Finite Group Databasebeta

← #31741411

Subgroups — #31741411

Order 17152.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574502C211yesmaximal, characteristic, complemented
2#22572440C211yesmaximal, characteristic, complemented
3#22572425C211yesmaximal, characteristic, complemented
4#22572350C211yesmaximal, characteristic, complemented
5#22572290C211yesmaximal, characteristic, complemented
6#22572245C211yesmaximal, characteristic, complemented
7#22572230C211yesmaximal, characteristic, complemented
8#22572059C211yesmaximal, characteristic, complemented
9#22572033C211yesmaximal, characteristic, complemented
10#22571912C211yesmaximal, characteristic, complemented
11D4×#11761616C211yesmaximal, characteristic, complemented
12#22571836C211yesmaximal, characteristic, complemented
13#22571805C211yesmaximal, characteristic, complemented
14#22571730C211yesmaximal, characteristic, complemented
15#22571715C211yesmaximal, characteristic, complemented
16#22571700C211yesmaximal, characteristic, complemented
17#22571700C211yesmaximal, characteristic, complemented
18#22571303C211yesmaximal, characteristic, complemented
19#22571281C211yesmaximal, characteristic, complemented
20#22571081C211yesmaximal, characteristic, complemented
21#22571061C211yesmaximal, characteristic, complemented
22#22571035C211yesmaximal, characteristic, complemented
23#22570997C211yesmaximal, characteristic, complemented
24#22570461C211yesmaximal, characteristic, complemented
25#22570393C211yesmaximal, characteristic, complemented
26#22569513C211yesmaximal, characteristic, complemented
27#22569486C211yesmaximal, characteristic, complemented
28#22569436C211yesmaximal, characteristic, complemented
29C2×#16863547C211yesmaximal, characteristic, complemented
30#22569257C211yesmaximal, characteristic, complemented
31C67×#3484C211yesmaximal, characteristic, complemented
32C2×#14524073C2211yescharacteristic, complemented
33C2×#14524069C2211yescharacteristic, complemented
34C2×#14524069C2211yescharacteristic, complemented
35C2×#14524069C2211yescharacteristic, complemented
36C2×#14524063C2211yescharacteristic, complemented
37C22×#11761616C2211yescharacteristic, complemented
38C22×#11761616C2211yescharacteristic, complemented
39C22×#11761616C2211yescharacteristic, complemented
40#16864147—21no—
41#16864141—21no—
42#16864116C2211yescharacteristic, complemented
43#16864103C2211yescharacteristic, complemented
44#16864100—21no—
45#16864092C2211yescharacteristic, complemented
46#16864089—21no—
47#16864086C2211yescharacteristic, complemented
48D4×Dic134C2211yescharacteristic, complemented
49#16864055C2211yescharacteristic, complemented
50#16864055C2211yescharacteristic, complemented
51#16864051C2211yescharacteristic, complemented
52#16864017C2211yescharacteristic, complemented
53#16864014—21no—
54#16864008C2211yescharacteristic, complemented
55#16863989—21no—
56#16863981—21no—
57#16863981—21no—
58#16863974C2211yescharacteristic, complemented
59#16863967C2211yescharacteristic, complemented
60#16863907C2211yescharacteristic, complemented
61C2×#14524022C2211yescharacteristic, complemented
62#16863791C2211yescharacteristic, complemented
63#16863783C2211yescharacteristic, complemented
64#16863778C2211yescharacteristic, complemented
65#16863768C2211yescharacteristic, complemented
66#16863760C2211yescharacteristic, complemented
67#16863755C2211yescharacteristic, complemented
68#16863750C2211yescharacteristic, complemented
69#16863742C2211yescharacteristic, complemented
70#16863737C2211yescharacteristic, complemented
71#16863737C2211yescharacteristic, complemented
72#16863737C2211yescharacteristic, complemented
73#16863734C2211yescharacteristic, complemented
74#16863729C2211yescharacteristic, complemented
75#16863720C2211yescharacteristic, complemented
76#16863717C2211yescharacteristic, complemented
77#16863717C2211yescharacteristic, complemented
78#16863717C2211yescharacteristic, complemented
79#16863712C2211yescharacteristic, complemented
80#16863712C2211yescharacteristic, complemented
81#16863707C2211yescharacteristic, complemented
82#16863696C2211yescharacteristic, complemented
83#16863696C2211yescharacteristic, complemented
84#16863686C2211yescharacteristic, complemented
85#16863676C2211yescharacteristic, complemented
86#16863652C2211yescharacteristic, complemented
87#16863652C2211yescharacteristic, complemented
88#16863647C2211yescharacteristic, complemented
89#16863640C2211yescharacteristic, complemented
90#16863640C2211yescharacteristic, complemented
91#16863640C2211yescharacteristic, complemented
92#16863640C2211yescharacteristic, complemented
93#16863640C2211yescharacteristic, complemented
94#16863635C2211yescharacteristic, complemented
95#16863630C2211yescharacteristic, complemented
