
180. C3×#546C23semidirect
181. C3×#546C23semidirect
182. C3×#546C23semidirect
183. C3×#546C23semidirect
184. C3×#546C23semidirect
185. C3×#546C23semidirect
186. C3×#546C23semidirect
187. C3×#546C23semidirect
188. C3×#546C23semidirect
189. C3×#546C23semidirect
190. C3×#546C23semidirect
191. C3×#546C23semidirect
192. C3×#546C23semidirect
193. C3×#546C23semidirect
194. C3×#546C23semidirect
195. C3×#546C23semidirect
196. C3×#546C23semidirect
197. C3×#546C23semidirect
198. C3×#546C23semidirect
199. C3×#546C23semidirect
200. C3×#546C23semidirect
201. C3×#546C23semidirect
202. C3×D42C23semidirect
203. C3×D42C23semidirect
204. C3×D42C23semidirect
205. C3×D42C23semidirect
206. C3×D42C23semidirect
207. C3×D42C23semidirect
208. C3×D42C23semidirect
209. C3×D42C23semidirect
210. C3×D42C23semidirect
211. C3×D42C23semidirect
212. C3×D42C23semidirect
213. C3×D42C23semidirect
214. C3×D42C23semidirect
215. C3×D42C23semidirect
216. C3×D42C23semidirect
217. C3×D42C23semidirect
218. C3×D42C23semidirect
219. C3×D42C23semidirect
220. C3×D42C23semidirect
221. C3×D42C23semidirect
222. C3×D42C23semidirect
223. C3×D42C23semidirect
224. C3×D42C23semidirect
225. C3×D42C23semidirect
226. C3×D42C23semidirect
227. C3×#544C23semidirect
228. C3×#543C23semidirect
229. C3×#543C23semidirect
230. C3×#542C23semidirect
231. C3×#542C23semidirect
232. C3×#540C23semidirect
233. C3×#540C23semidirect
234. C3×#540C23semidirect
235. C3×#540C23semidirect
236. C3×#540C23semidirect
237. C3×#539C23semidirect
238. C3×#539C23semidirect
239. C3×#539C23semidirect
240. C3×#538C23semidirect
241. C3×#538C23semidirect
242. C3×#538C23semidirect
243. C3×#538C23semidirect
244. C3×#538C23semidirect
245. C3×#538C23semidirect
246. C3×#538C23semidirect
247. C3×#538C23semidirect
248. C3×#538C23semidirect
249. C3×#537C23semidirect
250. C3×#537C23semidirect
251. C3×#537C23semidirect
252. C3×#535C23semidirect
253. C3×#535C23semidirect
254. C3×#535C23semidirect
255. C3×#535C23semidirect
256. C3×#535C23semidirect
257. C3×#535C23semidirect
258. C3×#535C23semidirect
259. C3×#535C23semidirect
260. C3×#535C23semidirect
261. C3×#535C23semidirect
262. C3×#535C23semidirect
263. C3×#534C23semidirect
264. C3×#534C23semidirect
265. C3×#534C23semidirect
266. C3×#534C23semidirect
267. C3×#534C23semidirect
268. C3×#534C23semidirect
269. C3×#534C23semidirect
270. C3×#534C23semidirect
271. C3×#534C23semidirect
272. C3×#534C23semidirect
273. C3×#534C23semidirect
274. C3×#534C23semidirect
275. C3×#533C23semidirect
276. C3×#533C23semidirect
277. C3×#532C23semidirect
278. C3×#532C23semidirect
279. C3×#532C23semidirect
280. C3×#532C23semidirect
281. C3×#532C23semidirect
282. C3×#532C23semidirect
283. C2×C3×#127C23semidirect
284. C2×C3×#127C23semidirect
285. C2×C3×#127C23semidirect
286. C2×C3×#127C23semidirect
