Finite Group Databasebeta

← #31733401

Subgroups — #31733401

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#22573943C211yesmaximal, characteristic, complemented
2#22573837C211yesmaximal, characteristic, complemented
3#22572449C211yesmaximal, characteristic, complemented
4#22572414C211yesmaximal, characteristic, complemented
5#22572412C211yesmaximal, characteristic, complemented
6#22572366C211yesmaximal, characteristic, complemented
7#22572359C211yesmaximal, characteristic, complemented
8#22572357C211yesmaximal, characteristic, complemented
9#22572351C211yesmaximal, characteristic, complemented
10#22572350C211yesmaximal, characteristic, complemented
11#22572345C211yesmaximal, characteristic, complemented
12#22572167C211yesmaximal, characteristic, complemented
13#22572165C211yesmaximal, characteristic, complemented
14#22572064C211yesmaximal, characteristic, complemented
15#22572062C211yesmaximal, characteristic, complemented
16#22572021C211yesmaximal, characteristic, complemented
17#22572015C211yesmaximal, characteristic, complemented
18#22570558C211yesmaximal, characteristic, complemented
19#22570164C211yesmaximal, characteristic, complemented
20#22570121C211yesmaximal, characteristic, complemented
21#22570035C211yesmaximal, characteristic, complemented
22#22569855C211yesmaximal, characteristic, complemented
23#22569827C211yesmaximal, characteristic, complemented
24#22569707C211yesmaximal, characteristic, complemented
25#22569472C211yesmaximal, characteristic, complemented
26#447×D67C211yesmaximal, characteristic, complemented
27#22569056C211yesmaximal, characteristic, complemented
28#22568938C211yesmaximal, characteristic, complemented
29#22568734C211yesmaximal, characteristic, complemented
30#418×D67C211yesmaximal, characteristic, complemented
31C67×#3325C211yesmaximal, characteristic, complemented
32C2×#14524088C2211yescharacteristic
33C22×D4×D67C2211yescharacteristic
34C2×#14524067C2211yescharacteristic, complemented
35C2×D8×D67C2211yescharacteristic
36C2×D8×D67C2211yescharacteristic, complemented
37C2×#14524051C2211yescharacteristic, complemented
38C2×M16×D67C2211yescharacteristic, complemented
39#16864109C2211yescharacteristic, complemented
40#16864096C2211yescharacteristic, complemented
41#16864093C2211yescharacteristic, complemented
42#16864092C2211yescharacteristic, complemented
43#16864090C2211yescharacteristic, complemented
44#16864076—21no—
45#16864070—21no—
46#16864049C2211yescharacteristic, complemented
47#16864046C2211yescharacteristic, complemented
48#16864043C2211yescharacteristic, complemented
49#16864042C2211yescharacteristic, complemented
50#16864041C2211yescharacteristic, complemented
51#16864040C2211yescharacteristic, complemented
52#16864039—21no—
53#16864035—21no—
54#16864035—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#16864010—21no—
63#16863996—21no—
64#16863962C2211yescharacteristic
65#16863962C2211yescharacteristic, complemented
66#16863959C2211yescharacteristic
67#16863956—21no—
68#16863954—21no—
69#16863945—21no—
70#16863924—21no—
71#16863906C2211yescharacteristic
72#16863905C2211yescharacteristic
73#121×D67C2211yescharacteristic, complemented
74C2×#14524011—21no—
75#120×D67—21no—
76#16863876C2211yescharacteristic, complemented
77#16863868C2211yescharacteristic
78#16863868C2211yescharacteristic, complemented
79#117×D67C2211yescharacteristic, complemented
80#16863760C2211yescharacteristic, complemented
81#16863759C2211yescharacteristic, complemented
82#16863758C2211yescharacteristic, complemented
83#16863754C2211yescharacteristic, complemented
84#16863751C2211yescharacteristic, complemented
85#16863749C2211yescharacteristic, complemented
86#16863741C2211yescharacteristic, complemented
87#16863738C2211yescharacteristic, complemented
88#16863737C2211yescharacteristic, complemented
89#16863733C2211yescharacteristic, complemented
90#16863728C2211yescharacteristic, complemented
91#16863723C2211yescharacteristic, complemented
92#16863720C2211yescharacteristic, complemented
93#16863718C2211yescharacteristic, complemented
94#16863717C2211yescharacteristic, complemented
