Finite Group Databasebeta

← #31742441

Subgroups — #31742441

Order 17152.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1900 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22573881C211yesmaximal, characteristic, complemented
2#22572508C211yesmaximal, characteristic, complemented
3#22572497C211yesmaximal, characteristic, complemented
4#22572471C211yesmaximal, characteristic, complemented
5#22572404C211yesmaximal, characteristic, complemented
6#22572374C211yesmaximal, characteristic, complemented
7#22572359C211yesmaximal, characteristic, complemented
8#22572299C211yesmaximal, characteristic, complemented
9#22572194C211yesmaximal, characteristic, complemented
10#22571875C211yesmaximal, characteristic, complemented
11#22571836C211yesmaximal, characteristic, complemented
12#22571816C211yesmaximal, characteristic, complemented
13#22571805C211yesmaximal, characteristic, complemented
14#22571750C211yesmaximal, characteristic, complemented
15#22571730C211yesmaximal, characteristic, complemented
16#22571715C211yesmaximal, characteristic, complemented
17#22571700C211yesmaximal, characteristic, complemented
18#22571312C211yesmaximal, characteristic, complemented
19#22571264C211yesmaximal, characteristic, complemented
20#22571106C211yesmaximal, characteristic, complemented
21#22571061C211yesmaximal, characteristic, complemented
22#22571035C211yesmaximal, characteristic, complemented
23#22571015C211yesmaximal, characteristic, complemented
24#22570465C211yesmaximal, characteristic, complemented
25#22570402C211yesmaximal, characteristic, complemented
26#22569521C211yesmaximal, characteristic, complemented
27#22569493C211yesmaximal, characteristic, complemented
28#22569459C211yesmaximal, characteristic, complemented
29#22569449C211yesmaximal, characteristic, complemented
30#22569271C211yesmaximal, characteristic, complemented
31C67×#3542C211yesmaximal, characteristic, complemented
32C2×#14524090C2211yescharacteristic, complemented
33C22×#11761628C2211yescharacteristic, complemented
34C2×#14524073C2211yescharacteristic, complemented
35C2×#14524073C2211yescharacteristic, complemented
36C2×#14524069C2211yescharacteristic
37C2×#14524069C2211yescharacteristic
38C2×#14524069C2211yescharacteristic, complemented
39C2×#14524068C2211yescharacteristic, complemented
40C2×#14524063C2211yescharacteristic, complemented
41C22×#11761616C2211yescharacteristic, complemented
42D4×Dic134C2211yescharacteristic, complemented
43D4×Dic134C2211yescharacteristic, complemented
44#16864055C2211yescharacteristic
45#16864055C2211yescharacteristic, complemented
46#16864051C2211yescharacteristic
47#16864051C2211yescharacteristic, complemented
48#16864044—21no—
49#16864044—21no—
50#16864042C2211yescharacteristic, complemented
51#16864042C2211yescharacteristic, complemented
52#16864033—21no—
53#16864033—21no—
54#16863975—21no—
55#16863974C2211yescharacteristic, complemented
56#16863972C2211yescharacteristic, complemented
57#16863969—21no—
58#16863906—21no—
59C2×#14524022C2211yescharacteristic, complemented
60C22⋊Q8×D67—21no—
61#16863876C2211yescharacteristic, complemented
62#16863791C2211yescharacteristic, complemented
63#16863783C2211yescharacteristic, complemented
64#16863778C2211yescharacteristic, complemented
65#16863768C2211yescharacteristic, complemented
66#16863766C2211yescharacteristic, complemented
67#16863758C2211yescharacteristic, complemented
68#16863753C2211yescharacteristic, complemented
69#16863748C2211yescharacteristic, complemented
70#16863737C2211yescharacteristic, complemented
71#16863737C2211yescharacteristic, complemented
72#16863737C2211yescharacteristic, complemented
73#16863731C2211yescharacteristic, complemented
74#16863731C2211yescharacteristic, complemented
75#16863731C2211yescharacteristic, complemented
76#16863729C2211yescharacteristic, complemented
77#16863720C2211yescharacteristic, complemented
78#16863712C2211yescharacteristic, complemented
79#16863709C2211yescharacteristic, complemented
80#16863707C2211yescharacteristic, complemented
81#16863707C2211yescharacteristic, complemented
82#16863700C2211yescharacteristic, complemented
83#16863693C2211yescharacteristic, complemented
84#16863688C2211yescharacteristic, complemented
85#16863673C2211yescharacteristic, complemented
86#16863652C2211yescharacteristic, complemented
87#16863652C2211yescharacteristic, complemented
88#16863647C2211yescharacteristic, complemented
89#16863644C2211yescharacteristic, complemented
90#16863640C2211yescharacteristic
91#16863640C2211yescharacteristic
92#16863640C2211yescharacteristic, complemented
93#16863640C2211yescharacteristic, complemented
94#16863640C2211yescharacteristic, complemented
95#16863640C2211yescharacteristic, complemented
96#16863640C2211yescharacteristic, complemented
97#16863640C2211yescharacteristic, complemented
98#16863635C2211yescharacteristic, complemented
99#16863630C2211yescharacteristic, complemented
100#16863630C2211yescharacteristic, complemented
101#16863623C2211yescharacteristic, complemented
102#16863618C2211yescharacteristic, complemented
103#16863615C2211yescharacteristic, complemented
104#16863611C2211yescharacteristic, complemented
105#16863611C2211yescharacteristic, complemented
106#16863611C2211yescharacteristic, complemented
107#16863608C2211yescharacteristic, complemented
108#16863606C2211yescharacteristic, complemented
109#16863601C2211yescharacteristic, complemented
110#16863601C2211yescharacteristic, complemented
111#16863601C2211yescharacteristic, complemented
112#16863593C2211yescharacteristic, complemented
113#16863588C2211yescharacteristic, complemented
114#16863558C2211yescharacteristic, complemented
115#16863558C2211yescharacteristic, complemented
116#16863558C2211yescharacteristic, complemented
117#16863556C2211yescharacteristic, complemented
118#16863556C2211yescharacteristic, complemented
119#16863556C2211yescharacteristic, complemented
120#16863556C2211yescharacteristic, complemented
121#16863556C2211yescharacteristic, complemented
122#16863551C2211yescharacteristic, complemented