287. C2×C3×#127C23semidirect
288. C3×#529C23semidirect
289. C3×#529C23semidirect
290. C3×#529C23semidirect
291. C3×#529C23semidirect
292. C3×#529C23semidirect
293. C3×#529C23semidirect
294. C2×C3×#124C23semidirect
295. C3×#525C23semidirect
296. C3×#525C23semidirect
297. C3×#525C23semidirect
298. C3×#525C23semidirect
299. C3×#525C23semidirect
300. C3×#525C23semidirect
301. C3×#525C23semidirect
302. C3×#525C23semidirect
303. C3×#525C23semidirect
304. C3×#525C23semidirect
305. C3×#525C23semidirect
306. C3×#525C23semidirect
307. C3×#525C23semidirect
308. C2×C3×#123C23semidirect
309. C2×C3×#123C23semidirect
310. C2×C3×C22⋊Q8C23semidirect
311. C2×C3×C22⋊Q8C23semidirect
312. C2×C3×#121C23semidirect
313. C2×C3×#121C23semidirect
314. C2×C3×#121C23semidirect
315. C2×C3×#121C23semidirect
316. C2×C3×#121C23semidirect
317. C2×C3×#121C23semidirect
318. C2×C3×#121C23semidirect
319. C2×C3×#121C23semidirect
320. C2×C3×#121C23semidirect
321. C2×C3×#121C23semidirect
322. C2×C3×#121C23semidirect
323. C2×C3×#121C23semidirect
324. C2×C3×#120C23semidirect
325. C2×C3×#120C23semidirect
326. C2×C3×#120C23semidirect
327. C2×C3×#120C23semidirect
328. C2×C3×#120C23semidirect
329. C2×C3×#120C23semidirect
330. C2×C3×#120C23semidirect
331. C2×C3×#120C23semidirect
332. C2×C3×#120C23semidirect
333. C2×C3×#120C23semidirect
334. C2×C3×#120C23semidirect
335. C2×C3×#120C23semidirect
336. C3×#520C23semidirect
337. C3×#520C23semidirect
339. C3×#518C23semidirect
340. C3×#518C23semidirect
341. C3×#518C23semidirect
342. C3×#518C23semidirect
343. C3×#518C23semidirect
344. C3×#518C23semidirect
345. C3×#518C23semidirect
346. C3×C4×#41C23semidirect
347. C3×C4×#41C23semidirect
348. C3×C4×#41C23semidirect
350. C2×C3×C4×D4C23semidirect
351. C2×C3×C4×D4C23semidirect
352. C2×C3×C4×D4C23semidirect
353. C2×C3×C4×D4C23semidirect
354. C2×C3×C4×D4C23semidirect
355. C2×C3×C4×D4C23semidirect
356. C2×C3×C4×D4C23semidirect
357. C2×C3×C4×D4C23semidirect
358. C2×C3×C4×D4C23semidirect
359. C2×C3×C4×D4C23semidirect
360. C2×C3×#117C23semidirect
361. C22×C3×C4⋊C4C23semidirect
362. C22×C3×C22⋊C4C23semidirect
363. C22×C3×C22⋊C4C23semidirect
364. C22×C3×C22⋊C4C23semidirect
365. C22×C3×C22⋊C4C23semidirect
366. C22×C3×C42C23semidirect
367. C22×H(5,𝔽2)C22×C3semidirect
368. C24×D4C22×C3semidirect
369. #3558C22×C3semidirect
370. #3549C22×C3semidirect
371. #3546C22×C3semidirect
372. #3543C22×C3semidirect
373. #3543C22×C3semidirect
374. #3543C22×C3semidirect
375. #3543C22×C3semidirect
376. #3542C22×C3semidirect
377. #3542C22×C3semidirect
378. #3537C22×C3semidirect
379. #3537C22×C3semidirect
380. #3537C22×C3semidirect
381. #3536C22×C3semidirect
382. #3534C22×C3semidirect
383. #3534C22×C3semidirect
384. #3532C22×C3semidirect
385. #3532C22×C3semidirect
386. #3532C22×C3semidirect