96#16863630C2211yescharacteristic, complemented
97#16863627C2211yescharacteristic, complemented
98#16863623C2211yescharacteristic, complemented
99#16863623C2211yescharacteristic, complemented
100#16863623C2211yescharacteristic, complemented
101#16863623C2211yescharacteristic, complemented
102#16863615C2211yescharacteristic, complemented
103#16863615C2211yescharacteristic, complemented
104#16863615C2211yescharacteristic, complemented
105#16863611C2211yescharacteristic, complemented
106#16863611C2211yescharacteristic, complemented
107#16863608C2211yescharacteristic, complemented
108#16863601C2211yescharacteristic, complemented
109#16863601C2211yescharacteristic, complemented
110#16863593C2211yescharacteristic, complemented
111#16863593C2211yescharacteristic, complemented
112#16863593C2211yescharacteristic, complemented
113#16863588C2211yescharacteristic, complemented
114#16863558C2211yescharacteristic, complemented
115#16863558C2211yescharacteristic, complemented
116#16863558C2211yescharacteristic, complemented
117#16863558C2211yescharacteristic, complemented
118#16863558C2211yescharacteristic, complemented
119#16863558C2211yescharacteristic, complemented
120#16863556C2211yescharacteristic, complemented
121#16863551C2211yescharacteristic, complemented
122#16863547C2211yescharacteristic
123#16863547C2211yescharacteristic
124#16863547C2211yescharacteristic
125#16863547C2211yescharacteristic, complemented
126#16863547C2211yescharacteristic, complemented
127#16863547C2211yescharacteristic, complemented
128#16863547C2211yescharacteristic, complemented
129#16863547C2211yescharacteristic, complemented
130#16863547C2211yescharacteristic, complemented
131#16863547C2211yescharacteristic, complemented
132#16863547C2211yescharacteristic, complemented
133#16863547C2211yescharacteristic, complemented
134#16863547C2211yescharacteristic, complemented
135#16863547C2211yescharacteristic, complemented
136#16863547C2211yescharacteristic, complemented
137#16863541C2211yescharacteristic, complemented
138#16863541C2211yescharacteristic, complemented
139#16863539C2211yescharacteristic, complemented
140#16863539C2211yescharacteristic, complemented
141#16863539C2211yescharacteristic, complemented
142#16863534C2211yescharacteristic, complemented
143#16863534C2211yescharacteristic, complemented
144#16863534C2211yescharacteristic, complemented
145#16863530C2211yescharacteristic
146#16863530C2211yescharacteristic, complemented
147#16863530C2211yescharacteristic, complemented
148#16863530C2211yescharacteristic, complemented
149#16863530C2211yescharacteristic, complemented
150#16863506C2211yescharacteristic, complemented
151#16863496C2211yescharacteristic, complemented
152#16863496C2211yescharacteristic, complemented
153#16863496C2211yescharacteristic, complemented
154C4×#11761616C2211yescharacteristic, complemented
155C4×#11761616C2211yescharacteristic, complemented
156C4×#11761616C2211yescharacteristic, complemented
157C4×#11761613C2211yescharacteristic, complemented
158#16863474C2211yescharacteristic, complemented
159#16863474C2211yescharacteristic, complemented
160#16863468C2211yescharacteristic, complemented
161#16863468C2211yescharacteristic, complemented
162#16863468C2211yescharacteristic, complemented
163#16863468C2211yescharacteristic, complemented
164D4×C67⋊C8C2211yescharacteristic, complemented
165D4×C67⋊C8C2211yescharacteristic, complemented
166#16863457C2211yescharacteristic, complemented
167#16863457C2211yescharacteristic, complemented
168#16863401C2211yescharacteristic, complemented
169#16863401C2211yescharacteristic, complemented
170#16863401C2211yescharacteristic, complemented
171#16863397C2211yescharacteristic, complemented
172#16863392C2211yescharacteristic, complemented
173C2×#14523964C2211yescharacteristic, complemented
174C2×#14523964C2211yescharacteristic, complemented
175C2×#14523964C2211yescharacteristic, complemented
176#16863363C2211yescharacteristic, complemented
177#16863363C2211yescharacteristic, complemented
178#16863360C2211yescharacteristic, complemented
179C2×C22⋊(C67⋊C8)C2211yescharacteristic, complemented
180C2×H(5,𝔽2)×C67C2211yescharacteristic
181C23×D4×C67C2211yescharacteristic
182#546×C67—21no—
183#546×C67—21no—
184#546×C67C2211yescharacteristic
185#546×C67C2211yescharacteristic
186#546×C67C2211yescharacteristic
187#546×C67C2211yescharacteristic
188D42×C67—21no—
189D42×C67—21no—
190D42×C67C2211yescharacteristic
191D42×C67C2211yescharacteristic
192D42×C67C2211yescharacteristic
193D42×C67C2211yescharacteristic
194#535×C67C2211yescharacteristic
195#535×C67C2211yescharacteristic
196#534×C67—21no—
197#534×C67—21no—
198#525×C67C2211yescharacteristic
199#525×C67C2211yescharacteristic
200C2×#120×C67—21no—
201C2×#120×C67—21no—