95#16863716C2211yescharacteristic, complemented
96#16863713C2211yescharacteristic, complemented
97#16863712C2211yescharacteristic, complemented
98#16863710C2211yescharacteristic, complemented
99#16863708C2211yescharacteristic, complemented
100#16863708C2211yescharacteristic, complemented
101#16863698C2211yescharacteristic, complemented
102#16863697C2211yescharacteristic, complemented
103#16863696C2211yescharacteristic, complemented
104#16863695C2211yescharacteristic, complemented
105#16863685C2211yescharacteristic, complemented
106#16863674C2211yescharacteristic, complemented
107#16863673C2211yescharacteristic, complemented
108#16863650C2211yescharacteristic, complemented
109#16863649C2211yescharacteristic, complemented
110#16863647C2211yescharacteristic, complemented
111#16863646C2211yescharacteristic, complemented
112#16863642C2211yescharacteristic, complemented
113#16863640C2211yescharacteristic, complemented
114#16863631C2211yescharacteristic, complemented
115#16863631C2211yescharacteristic, complemented
116#16863631C2211yescharacteristic, complemented
117#16863630C2211yescharacteristic, complemented
118#16863630C2211yescharacteristic, complemented
119#16863629C2211yescharacteristic, complemented
120#16863626C2211yescharacteristic, complemented
121#16863624C2211yescharacteristic, 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#16863471C2211yescharacteristic, complemented
151#16863468C2211yescharacteristic, complemented
152#16863466C2211yescharacteristic, complemented
153#16863465C2211yescharacteristic, complemented
154#16863465C2211yescharacteristic, complemented
155C8×D268C2211yescharacteristic, complemented
156(C22⋊D67)⋊C8C2211yescharacteristic, complemented
157#16863435C2211yescharacteristic, complemented
158#16863433C2211yescharacteristic, complemented
159#16863431C2211yescharacteristic, complemented
160#16863421C2211yescharacteristic, complemented
161#16863402C2211yescharacteristic, complemented
162#16863401C2211yescharacteristic, complemented
163#16863400C2211yescharacteristic, complemented
164#16863399C2211yescharacteristic
165#16863399C2211yescharacteristic
166#16863399C2211yescharacteristic, complemented
167#16863399C2211yescharacteristic, complemented
168#16863399C2211yescharacteristic, complemented
169#16863399C2211yescharacteristic, complemented
170#16863398C2211yescharacteristic, complemented
171#16863394C2211yescharacteristic, complemented
172#16863394C2211yescharacteristic, complemented
173#16863390C2211yescharacteristic, complemented
174#16863389C2211yescharacteristic, complemented
175#16863389C2211yescharacteristic, complemented
176#16863389C2211yescharacteristic, complemented
177C2×#14523964C2211yescharacteristic, complemented
178#102×D67C2211yescharacteristic
179#102×D67C2211yescharacteristic, complemented
180#102×D67C2211yescharacteristic, complemented
181#102×D67C2211yescharacteristic, complemented
182#102×D67C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#102×D67C2211yescharacteristic, complemented
185#16863361C2211yescharacteristic, complemented
186C22⋊C8×D67C2211yescharacteristic, complemented
187#16863350C2211yescharacteristic, complemented
188#555×C67C2211yescharacteristic, complemented
189D42×C67C2211yescharacteristic, complemented
190#486×C67C2211yescharacteristic, complemented
191#482×C67C2211yescharacteristic, complemented
192#482×C67C2211yescharacteristic, complemented
193#476×C67C2211yescharacteristic, complemented
194#469×C67C2211yescharacteristic, complemented
195#469×C67C2211yescharacteristic, complemented
196#459×C67C2211yescharacteristic, complemented
197#447×C67C2211yescharacteristic, complemented
198#447×C67C2211yescharacteristic, complemented
199C4×D8×C67C2211yescharacteristic, complemented
200#436×C67C2211yescharacteristic, complemented
201#418×C67C2211yescharacteristic, complemented
202#418×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204#14524088—24no—
205#14524088—42no—
206C2×#11761629—21no—
207C2×#11761628C2311yescharacteristic
208C2×#11761628C2311yescharacteristic
209C2×#11761627—21no—
210C2×#11761627—21no—
211C2×#11761627C2311yescharacteristic
