Finite Group Databasebeta

← C13×#62892 #15749231

Subgroups — C13×#62892 #15749231

Order 3328.

8158 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3558C212yesmaximal, complemented
2C13×#3543C214yesmaximal, complemented
3C13×#3542C214yesmaximal, complemented
4C13×#3537C214yesmaximal, complemented
5C13×#3537C212yesmaximal, complemented
6C13×#3534C218yesmaximal, complemented
7C13×#3534C214yesmaximal, complemented
8C13×#3532C218yesmaximal, complemented
9C13×#3519C212yesmaximal, complemented
10C13×#3513C214yesmaximal, complemented
11C13×#3505C212yesmaximal, complemented
12C13×#3496C211yesmaximal, characteristic, complemented
13C13×#3490C212yesmaximal, complemented
14C13×#3488C212yesmaximal, complemented
15C13×#3484C214yesmaximal, complemented
16C13×#3484C214yesmaximal, complemented
17C2×C13×#546C211yesmaximal, characteristic, complemented
18C2×D42×C13C212yesmaximal, complemented
19C13×#3459C211yesmaximal, characteristic, complemented
20C2×C13×#534C212yesmaximal, complemented
21C2×C13×H(5,𝔽2)C2212yescomplemented
22C2×C13×H(5,𝔽2)C2212yescomplemented
23C22×C13×#41C2211yescharacteristic, complemented
24C23×D4×C13C2211yescharacteristic, complemented
25C23×D4×C13C2214yescomplemented
26C23×D4×C13C2212yescomplemented
27C13×#562C2218yescomplemented
28C13×#562C2214yescomplemented
29C13×H(3,𝔽4)C2214yescomplemented
30C13×#560C2218yescomplemented
31C13×#560C2218yescomplemented
32C13×#560C2218yescomplemented
33C13×#560C2218yescomplemented
34C13×#559C2214yescomplemented
35C13×#555C2212yescomplemented
36C13×#554C2212yescomplemented
37C13×#553C2218yescomplemented
38C13×#553C2214yescomplemented
39C13×#553C2214yescomplemented
40C13×#553C2214yescomplemented
41C13×#553C2218yescomplemented
42C13×#552C2214yescomplemented
43C13×#551C2218yescomplemented
44C13×#551C2218yescomplemented
45C13×#551C2218yescomplemented
46C13×#551C2218yescomplemented
47C13×#550C2212yescomplemented
48C13×#550C2214yescomplemented
49C13×#548C2214yescomplemented
50C13×#547C2214yescomplemented
51C13×#546C2214yescomplemented
52C13×#546C2214yescomplemented
53C13×#546C2214yescomplemented
54C13×#546C2218yescomplemented
55C13×#546C2218yescomplemented
56C13×#546C2218yescomplemented
57C13×#546C2218yescomplemented
58C13×#546C2218yescomplemented
59C13×#546C2218yescomplemented
60C13×#546C2214yescomplemented
61C13×#546C2218yescomplemented
62C13×#546C2214yescomplemented
63C13×#546C2214yescomplemented
64C13×#546C2218yescomplemented
65C13×#546C2218yescomplemented
66C13×#546C2218yescomplemented
67D42×C13C2214yescomplemented
68D42×C13C2218yescomplemented
69D42×C13C2214yescomplemented
70D42×C13C2214yescomplemented
71D42×C13C2212yescomplemented
72D42×C13C2218yescomplemented
73D42×C13C2218yescomplemented
74D42×C13C2218yescomplemented
75D42×C13C2218yescomplemented
76D42×C13C2214yescomplemented
77D42×C13C2214yescomplemented
78D42×C13C2214yescomplemented
79D42×C13C2218yescomplemented
80D42×C13C2218yescomplemented
81C13×#543C2211yescharacteristic, complemented
82C13×#542C2214yescomplemented
83C13×#540C2214yescomplemented
84C13×#540C2214yescomplemented
85C13×#540C2218yescomplemented
86C13×#540C2218yescomplemented
87C13×#539C2214yescomplemented
88C13×#539C2212yescomplemented
89C13×#539C2214yescomplemented
90C13×#539C2218yescomplemented
91C13×#538C2214yescomplemented
92C13×#538C2218yescomplemented
93C13×#538C2214yescomplemented
94C13×#538C2212yescomplemented
95C13×#538C2218yescomplemented
96C13×#538C2218yescomplemented
97C13×#538C2218yescomplemented
98C13×#538C2214yescomplemented
99C13×#538C2214yescomplemented
100C13×#538C2214yescomplemented
101C13×#537C2214yescomplemented
102C13×#537C2212yescomplemented
103C13×#537C2212yescomplemented
104C13×#535C2218yescomplemented
105C13×#535C2214yescomplemented
106C13×#535C2214yescomplemented
107C13×#535C2214yescomplemented
108C13×#535C2218yescomplemented
109C13×#535C2212yescomplemented
110C13×#534C2211yescharacteristic, complemented
111C13×#534C2214yescomplemented
112C13×#534C2212yescomplemented
113C13×#534C2212yescomplemented
114C13×#534C2218yescomplemented
115C13×#534C2218yescomplemented
116C13×#534C2218yescomplemented
117C13×#534C2218yescomplemented
118C13×#534C2214yescomplemented
119C13×#534C2218yescomplemented
120C13×#534C2214yescomplemented
121C13×#534C2214yescomplemented
122C13×#534C2212yescomplemented
123C13×#532C2212yescomplemented
124C2×C13×#127C2212yescomplemented
125C13×#529C2214yescomplemented
126C13×#529C2212yescomplemented
127C13×#529C2214yescomplemented
128C2×C13×#124C2211yescharacteristic, complemented
129C13×#525C2214yescomplemented
130C13×#525C2218yescomplemented
131C13×#525C2212yescomplemented
132C13×#525C2214yescomplemented
133C13×#525C2214yescomplemented
134C13×#525C2214yescomplemented
135C2×C13×#123C2218yescomplemented
136C2×C13×#123C2212yescomplemented
137C2×C13×C22⋊Q8C2211yescharacteristic, complemented
138C2×C13×#121C2212yescomplemented
139C2×C13×#121C2214yescomplemented
140C2×C13×#121C2212yescomplemented
141C2×C13×#121C2214yescomplemented
142C2×C13×#121C2214yescomplemented
143C2×C13×#121C2211yescharacteristic, complemented
144C2×C13×#121C2212yescomplemented
145C2×C13×#121C2212yescomplemented
146C2×C13×#120C2214yescomplemented
147C2×C13×#120C2212yescomplemented
148C2×C13×#120C2214yescomplemented
149C2×C13×#120C2218yescomplemented
150C2×C13×#120C2218yescomplemented
151C13×#520C2212yescomplemented
152C13×#518C2214yescomplemented
153C13×#518C2214yescomplemented
154C2×C4×D4×C13C2212yescomplemented
155C2×C4×D4×C13C2211yescharacteristic, complemented
156C2×C4×D4×C13C2211yescharacteristic, complemented
157C2×C4×D4×C13C2212yescomplemented
158C22×C13×C22⋊C4C2212yescomplemented
159C25×C13C2312yes—
160C25×C13C2314yescomplemented
161C13×H(5,𝔽2)—48no—
162C13×H(5,𝔽2)—48no—
163C2×C13×#41—44no—
164C2×C13×#41C2312yes—
165C2×C13×#41C2312yescomplemented
166C2×C13×#41C2318yescomplemented
167C2×C13×#41C2314yescomplemented
168C2×C13×#41C2314yescomplemented
169C2×C13×#41C2314yescomplemented
170C2×C13×#41C2314yescomplemented
171C2×C13×#41C2312yescomplemented
172C2×C13×#41C2314yescomplemented
173C22×Q8×C13C2311yescharacteristic, complemented
174C22×D4×C13—44no—
175C22×D4×C13—48no—
176C22×D4×C13—416no—
177C22×D4×C13C2311yescharacteristic
178C22×D4×C13C2312yes—
179C22×D4×C13C2311yescharacteristic
180C22×D4×C13C2312yes—
181C22×D4×C13C2314yes—
182C22×D4×C13C2314yes—
183C22×D4×C13C2314yes—
184C22×D4×C13C2318yes—
185C22×D4×C13C2312yes—
186C22×D4×C13C2311yescharacteristic
187C22×D4×C13C2312yes—
188C22×D4×C13C2318yes—
189C22×D4×C13C2314yescomplemented
190C22×D4×C13C2314yescomplemented
191C22×D4×C13C2312yescomplemented
192C22×D4×C13C2314yescomplemented
193C22×D4×C13C2318yescomplemented
194C22×D4×C13C2318yescomplemented
195C22×D4×C13C2318yescomplemented
196C22×D4×C13C2314yescomplemented
197C22×D4×C13C2312yescomplemented
198C22×D4×C13C2314yescomplemented
199C22×D4×C13C2312yescomplemented
200C22×D4×C13C2318yescomplemented
201C22×D4×C13C2318yescomplemented
202C22×D4×C13C2314yescomplemented
203C22×D4×C13C2314yescomplemented
204C22×D4×C13C2314yescomplemented
205C22×D4×C13C2312yescomplemented
206C22×D4×C13C2318yescomplemented
207C23×C4×C13C2311yescharacteristic
208C23×C4×C13C2312yescomplemented
209C23×C4×C13C2311yescharacteristic, complemented
210C23×C4×C13C2314yescomplemented
211C23×C4×C13C2312yescomplemented
212C23×C4×C13C2312yescomplemented
213C13×C4⋊Q8C2312yescomplemented
214C13×#127C2314yes—
215C13×#127C2314yescomplemented
216C13×#127C2318yescomplemented
217C13×#127C2312yescomplemented
218C13×#127C2318yescomplemented
219C13×#127C2318yescomplemented
220C13×#126C2314yescomplemented
221C13×#126C2314yescomplemented
222C13×#126C2318yescomplemented
223C13×#126C2314yescomplemented
224C13×#126C2318yescomplemented
225C13×#126C2318yescomplemented
226C13×#126C2318yescomplemented
227C13×#126C2318yescomplemented
228C13×#125C2314yescomplemented
229C13×#125C2312yescomplemented
230C13×#125C2314yescomplemented
231C13×#125C2318yescomplemented
232C13×#124C2314yescomplemented
233C13×#124C2314yescomplemented
234C13×#124C2314yescomplemented
235C13×#124C2314yescomplemented
236C13×#124C2312yescomplemented
237C13×#124C2314yescomplemented
238C13×#124C2318yescomplemented
239C13×#124C2318yescomplemented