202#518×C67C2211yescharacteristic
203C2×#11761628C2311yescharacteristic
204C2×#11761628C2311yescharacteristic, complemented
205C22×Dic134C2311yescharacteristic
206C22×Dic134C2311yescharacteristic, complemented
207#14524073—42no—
208#14524069—42no—
209#14524069—42no—
210#14524069—42no—
211#14524063—42no—
212C2×#11761618C2311yescharacteristic, complemented
213C2×#11761618C2311yescharacteristic, complemented
214C2×#11761618C2311yescharacteristic, complemented
215C2×#11761616—42no—
216C2×#11761616—42no—
217C2×#11761616—42no—
218C2×#11761616C2311yescharacteristic
219C2×#11761616C2311yescharacteristic
220C2×#11761616C2311yescharacteristic
221C2×#11761616C2311yescharacteristic
222C2×#11761616C2311yescharacteristic
223C2×#11761616C2311yescharacteristic
224C2×#11761616C2311yescharacteristic
225C2×#11761616C2311yescharacteristic
226C2×#11761616C2311yescharacteristic
227C2×#11761616C2311yescharacteristic
228C2×#11761616C2311yescharacteristic
229C2×#11761616C2311yescharacteristic
230C2×#11761616C2311yescharacteristic, complemented
231C2×#11761616C2311yescharacteristic, complemented
232C2×#11761616C2311yescharacteristic, complemented
233C2×#11761615C2311yescharacteristic, complemented
234C2×#11761613C2311yescharacteristic
235C2×#11761613C2311yescharacteristic
236C2×#11761613C2311yescharacteristic
237C2×#11761613C2311yescharacteristic
238C2×#11761613C2311yescharacteristic, complemented
239C2×#11761612C2311yescharacteristic
240C2×#11761612C2311yescharacteristic
241C2×#11761612C2311yescharacteristic, complemented
242C2×#11761612C2311yescharacteristic, complemented
243C22×C67⋊C8C2311yescharacteristic
244C22×C67⋊C8C2311yescharacteristic
245C22×C67⋊C8C2311yescharacteristic, complemented
246C22×C67⋊C8C2311yescharacteristic, complemented
247#14524043C2311yescharacteristic, complemented
248#14524043C2311yescharacteristic, complemented
249#14524042—21no—
250#14524041—21no—
251#14524038—21no—
252#14524038—21no—
253#14524036—21no—
254#14524036—21no—
255#14524036—21no—
256#14524036—21no—
257#14524036—21no—
258#14524035C2311yescharacteristic, complemented
259#14524034—21no—
260#14524033—21no—
261#14524033—21no—
262#14524033—21no—
263#14524031C2311yescharacteristic, complemented
264#14524030—21no—
265#14524030—21no—
266#14524029—21no—
267#14524029—21no—
268#14524029—21no—
269#14524026—21no—
270#14524025—21no—
271#14524025—21no—
272#14524025—21no—
273#14524025—21no—
274#14524024—21no—
275#14524024—21no—
276#14524024—21no—
277#14524022—21no—
278#14524022—21no—
279#14524022C2311yescharacteristic
280#14524022C2311yescharacteristic
281#14524022C2311yescharacteristic
282#14524022C2311yescharacteristic
283#14524022C2311yescharacteristic
284#14524022C2311yescharacteristic
285#14524022C2311yescharacteristic, complemented
286#14524022C2311yescharacteristic, complemented
287#14524022C2311yescharacteristic, complemented
288#14524021—21no—
289#14524021—21no—
290#14524021—21no—
291#14524020—21no—
292#14524020—21no—
293#14524020—21no—
294#14524020—21no—
295#14524019—21no—
296#14524017C2311yescharacteristic
297#14524017C2311yescharacteristic
298#14524017C2311yescharacteristic, complemented
299#14524015—21no—
300#14524015—21no—
301#14524015—21no—
302#14524015—21no—
303#14524015—21no—
304#14524014—21no—
305#14524014—21no—
306#14524012—21no—
307C4×Dic134C2311yescharacteristic, complemented
308C4×Dic134C2311yescharacteristic, complemented
309C4×Dic134C2311yescharacteristic, complemented
310#14524008—21no—
311C4×D268C2311yescharacteristic, complemented
312D4×Dic67—21no—
313D4×Dic67—21no—
314C4×C22⋊D67—21no—
315C4×C22⋊D67—21no—
316(C22⋊D67)⋊C4—21no—
317(C22⋊D67)⋊C4—21no—
318(C22⋊D67)⋊C4—21no—
319#14524002C2311yescharacteristic
320#14524002C2311yescharacteristic, complemented
321#14523999—21no—
322C2×C4⋊Dic67C2311yescharacteristic
323C2×C4⋊Dic67C2311yescharacteristic, complemented
324C2×Dic67⋊C4—21no—
325C4⋊C4×D67—21no—
326C2×C22⋊Dic67—21no—
327#14523976C2311yescharacteristic, complemented
328#14523976C2311yescharacteristic, complemented
329#14523976C2311yescharacteristic, complemented
330#14523976C2311yescharacteristic, complemented
331#14523974C2311yescharacteristic, complemented
332#14523974C2311yescharacteristic, complemented
333#14523974C2311yescharacteristic, complemented
334#14523974C2311yescharacteristic, complemented
335C4⋊(C67⋊C8)C2311yescharacteristic, complemented
336C4⋊(C67⋊C8)C2311yescharacteristic, complemented
337C4⋊(C67⋊C8)C2311yescharacteristic, complemented
338C4⋊(C67⋊C8)C2311yescharacteristic, complemented
339#14523967C2311yescharacteristic, complemented
340#14523967C2311yescharacteristic, complemented
341#14523967C2311yescharacteristic, complemented
342#14523967C2311yescharacteristic, complemented
343#14523966C2311yescharacteristic, complemented
