Finite Group Databasebeta

← C2×#72232042 #72324489

Subgroups — C2×#72232042 #72324489

Order 2048.

At least 6240 conjugacy classes of subgroups; only the 42216 normal subgroups are shown.

The subgroup lattice has 1802 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#670318C212yesmaximal, complemented
2C2×#636791C212yesmaximal, complemented
3C2×#520477C211yesmaximal, characteristic, complemented
4C2×#636795C211yesmaximal, characteristic, complemented
5C2×#688977C214yesmaximal, complemented
6C2×#607958C211yesmaximal, characteristic, complemented
7C2×#4306532C212yesmaximal, complemented
8C2×#779702C214yesmaximal, complemented
9C2×#777325C212yesmaximal, complemented
10C2×#656415C212yesmaximal, complemented
11C2×#613956C211yesmaximal, characteristic, complemented
12C2×#759733C211yesmaximal, characteristic, complemented
13C2×#647717C214yesmaximal, complemented
14C2×#779705C212yesmaximal, complemented
15C2×D4×#386C212yesmaximal, complemented
16C2×#760156C212yesmaximal, complemented
17C23×#3519C211yesmaximal, characteristic, complemented
18C2×#688968C218yesmaximal, complemented
19C23×D4×C22⋊C4C211yesmaximal, characteristic, complemented
20C22×#14716C212yesmaximal, complemented
21C2×#612425C212yesmaximal, complemented
22C2×#777314C214yesmaximal, complemented
23C2×#647657C214yesmaximal, complemented
24C2×#518019C214yesmaximal, complemented
25#72232042C2164yesmaximal, direct product factor
26C2×D4×#392C212yesmaximal, complemented
27C22×D4×#120C212yesmaximal, complemented
28C26×D4C2211yescharacteristic
29C22×#3519C22132yescomplemented
30C23×#555C2211yescharacteristic, complemented
31C23×#553C2212yescomplemented
32C23×#553C2212yescomplemented
33C23×#554C2211yescharacteristic, complemented
34C23×#550C2211yescharacteristic, complemented
35C23×#546C2214yescomplemented
36C23×#546C2212yescomplemented
37C23×D42C2214yes—
38C23×D42C2212yes—
39C23×D42C2211yescharacteristic, complemented
40C23×#540C2212yescomplemented
41C23×#538C2214yescomplemented
42C23×#532C2211yescharacteristic, complemented
43C23×#529C2211yescharacteristic, complemented
44C23×#525C2212yescomplemented
45C24×#121C2212yescomplemented
46C24×#120C2214yescomplemented
47C23×#518C2212yescomplemented
48C24×C4×D4C2211yescharacteristic
49C24×C4×D4C2211yescharacteristic
50C25×C22⋊C4C2212yescomplemented
51C22×#2847C2212yescomplemented
52C22×#2846C2214yescomplemented
53C2×D4×#120C22164yescomplemented
54C22×#2404C2212yescomplemented
55C22×#2404C2214yescomplemented
56C22×#2404C2214yescomplemented
57C22×#2433C2214yescomplemented
58C22×#2433C2212yescomplemented
59C22×#2408C2214yescomplemented
60C22×#2408C2212yescomplemented
61C22×#2410C2218yescomplemented
62C22×#2410C2214yescomplemented
63C22×#2403C2214yescomplemented
64C22×#2403C2218yescomplemented
65C23×#392C2214yescomplemented
66C22×D4×C22⋊C4C2212yes—
67C22×D4×C22⋊C4C2212yes—
68C22×D4×C22⋊C4C2214yes—
69C22×D4×C22⋊C4C2212yes—
70C22×D4×C22⋊C4C22132yescomplemented
71C22×D4×C22⋊C4C2212yescomplemented
72C22×D4×C22⋊C4C2214yescomplemented
73C22×D4×C22⋊C4C2212yescomplemented
74C22×D4×C22⋊C4C2214yescomplemented
75C22×D4×C22⋊C4C2214yescomplemented
76C22×C4×#120C2212yescomplemented
77C23×#390C2211yescharacteristic, complemented
78C23×#390C2211yescharacteristic, complemented
79C23×#386C2212yescomplemented
80C23×#386C2212yescomplemented
81C23×#386C2214yescomplemented
82C23×#380C2211yescharacteristic, complemented
83C23×#379C2212yescomplemented
84C23×C4×C22⋊C4C2211yescharacteristic, complemented
85#4306532C22164yescomplemented
86D4×#392C22164yescomplemented
87#779705C22164yescomplemented
88#779702C221128yescomplemented
89#777325C22164yescomplemented
90#777314C221128yescomplemented
91#760156C22164yescomplemented
92#759733C22132yescomplemented
93#688977C221128yescomplemented
94#688968C221256yescomplemented
95#670318C22164yescomplemented
96#656415C22164yescomplemented
97#647717C221128yescomplemented
98#647657C221128yescomplemented
99#636795C22132yescomplemented
100#636791C22164yescomplemented
101#613956C22132yescomplemented
102#612425C22164yescomplemented
103C2×#16655C2214yescomplemented
104C2×#16654C2218yescomplemented
105C2×#16633C2212yescomplemented
106C2×#16509C2212yescomplemented
107C2×#16509C2214yescomplemented
108C2×#16258C2214yescomplemented
109C2×#16258C2214yescomplemented
110C2×#16258C2218yescomplemented
111C2×#16004C2218yescomplemented
112C2×#15948C2218yescomplemented
113C2×#15909C2218yescomplemented
114C2×#15412C2218yescomplemented
115C2×#15368C2218yescomplemented
116C2×#15314C2218yescomplemented
117C2×#15273C2218yescomplemented
118C2×#15273C2218yescomplemented
119C2×#15270C2218yescomplemented
120C2×#15259C2218yescomplemented
121C2×#15257C2218yescomplemented
122C2×#15257C2218yescomplemented
123C2×#15229C2214yescomplemented
124C2×#15216C2214yescomplemented
125C2×#15157C2212yescomplemented
126C2×#15144C2212yescomplemented
127C2×#15142C2212yescomplemented
128C2×#15125C2212yescomplemented
129C2×#15124C2212yescomplemented
130C2×#15124C2214yescomplemented
131C2×#15123C2214yescomplemented
132C2×#15123C2212yescomplemented
133C2×#15091C2214yescomplemented
134#607958C22132yescomplemented
135C2×#14917C2214yescomplemented
136C2×#14916C2212yescomplemented
137C2×#14915C2212yescomplemented
138C2×#14915C2214yescomplemented
139C2×#14914C2211yescharacteristic, complemented
140C2×#14913C2214yescomplemented
141C2×#14913C2211yescharacteristic, complemented
142C2×#14913C2212yescomplemented
143C2×#14912C2212yescomplemented
144C2×#14911C2212yescomplemented
145C2×#14911C2218yescomplemented
146C2×#14911C2214yescomplemented
147C2×#14888C2214yescomplemented
148C2×#14885C2214yescomplemented
149C2×#14811C2214yescomplemented
150C2×#14759C2214yescomplemented
151C2×#14759C2218yescomplemented
152C2×#14757C2214yescomplemented
153C2×#14717C2211yescharacteristic, complemented
154C2×#14717C2214yescomplemented
155C2×#14717C2218yescomplemented
156C2×#14717C2212yescomplemented
157C2×#14716C2211yescharacteristic
158C2×#14716C2214yescomplemented
159C2×#14716C2212yescomplemented
160C2×#14716C2214yescomplemented
161C2×#14716C2214yescomplemented
162C2×#14716C2218yescomplemented
163C2×#14716C2214yescomplemented
164C2×#14716C22164yescomplemented
165C2×#14716C2212yescomplemented
166C2×#14716C2214yescomplemented
167C2×#14716C2212yescomplemented
168C2×#14716C2212yescomplemented
169C2×#14716C2214yescomplemented
170C2×#14716C2218yescomplemented
171C2×#14715C2218yescomplemented
172C2×#14715C2214yescomplemented
173C2×#14698C2212yescomplemented
174C2×#14694C2214yescomplemented
175C2×#14685C2211yescharacteristic, complemented
176C2×#14681C2212yescomplemented
177#520477C22132yescomplemented
178D4×#386C22164yescomplemented
179#518019C221128yescomplemented
180C2×#14257C2214yescomplemented
181C2×#14255C2218yescomplemented
182C2×#14175C2214yescomplemented
183C2×#14137C2212yescomplemented
184C2×#14136C2214yescomplemented
185C2×#14134C2214yescomplemented
186C2×#14134C2218yescomplemented
187C2×#14025C2214yescomplemented
188C2×#14025C2214yescomplemented
189C2×#14025C2214yescomplemented
190C2×#14023C2218yescomplemented
191C2×#14023C2218yescomplemented
192C2×#14023C2218yescomplemented
193C2×#14016C2214yescomplemented
194C2×#13970C2214yescomplemented
195C2×#13970C2214yescomplemented
196C2×#13970C2214yescomplemented
197C2×#13967C2214yescomplemented
198C2×#13967C2218yescomplemented
199C2×#13967C2218yescomplemented
200C2×#13967C2214yescomplemented
201C2×#13967C2214yescomplemented
202C2×#13967C2218yescomplemented
203C2×#13956C2212yescomplemented
204C2×#13924C2212yescomplemented
205C2×#13916C2212yescomplemented
206C2×#13916C2212yescomplemented
207C2×#13894C2214yescomplemented
208C2×#13894C2214yescomplemented
209C2×#13872C2212yescomplemented
210C2×#13871C2214yescomplemented
211C2×#13869C2214yescomplemented
212C2×#13868C2214yescomplemented
213C2×#13867C2218yescomplemented
214C2×#13867C2214yescomplemented
215C2×C4×#393C2212yescomplemented
216C2×C4×#392C2212yescomplemented
217C2×#13839C2214yescomplemented
218C22×#1439C2214yescomplemented
219C22×#1438C2218yescomplemented
220C2×D4×#95C2212yescomplemented
221C2×D4×#95C2214yescomplemented
222C2×D4×#95C2212yescomplemented
223C2×C4×#381C2211yescharacteristic, complemented
224C2×C4×#386C2212yescomplemented
225C22×C22⋊#95C2212yescomplemented
226C28C2312yes—
227C24×#41C2312yes—
228C24×#41C2312yescomplemented
229C25×D4C2312yes—
230C25×D4C2312yes—
231C25×D4C2312yes—
232C25×D4C2311yescharacteristic
233C25×D4C2314yes—
234C25×D4C2312yes—
235C25×D4C23116yes—
236C25×D4C2311yescharacteristic
237C25×D4C2318yes—
238C25×D4C2314yes—
239C25×D4C2312yescomplemented
240C26×C4C2311yescharacteristic
241C26×C4C2312yes—
242C26×C4C2312yes—
243C22×#555C23116yescomplemented
244C22×#553C23132yescomplemented
245C22×#553C23132yescomplemented