240C13×#124C2318yescomplemented
241C13×#124C2318yescomplemented
242C13×#124C2318yescomplemented
243C13×#123C2314yes—
244C13×#123C2318yes—
245C13×#123C2318yescomplemented
246C13×#123C2318yescomplemented
247C13×#123C2318yescomplemented
248C13×#123C2318yescomplemented
249C13×#123C2318yescomplemented
250C13×#123C2318yescomplemented
251C13×#123C2318yescomplemented
252C13×#123C2318yescomplemented
253C13×#123C2314yescomplemented
254C13×#123C2314yescomplemented
255C13×#123C2314yescomplemented
256C13×#123C2318yescomplemented
257C13×#123C2318yescomplemented
258C13×#123C2314yescomplemented
259C13×#123C2318yescomplemented
260C13×#123C2314yescomplemented
261C13×#123C2318yescomplemented
262C13×#123C2318yescomplemented
263C13×#123C2318yescomplemented
264C13×#123C2318yescomplemented
265C13×#123C2318yescomplemented
266C13×#123C2318yescomplemented
267C13×#123C2318yescomplemented
268C13×C22⋊Q8C2314yescomplemented
269C13×C22⋊Q8C2314yescomplemented
270C13×C22⋊Q8C2312yescomplemented
271C13×C22⋊Q8C2312yescomplemented
272C13×C22⋊Q8C2312yescomplemented
273C13×C22⋊Q8C2314yescomplemented
274C13×C22⋊Q8C2314yescomplemented
275C13×C22⋊Q8C2314yescomplemented
276C13×C22⋊Q8C2318yescomplemented
277C13×C22⋊Q8C2314yescomplemented
278C13×C22⋊Q8C2318yescomplemented
279C13×C22⋊Q8C2314yescomplemented
280C13×C22⋊Q8C2314yescomplemented
281C13×C22⋊Q8C2318yescomplemented
282C13×C22⋊Q8C2318yescomplemented
283C13×#121C2312yes—
284C13×#121C2312yes—
285C13×#121C2314yes—
286C13×#121C2318yes—
287C13×#121C2314yes—
288C13×#121C2314yes—
289C13×#121C2314yes—
290C13×#121C2314yes—
291C13×#121C2314yescomplemented
292C13×#121C2314yescomplemented
293C13×#121C2314yescomplemented
294C13×#121C2314yescomplemented
295C13×#121C2314yescomplemented
296C13×#121C2318yescomplemented
297C13×#121C2318yescomplemented
298C13×#121C2318yescomplemented
299C13×#121C2318yescomplemented
300C13×#121C2314yescomplemented
301C13×#121C2314yescomplemented
302C13×#121C2314yescomplemented
303C13×#121C2318yescomplemented
304C13×#121C2314yescomplemented
305C13×#121C2314yescomplemented
306C13×#121C2314yescomplemented
307C13×#121C2314yescomplemented
308C13×#121C2318yescomplemented
309C13×#121C2318yescomplemented
310C13×#121C2314yescomplemented
311C13×#121C2318yescomplemented
312C13×#121C2318yescomplemented
313C13×#121C2318yescomplemented
314C13×#121C2312yescomplemented
315C13×#121C2314yescomplemented
316C13×#121C2318yescomplemented
317C13×#121C2314yescomplemented
318C13×#121C2314yescomplemented
319C13×#121C2314yescomplemented
320C13×#121C2318yescomplemented
321C13×#121C2318yescomplemented
322C13×#121C2318yescomplemented
323C13×#121C2318yescomplemented
324C13×#121C2318yescomplemented
325C13×#121C2318yescomplemented
326C13×#121C2318yescomplemented
327C13×#121C2318yescomplemented
328C13×#121C2318yescomplemented
329C13×#121C2318yescomplemented
330C13×#121C2318yescomplemented
331C13×#121C2318yescomplemented
332C13×#121C2318yescomplemented
333C13×#120C2314yes—
334C13×#120C2318yes—
335C13×#120C2318yes—
336C13×#120C2318yes—
337C13×#120C2318yes—
338C13×#120C2318yescomplemented
339C13×#120C2314yescomplemented
340C13×#120C2318yescomplemented
341C13×#120C2318yescomplemented
342C13×#120C2318yescomplemented
343C13×#120C2318yescomplemented
344C13×#120C2318yescomplemented
345C13×#120C2318yescomplemented
346C13×#120C2318yescomplemented
347C13×#120C2318yescomplemented
348C13×#120C2318yescomplemented
349C13×#120C2318yescomplemented
350C13×#120C2318yescomplemented
351C13×#120C2318yescomplemented
352C13×#120C2318yescomplemented
353C13×#120C2318yescomplemented
354C13×#120C2318yescomplemented
355C13×#120C2318yescomplemented
356C13×#120C2314yescomplemented
357C13×#120C2318yescomplemented
358C13×#120C2318yescomplemented
359C13×#120C2318yescomplemented
360C4×Q8×C13C2314yescomplemented
361C4×Q8×C13C2312yescomplemented
362C4×D4×C13C2312yes—
363C4×D4×C13C2314yes—
364C4×D4×C13C2314yes—
365C4×D4×C13C2314yes—
366C4×D4×C13C2314yescomplemented
367C4×D4×C13C2314yescomplemented
368C4×D4×C13C2314yescomplemented
369C4×D4×C13C2318yescomplemented
370C4×D4×C13C2314yescomplemented
371C4×D4×C13C2314yescomplemented
372C4×D4×C13C2312yescomplemented
373C4×D4×C13C2314yescomplemented
374C4×D4×C13C2318yescomplemented
375C4×D4×C13C2318yescomplemented
376C4×D4×C13C2318yescomplemented
377C4×D4×C13C2318yescomplemented
378C4×D4×C13C2318yescomplemented
379C4×D4×C13C2318yescomplemented
380C4×D4×C13C2314yescomplemented
381C4×D4×C13C2314yescomplemented
382C4×D4×C13C2318yescomplemented
383C4×D4×C13C2312yescomplemented
384C4×D4×C13C2314yescomplemented
385C4×D4×C13C2318yescomplemented
386C4×D4×C13C2318yescomplemented
387C4×D4×C13C2318yescomplemented
388C4×D4×C13C2318yescomplemented
389C4×D4×C13C2314yescomplemented
390C13×#117C2314yescomplemented
391C13×#117C2318yescomplemented
392C13×#117C2314yescomplemented
393C13×#117C2312yescomplemented
394C13×#117C2314yescomplemented
395C13×#117C2314yescomplemented
396C13×#117C2318yescomplemented
397C2×C13×C4⋊C4C2312yescomplemented
398C2×C13×C4⋊C4C2312yescomplemented
399C2×C13×C4⋊C4C2311yescharacteristic, complemented
400C2×C13×C4⋊C4C2311yescharacteristic, complemented
401C2×C13×C4⋊C4C2314yescomplemented
402C2×C13×C4⋊C4C2312yescomplemented
403C2×C13×C4⋊C4C2312yescomplemented
404C2×C13×C4⋊C4C2314yescomplemented
405C2×C13×C22⋊C4C2311yescharacteristic
406C2×C13×C22⋊C4C2312yes—
407C2×C13×C22⋊C4C2312yes—
408C2×C13×C22⋊C4C2318yescomplemented
409C2×C13×C22⋊C4C2312yescomplemented
410C2×C13×C22⋊C4C2312yescomplemented
411C2×C13×C22⋊C4C2318yescomplemented
412C2×C13×C22⋊C4C2312yescomplemented
413C2×C13×C22⋊C4C2314yescomplemented
414C2×C13×C22⋊C4C2312yescomplemented
415C2×C13×C22⋊C4C2311yescharacteristic, complemented
416C2×C13×C22⋊C4C2318yescomplemented
417C2×C13×C22⋊C4C2318yescomplemented
418C2×C13×C22⋊C4C2318yescomplemented
419C2×C13×C22⋊C4C2314yescomplemented
420C2×C13×C22⋊C4C2314yescomplemented
421C2×C13×C22⋊C4C2318yescomplemented
422C2×C13×C22⋊C4C2312yescomplemented
423C2×C13×C22⋊C4C2318yescomplemented
424C2×C13×C22⋊C4C2314yescomplemented
425C2×C42×C13C2311yescharacteristic, complemented
426C2×C42×C13C2312yescomplemented
427#62892C1311yesmaximal, characteristic, direct product factor, Sylow
428C24×C13—28no—
429C24×C13—44no—
430C24×C13—48no—
431C24×C13—48no—
432C24×C13—82no—
433C24×C13—84no—
434C24×C13C2414yes—
435C24×C13C2412yes—
436C24×C13C2414yes—
437C24×C13C2414yes—
438C24×C13C2418yes—
439C24×C13C2412yes—
440C24×C13C2412yes—
441C24×C13C2411yescharacteristic
442C24×C13C2418yes—
443C24×C13C2414yes—
444C24×C13C2411yescharacteristic
445C13×#41—28no—
446C13×#41—44no—
447C13×#41—48no—
448C13×#41—416no—
449C13×#41—48no—
450C13×#41—48no—
451C13×#41—44no—
452C13×#41—48no—
453C13×#41—84no—
454C2×Q8×C13—42no—
455C2×Q8×C13C2412yes—
456C2×Q8×C13C2412yes—
457C2×Q8×C13C2412yes—
458C2×Q8×C13C2412yes—
459C2×Q8×C13C2414yes—
460C2×D4×C13—28no—
461C2×D4×C13—216no—
462C2×D4×C13—24no—
463C2×D4×C13—28no—
464C2×D4×C13—24no—
465C2×D4×C13—216no—
466C2×D4×C13—44no—
467C2×D4×C13—42no—
468C2×D4×C13—44no—
469C2×D4×C13—48no—
470C2×D4×C13—44no—
471C2×D4×C13—48no—
472C2×D4×C13—48no—
473C2×D4×C13—48no—
474C2×D4×C13—44no—
475C2×D4×C13—416no—
476C2×D4×C13—416no—
477C2×D4×C13—48no—
478C2×D4×C13—416no—
479C2×D4×C13—416no—
480C2×D4×C13—416no—
481C2×D4×C13—48no—
482C2×D4×C13—44no—
483C2×D4×C13—48no—
484C2×D4×C13—416no—
485C2×D4×C13—416no—
486C2×D4×C13—82no—
487C2×D4×C13—84no—
488C2×D4×C13—84no—
489C2×D4×C13—88no—
490C2×D4×C13C2414yes—
491C2×D4×C13C2418yes—
492C2×D4×C13C2414yes—
493C2×D4×C13C2418yes—
494C2×D4×C13C2414yes—
495C2×D4×C13C2412yes—
496C2×D4×C13C2414yes—
497C2×D4×C13C2418yes—
498C2×D4×C13C2414yes—
499C2×D4×C13C2412yes—
500C2×D4×C13C2414yes—
501C2×D4×C13C2411yescharacteristic
502C2×D4×C13C2412yes—
503C2×D4×C13C2418yes—
504C2×D4×C13C2418yes—
505C2×D4×C13C2418yes—
506C2×D4×C13C2414yes—
507C2×D4×C13C2414yes—
508C2×D4×C13C2418yes—
509C2×D4×C13C2412yes—
510C2×D4×C13C2418yes—
511C2×D4×C13C2418yes—
512C2×D4×C13C2418yes—
513C2×D4×C13C2414yes—
514C2×D4×C13C2414yes—
515C2×D4×C13C2412yes—
516C2×D4×C13C2414yes—
517C2×D4×C13C2414yes—
518C2×D4×C13C2418yes—
519C2×D4×C13C2418yes—
520C2×D4×C13C2414yes—
521C2×D4×C13C2418yes—
522C2×D4×C13C2414yes—
523C2×D4×C13C2418yes—
524C2×D4×C13C2411yescharacteristic
525C22×C4×C13—42no—