123#16863551C2211yescharacteristic, complemented
124#16863547C2211yescharacteristic, complemented
125#16863547C2211yescharacteristic, complemented
126#16863547C2211yescharacteristic, complemented
127#16863541C2211yescharacteristic, complemented
128#16863539C2211yescharacteristic
129#16863539C2211yescharacteristic
130#16863539C2211yescharacteristic
131#16863539C2211yescharacteristic
132#16863539C2211yescharacteristic, complemented
133#16863539C2211yescharacteristic, complemented
134#16863539C2211yescharacteristic, complemented
135#16863539C2211yescharacteristic, complemented
136#16863539C2211yescharacteristic, complemented
137#16863539C2211yescharacteristic, complemented
138#16863539C2211yescharacteristic, complemented
139#16863534C2211yescharacteristic
140#16863534C2211yescharacteristic, complemented
141#16863534C2211yescharacteristic, complemented
142#16863534C2211yescharacteristic, complemented
143#16863534C2211yescharacteristic, complemented
144#16863534C2211yescharacteristic, complemented
145#16863534C2211yescharacteristic, complemented
146#16863534C2211yescharacteristic, complemented
147#16863530C2211yescharacteristic, complemented
148#16863529C2211yescharacteristic
149#16863529C2211yescharacteristic, complemented
150#16863506C2211yescharacteristic, complemented
151#16863496C2211yescharacteristic, complemented
152#16863496C2211yescharacteristic, complemented
153#16863494C2211yescharacteristic, complemented
154C4×#11761618C2211yescharacteristic, complemented
155C4×#11761616C2211yescharacteristic, complemented
156C4×#11761613C2211yescharacteristic, complemented
157C4×#11761613C2211yescharacteristic, complemented
158#16863474C2211yescharacteristic, complemented
159#16863474C2211yescharacteristic, complemented
160#16863474C2211yescharacteristic, complemented
161#16863474C2211yescharacteristic, complemented
162#16863468C2211yescharacteristic, complemented
163#16863468C2211yescharacteristic, complemented
164#16863468C2211yescharacteristic, complemented
165#16863468C2211yescharacteristic, complemented
166#16863457C2211yescharacteristic, complemented
167#16863457C2211yescharacteristic, complemented
168#16863404C2211yescharacteristic, complemented
169#16863404C2211yescharacteristic, complemented
170#16863400C2211yescharacteristic, complemented
171#16863395C2211yescharacteristic, complemented
172#16863395C2211yescharacteristic, complemented
173#16863395C2211yescharacteristic, complemented
174#16863390C2211yescharacteristic, complemented
175C2×#14523966C2211yescharacteristic, complemented
176#16863363C2211yescharacteristic, complemented
177#16863363C2211yescharacteristic, complemented
178#16863360C2211yescharacteristic, complemented
179#16863360C2211yescharacteristic, complemented
180#562×C67—21no—
181#560×C67—21no—
182#555×C67C2211yescharacteristic
183#553×C67C2211yescharacteristic
184#552×C67C2211yescharacteristic, complemented
185#551×C67—21no—
186#550×C67C2211yescharacteristic
187#547×C67C2211yescharacteristic, complemented
188#546×C67—21no—
189#546×C67C2211yescharacteristic
190#546×C67C2211yescharacteristic, complemented
191D42×C67C2211yescharacteristic, complemented
192#542×C67C2211yescharacteristic, complemented
193#540×C67—21no—
194#540×C67C2211yescharacteristic, complemented
195#538×C67—21no—
196#537×C67C2211yescharacteristic, complemented
197#535×C67—21no—
198#535×C67C2211yescharacteristic, complemented
199#534×C67—21no—
200#525×C67C2211yescharacteristic
201#525×C67C2211yescharacteristic
202C2×#121×C67C2211yescharacteristic
203#14524090—42no—
204#14524090—42no—
205C2×#11761628—21no—
206C2×#11761628—21no—
207C2×#11761628—42no—
208C2×#11761628—42no—
209C2×#11761628C2311yescharacteristic
210C2×#11761628C2311yescharacteristic
211C2×#11761628C2311yescharacteristic
212C2×#11761628C2311yescharacteristic
213C2×#11761628C2311yescharacteristic
214C2×#11761628C2311yescharacteristic
215C2×#11761627—21no—
216C2×#11761627—21no—
217C2×#11761627—21no—
218C22×Dic134C2311yescharacteristic
219C22×Dic134C2311yescharacteristic
220C22×Dic134C2311yescharacteristic
221C22×Dic134C2311yescharacteristic
222C2×Q8×D67—21no—
223C22×D268C2311yescharacteristic
224C22×C22⋊D67—21no—
225C22×C4×D67—21no—
226#14524073—42no—
227#14524073—42no—
228#14524069—42no—
229#14524069—42no—
230#14524069—42no—
231#14524068—42no—
232#14524063—42no—
233C2×#11761618C2311yescharacteristic
234C2×#11761618C2311yescharacteristic
235C2×#11761618C2311yescharacteristic
236C2×#11761618C2311yescharacteristic
237C2×#11761616—42no—
238C2×#11761616C2311yescharacteristic
239C2×#11761616C2311yescharacteristic
240C2×#11761616C2311yescharacteristic
241C2×#11761616C2311yescharacteristic
242C2×#11761616C2311yescharacteristic
243C2×#11761616C2311yescharacteristic
244C2×#11761616C2311yescharacteristic
245C2×#11761616C2311yescharacteristic
246C2×#11761616C2311yescharacteristic
247C2×#11761616C2311yescharacteristic
248C2×#11761616C2311yescharacteristic
249C2×#11761616C2311yescharacteristic
250C2×#11761615C2311yescharacteristic
251C2×#11761615C2311yescharacteristic
252C2×#11761613C2311yescharacteristic
253C2×#11761613C2311yescharacteristic
254C2×#11761613C2311yescharacteristic
255C2×#11761613C2311yescharacteristic
256C2×#11761613C2311yescharacteristic
257C2×#11761613C2311yescharacteristic
258C2×#11761612C2311yescharacteristic
259C2×#11761612C2311yescharacteristic
260C2×#11761612C2311yescharacteristic
261C2×#11761612C2311yescharacteristic
262C2×#11761612C2311yescharacteristic
263C2×#11761612C2311yescharacteristic
264C22×C67⋊C8C2311yescharacteristic
265C22×C67⋊C8C2311yescharacteristic
266#14524043C2311yescharacteristic
267#14524043C2311yescharacteristic
268#14524042—21no—
269#14524042—21no—
270#14524031C2311yescharacteristic
271#14524031C2311yescharacteristic
272#14524029—21no—
273#14524029—21no—
274#14524028—21no—
275#14524028—21no—
276#14524027—21no—
277#14524027—21no—
278#14524025—21no—
279#14524025—21no—
280#14524025—21no—
281#14524025—21no—
282#14524023—21no—
283#14524023—21no—
284#14524022—21no—
285#14524022—21no—
286#14524022C2311yescharacteristic
287#14524022C2311yescharacteristic
288#14524022C2311yescharacteristic