344#14523966C2311yescharacteristic, complemented
345#14523966C2311yescharacteristic, complemented
346#14523966C2311yescharacteristic, complemented
347#14523966C2311yescharacteristic, complemented
348#14523966C2311yescharacteristic, complemented
349#14523964C2311yescharacteristic
350#14523964C2311yescharacteristic
351#14523964C2311yescharacteristic
352#14523964C2311yescharacteristic
353#14523964C2311yescharacteristic
354#14523964C2311yescharacteristic
355#14523964C2311yescharacteristic
356#14523964C2311yescharacteristic
357#14523964C2311yescharacteristic
358#14523964C2311yescharacteristic
359#14523964C2311yescharacteristic
360#14523964C2311yescharacteristic
361#14523964C2311yescharacteristic
362#14523964C2311yescharacteristic
363#14523964C2311yescharacteristic
364#14523964C2311yescharacteristic
365#14523964C2311yescharacteristic, complemented
366#14523964C2311yescharacteristic, complemented
367#14523964C2311yescharacteristic, complemented
368#14523964C2311yescharacteristic, complemented
369#14523963C2311yescharacteristic, complemented
370#14523963C2311yescharacteristic, complemented
371C22⋊(C67⋊C8)C2311yescharacteristic
372C22⋊(C67⋊C8)C2311yescharacteristic
373C22⋊(C67⋊C8)C2311yescharacteristic
374C22⋊(C67⋊C8)C2311yescharacteristic
375C22⋊(C67⋊C8)C2311yescharacteristic
376C22⋊(C67⋊C8)C2311yescharacteristic
377C22⋊(C67⋊C8)C2311yescharacteristic
378C22⋊(C67⋊C8)C2311yescharacteristic
379C22⋊(C67⋊C8)C2311yescharacteristic, complemented
380C22⋊(C67⋊C8)C2311yescharacteristic, complemented
381C22⋊(C67⋊C8)C2311yescharacteristic, complemented
382C22⋊(C67⋊C8)C2311yescharacteristic, complemented
383#14523954C2311yescharacteristic, complemented
384#14523954C2311yescharacteristic, complemented
385C4×C67⋊C8C2311yescharacteristic, complemented
386C4×C67⋊C8C2311yescharacteristic, complemented
387C25×C67—21no—
388H(5,𝔽2)×C67—42no—
389H(5,𝔽2)×C67—42no—
390C2×#41×C67—21no—
391C2×#41×C67C2311yescharacteristic
392C2×#41×C67C2311yescharacteristic
393C2×#41×C67C2311yescharacteristic
394C2×#41×C67C2311yescharacteristic
395C22×D4×C67—21no—
396C22×D4×C67—21no—
397C22×D4×C67—21no—
398C22×D4×C67—21no—
399C22×D4×C67—21no—
400C22×D4×C67—21no—
401C22×D4×C67—21no—
402C22×D4×C67—21no—
403C22×D4×C67—21no—
404C22×D4×C67—21no—
405C22×D4×C67—42no—
406C22×D4×C67—42no—
407C22×D4×C67C2311yescharacteristic
408C22×D4×C67C2311yescharacteristic
409C22×D4×C67C2311yescharacteristic
410C22×D4×C67C2311yescharacteristic
411C22×D4×C67C2311yescharacteristic
412C22×D4×C67C2311yescharacteristic
413C22×D4×C67C2311yescharacteristic
414C22×D4×C67C2311yescharacteristic
415C23×C4×C67C2311yescharacteristic
416#127×C67—21no—
417#127×C67C2311yescharacteristic
418#127×C67C2311yescharacteristic
419#124×C67—21no—
420#124×C67C2311yescharacteristic
421#124×C67C2311yescharacteristic
422#123×C67—21no—
423#123×C67—21no—
424#123×C67—21no—
425#123×C67—21no—
426#123×C67—21no—
427#123×C67D411yescharacteristic
428#123×C67D411yescharacteristic
429C22⋊Q8×C67D411yescharacteristic
430C22⋊Q8×C67D411yescharacteristic
431C22⋊Q8×C67C2311yescharacteristic
432C22⋊Q8×C67C2311yescharacteristic
433#121×C67—21no—
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×C67D411yescharacteristic
444#121×C67D411yescharacteristic
445#121×C67C2311yescharacteristic
446#121×C67C2311yescharacteristic
447#121×C67C2311yescharacteristic
448#121×C67C2311yescharacteristic
449#121×C67C2311yescharacteristic
450#121×C67C2311yescharacteristic
451#120×C67—21no—
452#120×C67—21no—
453#120×C67—21no—
454#120×C67—21no—
455#120×C67—21no—
456#120×C67—21no—
457#120×C67—21no—
458#120×C67—21no—
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×C67—21no—
467#120×C67—21no—
468#120×C67D411yescharacteristic
469#120×C67D411yescharacteristic
470C4×D4×C67—21no—
471C4×D4×C67—21no—
472C4×D4×C67—21no—
473C4×D4×C67—21no—
474C4×D4×C67C2311yescharacteristic
475C4×D4×C67C2311yescharacteristic
476C4×D4×C67C2311yescharacteristic
477C4×D4×C67C2311yescharacteristic
478C4×D4×C67C2311yescharacteristic
479C4×D4×C67C2311yescharacteristic
480C4×D4×C67C2311yescharacteristic
481C4×D4×C67C2311yescharacteristic
482#117×C67C2311yescharacteristic
483#117×C67C2311yescharacteristic
484C2×C22⋊C4×C67—21no—
485C2×C22⋊C4×C67—21no—
486C2×C22⋊C4×C67—21no—
487C2×C22⋊C4×C67—21no—
488C2×C22⋊C4×C67—21no—
489C2×C22⋊C4×C67—21no—
490#11761628—41no—
491#11761628—41no—
492#11761628—41no—
493#11761628—41no—
494C2×Dic134—21no—
495C2×Dic134—21no—
496C2×Dic134—21no—
497C2×Dic134—41no—
498C2×Dic134—41no—
499C2×Dic134—41no—
500C2×Dic134—41no—
501C2×Dic134C2411yescharacteristic
502C2×Dic134C2411yescharacteristic
503C2×Dic134C2411yescharacteristic
504C2×D268C2411yescharacteristic
505C2×C22⋊D67—21no—
506C2×C22⋊D67—21no—
507C2×C22⋊D67—21no—
508C2×C22⋊D67—21no—
509C2×C22⋊D67—21no—
510C22×Dic67—21no—