526C22×C4×C13—44no—
527C22×C4×C13—42no—
528C22×C4×C13—48no—
529C22×C4×C13—44no—
530C22×C4×C13—82no—
531C22×C4×C13C2411yescharacteristic
532C22×C4×C13C2412yes—
533C22×C4×C13C2411yescharacteristic
534C22×C4×C13C2412yes—
535C22×C4×C13C2414yes—
536C22×C4×C13C2414yes—
537C22×C4×C13C2412yes—
538C22×C4×C13C2414yes—
539C22×C4×C13C2412yes—
540C22×C4×C13C2411yescharacteristic
541C22×C4×C13C2412yes—
542C22×C4×C13C2412yes—
543C22×C4×C13C2412yes—
544C22×C4×C13C2411yescharacteristic
545C22×C4×C13C2414yes—
546C22×C4×C13C2412yes—
547C22×C4×C13C2418yes—
548C22×C4×C13C2418yes—
549C22×C4×C13C2414yes—
550C22×C4×C13C2418yes—
551C22×C4×C13C2418yes—
552C22×C4×C13C2414yes—
553C22×C4×C13C2412yes—
554C22×C4×C13C2411yescharacteristic
555C22×C4×C13C2414yes—
556C22×C4×C13C2414yes—
557C22×C4×C13C2418yes—
558C13×C4⋊C4C2414yes—
559C13×C4⋊C4C2412yes—
560C13×C4⋊C4C2414yes—
561C13×C4⋊C4C2412yes—
562C13×C4⋊C4C2412yes—
563C13×C4⋊C4C2418yes—
564C13×C4⋊C4C2418yes—
565C13×C4⋊C4C2414yes—
566C13×C4⋊C4C2414yes—
567C13×C4⋊C4C2414yes—
568C13×C4⋊C4C2414yes—
569C13×C4⋊C4C2414yes—
570C13×C4⋊C4C2412yes—
571C13×C4⋊C4C2418yes—
572C13×C4⋊C4C2412yes—
573C13×C4⋊C4C2412yes—
574C13×C4⋊C4C2414yes—
575C13×C4⋊C4C2418yes—
576C13×C4⋊C4C2414yes—
577C13×C4⋊C4C2418yes—
578C13×C4⋊C4C2414yes—
579C13×C4⋊C4C2414yes—
580C13×C22⋊C4C2414yes—
581C13×C22⋊C4C2418yes—
582C13×C22⋊C4C2414yes—
583C13×C22⋊C4C2414yes—
584C13×C22⋊C4C2414yes—
585C13×C22⋊C4C2418yes—
586C13×C22⋊C4C2418yes—
587C13×C22⋊C4C2418yes—
588C13×C22⋊C4C2414yes—
589C13×C22⋊C4C2414yes—
590C13×C22⋊C4C2418yes—
591C13×C22⋊C4C2418yes—
592C13×C22⋊C4C2414yes—
593C13×C22⋊C4C2414yes—
594C13×C22⋊C4C2418yes—
595C13×C22⋊C4C2418yes—
596C13×C22⋊C4C2418yes—
597C13×C22⋊C4C2418yes—
598C13×C22⋊C4C2418yes—
599C13×C22⋊C4C2418yes—
600C13×C22⋊C4C2418yes—
601C13×C22⋊C4C2414yes—
602C13×C22⋊C4C2414yes—
603C13×C22⋊C4C2418yes—
604C13×C22⋊C4C2418yes—
605C13×C22⋊C4C2418yes—
606C13×C22⋊C4C2418yes—
607C13×C22⋊C4C2418yes—
608C13×C22⋊C4C2414yes—
609C13×C22⋊C4C2414yes—
610C13×C22⋊C4C2414yes—
611C13×C22⋊C4C2414yes—
612C42×C13C2414yes—
613C42×C13C2412yes—
614C42×C13C2414yes—
615C42×C13C2412yes—
616C42×C13C2418yes—
617C42×C13C2418yes—
618#3558C2×C1312yescomplemented
619#3543C2×C1314yescomplemented
620#3542C2×C1314yescomplemented
621#3537C2×C1314yescomplemented
622#3537C2×C1312yescomplemented
623#3534C2×C1318yescomplemented
624#3534C2×C1314yescomplemented
625#3532C2×C1318yescomplemented
626#3519C2×C1312yescomplemented
627#3513C2×C1314yescomplemented
628#3505C2×C1312yescomplemented
629#3496C2×C1311yescharacteristic, complemented
630#3490C2×C1312yescomplemented
631#3488C2×C1312yescomplemented
632#3484C2×C1314yescomplemented
633#3484C2×C1314yescomplemented
634C2×#546C2×C1311yescharacteristic, complemented
635C2×D42C2×C1312yescomplemented
636#3459C2×C1311yescharacteristic, complemented
637C2×#534C2×C1312yescomplemented
638C23×C13—24no—
639C23×C13—28no—
640C23×C13—28no—
641C23×C13—24no—
642C23×C13—24no—
643C23×C13—22no—
644C23×C13—216no—
645C23×C13—28no—
646C23×C13—24no—
647C23×C13—28no—
648C23×C13—41no—
649C23×C13—42no—
650C23×C13—42no—
651C23×C13—41no—
652C23×C13—44no—
653C23×C13—42no—
654C23×C13—41no—
655C23×C13—42no—
656C23×C13—44no—
657C23×C13—44no—
658C23×C13—48no—
659C23×C13—48no—
660C23×C13—48no—
661C23×C13—41no—
662C23×C13—42no—
663C23×C13—48no—
664C23×C13—44no—
665C23×C13—44no—
666C23×C13—48no—
667C23×C13—44no—
668C23×C13—44no—
669C23×C13—44no—
670C23×C13—816no—
671C23×C13—832no—
672C23×C13H(5,𝔽2)14yescomplemented
673C23×C13C2514yes—
674C23×C13C2514yes—
675C23×C13C2518yes—
676C23×C13C2512yes—
677C23×C13C2512yes—
678C23×C13C2512yes—
679C23×C13C2512yes—
680C23×C13C2511yescharacteristic
681Q8×C13—24no—
682Q8×C13—42no—
683Q8×C13—42no—
684Q8×C13—44no—
685Q8×C13—42no—
686D4×C13—28no—
687D4×C13—28no—
688D4×C13—28no—
689D4×C13—216no—
690D4×C13—216no—
691D4×C13—216no—
692D4×C13—28no—
693D4×C13—24no—
694D4×C13—28no—
695D4×C13—24no—
696D4×C13—28no—
697D4×C13—22no—
698D4×C13—44no—
699D4×C13—48no—
700D4×C13—44no—
701D4×C13—48no—
702D4×C13—48no—
703D4×C13—48no—
704D4×C13—48no—
705D4×C13—42no—
706D4×C13—42no—
707D4×C13—44no—
708D4×C13—44no—
709D4×C13—48no—
710D4×C13—44no—
711D4×C13—48no—
712D4×C13—44no—
713D4×C13—48no—
714D4×C13—48no—
715D4×C13—42no—
716D4×C13—48no—
717D4×C13—44no—
718D4×C13—44no—
719D4×C13—48no—
720D4×C13H(5,𝔽2)14yescomplemented
721C2×C4×C13—24no—
722C2×C4×C13—28no—
723C2×C4×C13—28no—
724C2×C4×C13—22no—
725C2×C4×C13—24no—
726C2×C4×C13—22no—
727C2×C4×C13—28no—
728C2×C4×C13—24no—
729C2×C4×C13—41no—
730C2×C4×C13—41no—
731C2×C4×C13—48no—
732C2×C4×C13—44no—
733C2×C4×C13—48no—
734C2×C4×C13—42no—
735C2×C4×C13—42no—
736C2×C4×C13—42no—
737C2×C4×C13—42no—
738C2×C4×C13—44no—
739C2×C4×C13—41no—
740C2×C4×C13—42no—
741C2×C4×C13—44no—
742C2×C4×C13—44no—
743C2×C4×C13—44no—
744C2×C4×C13—48no—
745C2×C4×C13—48no—
746C2×C4×C13—42no—
747C2×C4×C13—48no—
748C2×C4×C13C2514yes—
749C2×C4×C13C2512yes—
750C2×C4×C13C2514yes—
751C2×C4×C13C2512yes—
752C2×C4×C13C2511yescharacteristic
753C2×C4×C13C2514yes—
754C2×C4×C13C2514yes—
755C2×C4×C13C2518yes—
756C2×C4×C13C2514yes—
757C2×C4×C13C2512yes—
758C2×C4×C13C2512yes—
759C2×C4×C13C2511yescharacteristic
760C2×H(5,𝔽2)C22×C1312yescomplemented
761C2×H(5,𝔽2)C22×C1312yescomplemented
762C22×#41C22×C1311yescharacteristic, complemented
763C23×D4C22×C1311yescharacteristic, complemented
764C23×D4C22×C1314yescomplemented
765C23×D4C22×C1312yescomplemented
766#562C22×C1318yescomplemented
767#562C22×C1314yescomplemented
768H(3,𝔽4)C22×C1314yescomplemented
769#560C22×C1318yescomplemented
770#560C22×C1318yescomplemented
771#560C22×C1318yescomplemented
772#560C22×C1318yescomplemented
773#559C22×C1314yescomplemented
774#555C22×C1312yescomplemented
775#554C22×C1312yescomplemented
776#553C22×C1318yescomplemented
777#553C22×C1314yescomplemented
778#553C22×C1314yescomplemented
779#553C22×C1318yescomplemented
780#553C22×C1314yescomplemented
781#552C22×C1314yescomplemented
782#551C22×C1318yescomplemented
783#551C22×C1318yescomplemented
784#551C22×C1318yescomplemented
785#551C22×C1318yescomplemented
786#550C22×C1314yescomplemented
787#550C22×C1312yescomplemented
788#548C22×C1314yescomplemented
789#547C22×C1314yescomplemented
790#546C22×C1314yescomplemented
791#546C22×C1314yescomplemented
792#546C22×C1314yescomplemented
793#546C22×C1318yescomplemented
794#546C22×C1318yescomplemented
795#546C22×C1318yescomplemented
796#546C22×C1318yescomplemented
797#546C22×C1318yescomplemented
798#546C22×C1314yescomplemented
799#546C22×C1318yescomplemented
800#546C22×C1318yescomplemented
801#546C22×C1314yescomplemented
802#546C22×C1318yescomplemented
803#546C22×C1318yescomplemented
804#546C22×C1318yescomplemented
805#546C22×C1314yescomplemented
806D42C22×C1314yescomplemented
807D42C22×C1318yescomplemented
808D42C22×C1314yescomplemented
809D42C22×C1314yescomplemented
810D42C22×C1312yescomplemented
811D42C22×C1318yescomplemented
812D42C22×C1318yescomplemented
813D42C22×C1318yescomplemented
814D42C22×C1318yescomplemented
815D42C22×C1314yescomplemented
816D42C22×C1314yescomplemented
817D42C22×C1314yescomplemented
818D42C22×C1318yescomplemented
819D42C22×C1318yescomplemented
820#543C22×C1311yescharacteristic, complemented
821#542C22×C1314yescomplemented
822#540C22×C1314yescomplemented
823#540C22×C1314yescomplemented
824#540C22×C1318yescomplemented
825#540C22×C1318yescomplemented
826#539C22×C1314yescomplemented
827#539C22×C1312yescomplemented
828#539C22×C1314yescomplemented
829#539C22×C1318yescomplemented
830#538C22×C1314yescomplemented
831#538C22×C1318yescomplemented
832#538C22×C1312yescomplemented
833#538C22×C1314yescomplemented
834#538C22×C1314yescomplemented
835#538C22×C1314yescomplemented
836#538C22×C1318yescomplemented
837#538C22×C1318yescomplemented
838#538C22×C1318yescomplemented
839#538C22×C1314yescomplemented
840#537C22×C1314yescomplemented
841#537C22×C1312yescomplemented
842#537C22×C1312yescomplemented
843#535C22×C1318yescomplemented
844#535C22×C1314yescomplemented
845#535C22×C1314yescomplemented
846#535C22×C1314yescomplemented
847#535C22×C1312yescomplemented
848#535C22×C1318yescomplemented
849#534C22×C1311yescharacteristic, complemented
850#534C22×C1314yescomplemented
851#534C22×C1312yescomplemented