246C22×#554C23116yescomplemented
247C22×#550C23116yescomplemented
248C22×#546C23164yescomplemented
249C22×#546C23132yescomplemented
250C22×D42D4164yescomplemented
251C22×D42C23164yes—
252C22×D42C23132yes—
253C22×D42C23116yescomplemented
254C22×#540C23132yescomplemented
255C22×#538C23164yescomplemented
256C22×#532C23116yescomplemented
257C23×C4⋊Q8C2311yescharacteristic, complemented
258C23×#127C2314yes—
259C23×#127C2312yes—
260C23×#127C2311yescharacteristic, complemented
261C22×#529C23116yescomplemented
262C23×#126C2312yescomplemented
263C23×#126C2314yescomplemented
264C23×#125C2312yescomplemented
265C23×#125C2311yescharacteristic, complemented
266C23×#124C2314yescomplemented
267C23×#124C2311yescharacteristic, complemented
268C23×#124C2312yescomplemented
269C22×#525C23132yescomplemented
270C23×#123C2312yes—
271C23×#123C2314yescomplemented
272C23×#123C2314yescomplemented
273C23×#123C2314yescomplemented
274C23×C22⋊Q8C2311yescharacteristic
275C23×C22⋊Q8C2312yescomplemented
276C23×C22⋊Q8C2314yescomplemented
277C23×#121C2311yescharacteristic
278C23×#121C2312yes—
279C23×#121C2314yes—
280C23×#121C2314yes—
281C23×#121C2318yes—
282C23×#121C2314yes—
283C23×#121C2312yes—
284C23×#121C2314yes—
285C23×#121C2312yes—
286C23×#121C2314yescomplemented
287C23×#121C2314yescomplemented
288C23×#121C2314yescomplemented
289C23×#121C2312yescomplemented
290C23×#121C2312yescomplemented
291C23×#121C2312yescomplemented
292C23×#121C2312yescomplemented
293C23×#121C23132yescomplemented
294C23×#120C2312yes—
295C23×#120C2318yes—
296C23×#120C2314yes—
297C23×#120C2314yes—
298C23×#120C2318yes—
299C23×#120C2314yes—
300C23×#120C2314yes—
301C23×#120C2318yes—
302C23×#120C2318yes—
303C23×#120C2314yes—
304C23×#120C2314yes—
305C23×#120C2318yes—
306C23×#120C2314yescomplemented
307C23×#120C23164yescomplemented
308C22×#518C23132yescomplemented
309C23×C4×Q8C2311yescharacteristic, complemented
310C23×C4×D4D4132yescomplemented
311C23×C4×D4C2314yes—
312C23×C4×D4C2312yes—
313C23×C4×D4C2314yes—
314C23×C4×D4C2314yes—
315C23×C4×D4C2311yescharacteristic
316C23×C4×D4C2311yescharacteristic
317C23×C4×D4C2312yes—
318C23×C4×D4C2312yes—
319C23×C4×D4C23116yes—
320C23×C4×D4C2312yes—
321C23×C4×D4C2312yes—
322C23×C4×D4C2311yescharacteristic
323C23×C4×D4C2311yescharacteristic
324C23×C4×D4C2314yes—
325C23×C4×D4C2312yes—
326C23×C4×D4C23116yes—
327C23×C4×D4C2312yescomplemented
328C23×C4×D4C2314yescomplemented
329C23×C4×D4C2314yescomplemented
330C23×C4×D4C2312yescomplemented
331C23×C4×D4C2312yescomplemented
332C23×C4×D4C2311yescharacteristic, complemented
333C23×#117C2312yescomplemented
334C23×#117C2312yescomplemented
335C23×#117C2312yescomplemented
336C24×C4⋊C4C2311yescharacteristic
337C24×C4⋊C4C2311yescharacteristic
338C24×C4⋊C4C2312yescomplemented
339C24×C22⋊C4C2311yescharacteristic
340C24×C22⋊C4C2314yes—
341C24×C22⋊C4C2311yescharacteristic
342C24×C22⋊C4C2314yes—
343C24×C22⋊C4C2314yes—
344C24×C22⋊C4C2312yes—
345C24×C22⋊C4C2312yes—
346C24×C22⋊C4C2312yes—
347C24×C22⋊C4C2312yes—
348C24×C22⋊C4C2312yes—
349C24×C22⋊C4C2312yes—
350C24×C22⋊C4C2314yes—
351C24×C22⋊C4C2314yes—
352C24×C22⋊C4C2318yes—
353C24×C22⋊C4C2312yes—
354C24×C22⋊C4C2314yescomplemented
355C24×C22⋊C4C2314yescomplemented
356C24×C22⋊C4C23132yescomplemented
357C24×C22⋊C4C2318yescomplemented
358C24×C42C2311yescharacteristic
359C24×C42C2311yescharacteristic
360C2×#2847C23132yescomplemented
361C2×#2846C23164yescomplemented
362C2×#2404C23132yescomplemented
363C2×#2404C23164yescomplemented
364C2×#2404C23164yescomplemented
365C2×#2433C23164yescomplemented
366C2×#2433C23132yescomplemented
367C2×#2408C23164yescomplemented
368C2×#2408C23132yescomplemented
369C2×#2410C23164yescomplemented
370C2×#2410C231128yescomplemented
371C2×#2403C23164yescomplemented
372C2×#2403C231128yescomplemented
373C22×#394C2318yes—
374C22×#394C2314yes—
375C22×#393C2312yes—
376C22×#393C2314yes—
377C22×#393C2318yescomplemented
378C22×#393C2314yescomplemented
379C22×#392C2318yes—
380C22×#392C2318yes—
381C22×#392C2318yes—
382C22×#392C2318yes—
383C22×#392C2314yes—
384C22×#392C2314yes—
385C22×#392C2312yes—
386C22×#392C2314yes—
387C22×#392C2318yes—
388C22×#392C2314yescomplemented
389C22×#392C2314yescomplemented
390C22×#392C2318yescomplemented
391C22×#392C2318yescomplemented
392C22×#392C2314yescomplemented
393C22×#392C2318yescomplemented
394C22×#392C23164yescomplemented
395C2×D4×C22⋊C4C23132yes—
396C2×D4×C22⋊C4C23132yes—
397C2×D4×C22⋊C4C23164yes—
398C2×D4×C22⋊C4C23132yes—
399C2×D4×C22⋊C4C23164yescomplemented
400C2×D4×C22⋊C4C23132yescomplemented
401C2×D4×C22⋊C4C23164yescomplemented
402C2×D4×C22⋊C4C23132yescomplemented
403C2×D4×C22⋊C4C23164yescomplemented
404C2×C4×#120C23132yescomplemented
405C22×#390C2312yes—
406C22×#390C2312yes—
407C22×#390C2314yes—
408C22×#390C2312yes—
409C22×#390C2312yes—
410C22×#390C2312yes—
411C22×#390C2314yes—
412C22×#390C2312yes—
413C22×#390C2314yes—
414C22×#390C2314yes—
415C22×#390C23116yescomplemented
416C22×#390C23116yescomplemented
417C22×#390C2314yescomplemented
418C22×#390C2314yescomplemented
419C22×#386C2314yes—
420C22×#386C2314yes—
421C22×#386C2318yes—
422C22×#386C2314yes—
423C22×#386C2312yes—
424C22×#386C2314yes—
425C22×#386C2314yes—
426C22×#386C2314yes—
427C22×#386C2314yes—
428C22×#386C2314yes—
429C22×#386C2314yes—
430C22×#386C2314yes—
431C22×#386C2318yes—
432C22×#386C2318yes—
433C22×#386C2314yes—
434C22×#386C2312yes—
435C22×#386C2318yes—
436C22×#386C2314yes—
437C22×#386C2314yes—
438C22×#386C2318yes—
439C22×#386C2318yes—
440C22×#386C2314yes—
441C22×#386C2314yes—
442C22×#386C2312yes—
443C22×#386C23132yescomplemented
444C22×#386C23132yescomplemented
445C22×#386C2318yescomplemented
446C22×#386C2318yescomplemented
447C22×#386C2318yescomplemented
448C22×#386C2318yescomplemented
449C22×#386C2318yescomplemented
450C22×#386C2318yescomplemented
451C22×#386C2318yescomplemented
452C22×#386C2318yescomplemented
453C22×#386C2318yescomplemented
454C22×#386C23164yescomplemented
455C22×#385C2312yes—
456C22×#385C2314yes—
457C22×#381C2312yes—
458C22×#381C2312yes—
459C22×#381C2314yescomplemented
460C22×#381C2314yescomplemented
461C22×#380C2312yes—
462C22×#380C2314yes—
463C22×#380C2312yes—
464C22×#380C2312yes—
465C22×#380C2314yes—
466C22×#380C23116yescomplemented
467C22×#380C2314yescomplemented
468C22×#379C2314yes—
469C22×#379C2314yes—
470C22×#379C2314yes—
471C22×#379C2314yes—
472C22×#379C2314yes—
473C22×#379C2318yes—
474C22×#379C2312yes—
475C22×#379C2318yes—
476C22×#379C2314yes—
477C22×#379C23132yescomplemented
478C22×#379C2318yescomplemented
479C22×C4×C22⋊C4C2312yes—
480C22×C4×C22⋊C4C2314yes—
481C22×C4×C22⋊C4C2312yes—
482C22×C4×C22⋊C4C2312yes—
483C22×C4×C22⋊C4C2312yes—
484C22×C4×C22⋊C4C2312yes—
485C22×C4×C22⋊C4C23116yescomplemented
486C22×C4×C22⋊C4C2314yescomplemented
487C23×#95C2312yes—
488C23×#95C2311yescharacteristic
489C23×#95C2311yescharacteristic
490C23×#95C2318yescomplemented
491C23×#95C2314yescomplemented
492C23×#95C2314yescomplemented
493#16655C23164yescomplemented
494#16654C231128yescomplemented
495#16633C23132yescomplemented
496#16509C23164yescomplemented
497#16509C23132yescomplemented
498#16258C231128yescomplemented
499#16258C23164yescomplemented
500#16258C23164yescomplemented
501#16004C231128yescomplemented
502#15948C231128yescomplemented
503#15909C231128yescomplemented
504#15412C231128yescomplemented
505#15368C231128yescomplemented
506#15314C231128yescomplemented
507#15273C231128yescomplemented
508#15273C231128yescomplemented
509#15270C231128yescomplemented
510#15259C231128yescomplemented
511#15257C231128yescomplemented
512#15257C231128yescomplemented
513#15229C23164yescomplemented
514#15216C23164yescomplemented
515#15157C23132yescomplemented
516#15144C23132yescomplemented
517#15142C23132yescomplemented
518#15125C23132yescomplemented
519#15124C23132yescomplemented
520#15124C23164yescomplemented
521#15123C23164yescomplemented
522#15123C23132yescomplemented
523#15091C23164yescomplemented
524#14917C23164yescomplemented
525#14916C23132yescomplemented
526#14915C23164yescomplemented
527#14915C23132yescomplemented
528#14914C23116yescomplemented
529#14913C23164yescomplemented
530#14913C23132yescomplemented
531#14913C23116yescomplemented
532#14912C23132yescomplemented
533#14911C23132yescomplemented
534#14911C23164yescomplemented
535#14911C231128yescomplemented
536#14888C23164yescomplemented
537#14885C23164yescomplemented
538#14811C23164yescomplemented
539#14759C231128yescomplemented
540#14759C23164yescomplemented
541#14757C23164yescomplemented
542#14717C23116yescomplemented
543#14717C231128yescomplemented
544#14717C23164yescomplemented
545#14717C23132yescomplemented
546#14716C23116yes—
547#14716C23164yescomplemented
548#14716C23132yescomplemented
549#14716C231128yescomplemented
