Finite Group Databasebeta

← #3297×D67 #31732190

Subgroups — #3297×D67 #31732190

Order 17152.

2350 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#553×D67C211yesmaximal, characteristic, complemented
2#546×D67C211yesmaximal, characteristic, complemented
3#22572066C211yesmaximal, characteristic, complemented
4#22572065C211yesmaximal, characteristic, complemented
5#22572064C211yesmaximal, characteristic, complemented
6#22572063C211yesmaximal, characteristic, complemented
7#22572062C211yesmaximal, characteristic, complemented
8#22572061C211yesmaximal, characteristic, complemented
9#22572060C211yesmaximal, characteristic, complemented
10#22572059C211yesmaximal, characteristic, complemented
11#22572058C211yesmaximal, characteristic, complemented
12#22572057C211yesmaximal, characteristic, complemented
13#22572056C211yesmaximal, characteristic, complemented
14#22572055C211yesmaximal, characteristic, complemented
15#22572054C211yesmaximal, characteristic, complemented
16#22572053C211yesmaximal, characteristic, complemented
17#22572052C211yesmaximal, characteristic, complemented
18#488×D67C211yesmaximal, characteristic, complemented
19#484×D67C211yesmaximal, characteristic, complemented
20#482×D67C211yesmaximal, characteristic, complemented
21#478×D67C211yesmaximal, characteristic, complemented
22#466×D67C211yesmaximal, characteristic, complemented
23#465×D67C211yesmaximal, characteristic, complemented
24#463×D67C211yesmaximal, characteristic, complemented
25#449×D67C211yesmaximal, characteristic, complemented
26#447×D67C211yesmaximal, characteristic, complemented
27C4×D8×D67C211yesmaximal, characteristic, complemented
28C8×D4×D67C211yesmaximal, characteristic, complemented
29#416×D67C211yesmaximal, characteristic, complemented
30C2×#102×D67C211yesmaximal, characteristic, complemented
31C67×#3297C211yesmaximal, characteristic, complemented
32C2×#41×D67C2211yescharacteristic
33C22×D4×D67C2211yescharacteristic
34C2×SD16×D67C2211yescharacteristic, complemented
35C2×D8×D67C2211yescharacteristic
36C2×D8×D67C2211yescharacteristic
37C22×C8×D67C2211yescharacteristic
38C22×C8×D67C2211yescharacteristic, complemented
39#16864099C2211yescharacteristic, complemented
40#16864098C2211yescharacteristic, complemented
41#16864097—21no—
42#16864096C2211yescharacteristic, complemented
43#16864095—21no—
44#16864094C2211yescharacteristic, complemented
45#16864093C2211yescharacteristic, complemented
46#16864092C2211yescharacteristic, complemented
47#16864091—21no—
48#16864090C2211yescharacteristic, complemented
49#16864089—21no—
50#16864043C2211yescharacteristic, complemented
51#16864042C2211yescharacteristic, complemented
52#16864041C2211yescharacteristic, complemented
53#16864040C2211yescharacteristic, complemented
54#16864039C2211yescharacteristic, complemented
55#16864038—21no—
56#16864037C2211yescharacteristic, complemented
57#16864036—21no—
58#16864035—21no—
59#16864034C2211yescharacteristic, complemented
60#16864033—21no—
61#126×D67—21no—
62#125×D67C2211yescharacteristic, complemented
63#124×D67C2211yescharacteristic
64#123×D67—21no—
65#123×D67—21no—
66C22⋊Q8×D67C2211yescharacteristic
67#121×D67—21no—
68#121×D67—21no—
69#121×D67C2211yescharacteristic
70#121×D67C2211yescharacteristic
71#121×D67C2211yescharacteristic, complemented
72#120×D67—21no—
73C4×D4×D67—21no—
74C4×D4×D67C2211yescharacteristic
75C4×D4×D67C2211yescharacteristic
76C4×D4×D67C2211yescharacteristic, complemented
77#117×D67C2211yescharacteristic, complemented
78C2×C4⋊C4×D67C2211yescharacteristic
79C2×C22⋊C4×D67—21no—
80#16863753C2211yescharacteristic, complemented
81#16863752C2211yescharacteristic, complemented
82#16863752C2211yescharacteristic, complemented
83#16863751C2211yescharacteristic, complemented
84#16863750C2211yescharacteristic, complemented
85#16863749C2211yescharacteristic, complemented
86#16863749C2211yescharacteristic, complemented
87#16863733C2211yescharacteristic, complemented
88#16863733C2211yescharacteristic, complemented
89#16863732C2211yescharacteristic, complemented
90#16863731C2211yescharacteristic, complemented
91#16863730C2211yescharacteristic, complemented
92#16863730C2211yescharacteristic, complemented
93#16863729C2211yescharacteristic, complemented
94#16863723C2211yescharacteristic, complemented
95#16863722C2211yescharacteristic, complemented
96#16863721C2211yescharacteristic, complemented
97#16863720C2211yescharacteristic, complemented
98#16863719C2211yescharacteristic, complemented
99#16863718C2211yescharacteristic, complemented
100#16863717C2211yescharacteristic, complemented
101#16863699C2211yescharacteristic, complemented
102#16863698C2211yescharacteristic, complemented
103#16863697C2211yescharacteristic, complemented
104#16863696C2211yescharacteristic, complemented
105#16863695C2211yescharacteristic, complemented
106#16863694C2211yescharacteristic, complemented
107#16863693C2211yescharacteristic, complemented
108#16863633C2211yescharacteristic, complemented
109#16863632C2211yescharacteristic, complemented
110#16863631C2211yescharacteristic, complemented
111#16863631C2211yescharacteristic, complemented
112#16863630C2211yescharacteristic, complemented
113#16863630C2211yescharacteristic, complemented
114#16863629C2211yescharacteristic, complemented
115#16863628C2211yescharacteristic, complemented
116#16863627C2211yescharacteristic, complemented
117#16863626C2211yescharacteristic, complemented
118#16863625C2211yescharacteristic, complemented
119#16863624C2211yescharacteristic, complemented
120#16863623C2211yescharacteristic, complemented
121#16863622C2211yescharacteristic, complemented
122#16863614C2211yescharacteristic, complemented
123#16863613C2211yescharacteristic, complemented
124#16863612C2211yescharacteristic, complemented
125#16863611C2211yescharacteristic, complemented
126#16863610C2211yescharacteristic, complemented
127#16863609C2211yescharacteristic, complemented
128#16863608C2211yescharacteristic, complemented
129#16863544C2211yescharacteristic, complemented
130#16863543C2211yescharacteristic, complemented
131#16863542C2211yescharacteristic, complemented
132#16863541C2211yescharacteristic, complemented
133#16863540C2211yescharacteristic, complemented
134#16863539C2211yescharacteristic, complemented
135#16863538C2211yescharacteristic, complemented
136#16863532C2211yescharacteristic, complemented
137#16863531C2211yescharacteristic, complemented
138#16863531C2211yescharacteristic, complemented