212C2×#11761627C2311yescharacteristic
213C22×D268C2311yescharacteristic
214C22×C22⋊D67—21no—
215C22×C22⋊D67—21no—
216C22×C22⋊D67—21no—
217C22×C22⋊D67—21no—
218C2×D4×D67—24no—
219C2×D4×D67—21no—
220C2×D4×D67—21no—
221C2×D4×D67—21no—
222C2×D4×D67—21no—
223C2×D4×D67—21no—
224C2×D4×D67—21no—
225C2×D4×D67—42no—
226C2×D4×D67C2311yescharacteristic
227C2×D4×D67C2311yescharacteristic
228C2×D4×D67C2311yescharacteristic
229C2×D4×D67C2311yescharacteristic
230C2×D4×D67C2311yescharacteristic
231C2×D4×D67C2311yescharacteristic
232C22×C4×D67C2311yescharacteristic
233#14524067—42no—
234C2×#11761617C2311yescharacteristic, complemented
235C2×#11761616C2311yescharacteristic, complemented
236C2×D536C2311yescharacteristic
237C2×D536C2311yescharacteristic
238C2×#11761613C2311yescharacteristic
239C2×#11761613C2311yescharacteristic
240C2×#11761613C2311yescharacteristic
241C2×#11761613C2311yescharacteristic
242C2×#11761613C2311yescharacteristic, complemented
243D8×D67—24no—
244D8×D67—42no—
245#14524051—42no—
246C2×#11761612C2311yescharacteristic
247C2×#11761611C2311yescharacteristic
248C2×#11761611C2311yescharacteristic
249C2×#11761611C2311yescharacteristic, complemented
250M16×D67—42no—
251C22×C67⋊C8C2311yescharacteristic, complemented
252C2×C8×D67C2311yescharacteristic
253C2×C8×D67C2311yescharacteristic
254C2×C8×D67C2311yescharacteristic
255C2×C8×D67C2311yescharacteristic
256C2×C8×D67C2311yescharacteristic, complemented
257#14524042C2311yescharacteristic, complemented
258#14524041—21no—
259#14524039—21no—
260#14524039—21no—
261#14524039C2311yescharacteristic
262#14524038—21no—
263#14524037—21no—
264#14524036—21no—
265#14524036—21no—
266#14524035C2311yescharacteristic, complemented
267#14524034C2311yescharacteristic, complemented
268#14524033—21no—
269#14524031—21no—
270#14524031C2311yescharacteristic
271#14524030C2311yescharacteristic
272#14524029—21no—
273#14524029—21no—
274#14524029—21no—
275#14524028—21no—
276#14524028—21no—
277#14524028—21no—
278#14524028D411yescharacteristic
279#14524027—21no—
280#14524026—21no—
281#14524025—21no—
282#14524025—21no—
283#14524025—21no—
284#14524025—21no—
285#14524025—21no—
286#14524025D411yescharacteristic
287#14524024—21no—
288#14524024—21no—
289#14524024—21no—
290#14524023C2311yescharacteristic
291#14524022C2311yescharacteristic
292#14524021—21no—
293#14524021D411yescharacteristic
294#14524020—21no—
295#14524020D411yescharacteristic
296#14524019—21no—
297#14524019—21no—
298#14524018C2311yescharacteristic
299#14524018C2311yescharacteristic
300#14524018C2311yescharacteristic, complemented
301#14524017—21no—
302#14524017C2311yescharacteristic
303#14524017C2311yescharacteristic
304#14524017C2311yescharacteristic, complemented
305#14524016—21no—
306#14524016—21no—
307#14524016—21no—
308#14524016—21no—
309#14524016—21no—
310#14524016—21no—
311#14524016D411yescharacteristic
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#14524014—21no—
322#14524014C2311yescharacteristic
323#14524014C2311yescharacteristic
324#14524014C2311yescharacteristic
325#14524014C2311yescharacteristic, complemented
326#14524013—21no—
327#14524013—21no—
328#14524013—21no—
329#14524013—21no—
330#14524013D411yescharacteristic
331#14524012—21no—
332#14524012—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#14524011—21no—
344#14524011D411yescharacteristic
345C4×Dic134—21no—
346C4×D268—21no—
347C4×D268—21no—
348C4×D268C2311yescharacteristic
349C4×D268C2311yescharacteristic
350C4×D268C2311yescharacteristic, complemented
351D4×Dic67—21no—
352D4×Dic67C2311yescharacteristic
353D4×Dic67C2311yescharacteristic, complemented
354#14524005C2311yescharacteristic
355#14524005C2311yescharacteristic, complemented
356C4×C22⋊D67—21no—
357C4×C22⋊D67—21no—
358C4×C22⋊D67—21no—
359C4×C22⋊D67C2311yescharacteristic
360C4×C22⋊D67C2311yescharacteristic
361(C22⋊D67)⋊C4—21no—
362(C22⋊D67)⋊C4—21no—
363(C22⋊D67)⋊C4—21no—
364(C22⋊D67)⋊C4—21no—
365(C22⋊D67)⋊C4—21no—
366(C22⋊D67)⋊C4—21no—
367(C22⋊D67)⋊C4—21no—
368#14524002C2311yescharacteristic
369#14524001C2311yescharacteristic
370#14524001C2311yescharacteristic
371#14524001C2311yescharacteristic