550#14716C23164yescomplemented
551#14716C23164yescomplemented
552#14716C23164yescomplemented
553#14716C23164yescomplemented
554#14716C23132yescomplemented
555#14716C23132yescomplemented
556#14716C23164yescomplemented
557#14716C23132yescomplemented
558#14716C231128yescomplemented
559#14715C231128yescomplemented
560#14715C23164yescomplemented
561#14698C23132yescomplemented
562#14694C23164yescomplemented
563#14685C23116yescomplemented
564#14681C23132yescomplemented
565#14257C23164yescomplemented
566#14255C231128yescomplemented
567#14175C23164yescomplemented
568#14137C23132yescomplemented
569#14136C23164yescomplemented
570#14134C23164yescomplemented
571#14134C231128yescomplemented
572#14025C23164yescomplemented
573#14025C23164yescomplemented
574#14025C23164yescomplemented
575#14023C231128yescomplemented
576#14023C231128yescomplemented
577#14023C231128yescomplemented
578#14016C23164yescomplemented
579#13970C23164yescomplemented
580#13970C23164yescomplemented
581#13970C23164yescomplemented
582#13967C23164yescomplemented
583#13967C23164yescomplemented
584#13967C23164yescomplemented
585#13967C231128yescomplemented
586#13967C231128yescomplemented
587#13967C231128yescomplemented
588#13956C23132yescomplemented
589#13924C23132yescomplemented
590#13916C23132yescomplemented
591#13916C23132yescomplemented
592#13894C23164yescomplemented
593#13894C23164yescomplemented
594#13872C23132yescomplemented
595#13871C23164yescomplemented
596#13869C23164yescomplemented
597#13868C23164yescomplemented
598#13867C23164yescomplemented
599#13867C231128yescomplemented
600C4×#393C23132yescomplemented
601C4×#392C23132yescomplemented
602C2×#1446C2314yescomplemented
603C2×#1446C2312yescomplemented
604C2×#1445C2318yescomplemented
605C2×#1444C2312yescomplemented
606C2×#1442C2318yescomplemented
607C2×#1442C2318yescomplemented
608C2×#1442C2314yescomplemented
609C2×#1442C2314yescomplemented
610C2×#1442C2312yescomplemented
611#13839C23164yescomplemented
612C2×#1441C2314yescomplemented
613C2×#1441C2314yescomplemented
614C2×#1441C2314yescomplemented
615C2×#1440C2318yescomplemented
616C2×#1440C2318yescomplemented
617C2×#1440C2318yescomplemented
618C2×#1440C2314yescomplemented
619C2×#1440C2318yescomplemented
620C2×#1440C2318yescomplemented
621C2×#1440C2318yescomplemented
622C2×#1440C2314yescomplemented
623C2×#1439C2314yes—
624C2×#1439C2318yes—
625C2×#1439C2318yes—
626C2×#1439C2314yes—
627C2×#1439C2314yes—
628C2×#1439C2312yes—
629C2×#1439C2312yes—
630C2×#1439C2314yes—
631C2×#1439C2314yescomplemented
632C2×#1439C2318yescomplemented
633C2×#1439C2314yescomplemented
634C2×#1439C2314yescomplemented
635C2×#1439C2318yescomplemented
636C2×#1439C2318yescomplemented
637C2×#1439C2318yescomplemented
638C2×#1439C2318yescomplemented
639C2×#1439C2318yescomplemented
640C2×#1439C2318yescomplemented
641C2×#1439C2318yescomplemented
642C2×#1439C2318yescomplemented
643C2×#1439C2314yescomplemented
644C2×#1439C2314yescomplemented
645C2×#1439C2314yescomplemented
646C2×#1439C23164yescomplemented
647C2×#1438C2318yes—
648C2×#1438C2314yes—
649C2×#1438C2318yes—
650C2×#1438C2314yes—
651C2×#1438C2318yes—
652C2×#1438C2314yes—
653C2×#1438C2318yes—
654C2×#1438C2318yescomplemented
655C2×#1438C2318yescomplemented
656C2×#1438C2318yescomplemented
657C2×#1438C2318yescomplemented
658C2×#1438C2318yescomplemented
659C2×#1438C2318yescomplemented
660C2×#1438C2318yescomplemented
661C2×#1438C2318yescomplemented
662C2×#1438C2318yescomplemented
663C2×#1438C2318yescomplemented
664C2×#1438C2318yescomplemented
665C2×#1438C2318yescomplemented
666C2×#1438C2314yescomplemented
667C2×#1438C2318yescomplemented
668C2×#1438C2318yescomplemented
669C2×#1438C2314yescomplemented
670C2×#1438C2312yescomplemented
671C2×#1438C2318yescomplemented
672C2×#1438C231128yescomplemented
673D4×#95C23132yescomplemented
674D4×#95C23132yescomplemented
675D4×#95C23164yescomplemented
676C4×#381C23116yescomplemented
677C4×#386C23132yescomplemented
678C2×#1437C2318yes—
679C2×#1437C2318yescomplemented
680C2×#1437C2318yescomplemented
681C2×#1437C2318yescomplemented
682C2×#1437C2314yescomplemented
683C2×#1436C2318yescomplemented
684C2×#1436C2314yescomplemented
685C2×C4⋊#95C2314yescomplemented
686C2×C4⋊#95C2314yescomplemented
687C2×C4⋊#95C2314yescomplemented
688C2×C4⋊#95C2314yescomplemented
689C2×C4⋊#95C2314yescomplemented
690C2×C4⋊#95C2312yescomplemented
691C2×C4⋊#95C2312yescomplemented
692C2×#1434C2312yescomplemented
693C2×#1434C2312yescomplemented
694C2×#1434C2312yescomplemented
695C2×#1434C2312yescomplemented
696C2×C22⋊#95C2314yes—
697C2×C22⋊#95C2314yes—
698C2×C22⋊#95C2314yes—
699C2×C22⋊#95C2312yes—
700C2×C22⋊#95C2311yescharacteristic
701C2×C22⋊#95C2312yes—
702C2×C22⋊#95C2312yes—
703C2×C22⋊#95C2311yescharacteristic
704C2×C22⋊#95C23132yescomplemented
705C2×C22⋊#95C2318yescomplemented
706C2×C22⋊#95C2318yescomplemented
707C2×C22⋊#95C2318yescomplemented
708C2×C22⋊#95C2318yescomplemented
709C2×C22⋊#95C2318yescomplemented
710C2×C22⋊#95C2318yescomplemented
711C2×C22⋊#95C2318yescomplemented
712C2×C22⋊#95C2318yescomplemented
713C2×C22⋊#95C2314yescomplemented
714C2×C22⋊#95C2314yescomplemented
715C2×C22⋊#95C2314yescomplemented
716C2×C22⋊#95C2314yescomplemented
717C2×C4×#95C2314yescomplemented
718C2×C4×#95C2312yescomplemented
719C2×C4×#95C2312yescomplemented
720C27C2411yescharacteristic
721C27C2412yes—
722C27C2414yes—
723C27C2412yes—
724C27C2414yes—
725C27C2414yes—
726C27C24116yes—
727C23×#41C24116yes—
728C23×#41C24116yescomplemented
729C24×Q8C2411yescharacteristic
730C24×Q8C2412yes—
731C24×D4C2×D4132yes—
732C24×D4C2×D4132yes—
733C24×D4C2×D4116yes—
734C24×D4C2×D4164yescomplemented
735C24×D4#41132yescomplemented
736C24×D4C24116yes—
737C24×D4C2412yes—
738C24×D4C2414yes—
739C24×D4C2414yes—
740C24×D4C2412yes—
741C24×D4C2414yes—
742C24×D4C2412yes—
743C24×D4C24116yes—
744C24×D4C2414yes—
745C24×D4C2411yescharacteristic
746C24×D4C2412yes—
747C24×D4C24132yes—
748C24×D4C24116yes—
749C24×D4C24116yes—
750C24×D4C2418yes—
751C24×D4C2414yes—
752C24×D4C2412yes—
753C24×D4C2418yes—
754C24×D4C2418yes—
755C24×D4C2412yes—
756C24×D4C2411yescharacteristic
757C24×D4C2418yes—
758C24×D4C2414yes—
759C24×D4C2412yes—
760C24×D4C2418yes—
761C24×D4C2418yes—
762C24×D4C24164yes—
763C24×D4C2414yes—
764C24×D4C2414yes—
765C24×D4C2414yes—
766C24×D4C24132yes—
767C24×D4C2411yescharacteristic
768C24×D4C24116yescomplemented
769C25×C4C2×D4132yescomplemented
770C25×C4C2412yes—
771C25×C4C2411yescharacteristic
772C25×C4C2412yes—
773C25×C4C2418yes—
774C25×C4C2411yescharacteristic
775C25×C4C2411yescharacteristic
776C25×C4C2412yes—
777C25×C4C2414yes—
778C25×C4C2418yes—
779C25×C4C2411yescharacteristic
780C25×C4C2412yes—
781C25×C4C2412yes—
782C25×C4C2411yescharacteristic
783C25×C4C2412yes—
784C25×C4C2414yes—
785C25×C4C2414yes—
786C25×C4C2411yescharacteristic
787C25×C4C2414yes—
788C25×C4C2412yes—
789C25×C4C2412yes—
790C25×C4C2412yes—
791C25×C4C2414yes—
792C25×C4C24116yes—
793C25×C4C24116yes—
794C2×D42C2×D41512yescomplemented
795C22×C4⋊Q8C2418yescomplemented
796C22×#127C2×D4132yescomplemented
797C22×#127C24132yes—
798C22×#127C24116yes—
799C22×#127C2418yescomplemented
800C22×#126C24116yescomplemented
801C22×#126C24132yescomplemented
802C22×#125C2418yescomplemented
803C22×#125C24116yescomplemented
804C22×#124C2418yescomplemented
805C22×#124C24116yescomplemented
806C22×#124C24132yescomplemented
807C22×#123C24116yes—
808C22×#123C24132yescomplemented
809C22×#123C24132yescomplemented
810C22×#123C24132yescomplemented
811C22×C22⋊Q8C2418yes—
812C22×C22⋊Q8C24116yescomplemented
813C22×C22⋊Q8C24132yescomplemented
814C22×#121C2×D4132yescomplemented
815C22×#121C2×D4164yescomplemented
816C22×#121C2×D4132yescomplemented
817C22×#121C2418yes—
818C22×#121C24116yes—
819C22×#121C24132yes—
820C22×#121C24132yes—
821C22×#121C24132yes—
822C22×#121C24164yes—
823C22×#121C24116yes—
824C22×#121C24132yes—
825C22×#121C24116yes—
826C22×#121C24116yescomplemented
827C22×#121C24132yescomplemented
828C22×#121C24116yescomplemented
829C22×#121C24116yescomplemented
830C22×#121C24116yescomplemented
831C22×#121C24132yescomplemented
832C22×#121C24132yescomplemented
833C22×#120C2×D4164yescomplemented
834C22×#120C2×D4164yescomplemented
835C22×#120C24116yes—
836C22×#120C24132yes—
837C22×#120C24164yes—
838C22×#120C24164yes—
839C22×#120C24132yes—
840C22×#120C24132yes—
841C22×#120C24132yes—
842C22×#120C24132yes—
843C22×#120C24132yes—
844C22×#120C24164yes—
845C22×#120C24164yes—
846C22×#120C24164yes—
847C22×#120C24132yescomplemented
848C22×C4×Q8C2418yescomplemented
849C22×C4×D4C2×D4116yes—
850C22×C4×D4C2×D4116yes—
851C22×C4×D4C2×D4132yes—
852C22×C4×D4C2×D4132yescomplemented
853C22×C4×D4C2×D4116yescomplemented
854C22×C4×D4C2×D4132yescomplemented
855C22×C4×D4C2×D4116yescomplemented
856C22×C4×D4C2×D4132yescomplemented