387. #3520C22×C3semidirect
388. #3519C22×C3semidirect
389. #3519C22×C3semidirect
390. #3519C22×C3semidirect
391. #3519C22×C3semidirect
392. #3514C22×C3semidirect
393. #3513C22×C3semidirect
394. #3513C22×C3semidirect
395. #3508C22×C3semidirect
396. #3508C22×C3semidirect
397. #3506C22×C3semidirect
398. #3505C22×C3semidirect
399. #3505C22×C3semidirect
400. #3501C22×C3semidirect
401. #3498C22×C3semidirect
402. #3498C22×C3semidirect
403. #3498C22×C3semidirect
404. #3496C22×C3semidirect
405. #3496C22×C3semidirect
406. #3496C22×C3semidirect
407. #3494C22×C3semidirect
408. #3492C22×C3semidirect
409. #3490C22×C3semidirect
410. #3490C22×C3semidirect
411. #3490C22×C3semidirect
412. #3490C22×C3semidirect
413. #3488C22×C3semidirect
414. #3488C22×C3semidirect
415. #3484C22×C3semidirect
416. #3484C22×C3semidirect
417. #3484C22×C3semidirect
418. #3484C22×C3semidirect
419. #3484C22×C3semidirect
420. #3484C22×C3semidirect
421. #3484C22×C3semidirect
422. #3484C22×C3semidirect
423. #3484C22×C3semidirect
424. #3484C22×C3semidirect
425. #3484C22×C3semidirect
426. #3484C22×C3semidirect
427. #3481C22×C3semidirect
428. #3481C22×C3semidirect
429. #3475C22×C3semidirect
430. D4×#41C22×C3semidirect
431. D4×#41C22×C3semidirect
432. C2×#546C22×C3semidirect
433. C2×#546C22×C3semidirect
434. C2×D42C22×C3semidirect
435. C2×D42C22×C3semidirect
436. C2×D42C22×C3semidirect
437. C2×D42C22×C3semidirect
438. C2×D42C22×C3semidirect
439. C2×D42C22×C3semidirect
440. C2×D42C22×C3semidirect
441. #3460C22×C3semidirect
442. #3459C22×C3semidirect
443. C2×#535C22×C3semidirect
444. C2×#534C22×C3semidirect
445. #3444C22×C3semidirect
446. C22×#127C22×C3semidirect
447. C2×#525C22×C3semidirect
448. C22×#121C22×C3semidirect
449. C22×#120C22×C3semidirect
450. C22×#120C22×C3semidirect
451. C4×H(5,𝔽2)C22×C3semidirect
452. C2×#518C22×C3semidirect
453. C22×C4×D4C22×C3semidirect
461. C25×C3C24semidirect
473. C2×C3×#41C24semidirect
474. C2×C3×#41C24semidirect
475. C2×C3×#41C24semidirect
476. C2×C3×#41C24semidirect
477. C2×C3×#41C24semidirect
478. C22×C3×Q8C24semidirect
519. C22×C3×D4C24semidirect
520. C22×C3×D4C24semidirect
521. C22×C3×D4C24semidirect
522. C22×C3×D4C24semidirect
523. C22×C3×D4C24semidirect
524. C22×C3×D4C24semidirect
525. C22×C3×D4C24semidirect
526. C22×C3×D4C24semidirect
527. C22×C3×D4C24semidirect
537. C23×C3×C4C24semidirect
538. C23×C3×C4C24semidirect
539. C23×C3×C4C24semidirect
540. C3×C4⋊Q8C24semidirect
541. C3×C4⋊Q8C24semidirect
542. C3×C4⋊Q8C24semidirect
547. C3×#127C24semidirect
548. C3×#127C24semidirect
549. C3×#127C24semidirect
550. C3×#127C24semidirect
551. C3×#126C24semidirect
552. C3×#126C24semidirect
553. C3×#126C24semidirect
554. C3×#126C24semidirect
555. C3×#126C24semidirect
556. C3×#125C24semidirect
557. C3×#125C24semidirect