372#14524001C2311yescharacteristic, complemented
373#14524000—21no—
374#14524000—21no—
375#14524000C2311yescharacteristic
376#14523999—21no—
377C2×C4⋊Dic67C2311yescharacteristic, complemented
378C4⋊C4×D67C2311yescharacteristic
379C4⋊C4×D67C2311yescharacteristic
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—
386C22⋊C4×D67—21no—
387C22⋊C4×D67—21no—
388C22⋊C4×D67—21no—
389C22⋊C4×D67—21no—
390C22⋊C4×D67—21no—
391C22⋊C4×D67—21no—
392C42×D67—21no—
393#14523977C2311yescharacteristic, complemented
394#14523977C2311yescharacteristic, complemented
395#14523976C2311yescharacteristic, complemented
396#14523976C2311yescharacteristic, complemented
397#14523976C2311yescharacteristic, complemented
398#14523975C2311yescharacteristic, 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
444C22×D4×C67—21no—
445C22×D4×C67C2311yescharacteristic
446C22×D4×C67C2311yescharacteristic
447C2×D8×C67C2311yescharacteristic
448C2×D8×C67C2311yescharacteristic
449C2×D8×C67C2311yescharacteristic, complemented
450C2×M16×C67C2311yescharacteristic
451C2×M16×C67C2311yescharacteristic, complemented
452C4⋊Q8×C67C2311yescharacteristic, complemented
453#127×C67C2311yescharacteristic
454#124×C67—21no—
455#124×C67—21no—
456#121×C67—21no—
457#121×C67—21no—
458#121×C67C2311yescharacteristic
459#121×C67C2311yescharacteristic
460#121×C67C2311yescharacteristic
461#121×C67C2311yescharacteristic, complemented
462#120×C67—21no—
463#120×C67—21no—
464C4×D4×C67C2311yescharacteristic
465C4×D4×C67C2311yescharacteristic
466C4×D4×C67C2311yescharacteristic, complemented
467#117×C67—21no—
468#117×C67C2311yescharacteristic
469#117×C67C2311yescharacteristic, complemented
470#107×C67C2311yescharacteristic, complemented
471#106×C67C2311yescharacteristic, complemented
472#106×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#11761629—82no—
499#11761628—22no—
500#11761628—22no—
501#11761628—22no—
502#11761628—41no—
503#11761627—22no—
504#11761627—22no—
505#11761627—22no—
506#11761627—41no—
507#11761627—44no—
508#11761627—82no—
509C2×Dic134—21no—
510C2×Dic134C2×D411yescharacteristic
511C2×Dic134C2411yescharacteristic
512C2×D268—22no—
513C2×D268—21no—
514C2×D268—21no—
515C2×D268—21no—
516C2×D268—21no—
517C2×D268—41no—
518C2×D268C2×D411yescharacteristic
519C2×D268C2×D411yescharacteristic
520C2×D268C2411yescharacteristic
521C2×D268C2411yescharacteristic
522C2×D268C2411yescharacteristic
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—21no—
541C2×C22⋊D67—44no—
542C2×C22⋊D67—44no—
543C2×C22⋊D67—44no—
544C2×C22⋊D67—82no—
545C2×C22⋊D67C2×D411yescharacteristic
546C2×C22⋊D67C2×D411yescharacteristic
547C2×C22⋊D67C2×D411yescharacteristic
548C2×C22⋊D67C2×D411yescharacteristic
549D4×D67—22no—
550D4×D67—22no—
551D4×D67—22no—
552D4×D67—22no—
553D4×D67—22no—
554D4×D67—22no—
555D4×D67—22no—
556D4×D67—22no—
557D4×D67—41no—
558D4×D67—41no—
559D4×D67—41no—
560D4×D67—44no—
561D4×D67—44no—
562D4×D67—44no—
563D4×D67—82no—
564D4×D67—82no—
565D4×D67—82no—
566D4×D67#4114yescomplemented
567C22×Dic67—21no—
568C22×Dic67—21no—
569C22×Dic67—21no—
570C22×Dic67—21no—
571C22×Dic67—21no—
572C22×Dic67C2×D411yescharacteristic
573C2×C4×D67—22no—
574C2×C4×D67—22no—
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×D67—21no—
582C2×C4×D67—21no—
583C2×C4×D67—21no—
584C2×C4×D67C2×D411yescharacteristic
585C2×C4×D67C2×D411yescharacteristic
586C2×C4×D67C2411yescharacteristic
587C2×C4×D67C2411yescharacteristic
588C2×C4×D67C2411yescharacteristic
589#11761617—41no—
590#11761616—41no—
591D536—22no—
592D536—41no—
593#11761613—22no—
594#11761613—22no—
595#11761613—41no—
596#11761613—41no—
597#11761613—41no—
598#11761612—41no—
599#11761611—22no—
600#11761611—22no—
601#11761611—41no—
602C2×C67⋊C8—41no—
603C2×C67⋊C8C2411yescharacteristic
604C2×C67⋊C8C2411yescharacteristic
605C2×C67⋊C8C2411yescharacteristic
606C2×C67⋊C8C2411yescharacteristic
607C8×D67—22no—
608C8×D67—22no—
609C8×D67—41no—
610C8×D67—41no—
611C8×D67—41no—
612C4⋊Dic67—21no—
613C4⋊Dic67—21no—
614C4⋊Dic67—21no—
615C4⋊Dic67C2×D411yescharacteristic
616C4⋊Dic67C2411yescharacteristic
617C4⋊Dic67C2411yescharacteristic
618C4⋊Dic67C2411yescharacteristic