857C22×C4×D4C2×D41256yescomplemented
858C22×C4×D4C24116yes—
859C22×C4×D4C24132yes—
860C22×C4×D4C24132yes—
861C22×C4×D4C24132yes—
862C22×C4×D4C2418yes—
863C22×C4×D4C2418yes—
864C22×C4×D4C24116yes—
865C22×C4×D4C24116yes—
866C22×C4×D4C24116yes—
867C22×C4×D4C24116yes—
868C22×C4×D4C2418yes—
869C22×C4×D4C2418yes—
870C22×C4×D4C24132yes—
871C22×C4×D4C24116yes—
872C22×C4×D4C2418yescomplemented
873C22×C4×D4C24116yescomplemented
874C22×C4×D4C24132yescomplemented
875C22×C4×D4C24132yescomplemented
876C22×C4×D4C24116yescomplemented
877C22×C4×D4C24116yescomplemented
878C22×#117C24116yescomplemented
879C22×#117C24116yescomplemented
880C22×#117C24116yescomplemented
881C23×C4⋊C4C2×D4116yescomplemented
882C23×C4⋊C4C2412yes—
883C23×C4⋊C4C2412yes—
884C23×C4⋊C4C2411yescharacteristic
885C23×C4⋊C4C2412yes—
886C23×C4⋊C4C2414yes—
887C23×C4⋊C4C2414yes—
888C23×C4⋊C4C2412yes—
889C23×C4⋊C4C2411yescharacteristic
890C23×C4⋊C4C2412yes—
891C23×C4⋊C4C2414yes—
892C23×C4⋊C4C2414yes—
893C23×C4⋊C4C2412yes—
894C23×C4⋊C4C2412yes—
895C23×C4⋊C4C2411yescharacteristic
896C23×C4⋊C4C2411yescharacteristic
897C23×C4⋊C4C2412yes—
898C23×C4⋊C4C2418yes—
899C23×C4⋊C4C2412yes—
900C23×C4⋊C4C2418yes—
901C23×C4⋊C4C24116yescomplemented
902C23×C22⋊C4C2×D4132yescomplemented
903C23×C22⋊C4C2412yes—
904C23×C22⋊C4C2414yes—
905C23×C22⋊C4C2414yes—
906C23×C22⋊C4C2412yes—
907C23×C22⋊C4C2412yes—
908C23×C22⋊C4C2414yes—
909C23×C22⋊C4C2412yes—
910C23×C22⋊C4C2414yes—
911C23×C22⋊C4C2414yes—
912C23×C22⋊C4C2414yes—
913C23×C22⋊C4C2418yes—
914C23×C22⋊C4C2414yes—
915C23×C22⋊C4C2414yes—
916C23×C22⋊C4C2418yes—
917C23×C22⋊C4C2412yes—
918C23×C22⋊C4C2414yes—
919C23×C22⋊C4C2414yes—
920C23×C22⋊C4C2414yes—
921C23×C22⋊C4C2418yes—
922C23×C22⋊C4C2412yes—
923C23×C22⋊C4C2412yes—
924C23×C22⋊C4C2414yes—
925C23×C22⋊C4C2414yes—
926C23×C22⋊C4C2414yes—
927C23×C22⋊C4C2418yes—
928C23×C22⋊C4C2414yes—
929C23×C22⋊C4C2418yes—
930C23×C22⋊C4C2414yes—
931C23×C22⋊C4C2418yes—
932C23×C22⋊C4C2418yes—
933C23×C22⋊C4C24132yes—
934C23×C22⋊C4C24132yes—
935C23×C22⋊C4C24132yes—
936C23×C22⋊C4C2418yes—
937C23×C22⋊C4C2412yes—
938C23×C22⋊C4C2414yes—
939C23×C22⋊C4C2412yes—
940C23×C22⋊C4C2412yes—
941C23×C22⋊C4C2414yes—
942C23×C22⋊C4C2412yes—
943C23×C22⋊C4C2412yes—
944C23×C22⋊C4C2414yes—
945C23×C22⋊C4C2412yes—
946C23×C22⋊C4C24116yes—
947C23×C22⋊C4C2412yes—
948C23×C22⋊C4C2412yes—
949C23×C22⋊C4C2418yes—
950C23×C22⋊C4C2418yes—
951C23×C22⋊C4C2414yes—
952C23×C22⋊C4C2414yes—
953C23×C22⋊C4C24132yes—
954C23×C22⋊C4C2414yes—
955C23×C22⋊C4C2418yes—
956C23×C22⋊C4C2414yes—
957C23×C22⋊C4C2418yes—
958C23×C22⋊C4C24164yes—
959C23×C22⋊C4C2414yes—
960C23×C22⋊C4C2414yes—
961C23×C22⋊C4C2418yes—
962C23×C22⋊C4C2418yes—
963C23×C22⋊C4C24116yes—
964C23×C22⋊C4C24132yes—
965C23×C22⋊C4C24116yes—
966C23×C22⋊C4C24116yes—
967C23×C22⋊C4C24116yes—
968C23×C22⋊C4C24116yes—
969C23×C22⋊C4C24116yes—
970C23×C22⋊C4C2414yes—
971C23×C22⋊C4C2418yes—
972C23×C22⋊C4C2418yes—
973C23×C22⋊C4C2418yes—
974C23×C22⋊C4C24132yescomplemented
975C23×C22⋊C4C24132yescomplemented
976C23×C22⋊C4C24164yescomplemented
977C23×C42C2×D4116yescomplemented
978C23×C42C2412yes—
979C23×C42C2414yes—
980C23×C42C2414yes—
981C23×C42C2411yescharacteristic
982C23×C42C2411yescharacteristic
983C23×C42C2411yescharacteristic
984C23×C42C2411yescharacteristic
985C23×C42C2412yes—
986C23×C42C2418yes—
987C23×C42C2418yes—
988C23×C42C2412yes—
989C2×#394C24164yes—
990C2×#394C24132yes—
991C2×#393C24116yes—
992C2×#393C24132yes—
993C2×#393C24132yescomplemented
994C2×#393C24164yescomplemented
995C2×#392C24164yes—
996C2×#392C24132yes—
997C2×#392C24132yes—
998C2×#392C24116yes—
999C2×#392C24164yes—
1000C2×#392C24164yes—
1001C2×#392C24164yes—
1002C2×#392C24164yes—
1003C2×#392C24132yes—
1004C2×#392C24132yescomplemented
1005C2×#392C24164yescomplemented
1006C2×#392C24132yescomplemented
1007C2×#392C24132yescomplemented
1008C2×#392C24164yescomplemented
1009C2×#392C24164yescomplemented
1010C2×#390C24116yes—
1011C2×#390C24116yes—
1012C2×#390C24116yes—
1013C2×#390C24132yes—
1014C2×#390C24132yes—
1015C2×#390C24116yes—
1016C2×#390C24116yes—
1017C2×#390C24132yes—
1018C2×#390C24132yes—
1019C2×#390C24116yes—
1020C2×#390C24132yescomplemented
1021C2×#390C24132yescomplemented
1022C2×#386C24164yes—
1023C2×#386C24132yes—
1024C2×#386C24132yes—
1025C2×#386C24132yes—
1026C2×#386C24132yes—
1027C2×#386C24132yes—
1028C2×#386C24132yes—
1029C2×#386C24132yes—
1030C2×#386C24132yes—
1031C2×#386C24164yes—
1032C2×#386C24164yes—
1033C2×#386C24164yes—
1034C2×#386C24132yes—
1035C2×#386C24132yes—
1036C2×#386C24132yes—
1037C2×#386C24116yes—
1038C2×#386C24116yes—
1039C2×#386C24164yes—
1040C2×#386C24116yes—
1041C2×#386C24132yes—
1042C2×#386C24132yes—
1043C2×#386C24132yes—
1044C2×#386C24164yes—
1045C2×#386C24132yes—
1046C2×#386C24164yescomplemented
1047C2×#386C24164yescomplemented
1048C2×#386C24164yescomplemented
1049C2×#386C24164yescomplemented
1050C2×#386C24164yescomplemented
1051C2×#386C24164yescomplemented
1052C2×#386C24164yescomplemented
1053C2×#386C24164yescomplemented
1054C2×#386C24164yescomplemented
1055C2×#385C24116yes—
1056C2×#385C24132yes—
1057C2×#381C24116yes—
1058C2×#381C24116yes—
1059C2×#381C24132yescomplemented
1060C2×#381C24132yescomplemented
1061C2×#380C24132yes—
1062C2×#380C24116yes—
1063C2×#380C24132yes—
1064C2×#380C24116yes—
1065C2×#380C24116yes—
1066C2×#380C24132yescomplemented
1067C2×#379C24116yes—
1068C2×#379C24132yes—
1069C2×#379C24164yes—
1070C2×#379C24164yes—
1071C2×#379C24132yes—
1072C2×#379C24132yes—
1073C2×#379C24132yes—
1074C2×#379C24132yes—
1075C2×#379C24132yes—
1076C2×#379C24164yescomplemented
1077C2×C4×C22⋊C4C24116yes—
1078C2×C4×C22⋊C4C24132yes—
1079C2×C4×C22⋊C4C24116yes—
1080C2×C4×C22⋊C4C24116yes—
1081C2×C4×C22⋊C4C24116yes—
1082C2×C4×C22⋊C4C24116yes—
1083C2×C4×C22⋊C4C24132yescomplemented
1084C22×#95C2414yes—
1085C22×#95C2418yes—
1086C22×#95C2414yes—
1087C22×#95C2414yes—
1088C22×#95C2412yes—
1089C22×#95C2414yes—
1090C22×#95C2412yes—
1091C22×#95C2412yes—
1092C22×#95C2414yes—
1093C22×#95C2414yes—
1094C22×#95C2412yes—
1095C22×#95C2414yes—
1096C22×#95C2414yes—
1097C22×#95C2412yes—
1098C22×#95C2414yes—
1099C22×#95C2414yes—
1100C22×#95C2412yes—
1101C22×#95C2418yes—
1102C22×#95C2414yes—
1103C22×#95C2418yes—
1104C22×#95C2418yes—
1105C22×#95C24116yes—
1106C22×#95C2412yes—
1107C22×#95C2414yes—
1108C22×#95C2418yes—
1109C22×#95C2418yes—
1110C22×#95C2418yes—
1111C22×#95C2414yes—
1112C22×#95C2414yes—
1113C22×#95C2418yes—
1114C22×#95C2418yes—
1115C22×#95C2414yes—
1116C22×#95C2412yes—
1117C22×#95C2414yes—
1118C22×#95C2414yes—
1119C22×#95C2418yes—
1120C22×#95C2418yes—
1121C22×#95C2418yes—
1122C22×#95C2414yes—
1123C22×#95C2418yes—
1124C22×#95C2418yes—
1125C22×#95C24164yescomplemented
1126C22×#95C24132yescomplemented
1127C22×#95C24132yescomplemented
1128#1446C24132yescomplemented
1129#1446C24116yescomplemented
1130#1445C24164yescomplemented
1131#1444C24116yescomplemented
1132#1442C24164yescomplemented
1133#1442C24132yescomplemented
1134#1442C24132yescomplemented
1135#1442C24116yescomplemented
1136#1442C24164yescomplemented
1137#1441C24132yescomplemented
1138#1441C24132yescomplemented
1139#1441C24132yescomplemented
1140#1440C24164yescomplemented
1141#1440C24164yescomplemented
1142#1440C24164yescomplemented
1143#1440C24132yescomplemented
1144#1440C24132yescomplemented
1145#1440C24164yescomplemented
1146#1440C24164yescomplemented
1147#1440C24164yescomplemented
1148#1439C24164yes—
1149#1439C24116yes—
1150#1439C24132yes—
1151#1439C24164yes—
1152#1439C24132yes—
1153#1439C24132yes—
1154#1439C24116yes—
1155#1439C24132yes—
1156#1439C24132yescomplemented
1157#1439C24164yescomplemented
1158#1439C24164yescomplemented
1159#1439C24132yescomplemented
1160#1439C24132yescomplemented
1161#1439C24164yescomplemented
1162#1439C24164yescomplemented
1163#1439C24164yescomplemented
1164#1439C24164yescomplemented
1165#1439C24132yescomplemented
1166#1439C24132yescomplemented
1167#1439C24164yescomplemented
1168#1439C24132yescomplemented
1169#1439C24164yescomplemented
1170#1439C24164yescomplemented
1171#1438C24164yes—
1172#1438C24132yes—
1173#1438C24164yes—
1174#1438C24164yes—
1175#1438C24132yes—
1176#1438C24164yes—
1177#1438C24132yes—
1178#1438C24164yescomplemented
1179#1438C24164yescomplemented
1180#1438C24164yescomplemented
1181#1438C24164yescomplemented
1182#1438C24164yescomplemented
1183#1438C24164yescomplemented
1184#1438C24164yescomplemented
1185#1438C24164yescomplemented
1186#1438C24132yescomplemented
1187#1438C24164yescomplemented
1188#1438C24132yescomplemented
1189#1438C24116yescomplemented
1190#1438C24164yescomplemented
1191#1438C24164yescomplemented
1192#1438C24164yescomplemented
1193#1438C24164yescomplemented
1194#1438C24164yescomplemented
1195#1438C24164yescomplemented
1196#1437C24164yes—
1197#1437C24164yescomplemented
