Finite Group Databasebeta

← #31733399

Subgroups — #31733399

Order 17152.

2286 conjugacy classes of subgroups.

The subgroup lattice has 1930 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22573933C211yesmaximal, characteristic, complemented
2#22573837C211yesmaximal, characteristic, complemented
3#22572450C211yesmaximal, characteristic, complemented
4#22572444C211yesmaximal, characteristic, complemented
5#22572415C211yesmaximal, characteristic, complemented
6#22572413C211yesmaximal, characteristic, complemented
7#22572371C211yesmaximal, characteristic, complemented
8#22572362C211yesmaximal, characteristic, complemented
9#22572357C211yesmaximal, characteristic, complemented
10#22572356C211yesmaximal, characteristic, complemented
11#22572350C211yesmaximal, characteristic, complemented
12#22572346C211yesmaximal, characteristic, complemented
13#22572166C211yesmaximal, characteristic, complemented
14#22572164C211yesmaximal, characteristic, complemented
15#22572063C211yesmaximal, characteristic, complemented
16#22572061C211yesmaximal, characteristic, complemented
17#22572020C211yesmaximal, characteristic, complemented
18#22570558C211yesmaximal, characteristic, complemented
19#22570160C211yesmaximal, characteristic, complemented
20#22570117C211yesmaximal, characteristic, complemented
21#22570033C211yesmaximal, characteristic, complemented
22#22569852C211yesmaximal, characteristic, complemented
23#22569825C211yesmaximal, characteristic, complemented
24#22569707C211yesmaximal, characteristic, complemented
25#22569472C211yesmaximal, characteristic, complemented
26#447×D67C211yesmaximal, characteristic, complemented
27#22569056C211yesmaximal, characteristic, complemented
28#22568929C211yesmaximal, characteristic, complemented
29#22568730C211yesmaximal, characteristic, complemented
30C2×#16863399C211yesmaximal, characteristic, complemented
31C67×#3294C211yesmaximal, characteristic, complemented
32C2×#14524088C2211yescharacteristic
33C22×D4×D67C2211yescharacteristic
34C2×#14524067C2211yescharacteristic, complemented
35C2×D8×D67C2211yescharacteristic
36C2×D8×D67C2211yescharacteristic, complemented
37C2×#14524049C2211yescharacteristic, complemented
38C22×#11761611C2211yescharacteristic, complemented
39#16864112C2211yescharacteristic, complemented
40#16864110C2211yescharacteristic, complemented
41#16864098C2211yescharacteristic, complemented
42#16864096C2211yescharacteristic, complemented
43#16864094C2211yescharacteristic, complemented
44#16864092C2211yescharacteristic, complemented
45#16864074—21no—
46#16864073—21no—
47#16864047C2211yescharacteristic, complemented
48#16864043C2211yescharacteristic, complemented
49#16864042C2211yescharacteristic, complemented
50#16864041C2211yescharacteristic, complemented
51#16864040C2211yescharacteristic, complemented
52#16864038—21no—
53#16864035—21no—
54#16864034—21no—
55#16864033—21no—
56#16864031C2211yescharacteristic, complemented
57#16864030C2211yescharacteristic, complemented
58D4×C22⋊D67—21no—
59D4×C22⋊D67C2211yescharacteristic, complemented
60#16864028—21no—
61#16864023C2211yescharacteristic, complemented
62#16864016—21no—
63#16863998—21no—
64#16863962C2211yescharacteristic
65#16863962C2211yescharacteristic, complemented
66#16863959C2211yescharacteristic
67#16863956—21no—
68#16863954—21no—
69#16863942—21no—
70#16863923—21no—
71#16863906C2211yescharacteristic
72#16863905C2211yescharacteristic
73#121×D67C2211yescharacteristic, complemented
74C2×#14524011—21no—
75#120×D67—21no—
76#16863877C2211yescharacteristic, complemented
77#16863868C2211yescharacteristic
78#16863868C2211yescharacteristic, complemented
79C2×#14524001C2211yescharacteristic, complemented
80#16863760C2211yescharacteristic, complemented
81#16863759C2211yescharacteristic, complemented
82#16863758C2211yescharacteristic, complemented
83#16863754C2211yescharacteristic, complemented
84#16863751C2211yescharacteristic, complemented
85#16863749C2211yescharacteristic, complemented
86#16863741C2211yescharacteristic, complemented
87#16863739C2211yescharacteristic, complemented
88#16863739C2211yescharacteristic, complemented
89#16863732C2211yescharacteristic, complemented
90#16863726C2211yescharacteristic, complemented
91#16863723C2211yescharacteristic, complemented
92#16863721C2211yescharacteristic, complemented
93#16863718C2211yescharacteristic, complemented
94#16863718C2211yescharacteristic, complemented
95#16863718C2211yescharacteristic, complemented
96#16863717C2211yescharacteristic, complemented
97#16863714C2211yescharacteristic, complemented
98#16863713C2211yescharacteristic, complemented
99#16863712C2211yescharacteristic, complemented
100#16863711C2211yescharacteristic, complemented
101#16863699C2211yescharacteristic, complemented
102#16863697C2211yescharacteristic, complemented
103#16863696C2211yescharacteristic, complemented
104#16863694C2211yescharacteristic, complemented
105#16863684C2211yescharacteristic, complemented
106#16863683C2211yescharacteristic, complemented
107#16863675C2211yescharacteristic, complemented
108#16863648C2211yescharacteristic, complemented
109#16863648C2211yescharacteristic, complemented
110#16863648C2211yescharacteristic, complemented
111#16863647C2211yescharacteristic, complemented
112#16863647C2211yescharacteristic, complemented
113#16863646C2211yescharacteristic, complemented
114#16863643C2211yescharacteristic, complemented
115#16863641C2211yescharacteristic, complemented
116#16863633C2211yescharacteristic, complemented
117#16863632C2211yescharacteristic, complemented
118#16863630C2211yescharacteristic, complemented
119#16863629C2211yescharacteristic, complemented
120#16863625C2211yescharacteristic, complemented
121#16863623C2211yescharacteristic, complemented
122#16863612C2211yescharacteristic, complemented
123#16863611C2211yescharacteristic, complemented
124#16863610C2211yescharacteristic, complemented
125#16863609C2211yescharacteristic, complemented
126#16863590C2211yescharacteristic, complemented
127#16863589C2211yescharacteristic, complemented
128#16863588C2211yescharacteristic, complemented
129#16863543C2211yescharacteristic, complemented
130#16863542C2211yescharacteristic, complemented
131#16863539C2211yescharacteristic, complemented
132#16863538C2211yescharacteristic, complemented
133#16863532C2211yescharacteristic, complemented
134#16863531C2211yescharacteristic, complemented
135#16863531C2211yescharacteristic, complemented
136#16863531C2211yescharacteristic, complemented
137#16863530C2211yescharacteristic, complemented
138#16863530C2211yescharacteristic, complemented
139#16863529C2211yescharacteristic, complemented
140#16863528C2211yescharacteristic, complemented
141#16863528C2211yescharacteristic, complemented
142#16863528C2211yescharacteristic, complemented
143#16863506C2211yescharacteristic, complemented