619C4⋊Dic67C2411yescharacteristic
620Dic67⋊C4—21no—
621Dic67⋊C4—21no—
622Dic67⋊C4—21no—
623Dic67⋊C4—21no—
624Dic67⋊C4—21no—
625Dic67⋊C4—21no—
626Dic67⋊C4—21no—
627Dic67⋊C4—21no—
628Dic67⋊C4—21no—
629Dic67⋊C4C2×D411yescharacteristic
630Dic67⋊C4C2×D411yescharacteristic
631Dic67⋊C4C2×D411yescharacteristic
632Dic67⋊C4C2×D411yescharacteristic
633C22⋊Dic67—21no—
634C22⋊Dic67—21no—
635C22⋊Dic67—21no—
636C22⋊Dic67—21no—
637C22⋊Dic67—21no—
638C22⋊Dic67—21no—
639C22⋊Dic67—21no—
640C22⋊Dic67—21no—
641C22⋊Dic67—21no—
642C22⋊Dic67—21no—
643C22⋊Dic67C2×D411yescharacteristic
644C22⋊Dic67C2×D411yescharacteristic
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)⋊C4—21no—
660(C2×D67)⋊C4—21no—
661(C2×D67)⋊C4—21no—
662(C2×D67)⋊C4C2×D411yescharacteristic
663(C2×D67)⋊C4C2×D411yescharacteristic
664(C2×D67)⋊C4C2×D411yescharacteristic
665(C2×D67)⋊C4C2×D411yescharacteristic
666(C2×D67)⋊C4C2×D411yescharacteristic
667(C2×D67)⋊C4C2×D411yescharacteristic
668C4×Dic67—21no—
669C4×Dic67—21no—
670C4×Dic67—21no—
671C4×Dic67—21no—
672C4×Dic67—21no—
673C4×Dic67C2411yescharacteristic
674C24×C67—21no—
675C24×C67—21no—
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×C67C2411yescharacteristic
698C22×C4×C67C2411yescharacteristic
699D8×C67—22no—
700D8×C67—41no—
701D8×C67—41no—
702M16×C67—41no—
703M16×C67—41no—
704C2×C8×C67C2411yescharacteristic
705C2×C8×C67C2411yescharacteristic
706C2×C8×C67C2411yescharacteristic
707C2×C8×C67C2411yescharacteristic
708C4⋊C4×C67—21no—
709C4⋊C4×C67C2×D411yescharacteristic
710C4⋊C4×C67C2411yescharacteristic
711C4⋊C4×C67C2411yescharacteristic
712C4⋊C4×C67C2411yescharacteristic
713C4⋊C4×C67C2411yescharacteristic
714C22⋊C4×C67—21no—
715C22⋊C4×C67—21no—
716C22⋊C4×C67—21no—
717C22⋊C4×C67—21no—
718C22⋊C4×C67—21no—
719C22⋊C4×C67—21no—
720C22⋊C4×C67—21no—
721C22⋊C4×C67—21no—
722C22⋊C4×C67C2×D411yescharacteristic
723C22⋊C4×C67C2×D411yescharacteristic
724C42×C67—21no—
725C42×C67—21no—
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—21no—
740C22×D67—22no—
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—21no—
772D4×C67—21no—
773D4×C67—21no—
774D4×C67—21no—
775D4×C67—21no—
776D4×C67—21no—
777D4×C67—21no—
778D4×C67—41no—
779D4×C67—42no—
780D4×C67—42no—
781D4×C67—42no—
782D4×C67—81no—
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—81no—
797C2×C4×C67—81no—
798C2×C4×C67C22×D411yescharacteristic
799C2×C4×C67C22×D411yescharacteristic
800C2×C4×C67C22×D411yescharacteristic
801C2×C4×C67C22×D411yescharacteristic
802C2×C4×C67C2511yescharacteristic
803C22⋊D67—22no—
804C22⋊D67—22no—
805C22⋊D67—24no—
806C22⋊D67—22no—
807C22⋊D67—41no—
808C22⋊D67—42no—
809C22⋊D67—42no—
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—81no—
819C22⋊D67—81no—
820C22⋊D67—81no—
821C22⋊D67—81no—
822C22⋊D67—81no—
823C22⋊D67—81no—
824C22⋊D67—81no—
825C2×Dic67—22no—
826C2×Dic67—21no—
827C2×Dic67—21no—
828C2×Dic67—21no—
829C2×Dic67—21no—
830C2×Dic67—21no—
831C2×Dic67—42no—
832C2×Dic67—42no—
833C2×Dic67—81no—
834C2×Dic67—81no—
835C2×Dic67—81no—
836C2×Dic67C22×D411yescharacteristic
837C2×Dic67C22×D411yescharacteristic
838C2×Dic67C22×D411yescharacteristic
839C2×Dic67C22×D411yescharacteristic
840C2×Dic67C22×D411yescharacteristic
841D268—22no—
842D268—22no—
843D268—21no—
844D268—21no—
845D268—21no—
846D268—21no—
847D268—21no—
848D268—42no—
849D268—42no—
850D268—81no—
851D268—81no—
852D268C2×#4112yes—
853C4×D67—22no—
854C4×D67—21no—
855C4×D67—21no—
856C4×D67—21no—
857C4×D67—21no—
858C4×D67—22no—
859C4×D67—42no—
860C4×D67—42no—
861C4×D67—81no—
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—21no—
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—41no—
900C22×C67—84no—
901C22×C67—162no—
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—44no—
912C2×D67—41no—
913C2×D67—41no—
914C2×D67—41no—
915C2×D67—41no—
916C2×D67—41no—
917C2×D67—41no—
918C2×D67—41no—
919C2×D67—41no—
920C2×D67—84no—
921C2×D67—84no—
922C2×D67—84no—
923C2×D67—84no—
924C2×D67—84no—
925C2×D67—162no—
926C2×D67—162no—
927C2×D67#54612yes—
928C2×D67#57612yes—
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—41no—
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—22no—