1198#1437C24164yescomplemented
1199#1437C24164yescomplemented
1200#1437C24132yescomplemented
1201#1436C24132yescomplemented
1202#1436C24164yescomplemented
1203C4⋊#95C24116yescomplemented
1204C4⋊#95C24132yescomplemented
1205C4⋊#95C24132yescomplemented
1206C4⋊#95C24132yescomplemented
1207C4⋊#95C24132yescomplemented
1208C4⋊#95C24132yescomplemented
1209C4⋊#95C24116yescomplemented
1210#1434C24116yescomplemented
1211#1434C24116yescomplemented
1212#1434C24116yescomplemented
1213#1434C24116yescomplemented
1214C22⋊#95C24132yes—
1215C22⋊#95C24132yes—
1216C22⋊#95C24132yes—
1217C22⋊#95C24116yes—
1218C22⋊#95C24116yes—
1219C22⋊#95C2418yes—
1220C22⋊#95C24116yes—
1221C22⋊#95C2418yes—
1222C22⋊#95C24164yescomplemented
1223C22⋊#95C24132yescomplemented
1224C22⋊#95C24132yescomplemented
1225C22⋊#95C24164yescomplemented
1226C22⋊#95C24164yescomplemented
1227C22⋊#95C24164yescomplemented
1228C22⋊#95C24164yescomplemented
1229C22⋊#95C24164yescomplemented
1230C22⋊#95C24164yescomplemented
1231C22⋊#95C24164yescomplemented
1232C22⋊#95C24132yescomplemented
1233C22⋊#95C24132yescomplemented
1234C4×#95C24116yescomplemented
1235C4×#95C24132yescomplemented
1236C4×#95C24116yescomplemented
1237C26C22×D4116yes—
1238C26C22×D4132yes—
1239C26C22×D4132yes—
1240C26C2×#41132yes—
1241C26H(5,𝔽2)18yes—
1242C26C2514yes—
1243C26C2512yes—
1244C26C2514yes—
1245C26C2512yes—
1246C26C2512yes—
1247C26C2514yes—
1248C26C2518yes—
1249C26C25116yes—
1250C26C2518yes—
1251C26C2512yes—
1252C26C2511yescharacteristic
1253C26C25116yes—
1254C26C25116yes—
1255C23×Q8C2514yes—
1256C23×Q8C2518yes—
1257C23×D4#1201256yes—
1258C23×D4C22×D4132yes—
1259C23×D4C22×D4116yes—
1260C23×D4C22×D41128yes—
1261C23×D4C22×D4116yes—
1262C23×D4C22×D4132yes—
1263C23×D4C22×D41128yes—
1264C23×D4C22×D4116yes—
1265C23×D4C22×D418yes—
1266C23×D4C22×D4164yes—
1267C23×D4C22×D4132yes—
1268C23×D4C22×D4116yes—
1269C23×D4C22×D4132yes—
1270C23×D4C22×D4132yes—
1271C23×D4C22×D4132yes—
1272C23×D4C22×D418yes—
1273C23×D4C22×D4116yes—
1274C23×D4C22×D41256yescomplemented
1275C23×D4C2×#41132yes—
1276C23×D4C2×#41116yes—
1277C23×D4C2×#41116yes—
1278C23×D4C2×#411128yescomplemented
1279C23×D4H(5,𝔽2)116yes—
1280C23×D4C2518yes—
1281C23×D4C25116yes—
1282C23×D4C25116yes—
1283C23×D4C2518yes—
1284C23×D4C25116yes—
1285C23×D4C2518yes—
1286C23×D4C25116yes—
1287C23×D4C2518yes—
1288C23×D4C25116yes—
1289C23×D4C2514yes—
1290C23×D4C2518yes—
1291C23×D4C25132yes—
1292C23×D4C2518yes—
1293C23×D4C2514yes—
1294C23×D4C25132yes—
1295C23×D4C25116yes—
1296C23×D4C2518yes—
1297C23×D4C25132yes—
1298C23×D4C25132yes—
1299C23×D4C25116yes—
1300C23×D4C25116yes—
1301C23×D4C25116yes—
1302C23×D4C2514yes—
1303C24×C4C22×D4116yes—
1304C24×C4C22×D418yes—
1305C24×C4C22×D418yes—
1306C24×C4C22×D4116yes—
1307C24×C4C22×D4116yes—
1308C24×C4C22×D418yes—
1309C24×C4C22×D4116yes—
1310C24×C4C22×D4116yes—
1311C24×C4C22×D4116yes—
1312C24×C4C22×D4116yes—
1313C24×C4C22×D4132yes—
1314C24×C4C22×D41128yescomplemented
1315C24×C4C2×#41116yes—
1316C24×C4C2514yes—
1317C24×C4C2518yes—
1318C24×C4C2512yes—
1319C24×C4C2514yes—
1320C24×C4C2518yes—
1321C24×C4C2514yes—
1322C24×C4C2511yescharacteristic
1323C24×C4C2512yes—
1324C24×C4C2511yescharacteristic
1325C24×C4C2512yes—
1326C24×C4C2512yes—
1327C24×C4C2514yes—
1328C24×C4C2512yes—
1329C24×C4C2511yescharacteristic
1330C24×C4C2512yes—
1331C24×C4C2518yes—
1332C24×C4C2512yes—
1333C24×C4C2512yes—
1334C24×C4C2514yes—
1335C24×C4C2514yes—
1336C24×C4C2514yes—
1337C24×C4C2518yes—
1338C24×C4C25116yes—
1339C24×C4C25132yes—
1340C24×C4C2514yes—
1341C24×C4C2518yes—
1342C24×C4C2518yes—
1343C24×C4C2514yes—
1344C24×C4C2511yescharacteristic
1345C24×C4C2511yescharacteristic
1346C24×C4C2518yes—
1347C24×C4C25116yes—
1348C24×C4C25116yes—
1349C24×C4C2514yes—
1350C24×C4C25116yes—
1351C24×C4C2518yes—
1352C24×C4C2518yes—
1353C24×C4C2518yes—
1354C24×C4C25116yes—
1355C24×C4C2511yescharacteristic
1356C2×#127C22×D41128yescomplemented
1357C2×#121C22×D41128yescomplemented
1358C2×#121C22×D41128yescomplemented
1359C2×#121C22×D41256yescomplemented
1360C2×#120C22×D41256yescomplemented
1361C2×#120C22×D41256yescomplemented
1362C2×C4×D4C22×D4164yes—
1363C2×C4×D4C22×D4164yes—
1364C2×C4×D4C22×D41128yes—
1365C2×C4×D4C22×D41128yescomplemented
1366C2×C4×D4C22×D4164yescomplemented
1367C2×C4×D4C22×D41128yescomplemented
1368C2×C4×D4C22×D4164yescomplemented
1369C2×C4×D4C22×D41128yescomplemented
1370C22×C4⋊C4C22×D4116yes—
1371C22×C4⋊C4C22×D418yes—
1372C22×C4⋊C4C22×D418yes—
1373C22×C4⋊C4C22×D4116yes—
1374C22×C4⋊C4C22×D4116yes—
1375C22×C4⋊C4C22×D4164yescomplemented
1376C22×C4⋊C4C2518yes—
1377C22×C4⋊C4C2514yes—
1378C22×C4⋊C4C2518yes—
1379C22×C4⋊C4C25116yes—
1380C22×C4⋊C4C2514yes—
1381C22×C4⋊C4C2518yes—
1382C22×C4⋊C4C2518yes—
1383C22×C4⋊C4C25116yes—
1384C22×C4⋊C4C25116yes—
1385C22×C4⋊C4C2518yes—
1386C22×C4⋊C4C25116yes—
1387C22×C4⋊C4C2518yes—
1388C22×C4⋊C4C2514yes—
1389C22×C4⋊C4C2514yes—
1390C22×C4⋊C4C2518yes—
1391C22×C4⋊C4C2518yes—
1392C22×C4⋊C4C2518yes—
1393C22×C22⋊C4C22×D4132yes—
1394C22×C22⋊C4C22×D4116yes—
1395C22×C22⋊C4C22×D4132yes—
1396C22×C22⋊C4C22×D4116yes—
1397C22×C22⋊C4C22×D4132yes—
1398C22×C22⋊C4C22×D4116yes—
1399C22×C22⋊C4C22×D4116yes—
1400C22×C22⋊C4C22×D4116yes—
1401C22×C22⋊C4C22×D4116yes—
1402C22×C22⋊C4C22×D41128yescomplemented
1403C22×C22⋊C4H(5,𝔽2)116yes—
1404C22×C22⋊C4H(5,𝔽2)116yes—
1405C22×C22⋊C4C25116yes—
1406C22×C22⋊C4C2518yes—
1407C22×C22⋊C4C25116yes—
1408C22×C22⋊C4C25116yes—
1409C22×C22⋊C4C25116yes—
1410C22×C22⋊C4C2518yes—
1411C22×C22⋊C4C25116yes—
1412C22×C22⋊C4C2518yes—
1413C22×C22⋊C4C25116yes—
1414C22×C22⋊C4C25116yes—
1415C22×C22⋊C4C25132yes—
1416C22×C22⋊C4C25116yes—
1417C22×C22⋊C4C2518yes—
1418C22×C22⋊C4C2518yes—
1419C22×C22⋊C4C2518yes—
1420C22×C22⋊C4C25116yes—
1421C22×C22⋊C4C25116yes—
1422C22×C22⋊C4C25132yes—
1423C22×C22⋊C4C25116yes—
1424C22×C22⋊C4C25132yes—
1425C22×C22⋊C4C25132yes—
1426C22×C22⋊C4C25116yes—
1427C22×C22⋊C4C25132yes—
1428C22×C22⋊C4C25116yes—
1429C22×C22⋊C4C25132yes—
1430C22×C22⋊C4C25116yes—
1431C22×C22⋊C4C25116yes—
1432C22×C22⋊C4C2518yes—
1433C22×C22⋊C4C25116yes—
1434C22×C22⋊C4C2518yes—
1435C22×C22⋊C4C25116yes—
1436C22×C22⋊C4C25116yes—
1437C22×C22⋊C4C2518yes—
1438C22×C22⋊C4C2518yes—
1439C22×C22⋊C4C2518yes—
1440C22×C22⋊C4C2518yes—
1441C22×C22⋊C4C25116yes—
1442C22×C22⋊C4C2518yes—
1443C22×C22⋊C4C2518yes—
1444C22×C22⋊C4C2518yes—
1445C22×C22⋊C4C25132yes—
1446C22×C22⋊C4C25132yes—
1447C22×C22⋊C4C25132yes—
1448C22×C22⋊C4C25132yes—
1449C22×C22⋊C4C25132yes—
1450C22×C22⋊C4C25132yes—
1451C22×C22⋊C4C25116yes—
1452C22×C22⋊C4C25116yes—
1453C22×C22⋊C4C25116yes—
1454C22×C22⋊C4C25116yes—
1455C22×C22⋊C4C25116yes—
1456C22×C22⋊C4C25116yes—
1457C22×C22⋊C4C25132yes—
1458C22×C22⋊C4C25132yes—
1459C22×C22⋊C4C25116yes—
1460C22×C22⋊C4C25132yes—
1461C22×C42C22×D418yes—
1462C22×C42C22×D418yes—
1463C22×C42C22×D418yes—
1464C22×C42C22×D418yes—
1465C22×C42C22×D4116yes—
1466C22×C42C22×D4164yescomplemented
1467C22×C42C2518yes—
1468C22×C42C25116yes—
1469C22×C42C25116yes—
1470C22×C42C2514yes—
1471C22×C42C2514yes—
1472C22×C42C2514yes—
1473C22×C42C2514yes—
1474C22×C42C2518yes—
1475C22×C42C2518yes—
1476C2×#95C25116yes—
1477C2×#95C25116yes—
1478C2×#95C25116yes—
1479C2×#95C2518yes—
1480C2×#95C25116yes—
1481C2×#95C25132yes—
1482C2×#95C25116yes—
1483C2×#95C2518yes—
1484C2×#95C25116yes—
1485C2×#95C25116yes—
1486C2×#95C25132yes—
1487C2×#95C25116yes—
1488C2×#95C25116yes—
1489C2×#95C2518yes—
1490C2×#95C25116yes—
1491C2×#95C2518yes—
1492C2×#95C25116yes—
1493C2×#95C2518yes—
1494C2×#95C2518yes—
1495C2×#95C25132yes—
1496C2×#95C25116yes—
1497C2×#95C25132yes—
1498C2×#95C25132yes—
1499C2×#95C25132yes—
1500C2×#95C25132yes—
1501C2×#95C2518yes—
1502C2×#95C2518yes—
1503C2×#95C25116yes—
1504C2×#95C25116yes—
1505C2×#95C25132yes—
1506C2×#95C25116yes—
1507C2×#95C25132yes—
1508C2×#95C25116yes—
1509C2×#95C25132yes—
1510C2×#95C25116yes—
1511C2×#95C25116yes—
1512C2×#95C25132yes—
1513C2×#95C25132yes—
1514C25C2×#1201128yes—
1515C25C23×D418yes—
1516C25C23×D4116yes—
1517C25C23×D4116yes—
1518C25C23×D418yes—
1519C25C23×D4164yes—
1520C25C23×D4132yes—
1521C25C23×D418yes—
1522C25C23×D4116yes—
1523C25C23×D418yes—
1524C25C23×D414yes—
1525C25C23×D4164yes—
1526C25C22×#41116yes—
1527C25C22×#4118yes—
1528C25C22×#41164yes—
1529C25C22×#41116yes—
1530C25C2×H(5,𝔽2)18yes—
1531C25C2×H(5,𝔽2)18yes—
1532C25C2×H(5,𝔽2)116yes—
1533C25C2×H(5,𝔽2)116yes—
1534C25C2×H(5,𝔽2)14yes—
1535C25C2×H(5,𝔽2)18yes—
1536C25#58514yes—
1537C25C2614yes—
1538C25C2618yes—
1539C25C2618yes—
1540C25C2614yes—
1541C25C2614yes—
1542C25C2614yes—
1543C25C2612yes—
1544C25C2611yescharacteristic
1545C22×D4C2×#1201128yes—
1546C22×D4C2×#120164yes—
1547C22×D4C2×#1201512yes—
1548C22×D4C2×#120164yes—
1549C22×D4#525164yes—
1550C22×D4#535164yes—
1551C22×D4#5461256yes—
1552C22×D4C23×D4164yes—
1553C22×D4C23×D4132yes—
1554C22×D4C23×D4164yes—