511C22×Dic67—21no—
512C22×Dic67—21no—
513C22×Dic67—21no—
514C2×C4×D67—21no—
515C2×C4×D67—21no—
516C2×C4×D67—21no—
517#11761618—41no—
518#11761618—41no—
519#11761618—41no—
520#11761616—22no—
521#11761616—22no—
522#11761616—22no—
523#11761616—22no—
524#11761616—22no—
525#11761616—22no—
526#11761616—41no—
527#11761616—41no—
528#11761616—41no—
529#11761616—41no—
530#11761616—41no—
531#11761616—41no—
532#11761616—41no—
533#11761616—41no—
534#11761616—41no—
535#11761615—41no—
536#11761613—22no—
537#11761613—22no—
538#11761613—41no—
539#11761613—41no—
540#11761613—41no—
541#11761612—41no—
542#11761612—41no—
543#11761612—41no—
544#11761612—41no—
545C2×C67⋊C8—41no—
546C2×C67⋊C8—41no—
547C2×C67⋊C8—41no—
548C2×C67⋊C8—41no—
549C2×C67⋊C8C2411yescharacteristic
550C2×C67⋊C8C2411yescharacteristic
551C2×C67⋊C8C2411yescharacteristic
552C2×C67⋊C8C2411yescharacteristic
553C2×C67⋊C8C2411yescharacteristic
554C2×C67⋊C8C2411yescharacteristic
555C2×C67⋊C8C2411yescharacteristic
556C2×C67⋊C8C2411yescharacteristic
557C4⋊Dic67—21no—
558C4⋊Dic67—21no—
559C4⋊Dic67—21no—
560C4⋊Dic67—21no—
561C4⋊Dic67—21no—
562C4⋊Dic67C2411yescharacteristic
563C4⋊Dic67C2411yescharacteristic
564C4⋊Dic67C2411yescharacteristic
565C4⋊Dic67C2411yescharacteristic
566Dic67⋊C4—21no—
567Dic67⋊C4—21no—
568Dic67⋊C4—21no—
569Dic67⋊C4—21no—
570Dic67⋊C4—21no—
571Dic67⋊C4—21no—
572Dic67⋊C4—21no—
573Dic67⋊C4—21no—
574Dic67⋊C4—21no—
575Dic67⋊C4—21no—
576Dic67⋊C4—21no—
577Dic67⋊C4—21no—
578Dic67⋊C4—21no—
579Dic67⋊C4—21no—
580C22⋊Dic67—21no—
581C22⋊Dic67—21no—
582C22⋊Dic67—21no—
583C22⋊Dic67—21no—
584C22⋊Dic67—21no—
585C22⋊Dic67—21no—
586C22⋊Dic67—21no—
587C22⋊Dic67—21no—
588C22⋊Dic67—21no—
589C22⋊Dic67—21no—
590C22⋊Dic67—21no—
591(C2×D67)⋊C4—21no—
592(C2×D67)⋊C4—21no—
593(C2×D67)⋊C4—21no—
594(C2×D67)⋊C4—21no—
595(C2×D67)⋊C4—21no—
596(C2×D67)⋊C4—21no—
597C4×Dic67—21no—
598C4×Dic67—21no—
599C4×Dic67—21no—
600C4×Dic67—21no—
601C4×Dic67—21no—
602C24×C67—21no—
603C24×C67—21no—
604C24×C67—21no—
605C24×C67—21no—
606C24×C67—21no—
607C24×C67—21no—
608C24×C67—21no—
609C24×C67—21no—
610C24×C67—44no—
611C24×C67—82no—
612C24×C67—82no—
613C24×C67C2×D411yescharacteristic
614#41×C67—22no—
615#41×C67—22no—
616#41×C67—41no—
617#41×C67—41no—
618#41×C67—41no—
619#41×C67—41no—
620#41×C67—41no—
621#41×C67—41no—
622#41×C67—44no—
623C2×Q8×C67C2×D411yescharacteristic
624C2×Q8×C67C2411yescharacteristic
625C2×D4×C67—22no—
626C2×D4×C67—22no—
627C2×D4×C67—22no—
628C2×D4×C67—22no—
629C2×D4×C67—22no—
630C2×D4×C67—22no—
631C2×D4×C67—22no—
632C2×D4×C67—22no—
633C2×D4×C67—21no—
634C2×D4×C67—21no—
635C2×D4×C67—21no—
636C2×D4×C67—21no—
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—21no—
653C2×D4×C67—21no—
654C2×D4×C67—41no—
655C2×D4×C67—41no—
656C2×D4×C67—41no—
657C2×D4×C67—41no—
658C2×D4×C67—41no—
659C2×D4×C67—41no—
660C2×D4×C67—41no—
661C2×D4×C67—41no—
662C2×D4×C67—44no—
663C2×D4×C67—44no—
664C2×D4×C67—44no—
665C2×D4×C67—44no—
666C2×D4×C67—44no—
667C2×D4×C67—44no—
668C2×D4×C67—82no—
669C2×D4×C67—82no—
670C2×D4×C67—82no—
671C2×D4×C67—82no—
672C2×D4×C67C2×D411yescharacteristic
673C2×D4×C67C2×D411yescharacteristic
674C2×D4×C67C2×D411yescharacteristic
675C2×D4×C67C2×D411yescharacteristic
676C2×D4×C67C2×D411yescharacteristic
677C2×D4×C67C2×D411yescharacteristic
678C2×D4×C67C2×D411yescharacteristic
679C2×D4×C67C2411yescharacteristic
680C2×D4×C67C2411yescharacteristic
681C2×D4×C67C2411yescharacteristic
682C2×D4×C67C2411yescharacteristic
683C2×D4×C67C2411yescharacteristic
684C22×C4×C67—21no—
685C22×C4×C67—21no—
686C22×C4×C67—21no—
687C22×C4×C67—21no—
688C22×C4×C67—21no—
689C22×C4×C67—21no—
690C22×C4×C67—21no—
691C22×C4×C67—41no—
692C22×C4×C67—41no—
693C22×C4×C67C2×D411yescharacteristic
694C22×C4×C67C2×D411yescharacteristic
695C22×C4×C67C2×D411yescharacteristic
696C22×C4×C67C2411yescharacteristic
697C22×C4×C67C2411yescharacteristic
698C22×C4×C67C2411yescharacteristic
699C22×C4×C67C2411yescharacteristic
700C22×C4×C67C2411yescharacteristic
701C4⋊C4×C67—21no—
702C4⋊C4×C67—21no—
703C4⋊C4×C67C2×D411yescharacteristic
704C4⋊C4×C67C2×D411yescharacteristic
705C4⋊C4×C67C2×D411yescharacteristic
706C4⋊C4×C67C2×D411yescharacteristic
707C4⋊C4×C67C2×D411yescharacteristic
708C4⋊C4×C67C2×D411yescharacteristic
709C4⋊C4×C67C2411yescharacteristic
710C4⋊C4×C67C2411yescharacteristic
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×C67—21no—
724C22⋊C4×C67—21no—
725C22⋊C4×C67—21no—
726C22⋊C4×C67—21no—
727C22⋊C4×C67—21no—
728C22⋊C4×C67C2×D411yescharacteristic
729C22⋊C4×C67C2×D411yescharacteristic
730C22⋊C4×C67C2×D411yescharacteristic
731C22⋊C4×C67C2×D411yescharacteristic
732C22⋊C4×C67C2×D411yescharacteristic
733C22⋊C4×C67C2×D411yescharacteristic
734C22⋊C4×C67C2×D411yescharacteristic
735C22⋊C4×C67C2×D411yescharacteristic
736C22⋊C4×C67C2×D411yescharacteristic