144#16863506C2211yescharacteristic, complemented
145#16863505C2211yescharacteristic, complemented
146#16863505C2211yescharacteristic, complemented
147C4×D536C2211yescharacteristic, complemented
148D8×Dic67C2211yescharacteristic, complemented
149#16863478C2211yescharacteristic, complemented
150#16863475C2211yescharacteristic, complemented
151#16863471C2211yescharacteristic, complemented
152#16863468C2211yescharacteristic, complemented
153#16863467C2211yescharacteristic, complemented
154#16863467C2211yescharacteristic, complemented
155#16863466C2211yescharacteristic, complemented
156(C22⋊D67)⋊C8C2211yescharacteristic, complemented
157#16863437C2211yescharacteristic, complemented
158#16863433C2211yescharacteristic, complemented
159#16863433C2211yescharacteristic, complemented
160#16863421C2211yescharacteristic, complemented
161#16863401C2211yescharacteristic, complemented
162#16863399C2211yescharacteristic
163#16863399C2211yescharacteristic
164#16863399C2211yescharacteristic, complemented
165#16863399C2211yescharacteristic, complemented
166#16863399C2211yescharacteristic, complemented
167#16863399C2211yescharacteristic, complemented
168#16863399C2211yescharacteristic, complemented
169#16863399C2211yescharacteristic, complemented
170#16863399C2211yescharacteristic, complemented
171#16863399C2211yescharacteristic, complemented
172#16863395C2211yescharacteristic, complemented
173#16863394C2211yescharacteristic, complemented
174#16863394C2211yescharacteristic, complemented
175#16863393C2211yescharacteristic, complemented
176#16863389C2211yescharacteristic, complemented
177#16863389C2211yescharacteristic, complemented
178#16863389C2211yescharacteristic, complemented
179C2×#14523965C2211yescharacteristic, complemented
180C2×#14523964C2211yescharacteristic, complemented
181C2×#14523963C2211yescharacteristic, complemented
182#102×D67C2211yescharacteristic
183#102×D67C2211yescharacteristic, complemented
184#102×D67C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186C22⋊C8×D67C2211yescharacteristic, complemented
187#16863350C2211yescharacteristic, complemented
188#547×C67C2211yescharacteristic, complemented
189D42×C67C2211yescharacteristic, complemented
190#486×C67C2211yescharacteristic, complemented
191#480×C67C2211yescharacteristic, complemented
192#480×C67C2211yescharacteristic, complemented
193#474×C67C2211yescharacteristic, complemented
194#466×C67C2211yescharacteristic, complemented
195#466×C67C2211yescharacteristic, complemented
196#459×C67C2211yescharacteristic, complemented
197#447×C67C2211yescharacteristic, complemented
198#447×C67C2211yescharacteristic, complemented
199C4×D8×C67C2211yescharacteristic, complemented
200C8×D4×C67C2211yescharacteristic, complemented
201C2×#102×C67C2211yescharacteristic, complemented
202C2×#102×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524088—24no—
205#14524088—42no—
206C2×#11761628—21no—
207C2×#11761628C2311yescharacteristic
208C2×#11761628C2311yescharacteristic
209C2×#11761627—21no—
210C2×#11761627C2311yescharacteristic
211C2×#11761627C2311yescharacteristic
212C22×D268C2311yescharacteristic
213C22×C22⋊D67—21no—
214C22×C22⋊D67—21no—
215C22×C22⋊D67—21no—
216C22×C22⋊D67—21no—
217C2×D4×D67—24no—
218C2×D4×D67—21no—
219C2×D4×D67—21no—
220C2×D4×D67—21no—
221C2×D4×D67—21no—
222C2×D4×D67—21no—
223C2×D4×D67—21no—
224C2×D4×D67—42no—
225C2×D4×D67C2311yescharacteristic
226C2×D4×D67C2311yescharacteristic
227C2×D4×D67C2311yescharacteristic
228C2×D4×D67C2311yescharacteristic
229C2×D4×D67C2311yescharacteristic
230C2×D4×D67C2311yescharacteristic
231C22×C4×D67C2311yescharacteristic
232#14524067—42no—
233C2×#11761617C2311yescharacteristic, complemented
234C2×#11761616C2311yescharacteristic, complemented
235C2×D536C2311yescharacteristic
236C2×D536C2311yescharacteristic
237C2×#11761613C2311yescharacteristic
238C2×#11761613C2311yescharacteristic
239C2×#11761613C2311yescharacteristic
240C2×#11761613C2311yescharacteristic
241C2×#11761613C2311yescharacteristic, complemented
242D8×D67—24no—
243D8×D67—42no—
244#14524049—42no—
245C2×#11761612C2311yescharacteristic, complemented
246C2×#11761611—42no—
247C2×#11761611C2311yescharacteristic
248C2×#11761611C2311yescharacteristic
249C2×#11761611C2311yescharacteristic
250C2×#11761611C2311yescharacteristic
251C2×#11761611C2311yescharacteristic, complemented
252C22×C67⋊C8C2311yescharacteristic
253C2×C8×D67C2311yescharacteristic
254C2×C8×D67C2311yescharacteristic
255C2×C8×D67C2311yescharacteristic, complemented
256#14524042C2311yescharacteristic, complemented
257#14524041—21no—
258#14524039—21no—
259#14524039—21no—
260#14524039C2311yescharacteristic
261#14524038—21no—
262#14524038—21no—
263#14524036—21no—
264#14524036—21no—
265#14524035C2311yescharacteristic, complemented
266#14524034C2311yescharacteristic, complemented
267#14524033—21no—
268#14524032—21no—
269#14524032—21no—
270#14524031C2311yescharacteristic
271#14524030—21no—
272#14524030C2311yescharacteristic
273#14524029—21no—
274#14524029—21no—
275#14524029—21no—
276#14524028—21no—
277#14524028—21no—
278#14524028—21no—
279#14524028D411yescharacteristic
280#14524027—21no—
281#14524027—21no—
282#14524026—21no—
283#14524026—21no—
284#14524025—21no—
285#14524025—21no—
286#14524025—21no—
287#14524025D411yescharacteristic
288#14524024—21no—
289#14524023C2311yescharacteristic
290#14524022C2311yescharacteristic
291#14524021—21no—
292#14524021—21no—
293#14524021D411yescharacteristic
294#14524020D411yescharacteristic
295#14524019—21no—
296#14524018—21no—
297#14524018C2311yescharacteristic
298#14524018C2311yescharacteristic
299#14524018C2311yescharacteristic, complemented
300#14524017—21no—
301#14524017—21no—
302#14524017C2311yescharacteristic
303#14524017C2311yescharacteristic
304#14524017C2311yescharacteristic, complemented
305#14524016—21no—
306#14524016—21no—
307#14524016—21no—
308#14524016—21no—
309#14524016D411yescharacteristic
310#14524015—21no—
311#14524015—21no—
312#14524015—21no—
313#14524015—21no—
314#14524015—21no—
315#14524015—21no—
316#14524015—21no—
317#14524015—21no—
318#14524015D411yescharacteristic
319#14524014—21no—
320#14524014—21no—
321#14524014C2311yescharacteristic
322#14524014C2311yescharacteristic
323#14524014C2311yescharacteristic
324#14524014C2311yescharacteristic, complemented
325#14524013—21no—
326#14524013—21no—
327#14524013—21no—
328#14524013—21no—
329#14524013D411yescharacteristic
330#14524012—21no—
331#14524012—21no—
332#14524011—21no—
333#14524011—21no—
334#14524011—21no—
335#14524011—21no—
336#14524011—21no—
337#14524011—21no—
338#14524011—21no—
339#14524011—21no—
340#14524011—21no—
341#14524011—21no—
342#14524011—21no—
343#14524011D411yescharacteristic
344#14524008—21no—
345C4×D268C2311yescharacteristic
346C4×D268C2311yescharacteristic
347C4×D268C2311yescharacteristic, complemented
348D4×Dic67—21no—
349D4×Dic67—21no—
350D4×Dic67C2311yescharacteristic