1555C22×D4C23×D4132yes—
1556C22×D4C23×D4132yes—
1557C22×D4C23×D4116yes—
1558C22×D4C23×D4164yes—
1559C22×D4C23×D4132yes—
1560C22×D4C23×D4164yes—
1561C22×D4C23×D4164yes—
1562C22×D4C23×D4164yes—
1563C22×D4C23×D4116yes—
1564C22×D4C23×D4132yes—
1565C22×D4C22×#41164yes—
1566C22×D4C22×#41132yes—
1567C22×D4C22×#41132yes—
1568C22×D4C2×H(5,𝔽2)132yes—
1569C23×C4C2×#120164yes—
1570C23×C4C23×D414yes—
1571C23×C4C23×D418yes—
1572C23×C4C23×D418yes—
1573C23×C4C23×D418yes—
1574C23×C4C23×D414yes—
1575C23×C4C23×D414yes—
1576C23×C4C23×D4116yes—
1577C23×C4C23×D418yes—
1578C23×C4C23×D418yes—
1579C23×C4C23×D4116yes—
1580C23×C4C23×D4132yes—
1581C23×C4C23×D4116yes—
1582C23×C4C23×D4132yes—
1583C23×C4C23×D4132yes—
1584C23×C4C23×D414yes—
1585C23×C4C23×D418yes—
1586C23×C4C23×D4116yes—
1587C23×C4C23×D4132yes—
1588C23×C4C23×D414yes—
1589C23×C4C23×D4132yes—
1590C23×C4C23×D4132yes—
1591C23×C4C23×D4164yes—
1592C23×C4C23×D4132yes—
1593C23×C4C23×D414yes—
1594C23×C4C23×D418yes—
1595C23×C4C22×#4118yes—
1596C23×C4C22×#41132yes—
1597C23×C4C22×#4118yes—
1598C23×C4C2×H(5,𝔽2)18yes—
1599C23×C4C2×H(5,𝔽2)116yes—
1600C23×C4C2×H(5,𝔽2)18yes—
1601C23×C4C2×H(5,𝔽2)18yes—
1602C23×C4C2614yes—
1603C23×C4C2618yes—
1604C23×C4C2618yes—
1605C23×C4C26116yes—
1606C23×C4C2614yes—
1607C23×C4C2612yes—
1608C23×C4C2614yes—
1609C23×C4C2612yes—
1610C23×C4C2612yes—
1611C23×C4C2618yes—
1612C23×C4C2614yes—
1613C23×C4C2614yes—
1614C23×C4C2614yes—
1615C23×C4C2614yes—
1616C23×C4C2614yes—
1617C23×C4C2618yes—
1618C23×C4C2612yes—
1619C23×C4C2612yes—
1620C23×C4C2612yes—
1621C2×C4⋊C4C23×D4116yes—
1622C2×C4⋊C4C23×D4116yes—
1623C2×C4⋊C4C23×D4132yes—
1624C2×C4⋊C4C23×D4132yes—
1625C2×C4⋊C4C23×D4132yes—
1626C2×C22⋊C4C23×D4132yes—
1627C2×C22⋊C4C23×D4164yes—
1628C2×C22⋊C4C23×D4132yes—
1629C2×C22⋊C4C23×D4132yes—
1630C2×C22⋊C4C23×D4132yes—
1631C2×C22⋊C4C23×D4164yes—
1632C2×C22⋊C4C23×D4132yes—
1633C2×C22⋊C4C23×D4164yes—
1634C2×C22⋊C4C23×D4132yes—
1635C2×C22⋊C4C2×H(5,𝔽2)132yes—
1636C2×C22⋊C4C2×H(5,𝔽2)132yes—
1637C2×C42C23×D4116yes—
1638C2×C42C23×D4132yes—
1639C2×C42C23×D4116yes—
1640C2×C42C23×D4116yes—
1641C2×C42C23×D4116yes—
1642C24C22×#120132yes—
1643C24C22×#1201128yes—
1644C24C22×#120116yes—
1645C24C22×#120132yes—
1646C24C2×#525132yes—
1647C24C2×#535132yes—
1648C24C2×#5461128yes—
1649C24#3484132yes—
1650C24#3488116yes—
1651C24#3496132yes—
1652C24#3498116yes—
1653C24#3519132yescomplemented
1654C24C24×D418yes—
1655C24C24×D4116yes—
1656C24C24×D4116yes—
1657C24C24×D418yes—
1658C24C24×D418yes—
1659C24C24×D414yes—
1660C24C24×D418yes—
1661C24C24×D4116yes—
1662C24C24×D414yes—
1663C24C24×D412yes—
1664C24C23×#41116yes—
1665C24C23×#4118yes—
1666C24C23×#41116yes—
1667C24C23×#4114yes—
1668C24C22×H(5,𝔽2)18yes—
1669C24C22×H(5,𝔽2)18yes—
1670C24C22×H(5,𝔽2)14yes—
1671C24C22×H(5,𝔽2)18yes—
1672C24C22×H(5,𝔽2)116yes—
1673C24C22×H(5,𝔽2)14yes—
1674C24C22×H(5,𝔽2)14yes—
1675C24C22×H(5,𝔽2)14yes—
1676C24C22×H(5,𝔽2)12yes—
1677C24C2×#58514yes—
1678C24C2×#58512yes—
1679C24H(7,𝔽2)14yes—
1680C24C2711yescharacteristic
1681C2×D4#24041512yescomplemented
1682C2×D4C22×#1201128yes—
1683C2×D4C22×#120164yes—
1684C2×D4C22×#120164yes—
1685C2×D4C2×#525164yes—
1686C2×D4C2×#535164yes—
1687C2×D4C2×#5461256yes—
1688C22×C4C22×#120116yes—
1689C22×C4C22×#120164yes—
1690C22×C4C22×#120116yes—
1691C22×C4C2×#525116yes—
1692C22×C4C2×#535116yes—
1693C22×C4C2×#546164yes—
1694C22×C4#3484116yes—
1695C22×C4C24×D418yes—
1696C22×C4C24×D4116yes—
1697C22×C4C24×D414yes—
1698C22×C4C24×D414yes—
1699C22×C4C24×D414yes—
1700C22×C4C24×D418yes—
1701C22×C4C24×D418yes—
1702C22×C4C24×D418yes—
1703C22×C4C24×D418yes—
1704C22×C4C24×D414yes—
1705C22×C4C24×D418yes—
1706C22×C4C24×D414yes—
1707C22×C4C24×D414yes—
1708C22×C4C24×D418yes—
1709C22×C4C23×#4118yes—
1710C22×C4C23×#4118yes—
1711C22×C4C22×H(5,𝔽2)116yes—
1712C22×C4C22×H(5,𝔽2)18yes—
1713C22×C4C22×H(5,𝔽2)18yes—
1714C22×C4C22×H(5,𝔽2)18yes—
1715C23C2×#24041128yes—
1716C23#35680164yes—
1717C23C23×#120116yes—
1718C23C23×#12018yes—
1719C23C23×#120116yes—
1720C23C23×#12014yes—
1721C23C22×#525116yes—
1722C23C22×#52514yes—
1723C23C22×#535116yes—
1724C23C22×#53514yes—
1725C23C22×#546164yes—
1726C23C22×#546116yes—
1727C23C2×#3484116yes—
1728C23C2×#348418yes—
1729C23C2×#348414yes—
1730C23C2×#3496116yes—
1731C23C2×#349618yes—
1732C23C2×#351918yes—
1733C23C2×#3519116yescomplemented
1734C23#6277318yes—
1735C23C2×#348818yes—
1736C23C2×#348814yes—
1737C23C2×#349818yes—
1738C23C2×#349814yes—
1739C23#6284214yes—
1740C23#6289218yes—
1741C23#6289618yes—
1742C23D4×H(5,𝔽2)116yes—
1743C23#62983116yes—
1744C23#63011116yes—
1745C23C25×D411yescharacteristic
1746C23C25×D412yes—
1747C23C24×#4112yes—
1748C23C23×H(5,𝔽2)12yes—
1749C23C23×H(5,𝔽2)11yescharacteristic
1750C23C23×H(5,𝔽2)12yes—
1751C23C23×H(5,𝔽2)12yes—
1752C23C22×#58511yescharacteristic
1753C23C2×H(7,𝔽2)12yes—
1754D4C2×#24041256yescomplemented
1755C2×C4C2×#2404164yes—
1756C2×C4C23×#12018yes—
1757C2×C4C23×#12018yes—
1758C2×C4C22×#52518yes—
1759C2×C4C22×#53518yes—
1760C2×C4C22×#546132yes—
1761C2×C4C2×#348418yes—
1762C22C22×#2404132yes—
1763C22C22×#240418yes—
1764C22C2×#35680116yes—
1765C22C2×#3568018yes—
1766C22#763095018yes—
1767C22#763128618yes—
1768C22#763313018yes—
1769C22#765379018yes—
1770C22#765581918yes—
1771C22#7684390132yes—
1772C22#7692752132yes—
1773C22C24×#12011yescharacteristic
1774C22C23×#52511yescharacteristic
1775C22C23×#53511yescharacteristic
1776C22C23×#54614yes—
1777C22C22×#348412yes—
1778C22C22×#348411yescharacteristic
1779C22C22×#349612yes—
1780C22C22×#351912yes—
1781C22C2×#6277312yes—
1782C22C22×#348811yescharacteristic
1783C22C22×#349811yescharacteristic
1784C22C2×#6284211yescharacteristic
1785C22C2×D4×H(5,𝔽2)14yes—
1786C22C2×#6298314yes—
1787C22C2×#6289212yes—
1788C22C2×#6289612yes—
1789C22C2×#6301114yes—
1790C4C22×#2404116yes—
1791C2C2×#763128611yescharacteristic
1792C2C22×#3568011yescharacteristic
1793C2#72232042116yesdirect product factor
1794C2C2×#768439014yes—
1795C2C2×#765379011yescharacteristic
1796C2C2×#763095011yescharacteristic
1797C2C23×#240411yescharacteristic
1798C2C2×#769275214yes—
1799C2C2×#765581911yescharacteristic
1800C2C2×#763313011yescharacteristic
subgroupG/H
center, socleC25C26
commutator, Frattini, cosocleC24C27
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#670318C2semidirect
2. C2×#636791C2semidirect
3. C2×#520477C2semidirect
4. C2×#636795C2semidirect
5. C2×#688977C2semidirect
6. C2×#607958C2semidirect
7. C2×#4306532C2semidirect
8. C2×#779702C2semidirect
9. C2×#777325C2semidirect
10. C2×#656415C2semidirect
11. C2×#613956C2semidirect
12. C2×#759733C2semidirect
13. C2×#647717C2semidirect
14. C2×#779705C2semidirect
15. C2×D4×#386C2semidirect
16. C2×#760156C2semidirect
17. C23×#3519C2semidirect
18. C2×#688968C2semidirect
19. C23×D4×C22⋊C4C2semidirect
20. C22×#14716C2semidirect
21. C2×#612425C2semidirect
22. C2×#777314C2semidirect
23. C2×#647657C2semidirect
24. C2×#518019C2semidirect
25. #72232042C2direct (N × H)
26. C2×D4×#392C2semidirect
27. C22×D4×#120C2semidirect
29. C22×#3519C22semidirect
30. C23×#555C22semidirect
31. C23×#553C22semidirect
32. C23×#553C22semidirect
33. C23×#554C22semidirect
34. C23×#550C22semidirect
35. C23×#546C22semidirect
36. C23×#546C22semidirect
39. C23×D42C22semidirect
40. C23×#540C22semidirect
41. C23×#538C22semidirect
42. C23×#532C22semidirect
43. C23×#529C22semidirect
44. C23×#525C22semidirect
45. C24×#121C22semidirect
46. C24×#120C22semidirect
47. C23×#518C22semidirect
50. C25×C22⋊C4C22semidirect
51. C22×#2847C22semidirect
52. C22×#2846C22semidirect
53. C2×D4×#120C22semidirect
54. C22×#2404C22semidirect
55. C22×#2404C22semidirect
56. C22×#2404C22semidirect
57. C22×#2433C22semidirect
58. C22×#2433C22semidirect
59. C22×#2408C22semidirect
60. C22×#2408C22semidirect
61. C22×#2410C22semidirect
62. C22×#2410C22semidirect
63. C22×#2403C22semidirect
64. C22×#2403C22semidirect
65. C23×#392C22semidirect
70. C22×D4×C22⋊C4C22semidirect
71. C22×D4×C22⋊C4C22semidirect
72. C22×D4×C22⋊C4C22semidirect
73. C22×D4×C22⋊C4C22semidirect
74. C22×D4×C22⋊C4C22semidirect
75. C22×D4×C22⋊C4C22semidirect
76. C22×C4×#120C22semidirect
77. C23×#390C22semidirect
78. C23×#390C22semidirect
79. C23×#386C22semidirect
80. C23×#386C22semidirect
81. C23×#386C22semidirect
82. C23×#380C22semidirect
83. C23×#379C22semidirect
84. C23×C4×C22⋊C4C22semidirect
85. #4306532C22semidirect
86. D4×#392C22semidirect
87. #779705C22semidirect
88. #779702C22semidirect
89. #777325C22semidirect
90. #777314C22semidirect
91. #760156C22semidirect
92. #759733C22semidirect
93. #688977C22semidirect
94. #688968C22semidirect
95. #670318C22semidirect
96. #656415C22semidirect
97. #647717C22semidirect
98. #647657C22semidirect
99. #636795C22semidirect
100. #636791C22semidirect
101. #613956C22semidirect
102. #612425C22semidirect