558. C3×#125C24semidirect
559. C3×#125C24semidirect
561. C3×#124C24semidirect
562. C3×#124C24semidirect
563. C3×#124C24semidirect
564. C3×#124C24semidirect
565. C3×#124C24semidirect
566. C3×#124C24semidirect
567. C3×#124C24semidirect
568. C3×#124C24semidirect
573. C3×#123C24semidirect
574. C3×#123C24semidirect
575. C3×#123C24semidirect
576. C3×#123C24semidirect
577. C3×#123C24semidirect
578. C3×#123C24semidirect
579. C3×#123C24semidirect
580. C3×#123C24semidirect
581. C3×#123C24semidirect
582. C3×#123C24semidirect
583. C3×#123C24semidirect
584. C3×#123C24semidirect
590. C3×C22⋊Q8C24semidirect
591. C3×C22⋊Q8C24semidirect
592. C3×C22⋊Q8C24semidirect
593. C3×C22⋊Q8C24semidirect
594. C3×C22⋊Q8C24semidirect
595. C3×C22⋊Q8C24semidirect
596. C3×C22⋊Q8C24semidirect
597. C3×C22⋊Q8C24semidirect
598. C3×C22⋊Q8C24semidirect
612. C3×#121C24semidirect
613. C3×#121C24semidirect
614. C3×#121C24semidirect
615. C3×#121C24semidirect
616. C3×#121C24semidirect
617. C3×#121C24semidirect
618. C3×#121C24semidirect
619. C3×#121C24semidirect
620. C3×#121C24semidirect
621. C3×#121C24semidirect
622. C3×#121C24semidirect
623. C3×#121C24semidirect
624. C3×#121C24semidirect
625. C3×#121C24semidirect
626. C3×#121C24semidirect
627. C3×#121C24semidirect
628. C3×#121C24semidirect
629. C3×#121C24semidirect
630. C3×#121C24semidirect
631. C3×#121C24semidirect
642. C3×#120C24semidirect
643. C3×#120C24semidirect
644. C3×#120C24semidirect
645. C3×#120C24semidirect
646. C3×#120C24semidirect
647. C3×#120C24semidirect
648. C3×#120C24semidirect
649. C3×#120C24semidirect
650. C3×#120C24semidirect
651. C3×#120C24semidirect
652. C3×C4×Q8C24semidirect
653. C3×C4×Q8C24semidirect
654. C3×C4×Q8C24semidirect
655. C3×C4×Q8C24semidirect
669. C3×C4×D4C24semidirect
670. C3×C4×D4C24semidirect
671. C3×C4×D4C24semidirect
672. C3×C4×D4C24semidirect
673. C3×C4×D4C24semidirect
674. C3×C4×D4C24semidirect
675. C3×C4×D4C24semidirect
676. C3×C4×D4C24semidirect
677. C3×C4×D4C24semidirect
678. C3×C4×D4C24semidirect
679. C3×C4×D4C24semidirect
680. C3×C4×D4C24semidirect
681. C3×C4×D4C24semidirect
682. C3×C4×D4C24semidirect
683. C3×C4×D4C24semidirect
684. C3×C4×D4C24semidirect
688. C3×#117C24semidirect
689. C3×#117C24semidirect
690. C3×#117C24semidirect
691. C3×#117C24semidirect
692. C3×#117C24semidirect
693. C3×#117C24semidirect
694. C3×#117C24semidirect
699. C2×C3×C4⋊C4C24semidirect
700. C2×C3×C4⋊C4C24semidirect
701. C2×C3×C4⋊C4C24semidirect
702. C2×C3×C4⋊C4C24semidirect
703. C2×C3×C4⋊C4C24semidirect
715. C2×C3×C22⋊C4C24semidirect
716. C2×C3×C22⋊C4C24semidirect
717. C2×C3×C22⋊C4C24semidirect
718. C2×C3×C22⋊C4C24semidirect
719. C2×C3×C22⋊C4C24semidirect
720. C2×C3×C22⋊C4C24semidirect
721. C2×C3×C22⋊C4C24semidirect
722. C2×C3×C22⋊C4C24semidirect
723. C2×C3×C22⋊C4C24semidirect