139#16863530C2211yescharacteristic, complemented
140#16863529C2211yescharacteristic, complemented
141#16863528C2211yescharacteristic, complemented
142#16863528C2211yescharacteristic, complemented
143C4×D536C2211yescharacteristic, complemented
144D8×Dic67C2211yescharacteristic, complemented
145#16863478C2211yescharacteristic, complemented
146C4×#11761613C2211yescharacteristic, complemented
147C4×#11761613C2211yescharacteristic, complemented
148#16863476C2211yescharacteristic, complemented
149#16863476C2211yescharacteristic, complemented
150C8×D268C2211yescharacteristic, complemented
151D4×C67⋊C8C2211yescharacteristic, complemented
152#16863461C2211yescharacteristic, complemented
153C8×C22⋊D67C2211yescharacteristic, complemented
154C8×C22⋊D67C2211yescharacteristic, complemented
155(C22⋊D67)⋊C8C2211yescharacteristic, complemented
156(C22⋊D67)⋊C8C2211yescharacteristic, complemented
157#107×D67C2211yescharacteristic, complemented
158#107×D67C2211yescharacteristic, complemented
159#106×D67C2211yescharacteristic, complemented
160C4⋊C8×D67C2211yescharacteristic, complemented
161#16863393C2211yescharacteristic, complemented
162#16863392C2211yescharacteristic, complemented
163#16863391C2211yescharacteristic, complemented
164#16863391C2211yescharacteristic, complemented
165#16863390C2211yescharacteristic, complemented
166#16863389C2211yescharacteristic, complemented
167#16863389C2211yescharacteristic, complemented
168#103×D67C2211yescharacteristic, complemented
169#103×D67C2211yescharacteristic, complemented
170#103×D67C2211yescharacteristic, complemented
171C2×#14523965C2211yescharacteristic, complemented
172C2×#14523964C2211yescharacteristic, complemented
173C2×#14523963C2211yescharacteristic, complemented
174#102×D67C2211yescharacteristic
175#102×D67C2211yescharacteristic
176#102×D67C2211yescharacteristic
177#102×D67C2211yescharacteristic
178#102×D67C2211yescharacteristic
179#102×D67C2211yescharacteristic
180#102×D67C2211yescharacteristic, complemented
181#102×D67C2211yescharacteristic, complemented
182#102×D67C2211yescharacteristic, complemented
183#102×D67C2211yescharacteristic, complemented
184#102×D67C2211yescharacteristic, complemented
185C22⋊C8×D67C2211yescharacteristic
186C22⋊C8×D67C2211yescharacteristic, complemented
187C4×C8×D67C2211yescharacteristic, complemented
188#553×C67C2211yescharacteristic, complemented
189#546×C67C2211yescharacteristic, complemented
190#488×C67C2211yescharacteristic, complemented
191#484×C67C2211yescharacteristic, complemented
192#482×C67C2211yescharacteristic, complemented
193#478×C67C2211yescharacteristic, complemented
194#466×C67C2211yescharacteristic, complemented
195#465×C67C2211yescharacteristic, complemented
196#463×C67C2211yescharacteristic, complemented
197#449×C67C2211yescharacteristic, complemented
198#447×C67C2211yescharacteristic, complemented
199C4×D8×C67C2211yescharacteristic, complemented
200C8×D4×C67C2211yescharacteristic, complemented
201#416×C67C2211yescharacteristic, complemented
202C2×#102×C67C2211yescharacteristic, complemented
203C24×D67—21no—
204C2×#11761629C2311yescharacteristic
205C2×#11761628—21no—
206C2×#11761628C2311yescharacteristic
207C2×#11761627—21no—
208C2×#11761627C2311yescharacteristic
209#41×D67—24no—
210#41×D67—42no—
211C2×Q8×D67C2311yescharacteristic
212C22×D268C2311yescharacteristic
213C22×C22⋊D67—21no—
214C2×D4×D67—24no—
215C2×D4×D67—21no—
216C2×D4×D67—21no—
217C2×D4×D67—21no—
218C2×D4×D67—21no—
219C2×D4×D67—21no—
220C2×D4×D67—21no—
221C2×D4×D67—42no—
222C2×D4×D67D411yescharacteristic
223C2×D4×D67C2311yescharacteristic
224C2×D4×D67C2311yescharacteristic
225C2×D4×D67C2311yescharacteristic
226C2×D4×D67C2311yescharacteristic
227C2×D4×D67C2311yescharacteristic
228C22×C4×D67—21no—
229C22×C4×D67—21no—
230C22×C4×D67—21no—
231C22×C4×D67—21no—
232C22×C4×D67C2311yescharacteristic
233C22×C4×D67C2311yescharacteristic
234C2×#11761617C2311yescharacteristic, complemented
235C2×#11761616C2311yescharacteristic, complemented
236C2×#11761615C2311yescharacteristic, complemented
237SD16×D67—42no—
238C2×D536C2311yescharacteristic
239C2×D536C2311yescharacteristic
240C2×#11761613C2311yescharacteristic
241C2×#11761613C2311yescharacteristic
242C2×#11761613C2311yescharacteristic
243C2×#11761613C2311yescharacteristic
244D8×D67—24no—
245D8×D67—42no—
246C22×C67⋊C8C2311yescharacteristic
247C22×C67⋊C8C2311yescharacteristic, complemented
248C2×C8×D67—42no—
249C2×C8×D67—42no—
250C2×C8×D67C2311yescharacteristic
251C2×C8×D67C2311yescharacteristic
252C2×C8×D67C2311yescharacteristic
253C2×C8×D67C2311yescharacteristic
254C2×C8×D67C2311yescharacteristic
255C2×C8×D67C2311yescharacteristic
256C2×C8×D67C2311yescharacteristic, complemented
257C2×C8×D67C2311yescharacteristic, complemented
258#14524038—21no—
259#14524038—21no—
260#14524038—21no—
261#14524037—21no—
262#14524036—21no—
263#14524036—21no—
264#14524036—21no—
265#14524035C2311yescharacteristic, complemented
266#14524034C2311yescharacteristic, complemented
267#14524034C2311yescharacteristic, complemented
268#14524033—21no—
269#14524033—21no—
270#14524032C2311yescharacteristic
271#14524031C2311yescharacteristic
272#14524030C2311yescharacteristic
273#14524029—21no—
274#14524029—21no—
275#14524028—21no—
276#14524028—21no—
277#14524028—21no—
278#14524028—21no—
279#14524027—21no—
280#14524027—21no—
281#14524026—21no—
282#14524026—21no—
283#14524025—21no—
284#14524025—21no—
285#14524025—21no—
286#14524025—21no—
287#14524024—21no—
288#14524024—21no—
289#14524023C2311yescharacteristic
290#14524022C2311yescharacteristic
291#14524021—21no—
292#14524020—21no—
293#14524019C2311yescharacteristic
294#14524018—21no—
295#14524018—21no—
296#14524018C2311yescharacteristic
297#14524018C2311yescharacteristic
298#14524018C2311yescharacteristic, complemented
299#14524017—21no—
300#14524017—21no—
301#14524017C2311yescharacteristic
302#14524017C2311yescharacteristic
303#14524017C2311yescharacteristic, complemented
304#14524016—21no—
305#14524016—21no—
306#14524016—21no—
307#14524016—21no—
308#14524016—21no—
309#14524016—21no—
310#14524016—21no—
311#14524015—21no—
312#14524015—21no—
313#14524015—21no—
314#14524015—21no—
315#14524015—21no—
316#14524015—21no—
317#14524015—21no—
318#14524014—21no—
319#14524014—21no—
320#14524014C2311yescharacteristic
321#14524014C2311yescharacteristic
322#14524014C2311yescharacteristic, complemented
323#14524013—21no—
324#14524013—21no—
325#14524013—21no—
326#14524012—21no—
327#14524011—21no—