351D4×Dic67C2311yescharacteristic, complemented
352#14524005—21no—
353#14524005C2311yescharacteristic
354#14524005C2311yescharacteristic, complemented
355C4×C22⋊D67—21no—
356C4×C22⋊D67—21no—
357C4×C22⋊D67—21no—
358C4×C22⋊D67—21no—
359C4×C22⋊D67—21no—
360C4×C22⋊D67—21no—
361C4×C22⋊D67C2311yescharacteristic
362C4×C22⋊D67C2311yescharacteristic
363(C22⋊D67)⋊C4—21no—
364(C22⋊D67)⋊C4—21no—
365(C22⋊D67)⋊C4—21no—
366(C22⋊D67)⋊C4—21no—
367#14524002C2311yescharacteristic, complemented
368#14524001—21no—
369#14524001—21no—
370#14524001—21no—
371#14524001C2311yescharacteristic
372#14524001C2311yescharacteristic
373#14524001C2311yescharacteristic
374#14524001C2311yescharacteristic
375#14524001C2311yescharacteristic
376#14524001C2311yescharacteristic, complemented
377#14524000C2311yescharacteristic
378#14523999—21no—
379C2×C4⋊Dic67C2311yescharacteristic
380C4⋊C4×D67C2311yescharacteristic
381C4⋊C4×D67C2311yescharacteristic, complemented
382C2×C22⋊Dic67—21no—
383C2×(C2×D67)⋊C4—21no—
384C2×(C2×D67)⋊C4—21no—
385C2×(C2×D67)⋊C4—21no—
386C2×(C2×D67)⋊C4—21no—
387C22⋊C4×D67—21no—
388C22⋊C4×D67—21no—
389C22⋊C4×D67—21no—
390C22⋊C4×D67—21no—
391C22⋊C4×D67—21no—
392C2×C4×Dic67—21no—
393#14523977C2311yescharacteristic, complemented
394#14523977C2311yescharacteristic, complemented
395#14523976C2311yescharacteristic, complemented
396#14523975C2311yescharacteristic, complemented
397#14523974C2311yescharacteristic, complemented
398#14523974C2311yescharacteristic, complemented
399#14523974C2311yescharacteristic, complemented
400#14523974C2311yescharacteristic, complemented
401#14523974C2311yescharacteristic, complemented
402C4⋊(C67⋊C8)C2311yescharacteristic, complemented
403Dic67⋊C8C2311yescharacteristic, complemented
404Dic67⋊C8C2311yescharacteristic, complemented
405#14523968C2311yescharacteristic, complemented
406#14523968C2311yescharacteristic, complemented
407#14523968C2311yescharacteristic, complemented
408#14523966C2311yescharacteristic, complemented
409#14523966C2311yescharacteristic, complemented
410#14523966C2311yescharacteristic, complemented
411#14523965C2311yescharacteristic
412#14523965C2311yescharacteristic
413#14523965C2311yescharacteristic
414#14523965C2311yescharacteristic
415#14523965C2311yescharacteristic
416#14523965C2311yescharacteristic
417#14523965C2311yescharacteristic, complemented
418#14523964C2311yescharacteristic
419#14523964C2311yescharacteristic
420#14523964C2311yescharacteristic
421#14523964C2311yescharacteristic
422#14523964C2311yescharacteristic
423#14523964C2311yescharacteristic
424#14523964C2311yescharacteristic, complemented
425#14523964C2311yescharacteristic, complemented
426#14523964C2311yescharacteristic, complemented
427#14523964C2311yescharacteristic, complemented
428#14523963C2311yescharacteristic
429#14523963C2311yescharacteristic
430#14523963C2311yescharacteristic
431#14523963C2311yescharacteristic
432#14523963C2311yescharacteristic
433#14523963C2311yescharacteristic
434#14523963C2311yescharacteristic, complemented
435C22⋊(C67⋊C8)C2311yescharacteristic
436C22⋊(C67⋊C8)C2311yescharacteristic, complemented
437(C2×D67)⋊C8C2311yescharacteristic
438(C2×D67)⋊C8C2311yescharacteristic
439(C2×D67)⋊C8C2311yescharacteristic, complemented
440(C2×D67)⋊C8C2311yescharacteristic, complemented
441#14523954C2311yescharacteristic, complemented
442#14523953C2311yescharacteristic, complemented
443C8×Dic67C2311yescharacteristic, complemented
444C2×#41×C67—21no—
445C22×D4×C67—21no—
446C22×D4×C67C2311yescharacteristic
447C22×D4×C67C2311yescharacteristic
448C2×D8×C67C2311yescharacteristic
449C2×D8×C67C2311yescharacteristic
450C2×D8×C67C2311yescharacteristic, complemented
451C22×C8×C67C2311yescharacteristic
452C22×C8×C67C2311yescharacteristic, complemented
453C4⋊Q8×C67C2311yescharacteristic, complemented
454#127×C67C2311yescharacteristic
455#123×C67—21no—
456#123×C67—21no—
457C22⋊Q8×C67—21no—
458#121×C67—21no—
459#121×C67C2311yescharacteristic
460#121×C67C2311yescharacteristic
461#121×C67C2311yescharacteristic
462#121×C67C2311yescharacteristic, complemented
463#120×C67—21no—
464#120×C67—21no—
465C4×D4×C67C2311yescharacteristic
466C4×D4×C67C2311yescharacteristic
467C4×D4×C67C2311yescharacteristic, complemented
468C2×C4⋊C4×C67C2311yescharacteristic
469C2×C4⋊C4×C67C2311yescharacteristic, complemented
470#107×C67C2311yescharacteristic, complemented
471#107×C67C2311yescharacteristic, complemented
472#107×C67C2311yescharacteristic, complemented
473C4⋊C8×C67C2311yescharacteristic, complemented
474#102×C67C2311yescharacteristic
475#102×C67C2311yescharacteristic
476#102×C67C2311yescharacteristic
477#102×C67C2311yescharacteristic
478#102×C67C2311yescharacteristic
479#102×C67C2311yescharacteristic
480#102×C67C2311yescharacteristic, complemented
481#102×C67C2311yescharacteristic, complemented
482#102×C67C2311yescharacteristic, complemented
483#102×C67C2311yescharacteristic, complemented
484C22⋊C8×C67C2311yescharacteristic
485C22⋊C8×C67C2311yescharacteristic, complemented
486C4×C8×C67C2311yescharacteristic, complemented
487C23×D67—21no—
488C23×D67—21no—
489C23×D67—21no—
490C23×D67—21no—
491C23×D67—21no—
492C23×D67—21no—
493C23×D67—21no—
494C23×D67—44no—
495C23×D67—82no—
496C23×D67—82no—
497C23×D67C2×D411yescharacteristic
498#11761628—22no—
499#11761628—22no—
500#11761628—22no—
501#11761628—41no—
502#11761628—82no—
503#11761627—22no—
504#11761627—22no—
505#11761627—22no—
506#11761627—41no—
507#11761627—44no—
508C2×Dic134—21no—
509C2×Dic134C2×D411yescharacteristic
510C2×Dic134C2411yescharacteristic
511C2×D268—22no—
512C2×D268—21no—
513C2×D268—21no—
514C2×D268—21no—
515C2×D268—21no—
516C2×D268—41no—
517C2×D268C2×D411yescharacteristic
518C2×D268C2×D411yescharacteristic
519C2×D268C2411yescharacteristic
520C2×D268C2411yescharacteristic
521C2×D268C2411yescharacteristic
522C2×C22⋊D67—21no—
523C2×C22⋊D67—21no—
524C2×C22⋊D67—21no—
525C2×C22⋊D67—21no—
526C2×C22⋊D67—21no—
527C2×C22⋊D67—21no—
528C2×C22⋊D67—21no—
529C2×C22⋊D67—21no—
530C2×C22⋊D67—21no—
531C2×C22⋊D67—21no—
532C2×C22⋊D67—21no—
533C2×C22⋊D67—21no—
534C2×C22⋊D67—21no—
535C2×C22⋊D67—21no—
536C2×C22⋊D67—21no—
537C2×C22⋊D67—21no—
538C2×C22⋊D67—21no—
539C2×C22⋊D67—21no—
540C2×C22⋊D67—44no—
541C2×C22⋊D67—44no—
542C2×C22⋊D67—44no—
543C2×C22⋊D67—82no—
544C2×C22⋊D67C2×D411yescharacteristic
545C2×C22⋊D67C2×D411yescharacteristic
546C2×C22⋊D67C2×D411yescharacteristic
547C2×C22⋊D67C2×D411yescharacteristic
548D4×D67—22no—
549D4×D67—22no—
550D4×D67—22no—
551D4×D67—22no—
552D4×D67—22no—
553D4×D67—22no—
554D4×D67—22no—
555D4×D67—22no—
556D4×D67—41no—
557D4×D67—41no—
558D4×D67—41no—
559D4×D67—44no—
560D4×D67—44no—
561D4×D67—44no—
562D4×D67—82no—
563D4×D67—82no—
564D4×D67—82no—
565D4×D67#4114yescomplemented
566C22×Dic67—21no—
567C22×Dic67—21no—
568C22×Dic67—21no—
569C22×Dic67—21no—
570C22×Dic67—21no—
571C22×Dic67C2×D411yescharacteristic
572C2×C4×D67—22no—