289#14524022C2311yescharacteristic
290#14524022C2311yescharacteristic
291#14524022C2311yescharacteristic
292#14524021—21no—
293#14524021—21no—
294#14524020—21no—
295#14524020—21no—
296#14524020—21no—
297#14524020—21no—
298#14524019—21no—
299#14524017C2311yescharacteristic
300#14524017C2311yescharacteristic
301#14524016—21no—
302#14524016—21no—
303#14524015—21no—
304#14524015—21no—
305#14524015—21no—
306#14524015—21no—
307#14524014—21no—
308#14524014—21no—
309#14524014—21no—
310#14524011—21no—
311#14524011—21no—
312C4×Dic134C2311yescharacteristic
313C4×Dic134C2311yescharacteristic
314C4×D268C2311yescharacteristic
315C4×D268C2311yescharacteristic
316D4×Dic67—21no—
317D4×Dic67—21no—
318(C22⋊D67)⋊C4—21no—
319(C22⋊D67)⋊C4—21no—
320(C22⋊D67)⋊C4—21no—
321(C22⋊D67)⋊C4—21no—
322#14524001—21no—
323C2×C4⋊Dic67C2311yescharacteristic
324C2×Dic67⋊C4—21no—
325C4⋊C4×D67—21no—
326C4⋊C4×D67—21no—
327C4⋊C4×D67—21no—
328C2×C22⋊Dic67—21no—
329C22⋊C4×D67—21no—
330C22⋊C4×D67—21no—
331#14523976C2311yescharacteristic
332#14523976C2311yescharacteristic
333#14523976C2311yescharacteristic
334#14523976C2311yescharacteristic
335#14523976C2311yescharacteristic
336#14523976C2311yescharacteristic
337#14523974C2311yescharacteristic
338#14523974C2311yescharacteristic
339C4⋊(C67⋊C8)C2311yescharacteristic
340C4⋊(C67⋊C8)C2311yescharacteristic
341C4⋊(C67⋊C8)C2311yescharacteristic
342C4⋊(C67⋊C8)C2311yescharacteristic
343#14523967C2311yescharacteristic
344#14523967C2311yescharacteristic
345#14523966C2311yescharacteristic
346#14523966C2311yescharacteristic
347#14523966C2311yescharacteristic
348#14523966C2311yescharacteristic
349#14523966C2311yescharacteristic
350#14523966C2311yescharacteristic
351#14523966C2311yescharacteristic
352#14523966C2311yescharacteristic
353#14523966C2311yescharacteristic
354#14523966C2311yescharacteristic
355#14523966C2311yescharacteristic
356#14523966C2311yescharacteristic
357#14523966C2311yescharacteristic
358#14523966C2311yescharacteristic
359#14523966C2311yescharacteristic
360#14523966C2311yescharacteristic
361#14523964C2311yescharacteristic
362#14523964C2311yescharacteristic
363#14523964C2311yescharacteristic
364#14523964C2311yescharacteristic
365#14523964C2311yescharacteristic
366#14523964C2311yescharacteristic
367#14523963C2311yescharacteristic
368#14523963C2311yescharacteristic
369#14523963C2311yescharacteristic
370#14523963C2311yescharacteristic
371#14523963C2311yescharacteristic
372#14523963C2311yescharacteristic
373#14523963C2311yescharacteristic
374#14523963C2311yescharacteristic
375C22⋊(C67⋊C8)C2311yescharacteristic
376C22⋊(C67⋊C8)C2311yescharacteristic
377C22⋊(C67⋊C8)C2311yescharacteristic
378C22⋊(C67⋊C8)C2311yescharacteristic
379C22⋊(C67⋊C8)C2311yescharacteristic
380C22⋊(C67⋊C8)C2311yescharacteristic
381C22⋊(C67⋊C8)C2311yescharacteristic
382C22⋊(C67⋊C8)C2311yescharacteristic
383C22⋊(C67⋊C8)C2311yescharacteristic
384C22⋊(C67⋊C8)C2311yescharacteristic
385C22⋊(C67⋊C8)C2311yescharacteristic
386C22⋊(C67⋊C8)C2311yescharacteristic
387#14523954C2311yescharacteristic
388#14523954C2311yescharacteristic
389C4×C67⋊C8C2311yescharacteristic
390C4×C67⋊C8C2311yescharacteristic
391C2×#41×C67—21no—
392C2×#41×C67C2311yescharacteristic
393C2×#41×C67C2311yescharacteristic
394C2×#41×C67C2311yescharacteristic
395C22×D4×C67—21no—
396C22×D4×C67—21no—
397C22×D4×C67C2311yescharacteristic
398C22×D4×C67C2311yescharacteristic
399C23×C4×C67C2311yescharacteristic
400C4⋊Q8×C67C2311yescharacteristic
401#127×C67—21no—
402#127×C67—21no—
403#127×C67C2311yescharacteristic
404#126×C67—21no—
405#126×C67—21no—
406#126×C67—21no—
407#125×C67—21no—
408#125×C67C2311yescharacteristic
409#124×C67—21no—
410#124×C67—21no—
411#124×C67—21no—
412#124×C67—21no—
413#124×C67C2311yescharacteristic
414#123×C67—21no—
415#123×C67—21no—
416#123×C67—21no—
417#123×C67—21no—
418#123×C67—21no—
419#123×C67—21no—
420#123×C67—21no—
421#123×C67—21no—
422#123×C67—21no—
423#123×C67—21no—
424#123×C67D411yescharacteristic
425#123×C67D411yescharacteristic
426C22⋊Q8×C67—21no—
427C22⋊Q8×C67—21no—
428C22⋊Q8×C67—21no—
429C22⋊Q8×C67D411yescharacteristic
430C22⋊Q8×C67D411yescharacteristic
431C22⋊Q8×C67C2311yescharacteristic
432C22⋊Q8×C67C2311yescharacteristic
433C22⋊Q8×C67C2311yescharacteristic
434#121×C67—21no—
435#121×C67—21no—
436#121×C67—21no—
437#121×C67—21no—
438#121×C67—21no—
439#121×C67—21no—
440#121×C67—21no—
441#121×C67—21no—
442#121×C67—21no—
443#121×C67—21no—
444#121×C67—21no—
445#121×C67—21no—
446#121×C67—21no—
447#121×C67—21no—
448#121×C67D411yescharacteristic
449#121×C67D411yescharacteristic
450#121×C67C2311yescharacteristic
451#121×C67C2311yescharacteristic
452#121×C67C2311yescharacteristic
453#121×C67C2311yescharacteristic
454#121×C67C2311yescharacteristic
455#121×C67C2311yescharacteristic
456#121×C67C2311yescharacteristic
457#121×C67C2311yescharacteristic
458#121×C67C2311yescharacteristic
459#120×C67—21no—
460#120×C67—21no—
461#120×C67—21no—
462#120×C67—21no—
463#120×C67—21no—
464#120×C67—21no—
465#120×C67—21no—
466#120×C67D411yescharacteristic
467#120×C67D411yescharacteristic
468C4×Q8×C67C2311yescharacteristic
469C4×D4×C67—21no—
470C4×D4×C67—21no—
471C4×D4×C67—21no—
472C4×D4×C67—21no—
473C4×D4×C67C2311yescharacteristic
474C4×D4×C67C2311yescharacteristic
475C4×D4×C67C2311yescharacteristic
476C4×D4×C67C2311yescharacteristic
477C4×D4×C67C2311yescharacteristic
478C4×D4×C67C2311yescharacteristic
479C4×D4×C67C2311yescharacteristic
480#117×C67—21no—
481#117×C67—21no—
482#117×C67C2311yescharacteristic
483#117×C67C2311yescharacteristic
484#117×C67C2311yescharacteristic
485C2×C4⋊C4×C67C2311yescharacteristic
486C2×C4⋊C4×C67C2311yescharacteristic
487C2×C22⋊C4×C67—21no—
488C2×C22⋊C4×C67—21no—
489C2×C22⋊C4×C67—21no—
490C23×D67—21no—
491#11761628—22no—
492#11761628—22no—
493#11761628—22no—
494#11761628—22no—
495#11761628—22no—
496#11761628—22no—
497#11761628—41no—
498#11761628—41no—
499#11761628—41no—
500#11761628—41no—
501#11761628—41no—
502#11761628—41no—
503#11761628—44no—
504#11761628—44no—
505#11761627—44no—
506#11761627—44no—
507#11761627—44no—
508C2×Dic134—22no—
509C2×Dic134—22no—