328#14524011—21no—
329#14524011—21no—
330C4×D268—21no—
331C4×D268C2311yescharacteristic
332C4×D268C2311yescharacteristic
333C4×D268C2311yescharacteristic, complemented
334D4×Dic67—21no—
335D4×Dic67D411yescharacteristic
336D4×Dic67C2311yescharacteristic
337D4×Dic67C2311yescharacteristic, complemented
338#14524005—21no—
339#14524005D411yescharacteristic
340#14524005C2311yescharacteristic
341#14524005C2311yescharacteristic, complemented
342C4×C22⋊D67—21no—
343C4×C22⋊D67—21no—
344C4×C22⋊D67—21no—
345C4×C22⋊D67—21no—
346C4×C22⋊D67C2311yescharacteristic
347C4×C22⋊D67C2311yescharacteristic
348(C22⋊D67)⋊C4—21no—
349(C22⋊D67)⋊C4—21no—
350(C22⋊D67)⋊C4—21no—
351(C22⋊D67)⋊C4—21no—
352(C22⋊D67)⋊C4D411yescharacteristic
353(C22⋊D67)⋊C4D411yescharacteristic
354#14524002C2311yescharacteristic, complemented
355#14524001C2311yescharacteristic, complemented
356#14524001C2311yescharacteristic, complemented
357#14524000—21no—
358#14523999—21no—
359C2×C4⋊Dic67C2311yescharacteristic
360C2×Dic67⋊C4—21no—
361C4⋊C4×D67—21no—
362C4⋊C4×D67—21no—
363C4⋊C4×D67—21no—
364C4⋊C4×D67—21no—
365C4⋊C4×D67—21no—
366C4⋊C4×D67D411yescharacteristic
367C4⋊C4×D67C2311yescharacteristic
368C4⋊C4×D67C2311yescharacteristic
369C4⋊C4×D67C2311yescharacteristic
370C4⋊C4×D67C2311yescharacteristic
371C4⋊C4×D67C2311yescharacteristic
372C4⋊C4×D67C2311yescharacteristic
373C2×C22⋊Dic67—21no—
374C2×(C2×D67)⋊C4—21no—
375C2×(C2×D67)⋊C4—21no—
376C22⋊C4×D67—21no—
377C22⋊C4×D67—21no—
378C22⋊C4×D67—21no—
379C22⋊C4×D67—21no—
380C22⋊C4×D67—21no—
381C22⋊C4×D67—21no—
382C22⋊C4×D67—21no—
383C22⋊C4×D67—21no—
384C22⋊C4×D67—21no—
385C22⋊C4×D67—21no—
386C22⋊C4×D67—21no—
387C22⋊C4×D67—21no—
388C22⋊C4×D67—21no—
389C22⋊C4×D67D411yescharacteristic
390C22⋊C4×D67D411yescharacteristic
391C42×D67—21no—
392C42×D67C2311yescharacteristic
393#14523977C2311yescharacteristic, complemented
394#14523977C2311yescharacteristic, complemented
395#14523976C2311yescharacteristic, complemented
396#14523976C2311yescharacteristic, complemented
397#14523976C2311yescharacteristic, complemented
398#14523976C2311yescharacteristic, complemented
399#14523975C2311yescharacteristic, 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#14523967C2311yescharacteristic, complemented
409#14523967C2311yescharacteristic, complemented
410#14523967C2311yescharacteristic, complemented
411#14523966C2311yescharacteristic, complemented
412#14523966C2311yescharacteristic, complemented
413#14523966C2311yescharacteristic, complemented
414#14523965C2311yescharacteristic
415#14523965C2311yescharacteristic
416#14523965C2311yescharacteristic
417#14523965C2311yescharacteristic
418#14523965C2311yescharacteristic
419#14523965C2311yescharacteristic
420#14523965C2311yescharacteristic, complemented
421#14523964C2311yescharacteristic
422#14523964C2311yescharacteristic
423#14523964C2311yescharacteristic
424#14523964C2311yescharacteristic
425#14523964C2311yescharacteristic
426#14523964C2311yescharacteristic
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
441C4×C67⋊C8C2311yescharacteristic, complemented
442C8×Dic67C2311yescharacteristic, complemented
443C8×Dic67C2311yescharacteristic, complemented
444C2×#41×C67C2311yescharacteristic
445C22×D4×C67C2311yescharacteristic
446C2×SD16×C67C2311yescharacteristic, complemented
447C2×D8×C67C2311yescharacteristic
448C2×D8×C67C2311yescharacteristic
449C22×C8×C67C2311yescharacteristic
450C22×C8×C67C2311yescharacteristic, complemented
451#126×C67—21no—
452#125×C67C2311yescharacteristic, complemented
453#124×C67C2311yescharacteristic
454#123×C67—21no—
455#123×C67—21no—
456C22⋊Q8×C67C2311yescharacteristic
457#121×C67—21no—
458#121×C67—21no—
459#121×C67C2311yescharacteristic
460#121×C67C2311yescharacteristic
461#121×C67C2311yescharacteristic, complemented
462#120×C67—21no—
463C4×D4×C67—21no—
464C4×D4×C67C2311yescharacteristic
465C4×D4×C67C2311yescharacteristic
466C4×D4×C67C2311yescharacteristic, complemented
467#117×C67C2311yescharacteristic, complemented
468C2×C4⋊C4×C67C2311yescharacteristic
469C2×C22⋊C4×C67—21no—
470#107×C67C2311yescharacteristic, complemented
471#107×C67C2311yescharacteristic, complemented
472#106×C67C2311yescharacteristic, complemented
473C4⋊C8×C67C2311yescharacteristic, complemented
474#103×C67C2311yescharacteristic, complemented
475#103×C67C2311yescharacteristic, complemented
476#103×C67C2311yescharacteristic, complemented
477#102×C67C2311yescharacteristic
478#102×C67C2311yescharacteristic
479#102×C67C2311yescharacteristic
480#102×C67C2311yescharacteristic
481#102×C67C2311yescharacteristic
482#102×C67C2311yescharacteristic
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—44no—
494C23×D67—44no—
495C23×D67—82no—
496C23×D67C2×D411yescharacteristic
497C23×D67C2×D411yescharacteristic
498#11761629—22no—
499#11761629—41no—
500#11761628—22no—
501#11761628—41no—
502#11761628—44no—
503#11761627—22no—
504#11761627—41no—
505#11761627—44no—
506C2×Dic134—21no—
507C2×Dic134C2411yescharacteristic
508Q8×D67—22no—
509Q8×D67—22no—
510C2×D268—22no—
511C2×D268—21no—
512C2×D268—21no—
513C2×D268—21no—
514C2×D268—21no—
515C2×D268—21no—
516C2×D268—41no—
517C2×D268C2×D411yescharacteristic
518C2×D268C2411yescharacteristic
519C2×D268C2411yescharacteristic
520C2×D268C2411yescharacteristic
521C2×C22⋊D67—21no—
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—44no—
535C2×C22⋊D67C2×D411yescharacteristic
536C2×C22⋊D67C2×D411yescharacteristic
537D4×D67—24no—
538D4×D67—22no—
539D4×D67—22no—
540D4×D67—22no—
541D4×D67—22no—
542D4×D67—22no—
543D4×D67—22no—
544D4×D67—22no—
545D4×D67—41no—
546D4×D67—41no—
547D4×D67—44no—
548D4×D67—44no—
549D4×D67—44no—
550D4×D67—44no—
551D4×D67—82no—
552D4×D67—82no—
553D4×D67#4114yes—
554C22×Dic67—21no—
555C22×Dic67—21no—
556C22×Dic67—21no—
557C22×Dic67—21no—
558C22×Dic67C2×D411yescharacteristic
559C22×Dic67C2×D411yescharacteristic
560C2×C4×D67—22no—
561C2×C4×D67—22no—
562C2×C4×D67—22no—
563C2×C4×D67—22no—
564C2×C4×D67—21no—
565C2×C4×D67—21no—
566C2×C4×D67—21no—
567C2×C4×D67—21no—
568C2×C4×D67—21no—
569C2×C4×D67—21no—
570C2×C4×D67—21no—
571C2×C4×D67—21no—
572C2×C4×D67—21no—
573C2×C4×D67—21no—
574C2×C4×D67—21no—
575C2×C4×D67—21no—
576C2×C4×D67—21no—
577C2×C4×D67—44no—
578C2×C4×D67—82no—
579C2×C4×D67—82no—
580C2×C4×D67—82no—
581C2×C4×D67C2×D411yescharacteristic
582C2×C4×D67C2×D411yescharacteristic
583C2×C4×D67C2×D411yescharacteristic
584C2×C4×D67C2×D411yescharacteristic
585C2×C4×D67C2×D411yescharacteristic
586C2×C4×D67C2×D411yescharacteristic
587C2×C4×D67C2411yescharacteristic