573C2×C4×D67—22no—
574C2×C4×D67—21no—
575C2×C4×D67—21no—
576C2×C4×D67—21no—
577C2×C4×D67—21no—
578C2×C4×D67—21no—
579C2×C4×D67—21no—
580C2×C4×D67—21no—
581C2×C4×D67C2×D411yescharacteristic
582C2×C4×D67C2×D411yescharacteristic
583C2×C4×D67C2411yescharacteristic
584C2×C4×D67C2411yescharacteristic
585C2×C4×D67C2411yescharacteristic
586#11761617—41no—
587#11761616—41no—
588D536—22no—
589D536—41no—
590#11761613—22no—
591#11761613—22no—
592#11761613—41no—
593#11761613—41no—
594#11761613—41no—
595#11761612—41no—
596#11761611—22no—
597#11761611—22no—
598#11761611—41no—
599#11761611—41no—
600#11761611—41no—
601C2×C67⋊C8—41no—
602C2×C67⋊C8C2411yescharacteristic
603C2×C67⋊C8C2411yescharacteristic
604C2×C67⋊C8C2411yescharacteristic
605C2×C67⋊C8C2411yescharacteristic
606C8×D67—22no—
607C8×D67—22no—
608C8×D67—41no—
609C4⋊Dic67—21no—
610C4⋊Dic67—21no—
611C4⋊Dic67—21no—
612C4⋊Dic67C2×D411yescharacteristic
613C4⋊Dic67C2411yescharacteristic
614C4⋊Dic67C2411yescharacteristic
615C4⋊Dic67C2411yescharacteristic
616C4⋊Dic67C2411yescharacteristic
617Dic67⋊C4—21no—
618Dic67⋊C4—21no—
619Dic67⋊C4—21no—
620Dic67⋊C4—21no—
621Dic67⋊C4—21no—
622Dic67⋊C4—21no—
623Dic67⋊C4—21no—
624Dic67⋊C4C2×D411yescharacteristic
625Dic67⋊C4C2×D411yescharacteristic
626Dic67⋊C4C2×D411yescharacteristic
627Dic67⋊C4C2×D411yescharacteristic
628C22⋊Dic67—21no—
629C22⋊Dic67—21no—
630C22⋊Dic67—21no—
631C22⋊Dic67—21no—
632C22⋊Dic67—21no—
633C22⋊Dic67—21no—
634C22⋊Dic67—21no—
635C22⋊Dic67—21no—
636C22⋊Dic67—21no—
637C22⋊Dic67—21no—
638C22⋊Dic67C2×D411yescharacteristic
639C22⋊Dic67C2×D411yescharacteristic
640(C2×D67)⋊C4—21no—
641(C2×D67)⋊C4—21no—
642(C2×D67)⋊C4—21no—
643(C2×D67)⋊C4—21no—
644(C2×D67)⋊C4—21no—
645(C2×D67)⋊C4—21no—
646(C2×D67)⋊C4—21no—
647(C2×D67)⋊C4—21no—
648(C2×D67)⋊C4—21no—
649(C2×D67)⋊C4—21no—
650(C2×D67)⋊C4—21no—
651(C2×D67)⋊C4—21no—
652(C2×D67)⋊C4—21no—
653(C2×D67)⋊C4—21no—
654(C2×D67)⋊C4—21no—
655(C2×D67)⋊C4—21no—
656(C2×D67)⋊C4—21no—
657(C2×D67)⋊C4—21no—
658(C2×D67)⋊C4—21no—
659(C2×D67)⋊C4C2×D411yescharacteristic
660(C2×D67)⋊C4C2×D411yescharacteristic
661(C2×D67)⋊C4C2×D411yescharacteristic
662(C2×D67)⋊C4C2×D411yescharacteristic
663(C2×D67)⋊C4C2×D411yescharacteristic
664(C2×D67)⋊C4C2×D411yescharacteristic
665C4×Dic67—21no—
666C4×Dic67—21no—
667C4×Dic67—21no—
668C4×Dic67—21no—
669C4×Dic67—21no—
670C4×Dic67—21no—
671C4×Dic67—21no—
672C4×Dic67C2411yescharacteristic
673C24×C67—21no—
674C24×C67—21no—
675#41×C67—82no—
676C2×Q8×C67—21no—
677C2×D4×C67—22no—
678C2×D4×C67—22no—
679C2×D4×C67—21no—
680C2×D4×C67—21no—
681C2×D4×C67—21no—
682C2×D4×C67—21no—
683C2×D4×C67—21no—
684C2×D4×C67—21no—
685C2×D4×C67—21no—
686C2×D4×C67—21no—
687C2×D4×C67—41no—
688C2×D4×C67—41no—
689C2×D4×C67—82no—
690C2×D4×C67C2×D411yescharacteristic
691C2×D4×C67C2411yescharacteristic
692C2×D4×C67C2411yescharacteristic
693C2×D4×C67C2411yescharacteristic
694C2×D4×C67C2411yescharacteristic
695C22×C4×C67—21no—
696C22×C4×C67—21no—
697C22×C4×C67—21no—
698C22×C4×C67—21no—
699C22×C4×C67C2411yescharacteristic
700C22×C4×C67C2411yescharacteristic
701D8×C67—22no—
702D8×C67—41no—
703D8×C67—41no—
704C2×C8×C67—41no—
705C2×C8×C67—41no—
706C2×C8×C67C2411yescharacteristic
707C2×C8×C67C2411yescharacteristic
708C2×C8×C67C2411yescharacteristic
709C2×C8×C67C2411yescharacteristic
710C4⋊C4×C67—21no—
711C4⋊C4×C67—21no—
712C4⋊C4×C67—21no—
713C4⋊C4×C67C2×D411yescharacteristic
714C4⋊C4×C67C2411yescharacteristic
715C4⋊C4×C67C2411yescharacteristic
716C4⋊C4×C67C2411yescharacteristic
717C4⋊C4×C67C2411yescharacteristic
718C22⋊C4×C67—21no—
719C22⋊C4×C67—21no—
720C22⋊C4×C67—21no—
721C22⋊C4×C67—21no—
722C22⋊C4×C67—21no—
723C22⋊C4×C67—21no—
724C22⋊C4×C67C2×D411yescharacteristic
725C22⋊C4×C67C2×D411yescharacteristic
726C42×C67C2411yescharacteristic
727C23×C67—21no—
728C23×C67—21no—
729C23×C67—21no—
730C23×C67—21no—
731C23×C67—42no—
732C23×C67—42no—
733C23×C67—42no—
734C23×C67—81no—
735C23×C67—81no—
736C23×C67—81no—
737C23×C67C22×D411yescharacteristic
738C23×C67C22×D411yescharacteristic
739C22×D67—22no—
740C22×D67—21no—
741C22×D67—22no—
742C22×D67—24no—
743C22×D67—21no—
744C22×D67—21no—
745C22×D67—41no—
746C22×D67—42no—
747C22×D67—42no—
748C22×D67—42no—
749C22×D67—42no—
750C22×D67—42no—
751C22×D67—42no—
752C22×D67—42no—
753C22×D67—42no—
754C22×D67—42no—
755C22×D67—81no—
756C22×D67—81no—
757C22×D67—81no—
758C22×D67—81no—
759C22×D67—81no—
760C22×D67—81no—
761C22×D67—81no—
762C22×D67—81no—
763C22×D67—81no—
764C22×D67—81no—
765C22×D67—81no—
766C22×D67—816no—
767C22×D67C22×D411yescharacteristic
768C22×D67C22×D411yescharacteristic
769C22×D67C22×D411yescharacteristic
770Q8×C67—81no—
771D4×C67—22no—
772D4×C67—21no—
773D4×C67—21no—
774D4×C67—21no—
775D4×C67—21no—
776D4×C67—21no—
777D4×C67—21no—
778D4×C67—21no—
779D4×C67—42no—
780D4×C67—42no—
781D4×C67—42no—
782D4×C67—42no—
783D4×C67—81no—
784D4×C67—81no—
785D4×C67—81no—
786D4×C67—81no—
787D4×C67C2×#4112yes—
788C2×C4×C67—21no—
789C2×C4×C67—21no—
790C2×C4×C67—21no—
791C2×C4×C67—21no—
792C2×C4×C67—21no—
793C2×C4×C67—21no—
794C2×C4×C67—21no—
795C2×C4×C67—21no—
796C2×C4×C67—42no—
797C2×C4×C67—81no—
798C2×C4×C67—81no—
799C2×C4×C67—81no—
800C2×C4×C67C22×D411yescharacteristic
801C2×C4×C67C22×D411yescharacteristic
802C2×C4×C67C22×D411yescharacteristic
803C2×C4×C67C22×D411yescharacteristic
804C2×C4×C67C2511yescharacteristic
805C22⋊D67—22no—
806C22⋊D67—22no—
807C22⋊D67—24no—
808C22⋊D67—22no—
809C22⋊D67—41no—
810C22⋊D67—42no—
811C22⋊D67—42no—
812C22⋊D67—42no—
813C22⋊D67—42no—
814C22⋊D67—42no—
815C22⋊D67—42no—
816C22⋊D67—42no—
817C22⋊D67—42no—
818C22⋊D67—42no—
819C22⋊D67—42no—
820C22⋊D67—81no—
821C22⋊D67—81no—
822C22⋊D67—81no—
823C22⋊D67—81no—
824C22⋊D67—81no—
825C22⋊D67—81no—
826C22⋊D67—81no—
827C2×Dic67—22no—
828C2×Dic67—21no—
829C2×Dic67—21no—
830C2×Dic67—21no—
831C2×Dic67—21no—
832C2×Dic67—21no—
833C2×Dic67—42no—
834C2×Dic67—42no—
835C2×Dic67—81no—
836C2×Dic67—81no—
837C2×Dic67—81no—
838C2×Dic67C22×D411yescharacteristic
839C2×Dic67C22×D411yescharacteristic
840C2×Dic67C22×D411yescharacteristic
841C2×Dic67C22×D411yescharacteristic
842C2×Dic67C22×D411yescharacteristic
843D268—22no—
844D268—21no—
845D268—21no—
846D268—21no—
847D268—21no—
848D268—21no—
849D268—41no—
850D268—42no—
851D268—81no—
852D268—81no—
853D268—81no—
854D268C2×#4112yes—
855C4×D67—22no—
856C4×D67—21no—
857C4×D67—21no—
858C4×D67—21no—
859C4×D67—21no—
860C4×D67—22no—
861C4×D67—42no—
862C4×D67—81no—
863C4×D67—81no—
864C4×D67—81no—
865C4×D67—81no—
866C4×D67—81no—
867C4×D67—81no—
868C4×D67C2×#4112yes—
869C4×D67H(5,𝔽2)12yes—
870Dic134—22no—
871Dic134—21no—
872Dic134—21no—
873Dic134—81no—
874C8×C67—21no—
875C8×C67—21no—
876C8×C67—21no—
877C8×C67—21no—
878C67⋊C8—21no—
879C67⋊C8—21no—
880C67⋊C8—21no—
881C67⋊C8—21no—
882C22×C67—21no—
883C22×C67—21no—
884C22×C67—21no—
885C22×C67—22no—
886C22×C67—21no—
887C22×C67—21no—
888C22×C67—41no—
889C22×C67—41no—
890C22×C67—41no—
891C22×C67—41no—