737C22⋊C4×C67C2×D411yescharacteristic
738C42×C67—21no—
739C42×C67C2411yescharacteristic
740C42×C67C2411yescharacteristic
741C23×C67—24no—
742C23×C67—22no—
743C23×C67—21no—
744C23×C67—21no—
745C23×C67—21no—
746C23×C67—21no—
747C23×C67—21no—
748C23×C67—41no—
749C23×C67—41no—
750C23×C67—42no—
751C23×C67—42no—
752C23×C67—42no—
753C23×C67—42no—
754C23×C67—42no—
755C23×C67—42no—
756C23×C67—42no—
757C23×C67—42no—
758C23×C67—42no—
759C23×C67—42no—
760C23×C67—42no—
761C23×C67—81no—
762C23×C67—81no—
763C23×C67—81no—
764C23×C67—81no—
765C23×C67—81no—
766C23×C67—81no—
767C23×C67—81no—
768C23×C67—81no—
769C23×C67—81no—
770C23×C67—81no—
771C23×C67—81no—
772C23×C67—81no—
773C23×C67—816no—
774C23×C67C22×D411yescharacteristic
775C23×C67C22×D411yescharacteristic
776C23×C67C22×D411yescharacteristic
777C23×C67C22×D411yescharacteristic
778C23×C67C22×D411yescharacteristic
779C22×D67—21no—
780Q8×C67—21no—
781Q8×C67—21no—
782Q8×C67—41no—
783D4×C67—24no—
784D4×C67—22no—
785D4×C67—22no—
786D4×C67—21no—
787D4×C67—21no—
788D4×C67—21no—
789D4×C67—21no—
790D4×C67—21no—
791D4×C67—21no—
792D4×C67—21no—
793D4×C67—21no—
794D4×C67—41no—
795D4×C67—41no—
796D4×C67—41no—
797D4×C67—41no—
798D4×C67—41no—
799D4×C67—42no—
800D4×C67—42no—
801D4×C67—42no—
802D4×C67—42no—
803D4×C67—42no—
804D4×C67—42no—
805D4×C67—42no—
806D4×C67—42no—
807D4×C67—42no—
808D4×C67—42no—
809D4×C67—42no—
810D4×C67—42no—
811D4×C67—81no—
812D4×C67—81no—
813D4×C67—81no—
814D4×C67—81no—
815D4×C67—81no—
816D4×C67—81no—
817D4×C67—81no—
818D4×C67—81no—
819D4×C67H(5,𝔽2)12yes—
820D4×C67H(5,𝔽2)12yes—
821C2×C4×C67—21no—
822C2×C4×C67—21no—
823C2×C4×C67—21no—
824C2×C4×C67—21no—
825C2×C4×C67—21no—
826C2×C4×C67—21no—
827C2×C4×C67—21no—
828C2×C4×C67—21no—
829C2×C4×C67—21no—
830C2×C4×C67—21no—
831C2×C4×C67—21no—
832C2×C4×C67—21no—
833C2×C4×C67—21no—
834C2×C4×C67—41no—
835C2×C4×C67—41no—
836C2×C4×C67—41no—
837C2×C4×C67—42no—
838C2×C4×C67—42no—
839C2×C4×C67—42no—
840C2×C4×C67—81no—
841C2×C4×C67—81no—
842C2×C4×C67—81no—
843C2×C4×C67—81no—
844C2×C4×C67C22×D411yescharacteristic
845C2×C4×C67C22×D411yescharacteristic
846C2×C4×C67C22×D411yescharacteristic
847C2×C4×C67C22×D411yescharacteristic
848C2×C4×C67C22×D411yescharacteristic
849C2×C4×C67C22×D411yescharacteristic
850C2×C4×C67C22×D411yescharacteristic
851C2×C4×C67C22×D411yescharacteristic
852C2×C4×C67C22×D411yescharacteristic
853C2×C4×C67C2511yescharacteristic
854C22⋊D67—42no—
855C22⋊D67—81no—
856C22⋊D67—81no—
857C22⋊D67—81no—
858C22⋊D67—81no—
859C2×Dic67—21no—
860C2×Dic67—21no—
861C2×Dic67—21no—
862C2×Dic67—21no—
863C2×Dic67—21no—
864C2×Dic67—21no—
865C2×Dic67—21no—
866C2×Dic67—81no—
867C2×Dic67—81no—
868C2×Dic67—81no—
869C2×Dic67—81no—
870D268—21no—
871D268—21no—
872C4×D67—81no—
873C4×D67—81no—
874C4×D67—81no—
875Dic134—21no—
876Dic134—21no—
877Dic134—21no—
878Dic134—21no—
879Dic134—21no—
880Dic134—21no—
881Dic134—81no—
882Dic134—81no—
883Dic134—81no—
884C67⋊C8—21no—
885C67⋊C8—21no—
886C67⋊C8—21no—
887C67⋊C8—21no—
888C67⋊C8—21no—
889C67⋊C8—21no—
890C67⋊C8—21no—
891C67⋊C8—21no—
892C22×C67—21no—
893C22×C67—21no—
894C22×C67—21no—
895C22×C67—21no—
896C22×C67—21no—
897C22×C67—21no—
898C22×C67—21no—
899C22×C67—21no—
900C22×C67—21no—
901C22×C67—21no—
902C22×C67—22no—
903C22×C67—22no—
904C22×C67—21no—
905C22×C67—21no—
906C22×C67—21no—
907C22×C67—21no—
908C22×C67—44no—
909C22×C67—41no—
910C22×C67—41no—
911C22×C67—41no—
912C22×C67—41no—
913C22×C67—41no—
914C22×C67—41no—
915C22×C67—41no—
916C22×C67—41no—
917C22×C67—41no—
918C22×C67—41no—
919C22×C67—41no—
920C22×C67—41no—
921C22×C67—41no—
922C22×C67—84no—
923C22×C67—84no—
924C22×C67—84no—
925C22×C67—84no—
926C22×C67—84no—
927C22×C67—84no—
928C22×C67—162no—
929C22×C67—162no—
930C22×C67#57712yes—
931C22×C67C23×D411yescharacteristic
932C2×D67—41no—
933C2×D67—41no—
934C2×D67—41no—
935C4×C67—21no—
936C4×C67—21no—
937C4×C67—21no—
938C4×C67—21no—
939C4×C67—21no—
940C4×C67—21no—
941C4×C67—21no—
942C4×C67—21no—
943C4×C67—21no—
944C4×C67—41no—
945C4×C67—41no—
946C4×C67—41no—
947C4×C67C2×H(5,𝔽2)11yescharacteristic
948C4×C67C2×H(5,𝔽2)11yescharacteristic
949Dic67—41no—
950Dic67—41no—
951Dic67—41no—
952Dic67—41no—
953Dic67—41no—
954Dic67—41no—
955Dic67—41no—
956#61610—671nomaximal, Sylow
957C2×C67—22no—
958C2×C67—41no—
959C2×C67—41no—
960C2×C67—41no—
961C2×C67—41no—
962C2×C67—42no—
963C2×C67—42no—
964C2×C67—81no—
965C2×C67—81no—
966C2×C67—81no—
967C2×C67#348411yescharacteristic
968C2×C67C2×#57711yescharacteristic
969C2×C67#358511yescharacteristic
970D67—81no—
971#3541—671no—
972#3484D6711yescharacteristic, complemented
973#3324—671no—
974#3323—671no—
975#3318—671no—
976#3314—671no—
977#3311—671no—
978#3310—671no—
979#3297—671no—
980#3295—671no—
981#3282—671no—
982D4×SD16—671no—
983#3275—671no—
984#3272—671no—
985#3267—671no—