961D67—41no—
962D67—42no—
963D67—81no—
964D67—81no—
965#3494—671no—
966#3484—671no—
967#3325—671no—
968#3325D6711yescharacteristic, complemented
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#3294—671no—
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#555C2×D6711yescharacteristic, complemented
1006#553—671no—
1007#553—671no—
1008#553—671no—
1009#553—671no—
1010#551—1341no—
1011#551—1341no—
1012#547—671no—
1013#547—671no—
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#482C2×D6711yescharacteristic, complemented
1064#482C2×D6711yescharacteristic, complemented
1065#481—671no—
1066#481—671no—
1067#481—671no—
1068#480—671no—
1069#480—671no—
1070#480—671no—
1071#478—671no—
1072#478—671no—
1073#478—671no—
1074#478—671no—
1075#476—671no—
1076#476C2×D6711yescharacteristic, complemented
1077#474—671no—
1078#474—671no—
1079#469—671no—
1080#469—671no—
1081#469—671no—
1082#469—671no—
1083#469C2×D6711yescharacteristic, complemented
1084#469C2×D6711yescharacteristic, complemented
1085#468—671no—
1086#468—671no—
1087#466—671no—
1088#466—671no—
1089#466—671no—
1090#466—671no—
1091#466—671no—
1092#466—671no—
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#436C2×D6711yescharacteristic, complemented
1129#435—671no—
1130#435—671no—
1131#435—671no—
1132#435—671no—
1133C8×D4—671no—
1134C8×D4—671no—
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#418C2×D6711yescharacteristic, complemented
1149#418C2×D6711yescharacteristic, complemented
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×#102—671no—
1164C2×#102—671no—
1165#408—671no—
1166C2×C22⋊C8—671no—
1167#405—671no—
1168C25—1341no—
1169H(5,𝔽2)—2682no—
1170H(5,𝔽2)—1344no—
1171C2×#41—671no—
1172C2×#41—671no—
1173C2×#41—671no—
1174C2×#41—671no—
1175C2×#41—1341no—
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×M16C22×D6711yescharacteristic
1223C2×M16C22×D6711yescharacteristic, complemented
1224C22×C8—671no—
1225C22×C8—671no—
1226C22×C8—671no—
1227C22×C8—671no—
1228C22×C8—671no—
1229C22×C8—671no—
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—21no—
1245#124—21no—
1246#124—671no—
1247#124—671no—
1248#124—1341no—
1249#124—1341no—
1250#124—1341no—
1251#124—1341no—
1252#123—671no—
1253#123—671no—
1254#123—1341no—
1255#123—1341no—
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—671no—
1268C22⋊Q8—671no—
1269C22⋊Q8—671no—
1270C22⋊Q8—671no—
1271C22⋊Q8—1341no—
1272C22⋊Q8—1341no—
1273C22⋊Q8—1341no—
1274C22⋊Q8—1341no—
1275#121—21no—
1276#121—21no—
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—671no—
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—21no—
1357#117—671no—
1358#117—671no—
1359#117—671no—
1360#117—671no—
1361#117—671no—
1362#117—671no—
1363#117—1341no—
1364#117—1341no—
1365#117—1341no—
1366#117C22×D6711yescharacteristic
1367#117C22×D6711yescharacteristic, complemented
1368C2×C4⋊C4—671no—
1369C2×C4⋊C4—671no—
1370C2×C4⋊C4—671no—
1371C2×C4⋊C4—671no—
1372C2×C4⋊C4—671no—
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#107—671no—
1388#107—671no—
1389#107C22×D6711yescharacteristic, complemented
1390#106—671no—
1391#106—671no—
1392#106—671no—
1393#106—671no—
1394#106C22×D6711yescharacteristic, complemented
1395#106C22×D6711yescharacteristic, complemented
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—2681no—
1466#41—2684no—
1467#41—2681no—
1468#41—5362no—
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—1341no—
1518C2×D4—1342no—
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—671no—
1556C22×C4—671no—
1557C22×C4—671no—
1558C22×C4—671no—
1559C22×C4—671no—
1560C22×C4—671no—
1561C22×C4—1341no—
1562C22×C4—1341no—
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—41no—
1592M16—41no—
1593M16—2681no—
1594M16—2681no—
1595M16—1342no—
1596M16—1342no—
1597C2×C8—2681no—
1598C2×C8—2681no—
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—671no—
1613C4⋊C4—671no—
1614C4⋊C4—671no—
1615C4⋊C4—671no—
1616C4⋊C4—671no—
1617C4⋊C4—671no—
1618C4⋊C4—671no—
1619C4⋊C4—671no—
1620C4⋊C4—671no—
1621C4⋊C4—1341no—
1622C4⋊C4—1341no—
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—21no—
1645C22⋊C4—21no—
1646C22⋊C4—671no—