727. C2×C3×C42C24semidirect
728. C2×C3×C42C24semidirect
729. C26C23×C3semidirect
732. C2×H(5,𝔽2)C23×C3semidirect
733. C2×H(5,𝔽2)C23×C3semidirect
734. C2×H(5,𝔽2)C23×C3semidirect
735. C2×H(5,𝔽2)C23×C3semidirect
736. C22×#41C23×C3semidirect
737. C22×#41C23×C3semidirect
741. C23×D4C23×C3semidirect
742. C23×D4C23×C3semidirect
743. C23×D4C23×C3semidirect
744. C23×D4C23×C3semidirect
745. C23×D4C23×C3semidirect
746. C23×D4C23×C3semidirect
747. C23×D4C23×C3semidirect
748. C23×D4C23×C3semidirect
749. C23×D4C23×C3semidirect
750. C23×D4C23×C3semidirect
751. C23×D4C23×C3semidirect
752. C24×C4C23×C3semidirect
753. #562C23×C3semidirect
754. H(3,𝔽4)C23×C3semidirect
755. #560C23×C3semidirect
756. #560C23×C3semidirect
757. #560C23×C3semidirect
758. #560C23×C3semidirect
759. #559C23×C3semidirect
760. #559C23×C3semidirect
761. #559C23×C3semidirect
762. #556C23×C3semidirect
763. #555C23×C3semidirect
764. #555C23×C3semidirect
765. #554C23×C3semidirect
766. #554C23×C3semidirect
767. #554C23×C3semidirect
768. #553C23×C3semidirect
769. #553C23×C3semidirect
770. #553C23×C3semidirect
771. #553C23×C3semidirect
772. #553C23×C3semidirect
773. #553C23×C3semidirect
774. #553C23×C3semidirect
775. #552C23×C3semidirect
776. #552C23×C3semidirect
777. #551C23×C3semidirect
778. #551C23×C3semidirect
779. #551C23×C3semidirect
780. #551C23×C3semidirect
781. #551C23×C3semidirect
782. #551C23×C3semidirect
783. #550C23×C3semidirect
784. #550C23×C3semidirect
785. #550C23×C3semidirect
786. #550C23×C3semidirect
787. #550C23×C3semidirect
788. D4×Q8C23×C3semidirect
789. #548C23×C3semidirect
790. #548C23×C3semidirect
791. #547C23×C3semidirect
792. #547C23×C3semidirect
793. #547C23×C3semidirect
794. #547C23×C3semidirect
795. #546C23×C3semidirect
796. #546C23×C3semidirect
797. #546C23×C3semidirect
798. #546C23×C3semidirect
799. #546C23×C3semidirect
800. #546C23×C3semidirect
801. #546C23×C3semidirect
802. #546C23×C3semidirect
803. #546C23×C3semidirect
804. #546C23×C3semidirect
805. #546C23×C3semidirect
806. #546C23×C3semidirect
807. #546C23×C3semidirect
808. #546C23×C3semidirect
809. #546C23×C3semidirect
810. #546C23×C3semidirect
811. #546C23×C3semidirect
812. #546C23×C3semidirect
813. #546C23×C3semidirect
814. #546C23×C3semidirect
815. #546C23×C3semidirect
816. #546C23×C3semidirect
817. #546C23×C3semidirect
818. D42C23×C3semidirect
819. D42C23×C3semidirect
820. D42C23×C3semidirect
821. D42C23×C3semidirect
822. D42C23×C3semidirect
823. D42C23×C3semidirect
824. D42C23×C3semidirect
825. D42C23×C3semidirect
826. D42C23×C3semidirect
827. D42C23×C3semidirect
828. D42C23×C3semidirect
829. D42C23×C3semidirect
830. D42C23×C3semidirect
831. D42C23×C3semidirect
832. D42C23×C3semidirect
833. D42C23×C3semidirect
834. D42C23×C3semidirect
835. D42C23×C3semidirect