986#3266—671no—
987#3265—671no—
988#3265—671no—
989#3224—671no—
990#3222—671no—
991#3200—671no—
992#3198—671no—
993#3196—671no—
994#3191—671no—
995#3123—671no—
996#3118—671no—
997#3012—671no—
998#3009—671no—
999#3003—671no—
1000C2×#450—671no—
1001#2976—671no—
1002C67#6161011yescharacteristic, complemented, Sylow
1003C2×H(5,𝔽2)C2×D6711yescharacteristic
1004C23×D4C2×D6711yescharacteristic
1005C2×#137—671no—
1006C2×AGL(1,ℤ/8)—671no—
1007C2×AGL(1,ℤ/8)—671no—
1008C2×AGL(1,ℤ/8)—671no—
1009C2×#135—671no—
1010C22×SD16—671no—
1011C22×SD16—671no—
1012C22×SD16—671no—
1013#563—1341no—
1014#562—1341no—
1015#556—671no—
1016#554—671no—
1017#554—1341no—
1018#553—671no—
1019#553—1341no—
1020#552—671no—
1021D4×Q8—671no—
1022#548—671no—
1023#548—671no—
1024#547—671no—
1025#546—21no—
1026#546—21no—
1027#546C2×D6711yescharacteristic
1028#546C2×D6711yescharacteristic
1029#546C2×D6711yescharacteristic
1030#546C2×D6711yescharacteristic
1031D42—21no—
1032D42—21no—
1033D42C2×D6711yescharacteristic
1034D42C2×D6711yescharacteristic
1035D42C2×D6711yescharacteristic
1036D42C2×D6711yescharacteristic
1037#542—671no—
1038#542—1341no—
1039#541—671no—
1040#539—1341no—
1041#538—1341no—
1042#538—1341no—
1043#537—671no—
1044#536—671no—
1045#535C2×D6711yescharacteristic
1046#535C2×D6711yescharacteristic
1047#534—21no—
1048#534—21no—
1049#525—671no—
1050#525C2×D6711yescharacteristic
1051#525C2×D6711yescharacteristic
1052C2×C22⋊Q8—671no—
1053C2×#120—21no—
1054C2×#120—21no—
1055#518C2×D6711yescharacteristic
1056#497—671no—
1057#496—671no—
1058#495—671no—
1059#492—671no—
1060#490—671no—
1061#489—671no—
1062#488—671no—
1063#486—671no—
1064#485—671no—
1065#485—671no—
1066#485—671no—
1067#485—671no—
1068#484—671no—
1069#482—671no—
1070#482—671no—
1071#482—671no—
1072#482—671no—
1073#481—671no—
1074#481—671no—
1075#480—671no—
1076#478—671no—
1077#478—671no—
1078#476—671no—
1079#474—671no—
1080#470—671no—
1081#470—671no—
1082#469—671no—
1083#468—671no—
1084#468—671no—
1085#468—671no—
1086#468—671no—
1087#468—671no—
1088#467—671no—
1089#466—671no—
1090#466—671no—
1091#465—671no—
1092#465—671no—
1093#465—671no—
1094#465—671no—
1095#465—671no—
1096#464—671no—
1097#464—671no—
1098#464—671no—
1099#463—671no—
1100#463—671no—
1101#463—671no—
1102#461—671no—
1103#461—671no—
1104#460—671no—
1105#460—671no—
1106#460—671no—
1107#459—671no—
1108#452—671no—
1109#452—671no—
1110#452—671no—
1111#452—671no—
1112#452—671no—
1113#452—671no—
1114#452—671no—
1115#451—671no—
1116#450—671no—
1117#450—671no—
1118#450—671no—
1119#450—671no—
1120#450—671no—
1121#450—671no—
1122#450—671no—
1123#450—671no—
1124#450—671no—
1125#450—671no—
1126#450—671no—
1127#450—671no—
1128#450—671no—
1129#450—671no—
1130#450—671no—
1131#449—671no—
1132#449—671no—
1133#449—671no—
1134#449—671no—
1135#449—671no—
1136#448—671no—
1137#448—671no—
1138#448—671no—
1139#447—671no—
1140#447—671no—
1141#447—671no—
1142#447—671no—
1143#447—671no—
1144#442—671no—
1145#440—671no—
1146#440—671no—
1147#440—671no—
1148C4×SD16—671no—
1149C4×SD16—671no—
1150C4×SD16—671no—
1151C4×D8—671no—
1152#436—671no—
1153#436—671no—
1154#435—671no—
1155#435—671no—
1156#435—671no—
1157#435—671no—
1158C8×D4—671no—
1159C8×D4—671no—
1160#433—671no—
1161#433—671no—
1162#418—671no—
1163#418—671no—
1164#418—671no—
1165#417—671no—
1166#416—671no—
1167C2×#102—671no—
1168C2×#102—671no—
1169C2×#102—671no—
1170#408—671no—
1171#408—671no—
1172#407—671no—
1173C2×C22⋊C8—671no—
1174C25—21no—
1175H(5,𝔽2)—42no—
1176H(5,𝔽2)—42no—
1177C2×#41—21no—
1178C2×#41—671no—
1179C2×#41—671no—
1180C2×#41C22×D6711yescharacteristic
1181C2×#41C22×D6711yescharacteristic
1182C2×#41C22×D6711yescharacteristic
1183C2×#41C22×D6711yescharacteristic
1184C22×Q8—671no—
1185C22×Q8—671no—
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4—21no—
1189C22×D4—21no—
1190C22×D4—21no—
1191C22×D4—21no—
1192C22×D4—21no—
1193C22×D4—21no—
1194C22×D4—21no—
1195C22×D4—21no—
1196C22×D4—42no—
1197C22×D4—42no—
1198C22×D4C22×D6711yescharacteristic
1199C22×D4C22×D6711yescharacteristic
1200C22×D4C22×D6711yescharacteristic
1201C22×D4C22×D6711yescharacteristic
1202C22×D4C22×D6711yescharacteristic
1203C22×D4C22×D6711yescharacteristic
1204C22×D4C22×D6711yescharacteristic
1205C22×D4C22×D6711yescharacteristic
1206C23×C4C22×D6711yescharacteristic
1207#137—2682no—
1208AGL(1,ℤ/8)—2682no—
1209AGL(1,ℤ/8)—2682no—
1210AGL(1,ℤ/8)—2682no—
1211#135—2682no—
1212C2×Q16—671no—
1213C2×Q16—671no—
1214C2×Q16—671no—
1215C2×SD16—2682no—
1216C2×SD16—2682no—
1217C2×SD16—2682no—
1218C2×SD16—671no—
1219C2×SD16—671no—
1220C2×SD16—671no—
1221C2×SD16—671no—
1222C2×SD16—671no—
1223C2×SD16—671no—
1224C2×SD16—671no—
1225C2×SD16—671no—
1226C2×SD16—671no—
1227C2×SD16—671no—
1228C2×SD16—671no—
1229C2×SD16—671no—
1230C2×SD16—671no—