892C22×C67—41no—
893C22×C67—41no—
894C22×C67—41no—
895C22×C67—41no—
896C22×C67—41no—
897C22×C67—41no—
898C22×C67—41no—
899C22×C67—84no—
900C22×C67—162no—
901C22×C67#57612yes—
902C22×C67C23×D411yescharacteristic
903C2×D67—21no—
904C2×D67—21no—
905C2×D67—21no—
906C2×D67—21no—
907C2×D67—21no—
908C2×D67—21no—
909C2×D67—22no—
910C2×D67—21no—
911C2×D67—21no—
912C2×D67—44no—
913C2×D67—41no—
914C2×D67—41no—
915C2×D67—41no—
916C2×D67—41no—
917C2×D67—41no—
918C2×D67—41no—
919C2×D67—41no—
920C2×D67—41no—
921C2×D67—84no—
922C2×D67—84no—
923C2×D67—84no—
924C2×D67—84no—
925C2×D67—84no—
926C2×D67—162no—
927C2×D67—162no—
928C2×D67#54612yes—
929C4×C67—21no—
930C4×C67—21no—
931C4×C67—21no—
932C4×C67—21no—
933C4×C67—41no—
934C4×C67—41no—
935C4×C67—41no—
936C4×C67—41no—
937C4×C67C22×#4111yescharacteristic
938C4×C67C2×H(5,𝔽2)11yescharacteristic
939Dic67—21no—
940Dic67—21no—
941Dic67—21no—
942Dic67—21no—
943Dic67—41no—
944Dic67—41no—
945Dic67—41no—
946Dic67—41no—
947Dic67—41no—
948Dic67#54612yes—
949#61183—671nomaximal, Sylow
950C2×C67—22no—
951C2×C67—42no—
952C2×C67—41no—
953C2×C67—81no—
954C2×C67—81no—
955C2×C67—81no—
956C2×C67C2×#54611yescharacteristic
957C2×C67C2×#57611yescharacteristic
958C2×C67#358511yescharacteristic
959D67—22no—
960D67—41no—
961D67—41no—
962D67—42no—
963D67—81no—
964D67—81no—
965#3494—671no—
966#3484—671no—
967#3325—671no—
968#3325—671no—
969#3322—671no—
970#3322—671no—
971#3319—671no—
972#3319—671no—
973#3318—671no—
974#3318—671no—
975#3318—671no—
976#3318—671no—
977#3306—671no—
978#3306—671no—
979#3297—671no—
980#3297—671no—
981#3294—671no—
982#3294D6711yescharacteristic, complemented
983#3136—671no—
984#3096—671no—
985#3091—671no—
986#3081—671no—
987#3058—671no—
988#3055—671no—
989#3041—671no—
990#3008—671no—
991C2×#447—671no—
992#2948—671no—
993#2933—671no—
994#2897—671no—
995C2×#418—671no—
996C67#6118311yescharacteristic, complemented, Sylow
997C2×H(5,𝔽2)—671no—
998C23×D4—671no—
999C2×AGL(1,ℤ/8)—671no—
1000C22×D8—671no—
1001C22×D8—671no—
1002C2×#131—671no—
1003C22×M16—671no—
1004#555—671no—
1005#555—671no—
1006#553—671no—
1007#553—671no—
1008#553—671no—
1009#553—671no—
1010#551—1341no—
1011#551—1341no—
1012#547—671no—
1013#547C2×D6711yescharacteristic, complemented
1014#546—671no—
1015#546—671no—
1016#546—671no—
1017#546—671no—
1018#546—1341no—
1019#546—1341no—
1020#546—1341no—
1021#546—1341no—
1022D42—671no—
1023D42—671no—
1024D42—671no—
1025D42—1341no—
1026D42—1341no—
1027D42C2×D6711yescharacteristic, complemented
1028#544—671no—
1029#542—1341no—
1030#540—1341no—
1031#535—671no—
1032#535—671no—
1033#535—671no—
1034#534—1341no—
1035#534—1341no—
1036#532—1341no—
1037#529—1341no—
1038#525—671no—
1039#525—671no—
1040C2×#121—671no—
1041C2×#120—1341no—
1042C2×#120—1341no—
1043#520—671no—
1044#518—671no—
1045#518—671no—
1046C2×#117—671no—
1047#490—671no—
1048#490—671no—
1049#489—671no—
1050#489—671no—
1051#488—671no—
1052#488—671no—
1053#486—671no—
1054#486C2×D6711yescharacteristic, complemented
1055#485—671no—
1056#485—671no—
1057#484—671no—
1058#483—671no—
1059#482—671no—
1060#482—671no—
1061#482—671no—
1062#482—671no—
1063#482—671no—
1064#482—671no—
1065#481—671no—
1066#481—671no—
1067#481—671no—
1068#480—671no—
1069#480C2×D6711yescharacteristic, complemented
1070#480C2×D6711yescharacteristic, complemented
1071#478—671no—
1072#478—671no—
1073#478—671no—
1074#478—671no—
1075#476—671no—
1076#476—671no—
1077#474—671no—
1078#474C2×D6711yescharacteristic, complemented
1079#469—671no—
1080#469—671no—
1081#469—671no—
1082#469—671no—
1083#469—671no—
1084#469—671no—
1085#468—671no—
1086#468—671no—
1087#466—671no—
1088#466—671no—
1089#466—671no—
1090#466—671no—
1091#466C2×D6711yescharacteristic, complemented
1092#466C2×D6711yescharacteristic, complemented
1093#465—671no—
1094#465—671no—
1095#463—671no—
1096#463—671no—
1097#463—671no—
1098#463—671no—
1099#459—671no—
1100#459—671no—
1101#459—671no—
1102#459C2×D6711yescharacteristic, complemented
1103#449—671no—
1104#449—671no—
1105#449—671no—
1106#449—671no—
1107#447—671no—
1108#447—671no—
1109#447—671no—
1110#447—671no—
1111#447—671no—
1112#447—671no—
1113#447—671no—
1114#447—671no—
1115#447—671no—
1116#447—671no—
1117#447C2×D6711yescharacteristic, complemented
1118#447C2×D6711yescharacteristic, complemented
1119#442—671no—
1120#442—671no—
1121#442—671no—
1122#442—671no—
1123C4×D8—671no—
1124C4×D8—671no—
1125C4×D8—671no—
1126C4×D8C2×D6711yescharacteristic, complemented
1127#436—671no—
1128#436—671no—
1129#435—671no—
1130#435—671no—
1131#435—671no—
1132#435—671no—
1133C8×D4—671no—
1134C8×D4C2×D6711yescharacteristic, complemented
1135#428—671no—
1136#427—671no—
1137#427—671no—
1138#424—671no—
1139#418—671no—
1140#418—671no—
1141#418—671no—
1142#418—671no—
1143#418—671no—
1144#418—671no—
1145#418—671no—
1146#418—671no—
1147#418—671no—
1148#418—671no—
1149#418—671no—
1150#417—671no—
1151#417—671no—
1152#417—671no—
1153#416—671no—
1154#416—671no—
1155#416—671no—
1156#416—671no—
1157C2×#102—671no—
1158C2×#102—671no—
1159C2×#102—671no—
1160C2×#102—671no—
1161C2×#102—671no—
1162C2×#102—671no—
1163C2×#102C2×D6711yescharacteristic, complemented
1164C2×#102C2×D6711yescharacteristic, complemented
1165#408—671no—
1166C2×C22⋊C8—671no—
1167#405—671no—
1168C25—1341no—
1169H(5,𝔽2)—2682no—
1170H(5,𝔽2)—1344no—
1171C2×#41—21no—
1172C2×#41—671no—
1173C2×#41—671no—
1174C2×#41—671no—
1175C2×#41—671no—
1176C2×#41—1341no—
1177C2×#41—1341no—
1178C22×D4—21no—
1179C22×D4—2682no—
1180C22×D4—671no—
1181C22×D4—671no—
1182C22×D4—671no—
1183C22×D4—671no—
1184C22×D4—671no—
1185C22×D4—671no—
1186C22×D4—671no—
1187C22×D4—1341no—
1188C22×D4—1341no—
1189C22×D4—1341no—
1190C22×D4—1341no—
1191C22×D4—1344no—
1192C22×D4—1341no—
1193C22×D4—1341no—
1194C22×D4—1341no—
1195C22×D4—1341no—
1196C22×D4—1341no—
1197C22×D4—1341no—
1198C22×D4C22×D6711yescharacteristic
1199C22×D4C22×D6711yescharacteristic
1200C23×C4—671no—
1201AGL(1,ℤ/8)—2682no—
1202C2×SD16—671no—
1203C2×SD16—671no—
1204C2×D8—2682no—
1205C2×D8—671no—
1206C2×D8—671no—
1207C2×D8—671no—
1208C2×D8—671no—
1209C2×D8—671no—
1210C2×D8—671no—
1211C2×D8—671no—
1212C2×D8—1344no—
1213C2×D8C22×D6711yescharacteristic
1214C2×D8C22×D6711yescharacteristic
1215C2×D8C22×D6711yescharacteristic, complemented
1216#131—2682no—
1217C2×M16—2682no—
1218C2×M16—671no—
1219C2×M16—671no—
1220C2×M16—671no—
1221C2×M16—671no—
1222C2×M16—671no—
1223C2×M16—671no—
1224C22×C8—671no—
1225C22×C8—671no—
1226C22×C8—671no—
1227C22×C8—671no—
1228C22×C8C22×D6711yescharacteristic
1229C22×C8C22×D6711yescharacteristic, complemented
1230C4⋊Q8—671no—
1231C4⋊Q8—1341no—
1232C4⋊Q8C22×D6711yescharacteristic, complemented
1233#127—671no—
1234#127—1341no—
1235#127—1341no—
1236#127C22×D6711yescharacteristic
1237#126—1341no—
1238#126—1341no—
1239#126—1341no—
1240#126—1341no—
1241#125—671no—
1242#125—671no—
1243#125—1341no—
1244#124—671no—
1245#124—671no—