510C2×Dic134—22no—
511C2×Dic134—21no—
512C2×Dic134—21no—
513C2×Dic134—21no—
514C2×Dic134—21no—
515C2×Dic134—41no—
516C2×Dic134—41no—
517C2×Dic134—41no—
518C2×Dic134—41no—
519C2×Dic134—41no—
520C2×Dic134C2411yescharacteristic
521C2×Dic134C2411yescharacteristic
522C2×Dic134C2411yescharacteristic
523C2×Dic134C2411yescharacteristic
524Q8×D67—44no—
525C2×D268—22no—
526C2×D268—21no—
527C2×D268—41no—
528C2×D268C2411yescharacteristic
529C2×D268C2411yescharacteristic
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—44no—
539C22×Dic67—21no—
540C22×Dic67—21no—
541C22×Dic67—21no—
542C22×Dic67—21no—
543C22×Dic67—21no—
544C2×C4×D67—21no—
545C2×C4×D67—21no—
546C2×C4×D67—21no—
547C2×C4×D67—21no—
548C2×C4×D67—21no—
549C2×C4×D67—21no—
550C2×C4×D67—21no—
551C2×C4×D67—21no—
552C2×C4×D67—44no—
553#11761618—22no—
554#11761618—41no—
555#11761618—41no—
556#11761618—41no—
557#11761616—22no—
558#11761616—22no—
559#11761616—22no—
560#11761616—41no—
561#11761616—41no—
562#11761616—41no—
563#11761616—41no—
564#11761616—41no—
565#11761616—41no—
566#11761616—41no—
567#11761616—41no—
568#11761616—41no—
569#11761615—22no—
570#11761615—41no—
571#11761613—22no—
572#11761613—22no—
573#11761613—22no—
574#11761613—41no—
575#11761613—41no—
576#11761613—41no—
577#11761612—41no—
578#11761612—41no—
579#11761612—41no—
580#11761612—41no—
581#11761612—41no—
582#11761612—41no—
583C2×C67⋊C8—41no—
584C2×C67⋊C8—41no—
585C2×C67⋊C8C2411yescharacteristic
586C2×C67⋊C8C2411yescharacteristic
587C2×C67⋊C8C2411yescharacteristic
588C2×C67⋊C8C2411yescharacteristic
589C2×C67⋊C8C2411yescharacteristic
590C2×C67⋊C8C2411yescharacteristic
591C2×C67⋊C8C2411yescharacteristic
592C2×C67⋊C8C2411yescharacteristic
593C4⋊Dic67—21no—
594C4⋊Dic67—21no—
595C4⋊Dic67—21no—
596C4⋊Dic67—21no—
597C4⋊Dic67—21no—
598C4⋊Dic67C2411yescharacteristic
599C4⋊Dic67C2411yescharacteristic
600Dic67⋊C4—21no—
601Dic67⋊C4—21no—
602Dic67⋊C4—21no—
603Dic67⋊C4—21no—
604Dic67⋊C4—21no—
605Dic67⋊C4—21no—
606Dic67⋊C4—21no—
607Dic67⋊C4—21no—
608C22⋊Dic67—21no—
609C22⋊Dic67—21no—
610C22⋊Dic67—21no—
611C22⋊Dic67—21no—
612C22⋊Dic67—21no—
613C22⋊Dic67—21no—
614(C2×D67)⋊C4—21no—
615(C2×D67)⋊C4—21no—
616(C2×D67)⋊C4—21no—
617(C2×D67)⋊C4—21no—
618(C2×D67)⋊C4—21no—
619(C2×D67)⋊C4—21no—
620(C2×D67)⋊C4—21no—
621(C2×D67)⋊C4—21no—
622C4×Dic67—21no—
623C4×Dic67—21no—
624C24×C67—21no—
625C24×C67—21no—
626C24×C67C2×D411yescharacteristic
627#41×C67—41no—
628#41×C67—41no—
629#41×C67—41no—
630#41×C67—41no—
631#41×C67—41no—
632#41×C67—41no—
633#41×C67—82no—
634C2×Q8×C67—21no—
635C2×Q8×C67C2×D411yescharacteristic
636C2×Q8×C67C2411yescharacteristic
637C2×D4×C67—21no—
638C2×D4×C67—21no—
639C2×D4×C67—21no—
640C2×D4×C67—21no—
641C2×D4×C67—21no—
642C2×D4×C67—21no—
643C2×D4×C67—21no—
644C2×D4×C67—21no—
645C2×D4×C67—21no—
646C2×D4×C67—21no—
647C2×D4×C67—21no—
648C2×D4×C67—21no—
649C2×D4×C67—21no—
650C2×D4×C67—21no—
651C2×D4×C67—21no—
652C2×D4×C67—41no—
653C2×D4×C67—41no—
654C2×D4×C67—41no—
655C2×D4×C67—41no—
656C2×D4×C67—82no—
657C2×D4×C67—82no—
658C2×D4×C67C2×D411yescharacteristic
659C2×D4×C67C2×D411yescharacteristic
660C2×D4×C67C2×D411yescharacteristic
661C2×D4×C67C2×D411yescharacteristic
662C2×D4×C67C2×D411yescharacteristic
663C2×D4×C67C2×D411yescharacteristic
664C2×D4×C67C2×D411yescharacteristic
665C2×D4×C67C2411yescharacteristic
666C2×D4×C67C2411yescharacteristic
667C2×D4×C67C2411yescharacteristic
668C22×C4×C67—21no—
669C22×C4×C67—21no—
670C22×C4×C67—21no—
671C22×C4×C67—21no—
672C22×C4×C67—21no—
673C22×C4×C67—21no—
674C22×C4×C67—21no—
675C22×C4×C67—41no—
676C22×C4×C67—41no—
677C22×C4×C67C2×D411yescharacteristic
678C22×C4×C67C2×D411yescharacteristic
679C22×C4×C67C2×D411yescharacteristic
680C22×C4×C67C2411yescharacteristic
681C22×C4×C67C2411yescharacteristic
682C22×C4×C67C2411yescharacteristic
683C22×C4×C67C2411yescharacteristic
684C22×C4×C67C2411yescharacteristic
685C4⋊C4×C67—21no—
686C4⋊C4×C67—21no—
687C4⋊C4×C67—21no—
688C4⋊C4×C67—21no—
689C4⋊C4×C67—21no—
690C4⋊C4×C67—21no—
691C4⋊C4×C67—21no—
692C4⋊C4×C67—21no—
693C4⋊C4×C67—21no—
694C4⋊C4×C67C2×D411yescharacteristic
695C4⋊C4×C67C2×D411yescharacteristic
696C4⋊C4×C67C2×D411yescharacteristic
697C4⋊C4×C67C2×D411yescharacteristic
698C4⋊C4×C67C2×D411yescharacteristic
699C4⋊C4×C67C2×D411yescharacteristic
700C4⋊C4×C67C2411yescharacteristic
701C4⋊C4×C67C2411yescharacteristic
702C4⋊C4×C67C2411yescharacteristic
703C4⋊C4×C67C2411yescharacteristic
704C22⋊C4×C67—21no—
705C22⋊C4×C67—21no—
706C22⋊C4×C67—21no—
707C22⋊C4×C67—21no—
708C22⋊C4×C67—21no—
709C22⋊C4×C67—21no—
710C22⋊C4×C67—21no—
711C22⋊C4×C67—21no—
712C22⋊C4×C67—21no—
713C22⋊C4×C67—21no—
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
725C22⋊C4×C67C2×D411yescharacteristic
726C22⋊C4×C67C2×D411yescharacteristic
727C22⋊C4×C67C2×D411yescharacteristic
728C22⋊C4×C67C2×D411yescharacteristic
729C22⋊C4×C67C2×D411yescharacteristic
730C22⋊C4×C67C2×D411yescharacteristic
731C22⋊C4×C67C2×D411yescharacteristic
732C22⋊C4×C67C2×D411yescharacteristic
733C42×C67—21no—
734C42×C67—21no—
735C42×C67—21no—
736C42×C67C2411yescharacteristic
737C42×C67C2411yescharacteristic
738C23×C67—21no—
739C23×C67—21no—
740C23×C67—21no—
741C23×C67—41no—
742C23×C67—41no—
743C23×C67—41no—
744C23×C67—42no—
745C23×C67—81no—
746C23×C67—81no—
747C23×C67—81no—
748C23×C67—81no—
749C23×C67—81no—
750C23×C67C22×D411yescharacteristic
751C23×C67C22×D411yescharacteristic
752C23×C67C22×D411yescharacteristic
753C23×C67C22×D411yescharacteristic
754C23×C67C22×D411yescharacteristic
755C22×D67—21no—
756C22×D67—21no—
757C22×D67—42no—
758C22×D67—42no—
759C22×D67—81no—
760Q8×C67—21no—
761Q8×C67—21no—
762Q8×C67—41no—
763Q8×C67—81no—
764D4×C67—21no—
765D4×C67—21no—
766D4×C67—21no—
767D4×C67—21no—
768D4×C67—21no—
769D4×C67—21no—
770D4×C67—41no—
771D4×C67—41no—
772D4×C67—41no—
773D4×C67—41no—
774D4×C67—41no—
775D4×C67—41no—
776D4×C67—41no—
777D4×C67—42no—
778D4×C67—81no—
779D4×C67—81no—
780D4×C67—81no—
781D4×C67—81no—
782D4×C67—81no—
783D4×C67—81no—
784D4×C67—81no—
785D4×C67—81no—
786D4×C67—81no—
787D4×C67—81no—
788D4×C67—81no—
789D4×C67—81no—
790D4×C67—81no—
791D4×C67—81no—
792C2×C4×C67—21no—
793C2×C4×C67—21no—