836. D42C23×C3semidirect
837. D42C23×C3semidirect
838. D42C23×C3semidirect
839. D42C23×C3semidirect
840. D42C23×C3semidirect
841. D42C23×C3semidirect
842. D42C23×C3semidirect
843. #544C23×C3semidirect
844. #543C23×C3semidirect
845. #543C23×C3semidirect
846. #542C23×C3semidirect
847. #542C23×C3semidirect
848. #540C23×C3semidirect
849. #540C23×C3semidirect
850. #540C23×C3semidirect
851. #540C23×C3semidirect
852. #540C23×C3semidirect
853. #539C23×C3semidirect
854. #539C23×C3semidirect
855. #539C23×C3semidirect
856. #538C23×C3semidirect
857. #538C23×C3semidirect
858. #538C23×C3semidirect
859. #538C23×C3semidirect
860. #538C23×C3semidirect
861. #538C23×C3semidirect
862. #538C23×C3semidirect
863. #538C23×C3semidirect
864. #538C23×C3semidirect
865. #537C23×C3semidirect
866. #537C23×C3semidirect
867. #537C23×C3semidirect
868. #535C23×C3semidirect
869. #535C23×C3semidirect
870. #535C23×C3semidirect
871. #535C23×C3semidirect
872. #535C23×C3semidirect
873. #535C23×C3semidirect
874. #535C23×C3semidirect
875. #535C23×C3semidirect
876. #535C23×C3semidirect
877. #535C23×C3semidirect
878. #535C23×C3semidirect
879. #534C23×C3semidirect
880. #534C23×C3semidirect
881. #534C23×C3semidirect
882. #534C23×C3semidirect
883. #534C23×C3semidirect
884. #534C23×C3semidirect
885. #534C23×C3semidirect
886. #534C23×C3semidirect
887. #534C23×C3semidirect
888. #534C23×C3semidirect
889. #534C23×C3semidirect
890. #534C23×C3semidirect
891. #533C23×C3semidirect
892. #533C23×C3semidirect
893. #532C23×C3semidirect
894. #532C23×C3semidirect
895. #532C23×C3semidirect
896. #532C23×C3semidirect
897. #532C23×C3semidirect
898. #532C23×C3semidirect
899. C2×#127C23×C3semidirect
900. C2×#127C23×C3semidirect
901. C2×#127C23×C3semidirect
902. C2×#127C23×C3semidirect
903. C2×#127C23×C3semidirect
904. #529C23×C3semidirect
905. #529C23×C3semidirect
906. #529C23×C3semidirect
907. #529C23×C3semidirect
908. #529C23×C3semidirect
909. #529C23×C3semidirect
910. C2×#124C23×C3semidirect
911. #525C23×C3semidirect
912. #525C23×C3semidirect
913. #525C23×C3semidirect
914. #525C23×C3semidirect
915. #525C23×C3semidirect
916. #525C23×C3semidirect
917. #525C23×C3semidirect
918. #525C23×C3semidirect
919. #525C23×C3semidirect
920. #525C23×C3semidirect
921. #525C23×C3semidirect
922. #525C23×C3semidirect
923. #525C23×C3semidirect
924. C2×#123C23×C3semidirect
925. C2×#123C23×C3semidirect
926. C2×C22⋊Q8C23×C3semidirect
927. C2×C22⋊Q8C23×C3semidirect
928. C2×#121C23×C3semidirect
929. C2×#121C23×C3semidirect
930. C2×#121C23×C3semidirect
931. C2×#121C23×C3semidirect
932. C2×#121C23×C3semidirect
933. C2×#121C23×C3semidirect
934. C2×#121C23×C3semidirect
935. C2×#121C23×C3semidirect
936. C2×#121C23×C3semidirect
937. C2×#121C23×C3semidirect
938. C2×#121C23×C3semidirect
939. C2×#121C23×C3semidirect