1246#124—1341no—
1247#124—1341no—
1248#124—1341no—
1249#124—1341no—
1250#124—1341no—
1251#124—1341no—
1252#123—21no—
1253#123—21no—
1254#123—671no—
1255#123—671no—
1256#123—1341no—
1257#123—1341no—
1258#123—1341no—
1259#123—1341no—
1260#123—1341no—
1261#123—1341no—
1262#123—1341no—
1263#123—1341no—
1264#123—1341no—
1265#123—1341no—
1266#123—1341no—
1267C22⋊Q8—21no—
1268C22⋊Q8—671no—
1269C22⋊Q8—671no—
1270C22⋊Q8—671no—
1271C22⋊Q8—671no—
1272C22⋊Q8—1341no—
1273C22⋊Q8—1341no—
1274C22⋊Q8—1341no—
1275#121—21no—
1276#121—671no—
1277#121—671no—
1278#121—671no—
1279#121—671no—
1280#121—671no—
1281#121—671no—
1282#121—671no—
1283#121—671no—
1284#121—671no—
1285#121—671no—
1286#121—671no—
1287#121—671no—
1288#121—1341no—
1289#121—1341no—
1290#121—1341no—
1291#121—1341no—
1292#121—1341no—
1293#121—1341no—
1294#121—1341no—
1295#121—1341no—
1296#121—1341no—
1297#121—1341no—
1298#121—1341no—
1299#121—1341no—
1300#121—1341no—
1301#121—1341no—
1302#121—1341no—
1303#121—1341no—
1304#121—1341no—
1305#121C22×D6711yescharacteristic
1306#121C22×D6711yescharacteristic
1307#121C22×D6711yescharacteristic
1308#121C22×D6711yescharacteristic, complemented
1309#120—21no—
1310#120—21no—
1311#120—671no—
1312#120—671no—
1313#120—1341no—
1314#120—1341no—
1315#120—1341no—
1316#120—1341no—
1317#120—1341no—
1318#120—1341no—
1319#120—1341no—
1320#120—1341no—
1321#120—1341no—
1322#120—1341no—
1323#120—1341no—
1324#120—1341no—
1325#120—1341no—
1326#120—1341no—
1327#120—1341no—
1328#120—1341no—
1329#120—1341no—
1330C4×Q8—1341no—
1331C4×D4—671no—
1332C4×D4—671no—
1333C4×D4—671no—
1334C4×D4—671no—
1335C4×D4—671no—
1336C4×D4—671no—
1337C4×D4—671no—
1338C4×D4—671no—
1339C4×D4—671no—
1340C4×D4—1341no—
1341C4×D4—1341no—
1342C4×D4—1341no—
1343C4×D4—1341no—
1344C4×D4—1341no—
1345C4×D4—1341no—
1346C4×D4—1341no—
1347C4×D4—1341no—
1348C4×D4—1341no—
1349C4×D4—1341no—
1350C4×D4—1341no—
1351C4×D4—1341no—
1352C4×D4—1341no—
1353C4×D4C22×D6711yescharacteristic
1354C4×D4C22×D6711yescharacteristic
1355C4×D4C22×D6711yescharacteristic, complemented
1356#117—671no—
1357#117—671no—
1358#117—671no—
1359#117—671no—
1360#117—671no—
1361#117—671no—
1362#117—671no—
1363#117—671no—
1364#117—1341no—
1365#117—1341no—
1366#117—1341no—
1367#117—1341no—
1368C2×C4⋊C4—671no—
1369C2×C4⋊C4—671no—
1370C2×C4⋊C4—671no—
1371C2×C4⋊C4C22×D6711yescharacteristic
1372C2×C4⋊C4C22×D6711yescharacteristic, complemented
1373C2×C22⋊C4—1341no—
1374C2×C22⋊C4—1341no—
1375C2×C22⋊C4—1341no—
1376C2×C22⋊C4—1341no—
1377C2×C22⋊C4—1341no—
1378C2×C22⋊C4—1341no—
1379C2×C22⋊C4—1341no—
1380C2×C22⋊C4—1341no—
1381C2×C22⋊C4—1341no—
1382C2×C22⋊C4—1341no—
1383C2×C42—1341no—
1384#107—671no—
1385#107—671no—
1386#107—671no—
1387#107C22×D6711yescharacteristic, complemented
1388#107C22×D6711yescharacteristic, complemented
1389#107C22×D6711yescharacteristic, complemented
1390#106—671no—
1391#106—671no—
1392#106—671no—
1393#106—671no—
1394#106—671no—
1395#106—671no—
1396C4⋊C8—671no—
1397C4⋊C8—671no—
1398C4⋊C8—671no—
1399C4⋊C8C22×D6711yescharacteristic, complemented
1400#103—671no—
1401#103—671no—
1402#103—671no—
1403#103—671no—
1404#103—671no—
1405#103—671no—
1406#102—671no—
1407#102—671no—
1408#102—671no—
1409#102—671no—
1410#102—671no—
1411#102—671no—
1412#102—671no—
1413#102—671no—
1414#102—671no—
1415#102—671no—
1416#102—671no—
1417#102—671no—
1418#102—671no—
1419#102—671no—
1420#102—671no—
1421#102—671no—
1422#102—671no—
1423#102—671no—
1424#102—671no—
1425#102—671no—
1426#102—671no—
1427#102—671no—
1428#102—671no—
1429#102—671no—
1430#102C22×D6711yescharacteristic
1431#102C22×D6711yescharacteristic
1432#102C22×D6711yescharacteristic
1433#102C22×D6711yescharacteristic
1434#102C22×D6711yescharacteristic
1435#102C22×D6711yescharacteristic
1436#102C22×D6711yescharacteristic, complemented
1437#102C22×D6711yescharacteristic, complemented
1438#102C22×D6711yescharacteristic, complemented
1439#102C22×D6711yescharacteristic, complemented
1440C22⋊C8—671no—
1441C22⋊C8—671no—
1442C22⋊C8—671no—
1443C22⋊C8—671no—
1444C22⋊C8—671no—
1445C22⋊C8—671no—
1446C22⋊C8C22×D6711yescharacteristic
1447C22⋊C8C22×D6711yescharacteristic, complemented
1448#97—671no—
1449#97—671no—
1450C4×C8—671no—
1451C4×C8C22×D6711yescharacteristic, complemented
1452C24—21no—
1453C24—21no—
1454C24—2684no—
1455C24—5362no—
1456C24—5362no—
1457C24—671no—
1458C24—1341no—
1459C24—1341no—
1460C24—1341no—
1461C24—1341no—
1462C24—1341no—
1463C24—1341no—
1464C24—1341no—
1465#41—82no—
1466#41—2681no—
1467#41—2684no—
1468#41—2681no—
1469#41—5362no—
1470#41—1342no—
1471#41—1342no—
1472#41—1342no—
1473#41—1342no—
1474#41—1342no—
1475#41—1342no—
1476C2×Q8—21no—
1477C2×Q8—671no—
1478C2×Q8—671no—
1479C2×Q8—1341no—
1480C2×D4—22no—
1481C2×D4—22no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—41no—
1491C2×D4—41no—
1492C2×D4—82no—
1493C2×D4—2681no—
1494C2×D4—2684no—
1495C2×D4—2684no—
1496C2×D4—2684no—
1497C2×D4—2681no—
1498C2×D4—2681no—
1499C2×D4—2681no—
1500C2×D4—2684no—
1501C2×D4—2684no—
1502C2×D4—2684no—
1503C2×D4—5362no—
1504C2×D4—5362no—
1505C2×D4—5362no—
1506C2×D4—5362no—
1507C2×D4—671no—
1508C2×D4—674no—
1509C2×D4—671no—
1510C2×D4—671no—
1511C2×D4—671no—
1512C2×D4—671no—
1513C2×D4—671no—
1514C2×D4—671no—
1515C2×D4—671no—
1516C2×D4—671no—
1517C2×D4—1342no—
1518C2×D4—1341no—
1519C2×D4—1341no—
1520C2×D4—1341no—
1521C2×D4—1342no—
1522C2×D4—1342no—
1523C2×D4—1342no—
1524C2×D4—1342no—
1525C2×D4—1342no—
1526C2×D4—1341no—
1527C2×D4—1341no—
1528C2×D4—1341no—
1529C2×D4—1341no—
1530C2×D4—1341no—
1531C2×D4—1341no—
1532C2×D4—1341no—
1533C2×D4—1341no—
1534C2×D4—1342no—
1535C2×D4—1342no—
1536C2×D4—1341no—
1537C2×D4—1341no—
1538C2×D4—1341no—
1539C2×D4—1341no—
1540C2×D4—1341no—
1541C2×D4—1342no—
1542C2×D4—1341no—
1543C2×D4—1341no—
1544C2×D4—1341no—
1545C2×D4—1341no—
1546C2×D4—1341no—
1547C2×D4—1341no—
1548C2×D4D4×D6711yescharacteristic
1549C2×D4C23×D6711yescharacteristic
1550C2×D4C23×D6711yescharacteristic
1551C2×D4C23×D6711yescharacteristic
1552C2×D4C23×D6711yescharacteristic
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—671no—
1558C22×C4—671no—
1559C22×C4—671no—
1560C22×C4—671no—
1561C22×C4—671no—
1562C22×C4—671no—
1563C22×C4—1341no—
1564C22×C4—1341no—
1565C22×C4—1341no—
1566C22×C4—1341no—
1567C22×C4—1342no—
1568C22×C4—1342no—
1569C22×C4—1341no—
1570C22×C4—1341no—
1571C22×C4—1341no—
1572C22×C4—1341no—
1573C22×C4—1341no—
1574C22×C4—1341no—
1575C22×C4—1341no—
1576C22×C4—1341no—
1577C22×C4C23×D6711yescharacteristic
1578C22×C4C23×D6711yescharacteristic
1579SD16—2681no—
1580SD16—2681no—
1581D8—22no—
1582D8—41no—
1583D8—41no—
1584D8—2681no—
1585D8—2681no—
1586D8—2681no—
1587D8—2681no—
1588D8—1342no—
1589D8—1342no—
1590D8—1342no—
1591M16—2681no—
1592M16—2681no—
1593M16—2681no—
1594M16—2681no—
1595M16—1342no—
1596M16—1342no—
1597C2×C8—41no—
1598C2×C8—41no—
1599C2×C8—2681no—
1600C2×C8—2681no—
1601C2×C8—671no—
1602C2×C8—671no—
1603C2×C8—671no—