794C2×C4×C67—21no—
795C2×C4×C67—21no—
796C2×C4×C67—21no—
797C2×C4×C67—21no—
798C2×C4×C67—21no—
799C2×C4×C67—21no—
800C2×C4×C67—21no—
801C2×C4×C67—21no—
802C2×C4×C67—21no—
803C2×C4×C67—21no—
804C2×C4×C67—21no—
805C2×C4×C67—21no—
806C2×C4×C67—21no—
807C2×C4×C67—41no—
808C2×C4×C67—41no—
809C2×C4×C67—41no—
810C2×C4×C67—42no—
811C2×C4×C67—81no—
812C2×C4×C67—81no—
813C2×C4×C67—81no—
814C2×C4×C67—81no—
815C2×C4×C67—81no—
816C2×C4×C67—81no—
817C2×C4×C67C22×D411yescharacteristic
818C2×C4×C67C22×D411yescharacteristic
819C2×C4×C67C22×D411yescharacteristic
820C2×C4×C67C22×D411yescharacteristic
821C2×C4×C67C22×D411yescharacteristic
822C2×C4×C67C22×D411yescharacteristic
823C2×C4×C67C22×D411yescharacteristic
824C2×C4×C67C22×D411yescharacteristic
825C2×C4×C67C22×D411yescharacteristic
826C2×C4×C67C2511yescharacteristic
827C22⋊D67—24no—
828C22⋊D67—42no—
829C22⋊D67—42no—
830C22⋊D67—42no—
831C22⋊D67—42no—
832C22⋊D67—42no—
833C22⋊D67—81no—
834C22⋊D67—81no—
835C2×Dic67—21no—
836C2×Dic67—21no—
837C2×Dic67—21no—
838C2×Dic67—21no—
839C2×Dic67—21no—
840C2×Dic67—21no—
841C2×Dic67—42no—
842C2×Dic67—42no—
843C2×Dic67—42no—
844C2×Dic67—42no—
845C2×Dic67—81no—
846D268—21no—
847D268—21no—
848D268—21no—
849D268—42no—
850D268H(5,𝔽2)12yes—
851C4×D67—24no—
852C4×D67—42no—
853C4×D67—42no—
854C4×D67—42no—
855C4×D67—42no—
856C4×D67—42no—
857C4×D67—81no—
858C4×D67—81no—
859Dic134—21no—
860Dic134—21no—
861Dic134—21no—
862Dic134—21no—
863Dic134—21no—
864Dic134—21no—
865Dic134—21no—
866Dic134—42no—
867Dic134—42no—
868Dic134—42no—
869Dic134—42no—
870Dic134H(5,𝔽2)12yes—
871C67⋊C8—21no—
872C67⋊C8—21no—
873C67⋊C8—21no—
874C67⋊C8—21no—
875C67⋊C8—21no—
876C67⋊C8—21no—
877C67⋊C8—21no—
878C67⋊C8—21no—
879C22×C67—21no—
880C22×C67—21no—
881C22×C67—21no—
882C22×C67—21no—
883C22×C67—21no—
884C22×C67—21no—
885C22×C67—21no—
886C22×C67—21no—
887C22×C67—21no—
888C22×C67—21no—
889C22×C67—21no—
890C22×C67—21no—
891C22×C67—21no—
892C22×C67—21no—
893C22×C67—21no—
894C22×C67—41no—
895C22×C67—41no—
896C22×C67—41no—
897C22×C67—41no—
898C22×C67—41no—
899C22×C67—41no—
900C22×C67—41no—
901C22×C67—41no—
902C22×C67—41no—
903C22×C67—82no—
904C22×C67—162no—
905C22×C67—162no—
906C22×C67C23×D411yescharacteristic
907C2×D67—22no—
908C2×D67—41no—
909C2×D67—41no—
910C2×D67—41no—
911C2×D67—41no—
912C2×D67—41no—
913C2×D67—84no—
914C4×C67—21no—
915C4×C67—21no—
916C4×C67—21no—
917C4×C67—21no—
918C4×C67—21no—
919C4×C67—21no—
920C4×C67—21no—
921C4×C67—21no—
922C4×C67—21no—
923C4×C67—41no—
924C4×C67—41no—
925C4×C67—41no—
926C4×C67—41no—
927C4×C67—41no—
928C4×C67C2×H(5,𝔽2)11yescharacteristic
929C4×C67C2×H(5,𝔽2)11yescharacteristic
930Dic67—22no—
931Dic67—41no—
932Dic67—41no—
933Dic67—41no—
934Dic67—41no—
935Dic67—41no—
936#61656—671nomaximal, Sylow
937C2×C67—41no—
938C2×C67—41no—
939C2×C67—41no—
940C2×C67—41no—
941C2×C67—41no—
942C2×C67—81no—
943C2×C67—81no—
944C2×C67—81no—
945C2×C67#348411yescharacteristic
946C2×C67#358511yescharacteristic
947C2×C67#358611yescharacteristic
948D67—42no—
949D67—81no—
950#3542D6711yescharacteristic, complemented
951#3489—671no—
952#3330—671no—
953#3329—671no—
954#3327—671no—
955#3322—671no—
956#3320—671no—
957#3319—671no—
958#3315—671no—
959#3308—671no—
960#3278—671no—
961#3275—671no—
962#3273—671no—
963#3272—671no—
964#3268—671no—
965#3267—671no—
966#3266—671no—
967#3265—671no—
968#3225—671no—
969#3221—671no—
970#3203—671no—
971#3198—671no—
972#3196—671no—
973#3193—671no—
974#3124—671no—
975#3119—671no—
976#3013—671no—
977#3010—671no—
978#3006—671no—
979#3005—671no—
980#2978—671no—
981C67#6165611yescharacteristic, complemented, Sylow
982C2×2−1+4—671no—
983C22×#41—671no—
984C2×#137—671no—
985C2×#137—671no—
986C2×AGL(1,ℤ/8)—671no—
987C2×AGL(1,ℤ/8)—671no—
988C2×AGL(1,ℤ/8)—671no—
989C2×AGL(1,ℤ/8)—671no—
990C2×#135—671no—
991C22×SD16—671no—
992#562—21no—
993#560—21no—
994#555C2×D6711yescharacteristic
995#553C2×D6711yescharacteristic
996#552C2×D6711yescharacteristic, complemented
997#551—21no—
998#550C2×D6711yescharacteristic
999D4×Q8—671no—
1000D4×Q8—671no—
1001#548—671no—
1002#548—671no—
1003#547—671no—
1004#547—671no—
1005#547—1341no—
1006#547—1341no—
1007#547C2×D6711yescharacteristic, complemented
1008#546—21no—
1009#546—671no—
1010#546—671no—
1011#546—1341no—
1012#546—1341no—
1013#546C2×D6711yescharacteristic
1014#546C2×D6711yescharacteristic, complemented
1015D42C2×D6711yescharacteristic, complemented
1016#542C2×D6711yescharacteristic, complemented
1017#540—21no—
1018#540C2×D6711yescharacteristic, complemented
1019#538—21no—
1020#537—671no—
1021#537—1341no—
1022#537C2×D6711yescharacteristic, complemented
1023#536—671no—
1024#536—1341no—
1025#535—21no—
1026#535C2×D6711yescharacteristic, complemented
1027#534—21no—
1028#525—1341no—
1029#525C2×D6711yescharacteristic
1030#525C2×D6711yescharacteristic
1031C2×C22⋊Q8—671no—
1032C2×C22⋊Q8—1341no—
1033C2×#121C2×D6711yescharacteristic
1034#520—671no—
1035#497—671no—
1036#496—671no—
1037#495—671no—
1038#492—671no—
1039#491—671no—
1040#489—671no—
1041#488—671no—
1042#487—671no—
1043#485—671no—
1044#485—671no—
1045#485—671no—
1046#484—671no—
1047#484—671no—
1048#484—671no—
1049#484—671no—
1050#482—671no—
1051#481—671no—
1052#480—671no—
1053#480—671no—
1054#480—671no—
1055#479—671no—
1056#478—671no—
1057#477—671no—
1058#474—671no—
1059#470—671no—
1060#470—671no—
1061#469—671no—
1062#468—671no—
1063#468—671no—
1064#468—671no—
1065#468—671no—
1066#468—671no—
1067#468—671no—
1068#468—671no—
1069#468—671no—
1070#468—671no—
1071#467—671no—
1072#466—671no—
1073#466—671no—
1074#465—671no—
1075#464—671no—
1076#464—671no—
1077#463—671no—
1078#463—671no—
1079#463—671no—
1080#463—671no—
1081#462—671no—
1082#461—671no—
1083#461—671no—
1084#461—671no—
1085#460—671no—
1086#459—671no—
1087#452—671no—
1088#452—671no—
1089#452—671no—
1090#452—671no—
1091#452—671no—
1092#452—671no—
1093#452—671no—
1094#452—671no—
1095#451—671no—
1096#451—671no—
1097#450—671no—
1098#450—671no—
1099#450—671no—
1100#449—671no—
1101#449—671no—
1102#449—671no—
1103#449—671no—
1104#449—671no—
1105#449—671no—
1106#449—671no—
1107#449—671no—
1108#449—671no—
1109#449—671no—
1110#449—671no—