588C2×C4×D67C2411yescharacteristic
589C2×C4×D67C2411yescharacteristic
590#11761617—41no—
591#11761616—41no—
592#11761615—41no—
593D536—22no—
594D536—41no—
595#11761613—22no—
596#11761613—22no—
597#11761613—41no—
598#11761613—41no—
599C2×C67⋊C8—41no—
600C2×C67⋊C8—41no—
601C2×C67⋊C8C2411yescharacteristic
602C2×C67⋊C8C2411yescharacteristic
603C2×C67⋊C8C2411yescharacteristic
604C2×C67⋊C8C2411yescharacteristic
605C8×D67—22no—
606C8×D67—22no—
607C8×D67—22no—
608C8×D67—22no—
609C8×D67—41no—
610C8×D67—41no—
611C8×D67—41no—
612C8×D67—41no—
613C4⋊Dic67—21no—
614C4⋊Dic67—21no—
615C4⋊Dic67—21no—
616C4⋊Dic67—21no—
617C4⋊Dic67C2×D411yescharacteristic
618C4⋊Dic67C2411yescharacteristic
619C4⋊Dic67C2411yescharacteristic
620C4⋊Dic67C2411yescharacteristic
621C4⋊Dic67C2411yescharacteristic
622Dic67⋊C4—21no—
623Dic67⋊C4—21no—
624Dic67⋊C4—21no—
625Dic67⋊C4—21no—
626Dic67⋊C4—21no—
627Dic67⋊C4—21no—
628Dic67⋊C4—21no—
629Dic67⋊C4—21no—
630Dic67⋊C4—21no—
631Dic67⋊C4—21no—
632Dic67⋊C4—21no—
633Dic67⋊C4—21no—
634Dic67⋊C4C2×D411yescharacteristic
635Dic67⋊C4C2×D411yescharacteristic
636C22⋊Dic67—21no—
637C22⋊Dic67—21no—
638C22⋊Dic67—21no—
639C22⋊Dic67—21no—
640C22⋊Dic67—21no—
641C22⋊Dic67—21no—
642C22⋊Dic67—21no—
643C22⋊Dic67—21no—
644C22⋊Dic67—21no—
645C22⋊Dic67C2×D411yescharacteristic
646C22⋊Dic67C2×D411yescharacteristic
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)⋊C4—21no—
663(C2×D67)⋊C4—21no—
664(C2×D67)⋊C4—21no—
665(C2×D67)⋊C4C2×D411yescharacteristic
666(C2×D67)⋊C4C2×D411yescharacteristic
667(C2×D67)⋊C4C2×D411yescharacteristic
668(C2×D67)⋊C4C2×D411yescharacteristic
669C4×Dic67—21no—
670C4×Dic67—21no—
671C4×Dic67—21no—
672C4×Dic67C2×D411yescharacteristic
673C4×Dic67C2×D411yescharacteristic
674C4×Dic67C2411yescharacteristic
675C24×C67—21no—
676#41×C67—22no—
677#41×C67—41no—
678C2×Q8×C67C2411yescharacteristic
679C2×D4×C67—22no—
680C2×D4×C67—21no—
681C2×D4×C67—21no—
682C2×D4×C67—21no—
683C2×D4×C67—21no—
684C2×D4×C67—21no—
685C2×D4×C67—41no—
686C2×D4×C67C2×D411yescharacteristic
687C2×D4×C67C2411yescharacteristic
688C2×D4×C67C2411yescharacteristic
689C2×D4×C67C2411yescharacteristic
690C22×C4×C67—21no—
691C22×C4×C67—21no—
692C22×C4×C67—21no—
693C22×C4×C67—21no—
694C22×C4×C67C2411yescharacteristic
695C22×C4×C67C2411yescharacteristic
696SD16×C67—41no—
697D8×C67—22no—
698D8×C67—41no—
699C2×C8×C67—41no—
700C2×C8×C67—41no—
701C2×C8×C67C2411yescharacteristic
702C2×C8×C67C2411yescharacteristic
703C2×C8×C67C2411yescharacteristic
704C2×C8×C67C2411yescharacteristic
705C4⋊C4×C67—21no—
706C4⋊C4×C67—21no—
707C4⋊C4×C67—21no—
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×C67—21no—
723C22⋊C4×C67C2×D411yescharacteristic
724C22⋊C4×C67C2×D411yescharacteristic
725C42×C67—21no—
726C42×C67C2411yescharacteristic
727C23×C67—21no—
728C23×C67—21no—
729C23×C67—21no—
730C23×C67—42no—
731C23×C67—42no—
732C23×C67—81no—
733C23×C67C22×D411yescharacteristic
734C23×C67C22×D411yescharacteristic
735C22×D67—22no—
736C22×D67—22no—
737C22×D67—21no—
738C22×D67—22no—
739C22×D67—24no—
740C22×D67—22no—
741C22×D67—22no—
742C22×D67—21no—
743C22×D67—21no—
744C22×D67—42no—
745C22×D67—42no—
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—42no—
756C22×D67—42no—
757C22×D67—42no—
758C22×D67—81no—
759C22×D67—81no—
760C22×D67—816no—
761C22×D67—81no—
762C22×D67#13514yes—
763C22×D67C22×D411yescharacteristic
764C22×D67C22×D411yescharacteristic
765C22×D67C22×D411yescharacteristic
766Q8×C67—21no—
767Q8×C67—21no—
768D4×C67—22no—
769D4×C67—21no—
770D4×C67—21no—
771D4×C67—21no—
772D4×C67—21no—
773D4×C67—21no—
774D4×C67—42no—
775D4×C67—42no—
776D4×C67—42no—
777D4×C67—81no—
778D4×C67—81no—
779D4×C67C2×#4112yes—
780C2×C4×C67—21no—
781C2×C4×C67—21no—
782C2×C4×C67—21no—
783C2×C4×C67—21no—
784C2×C4×C67—21no—
785C2×C4×C67—21no—
786C2×C4×C67—21no—
787C2×C4×C67—21no—
788C2×C4×C67—21no—
789C2×C4×C67—42no—
790C2×C4×C67—81no—
791C2×C4×C67—81no—
792C2×C4×C67—81no—
793C2×C4×C67C22×D411yescharacteristic
794C2×C4×C67C22×D411yescharacteristic
795C2×C4×C67C22×D411yescharacteristic
796C2×C4×C67C22×D411yescharacteristic
797C2×C4×C67C2511yescharacteristic
798C22⋊D67—22no—
799C22⋊D67—22no—
800C22⋊D67—24no—
801C22⋊D67—42no—
802C22⋊D67—42no—
803C22⋊D67—42no—
804C22⋊D67—42no—
805C22⋊D67—42no—
806C22⋊D67—42no—
807C22⋊D67—42no—
808C22⋊D67—42no—
809C22⋊D67—81no—
810C22⋊D67—81no—
811C22⋊D67—81no—
812C22⋊D67—81no—
813C2×Dic67—22no—
814C2×Dic67—22no—
815C2×Dic67—21no—
816C2×Dic67—21no—
817C2×Dic67—21no—
818C2×Dic67—21no—
819C2×Dic67—21no—
820C2×Dic67—42no—
821C2×Dic67—81no—
822C2×Dic67—81no—
823C2×Dic67—81no—
824C2×Dic67C22×D411yescharacteristic
825C2×Dic67C22×D411yescharacteristic
826C2×Dic67C22×D411yescharacteristic
827C2×Dic67C22×D411yescharacteristic
828C2×Dic67C22×D411yescharacteristic
829D268—22no—
830D268—21no—
831D268—21no—
832D268—21no—
833D268—21no—
834D268—21no—
835D268—42no—
836D268—42no—
837D268—42no—
838D268—81no—
839D268—81no—
840D268C2×#4112yes—
841C4×D67—22no—
842C4×D67—22no—
843C4×D67—22no—
844C4×D67—22no—
845C4×D67—21no—
846C4×D67—21no—
847C4×D67—21no—
848C4×D67—21no—
849C4×D67—22no—
850C4×D67—22no—
851C4×D67—42no—
852C4×D67—42no—
853C4×D67—42no—
854C4×D67—42no—
855C4×D67—42no—
856C4×D67—42no—
857C4×D67—42no—
858C4×D67—81no—
859C4×D67—81no—
860C4×D67—81no—
861C4×D67—81no—
862C4×D67—81no—
863C4×D67—81no—
864C4×D67C2×#4112yes—
865C4×D67H(5,𝔽2)12yes—
866Dic134—21no—
867Dic134—21no—
868Dic134—42no—
869C8×C67—21no—
870C8×C67—21no—
871C8×C67—21no—
872C8×C67—21no—
873C67⋊C8—21no—
874C67⋊C8—21no—
875C67⋊C8—21no—
876C67⋊C8—21no—
877C22×C67—21no—
878C22×C67—21no—
879C22×C67—21no—
880C22×C67—22no—
881C22×C67—21no—
882C22×C67—21no—
883C22×C67—41no—
884C22×C67—41no—
885C22×C67—41no—
886C22×C67—41no—
887C22×C67—41no—
888C22×C67—41no—
889C22×C67—41no—
890C22×C67—41no—
891C22×C67—84no—
892C22×C67C2×#13512yes—
893C22×C67C23×D411yescharacteristic
894C2×D67—21no—
895C2×D67—21no—
896C2×D67—28no—
897C2×D67—21no—
898C2×D67—22no—
899C2×D67—21no—
900C2×D67—21no—
901C2×D67—41no—
902C2×D67—41no—
903C2×D67—44no—
904C2×D67—48no—
905C2×D67—41no—
906C2×D67—41no—
907C2×D67—41no—
908C2×D67—41no—
909C2×D67—41no—
910C2×D67—41no—
911C2×D67—84no—
912C2×D67—84no—
913C2×D67—84no—
914C2×D67—84no—
915C2×D67—84no—
916C2×D67#54612yes—
917C2×D67C2×#13512yes—
918C2×D67C2×#13512yes—
919C2×D67#57612yes—
920C4×C67—21no—
921C4×C67—21no—
922C4×C67—21no—
923C4×C67—21no—
924C4×C67—41no—
925C4×C67—41no—
926C4×C67—41no—
927C4×C67—41no—
928C4×C67—41no—
929C4×C67C22×#4111yescharacteristic