1604C2×C8—671no—
1605C2×C8—1342no—
1606C2×C8—1342no—
1607C2×C8C23×D6711yescharacteristic
1608C2×C8C23×D6711yescharacteristic
1609C2×C8C23×D6711yescharacteristic
1610C2×C8C23×D6711yescharacteristic
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—671no—
1615C4⋊C4—671no—
1616C4⋊C4—671no—
1617C4⋊C4—671no—
1618C4⋊C4—671no—
1619C4⋊C4—671no—
1620C4⋊C4—671no—
1621C4⋊C4—671no—
1622C4⋊C4—671no—
1623C4⋊C4—1341no—
1624C4⋊C4—1341no—
1625C4⋊C4—1341no—
1626C4⋊C4—1341no—
1627C4⋊C4—1341no—
1628C4⋊C4—1341no—
1629C4⋊C4—1341no—
1630C4⋊C4—1341no—
1631C4⋊C4—1341no—
1632C4⋊C4—1341no—
1633C4⋊C4D4×D6711yescharacteristic
1634C4⋊C4C23×D6711yescharacteristic
1635C4⋊C4C23×D6711yescharacteristic
1636C4⋊C4C23×D6711yescharacteristic
1637C4⋊C4C23×D6711yescharacteristic
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—671no—
1645C22⋊C4—671no—
1646C22⋊C4—671no—
1647C22⋊C4—671no—
1648C22⋊C4—671no—
1649C22⋊C4—671no—
1650C22⋊C4—671no—
1651C22⋊C4—671no—
1652C22⋊C4—1341no—
1653C22⋊C4—1341no—
1654C22⋊C4—1341no—
1655C22⋊C4—1341no—
1656C22⋊C4—1341no—
1657C22⋊C4—1341no—
1658C22⋊C4—1341no—
1659C22⋊C4—1341no—
1660C22⋊C4—1341no—
1661C22⋊C4—1341no—
1662C22⋊C4—1341no—
1663C22⋊C4—1341no—
1664C22⋊C4—1341no—
1665C22⋊C4—1341no—
1666C22⋊C4—1341no—
1667C22⋊C4—1341no—
1668C22⋊C4—1341no—
1669C22⋊C4—1341no—
1670C22⋊C4—1341no—
1671C22⋊C4—1341no—
1672C22⋊C4—1341no—
1673C22⋊C4—1341no—
1674C22⋊C4—1341no—
1675C22⋊C4—1341no—
1676C22⋊C4—1341no—
1677C22⋊C4—1341no—
1678C22⋊C4—1341no—
1679C22⋊C4—1341no—
1680C22⋊C4—1341no—
1681C22⋊C4D4×D6711yescharacteristic
1682C22⋊C4D4×D6711yescharacteristic
1683C42—671no—
1684C42—1341no—
1685C42—1341no—
1686C42—1341no—
1687C42—1341no—
1688C42—1341no—
1689C42—1341no—
1690C42—1341no—
1691C42C23×D6711yescharacteristic
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—42no—
1697C23—42no—
1698C23—42no—
1699C23—81no—
1700C23—81no—
1701C23—81no—
1702C23—2681no—
1703C23—2682no—
1704C23—2682no—
1705C23—2682no—
1706C23—2682no—
1707C23—2682no—
1708C23—2682no—
1709C23—2682no—
1710C23—2682no—
1711C23—2682no—
1712C23—5361no—
1713C23—5361no—
1714C23—5361no—
1715C23—5361no—
1716C23—5361no—
1717C23—5361no—
1718C23—5361no—
1719C23—5361no—
1720C23—5361no—
1721C23—5361no—
1722C23—5361no—
1723C23—53616no—
1724C23—671no—
1725C23—671no—
1726C23—671no—
1727C23—1342no—
1728C23—1344no—
1729C23—1341no—
1730C23—1341no—
1731C23—1342no—
1732C23—1341no—
1733C23C2×D4×D6711yescharacteristic
1734C23C2×D4×D6711yescharacteristic
1735Q8—81no—
1736Q8—5361no—
1737Q8—1342no—
1738Q8—1341no—
1739Q8—1341no—
1740D4—22no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—21no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—42no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—2682no—
1757D4—2681no—
1758D4—2682no—
1759D4—2682no—
1760D4—2682no—
1761D4—2682no—
1762D4—2682no—
1763D4—2682no—
1764D4—2682no—
1765D4—2682no—
1766D4—2681no—
1767D4—2682no—
1768D4—2682no—
1769D4—5361no—
1770D4—5361no—
1771D4—5361no—
1772D4—5361no—
1773D4—5361no—
1774D4—5361no—
1775D4—5361no—
1776D4—5361no—
1777D4—5361no—
1778D4—5361no—
1779D4—672no—
1780D4—1342no—
1781D4—1344no—
1782D4—1342no—
1783D4—1342no—
1784D4—1342no—
1785D4—1341no—
1786D4—1341no—
1787D4—1341no—
1788D4—1341no—
1789D4—1341no—
1790D4#41×D6712yes—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—42no—
1800C2×C4—81no—
1801C2×C4—81no—
1802C2×C4—81no—
1803C2×C4—2682no—
1804C2×C4—2682no—
1805C2×C4—2682no—
1806C2×C4—5361no—
1807C2×C4—5361no—
1808C2×C4—5361no—
1809C2×C4—5361no—
1810C2×C4—5361no—
1811C2×C4—5361no—
1812C2×C4—5361no—
1813C2×C4—5361no—
1814C2×C4—5361no—
1815C2×C4—671no—
1816C2×C4—672no—
1817C2×C4—672no—
1818C2×C4—671no—
1819C2×C4—671no—
1820C2×C4—671no—
1821C2×C4—671no—
1822C2×C4—1342no—
1823C2×C4—1342no—
1824C2×C4—1341no—
1825C2×C4—1341no—
1826C2×C4—1341no—
1827C2×C4—1341no—
1828C2×C4—1341no—
1829C2×C4—1342no—
1830C2×C4—1341no—
1831C2×C4—1341no—
1832C2×C4—1341no—
1833C2×C4—1341no—
1834C2×C4C2×D4×D6711yescharacteristic
1835C2×C4C2×D4×D6711yescharacteristic
1836C2×C4C2×D4×D6711yescharacteristic
1837C2×C4C2×D4×D6711yescharacteristic
1838C2×C4C24×D6711yescharacteristic
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C8—21no—
1843C8—1341no—
1844C8—1341no—
1845C8—1341no—
1846C8—1341no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—22no—
1851C22—21no—
1852C22—21no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—84no—
1865C22—2684no—
1866C22—2681no—
1867C22—2681no—
1868C22—2681no—
1869C22—2681no—
1870C22—2681no—
1871C22—2681no—
1872C22—2681no—
1873C22—2681no—
1874C22—162no—
1875C22—5364no—
1876C22—5364no—
1877C22—5364no—
1878C22—5364no—
1879C22—5364no—
1880C22—10722no—
1881C22—10722no—
1882C22—672no—
1883C22—1342no—
1884C22—1341no—
1885C22—1341no—
1886C22—1341no—
1887C22—1341no—
1888C22—1341no—
1889C22—1341no—
1890C22—1341no—
1891C22—1341no—
1892C22#1686419712yes—
1893C22C22×D4×D6711yescharacteristic
1894C4—21no—
1895C4—21no—
1896C4—21no—
1897C4—21no—
1898C4—41no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—2681no—
1903C4—2681no—
1904C4—2681no—
1905C4—2681no—
1906C4—2681no—
1907C4—672no—
1908C4—1341no—
1909C4—1341no—
1910C4—1341no—
1911C4—1341no—
1912C4C2×#41×D6711yescharacteristic
1913C4H(5,𝔽2)×D6711yescharacteristic
1914C2—22no—
1915C2—41no—
1916C2—42no—
1917C2—81no—
1918C2—81no—
1919C2—81no—
1920C2—2681no—
1921C2—2682no—
1922C2—2681no—
1923C2—5361no—
1924C2—5361no—
1925C2—1342no—
1926C2#546×D6711yescharacteristic
1927C2C2×#1686419711yescharacteristic
1928C2#2257498711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3294C2
socleC22×C67C23×D4
hypercenter#3294D67
hypocenterC67#61183
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3294

Complements

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

NH ≅ G/Ntype
1. #22573933C2semidirect
2. #22573837C2semidirect
3. #22572450C2semidirect
4. #22572444C2semidirect
5. #22572415C2semidirect
6. #22572413C2semidirect
7. #22572371C2semidirect
8. #22572362C2semidirect
9. #22572357C2semidirect
10. #22572356C2semidirect
11. #22572350C2semidirect
12. #22572346C2semidirect
13. #22572166C2semidirect
14. #22572164C2semidirect
15. #22572063C2semidirect
16. #22572061C2semidirect
17. #22572020C2semidirect
18. #22570558C2semidirect
19. #22570160C2semidirect
20. #22570117C2semidirect
21. #22570033C2semidirect
22. #22569852C2semidirect
23. #22569825C2semidirect
24. #22569707C2semidirect
25. #22569472C2semidirect
26. #447×D67C2semidirect
27. #22569056C2semidirect
28. #22568929C2semidirect
29. #22568730C2semidirect
30. C2×#16863399C2semidirect
31. C67×#3294C2semidirect
34. C2×#14524067C22semidirect
36. C2×D8×D67C22semidirect
37. C2×#14524049C22semidirect
38. C22×#11761611C22semidirect
39. #16864112C22semidirect
40. #16864110C22semidirect
41. #16864098C22semidirect
42. #16864096C22semidirect
43. #16864094C22semidirect
44. #16864092C22semidirect
47. #16864047C22semidirect
48. #16864043C22semidirect
49. #16864042C22semidirect