852#534C22×C1312yescomplemented
853#534C22×C1318yescomplemented
854#534C22×C1318yescomplemented
855#534C22×C1318yescomplemented
856#534C22×C1318yescomplemented
857#534C22×C1314yescomplemented
858#534C22×C1314yescomplemented
859#534C22×C1318yescomplemented
860#534C22×C1312yescomplemented
861#534C22×C1314yescomplemented
862#532C22×C1312yescomplemented
863C2×#127C22×C1312yescomplemented
864#529C22×C1314yescomplemented
865#529C22×C1312yescomplemented
866#529C22×C1314yescomplemented
867C2×#124C22×C1311yescharacteristic, complemented
868#525C22×C1314yescomplemented
869#525C22×C1318yescomplemented
870#525C22×C1312yescomplemented
871#525C22×C1314yescomplemented
872#525C22×C1314yescomplemented
873#525C22×C1314yescomplemented
874C2×#123C22×C1318yescomplemented
875C2×#123C22×C1312yescomplemented
876C2×C22⋊Q8C22×C1311yescharacteristic, complemented
877C2×#121C22×C1312yescomplemented
878C2×#121C22×C1314yescomplemented
879C2×#121C22×C1312yescomplemented
880C2×#121C22×C1314yescomplemented
881C2×#121C22×C1314yescomplemented
882C2×#121C22×C1311yescharacteristic, complemented
883C2×#121C22×C1312yescomplemented
884C2×#121C22×C1312yescomplemented
885C2×#120C22×C1314yescomplemented
886C2×#120C22×C1312yescomplemented
887C2×#120C22×C1318yescomplemented
888C2×#120C22×C1314yescomplemented
889C2×#120C22×C1318yescomplemented
890#520C22×C1312yescomplemented
891#518C22×C1314yescomplemented
892#518C22×C1314yescomplemented
893C2×C4×D4C22×C1312yescomplemented
894C2×C4×D4C22×C1311yescharacteristic, complemented
895C2×C4×D4C22×C1312yescomplemented
896C2×C4×D4C22×C1311yescharacteristic, complemented
897C22×C22⋊C4C22×C1312yescomplemented
898C22×C13—21no—
899C22×C13—22no—
900C22×C13—22no—
901C22×C13—21no—
902C22×C13—22no—
903C22×C13—22no—
904C22×C13—22no—
905C22×C13—24no—
906C22×C13—22no—
907C22×C13—22no—
908C22×C13—24no—
909C22×C13—28no—
910C22×C13—28no—
911C22×C13—24no—
912C22×C13—24no—
913C22×C13—22no—
914C22×C13—22no—
915C22×C13—28no—
916C22×C13—22no—
917C22×C13—24no—
918C22×C13—24no—
919C22×C13—44no—
920C22×C13—48no—
921C22×C13—416no—
922C22×C13—48no—
923C22×C13—82no—
924C22×C13—88no—
925C22×C13—88no—
926C22×C13—816no—
927C22×C13—84no—
928C22×C13—816no—
929C22×C13—164no—
930C22×C13C2×H(5,𝔽2)14yes—
931C22×C13C2×H(5,𝔽2)14yes—
932C22×C13C2×H(5,𝔽2)12yes—
933C22×C13C2611yescharacteristic
934C4×C13—22no—
935C4×C13—24no—
936C4×C13—22no—
937C4×C13—28no—
938C4×C13—24no—
939C4×C13—22no—
940C4×C13—21no—
941C4×C13—24no—
942C4×C13—24no—
943C4×C13—22no—
944C4×C13—24no—
945C4×C13C2×H(5,𝔽2)12yes—
946C25C23×C1312yes—
947C25C23×C1314yescomplemented
948H(5,𝔽2)—48no—
949H(5,𝔽2)—48no—
950C2×#41—44no—
951C2×#41C23×C1312yes—
952C2×#41C23×C1312yescomplemented
953C2×#41C23×C1318yescomplemented
954C2×#41C23×C1314yescomplemented
955C2×#41C23×C1314yescomplemented
956C2×#41C23×C1314yescomplemented
957C2×#41C23×C1314yescomplemented
958C2×#41C23×C1312yescomplemented
959C2×#41C23×C1314yescomplemented
960C22×Q8C23×C1311yescharacteristic, complemented
961C22×D4—44no—
962C22×D4—48no—
963C22×D4—416no—
964C22×D4C23×C1311yescharacteristic
965C22×D4C23×C1312yes—
966C22×D4C23×C1311yescharacteristic
967C22×D4C23×C1312yes—
968C22×D4C23×C1314yes—
969C22×D4C23×C1314yes—
970C22×D4C23×C1314yes—
971C22×D4C23×C1318yes—
972C22×D4C23×C1312yes—
973C22×D4C23×C1311yescharacteristic
974C22×D4C23×C1312yes—
975C22×D4C23×C1318yes—
976C22×D4C23×C1314yescomplemented
977C22×D4C23×C1314yescomplemented
978C22×D4C23×C1312yescomplemented
979C22×D4C23×C1314yescomplemented
980C22×D4C23×C1318yescomplemented
981C22×D4C23×C1318yescomplemented
982C22×D4C23×C1318yescomplemented
983C22×D4C23×C1314yescomplemented
984C22×D4C23×C1312yescomplemented
985C22×D4C23×C1314yescomplemented
986C22×D4C23×C1312yescomplemented
987C22×D4C23×C1318yescomplemented
988C22×D4C23×C1318yescomplemented
989C22×D4C23×C1314yescomplemented
990C22×D4C23×C1314yescomplemented
991C22×D4C23×C1314yescomplemented
992C22×D4C23×C1312yescomplemented
993C22×D4C23×C1318yescomplemented
994C23×C4C23×C1311yescharacteristic
995C23×C4C23×C1312yescomplemented
996C23×C4C23×C1311yescharacteristic, complemented
997C23×C4C23×C1314yescomplemented
998C23×C4C23×C1312yescomplemented
999C23×C4C23×C1312yescomplemented
1000C4⋊Q8C23×C1312yescomplemented
1001#127C23×C1314yes—
1002#127C23×C1314yescomplemented
1003#127C23×C1318yescomplemented
1004#127C23×C1312yescomplemented
1005#127C23×C1318yescomplemented
1006#127C23×C1318yescomplemented
1007#126C23×C1314yescomplemented
1008#126C23×C1314yescomplemented
1009#126C23×C1318yescomplemented
1010#126C23×C1314yescomplemented
1011#126C23×C1318yescomplemented
1012#126C23×C1318yescomplemented
1013#126C23×C1318yescomplemented
1014#126C23×C1318yescomplemented
1015#125C23×C1314yescomplemented
1016#125C23×C1312yescomplemented
1017#125C23×C1314yescomplemented
1018#125C23×C1318yescomplemented
1019#124C23×C1314yescomplemented
1020#124C23×C1314yescomplemented
1021#124C23×C1314yescomplemented
1022#124C23×C1314yescomplemented
1023#124C23×C1312yescomplemented
1024#124C23×C1314yescomplemented
1025#124C23×C1318yescomplemented
1026#124C23×C1318yescomplemented
1027#124C23×C1318yescomplemented
1028#124C23×C1318yescomplemented
1029#124C23×C1318yescomplemented
1030#123C23×C1314yes—
1031#123C23×C1318yes—
1032#123C23×C1318yescomplemented
1033#123C23×C1318yescomplemented
1034#123C23×C1318yescomplemented
1035#123C23×C1318yescomplemented
1036#123C23×C1318yescomplemented
1037#123C23×C1318yescomplemented
1038#123C23×C1318yescomplemented
1039#123C23×C1318yescomplemented
1040#123C23×C1314yescomplemented
1041#123C23×C1314yescomplemented
1042#123C23×C1314yescomplemented
1043#123C23×C1318yescomplemented
1044#123C23×C1318yescomplemented
1045#123C23×C1314yescomplemented
1046#123C23×C1318yescomplemented
1047#123C23×C1314yescomplemented
1048#123C23×C1318yescomplemented
1049#123C23×C1318yescomplemented
1050#123C23×C1318yescomplemented
1051#123C23×C1318yescomplemented
1052#123C23×C1318yescomplemented
1053#123C23×C1318yescomplemented
1054#123C23×C1318yescomplemented
1055C22⋊Q8C23×C1314yescomplemented
1056C22⋊Q8C23×C1314yescomplemented
1057C22⋊Q8C23×C1312yescomplemented
1058C22⋊Q8C23×C1312yescomplemented
1059C22⋊Q8C23×C1312yescomplemented
1060C22⋊Q8C23×C1314yescomplemented
1061C22⋊Q8C23×C1314yescomplemented
1062C22⋊Q8C23×C1314yescomplemented
1063C22⋊Q8C23×C1318yescomplemented
1064C22⋊Q8C23×C1314yescomplemented
1065C22⋊Q8C23×C1318yescomplemented
1066C22⋊Q8C23×C1314yescomplemented
1067C22⋊Q8C23×C1314yescomplemented
1068C22⋊Q8C23×C1318yescomplemented
1069C22⋊Q8C23×C1318yescomplemented
1070#121C23×C1312yes—
1071#121C23×C1312yes—
1072#121C23×C1314yes—
1073#121C23×C1318yes—
1074#121C23×C1314yes—
1075#121C23×C1314yes—
1076#121C23×C1314yes—
1077#121C23×C1314yes—
1078#121C23×C1314yescomplemented
1079#121C23×C1314yescomplemented
1080#121C23×C1314yescomplemented
1081#121C23×C1314yescomplemented
1082#121C23×C1314yescomplemented
1083#121C23×C1318yescomplemented
1084#121C23×C1318yescomplemented
1085#121C23×C1318yescomplemented
1086#121C23×C1318yescomplemented
1087#121C23×C1314yescomplemented
1088#121C23×C1314yescomplemented
1089#121C23×C1314yescomplemented
1090#121C23×C1318yescomplemented
1091#121C23×C1314yescomplemented
1092#121C23×C1314yescomplemented
1093#121C23×C1314yescomplemented
1094#121C23×C1314yescomplemented
1095#121C23×C1318yescomplemented
1096#121C23×C1318yescomplemented
1097#121C23×C1314yescomplemented
1098#121C23×C1318yescomplemented
1099#121C23×C1318yescomplemented
1100#121C23×C1318yescomplemented
1101#121C23×C1312yescomplemented
1102#121C23×C1314yescomplemented
1103#121C23×C1318yescomplemented
1104#121C23×C1314yescomplemented
1105#121C23×C1314yescomplemented
1106#121C23×C1314yescomplemented
1107#121C23×C1318yescomplemented
1108#121C23×C1318yescomplemented
1109#121C23×C1318yescomplemented
1110#121C23×C1318yescomplemented
1111#121C23×C1318yescomplemented
1112#121C23×C1318yescomplemented
1113#121C23×C1318yescomplemented
1114#121C23×C1318yescomplemented
1115#121C23×C1318yescomplemented
1116#121C23×C1318yescomplemented
1117#121C23×C1318yescomplemented
1118#121C23×C1318yescomplemented
1119#121C23×C1318yescomplemented
1120#120C23×C1314yes—
1121#120C23×C1318yes—
1122#120C23×C1318yes—
1123#120C23×C1318yes—