940. C2×#120C23×C3semidirect
941. C2×#120C23×C3semidirect
942. C2×#120C23×C3semidirect
943. C2×#120C23×C3semidirect
944. C2×#120C23×C3semidirect
945. C2×#120C23×C3semidirect
946. C2×#120C23×C3semidirect
947. C2×#120C23×C3semidirect
948. C2×#120C23×C3semidirect
949. C2×#120C23×C3semidirect
950. C2×#120C23×C3semidirect
951. C2×#120C23×C3semidirect
952. #520C23×C3semidirect
953. #520C23×C3semidirect
955. #518C23×C3semidirect
956. #518C23×C3semidirect
957. #518C23×C3semidirect
958. #518C23×C3semidirect
959. #518C23×C3semidirect
960. #518C23×C3semidirect
961. #518C23×C3semidirect
962. C4×#41C23×C3semidirect
963. C4×#41C23×C3semidirect
964. C4×#41C23×C3semidirect
966. C2×C4×D4C23×C3semidirect
967. C2×C4×D4C23×C3semidirect
968. C2×C4×D4C23×C3semidirect
969. C2×C4×D4C23×C3semidirect
970. C2×C4×D4C23×C3semidirect
971. C2×C4×D4C23×C3semidirect
972. C2×C4×D4C23×C3semidirect
973. C2×C4×D4C23×C3semidirect
974. C2×C4×D4C23×C3semidirect
975. C2×C4×D4C23×C3semidirect
976. C2×#117C23×C3semidirect
977. C22×C4⋊C4C23×C3semidirect
978. C22×C22⋊C4C23×C3semidirect
979. C22×C22⋊C4C23×C3semidirect
980. C22×C22⋊C4C23×C3semidirect
981. C22×C22⋊C4C23×C3semidirect
982. C22×C42C23×C3semidirect
1059. C2×C3×D4H(5,𝔽2)semidirect
1150. C25C24×C3semidirect
1162. C2×#41C24×C3semidirect
1163. C2×#41C24×C3semidirect
1164. C2×#41C24×C3semidirect
1165. C2×#41C24×C3semidirect
1166. C2×#41C24×C3semidirect
1167. C22×Q8C24×C3semidirect
1208. C22×D4C24×C3semidirect
1209. C22×D4C24×C3semidirect
1210. C22×D4C24×C3semidirect
1211. C22×D4C24×C3semidirect
1212. C22×D4C24×C3semidirect
1213. C22×D4C24×C3semidirect
1214. C22×D4C24×C3semidirect
1215. C22×D4C24×C3semidirect
1216. C22×D4C24×C3semidirect
1226. C23×C4C24×C3semidirect
1227. C23×C4C24×C3semidirect
1228. C23×C4C24×C3semidirect
1229. C4⋊Q8C24×C3semidirect
1230. C4⋊Q8C24×C3semidirect
1231. C4⋊Q8C24×C3semidirect
1236. #127C24×C3semidirect
1237. #127C24×C3semidirect
1238. #127C24×C3semidirect
1239. #127C24×C3semidirect
1240. #126C24×C3semidirect
1241. #126C24×C3semidirect
1242. #126C24×C3semidirect
1243. #126C24×C3semidirect
1244. #126C24×C3semidirect
1245. #125C24×C3semidirect
1246. #125C24×C3semidirect
1247. #125C24×C3semidirect
1248. #125C24×C3semidirect
1250. #124C24×C3semidirect
1251. #124C24×C3semidirect
1252. #124C24×C3semidirect
1253. #124C24×C3semidirect
1254. #124C24×C3semidirect
1255. #124C24×C3semidirect
1256. #124C24×C3semidirect
1257. #124C24×C3semidirect
1262. #123C24×C3semidirect
1263. #123C24×C3semidirect
1264. #123C24×C3semidirect
1265. #123C24×C3semidirect
1266. #123C24×C3semidirect
1267. #123C24×C3semidirect
1268. #123C24×C3semidirect
1269. #123C24×C3semidirect
1270. #123C24×C3semidirect
1271. #123C24×C3semidirect
1272. #123C24×C3semidirect
1273. #123C24×C3semidirect
1279. C22⋊Q8C24×C3semidirect