930C4×C67C2×H(5,𝔽2)11yescharacteristic
931Dic67—21no—
932Dic67—21no—
933Dic67—21no—
934Dic67—21no—
935Dic67—41no—
936Dic67—41no—
937Dic67—41no—
938Dic67—41no—
939Dic67—41no—
940Dic67#54612yes—
941C2×#3297—671nomaximal, Sylow
942C2×C67—22no—
943C2×C67—42no—
944C2×C67—41no—
945C2×C67—81no—
946C2×C67—81no—
947C2×C67C2×#54611yescharacteristic
948C2×C67C22×#13511yescharacteristic
949C2×C67C2×#57611yescharacteristic
950D67—22no—
951D67—41no—
952D67—42no—
953D67—81no—
954D67—81no—
955D67#329714yesdirect product factor
956C2×#553—671no—
957C2×#546—671no—
958#3297—671no—
959#3297—671no—
960#3297—671no—
961#3297—671no—
962#3297—671no—
963#3297—671no—
964#3297—671no—
965#3297—671no—
966#3297—671no—
967#3297—671no—
968#3297—671no—
969#3297—671no—
970#3297—671no—
971#3297—671no—
972#3297—671no—
973#3297D6711yescharacteristic, direct product factor
974C2×#488—671no—
975C2×#484—671no—
976C2×#482—671no—
977C2×#478—671no—
978C2×#466—671no—
979C2×#465—671no—
980C2×#463—671no—
981C2×#449—671no—
982C2×#447—671no—
983C2×C4×D8—671no—
984C2×C8×D4—671no—
985C2×#416—671no—
986C22×#102—671no—
987C67C2×#329711yescharacteristic, complemented, Sylow
988C22×#41—671no—
989C23×D4—671no—
990C22×SD16—671no—
991C22×D8—671no—
992C22×D8—671no—
993C23×C8—671no—
994C23×C8—671no—
995#553—671no—
996#553—671no—
997#553—671no—
998#553—671no—
999#553—671no—
1000#553—671no—
1001#553—671no—
1002#553—1341no—
1003#553—1341no—
1004#553—1341no—
1005#553—1341no—
1006#553C2×D6711yescharacteristic, complemented
1007#546—671no—
1008#546—671no—
1009#546—671no—
1010#546—671no—
1011#546—671no—
1012#546—671no—
1013#546—671no—
1014#546—1341no—
1015#546—1341no—
1016#546—1341no—
1017#546—1341no—
1018#546C2×D6711yescharacteristic, complemented
1019C2×#126—1341no—
1020C2×#125—671no—
1021C2×#124—671no—
1022C2×#123—1341no—
1023C2×#123—1341no—
1024C2×C22⋊Q8—671no—
1025C2×#121—671no—
1026C2×#121—671no—
1027C2×#121—671no—
1028C2×#121—1341no—
1029C2×#121—1341no—
1030C2×#120—1341no—
1031C2×C4×D4—671no—
1032C2×C4×D4—671no—
1033C2×C4×D4—671no—
1034C2×C4×D4—1341no—
1035C2×#117—671no—
1036C22×C4⋊C4—671no—
1037C22×C22⋊C4—1341no—
1038#488—671no—
1039#488—671no—
1040#488—671no—
1041#488—671no—
1042#488—671no—
1043#488—671no—
1044#488—671no—
1045#488C2×D6711yescharacteristic, complemented
1046#484—671no—
1047#484—671no—
1048#484—671no—
1049#484—671no—
1050#484—671no—
1051#484—671no—
1052#484—671no—
1053#484C2×D6711yescharacteristic, complemented
1054#482—671no—
1055#482—671no—
1056#482—671no—
1057#482—671no—
1058#482—671no—
1059#482—671no—
1060#482—671no—
1061#482C2×D6711yescharacteristic, complemented
1062#478—671no—
1063#478—671no—
1064#478—671no—
1065#478—671no—
1066#478—671no—
1067#478—671no—
1068#478—671no—
1069#478C2×D6711yescharacteristic, complemented
1070#466—671no—
1071#466—671no—
1072#466—671no—
1073#466—671no—
1074#466—671no—
1075#466—671no—
1076#466—671no—
1077#466C2×D6711yescharacteristic, complemented
1078#465—671no—
1079#465—671no—
1080#465—671no—
1081#465—671no—
1082#465—671no—
1083#465—671no—
1084#465—671no—
1085#465C2×D6711yescharacteristic, complemented
1086#463—671no—
1087#463—671no—
1088#463—671no—
1089#463—671no—
1090#463—671no—
1091#463—671no—
1092#463—671no—
1093#463C2×D6711yescharacteristic, complemented
1094#449—671no—
1095#449—671no—
1096#449—671no—
1097#449—671no—
1098#449—671no—
1099#449—671no—
1100#449—671no—
1101#449C2×D6711yescharacteristic, complemented
1102#447—671no—
1103#447—671no—
1104#447—671no—
1105#447—671no—
1106#447—671no—
1107#447—671no—
1108#447—671no—
1109#447C2×D6711yescharacteristic, complemented
1110C4×D8—671no—
1111C4×D8—671no—
1112C4×D8—671no—
1113C4×D8—671no—
1114C4×D8—671no—
1115C4×D8—671no—
1116C4×D8—671no—
1117C4×D8C2×D6711yescharacteristic, complemented
1118C8×D4—671no—
1119C8×D4—671no—
1120C8×D4—671no—
1121C8×D4—671no—
1122C8×D4—671no—
1123C8×D4—671no—
1124C8×D4—671no—
1125C8×D4C2×D6711yescharacteristic, complemented
1126C2×#107—671no—
1127C2×#107—671no—
1128C2×#106—671no—
1129C2×C4⋊C8—671no—
1130#416—671no—
1131#416—671no—
1132#416—671no—
1133#416—671no—
1134#416—671no—
1135#416—671no—
1136#416—671no—
1137#416C2×D6711yescharacteristic, complemented
1138C2×#103—671no—
1139C2×#103—671no—
1140C2×#103—671no—
1141C2×#102—671no—
1142C2×#102—671no—
1143C2×#102—671no—
1144C2×#102—671no—
1145C2×#102—671no—
1146C2×#102—671no—
1147C2×#102—671no—
1148C2×#102—671no—
1149C2×#102—671no—
1150C2×#102—671no—
1151C2×#102—671no—
1152C2×#102—671no—
1153C2×#102—671no—
1154C2×#102—671no—
1155C2×#102C2×D6711yescharacteristic, complemented
1156C2×C22⋊C8—671no—
1157C2×C22⋊C8—671no—
1158C2×C4×C8—671no—
1159C25—1341no—
1160C2×#41—2682no—
1161C2×#41—671no—
1162C2×#41—671no—
1163C2×#41—671no—
1164C2×#41—1341no—
1165C2×#41—1344no—
1166C2×#41—1341no—
1167C2×#41C22×D6711yescharacteristic
1168C22×Q8—671no—
1169C22×D4—2682no—
1170C22×D4—671no—
1171C22×D4—671no—
1172C22×D4—671no—
1173C22×D4—671no—
1174C22×D4—671no—
1175C22×D4—671no—
1176C22×D4—671no—
1177C22×D4—1341no—
1178C22×D4—1341no—
1179C22×D4—1341no—
1180C22×D4—1341no—
1181C22×D4—1341no—
1182C22×D4—1344no—
1183C22×D4—1341no—
1184C22×D4—1341no—
1185C22×D4C22×D6711yescharacteristic
1186C23×C4—671no—
1187C23×C4—671no—
1188C23×C4—1341no—
1189C23×C4—1341no—
1190C23×C4—1341no—
1191C23×C4—1341no—
1192C2×SD16—2682no—
1193C2×SD16—671no—
1194C2×SD16—671no—
1195C2×SD16—671no—
1196C2×SD16C22×D6711yescharacteristic, complemented
1197C2×D8—2682no—
1198C2×D8—671no—
1199C2×D8—671no—
1200C2×D8—671no—
1201C2×D8—671no—
1202C2×D8—671no—
1203C2×D8—671no—
1204C2×D8—1344no—
1205C2×D8C22×D6711yescharacteristic
1206C2×D8C22×D6711yescharacteristic
1207C22×C8—2682no—
1208C22×C8—2682no—
1209C22×C8—671no—
1210C22×C8—671no—
1211C22×C8—671no—
1212C22×C8—671no—
1213C22×C8—671no—
1214C22×C8—671no—
1215C22×C8—671no—
1216C22×C8—671no—
1217C22×C8—671no—
1218C22×C8—671no—
1219C22×C8C22×D6711yescharacteristic
1220C22×C8C22×D6711yescharacteristic, complemented
1221#126—21no—
1222#126—1341no—
1223#126—1341no—
1224#126—1341no—
1225#126—1341no—
1226#126—1341no—
1227#126—1341no—
1228#126—1341no—
1229#125—671no—
1230#125—671no—
1231#125—671no—
1232#125—1341no—
1233#125—1341no—
1234#125C22×D6711yescharacteristic, complemented
1235#124—671no—
1236#124—671no—
1237#124—671no—
1238#124—1341no—
1239#124—1341no—
1240#124C22×D6711yescharacteristic
1241#123—21no—
1242#123—21no—
1243#123—1341no—
1244#123—1341no—
1245#123—1341no—
1246#123—1341no—
1247#123—1341no—
1248#123—1341no—
1249#123—1341no—
1250#123—1341no—
1251#123—1341no—
1252#123—1341no—