1111#449—671no—
1112#448—671no—
1113#448—671no—
1114#448—671no—
1115#448—671no—
1116#448—671no—
1117#448—671no—
1118#448—671no—
1119#448—671no—
1120#447—671no—
1121#447—671no—
1122#447—671no—
1123#442—671no—
1124#440—671no—
1125#440—671no—
1126#440—671no—
1127C4×Q16—671no—
1128C4×SD16—671no—
1129C4×D8—671no—
1130C4×D8—671no—
1131#436—671no—
1132#436—671no—
1133#436—671no—
1134#436—671no—
1135#435—671no—
1136#435—671no—
1137#435—671no—
1138#435—671no—
1139#433—671no—
1140#433—671no—
1141#419—671no—
1142#419—671no—
1143#418—671no—
1144#417—671no—
1145#417—671no—
1146#417—671no—
1147#416—671no—
1148C2×#103—671no—
1149#408—671no—
1150#408—671no—
1151#407—671no—
1152#407—671no—
11532−1+4—2682no—
11542−1+4—2682no—
1155C2×#41—21no—
1156C2×#41—2682no—
1157C2×#41—2682no—
1158C2×#41—671no—
1159C2×#41—671no—
1160C2×#41—671no—
1161C2×#41—671no—
1162C2×#41—671no—
1163C2×#41—671no—
1164C2×#41—1341no—
1165C2×#41—1341no—
1166C2×#41—1341no—
1167C2×#41—1341no—
1168C2×#41—1341no—
1169C2×#41C22×D6711yescharacteristic
1170C2×#41C22×D6711yescharacteristic
1171C2×#41C22×D6711yescharacteristic
1172C22×Q8—671no—
1173C22×Q8—671no—
1174C22×Q8—671no—
1175C22×Q8—671no—
1176C22×Q8—1341no—
1177C22×D4—21no—
1178C22×D4—21no—
1179C22×D4—671no—
1180C22×D4—1341no—
1181C22×D4C22×D6711yescharacteristic
1182C22×D4C22×D6711yescharacteristic
1183C23×C4—1341no—
1184C23×C4C22×D6711yescharacteristic
1185#137—2682no—
1186#137—2682no—
1187AGL(1,ℤ/8)—2682no—
1188AGL(1,ℤ/8)—2682no—
1189AGL(1,ℤ/8)—2682no—
1190AGL(1,ℤ/8)—2682no—
1191#135—2682no—
1192C2×Q16—671no—
1193C2×Q16—671no—
1194C2×Q16—671no—
1195C2×Q16—671no—
1196C2×SD16—2682no—
1197C2×SD16—671no—
1198C2×SD16—671no—
1199C2×SD16—671no—
1200C2×SD16—671no—
1201C2×SD16—671no—
1202C2×SD16—671no—
1203C2×SD16—671no—
1204C2×SD16—671no—
1205C2×SD16—671no—
1206C2×SD16—671no—
1207C2×SD16—671no—
1208C2×SD16—671no—
1209C2×SD16—671no—
1210C2×SD16—671no—
1211C2×D8—671no—
1212C2×D8—671no—
1213C2×D8—671no—
1214C2×D8—671no—
1215C2×D8—671no—
1216C2×D8—671no—
1217C2×M16—671no—
1218C2×M16—671no—
1219C2×M16—671no—
1220C2×M16—671no—
1221C2×M16—671no—
1222C2×M16—671no—
1223C22×C8—671no—
1224C22×C8—671no—
1225C4⋊Q8—671no—
1226C4⋊Q8—671no—
1227C4⋊Q8—1341no—
1228C4⋊Q8—1341no—
1229C4⋊Q8C22×D6711yescharacteristic
1230#127—21no—
1231#127—21no—
1232#127C22×D6711yescharacteristic
1233#126—21no—
1234#126—21no—
1235#126—21no—
1236#125—21no—
1237#125C22×D6711yescharacteristic
1238#124—21no—
1239#124—21no—
1240#124—21no—
1241#124—21no—
1242#124—671no—
1243#124—671no—
1244#124—1341no—
1245#124—1341no—
1246#124C22×D6711yescharacteristic
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—21no—
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#123C22⋊D6711yescharacteristic
1266#123C22⋊D6711yescharacteristic
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—671no—
1271C22⋊Q8—671no—
1272C22⋊Q8—671no—
1273C22⋊Q8—671no—
1274C22⋊Q8—671no—
1275C22⋊Q8—671no—
1276C22⋊Q8—1341no—
1277C22⋊Q8—1341no—
1278C22⋊Q8—1341no—
1279C22⋊Q8—1341no—
1280C22⋊Q8—1341no—
1281C22⋊Q8—1341no—
1282C22⋊Q8—1341no—
1283C22⋊Q8—1341no—
1284C22⋊Q8—1341no—
1285C22⋊Q8—1341no—
1286C22⋊Q8—1341no—
1287C22⋊Q8C22⋊D6711yescharacteristic
1288C22⋊Q8C22⋊D6711yescharacteristic
1289C22⋊Q8C22×D6711yescharacteristic
1290C22⋊Q8C22×D6711yescharacteristic
1291C22⋊Q8C22×D6711yescharacteristic
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—671no—
1307#121—671no—
1308#121—1341no—
1309#121—1341no—
1310#121—1341no—
1311#121—1341no—
1312#121—1341no—
1313#121—1341no—
1314#121—1341no—
1315#121—1341no—
1316#121—1341no—
1317#121C22⋊D6711yescharacteristic
1318#121C22⋊D6711yescharacteristic
1319#121C22×D6711yescharacteristic
1320#121C22×D6711yescharacteristic
1321#121C22×D6711yescharacteristic
1322#121C22×D6711yescharacteristic
1323#121C22×D6711yescharacteristic
1324#121C22×D6711yescharacteristic
1325#121C22×D6711yescharacteristic
1326#121C22×D6711yescharacteristic
1327#121C22×D6711yescharacteristic
1328#120—21no—
1329#120—21no—
1330#120—21no—
1331#120—21no—
1332#120—21no—
1333#120—21no—
1334#120—21no—
1335#120—1341no—
1336#120—1341no—
1337#120C22⋊D6711yescharacteristic
1338#120C22⋊D6711yescharacteristic
1339C4×Q8—671no—
1340C4×Q8—671no—
1341C4×Q8C22×D6711yescharacteristic
1342C4×D4—21no—
1343C4×D4—21no—
1344C4×D4—21no—
1345C4×D4—21no—
1346C4×D4—671no—
1347C4×D4—671no—
1348C4×D4—1341no—
1349C4×D4—1341no—
1350C4×D4—1341no—
1351C4×D4—1341no—
1352C4×D4—1341no—
1353C4×D4—1341no—
1354C4×D4C22×D6711yescharacteristic
1355C4×D4C22×D6711yescharacteristic
1356C4×D4C22×D6711yescharacteristic
1357C4×D4C22×D6711yescharacteristic
1358C4×D4C22×D6711yescharacteristic
1359C4×D4C22×D6711yescharacteristic
1360C4×D4C22×D6711yescharacteristic
1361#117—21no—
1362#117—21no—
1363#117—1341no—
1364#117C22×D6711yescharacteristic
1365#117C22×D6711yescharacteristic
1366#117C22×D6711yescharacteristic
1367C2×C4⋊C4—671no—
1368C2×C4⋊C4—1341no—
1369C2×C4⋊C4—1341no—
1370C2×C4⋊C4—1341no—
1371C2×C4⋊C4—1341no—
1372C2×C4⋊C4C22×D6711yescharacteristic
1373C2×C4⋊C4C22×D6711yescharacteristic
1374C2×C22⋊C4—21no—
1375C2×C22⋊C4—21no—
1376C2×C22⋊C4—21no—
1377C2×C22⋊C4—1341no—
1378C2×C22⋊C4—1341no—
1379C2×C22⋊C4—1341no—
1380#107—671no—
1381#107—671no—
1382#107—671no—
1383#107—671no—
1384#107—671no—
1385#107—671no—
1386#106—671no—
1387#106—671no—
1388C4⋊C8—671no—
1389C4⋊C8—671no—
1390C4⋊C8—671no—
1391C4⋊C8—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#103—671no—
1401#103—671no—
1402#103—671no—
1403#103—671no—
1404#103—671no—
1405#103—671no—
1406#103—671no—
1407#103—671no—
1408#103—671no—
1409#103—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—
1424C22⋊C8—671no—
1425C22⋊C8—671no—
1426C22⋊C8—671no—
1427C22⋊C8—671no—
1428C22⋊C8—671no—
1429C22⋊C8—671no—
1430C22⋊C8—671no—
1431C22⋊C8—671no—
1432C22⋊C8—671no—
1433C22⋊C8—671no—
1434C22⋊C8—671no—
1435C22⋊C8—671no—
1436#97—671no—
1437#97—671no—
1438C4×C8—671no—
1439C4×C8—671no—
1440C24—21no—
1441C24—21no—
1442C24—1341no—
1443C24C2×C22⋊D6711yescharacteristic
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—82no—
1451#41—2681no—
1452#41—2681no—
1453#41—2681no—
1454#41—2681no—
1455#41—2681no—