1124#120C23×C1318yes—
1125#120C23×C1318yescomplemented
1126#120C23×C1314yescomplemented
1127#120C23×C1318yescomplemented
1128#120C23×C1318yescomplemented
1129#120C23×C1318yescomplemented
1130#120C23×C1318yescomplemented
1131#120C23×C1318yescomplemented
1132#120C23×C1318yescomplemented
1133#120C23×C1318yescomplemented
1134#120C23×C1318yescomplemented
1135#120C23×C1318yescomplemented
1136#120C23×C1318yescomplemented
1137#120C23×C1318yescomplemented
1138#120C23×C1318yescomplemented
1139#120C23×C1318yescomplemented
1140#120C23×C1318yescomplemented
1141#120C23×C1318yescomplemented
1142#120C23×C1318yescomplemented
1143#120C23×C1314yescomplemented
1144#120C23×C1318yescomplemented
1145#120C23×C1318yescomplemented
1146#120C23×C1318yescomplemented
1147C4×Q8C23×C1314yescomplemented
1148C4×Q8C23×C1312yescomplemented
1149C4×D4C23×C1312yes—
1150C4×D4C23×C1314yes—
1151C4×D4C23×C1314yes—
1152C4×D4C23×C1314yes—
1153C4×D4C23×C1314yescomplemented
1154C4×D4C23×C1314yescomplemented
1155C4×D4C23×C1314yescomplemented
1156C4×D4C23×C1318yescomplemented
1157C4×D4C23×C1314yescomplemented
1158C4×D4C23×C1314yescomplemented
1159C4×D4C23×C1312yescomplemented
1160C4×D4C23×C1314yescomplemented
1161C4×D4C23×C1318yescomplemented
1162C4×D4C23×C1318yescomplemented
1163C4×D4C23×C1318yescomplemented
1164C4×D4C23×C1318yescomplemented
1165C4×D4C23×C1318yescomplemented
1166C4×D4C23×C1318yescomplemented
1167C4×D4C23×C1314yescomplemented
1168C4×D4C23×C1314yescomplemented
1169C4×D4C23×C1318yescomplemented
1170C4×D4C23×C1312yescomplemented
1171C4×D4C23×C1314yescomplemented
1172C4×D4C23×C1318yescomplemented
1173C4×D4C23×C1318yescomplemented
1174C4×D4C23×C1318yescomplemented
1175C4×D4C23×C1318yescomplemented
1176C4×D4C23×C1314yescomplemented
1177#117C23×C1314yescomplemented
1178#117C23×C1318yescomplemented
1179#117C23×C1314yescomplemented
1180#117C23×C1312yescomplemented
1181#117C23×C1314yescomplemented
1182#117C23×C1314yescomplemented
1183#117C23×C1318yescomplemented
1184C2×C4⋊C4C23×C1312yescomplemented
1185C2×C4⋊C4C23×C1312yescomplemented
1186C2×C4⋊C4C23×C1311yescharacteristic, complemented
1187C2×C4⋊C4C23×C1311yescharacteristic, complemented
1188C2×C4⋊C4C23×C1314yescomplemented
1189C2×C4⋊C4C23×C1312yescomplemented
1190C2×C4⋊C4C23×C1312yescomplemented
1191C2×C4⋊C4C23×C1314yescomplemented
1192C2×C22⋊C4C23×C1311yescharacteristic
1193C2×C22⋊C4C23×C1312yes—
1194C2×C22⋊C4C23×C1312yes—
1195C2×C22⋊C4C23×C1318yescomplemented
1196C2×C22⋊C4C23×C1312yescomplemented
1197C2×C22⋊C4C23×C1312yescomplemented
1198C2×C22⋊C4C23×C1318yescomplemented
1199C2×C22⋊C4C23×C1312yescomplemented
1200C2×C22⋊C4C23×C1314yescomplemented
1201C2×C22⋊C4C23×C1312yescomplemented
1202C2×C22⋊C4C23×C1311yescharacteristic, complemented
1203C2×C22⋊C4C23×C1318yescomplemented
1204C2×C22⋊C4C23×C1318yescomplemented
1205C2×C22⋊C4C23×C1318yescomplemented
1206C2×C22⋊C4C23×C1314yescomplemented
1207C2×C22⋊C4C23×C1314yescomplemented
1208C2×C22⋊C4C23×C1318yescomplemented
1209C2×C22⋊C4C23×C1312yescomplemented
1210C2×C22⋊C4C23×C1318yescomplemented
1211C2×C22⋊C4C23×C1314yescomplemented
1212C2×C42C23×C1311yescharacteristic, complemented
1213C2×C42C23×C1312yescomplemented
1214C2×C13—24no—
1215C2×C13—24no—
1216C2×C13—22no—
1217C2×C13—42no—
1218C2×C13—44no—
1219C2×C13—44no—
1220C2×C13—48no—
1221C2×C13—42no—
1222C2×C13C22×H(5,𝔽2)11yescharacteristic
1223C2×C13C22×H(5,𝔽2)11yescharacteristic
1224C2×C13H(7,𝔽2)11yescharacteristic
1225C24—28no—
1226C24—44no—
1227C24—48no—
1228C24—48no—
1229C24—82no—
1230C24—84no—
1231C24C24×C1314yes—
1232C24C24×C1312yes—
1233C24C24×C1314yes—
1234C24C24×C1314yes—
1235C24C24×C1318yes—
1236C24C24×C1312yes—
1237C24C24×C1312yes—
1238C24C24×C1311yescharacteristic
1239C24C24×C1318yes—
1240C24C24×C1314yes—
1241C24C24×C1311yescharacteristic
1242#41—28no—
1243#41—44no—
1244#41—48no—
1245#41—416no—
1246#41—48no—
1247#41—48no—
1248#41—44no—
1249#41—48no—
1250#41—84no—
1251C2×Q8—42no—
1252C2×Q8C24×C1312yes—
1253C2×Q8C24×C1312yes—
1254C2×Q8C24×C1312yes—
1255C2×Q8C24×C1312yes—
1256C2×Q8C24×C1314yes—
1257C2×D4—28no—
1258C2×D4—216no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—216no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—48no—
1267C2×D4—44no—
1268C2×D4—48no—
1269C2×D4—48no—
1270C2×D4—48no—
1271C2×D4—44no—
1272C2×D4—416no—
1273C2×D4—416no—
1274C2×D4—48no—
1275C2×D4—416no—
1276C2×D4—416no—
1277C2×D4—416no—
1278C2×D4—48no—
1279C2×D4—44no—
1280C2×D4—48no—
1281C2×D4—416no—
1282C2×D4—416no—
1283C2×D4—82no—
1284C2×D4—84no—
1285C2×D4—84no—
1286C2×D4—88no—
1287C2×D4C24×C1314yes—
1288C2×D4C24×C1318yes—
1289C2×D4C24×C1314yes—
1290C2×D4C24×C1318yes—
1291C2×D4C24×C1314yes—
1292C2×D4C24×C1312yes—
1293C2×D4C24×C1314yes—
1294C2×D4C24×C1318yes—
1295C2×D4C24×C1314yes—
1296C2×D4C24×C1312yes—
1297C2×D4C24×C1314yes—
1298C2×D4C24×C1311yescharacteristic
1299C2×D4C24×C1312yes—
1300C2×D4C24×C1318yes—
1301C2×D4C24×C1318yes—
1302C2×D4C24×C1318yes—
1303C2×D4C24×C1314yes—
1304C2×D4C24×C1314yes—
1305C2×D4C24×C1318yes—
1306C2×D4C24×C1312yes—
1307C2×D4C24×C1318yes—
1308C2×D4C24×C1318yes—
1309C2×D4C24×C1318yes—
1310C2×D4C24×C1314yes—
1311C2×D4C24×C1314yes—
1312C2×D4C24×C1312yes—
1313C2×D4C24×C1314yes—
1314C2×D4C24×C1314yes—
1315C2×D4C24×C1318yes—
1316C2×D4C24×C1318yes—
1317C2×D4C24×C1314yes—
1318C2×D4C24×C1318yes—
1319C2×D4C24×C1314yes—
1320C2×D4C24×C1318yes—
1321C2×D4C24×C1311yescharacteristic
1322C22×C4—42no—
1323C22×C4—44no—
1324C22×C4—42no—
1325C22×C4—48no—
1326C22×C4—44no—
1327C22×C4—82no—
1328C22×C4C24×C1311yescharacteristic
1329C22×C4C24×C1312yes—
1330C22×C4C24×C1311yescharacteristic
1331C22×C4C24×C1312yes—
1332C22×C4C24×C1314yes—
1333C22×C4C24×C1314yes—
1334C22×C4C24×C1312yes—
1335C22×C4C24×C1314yes—
1336C22×C4C24×C1312yes—
1337C22×C4C24×C1311yescharacteristic
1338C22×C4C24×C1312yes—
1339C22×C4C24×C1312yes—
1340C22×C4C24×C1312yes—
1341C22×C4C24×C1311yescharacteristic
1342C22×C4C24×C1314yes—
1343C22×C4C24×C1312yes—
1344C22×C4C24×C1318yes—
1345C22×C4C24×C1318yes—
1346C22×C4C24×C1314yes—
1347C22×C4C24×C1318yes—
1348C22×C4C24×C1318yes—
1349C22×C4C24×C1314yes—
1350C22×C4C24×C1312yes—
1351C22×C4C24×C1311yescharacteristic
1352C22×C4C24×C1314yes—
1353C22×C4C24×C1314yes—
1354C22×C4C24×C1318yes—
1355C4⋊C4C24×C1314yes—
1356C4⋊C4C24×C1312yes—
1357C4⋊C4C24×C1314yes—
1358C4⋊C4C24×C1312yes—
1359C4⋊C4C24×C1312yes—
1360C4⋊C4C24×C1318yes—
1361C4⋊C4C24×C1318yes—
1362C4⋊C4C24×C1314yes—
1363C4⋊C4C24×C1314yes—
1364C4⋊C4C24×C1314yes—
1365C4⋊C4C24×C1314yes—
1366C4⋊C4C24×C1314yes—
1367C4⋊C4C24×C1312yes—
1368C4⋊C4C24×C1318yes—
1369C4⋊C4C24×C1312yes—
1370C4⋊C4C24×C1312yes—
1371C4⋊C4C24×C1314yes—
1372C4⋊C4C24×C1318yes—
1373C4⋊C4C24×C1314yes—
1374C4⋊C4C24×C1318yes—
1375C4⋊C4C24×C1314yes—
1376C4⋊C4C24×C1314yes—
1377C22⋊C4C24×C1314yes—
1378C22⋊C4C24×C1318yes—
1379C22⋊C4C24×C1314yes—
1380C22⋊C4C24×C1314yes—
1381C22⋊C4C24×C1314yes—
1382C22⋊C4C24×C1318yes—
1383C22⋊C4C24×C1318yes—
1384C22⋊C4C24×C1318yes—
1385C22⋊C4C24×C1314yes—
1386C22⋊C4C24×C1314yes—
1387C22⋊C4C24×C1318yes—
1388C22⋊C4C24×C1318yes—
1389C22⋊C4C24×C1314yes—
1390C22⋊C4C24×C1314yes—
1391C22⋊C4C24×C1318yes—
1392C22⋊C4C24×C1318yes—
1393C22⋊C4C24×C1318yes—
1394C22⋊C4C24×C1318yes—
1395C22⋊C4C24×C1318yes—
1396C22⋊C4C24×C1318yes—
1397C22⋊C4C24×C1318yes—
1398C22⋊C4C24×C1314yes—
1399C22⋊C4C24×C1314yes—
1400C22⋊C4C24×C1318yes—
1401C22⋊C4C24×C1318yes—
1402C22⋊C4C24×C1318yes—
1403C22⋊C4C24×C1318yes—
1404C22⋊C4C24×C1318yes—
1405C22⋊C4C24×C1314yes—
1406C22⋊C4C24×C1314yes—
1407C22⋊C4C24×C1314yes—
1408C22⋊C4C24×C1314yes—
1409C42C24×C1314yes—
1410C42C24×C1312yes—
1411C42C24×C1314yes—
1412C42C24×C1312yes—
1413C42C24×C1318yes—
1414C42C24×C1318yes—
1415C13#6289211yescharacteristic, direct product factor, Sylow
1416C23—24no—
1417C23—28no—
1418C23—28no—
1419C23—24no—
1420C23—24no—
1421C23—22no—
1422C23—216no—
1423C23—28no—
1424C23—24no—
1425C23—28no—
1426C23—41no—
1427C23—42no—
1428C23—42no—
1429C23—41no—
1430C23—44no—
1431C23—42no—
1432C23—41no—
1433C23—42no—
1434C23—44no—
1435C23—44no—
1436C23—48no—
1437C23—48no—
1438C23—48no—
1439C23—41no—
1440C23—42no—
1441C23—48no—
1442C23—44no—
1443C23—44no—
1444C23—48no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—816no—
1449C23—832no—
1450C23C13×H(5,𝔽2)14yescomplemented
1451C23C25×C1314yes—