1253#123—1341no—
1254#123—1341no—
1255#123—1341no—
1256#123—1341no—
1257C22⋊Q8—671no—
1258C22⋊Q8—671no—
1259C22⋊Q8—671no—
1260C22⋊Q8—1341no—
1261C22⋊Q8—1341no—
1262C22⋊Q8C22×D6711yescharacteristic
1263#121—21no—
1264#121—21no—
1265#121—671no—
1266#121—671no—
1267#121—671no—
1268#121—671no—
1269#121—671no—
1270#121—671no—
1271#121—671no—
1272#121—671no—
1273#121—671no—
1274#121—1341no—
1275#121—1341no—
1276#121—1341no—
1277#121—1341no—
1278#121—1341no—
1279#121—1341no—
1280#121—1341no—
1281#121—1341no—
1282#121—1341no—
1283#121—1341no—
1284#121—1341no—
1285#121—1341no—
1286#121—1341no—
1287#121—1341no—
1288#121—1341no—
1289#121—1341no—
1290#121—1341no—
1291#121—1341no—
1292#121—1341no—
1293#121—1341no—
1294#121C22×D6711yescharacteristic
1295#121C22×D6711yescharacteristic
1296#121C22×D6711yescharacteristic, complemented
1297#120—21no—
1298#120—1341no—
1299#120—1341no—
1300#120—1341no—
1301#120—1341no—
1302#120—1341no—
1303#120—1341no—
1304#120—1341no—
1305C4×D4—21no—
1306C4×D4—671no—
1307C4×D4—671no—
1308C4×D4—671no—
1309C4×D4—671no—
1310C4×D4—671no—
1311C4×D4—671no—
1312C4×D4—671no—
1313C4×D4—671no—
1314C4×D4—671no—
1315C4×D4—671no—
1316C4×D4—671no—
1317C4×D4—671no—
1318C4×D4—671no—
1319C4×D4—1341no—
1320C4×D4—1341no—
1321C4×D4—1341no—
1322C4×D4—1341no—
1323C4×D4—1341no—
1324C4×D4—1341no—
1325C4×D4—1341no—
1326C4×D4—1341no—
1327C4×D4—1341no—
1328C4×D4—1341no—
1329C4×D4—1341no—
1330C4×D4C22×D6711yescharacteristic
1331C4×D4C22×D6711yescharacteristic
1332C4×D4C22×D6711yescharacteristic, complemented
1333#117—671no—
1334#117—671no—
1335#117—671no—
1336#117—1341no—
1337#117—1341no—
1338#117C22×D6711yescharacteristic, complemented
1339C2×C4⋊C4—671no—
1340C2×C4⋊C4—671no—
1341C2×C4⋊C4—671no—
1342C2×C4⋊C4—671no—
1343C2×C4⋊C4—671no—
1344C2×C4⋊C4—671no—
1345C2×C4⋊C4—671no—
1346C2×C4⋊C4—671no—
1347C2×C4⋊C4—1341no—
1348C2×C4⋊C4—1341no—
1349C2×C4⋊C4—1341no—
1350C2×C4⋊C4—1341no—
1351C2×C4⋊C4—1341no—
1352C2×C4⋊C4—1341no—
1353C2×C4⋊C4C22×D6711yescharacteristic
1354C2×C22⋊C4—21no—
1355C2×C22⋊C4—671no—
1356C2×C22⋊C4—671no—
1357C2×C22⋊C4—1341no—
1358C2×C22⋊C4—1341no—
1359C2×C22⋊C4—1341no—
1360C2×C22⋊C4—1341no—
1361C2×C22⋊C4—1341no—
1362C2×C22⋊C4—1341no—
1363C2×C22⋊C4—1341no—
1364C2×C22⋊C4—1341no—
1365C2×C22⋊C4—1341no—
1366C2×C22⋊C4—1341no—
1367C2×C22⋊C4—1341no—
1368C2×C22⋊C4—1341no—
1369C2×C22⋊C4—1341no—
1370C2×C22⋊C4—1341no—
1371C2×C22⋊C4—1341no—
1372C2×C22⋊C4—1341no—
1373C2×C42—671no—
1374C2×C42—1341no—
1375#107—671no—
1376#107—671no—
1377#107—671no—
1378#107—671no—
1379#107—671no—
1380#107—671no—
1381#107C22×D6711yescharacteristic, complemented
1382#107C22×D6711yescharacteristic, complemented
1383#106—671no—
1384#106—671no—
1385#106—671no—
1386#106C22×D6711yescharacteristic, complemented
1387C4⋊C8—671no—
1388C4⋊C8—671no—
1389C4⋊C8—671no—
1390C4⋊C8C22×D6711yescharacteristic, complemented
1391#103—671no—
1392#103—671no—
1393#103—671no—
1394#103—671no—
1395#103—671no—
1396#103—671no—
1397#103—671no—
1398#103—671no—
1399#103—671no—
1400#103C22×D6711yescharacteristic, complemented
1401#103C22×D6711yescharacteristic, complemented
1402#103C22×D6711yescharacteristic, complemented
1403#102—671no—
1404#102—671no—
1405#102—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#102C22×D6711yescharacteristic
1425#102C22×D6711yescharacteristic
1426#102C22×D6711yescharacteristic
1427#102C22×D6711yescharacteristic
1428#102C22×D6711yescharacteristic
1429#102C22×D6711yescharacteristic
1430#102C22×D6711yescharacteristic, complemented
1431C22⋊C8—671no—
1432C22⋊C8—671no—
1433C22⋊C8—671no—
1434C22⋊C8—671no—
1435C22⋊C8—671no—
1436C22⋊C8—671no—
1437C22⋊C8C22×D6711yescharacteristic
1438C22⋊C8C22×D6711yescharacteristic, complemented
1439C4×C8—671no—
1440C4×C8—671no—
1441C4×C8—671no—
1442C4×C8C22×D6711yescharacteristic, complemented
1443C24—21no—
1444C24—2684no—
1445C24—2684no—
1446C24—5362no—
1447C24—671no—
1448C24—671no—
1449C24—1341no—
1450C24—1341no—
1451C24—1341no—
1452C24—1341no—
1453C24—1341no—
1454C24—1341no—
1455#41—22no—
1456#41—41no—
1457#41—2681no—
1458#41—2684no—
1459#41—2681no—
1460#41—2684no—
1461#41—2681no—
1462#41—1342no—
1463#41—1342no—
1464#41—1342no—
1465C2×Q8—671no—
1466C2×Q8—1341no—
1467C2×Q8—1342no—
1468C2×Q8—1342no—
1469C2×Q8C23×D6711yescharacteristic
1470C2×D4—22no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—41no—
1477C2×D4—2681no—
1478C2×D4—2684no—
1479C2×D4—2684no—
1480C2×D4—2681no—
1481C2×D4—2681no—
1482C2×D4—2684no—
1483C2×D4—2684no—
1484C2×D4—2684no—
1485C2×D4—5362no—
1486C2×D4—5362no—
1487C2×D4—674no—
1488C2×D4—671no—
1489C2×D4—671no—
1490C2×D4—671no—
1491C2×D4—671no—
1492C2×D4—671no—
1493C2×D4—671no—
1494C2×D4—1341no—
1495C2×D4—1341no—
1496C2×D4—1342no—
1497C2×D4—1341no—
1498C2×D4—1341no—
1499C2×D4—1342no—
1500C2×D4—1342no—
1501C2×D4—1342no—
1502C2×D4—1342no—
1503C2×D4—1342no—
1504C2×D4—1341no—
1505C2×D4—1341no—
1506C2×D4—1341no—
1507C2×D4—1341no—
1508C2×D4—1341no—
1509C2×D4—1342no—
1510C2×D4—1344no—
1511C2×D4—1341no—
1512C2×D4—1341no—
1513C2×D4—1341no—
1514C2×D4—1341no—
1515C2×D4—1342no—
1516C2×D4—1341no—
1517C2×D4—1341no—
1518C2×D4—1341no—
1519C2×D4—1341no—
1520C2×D4—1341no—
1521C2×D4D4×D6711yescharacteristic
1522C2×D4C23×D6711yescharacteristic
1523C2×D4C23×D6711yescharacteristic
1524C2×D4C23×D6711yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—2684no—
1530C22×C4—5362no—
1531C22×C4—5362no—
1532C22×C4—5362no—
1533C22×C4—671no—
1534C22×C4—671no—
1535C22×C4—671no—
1536C22×C4—671no—
1537C22×C4—671no—
1538C22×C4—671no—
1539C22×C4—671no—
1540C22×C4—671no—
1541C22×C4—671no—
1542C22×C4—671no—
1543C22×C4—671no—
1544C22×C4—1341no—
1545C22×C4—1341no—
1546C22×C4—1341no—
1547C22×C4—1341no—
1548C22×C4—1341no—
1549C22×C4—1341no—
1550C22×C4—1341no—
1551C22×C4—1341no—
1552C22×C4—1341no—
1553C22×C4—1341no—
1554C22×C4—1342no—
1555C22×C4—1342no—
1556C22×C4—1342no—
1557C22×C4—1342no—
1558C22×C4—1341no—
1559C22×C4—1341no—
1560C22×C4—1341no—
1561C22×C4—1341no—
1562C22×C4—1341no—
1563C22×C4—1341no—
1564C22×C4—1341no—
1565C22×C4C23×D6711yescharacteristic
1566C22×C4C23×D6711yescharacteristic
1567SD16—41no—
1568SD16—2681no—
1569SD16—2681no—
1570SD16—2681no—
1571D8—22no—
1572D8—41no—
1573D8—2681no—
1574D8—2681no—
1575D8—2681no—
1576D8—1342no—
1577D8—1342no—
1578D8—1342no—
1579C2×C8—41no—
1580C2×C8—41no—
1581C2×C8—2681no—
1582C2×C8—2681no—
1583C2×C8—2681no—
1584C2×C8—2681no—
1585C2×C8—2681no—
1586C2×C8—2681no—
1587C2×C8—671no—
1588C2×C8—671no—
1589C2×C8—671no—
1590C2×C8—671no—
1591C2×C8—1342no—
1592C2×C8—1342no—