1456#41—2681no—
1457#41—2684no—
1458#41—2684no—
1459#41—2684no—
1460#41—2684no—
1461#41—2684no—
1462#41—1342no—
1463#41—1342no—
1464#41—1342no—
1465#41—1342no—
1466#41—1342no—
1467#41—1342no—
1468C2×Q8—21no—
1469C2×Q8—2681no—
1470C2×Q8—2681no—
1471C2×Q8—2681no—
1472C2×Q8—2681no—
1473C2×Q8—2681no—
1474C2×Q8—2684no—
1475C2×Q8—671no—
1476C2×Q8—671no—
1477C2×Q8—671no—
1478C2×Q8—671no—
1479C2×Q8—1342no—
1480C2×Q8—1342no—
1481C2×Q8—1342no—
1482C2×Q8—1341no—
1483C2×Q8—1341no—
1484C2×Q8—1341no—
1485C2×Q8—1341no—
1486C2×Q8C2×C22⋊D6711yescharacteristic
1487C2×Q8C23×D6711yescharacteristic
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—41no—
1504C2×D4—41no—
1505C2×D4—41no—
1506C2×D4—41no—
1507C2×D4—82no—
1508C2×D4—82no—
1509C2×D4—2681no—
1510C2×D4—2684no—
1511C2×D4—671no—
1512C2×D4—671no—
1513C2×D4—1342no—
1514C2×D4—1341no—
1515C2×D4—1341no—
1516C2×D4—1341no—
1517C2×D4—1341no—
1518C2×D4—1341no—
1519C2×D4—1341no—
1520C2×D4—1341no—
1521C2×D4—1341no—
1522C2×D4—1341no—
1523C2×D4C2×C22⋊D6711yescharacteristic
1524C2×D4C2×C22⋊D6711yescharacteristic
1525C2×D4C2×C22⋊D6711yescharacteristic
1526C2×D4C2×C22⋊D6711yescharacteristic
1527C2×D4C2×C22⋊D6711yescharacteristic
1528C2×D4C2×C22⋊D6711yescharacteristic
1529C2×D4C2×C22⋊D6711yescharacteristic
1530C2×D4C23×D6711yescharacteristic
1531C2×D4C23×D6711yescharacteristic
1532C2×D4C23×D6711yescharacteristic
1533C22×C4—21no—
1534C22×C4—21no—
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—41no—
1541C22×C4—41no—
1542C22×C4—2684no—
1543C22×C4—1341no—
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—1341no—
1555C22×C4—1341no—
1556C22×C4C2×C22⋊D6711yescharacteristic
1557C22×C4C2×C22⋊D6711yescharacteristic
1558C22×C4C2×C22⋊D6711yescharacteristic
1559C22×C4C23×D6711yescharacteristic
1560C22×C4C23×D6711yescharacteristic
1561C22×C4C23×D6711yescharacteristic
1562C22×C4C23×D6711yescharacteristic
1563C22×C4C23×D6711yescharacteristic
1564Q16—2681no—
1565Q16—2681no—
1566Q16—2681no—
1567Q16—1342no—
1568SD16—2681no—
1569SD16—2681no—
1570SD16—2681no—
1571SD16—2681no—
1572SD16—2681no—
1573SD16—2681no—
1574SD16—2681no—
1575SD16—2681no—
1576SD16—2681no—
1577SD16—2681no—
1578SD16—1342no—
1579SD16—1342no—
1580SD16—1342no—
1581SD16—1342no—
1582D8—2681no—
1583D8—2681no—
1584D8—2681no—
1585D8—1342no—
1586D8—1342no—
1587D8—1342no—
1588M16—2681no—
1589M16—2681no—
1590M16—2681no—
1591M16—2681no—
1592M16—2681no—
1593M16—2681no—
1594C2×C8—2681no—
1595C2×C8—2681no—
1596C2×C8—671no—
1597C2×C8—671no—
1598C2×C8—671no—
1599C2×C8—671no—
1600C2×C8—671no—
1601C2×C8—671no—
1602C2×C8—671no—
1603C2×C8—671no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—671no—
1614C4⋊C4—671no—
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⋊C4—1341no—
1627C4⋊C4—1341no—
1628C4⋊C4C2×C22⋊D6711yescharacteristic
1629C4⋊C4C2×C22⋊D6711yescharacteristic
1630C4⋊C4C2×C22⋊D6711yescharacteristic
1631C4⋊C4C2×C22⋊D6711yescharacteristic
1632C4⋊C4C2×C22⋊D6711yescharacteristic
1633C4⋊C4C2×C22⋊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—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
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⋊C4C2×C22⋊D6711yescharacteristic
1672C22⋊C4C2×C22⋊D6711yescharacteristic
1673C22⋊C4C2×C22⋊D6711yescharacteristic
1674C22⋊C4C2×C22⋊D6711yescharacteristic
1675C22⋊C4C2×C22⋊D6711yescharacteristic
1676C22⋊C4C2×C22⋊D6711yescharacteristic
1677C22⋊C4C2×C22⋊D6711yescharacteristic
1678C22⋊C4C2×C22⋊D6711yescharacteristic
1679C22⋊C4C2×C22⋊D6711yescharacteristic
1680C22⋊C4C2×C22⋊D6711yescharacteristic
1681C42—21no—
1682C42—21no—
1683C42—21no—
1684C42—1341no—
1685C42—1341no—
1686C42C23×D6711yescharacteristic
1687C42C23×D6711yescharacteristic
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—41no—
1692C23—41no—
1693C23—41no—
1694C23—42no—
1695C23—81no—
1696C23—81no—
1697C23—81no—
1698C23—81no—
1699C23—81no—
1700C23—2682no—
1701C23—2682no—
1702C23—5361no—
1703C23—1341no—
1704C23—1341no—
1705C23C22×C22⋊D6711yescharacteristic
1706C23C22×C22⋊D6711yescharacteristic
1707C23C22×C22⋊D6711yescharacteristic
1708C23C22×C22⋊D6711yescharacteristic
1709C23C22×C22⋊D6711yescharacteristic
1710Q8—21no—
1711Q8—21no—
1712Q8—41no—
1713Q8—81no—
1714Q8—2682no—
1715Q8—2682no—
1716Q8—2682no—
1717Q8—2682no—
1718Q8—672no—
1719Q8—1341no—
1720Q8—1341no—
1721Q8—1341no—
1722Q8—1341no—
1723Q8—1341no—
1724Q8—1341no—
1725Q8—1341no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—41no—
1733D4—41no—
1734D4—41no—
1735D4—41no—
1736D4—41no—
1737D4—41no—
1738D4—41no—
1739D4—42no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—81no—
1746D4—81no—
1747D4—81no—
1748D4—81no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—2682no—
1755D4—2682no—
1756D4—2682no—
1757D4—2682no—
1758D4—2682no—
1759D4—2682no—
1760D4—5361no—
1761D4—5361no—
1762D4—672no—
1763D4—1344no—
1764D4—1341no—
1765D4—1341no—
1766D4—1341no—
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—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—42no—
1786C2×C4—81no—
1787C2×C4—81no—
1788C2×C4—81no—
1789C2×C4—81no—
1790C2×C4—81no—
1791C2×C4—81no—
1792C2×C4—2682no—
1793C2×C4—2682no—
1794C2×C4—2682no—
1795C2×C4—2682no—
1796C2×C4—2682no—
1797C2×C4—2682no—
1798C2×C4—2682no—
1799C2×C4—2682no—
1800C2×C4—2682no—
1801C2×C4—5361no—
1802C2×C4—5361no—
1803C2×C4—5361no—
1804C2×C4—1344no—
1805C2×C4—1341no—
1806C2×C4—1341no—
1807C2×C4—1341no—
1808C2×C4—1341no—
1809C2×C4—1341no—
1810C2×C4—1341no—
1811C2×C4C22×C22⋊D6711yescharacteristic
1812C2×C4C22×C22⋊D6711yescharacteristic
1813C2×C4C22×C22⋊D6711yescharacteristic
1814C2×C4C22×C22⋊D6711yescharacteristic
1815C2×C4C22×C22⋊D6711yescharacteristic
1816C2×C4C22×C22⋊D6711yescharacteristic
1817C2×C4C22×C22⋊D6711yescharacteristic
1818C2×C4C22×C22⋊D6711yescharacteristic
1819C2×C4C22×C22⋊D6711yescharacteristic
1820C2×C4C24×D6711yescharacteristic
1821C8—1341no—
1822C8—1341no—
1823C8—1341no—
1824C8—1341no—
1825C8—1341no—
1826C8—1341no—
1827C8—1341no—
1828C8—1341no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—82no—
1854C22—2681no—
1855C22—2681no—
1856C22—2681no—
1857C22—2681no—
1858C22—2681no—
1859C22—162no—
1860C22—162no—
1861C22—5364no—
1862C22—1342no—