1452C23C25×C1314yes—
1453C23C25×C1318yes—
1454C23C25×C1312yes—
1455C23C25×C1312yes—
1456C23C25×C1312yes—
1457C23C25×C1312yes—
1458C23C25×C1311yescharacteristic
1459Q8—24no—
1460Q8—42no—
1461Q8—42no—
1462Q8—44no—
1463Q8—42no—
1464D4—28no—
1465D4—28no—
1466D4—28no—
1467D4—216no—
1468D4—216no—
1469D4—216no—
1470D4—28no—
1471D4—24no—
1472D4—28no—
1473D4—24no—
1474D4—28no—
1475D4—22no—
1476D4—44no—
1477D4—48no—
1478D4—44no—
1479D4—48no—
1480D4—48no—
1481D4—48no—
1482D4—48no—
1483D4—42no—
1484D4—42no—
1485D4—44no—
1486D4—44no—
1487D4—48no—
1488D4—44no—
1489D4—48no—
1490D4—44no—
1491D4—48no—
1492D4—48no—
1493D4—42no—
1494D4—48no—
1495D4—44no—
1496D4—44no—
1497D4—48no—
1498D4C13×H(5,𝔽2)14yescomplemented
1499C2×C4—24no—
1500C2×C4—28no—
1501C2×C4—28no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—28no—
1506C2×C4—24no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—48no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—42no—
1513C2×C4—42no—
1514C2×C4—42no—
1515C2×C4—42no—
1516C2×C4—44no—
1517C2×C4—41no—
1518C2×C4—42no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—42no—
1525C2×C4—48no—
1526C2×C4C25×C1314yes—
1527C2×C4C25×C1312yes—
1528C2×C4C25×C1314yes—
1529C2×C4C25×C1312yes—
1530C2×C4C25×C1311yescharacteristic
1531C2×C4C25×C1314yes—
1532C2×C4C25×C1314yes—
1533C2×C4C25×C1318yes—
1534C2×C4C25×C1314yes—
1535C2×C4C25×C1312yes—
1536C2×C4C25×C1312yes—
1537C2×C4C25×C1311yescharacteristic
1538C22—21no—
1539C22—22no—
1540C22—22no—
1541C22—21no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—24no—
1546C22—22no—
1547C22—22no—
1548C22—24no—
1549C22—28no—
1550C22—28no—
1551C22—24no—
1552C22—24no—
1553C22—22no—
1554C22—22no—
1555C22—28no—
1556C22—22no—
1557C22—24no—
1558C22—24no—
1559C22—44no—
1560C22—48no—
1561C22—416no—
1562C22—48no—
1563C22—82no—
1564C22—88no—
1565C22—88no—
1566C22—816no—
1567C22—84no—
1568C22—816no—
1569C22—164no—
1570C22C2×C13×H(5,𝔽2)14yes—
1571C22C2×C13×H(5,𝔽2)14yes—
1572C22C2×C13×H(5,𝔽2)12yes—
1573C22C26×C1311yescharacteristic
1574C4—22no—
1575C4—24no—
1576C4—22no—
1577C4—28no—
1578C4—24no—
1579C4—22no—
1580C4—21no—
1581C4—24no—
1582C4—24no—
1583C4—22no—
1584C4—24no—
1585C4C2×C13×H(5,𝔽2)12yes—
1586C2—24no—
1587C2—24no—
1588C2—22no—
1589C2—44no—
1590C2—44no—
1591C2—42no—
1592C2—48no—
1593C2—42no—
1594C2C22×C13×H(5,𝔽2)11yescharacteristic
1595C2C22×C13×H(5,𝔽2)11yescharacteristic
1596C2C13×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C13C26
commutator, Frattini, cosocleC22C26×C13
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#3558C2semidirect
2. C13×#3543C2semidirect
3. C13×#3542C2semidirect
4. C13×#3537C2semidirect
5. C13×#3537C2semidirect
6. C13×#3534C2semidirect
7. C13×#3534C2semidirect
8. C13×#3532C2semidirect
9. C13×#3519C2semidirect
10. C13×#3513C2semidirect
11. C13×#3505C2semidirect
12. C13×#3496C2semidirect
13. C13×#3490C2semidirect
14. C13×#3488C2semidirect
15. C13×#3484C2semidirect
16. C13×#3484C2semidirect
17. C2×C13×#546C2semidirect
18. C2×D42×C13C2semidirect
19. C13×#3459C2semidirect
20. C2×C13×#534C2semidirect
21. C2×C13×H(5,𝔽2)C22semidirect
22. C2×C13×H(5,𝔽2)C22semidirect
23. C22×C13×#41C22semidirect
24. C23×D4×C13C22semidirect
25. C23×D4×C13C22semidirect
26. C23×D4×C13C22semidirect
27. C13×#562C22semidirect
28. C13×#562C22semidirect
29. C13×H(3,𝔽4)C22semidirect
30. C13×#560C22semidirect
31. C13×#560C22semidirect
32. C13×#560C22semidirect
33. C13×#560C22semidirect
34. C13×#559C22semidirect
35. C13×#555C22semidirect
36. C13×#554C22semidirect
37. C13×#553C22semidirect
38. C13×#553C22semidirect
39. C13×#553C22semidirect
40. C13×#553C22semidirect
41. C13×#553C22semidirect
42. C13×#552C22semidirect
43. C13×#551C22semidirect
44. C13×#551C22semidirect
45. C13×#551C22semidirect
46. C13×#551C22semidirect
47. C13×#550C22semidirect
48. C13×#550C22semidirect
49. C13×#548C22semidirect
50. C13×#547C22semidirect
51. C13×#546C22semidirect
52. C13×#546C22semidirect
53. C13×#546C22semidirect
54. C13×#546C22semidirect
55. C13×#546C22semidirect
56. C13×#546C22semidirect
57. C13×#546C22semidirect
58. C13×#546C22semidirect
59. C13×#546C22semidirect
60. C13×#546C22semidirect
61. C13×#546C22semidirect
62. C13×#546C22semidirect
63. C13×#546C22semidirect
64. C13×#546C22semidirect
65. C13×#546C22semidirect
66. C13×#546C22semidirect
67. D42×C13C22semidirect
68. D42×C13C22semidirect
69. D42×C13C22semidirect
70. D42×C13C22semidirect
71. D42×C13C22semidirect
72. D42×C13C22semidirect
73. D42×C13C22semidirect
74. D42×C13C22semidirect
75. D42×C13C22semidirect
76. D42×C13C22semidirect
77. D42×C13C22semidirect
78. D42×C13C22semidirect
79. D42×C13C22semidirect
80. D42×C13C22semidirect
81. C13×#543C22semidirect
82. C13×#542C22semidirect
83. C13×#540C22semidirect
84. C13×#540C22semidirect
85. C13×#540C22semidirect
86. C13×#540C22semidirect
87. C13×#539C22semidirect
88. C13×#539C22semidirect
89. C13×#539C22semidirect
90. C13×#539C22semidirect
91. C13×#538C22semidirect
92. C13×#538C22semidirect
93. C13×#538C22semidirect
94. C13×#538C22semidirect
95. C13×#538C22semidirect
96. C13×#538C22semidirect
97. C13×#538C22semidirect
98. C13×#538C22semidirect
99. C13×#538C22semidirect
100. C13×#538C22semidirect
101. C13×#537C22semidirect
102. C13×#537C22semidirect
103. C13×#537C22semidirect
104. C13×#535C22semidirect
105. C13×#535C22semidirect
106. C13×#535C22semidirect
107. C13×#535C22semidirect
108. C13×#535C22semidirect
109. C13×#535C22semidirect
110. C13×#534C22semidirect
111. C13×#534C22semidirect
112. C13×#534C22semidirect
113. C13×#534C22semidirect
114. C13×#534C22semidirect
115. C13×#534C22semidirect
116. C13×#534C22semidirect
117. C13×#534C22semidirect
118. C13×#534C22semidirect
119. C13×#534C22semidirect
120. C13×#534C22semidirect
121. C13×#534C22semidirect
122. C13×#534C22semidirect
123. C13×#532C22semidirect
124. C2×C13×#127C22semidirect
125. C13×#529C22semidirect
126. C13×#529C22semidirect
127. C13×#529C22semidirect
128. C2×C13×#124C22semidirect
129. C13×#525C22semidirect
130. C13×#525C22semidirect
131. C13×#525C22semidirect
132. C13×#525C22semidirect
133. C13×#525C22semidirect
134. C13×#525C22semidirect
135. C2×C13×#123C22semidirect
136. C2×C13×#123C22semidirect
137. C2×C13×C22⋊Q8C22semidirect
138. C2×C13×#121C22semidirect
139. C2×C13×#121C22semidirect
140. C2×C13×#121C22semidirect
141. C2×C13×#121C22semidirect
142. C2×C13×#121C22semidirect
143. C2×C13×#121C22semidirect
144. C2×C13×#121C22semidirect
145. C2×C13×#121C22semidirect
146. C2×C13×#120C22semidirect
147. C2×C13×#120C22semidirect
148. C2×C13×#120C22semidirect
149. C2×C13×#120C22semidirect
150. C2×C13×#120C22semidirect
151. C13×#520C22semidirect
152. C13×#518C22semidirect
153. C13×#518C22semidirect
154. C2×C4×D4×C13C22semidirect
155. C2×C4×D4×C13C22semidirect
156. C2×C4×D4×C13C22semidirect
157. C2×C4×D4×C13C22semidirect
158. C22×C13×C22⋊C4C22semidirect
160. C25×C13C23semidirect
165. C2×C13×#41C23semidirect
166. C2×C13×#41C23semidirect
167. C2×C13×#41C23semidirect
168. C2×C13×#41C23semidirect
169. C2×C13×#41C23semidirect
170. C2×C13×#41C23semidirect
171. C2×C13×#41C23semidirect
172. C2×C13×#41C23semidirect
173. C22×Q8×C13C23semidirect
189. C22×D4×C13C23semidirect
190. C22×D4×C13C23semidirect
191. C22×D4×C13C23semidirect
192. C22×D4×C13C23semidirect
193. C22×D4×C13C23semidirect
194. C22×D4×C13C23semidirect
195. C22×D4×C13C23semidirect
196. C22×D4×C13C23semidirect
197. C22×D4×C13C23semidirect
198. C22×D4×C13C23semidirect
199. C22×D4×C13C23semidirect
200. C22×D4×C13C23semidirect
201. C22×D4×C13C23semidirect
202. C22×D4×C13C23semidirect
203. C22×D4×C13C23semidirect
204. C22×D4×C13C23semidirect
205. C22×D4×C13C23semidirect
206. C22×D4×C13C23semidirect
208. C23×C4×C13C23semidirect
209. C23×C4×C13C23semidirect
210. C23×C4×C13C23semidirect
211. C23×C4×C13C23semidirect
212. C23×C4×C13C23semidirect
213. C13×C4⋊Q8C23semidirect
215. C13×#127C23semidirect
216. C13×#127C23semidirect
217. C13×#127C23semidirect
218. C13×#127C23semidirect
219. C13×#127C23semidirect
220. C13×#126C23semidirect
221. C13×#126C23semidirect
222. C13×#126C23semidirect
223. C13×#126C23semidirect
224. C13×#126C23semidirect
225. C13×#126C23semidirect
226. C13×#126C23semidirect
227. C13×#126C23semidirect
228. C13×#125C23semidirect