1280. C22⋊Q8C24×C3semidirect
1281. C22⋊Q8C24×C3semidirect
1282. C22⋊Q8C24×C3semidirect
1283. C22⋊Q8C24×C3semidirect
1284. C22⋊Q8C24×C3semidirect
1285. C22⋊Q8C24×C3semidirect
1286. C22⋊Q8C24×C3semidirect
1287. C22⋊Q8C24×C3semidirect
1301. #121C24×C3semidirect
1302. #121C24×C3semidirect
1303. #121C24×C3semidirect
1304. #121C24×C3semidirect
1305. #121C24×C3semidirect
1306. #121C24×C3semidirect
1307. #121C24×C3semidirect
1308. #121C24×C3semidirect
1309. #121C24×C3semidirect
1310. #121C24×C3semidirect
1311. #121C24×C3semidirect
1312. #121C24×C3semidirect
1313. #121C24×C3semidirect
1314. #121C24×C3semidirect
1315. #121C24×C3semidirect
1316. #121C24×C3semidirect
1317. #121C24×C3semidirect
1318. #121C24×C3semidirect
1319. #121C24×C3semidirect
1320. #121C24×C3semidirect
1331. #120C24×C3semidirect
1332. #120C24×C3semidirect
1333. #120C24×C3semidirect
1334. #120C24×C3semidirect
1335. #120C24×C3semidirect
1336. #120C24×C3semidirect
1337. #120C24×C3semidirect
1338. #120C24×C3semidirect
1339. #120C24×C3semidirect
1340. #120C24×C3semidirect
1341. C4×Q8C24×C3semidirect
1342. C4×Q8C24×C3semidirect
1343. C4×Q8C24×C3semidirect
1344. C4×Q8C24×C3semidirect
1358. C4×D4C24×C3semidirect
1359. C4×D4C24×C3semidirect
1360. C4×D4C24×C3semidirect
1361. C4×D4C24×C3semidirect
1362. C4×D4C24×C3semidirect
1363. C4×D4C24×C3semidirect
1364. C4×D4C24×C3semidirect
1365. C4×D4C24×C3semidirect
1366. C4×D4C24×C3semidirect
1367. C4×D4C24×C3semidirect
1368. C4×D4C24×C3semidirect
1369. C4×D4C24×C3semidirect
1370. C4×D4C24×C3semidirect
1371. C4×D4C24×C3semidirect
1372. C4×D4C24×C3semidirect
1373. C4×D4C24×C3semidirect
1377. #117C24×C3semidirect
1378. #117C24×C3semidirect
1379. #117C24×C3semidirect
1380. #117C24×C3semidirect
1381. #117C24×C3semidirect
1382. #117C24×C3semidirect
1383. #117C24×C3semidirect
1388. C2×C4⋊C4C24×C3semidirect
1389. C2×C4⋊C4C24×C3semidirect
1390. C2×C4⋊C4C24×C3semidirect
1391. C2×C4⋊C4C24×C3semidirect
1392. C2×C4⋊C4C24×C3semidirect
1404. C2×C22⋊C4C24×C3semidirect
1405. C2×C22⋊C4C24×C3semidirect
1406. C2×C22⋊C4C24×C3semidirect
1407. C2×C22⋊C4C24×C3semidirect
1408. C2×C22⋊C4C24×C3semidirect
1409. C2×C22⋊C4C24×C3semidirect
1410. C2×C22⋊C4C24×C3semidirect
1411. C2×C22⋊C4C24×C3semidirect
1412. C2×C22⋊C4C24×C3semidirect
1416. C2×C42C24×C3semidirect
1417. C2×C42C24×C3semidirect
1454. C23×C3C2×H(5,𝔽2)semidirect
1481. C3×D4C2×H(5,𝔽2)semidirect
1502. C2×C3×C4C2×H(5,𝔽2)semidirect
1585. C2×D4C3×H(5,𝔽2)semidirect
1739. C23C2×C3×H(5,𝔽2)semidirect
1766. D4C2×C3×H(5,𝔽2)semidirect
1787. C2×C4C2×C3×H(5,𝔽2)semidirect
1836. C3#10586472direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C3×#630122
C3×#630112
C3×#629832
C3×D4×H(5,𝔽2)2
C3×#629122
C3×#628922
C3×#628322
C3×#628182
C3×#628172
C3×#627732
C2×C3×#34842
C22×C3×D422
#105864723