1863C22C23×C22⋊D6711yescharacteristic
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—2681no—
1879C4—2681no—
1880C4—2681no—
1881C4—2681no—
1882C4—2681no—
1883C4—1342no—
1884C4H(5,𝔽2)×D6711yescharacteristic
1885C4H(5,𝔽2)×D6711yescharacteristic
1886C2—41no—
1887C2—41no—
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—81no—
1892C2—81no—
1893C2—81no—
1894C2—2682no—
1895C2—5361no—
1896C2#2257384011yescharacteristic
1897C2#2257498911yescharacteristic
1898C2#2257499511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3542C2
socleC22×C67C23×D4
hypercenter#3542D67
hypocenterC67#61656
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ #525 ◁ #3542

Complements

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

NH ≅ G/Ntype
1. #22573881C2semidirect
2. #22572508C2semidirect
3. #22572497C2semidirect
4. #22572471C2semidirect
5. #22572404C2semidirect
6. #22572374C2semidirect
7. #22572359C2semidirect
8. #22572299C2semidirect
9. #22572194C2semidirect
10. #22571875C2semidirect
11. #22571836C2semidirect
12. #22571816C2semidirect
13. #22571805C2semidirect
14. #22571750C2semidirect
15. #22571730C2semidirect
16. #22571715C2semidirect
17. #22571700C2semidirect
18. #22571312C2semidirect
19. #22571264C2semidirect
20. #22571106C2semidirect
21. #22571061C2semidirect
22. #22571035C2semidirect
23. #22571015C2semidirect
24. #22570465C2semidirect
25. #22570402C2semidirect
26. #22569521C2semidirect
27. #22569493C2semidirect
28. #22569459C2semidirect
29. #22569449C2semidirect
30. #22569271C2semidirect
31. C67×#3542C2semidirect
32. C2×#14524090C22semidirect
33. C22×#11761628C22semidirect
34. C2×#14524073C22semidirect
35. C2×#14524073C22semidirect
38. C2×#14524069C22semidirect
39. C2×#14524068C22semidirect
40. C2×#14524063C22semidirect
41. C22×#11761616C22semidirect
42. D4×Dic134C22semidirect
43. D4×Dic134C22semidirect
45. #16864055C22semidirect
47. #16864051C22semidirect
50. #16864042C22semidirect
51. #16864042C22semidirect
55. #16863974C22semidirect
56. #16863972C22semidirect
59. C2×#14524022C22semidirect
61. #16863876C22semidirect
62. #16863791C22semidirect
63. #16863783C22semidirect
64. #16863778C22semidirect
65. #16863768C22semidirect
66. #16863766C22semidirect
67. #16863758C22semidirect
68. #16863753C22semidirect
69. #16863748C22semidirect
70. #16863737C22semidirect
71. #16863737C22semidirect
72. #16863737C22semidirect
73. #16863731C22semidirect
74. #16863731C22semidirect
75. #16863731C22semidirect
76. #16863729C22semidirect
77. #16863720C22semidirect
78. #16863712C22semidirect
79. #16863709C22semidirect
80. #16863707C22semidirect
81. #16863707C22semidirect
82. #16863700C22semidirect
83. #16863693C22semidirect
84. #16863688C22semidirect
85. #16863673C22semidirect
86. #16863652C22semidirect
87. #16863652C22semidirect
88. #16863647C22semidirect
89. #16863644C22semidirect
92. #16863640C22semidirect
93. #16863640C22semidirect
94. #16863640C22semidirect
95. #16863640C22semidirect
96. #16863640C22semidirect
97. #16863640C22semidirect
98. #16863635C22semidirect
99. #16863630C22semidirect
100. #16863630C22semidirect
101. #16863623C22semidirect
102. #16863618C22semidirect
103. #16863615C22semidirect
104. #16863611C22semidirect
105. #16863611C22semidirect
106. #16863611C22semidirect
107. #16863608C22semidirect
108. #16863606C22semidirect
109. #16863601C22semidirect
110. #16863601C22semidirect
111. #16863601C22semidirect
112. #16863593C22semidirect
113. #16863588C22semidirect
114. #16863558C22semidirect
115. #16863558C22semidirect
116. #16863558C22semidirect
117. #16863556C22semidirect
118. #16863556C22semidirect
119. #16863556C22semidirect
120. #16863556C22semidirect
121. #16863556C22semidirect
122. #16863551C22semidirect
123. #16863551C22semidirect
124. #16863547C22semidirect
125. #16863547C22semidirect
126. #16863547C22semidirect
127. #16863541C22semidirect
132. #16863539C22semidirect
133. #16863539C22semidirect
134. #16863539C22semidirect
135. #16863539C22semidirect
136. #16863539C22semidirect
137. #16863539C22semidirect
138. #16863539C22semidirect
140. #16863534C22semidirect
141. #16863534C22semidirect
142. #16863534C22semidirect
143. #16863534C22semidirect
144. #16863534C22semidirect
145. #16863534C22semidirect
146. #16863534C22semidirect
147. #16863530C22semidirect
149. #16863529C22semidirect
150. #16863506C22semidirect
151. #16863496C22semidirect
152. #16863496C22semidirect
153. #16863494C22semidirect
154. C4×#11761618C22semidirect
155. C4×#11761616C22semidirect
156. C4×#11761613C22semidirect
157. C4×#11761613C22semidirect
158. #16863474C22semidirect
159. #16863474C22semidirect
160. #16863474C22semidirect
161. #16863474C22semidirect
162. #16863468C22semidirect
163. #16863468C22semidirect
164. #16863468C22semidirect
165. #16863468C22semidirect
166. #16863457C22semidirect
167. #16863457C22semidirect
168. #16863404C22semidirect
169. #16863404C22semidirect
170. #16863400C22semidirect
171. #16863395C22semidirect
172. #16863395C22semidirect
173. #16863395C22semidirect
174. #16863390C22semidirect
175. C2×#14523966C22semidirect
176. #16863363C22semidirect
177. #16863363C22semidirect
178. #16863360C22semidirect
179. #16863360C22semidirect
184. #552×C67C22semidirect
187. #547×C67C22semidirect
190. #546×C67C22semidirect
191. D42×C67C22semidirect
192. #542×C67C22semidirect
194. #540×C67C22semidirect
196. #537×C67C22semidirect
198. #535×C67C22semidirect
950. #3542D67semidirect
981. C67#61656semidirect
996. #552C2×D67semidirect
1007. #547C2×D67semidirect
1014. #546C2×D67semidirect
1015. D42C2×D67semidirect
1016. #542C2×D67semidirect
1018. #540C2×D67semidirect
1022. #537C2×D67semidirect
1026. #535C2×D67semidirect

Maximal subgroups

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

subgroupindex
#225738812
#225725082
#225724972
#225724712
#225724042
#225723742
#225723592
#225722992
#225721942
#225718752
#225718362
#225718162
#225718052
#225717502
#225717302
#225717152
#225717002
#225713122
#225712642
#225711062
#225710612
#225710352
#225710152
#225704652
#225704022
#225695212
#225694932
#225694592
#225694492
#225692712
C67×#35422
#6165667