103. C2×#16655C22semidirect
104. C2×#16654C22semidirect
105. C2×#16633C22semidirect
106. C2×#16509C22semidirect
107. C2×#16509C22semidirect
108. C2×#16258C22semidirect
109. C2×#16258C22semidirect
110. C2×#16258C22semidirect
111. C2×#16004C22semidirect
112. C2×#15948C22semidirect
113. C2×#15909C22semidirect
114. C2×#15412C22semidirect
115. C2×#15368C22semidirect
116. C2×#15314C22semidirect
117. C2×#15273C22semidirect
118. C2×#15273C22semidirect
119. C2×#15270C22semidirect
120. C2×#15259C22semidirect
121. C2×#15257C22semidirect
122. C2×#15257C22semidirect
123. C2×#15229C22semidirect
124. C2×#15216C22semidirect
125. C2×#15157C22semidirect
126. C2×#15144C22semidirect
127. C2×#15142C22semidirect
128. C2×#15125C22semidirect
129. C2×#15124C22semidirect
130. C2×#15124C22semidirect
131. C2×#15123C22semidirect
132. C2×#15123C22semidirect
133. C2×#15091C22semidirect
134. #607958C22semidirect
135. C2×#14917C22semidirect
136. C2×#14916C22semidirect
137. C2×#14915C22semidirect
138. C2×#14915C22semidirect
139. C2×#14914C22semidirect
140. C2×#14913C22semidirect
141. C2×#14913C22semidirect
142. C2×#14913C22semidirect
143. C2×#14912C22semidirect
144. C2×#14911C22semidirect
145. C2×#14911C22semidirect
146. C2×#14911C22semidirect
147. C2×#14888C22semidirect
148. C2×#14885C22semidirect
149. C2×#14811C22semidirect
150. C2×#14759C22semidirect
151. C2×#14759C22semidirect
152. C2×#14757C22semidirect
153. C2×#14717C22semidirect
154. C2×#14717C22semidirect
155. C2×#14717C22semidirect
156. C2×#14717C22semidirect
158. C2×#14716C22semidirect
159. C2×#14716C22semidirect
160. C2×#14716C22semidirect
161. C2×#14716C22semidirect
162. C2×#14716C22semidirect
163. C2×#14716C22semidirect
164. C2×#14716C22semidirect
165. C2×#14716C22semidirect
166. C2×#14716C22semidirect
167. C2×#14716C22semidirect
168. C2×#14716C22semidirect
169. C2×#14716C22semidirect
170. C2×#14716C22semidirect
171. C2×#14715C22semidirect
172. C2×#14715C22semidirect
173. C2×#14698C22semidirect
174. C2×#14694C22semidirect
175. C2×#14685C22semidirect
176. C2×#14681C22semidirect
177. #520477C22semidirect
178. D4×#386C22semidirect
179. #518019C22semidirect
180. C2×#14257C22semidirect
181. C2×#14255C22semidirect
182. C2×#14175C22semidirect
183. C2×#14137C22semidirect
184. C2×#14136C22semidirect
185. C2×#14134C22semidirect
186. C2×#14134C22semidirect
187. C2×#14025C22semidirect
188. C2×#14025C22semidirect
189. C2×#14025C22semidirect
190. C2×#14023C22semidirect
191. C2×#14023C22semidirect
192. C2×#14023C22semidirect
193. C2×#14016C22semidirect
194. C2×#13970C22semidirect
195. C2×#13970C22semidirect
196. C2×#13970C22semidirect
197. C2×#13967C22semidirect
198. C2×#13967C22semidirect
199. C2×#13967C22semidirect
200. C2×#13967C22semidirect
201. C2×#13967C22semidirect
202. C2×#13967C22semidirect
203. C2×#13956C22semidirect
204. C2×#13924C22semidirect
205. C2×#13916C22semidirect
206. C2×#13916C22semidirect
207. C2×#13894C22semidirect
208. C2×#13894C22semidirect
209. C2×#13872C22semidirect
210. C2×#13871C22semidirect
211. C2×#13869C22semidirect
212. C2×#13868C22semidirect
213. C2×#13867C22semidirect
214. C2×#13867C22semidirect
215. C2×C4×#393C22semidirect
216. C2×C4×#392C22semidirect
217. C2×#13839C22semidirect
218. C22×#1439C22semidirect
219. C22×#1438C22semidirect
220. C2×D4×#95C22semidirect
221. C2×D4×#95C22semidirect
222. C2×D4×#95C22semidirect
223. C2×C4×#381C22semidirect
224. C2×C4×#386C22semidirect
225. C22×C22⋊#95C22semidirect
228. C24×#41C23semidirect
239. C25×D4C23semidirect
243. C22×#555C23semidirect
244. C22×#553C23semidirect
245. C22×#553C23semidirect
246. C22×#554C23semidirect
247. C22×#550C23semidirect
248. C22×#546C23semidirect
249. C22×#546C23semidirect
250. C22×D42D4semidirect
253. C22×D42C23semidirect
254. C22×#540C23semidirect
255. C22×#538C23semidirect
256. C22×#532C23semidirect
257. C23×C4⋊Q8C23semidirect
260. C23×#127C23semidirect
261. C22×#529C23semidirect
262. C23×#126C23semidirect
263. C23×#126C23semidirect
264. C23×#125C23semidirect
265. C23×#125C23semidirect
266. C23×#124C23semidirect
267. C23×#124C23semidirect
268. C23×#124C23semidirect
269. C22×#525C23semidirect
271. C23×#123C23semidirect
272. C23×#123C23semidirect
273. C23×#123C23semidirect
275. C23×C22⋊Q8C23semidirect
276. C23×C22⋊Q8C23semidirect
286. C23×#121C23semidirect
287. C23×#121C23semidirect
288. C23×#121C23semidirect
289. C23×#121C23semidirect
290. C23×#121C23semidirect
291. C23×#121C23semidirect
292. C23×#121C23semidirect
293. C23×#121C23semidirect
306. C23×#120C23semidirect
307. C23×#120C23semidirect
308. C22×#518C23semidirect
309. C23×C4×Q8C23semidirect
310. C23×C4×D4D4semidirect
327. C23×C4×D4C23semidirect
328. C23×C4×D4C23semidirect
329. C23×C4×D4C23semidirect
330. C23×C4×D4C23semidirect
331. C23×C4×D4C23semidirect
332. C23×C4×D4C23semidirect
333. C23×#117C23semidirect
334. C23×#117C23semidirect
335. C23×#117C23semidirect
338. C24×C4⋊C4C23semidirect
354. C24×C22⋊C4C23semidirect
355. C24×C22⋊C4C23semidirect
356. C24×C22⋊C4C23semidirect
357. C24×C22⋊C4C23semidirect
360. C2×#2847C23semidirect
361. C2×#2846C23semidirect
362. C2×#2404C23semidirect
363. C2×#2404C23semidirect
364. C2×#2404C23semidirect
365. C2×#2433C23semidirect
366. C2×#2433C23semidirect
367. C2×#2408C23semidirect
368. C2×#2408C23semidirect
369. C2×#2410C23semidirect
370. C2×#2410C23semidirect
371. C2×#2403C23semidirect
372. C2×#2403C23semidirect
377. C22×#393C23semidirect
378. C22×#393C23semidirect
388. C22×#392C23semidirect
389. C22×#392C23semidirect
390. C22×#392C23semidirect
391. C22×#392C23semidirect
392. C22×#392C23semidirect
393. C22×#392C23semidirect
394. C22×#392C23semidirect
399. C2×D4×C22⋊C4C23semidirect
400. C2×D4×C22⋊C4C23semidirect
401. C2×D4×C22⋊C4C23semidirect
402. C2×D4×C22⋊C4C23semidirect
403. C2×D4×C22⋊C4C23semidirect
404. C2×C4×#120C23semidirect
415. C22×#390C23semidirect
416. C22×#390C23semidirect
417. C22×#390C23semidirect
418. C22×#390C23semidirect
443. C22×#386C23semidirect
444. C22×#386C23semidirect
445. C22×#386C23semidirect
446. C22×#386C23semidirect
447. C22×#386C23semidirect
448. C22×#386C23semidirect
449. C22×#386C23semidirect
450. C22×#386C23semidirect
451. C22×#386C23semidirect
452. C22×#386C23semidirect
453. C22×#386C23semidirect
454. C22×#386C23semidirect
459. C22×#381C23semidirect
460. C22×#381C23semidirect
466. C22×#380C23semidirect
467. C22×#380C23semidirect
477. C22×#379C23semidirect
478. C22×#379C23semidirect
485. C22×C4×C22⋊C4C23semidirect
486. C22×C4×C22⋊C4C23semidirect
490. C23×#95C23semidirect
491. C23×#95C23semidirect
492. C23×#95C23semidirect
493. #16655C23semidirect
494. #16654C23semidirect
495. #16633C23semidirect
496. #16509C23semidirect
497. #16509C23semidirect
498. #16258C23semidirect
499. #16258C23semidirect
500. #16258C23semidirect
501. #16004C23semidirect
502. #15948C23semidirect
503. #15909C23semidirect
504. #15412C23semidirect
505. #15368C23semidirect
506. #15314C23semidirect
507. #15273C23semidirect
508. #15273C23semidirect
509. #15270C23semidirect
510. #15259C23semidirect
511. #15257C23semidirect
512. #15257C23semidirect
513. #15229C23semidirect
514. #15216C23semidirect
515. #15157C23semidirect
516. #15144C23semidirect
517. #15142C23semidirect
518. #15125C23semidirect
519. #15124C23semidirect
520. #15124C23semidirect
521. #15123C23semidirect
522. #15123C23semidirect
523. #15091C23semidirect
524. #14917C23semidirect
525. #14916C23semidirect
526. #14915C23semidirect
527. #14915C23semidirect
528. #14914C23semidirect
529. #14913C23semidirect
530. #14913C23semidirect
531. #14913C23semidirect
532. #14912C23semidirect
533. #14911C23semidirect
534. #14911C23semidirect
535. #14911C23semidirect
536. #14888C23semidirect
537. #14885C23semidirect
538. #14811C23semidirect
539. #14759C23semidirect
540. #14759C23semidirect
541. #14757C23semidirect
542. #14717C23semidirect
543. #14717C23semidirect
544. #14717C23semidirect
545. #14717C23semidirect
547. #14716C23semidirect
548. #14716C23semidirect
549. #14716C23semidirect
550. #14716C23semidirect
551. #14716C23semidirect
552. #14716C23semidirect
553. #14716C23semidirect
554. #14716C23semidirect
555. #14716C23semidirect
556. #14716C23semidirect
557. #14716C23semidirect
558. #14716C23semidirect
559. #14715C23semidirect
560. #14715C23semidirect
561. #14698C23semidirect
562. #14694C23semidirect
563. #14685C23semidirect
564. #14681C23semidirect
565. #14257C23semidirect
566. #14255C23semidirect
567. #14175C23semidirect
568. #14137C23semidirect
569. #14136C23semidirect
570. #14134C23semidirect
571. #14134C23semidirect
572. #14025C23semidirect
573. #14025C23semidirect
574. #14025C23semidirect
575. #14023C23semidirect
576. #14023C23semidirect
577. #14023C23semidirect
578. #14016C23semidirect
579. #13970C23semidirect