229. C13×#125C23semidirect
230. C13×#125C23semidirect
231. C13×#125C23semidirect
232. C13×#124C23semidirect
233. C13×#124C23semidirect
234. C13×#124C23semidirect
235. C13×#124C23semidirect
236. C13×#124C23semidirect
237. C13×#124C23semidirect
238. C13×#124C23semidirect
239. C13×#124C23semidirect
240. C13×#124C23semidirect
241. C13×#124C23semidirect
242. C13×#124C23semidirect
245. C13×#123C23semidirect
246. C13×#123C23semidirect
247. C13×#123C23semidirect
248. C13×#123C23semidirect
249. C13×#123C23semidirect
250. C13×#123C23semidirect
251. C13×#123C23semidirect
252. C13×#123C23semidirect
253. C13×#123C23semidirect
254. C13×#123C23semidirect
255. C13×#123C23semidirect
256. C13×#123C23semidirect
257. C13×#123C23semidirect
258. C13×#123C23semidirect
259. C13×#123C23semidirect
260. C13×#123C23semidirect
261. C13×#123C23semidirect
262. C13×#123C23semidirect
263. C13×#123C23semidirect
264. C13×#123C23semidirect
265. C13×#123C23semidirect
266. C13×#123C23semidirect
267. C13×#123C23semidirect
268. C13×C22⋊Q8C23semidirect
269. C13×C22⋊Q8C23semidirect
270. C13×C22⋊Q8C23semidirect
271. C13×C22⋊Q8C23semidirect
272. C13×C22⋊Q8C23semidirect
273. C13×C22⋊Q8C23semidirect
274. C13×C22⋊Q8C23semidirect
275. C13×C22⋊Q8C23semidirect
276. C13×C22⋊Q8C23semidirect
277. C13×C22⋊Q8C23semidirect
278. C13×C22⋊Q8C23semidirect
279. C13×C22⋊Q8C23semidirect
280. C13×C22⋊Q8C23semidirect
281. C13×C22⋊Q8C23semidirect
282. C13×C22⋊Q8C23semidirect
291. C13×#121C23semidirect
292. C13×#121C23semidirect
293. C13×#121C23semidirect
294. C13×#121C23semidirect
295. C13×#121C23semidirect
296. C13×#121C23semidirect
297. C13×#121C23semidirect
298. C13×#121C23semidirect
299. C13×#121C23semidirect
300. C13×#121C23semidirect
301. C13×#121C23semidirect
302. C13×#121C23semidirect
303. C13×#121C23semidirect
304. C13×#121C23semidirect
305. C13×#121C23semidirect
306. C13×#121C23semidirect
307. C13×#121C23semidirect
308. C13×#121C23semidirect
309. C13×#121C23semidirect
310. C13×#121C23semidirect
311. C13×#121C23semidirect
312. C13×#121C23semidirect
313. C13×#121C23semidirect
314. C13×#121C23semidirect
315. C13×#121C23semidirect
316. C13×#121C23semidirect
317. C13×#121C23semidirect
318. C13×#121C23semidirect
319. C13×#121C23semidirect
320. C13×#121C23semidirect
321. C13×#121C23semidirect
322. C13×#121C23semidirect
323. C13×#121C23semidirect
324. C13×#121C23semidirect
325. C13×#121C23semidirect
326. C13×#121C23semidirect
327. C13×#121C23semidirect
328. C13×#121C23semidirect
329. C13×#121C23semidirect
330. C13×#121C23semidirect
331. C13×#121C23semidirect
332. C13×#121C23semidirect
338. C13×#120C23semidirect
339. C13×#120C23semidirect
340. C13×#120C23semidirect
341. C13×#120C23semidirect
342. C13×#120C23semidirect
343. C13×#120C23semidirect
344. C13×#120C23semidirect
345. C13×#120C23semidirect
346. C13×#120C23semidirect
347. C13×#120C23semidirect
348. C13×#120C23semidirect
349. C13×#120C23semidirect
350. C13×#120C23semidirect
351. C13×#120C23semidirect
352. C13×#120C23semidirect
353. C13×#120C23semidirect
354. C13×#120C23semidirect
355. C13×#120C23semidirect
356. C13×#120C23semidirect
357. C13×#120C23semidirect
358. C13×#120C23semidirect
359. C13×#120C23semidirect
360. C4×Q8×C13C23semidirect
361. C4×Q8×C13C23semidirect
366. C4×D4×C13C23semidirect
367. C4×D4×C13C23semidirect
368. C4×D4×C13C23semidirect
369. C4×D4×C13C23semidirect
370. C4×D4×C13C23semidirect
371. C4×D4×C13C23semidirect
372. C4×D4×C13C23semidirect
373. C4×D4×C13C23semidirect
374. C4×D4×C13C23semidirect
375. C4×D4×C13C23semidirect
376. C4×D4×C13C23semidirect
377. C4×D4×C13C23semidirect
378. C4×D4×C13C23semidirect
379. C4×D4×C13C23semidirect
380. C4×D4×C13C23semidirect
381. C4×D4×C13C23semidirect
382. C4×D4×C13C23semidirect
383. C4×D4×C13C23semidirect
384. C4×D4×C13C23semidirect
385. C4×D4×C13C23semidirect
386. C4×D4×C13C23semidirect
387. C4×D4×C13C23semidirect
388. C4×D4×C13C23semidirect
389. C4×D4×C13C23semidirect
390. C13×#117C23semidirect
391. C13×#117C23semidirect
392. C13×#117C23semidirect
393. C13×#117C23semidirect
394. C13×#117C23semidirect
395. C13×#117C23semidirect
396. C13×#117C23semidirect
397. C2×C13×C4⋊C4C23semidirect
398. C2×C13×C4⋊C4C23semidirect
399. C2×C13×C4⋊C4C23semidirect
400. C2×C13×C4⋊C4C23semidirect
401. C2×C13×C4⋊C4C23semidirect
402. C2×C13×C4⋊C4C23semidirect
403. C2×C13×C4⋊C4C23semidirect
404. C2×C13×C4⋊C4C23semidirect
408. C2×C13×C22⋊C4C23semidirect
409. C2×C13×C22⋊C4C23semidirect
410. C2×C13×C22⋊C4C23semidirect
411. C2×C13×C22⋊C4C23semidirect
412. C2×C13×C22⋊C4C23semidirect
413. C2×C13×C22⋊C4C23semidirect
414. C2×C13×C22⋊C4C23semidirect
415. C2×C13×C22⋊C4C23semidirect
416. C2×C13×C22⋊C4C23semidirect
417. C2×C13×C22⋊C4C23semidirect
418. C2×C13×C22⋊C4C23semidirect
419. C2×C13×C22⋊C4C23semidirect
420. C2×C13×C22⋊C4C23semidirect
421. C2×C13×C22⋊C4C23semidirect
422. C2×C13×C22⋊C4C23semidirect
423. C2×C13×C22⋊C4C23semidirect
424. C2×C13×C22⋊C4C23semidirect
425. C2×C42×C13C23semidirect
426. C2×C42×C13C23semidirect
427. #62892C13direct (N × H)
618. #3558C2×C13semidirect
619. #3543C2×C13semidirect
620. #3542C2×C13semidirect
621. #3537C2×C13semidirect
622. #3537C2×C13semidirect
623. #3534C2×C13semidirect
624. #3534C2×C13semidirect
625. #3532C2×C13semidirect
626. #3519C2×C13semidirect
627. #3513C2×C13semidirect
628. #3505C2×C13semidirect
629. #3496C2×C13semidirect
630. #3490C2×C13semidirect
631. #3488C2×C13semidirect
632. #3484C2×C13semidirect
633. #3484C2×C13semidirect
634. C2×#546C2×C13semidirect
635. C2×D42C2×C13semidirect
636. #3459C2×C13semidirect
637. C2×#534C2×C13semidirect
672. C23×C13H(5,𝔽2)semidirect
720. D4×C13H(5,𝔽2)semidirect
760. C2×H(5,𝔽2)C22×C13semidirect
761. C2×H(5,𝔽2)C22×C13semidirect
762. C22×#41C22×C13semidirect
763. C23×D4C22×C13semidirect
764. C23×D4C22×C13semidirect
765. C23×D4C22×C13semidirect
766. #562C22×C13semidirect
767. #562C22×C13semidirect
768. H(3,𝔽4)C22×C13semidirect
769. #560C22×C13semidirect
770. #560C22×C13semidirect
771. #560C22×C13semidirect
772. #560C22×C13semidirect
773. #559C22×C13semidirect
774. #555C22×C13semidirect
775. #554C22×C13semidirect
776. #553C22×C13semidirect
777. #553C22×C13semidirect
778. #553C22×C13semidirect
779. #553C22×C13semidirect
780. #553C22×C13semidirect
781. #552C22×C13semidirect
782. #551C22×C13semidirect
783. #551C22×C13semidirect
784. #551C22×C13semidirect
785. #551C22×C13semidirect
786. #550C22×C13semidirect
787. #550C22×C13semidirect
788. #548C22×C13semidirect
789. #547C22×C13semidirect
790. #546C22×C13semidirect
791. #546C22×C13semidirect
792. #546C22×C13semidirect
793. #546C22×C13semidirect
794. #546C22×C13semidirect
795. #546C22×C13semidirect
796. #546C22×C13semidirect
797. #546C22×C13semidirect
798. #546C22×C13semidirect
799. #546C22×C13semidirect
800. #546C22×C13semidirect
801. #546C22×C13semidirect
802. #546C22×C13semidirect
803. #546C22×C13semidirect
804. #546C22×C13semidirect
805. #546C22×C13semidirect
806. D42C22×C13semidirect
807. D42C22×C13semidirect
808. D42C22×C13semidirect
809. D42C22×C13semidirect
810. D42C22×C13semidirect
811. D42C22×C13semidirect
812. D42C22×C13semidirect
813. D42C22×C13semidirect
814. D42C22×C13semidirect
815. D42C22×C13semidirect
816. D42C22×C13semidirect
817. D42C22×C13semidirect
818. D42C22×C13semidirect
819. D42C22×C13semidirect
820. #543C22×C13semidirect
821. #542C22×C13semidirect
822. #540C22×C13semidirect
823. #540C22×C13semidirect
824. #540C22×C13semidirect
825. #540C22×C13semidirect
826. #539C22×C13semidirect
827. #539C22×C13semidirect
828. #539C22×C13semidirect
829. #539C22×C13semidirect
830. #538C22×C13semidirect
831. #538C22×C13semidirect
832. #538C22×C13semidirect
833. #538C22×C13semidirect
834. #538C22×C13semidirect
835. #538C22×C13semidirect
836. #538C22×C13semidirect
837. #538C22×C13semidirect
838. #538C22×C13semidirect
839. #538C22×C13semidirect
840. #537C22×C13semidirect
841. #537C22×C13semidirect
842. #537C22×C13semidirect
843. #535C22×C13semidirect
844. #535C22×C13semidirect
845. #535C22×C13semidirect
846. #535C22×C13semidirect
847. #535C22×C13semidirect
848. #535C22×C13semidirect
849. #534C22×C13semidirect
850. #534C22×C13semidirect
851. #534C22×C13semidirect
852. #534C22×C13semidirect