50. #16864041C22semidirect
51. #16864040C22semidirect
56. #16864031C22semidirect
57. #16864030C22semidirect
59. D4×C22⋊D67C22semidirect
61. #16864023C22semidirect
65. #16863962C22semidirect
73. #121×D67C22semidirect
76. #16863877C22semidirect
78. #16863868C22semidirect
79. C2×#14524001C22semidirect
80. #16863760C22semidirect
81. #16863759C22semidirect
82. #16863758C22semidirect
83. #16863754C22semidirect
84. #16863751C22semidirect
85. #16863749C22semidirect
86. #16863741C22semidirect
87. #16863739C22semidirect
88. #16863739C22semidirect
89. #16863732C22semidirect
90. #16863726C22semidirect
91. #16863723C22semidirect
92. #16863721C22semidirect
93. #16863718C22semidirect
94. #16863718C22semidirect
95. #16863718C22semidirect
96. #16863717C22semidirect
97. #16863714C22semidirect
98. #16863713C22semidirect
99. #16863712C22semidirect
100. #16863711C22semidirect
101. #16863699C22semidirect
102. #16863697C22semidirect
103. #16863696C22semidirect
104. #16863694C22semidirect
105. #16863684C22semidirect
106. #16863683C22semidirect
107. #16863675C22semidirect
108. #16863648C22semidirect
109. #16863648C22semidirect
110. #16863648C22semidirect
111. #16863647C22semidirect
112. #16863647C22semidirect
113. #16863646C22semidirect
114. #16863643C22semidirect
115. #16863641C22semidirect
116. #16863633C22semidirect
117. #16863632C22semidirect
118. #16863630C22semidirect
119. #16863629C22semidirect
120. #16863625C22semidirect
121. #16863623C22semidirect
122. #16863612C22semidirect
123. #16863611C22semidirect
124. #16863610C22semidirect
125. #16863609C22semidirect
126. #16863590C22semidirect
127. #16863589C22semidirect
128. #16863588C22semidirect
129. #16863543C22semidirect
130. #16863542C22semidirect
131. #16863539C22semidirect
132. #16863538C22semidirect
133. #16863532C22semidirect
134. #16863531C22semidirect
135. #16863531C22semidirect
136. #16863531C22semidirect
137. #16863530C22semidirect
138. #16863530C22semidirect
139. #16863529C22semidirect
140. #16863528C22semidirect
141. #16863528C22semidirect
142. #16863528C22semidirect
143. #16863506C22semidirect
144. #16863506C22semidirect
145. #16863505C22semidirect
146. #16863505C22semidirect
147. C4×D536C22semidirect
148. D8×Dic67C22semidirect
149. #16863478C22semidirect
150. #16863475C22semidirect
151. #16863471C22semidirect
152. #16863468C22semidirect
153. #16863467C22semidirect
154. #16863467C22semidirect
155. #16863466C22semidirect
156. (C22⋊D67)⋊C8C22semidirect
157. #16863437C22semidirect
158. #16863433C22semidirect
159. #16863433C22semidirect
160. #16863421C22semidirect
161. #16863401C22semidirect
164. #16863399C22semidirect
165. #16863399C22semidirect
166. #16863399C22semidirect
167. #16863399C22semidirect
168. #16863399C22semidirect
169. #16863399C22semidirect
170. #16863399C22semidirect
171. #16863399C22semidirect
172. #16863395C22semidirect
173. #16863394C22semidirect
174. #16863394C22semidirect
175. #16863393C22semidirect
176. #16863389C22semidirect
177. #16863389C22semidirect
178. #16863389C22semidirect
179. C2×#14523965C22semidirect
180. C2×#14523964C22semidirect
181. C2×#14523963C22semidirect
183. #102×D67C22semidirect
184. #102×D67C22semidirect
185. #16863361C22semidirect
186. C22⋊C8×D67C22semidirect
187. #16863350C22semidirect
188. #547×C67C22semidirect
189. D42×C67C22semidirect
190. #486×C67C22semidirect
191. #480×C67C22semidirect
192. #480×C67C22semidirect
193. #474×C67C22semidirect
194. #466×C67C22semidirect
195. #466×C67C22semidirect
196. #459×C67C22semidirect
197. #447×C67C22semidirect
198. #447×C67C22semidirect
199. C4×D8×C67C22semidirect
200. C8×D4×C67C22semidirect
201. C2×#102×C67C22semidirect
202. C2×#102×C67C22semidirect
233. C2×#11761617C23semidirect
234. C2×#11761616C23semidirect
241. C2×#11761613C23semidirect
245. C2×#11761612C23semidirect
251. C2×#11761611C23semidirect
255. C2×C8×D67C23semidirect
256. #14524042C23semidirect
265. #14524035C23semidirect
266. #14524034C23semidirect
299. #14524018C23semidirect
304. #14524017C23semidirect
324. #14524014C23semidirect
347. C4×D268C23semidirect
351. D4×Dic67C23semidirect
354. #14524005C23semidirect
367. #14524002C23semidirect
376. #14524001C23semidirect
381. C4⋊C4×D67C23semidirect
393. #14523977C23semidirect
394. #14523977C23semidirect
395. #14523976C23semidirect
396. #14523975C23semidirect
397. #14523974C23semidirect
398. #14523974C23semidirect
399. #14523974C23semidirect
400. #14523974C23semidirect
401. #14523974C23semidirect
402. C4⋊(C67⋊C8)C23semidirect
403. Dic67⋊C8C23semidirect
404. Dic67⋊C8C23semidirect
405. #14523968C23semidirect
406. #14523968C23semidirect
407. #14523968C23semidirect
408. #14523966C23semidirect
409. #14523966C23semidirect
410. #14523966C23semidirect
417. #14523965C23semidirect
424. #14523964C23semidirect
425. #14523964C23semidirect
426. #14523964C23semidirect
427. #14523964C23semidirect
434. #14523963C23semidirect
436. C22⋊(C67⋊C8)C23semidirect
439. (C2×D67)⋊C8C23semidirect
440. (C2×D67)⋊C8C23semidirect
441. #14523954C23semidirect
442. #14523953C23semidirect
443. C8×Dic67C23semidirect
450. C2×D8×C67C23semidirect
452. C22×C8×C67C23semidirect
453. C4⋊Q8×C67C23semidirect
462. #121×C67C23semidirect
467. C4×D4×C67C23semidirect
469. C2×C4⋊C4×C67C23semidirect
470. #107×C67C23semidirect
471. #107×C67C23semidirect
472. #107×C67C23semidirect
473. C4⋊C8×C67C23semidirect
480. #102×C67C23semidirect
481. #102×C67C23semidirect
482. #102×C67C23semidirect
483. #102×C67C23semidirect
485. C22⋊C8×C67C23semidirect
486. C4×C8×C67C23semidirect
565. D4×D67#41semidirect
982. #3294D67semidirect
996. C67#61183semidirect
1013. #547C2×D67semidirect
1027. D42C2×D67semidirect
1054. #486C2×D67semidirect
1069. #480C2×D67semidirect
1070. #480C2×D67semidirect
1078. #474C2×D67semidirect
1091. #466C2×D67semidirect
1092. #466C2×D67semidirect
1102. #459C2×D67semidirect
1117. #447C2×D67semidirect
1118. #447C2×D67semidirect
1126. C4×D8C2×D67semidirect
1134. C8×D4C2×D67semidirect
1163. C2×#102C2×D67semidirect
1164. C2×#102C2×D67semidirect
1215. C2×D8C22×D67semidirect
1229. C22×C8C22×D67semidirect
1232. C4⋊Q8C22×D67semidirect
1308. #121C22×D67semidirect
1355. C4×D4C22×D67semidirect
1372. C2×C4⋊C4C22×D67semidirect
1387. #107C22×D67semidirect
1388. #107C22×D67semidirect
1389. #107C22×D67semidirect
1399. C4⋊C8C22×D67semidirect
1436. #102C22×D67semidirect
1437. #102C22×D67semidirect
1438. #102C22×D67semidirect
1439. #102C22×D67semidirect
1447. C22⋊C8C22×D67semidirect
1451. C4×C8C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225739332
#225738372
#225724502
#225724442
#225724152
#225724132
#225723712
#225723622
#225723572
#225723562
#225723502
#225723462
#225721662
#225721642
#225720632
#225720612
#225720202
#225705582
#225701602
#225701172
#225700332
#225698522
#225698252
#225697072
#225694722
#447×D672
#225690562
#225689292
#225687302
C2×#168633992
C67×#32942
#6118367