580. #13970C23semidirect
581. #13970C23semidirect
582. #13967C23semidirect
583. #13967C23semidirect
584. #13967C23semidirect
585. #13967C23semidirect
586. #13967C23semidirect
587. #13967C23semidirect
588. #13956C23semidirect
589. #13924C23semidirect
590. #13916C23semidirect
591. #13916C23semidirect
592. #13894C23semidirect
593. #13894C23semidirect
594. #13872C23semidirect
595. #13871C23semidirect
596. #13869C23semidirect
597. #13868C23semidirect
598. #13867C23semidirect
599. #13867C23semidirect
600. C4×#393C23semidirect
601. C4×#392C23semidirect
602. C2×#1446C23semidirect
603. C2×#1446C23semidirect
604. C2×#1445C23semidirect
605. C2×#1444C23semidirect
606. C2×#1442C23semidirect
607. C2×#1442C23semidirect
608. C2×#1442C23semidirect
609. C2×#1442C23semidirect
610. C2×#1442C23semidirect
611. #13839C23semidirect
612. C2×#1441C23semidirect
613. C2×#1441C23semidirect
614. C2×#1441C23semidirect
615. C2×#1440C23semidirect
616. C2×#1440C23semidirect
617. C2×#1440C23semidirect
618. C2×#1440C23semidirect
619. C2×#1440C23semidirect
620. C2×#1440C23semidirect
621. C2×#1440C23semidirect
622. C2×#1440C23semidirect
631. C2×#1439C23semidirect
632. C2×#1439C23semidirect
633. C2×#1439C23semidirect
634. C2×#1439C23semidirect
635. C2×#1439C23semidirect
636. C2×#1439C23semidirect
637. C2×#1439C23semidirect
638. C2×#1439C23semidirect
639. C2×#1439C23semidirect
640. C2×#1439C23semidirect
641. C2×#1439C23semidirect
642. C2×#1439C23semidirect
643. C2×#1439C23semidirect
644. C2×#1439C23semidirect
645. C2×#1439C23semidirect
646. C2×#1439C23semidirect
654. C2×#1438C23semidirect
655. C2×#1438C23semidirect
656. C2×#1438C23semidirect
657. C2×#1438C23semidirect
658. C2×#1438C23semidirect
659. C2×#1438C23semidirect
660. C2×#1438C23semidirect
661. C2×#1438C23semidirect
662. C2×#1438C23semidirect
663. C2×#1438C23semidirect
664. C2×#1438C23semidirect
665. C2×#1438C23semidirect
666. C2×#1438C23semidirect
667. C2×#1438C23semidirect
668. C2×#1438C23semidirect
669. C2×#1438C23semidirect
670. C2×#1438C23semidirect
671. C2×#1438C23semidirect
672. C2×#1438C23semidirect
673. D4×#95C23semidirect
674. D4×#95C23semidirect
675. D4×#95C23semidirect
676. C4×#381C23semidirect
677. C4×#386C23semidirect
679. C2×#1437C23semidirect
680. C2×#1437C23semidirect
681. C2×#1437C23semidirect
682. C2×#1437C23semidirect
683. C2×#1436C23semidirect
684. C2×#1436C23semidirect
685. C2×C4⋊#95C23semidirect
686. C2×C4⋊#95C23semidirect
687. C2×C4⋊#95C23semidirect
688. C2×C4⋊#95C23semidirect
689. C2×C4⋊#95C23semidirect
690. C2×C4⋊#95C23semidirect
691. C2×C4⋊#95C23semidirect
692. C2×#1434C23semidirect
693. C2×#1434C23semidirect
694. C2×#1434C23semidirect
695. C2×#1434C23semidirect
704. C2×C22⋊#95C23semidirect
705. C2×C22⋊#95C23semidirect
706. C2×C22⋊#95C23semidirect
707. C2×C22⋊#95C23semidirect
708. C2×C22⋊#95C23semidirect
709. C2×C22⋊#95C23semidirect
710. C2×C22⋊#95C23semidirect
711. C2×C22⋊#95C23semidirect
712. C2×C22⋊#95C23semidirect
713. C2×C22⋊#95C23semidirect
714. C2×C22⋊#95C23semidirect
715. C2×C22⋊#95C23semidirect
716. C2×C22⋊#95C23semidirect
717. C2×C4×#95C23semidirect
718. C2×C4×#95C23semidirect
719. C2×C4×#95C23semidirect
728. C23×#41C24semidirect
734. C24×D4C2×D4semidirect
735. C24×D4#41semidirect
768. C24×D4C24semidirect
769. C25×C4C2×D4semidirect
794. C2×D42C2×D4semidirect
795. C22×C4⋊Q8C24semidirect
796. C22×#127C2×D4semidirect
799. C22×#127C24semidirect
800. C22×#126C24semidirect
801. C22×#126C24semidirect
802. C22×#125C24semidirect
803. C22×#125C24semidirect
804. C22×#124C24semidirect
805. C22×#124C24semidirect
806. C22×#124C24semidirect
808. C22×#123C24semidirect
809. C22×#123C24semidirect
810. C22×#123C24semidirect
812. C22×C22⋊Q8C24semidirect
813. C22×C22⋊Q8C24semidirect
814. C22×#121C2×D4semidirect
815. C22×#121C2×D4semidirect
816. C22×#121C2×D4semidirect
826. C22×#121C24semidirect
827. C22×#121C24semidirect
828. C22×#121C24semidirect
829. C22×#121C24semidirect
830. C22×#121C24semidirect
831. C22×#121C24semidirect
832. C22×#121C24semidirect
833. C22×#120C2×D4semidirect
834. C22×#120C2×D4semidirect
847. C22×#120C24semidirect
848. C22×C4×Q8C24semidirect
852. C22×C4×D4C2×D4semidirect
853. C22×C4×D4C2×D4semidirect
854. C22×C4×D4C2×D4semidirect
855. C22×C4×D4C2×D4semidirect
856. C22×C4×D4C2×D4semidirect
857. C22×C4×D4C2×D4semidirect
872. C22×C4×D4C24semidirect
873. C22×C4×D4C24semidirect
874. C22×C4×D4C24semidirect
875. C22×C4×D4C24semidirect
876. C22×C4×D4C24semidirect
877. C22×C4×D4C24semidirect
878. C22×#117C24semidirect
879. C22×#117C24semidirect
880. C22×#117C24semidirect
881. C23×C4⋊C4C2×D4semidirect
901. C23×C4⋊C4C24semidirect
902. C23×C22⋊C4C2×D4semidirect
974. C23×C22⋊C4C24semidirect
975. C23×C22⋊C4C24semidirect
976. C23×C22⋊C4C24semidirect
977. C23×C42C2×D4semidirect
993. C2×#393C24semidirect
994. C2×#393C24semidirect
1004. C2×#392C24semidirect
1005. C2×#392C24semidirect
1006. C2×#392C24semidirect
1007. C2×#392C24semidirect
1008. C2×#392C24semidirect
1009. C2×#392C24semidirect
1020. C2×#390C24semidirect
1021. C2×#390C24semidirect
1046. C2×#386C24semidirect
1047. C2×#386C24semidirect
1048. C2×#386C24semidirect
1049. C2×#386C24semidirect
1050. C2×#386C24semidirect
1051. C2×#386C24semidirect
1052. C2×#386C24semidirect
1053. C2×#386C24semidirect
1054. C2×#386C24semidirect
1059. C2×#381C24semidirect
1060. C2×#381C24semidirect
1066. C2×#380C24semidirect
1076. C2×#379C24semidirect
1083. C2×C4×C22⋊C4C24semidirect
1125. C22×#95C24semidirect
1126. C22×#95C24semidirect
1127. C22×#95C24semidirect
1128. #1446C24semidirect
1129. #1446C24semidirect
1130. #1445C24semidirect
1131. #1444C24semidirect
1132. #1442C24semidirect
1133. #1442C24semidirect
1134. #1442C24semidirect
1135. #1442C24semidirect
1136. #1442C24semidirect
1137. #1441C24semidirect
1138. #1441C24semidirect
1139. #1441C24semidirect
1140. #1440C24semidirect
1141. #1440C24semidirect
1142. #1440C24semidirect
1143. #1440C24semidirect
1144. #1440C24semidirect
1145. #1440C24semidirect
1146. #1440C24semidirect
1147. #1440C24semidirect
1156. #1439C24semidirect
1157. #1439C24semidirect
1158. #1439C24semidirect
1159. #1439C24semidirect
1160. #1439C24semidirect
1161. #1439C24semidirect
1162. #1439C24semidirect
1163. #1439C24semidirect
1164. #1439C24semidirect
1165. #1439C24semidirect
1166. #1439C24semidirect
1167. #1439C24semidirect
1168. #1439C24semidirect
1169. #1439C24semidirect
1170. #1439C24semidirect
1178. #1438C24semidirect
1179. #1438C24semidirect
1180. #1438C24semidirect
1181. #1438C24semidirect
1182. #1438C24semidirect
1183. #1438C24semidirect
1184. #1438C24semidirect
1185. #1438C24semidirect
1186. #1438C24semidirect
1187. #1438C24semidirect
1188. #1438C24semidirect
1189. #1438C24semidirect
1190. #1438C24semidirect
1191. #1438C24semidirect
1192. #1438C24semidirect
1193. #1438C24semidirect
1194. #1438C24semidirect
1195. #1438C24semidirect
1197. #1437C24semidirect
1198. #1437C24semidirect
1199. #1437C24semidirect
1200. #1437C24semidirect
1201. #1436C24semidirect
1202. #1436C24semidirect
1203. C4⋊#95C24semidirect
1204. C4⋊#95C24semidirect
1205. C4⋊#95C24semidirect
1206. C4⋊#95C24semidirect
1207. C4⋊#95C24semidirect
1208. C4⋊#95C24semidirect
1209. C4⋊#95C24semidirect
1210. #1434C24semidirect
1211. #1434C24semidirect
1212. #1434C24semidirect
1213. #1434C24semidirect
1222. C22⋊#95C24semidirect
1223. C22⋊#95C24semidirect
1224. C22⋊#95C24semidirect
1225. C22⋊#95C24semidirect
1226. C22⋊#95C24semidirect
1227. C22⋊#95C24semidirect
1228. C22⋊#95C24semidirect
1229. C22⋊#95C24semidirect
1230. C22⋊#95C24semidirect
1231. C22⋊#95C24semidirect
1232. C22⋊#95C24semidirect
1233. C22⋊#95C24semidirect
1234. C4×#95C24semidirect
1235. C4×#95C24semidirect
1236. C4×#95C24semidirect
1274. C23×D4C22×D4semidirect
1278. C23×D4C2×#41semidirect
1314. C24×C4C22×D4semidirect
1356. C2×#127C22×D4semidirect
1357. C2×#121C22×D4semidirect
1358. C2×#121C22×D4semidirect
1359. C2×#121C22×D4semidirect
1360. C2×#120C22×D4semidirect
1361. C2×#120C22×D4semidirect
1365. C2×C4×D4C22×D4semidirect
1366. C2×C4×D4C22×D4semidirect
1367. C2×C4×D4C22×D4semidirect
1368. C2×C4×D4C22×D4semidirect
1369. C2×C4×D4C22×D4semidirect
1375. C22×C4⋊C4C22×D4semidirect
1402. C22×C22⋊C4C22×D4semidirect
1466. C22×C42C22×D4semidirect
1653. C24#3519semidirect
1681. C2×D4#2404semidirect
1733. C23C2×#3519semidirect
1754. D4C2×#2404semidirect
1793. C2#72232042direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#6703182
C2×#6367912
C2×#5204772
C2×#6367952
C2×#6889772
C2×#6079582
C2×#43065322
C2×#7797022
C2×#7773252
C2×#6564152
C2×#6139562
C2×#7597332
C2×#6477172
C2×#7797052
C2×D4×#3862
C2×#7601562
C23×#35192
C2×#6889682
C23×D4×C22⋊C42
C22×#147162
C2×#6124252
C2×#7773142
C2×#6476572
C2×#5180192
#722320422
C2×D4×#3922
C22×D4×#1202