1647C22⋊C4—671no—
1648C22⋊C4—671no—
1649C22⋊C4—671no—
1650C22⋊C4—671no—
1651C22⋊C4—671no—
1652C22⋊C4—671no—
1653C22⋊C4—671no—
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—21no—
1684C42—21no—
1685C42—671no—
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—1342no—
1729C23—1344no—
1730C23—1341no—
1731C23—1341no—
1732C23—1341no—
1733C23C2×D4×D6711yescharacteristic
1734C23C2×D4×D6711yescharacteristic
1735Q8—81no—
1736Q8—5361no—
1737Q8—1342no—
1738Q8—1341no—
1739Q8—1341no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—41no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—2682no—
1757D4—2682no—
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—672no—
1779D4—1342no—
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—81no—
1800C2×C4—81no—
1801C2×C4—2682no—
1802C2×C4—2682no—
1803C2×C4—2682no—
1804C2×C4—2682no—
1805C2×C4—5361no—
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—22no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—84no—
1866C22—2684no—
1867C22—2681no—
1868C22—2681no—
1869C22—2681no—
1870C22—2681no—
1871C22—2681no—
1872C22—2681no—
1873C22—2681no—
1874C22—2681no—
1875C22—162no—
1876C22—5364no—
1877C22—5364no—
1878C22—5364no—
1879C22—5364no—
1880C22—5364no—
1881C22—10722no—
1882C22—10722no—
1883C22—672no—
1884C22—672no—
1885C22—1342no—
1886C22—1341no—
1887C22—1341no—
1888C22—1341no—
1889C22—1341no—
1890C22—1341no—
1891C22—1341no—
1892C22—1341no—
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—41no—
1915C2—41no—
1916C2—42no—
1917C2—81no—
1918C2—81no—
1919C2—81no—
1920C2—2682no—
1921C2—2681no—
1922C2—5361no—
1923C2—5361no—
1924C2—1342no—
1925C2—1342no—
1926C2#546×D6711yescharacteristic
1927C2#576×D6711yescharacteristic
1928C2#2257498511yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3325C2
socleC22×C67C23×D4
hypercenter#3325D67
hypocenterC67#61183
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3325

Complements

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

NH ≅ G/Ntype
1. #22573943C2semidirect
2. #22573837C2semidirect
3. #22572449C2semidirect
4. #22572414C2semidirect
5. #22572412C2semidirect
6. #22572366C2semidirect
7. #22572359C2semidirect
8. #22572357C2semidirect
9. #22572351C2semidirect
10. #22572350C2semidirect
11. #22572345C2semidirect
12. #22572167C2semidirect
13. #22572165C2semidirect
14. #22572064C2semidirect
15. #22572062C2semidirect
16. #22572021C2semidirect
17. #22572015C2semidirect
18. #22570558C2semidirect
19. #22570164C2semidirect
20. #22570121C2semidirect
21. #22570035C2semidirect
22. #22569855C2semidirect
23. #22569827C2semidirect
24. #22569707C2semidirect
25. #22569472C2semidirect
26. #447×D67C2semidirect
27. #22569056C2semidirect
28. #22568938C2semidirect
29. #22568734C2semidirect
30. #418×D67C2semidirect
31. C67×#3325C2semidirect
34. C2×#14524067C22semidirect
36. C2×D8×D67C22semidirect
37. C2×#14524051C22semidirect
38. C2×M16×D67C22semidirect
39. #16864109C22semidirect
40. #16864096C22semidirect
41. #16864093C22semidirect
42. #16864092C22semidirect
43. #16864090C22semidirect
46. #16864049C22semidirect
47. #16864046C22semidirect
48. #16864043C22semidirect
49. #16864042C22semidirect
50. #16864041C22semidirect
51. #16864040C22semidirect
56. #16864031C22semidirect
57. #16864030C22semidirect
59. D4×C22⋊D67C22semidirect
61. #16864023C22semidirect
65. #16863962C22semidirect
73. #121×D67C22semidirect
76. #16863876C22semidirect
78. #16863868C22semidirect
79. #117×D67C22semidirect
80. #16863760C22semidirect
81. #16863759C22semidirect
82. #16863758C22semidirect
83. #16863754C22semidirect
84. #16863751C22semidirect
85. #16863749C22semidirect
86. #16863741C22semidirect
87. #16863738C22semidirect
88. #16863737C22semidirect
89. #16863733C22semidirect
90. #16863728C22semidirect
91. #16863723C22semidirect
92. #16863720C22semidirect
93. #16863718C22semidirect
94. #16863717C22semidirect
95. #16863716C22semidirect
96. #16863713C22semidirect
97. #16863712C22semidirect
98. #16863710C22semidirect
99. #16863708C22semidirect
100. #16863708C22semidirect
101. #16863698C22semidirect
102. #16863697C22semidirect
103. #16863696C22semidirect