1593C2×C8—1342no—
1594C2×C8—1342no—
1595C2×C8C23×D6711yescharacteristic
1596C2×C8C23×D6711yescharacteristic
1597C2×C8C23×D6711yescharacteristic
1598C2×C8C23×D6711yescharacteristic
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—671no—
1604C4⋊C4—671no—
1605C4⋊C4—671no—
1606C4⋊C4—671no—
1607C4⋊C4—671no—
1608C4⋊C4—671no—
1609C4⋊C4—671no—
1610C4⋊C4—1341no—
1611C4⋊C4—1341no—
1612C4⋊C4—1341no—
1613C4⋊C4—1341no—
1614C4⋊C4—1341no—
1615C4⋊C4—1341no—
1616C4⋊C4—1341no—
1617C4⋊C4—1341no—
1618C4⋊C4—1341no—
1619C4⋊C4—1341no—
1620C4⋊C4—1341no—
1621C4⋊C4—1341no—
1622C4⋊C4—1341no—
1623C4⋊C4—1341no—
1624C4⋊C4—1341no—
1625C4⋊C4—1341no—
1626C4⋊C4D4×D6711yescharacteristic
1627C4⋊C4C23×D6711yescharacteristic
1628C4⋊C4C23×D6711yescharacteristic
1629C4⋊C4C23×D6711yescharacteristic
1630C4⋊C4C23×D6711yescharacteristic
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—671no—
1641C22⋊C4—671no—
1642C22⋊C4—671no—
1643C22⋊C4—671no—
1644C22⋊C4—671no—
1645C22⋊C4—671no—
1646C22⋊C4—1341no—
1647C22⋊C4—1341no—
1648C22⋊C4—1341no—
1649C22⋊C4—1341no—
1650C22⋊C4—1341no—
1651C22⋊C4—1341no—
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⋊C4D4×D6711yescharacteristic
1674C22⋊C4D4×D6711yescharacteristic
1675C42—21no—
1676C42—671no—
1677C42—671no—
1678C42—671no—
1679C42—1341no—
1680C42—1341no—
1681C42—1341no—
1682C42C23×D6711yescharacteristic
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—42no—
1687C23—42no—
1688C23—81no—
1689C23—2682no—
1690C23—2682no—
1691C23—2682no—
1692C23—2682no—
1693C23—2682no—
1694C23—2682no—
1695C23—2682no—
1696C23—2682no—
1697C23—2682no—
1698C23—2682no—
1699C23—2682no—
1700C23—2682no—
1701C23—2682no—
1702C23—2682no—
1703C23—5361no—
1704C23—5361no—
1705C23—5361no—
1706C23—53616no—
1707C23—671no—
1708C23—674no—
1709C23—671no—
1710C23—671no—
1711C23—1344no—
1712C23—1342no—
1713C23—1342no—
1714C23—1342no—
1715C23—1342no—
1716C23—1342no—
1717C23—1341no—
1718C23—1341no—
1719C23—1341no—
1720C23C2×D4×D6711yescharacteristic
1721C23C2×D4×D6711yescharacteristic
1722Q8—21no—
1723Q8—21no—
1724Q8—2682no—
1725Q8—1341no—
1726Q8—1341no—
1727D4—22no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—42no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—2682no—
1739D4—2682no—
1740D4—2682no—
1741D4—2682no—
1742D4—2682no—
1743D4—2682no—
1744D4—2682no—
1745D4—2682no—
1746D4—2682no—
1747D4—2682no—
1748D4—2682no—
1749D4—5361no—
1750D4—5361no—
1751D4—5361no—
1752D4—5361no—
1753D4—5361no—
1754D4—5361no—
1755D4—672no—
1756D4—1342no—
1757D4—1344no—
1758D4—1342no—
1759D4—1342no—
1760D4—1341no—
1761D4—1341no—
1762D4—1341no—
1763D4—1341no—
1764D4—1341no—
1765D4#41×D6712yes—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—42no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—2682no—
1780C2×C4—2682no—
1781C2×C4—2682no—
1782C2×C4—2682no—
1783C2×C4—2682no—
1784C2×C4—2682no—
1785C2×C4—2682no—
1786C2×C4—2682no—
1787C2×C4—5361no—
1788C2×C4—5361no—
1789C2×C4—5361no—
1790C2×C4—5361no—
1791C2×C4—5361no—
1792C2×C4—5361no—
1793C2×C4—5361no—
1794C2×C4—5361no—
1795C2×C4—5361no—
1796C2×C4—671no—
1797C2×C4—672no—
1798C2×C4—672no—
1799C2×C4—671no—
1800C2×C4—671no—
1801C2×C4—671no—
1802C2×C4—671no—
1803C2×C4—1342no—
1804C2×C4—1342no—
1805C2×C4—1342no—
1806C2×C4—1342no—
1807C2×C4—1342no—
1808C2×C4—1342no—
1809C2×C4—1341no—
1810C2×C4—1341no—
1811C2×C4—1341no—
1812C2×C4—1341no—
1813C2×C4—1341no—
1814C2×C4—1342no—
1815C2×C4—1342no—
1816C2×C4—1341no—
1817C2×C4—1341no—
1818C2×C4—1341no—
1819C2×C4—1341no—
1820C2×C4C2×D4×D6711yescharacteristic
1821C2×C4C2×D4×D6711yescharacteristic
1822C2×C4C2×D4×D6711yescharacteristic
1823C2×C4C2×D4×D6711yescharacteristic
1824C2×C4C24×D6711yescharacteristic
1825C8—21no—
1826C8—21no—
1827C8—21no—
1828C8—21no—
1829C8—1341no—
1830C8—1341no—
1831C8—1341no—
1832C8—1341no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—22no—
1837C22—21no—
1838C22—21no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—84no—
1848C22—2688no—
1849C22—2684no—
1850C22—2681no—
1851C22—2681no—
1852C22—2681no—
1853C22—2681no—
1854C22—2681no—
1855C22—2681no—
1856C22—2681no—
1857C22—2681no—
1858C22—5364no—
1859C22—5364no—
1860C22—5364no—
1861C22—5364no—
1862C22—5364no—
1863C22—672no—
1864C22—672no—
1865C22—672no—
1866C22—672no—
1867C22—1348no—
1868C22—1342no—
1869C22—1341no—
1870C22—1341no—
1871C22—1341no—
1872C22—1341no—
1873C22—1341no—
1874C22#135×D6712yes—
1875C22C22×D4×D6711yescharacteristic
1876C4—21no—
1877C4—21no—
1878C4—21no—
1879C4—21no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—2681no—
1886C4—2681no—
1887C4—2681no—
1888C4—2681no—
1889C4—2681no—
1890C4—672no—
1891C4—1341no—
1892C4—1341no—
1893C4—1341no—
1894C4—1341no—
1895C4C2×#41×D6711yescharacteristic
1896C4H(5,𝔽2)×D6711yescharacteristic
1897C2—22no—
1898C2—41no—
1899C2—42no—
1900C2—81no—
1901C2—81no—
1902C2—2682no—
1903C2—2681no—
1904C2—5361no—
1905C2—5361no—
1906C2—674no—
1907C2—1342no—
1908C2#546×D6711yescharacteristic
1909C2C2×#135×D6711yescharacteristic
1910C2#576×D6711yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3297C2
socleC22×C67C23×D4
hypercenter#3297D67
hypocenterC67C2×#3297
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #553×D67C2semidirect
2. #546×D67C2semidirect
3. #22572066C2semidirect
4. #22572065C2semidirect
5. #22572064C2semidirect
6. #22572063C2semidirect
7. #22572062C2semidirect
8. #22572061C2semidirect
9. #22572060C2semidirect
10. #22572059C2semidirect
11. #22572058C2semidirect
12. #22572057C2semidirect
13. #22572056C2semidirect
14. #22572055C2semidirect
15. #22572054C2semidirect
16. #22572053C2semidirect
17. #22572052C2semidirect
18. #488×D67C2semidirect
19. #484×D67C2semidirect
20. #482×D67C2semidirect
21. #478×D67C2semidirect
22. #466×D67C2semidirect
23. #465×D67C2semidirect
24. #463×D67C2semidirect
25. #449×D67C2semidirect
26. #447×D67C2semidirect
27. C4×D8×D67C2semidirect
28. C8×D4×D67C2semidirect
29. #416×D67C2semidirect
30. C2×#102×D67C2semidirect
31. C67×#3297C2semidirect
34. C2×SD16×D67C22semidirect
38. C22×C8×D67C22semidirect
39. #16864099C22semidirect
40. #16864098C22semidirect
42. #16864096C22semidirect
44. #16864094C22semidirect
45. #16864093C22semidirect
46. #16864092C22semidirect
48. #16864090C22semidirect
50. #16864043C22semidirect
51. #16864042C22semidirect
52. #16864041C22semidirect
53. #16864040C22semidirect
54. #16864039C22semidirect
56. #16864037C22semidirect
59. #16864034C22semidirect
62. #125×D67C22semidirect
71. #121×D67C22semidirect
76. C4×D4×D67C22semidirect
77. #117×D67C22semidirect