853. #534C22×C13semidirect
854. #534C22×C13semidirect
855. #534C22×C13semidirect
856. #534C22×C13semidirect
857. #534C22×C13semidirect
858. #534C22×C13semidirect
859. #534C22×C13semidirect
860. #534C22×C13semidirect
861. #534C22×C13semidirect
862. #532C22×C13semidirect
863. C2×#127C22×C13semidirect
864. #529C22×C13semidirect
865. #529C22×C13semidirect
866. #529C22×C13semidirect
867. C2×#124C22×C13semidirect
868. #525C22×C13semidirect
869. #525C22×C13semidirect
870. #525C22×C13semidirect
871. #525C22×C13semidirect
872. #525C22×C13semidirect
873. #525C22×C13semidirect
874. C2×#123C22×C13semidirect
875. C2×#123C22×C13semidirect
876. C2×C22⋊Q8C22×C13semidirect
877. C2×#121C22×C13semidirect
878. C2×#121C22×C13semidirect
879. C2×#121C22×C13semidirect
880. C2×#121C22×C13semidirect
881. C2×#121C22×C13semidirect
882. C2×#121C22×C13semidirect
883. C2×#121C22×C13semidirect
884. C2×#121C22×C13semidirect
885. C2×#120C22×C13semidirect
886. C2×#120C22×C13semidirect
887. C2×#120C22×C13semidirect
888. C2×#120C22×C13semidirect
889. C2×#120C22×C13semidirect
890. #520C22×C13semidirect
891. #518C22×C13semidirect
892. #518C22×C13semidirect
893. C2×C4×D4C22×C13semidirect
894. C2×C4×D4C22×C13semidirect
895. C2×C4×D4C22×C13semidirect
896. C2×C4×D4C22×C13semidirect
897. C22×C22⋊C4C22×C13semidirect
947. C25C23×C13semidirect
952. C2×#41C23×C13semidirect
953. C2×#41C23×C13semidirect
954. C2×#41C23×C13semidirect
955. C2×#41C23×C13semidirect
956. C2×#41C23×C13semidirect
957. C2×#41C23×C13semidirect
958. C2×#41C23×C13semidirect
959. C2×#41C23×C13semidirect
960. C22×Q8C23×C13semidirect
976. C22×D4C23×C13semidirect
977. C22×D4C23×C13semidirect
978. C22×D4C23×C13semidirect
979. C22×D4C23×C13semidirect
980. C22×D4C23×C13semidirect
981. C22×D4C23×C13semidirect
982. C22×D4C23×C13semidirect
983. C22×D4C23×C13semidirect
984. C22×D4C23×C13semidirect
985. C22×D4C23×C13semidirect
986. C22×D4C23×C13semidirect
987. C22×D4C23×C13semidirect
988. C22×D4C23×C13semidirect
989. C22×D4C23×C13semidirect
990. C22×D4C23×C13semidirect
991. C22×D4C23×C13semidirect
992. C22×D4C23×C13semidirect
993. C22×D4C23×C13semidirect
995. C23×C4C23×C13semidirect
996. C23×C4C23×C13semidirect
997. C23×C4C23×C13semidirect
998. C23×C4C23×C13semidirect
999. C23×C4C23×C13semidirect
1000. C4⋊Q8C23×C13semidirect
1002. #127C23×C13semidirect
1003. #127C23×C13semidirect
1004. #127C23×C13semidirect
1005. #127C23×C13semidirect
1006. #127C23×C13semidirect
1007. #126C23×C13semidirect
1008. #126C23×C13semidirect
1009. #126C23×C13semidirect
1010. #126C23×C13semidirect
1011. #126C23×C13semidirect
1012. #126C23×C13semidirect
1013. #126C23×C13semidirect
1014. #126C23×C13semidirect
1015. #125C23×C13semidirect
1016. #125C23×C13semidirect
1017. #125C23×C13semidirect
1018. #125C23×C13semidirect
1019. #124C23×C13semidirect
1020. #124C23×C13semidirect
1021. #124C23×C13semidirect
1022. #124C23×C13semidirect
1023. #124C23×C13semidirect
1024. #124C23×C13semidirect
1025. #124C23×C13semidirect
1026. #124C23×C13semidirect
1027. #124C23×C13semidirect
1028. #124C23×C13semidirect
1029. #124C23×C13semidirect
1032. #123C23×C13semidirect
1033. #123C23×C13semidirect
1034. #123C23×C13semidirect
1035. #123C23×C13semidirect
1036. #123C23×C13semidirect
1037. #123C23×C13semidirect
1038. #123C23×C13semidirect
1039. #123C23×C13semidirect
1040. #123C23×C13semidirect
1041. #123C23×C13semidirect
1042. #123C23×C13semidirect
1043. #123C23×C13semidirect
1044. #123C23×C13semidirect
1045. #123C23×C13semidirect
1046. #123C23×C13semidirect
1047. #123C23×C13semidirect
1048. #123C23×C13semidirect
1049. #123C23×C13semidirect
1050. #123C23×C13semidirect
1051. #123C23×C13semidirect
1052. #123C23×C13semidirect
1053. #123C23×C13semidirect
1054. #123C23×C13semidirect
1055. C22⋊Q8C23×C13semidirect
1056. C22⋊Q8C23×C13semidirect
1057. C22⋊Q8C23×C13semidirect
1058. C22⋊Q8C23×C13semidirect
1059. C22⋊Q8C23×C13semidirect
1060. C22⋊Q8C23×C13semidirect
1061. C22⋊Q8C23×C13semidirect
1062. C22⋊Q8C23×C13semidirect
1063. C22⋊Q8C23×C13semidirect
1064. C22⋊Q8C23×C13semidirect
1065. C22⋊Q8C23×C13semidirect
1066. C22⋊Q8C23×C13semidirect
1067. C22⋊Q8C23×C13semidirect
1068. C22⋊Q8C23×C13semidirect
1069. C22⋊Q8C23×C13semidirect
1078. #121C23×C13semidirect
1079. #121C23×C13semidirect
1080. #121C23×C13semidirect
1081. #121C23×C13semidirect
1082. #121C23×C13semidirect
1083. #121C23×C13semidirect
1084. #121C23×C13semidirect
1085. #121C23×C13semidirect
1086. #121C23×C13semidirect
1087. #121C23×C13semidirect
1088. #121C23×C13semidirect
1089. #121C23×C13semidirect
1090. #121C23×C13semidirect
1091. #121C23×C13semidirect
1092. #121C23×C13semidirect
1093. #121C23×C13semidirect
1094. #121C23×C13semidirect
1095. #121C23×C13semidirect
1096. #121C23×C13semidirect
1097. #121C23×C13semidirect
1098. #121C23×C13semidirect
1099. #121C23×C13semidirect
1100. #121C23×C13semidirect
1101. #121C23×C13semidirect
1102. #121C23×C13semidirect
1103. #121C23×C13semidirect
1104. #121C23×C13semidirect
1105. #121C23×C13semidirect
1106. #121C23×C13semidirect
1107. #121C23×C13semidirect
1108. #121C23×C13semidirect
1109. #121C23×C13semidirect
1110. #121C23×C13semidirect
1111. #121C23×C13semidirect
1112. #121C23×C13semidirect
1113. #121C23×C13semidirect
1114. #121C23×C13semidirect
1115. #121C23×C13semidirect
1116. #121C23×C13semidirect
1117. #121C23×C13semidirect
1118. #121C23×C13semidirect
1119. #121C23×C13semidirect
1125. #120C23×C13semidirect
1126. #120C23×C13semidirect
1127. #120C23×C13semidirect
1128. #120C23×C13semidirect
1129. #120C23×C13semidirect
1130. #120C23×C13semidirect
1131. #120C23×C13semidirect
1132. #120C23×C13semidirect
1133. #120C23×C13semidirect
1134. #120C23×C13semidirect
1135. #120C23×C13semidirect
1136. #120C23×C13semidirect
1137. #120C23×C13semidirect
1138. #120C23×C13semidirect
1139. #120C23×C13semidirect
1140. #120C23×C13semidirect
1141. #120C23×C13semidirect
1142. #120C23×C13semidirect
1143. #120C23×C13semidirect
1144. #120C23×C13semidirect
1145. #120C23×C13semidirect
1146. #120C23×C13semidirect
1147. C4×Q8C23×C13semidirect
1148. C4×Q8C23×C13semidirect
1153. C4×D4C23×C13semidirect
1154. C4×D4C23×C13semidirect
1155. C4×D4C23×C13semidirect
1156. C4×D4C23×C13semidirect
1157. C4×D4C23×C13semidirect
1158. C4×D4C23×C13semidirect
1159. C4×D4C23×C13semidirect
1160. C4×D4C23×C13semidirect
1161. C4×D4C23×C13semidirect
1162. C4×D4C23×C13semidirect
1163. C4×D4C23×C13semidirect
1164. C4×D4C23×C13semidirect
1165. C4×D4C23×C13semidirect
1166. C4×D4C23×C13semidirect
1167. C4×D4C23×C13semidirect
1168. C4×D4C23×C13semidirect
1169. C4×D4C23×C13semidirect
1170. C4×D4C23×C13semidirect
1171. C4×D4C23×C13semidirect
1172. C4×D4C23×C13semidirect
1173. C4×D4C23×C13semidirect
1174. C4×D4C23×C13semidirect
1175. C4×D4C23×C13semidirect
1176. C4×D4C23×C13semidirect
1177. #117C23×C13semidirect
1178. #117C23×C13semidirect
1179. #117C23×C13semidirect
1180. #117C23×C13semidirect
1181. #117C23×C13semidirect
1182. #117C23×C13semidirect
1183. #117C23×C13semidirect
1184. C2×C4⋊C4C23×C13semidirect
1185. C2×C4⋊C4C23×C13semidirect
1186. C2×C4⋊C4C23×C13semidirect
1187. C2×C4⋊C4C23×C13semidirect
1188. C2×C4⋊C4C23×C13semidirect
1189. C2×C4⋊C4C23×C13semidirect
1190. C2×C4⋊C4C23×C13semidirect
1191. C2×C4⋊C4C23×C13semidirect
1195. C2×C22⋊C4C23×C13semidirect
1196. C2×C22⋊C4C23×C13semidirect
1197. C2×C22⋊C4C23×C13semidirect
1198. C2×C22⋊C4C23×C13semidirect
1199. C2×C22⋊C4C23×C13semidirect
1200. C2×C22⋊C4C23×C13semidirect
1201. C2×C22⋊C4C23×C13semidirect
1202. C2×C22⋊C4C23×C13semidirect
1203. C2×C22⋊C4C23×C13semidirect
1204. C2×C22⋊C4C23×C13semidirect
1205. C2×C22⋊C4C23×C13semidirect
1206. C2×C22⋊C4C23×C13semidirect
1207. C2×C22⋊C4C23×C13semidirect
1208. C2×C22⋊C4C23×C13semidirect
1209. C2×C22⋊C4C23×C13semidirect
1210. C2×C22⋊C4C23×C13semidirect
1211. C2×C22⋊C4C23×C13semidirect
1212. C2×C42C23×C13semidirect
1213. C2×C42C23×C13semidirect
1415. C13#62892direct (N × H)
1450. C23C13×H(5,𝔽2)semidirect
1498. D4C13×H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
C13×#35582
C13×#35432
C13×#35422
C13×#35372
C13×#35342
C13×#35322
C13×#35192
C13×#35132
C13×#35052
C13×#34962
C13×#34902
C13×#34882
C13×#34842
C2×C13×#5462
C2×D42×C132
C13×#34592
C2×C13×#5342
#6289213