104. #16863695C22semidirect
105. #16863685C22semidirect
106. #16863674C22semidirect
107. #16863673C22semidirect
108. #16863650C22semidirect
109. #16863649C22semidirect
110. #16863647C22semidirect
111. #16863646C22semidirect
112. #16863642C22semidirect
113. #16863640C22semidirect
114. #16863631C22semidirect
115. #16863631C22semidirect
116. #16863631C22semidirect
117. #16863630C22semidirect
118. #16863630C22semidirect
119. #16863629C22semidirect
120. #16863626C22semidirect
121. #16863624C22semidirect
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. #16863471C22semidirect
151. #16863468C22semidirect
152. #16863466C22semidirect
153. #16863465C22semidirect
154. #16863465C22semidirect
155. C8×D268C22semidirect
156. (C22⋊D67)⋊C8C22semidirect
157. #16863435C22semidirect
158. #16863433C22semidirect
159. #16863431C22semidirect
160. #16863421C22semidirect
161. #16863402C22semidirect
162. #16863401C22semidirect
163. #16863400C22semidirect
166. #16863399C22semidirect
167. #16863399C22semidirect
168. #16863399C22semidirect
169. #16863399C22semidirect
170. #16863398C22semidirect
171. #16863394C22semidirect
172. #16863394C22semidirect
173. #16863390C22semidirect
174. #16863389C22semidirect
175. #16863389C22semidirect
176. #16863389C22semidirect
177. C2×#14523964C22semidirect
179. #102×D67C22semidirect
180. #102×D67C22semidirect
181. #102×D67C22semidirect
182. #102×D67C22semidirect
183. #102×D67C22semidirect
184. #102×D67C22semidirect
185. #16863361C22semidirect
186. C22⋊C8×D67C22semidirect
187. #16863350C22semidirect
188. #555×C67C22semidirect
189. D42×C67C22semidirect
190. #486×C67C22semidirect
191. #482×C67C22semidirect
192. #482×C67C22semidirect
193. #476×C67C22semidirect
194. #469×C67C22semidirect
195. #469×C67C22semidirect
196. #459×C67C22semidirect
197. #447×C67C22semidirect
198. #447×C67C22semidirect
199. C4×D8×C67C22semidirect
200. #436×C67C22semidirect
201. #418×C67C22semidirect
202. #418×C67C22semidirect
234. C2×#11761617C23semidirect
235. C2×#11761616C23semidirect
242. C2×#11761613C23semidirect
249. C2×#11761611C23semidirect
251. C22×C67⋊C8C23semidirect
256. C2×C8×D67C23semidirect
257. #14524042C23semidirect
266. #14524035C23semidirect
267. #14524034C23semidirect
300. #14524018C23semidirect
304. #14524017C23semidirect
325. #14524014C23semidirect
350. C4×D268C23semidirect
353. D4×Dic67C23semidirect
355. #14524005C23semidirect
372. #14524001C23semidirect
377. C2×C4⋊Dic67C23semidirect
381. C4⋊C4×D67C23semidirect
393. #14523977C23semidirect
394. #14523977C23semidirect
395. #14523976C23semidirect
396. #14523976C23semidirect
397. #14523976C23semidirect
398. #14523975C23semidirect
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
449. C2×D8×C67C23semidirect
451. C2×M16×C67C23semidirect
452. C4⋊Q8×C67C23semidirect
461. #121×C67C23semidirect
466. C4×D4×C67C23semidirect
469. #117×C67C23semidirect
470. #107×C67C23semidirect
471. #106×C67C23semidirect
472. #106×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
566. D4×D67#41semidirect
968. #3325D67semidirect
996. C67#61183semidirect
1005. #555C2×D67semidirect
1027. D42C2×D67semidirect
1054. #486C2×D67semidirect
1063. #482C2×D67semidirect
1064. #482C2×D67semidirect
1076. #476C2×D67semidirect
1083. #469C2×D67semidirect
1084. #469C2×D67semidirect
1102. #459C2×D67semidirect
1117. #447C2×D67semidirect
1118. #447C2×D67semidirect
1126. C4×D8C2×D67semidirect
1128. #436C2×D67semidirect
1148. #418C2×D67semidirect
1149. #418C2×D67semidirect
1215. C2×D8C22×D67semidirect
1223. C2×M16C22×D67semidirect
1232. C4⋊Q8C22×D67semidirect
1308. #121C22×D67semidirect
1355. C4×D4C22×D67semidirect
1367. #117C22×D67semidirect
1389. #107C22×D67semidirect
1394. #106C22×D67semidirect
1395. #106C22×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
#225739432
#225738372
#225724492
#225724142
#225724122
#225723662
#225723592
#225723572
#225723512
#225723502
#225723452
#225721672
#225721652
#225720642
#225720622
#225720212
#225720152
#225705582
#225701642
#225701212
#225700352
#225698552
#225698272
#225697072
#225694722
#447×D672
#225690562
#225689382
#225687342
#418×D672
C67×#33252
#6118367