80. #16863753C22semidirect
81. #16863752C22semidirect
82. #16863752C22semidirect
83. #16863751C22semidirect
84. #16863750C22semidirect
85. #16863749C22semidirect
86. #16863749C22semidirect
87. #16863733C22semidirect
88. #16863733C22semidirect
89. #16863732C22semidirect
90. #16863731C22semidirect
91. #16863730C22semidirect
92. #16863730C22semidirect
93. #16863729C22semidirect
94. #16863723C22semidirect
95. #16863722C22semidirect
96. #16863721C22semidirect
97. #16863720C22semidirect
98. #16863719C22semidirect
99. #16863718C22semidirect
100. #16863717C22semidirect
101. #16863699C22semidirect
102. #16863698C22semidirect
103. #16863697C22semidirect
104. #16863696C22semidirect
105. #16863695C22semidirect
106. #16863694C22semidirect
107. #16863693C22semidirect
108. #16863633C22semidirect
109. #16863632C22semidirect
110. #16863631C22semidirect
111. #16863631C22semidirect
112. #16863630C22semidirect
113. #16863630C22semidirect
114. #16863629C22semidirect
115. #16863628C22semidirect
116. #16863627C22semidirect
117. #16863626C22semidirect
118. #16863625C22semidirect
119. #16863624C22semidirect
120. #16863623C22semidirect
121. #16863622C22semidirect
122. #16863614C22semidirect
123. #16863613C22semidirect
124. #16863612C22semidirect
125. #16863611C22semidirect
126. #16863610C22semidirect
127. #16863609C22semidirect
128. #16863608C22semidirect
129. #16863544C22semidirect
130. #16863543C22semidirect
131. #16863542C22semidirect
132. #16863541C22semidirect
133. #16863540C22semidirect
134. #16863539C22semidirect
135. #16863538C22semidirect
136. #16863532C22semidirect
137. #16863531C22semidirect
138. #16863531C22semidirect
139. #16863530C22semidirect
140. #16863529C22semidirect
141. #16863528C22semidirect
142. #16863528C22semidirect
143. C4×D536C22semidirect
144. D8×Dic67C22semidirect
145. #16863478C22semidirect
146. C4×#11761613C22semidirect
147. C4×#11761613C22semidirect
148. #16863476C22semidirect
149. #16863476C22semidirect
150. C8×D268C22semidirect
151. D4×C67⋊C8C22semidirect
152. #16863461C22semidirect
153. C8×C22⋊D67C22semidirect
154. C8×C22⋊D67C22semidirect
155. (C22⋊D67)⋊C8C22semidirect
156. (C22⋊D67)⋊C8C22semidirect
157. #107×D67C22semidirect
158. #107×D67C22semidirect
159. #106×D67C22semidirect
160. C4⋊C8×D67C22semidirect
161. #16863393C22semidirect
162. #16863392C22semidirect
163. #16863391C22semidirect
164. #16863391C22semidirect
165. #16863390C22semidirect
166. #16863389C22semidirect
167. #16863389C22semidirect
168. #103×D67C22semidirect
169. #103×D67C22semidirect
170. #103×D67C22semidirect
171. C2×#14523965C22semidirect
172. C2×#14523964C22semidirect
173. C2×#14523963C22semidirect
180. #102×D67C22semidirect
181. #102×D67C22semidirect
182. #102×D67C22semidirect
183. #102×D67C22semidirect
184. #102×D67C22semidirect
186. C22⋊C8×D67C22semidirect
187. C4×C8×D67C22semidirect
188. #553×C67C22semidirect
189. #546×C67C22semidirect
190. #488×C67C22semidirect
191. #484×C67C22semidirect
192. #482×C67C22semidirect
193. #478×C67C22semidirect
194. #466×C67C22semidirect
195. #465×C67C22semidirect
196. #463×C67C22semidirect
197. #449×C67C22semidirect
198. #447×C67C22semidirect
199. C4×D8×C67C22semidirect
200. C8×D4×C67C22semidirect
201. #416×C67C22semidirect
202. C2×#102×C67C22semidirect
234. C2×#11761617C23semidirect
235. C2×#11761616C23semidirect
236. C2×#11761615C23semidirect
247. C22×C67⋊C8C23semidirect
256. C2×C8×D67C23semidirect
257. C2×C8×D67C23semidirect
265. #14524035C23semidirect
266. #14524034C23semidirect
267. #14524034C23semidirect
298. #14524018C23semidirect
303. #14524017C23semidirect
322. #14524014C23semidirect
333. C4×D268C23semidirect
337. D4×Dic67C23semidirect
341. #14524005C23semidirect
354. #14524002C23semidirect
355. #14524001C23semidirect
356. #14524001C23semidirect
393. #14523977C23semidirect
394. #14523977C23semidirect
395. #14523976C23semidirect
396. #14523976C23semidirect
397. #14523976C23semidirect
398. #14523976C23semidirect
399. #14523975C23semidirect
400. #14523974C23semidirect
401. #14523974C23semidirect
402. C4⋊(C67⋊C8)C23semidirect
403. Dic67⋊C8C23semidirect
404. Dic67⋊C8C23semidirect
405. #14523968C23semidirect
406. #14523968C23semidirect
407. #14523968C23semidirect
408. #14523967C23semidirect
409. #14523967C23semidirect
410. #14523967C23semidirect
411. #14523966C23semidirect
412. #14523966C23semidirect
413. #14523966C23semidirect
420. #14523965C23semidirect
427. #14523964C23semidirect
434. #14523963C23semidirect
436. C22⋊(C67⋊C8)C23semidirect
439. (C2×D67)⋊C8C23semidirect
440. (C2×D67)⋊C8C23semidirect
441. C4×C67⋊C8C23semidirect
442. C8×Dic67C23semidirect
443. C8×Dic67C23semidirect
446. C2×SD16×C67C23semidirect
450. C22×C8×C67C23semidirect
452. #125×C67C23semidirect
461. #121×C67C23semidirect
466. C4×D4×C67C23semidirect
467. #117×C67C23semidirect
470. #107×C67C23semidirect
471. #107×C67C23semidirect
472. #106×C67C23semidirect
473. C4⋊C8×C67C23semidirect
474. #103×C67C23semidirect
475. #103×C67C23semidirect
476. #103×C67C23semidirect
483. #102×C67C23semidirect
485. C22⋊C8×C67C23semidirect
486. C4×C8×C67C23semidirect
955. D67#3297direct (N × H)
973. #3297D67direct (N × H)
987. C67C2×#3297semidirect
1006. #553C2×D67semidirect
1018. #546C2×D67semidirect
1045. #488C2×D67semidirect
1053. #484C2×D67semidirect
1061. #482C2×D67semidirect
1069. #478C2×D67semidirect
1077. #466C2×D67semidirect
1085. #465C2×D67semidirect
1093. #463C2×D67semidirect
1101. #449C2×D67semidirect
1109. #447C2×D67semidirect
1117. C4×D8C2×D67semidirect
1125. C8×D4C2×D67semidirect
1137. #416C2×D67semidirect
1155. C2×#102C2×D67semidirect
1196. C2×SD16C22×D67semidirect
1220. C22×C8C22×D67semidirect
1234. #125C22×D67semidirect
1296. #121C22×D67semidirect
1332. C4×D4C22×D67semidirect
1338. #117C22×D67semidirect
1381. #107C22×D67semidirect
1382. #107C22×D67semidirect
1386. #106C22×D67semidirect
1390. C4⋊C8C22×D67semidirect
1400. #103C22×D67semidirect
1401. #103C22×D67semidirect
1402. #103C22×D67semidirect
1430. #102C22×D67semidirect
1438. C22⋊C8C22×D67semidirect
1442. C4×C8C22×D67semidirect

Maximal subgroups

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

subgroupindex
#553×D672
#546×D672
#225720662
#225720652
#225720642
#225720632
#225720622
#225720612
#225720602
#225720592
#225720582
#225720572
#225720562
#225720552
#225720542
#225720532
#225720522
#488×D672
#484×D672
#482×D672
#478×D672
#466×D672
#465×D672
#463×D672
#449×D672
#447×D672
C4×D8×D672
C8×D4×D672
#416×D672
C2×#102×D672
C67×#32972
C2×#329767