1231C2×SD16—671no—
1232C2×SD16—671no—
1233C2×SD16—671no—
1234C2×D8—671no—
1235C2×D8—671no—
1236C2×D8—671no—
1237C2×D8—671no—
1238C2×D8—671no—
1239C2×M16—671no—
1240C2×M16—671no—
1241C2×M16—671no—
1242C2×M16—671no—
1243C22×C8—671no—
1244C22×C8—671no—
1245C22×C8—671no—
1246C22×C8—671no—
1247C4⋊Q8—671no—
1248C4⋊Q8—671no—
1249C4⋊Q8—1341no—
1250C4⋊Q8—1341no—
1251#127—21no—
1252#127C22×D6711yescharacteristic
1253#127C22×D6711yescharacteristic
1254#126—1341no—
1255#126—1341no—
1256#126—1341no—
1257#126—1341no—
1258#126—1341no—
1259#126—1341no—
1260#126—1341no—
1261#125—671no—
1262#125—1341no—
1263#125—1341no—
1264#125—1341no—
1265#125—1341no—
1266#124—21no—
1267#124—671no—
1268#124—1341no—
1269#124—1341no—
1270#124—1341no—
1271#124—1341no—
1272#124—1341no—
1273#124C22×D6711yescharacteristic
1274#124C22×D6711yescharacteristic
1275#123—21no—
1276#123—21no—
1277#123—21no—
1278#123—21no—
1279#123—21no—
1280#123—1341no—
1281#123—1341no—
1282#123—1341no—
1283#123—1341no—
1284#123—1341no—
1285#123—1341no—
1286#123—1341no—
1287#123—1341no—
1288#123C22⋊D6711yescharacteristic
1289#123C22⋊D6711yescharacteristic
1290C22⋊Q8—671no—
1291C22⋊Q8—671no—
1292C22⋊Q8—671no—
1293C22⋊Q8—671no—
1294C22⋊Q8—671no—
1295C22⋊Q8—671no—
1296C22⋊Q8—671no—
1297C22⋊Q8—671no—
1298C22⋊Q8—671no—
1299C22⋊Q8—1341no—
1300C22⋊Q8—1341no—
1301C22⋊Q8—1341no—
1302C22⋊Q8—1341no—
1303C22⋊Q8—1341no—
1304C22⋊Q8—1341no—
1305C22⋊Q8—1341no—
1306C22⋊Q8—1341no—
1307C22⋊Q8—1341no—
1308C22⋊Q8—1341no—
1309C22⋊Q8C22⋊D6711yescharacteristic
1310C22⋊Q8C22⋊D6711yescharacteristic
1311C22⋊Q8C22×D6711yescharacteristic
1312C22⋊Q8C22×D6711yescharacteristic
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—21no—
1317#121—21no—
1318#121—21no—
1319#121—21no—
1320#121—21no—
1321#121—21no—
1322#121—21no—
1323#121—671no—
1324#121—671no—
1325#121—671no—
1326#121—1341no—
1327#121—1341no—
1328#121—1341no—
1329#121—1341no—
1330#121—1341no—
1331#121—1341no—
1332#121—1341no—
1333#121C22⋊D6711yescharacteristic
1334#121C22⋊D6711yescharacteristic
1335#121C22×D6711yescharacteristic
1336#121C22×D6711yescharacteristic
1337#121C22×D6711yescharacteristic
1338#121C22×D6711yescharacteristic
1339#121C22×D6711yescharacteristic
1340#121C22×D6711yescharacteristic
1341#120—21no—
1342#120—21no—
1343#120—21no—
1344#120—21no—
1345#120—21no—
1346#120—21no—
1347#120—21no—
1348#120—21no—
1349#120—21no—
1350#120—21no—
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—21no—
1356#120—21no—
1357#120—21no—
1358#120—1341no—
1359#120C22⋊D6711yescharacteristic
1360#120C22⋊D6711yescharacteristic
1361C4×Q8—671no—
1362C4×Q8—671no—
1363C4×Q8—671no—
1364C4×Q8—1341no—
1365C4×D4—21no—
1366C4×D4—21no—
1367C4×D4—21no—
1368C4×D4—21no—
1369C4×D4—671no—
1370C4×D4—1341no—
1371C4×D4—1341no—
1372C4×D4—1341no—
1373C4×D4—1341no—
1374C4×D4—1341no—
1375C4×D4—1341no—
1376C4×D4—1341no—
1377C4×D4C22×D6711yescharacteristic
1378C4×D4C22×D6711yescharacteristic
1379C4×D4C22×D6711yescharacteristic
1380C4×D4C22×D6711yescharacteristic
1381C4×D4C22×D6711yescharacteristic
1382C4×D4C22×D6711yescharacteristic
1383C4×D4C22×D6711yescharacteristic
1384C4×D4C22×D6711yescharacteristic
1385#117—671no—
1386#117—671no—
1387#117—1341no—
1388#117C22×D6711yescharacteristic
1389#117C22×D6711yescharacteristic
1390C2×C4⋊C4—671no—
1391C2×C4⋊C4—671no—
1392C2×C4⋊C4—1341no—
1393C2×C4⋊C4—1341no—
1394C2×C22⋊C4—21no—
1395C2×C22⋊C4—21no—
1396C2×C22⋊C4—21no—
1397C2×C22⋊C4—21no—
1398C2×C22⋊C4—21no—
1399C2×C22⋊C4—21no—
1400C2×C22⋊C4—1341no—
1401#107—671no—
1402#107—671no—
1403#107—671no—
1404#107—671no—
1405#106—671no—
1406#106—671no—
1407#106—671no—
1408#106—671no—
1409C4⋊C8—671no—
1410C4⋊C8—671no—
1411C4⋊C8—671no—
1412C4⋊C8—671no—
1413#103—671no—
1414#103—671no—
1415#103—671no—
1416#103—671no—
1417#103—671no—
1418#103—671no—
1419#103—671no—
1420#103—671no—
1421#103—671no—
1422#103—671no—
1423#102—671no—
1424#102—671no—
1425#102—671no—
1426#102—671no—
1427#102—671no—
1428#102—671no—
1429#102—671no—
1430#102—671no—
1431#102—671no—
1432#102—671no—
1433#102—671no—
1434#102—671no—
1435#102—671no—
1436#102—671no—
1437#102—671no—
1438#102—671no—
1439#102—671no—
1440#102—671no—
1441#102—671no—
1442#102—671no—
1443#102—671no—
1444#102—671no—
1445C22⋊C8—671no—
1446C22⋊C8—671no—
1447C22⋊C8—671no—
1448C22⋊C8—671no—
1449C22⋊C8—671no—
1450C22⋊C8—671no—
1451C22⋊C8—671no—
1452C22⋊C8—671no—
1453C22⋊C8—671no—
1454C22⋊C8—671no—
1455C22⋊C8—671no—
1456C22⋊C8—671no—
1457#97—671no—
1458#97—671no—
1459C4×C8—671no—
1460C4×C8—671no—
1461C24—21no—
1462C24—21no—
1463C24—21no—
1464C24—21no—
1465C24—21no—
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—44no—
1470C24—82no—
1471C24—82no—
1472C24C2×C22⋊D6711yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—44no—
1482#41—2681no—
1483#41—2681no—
1484#41—2681no—
1485#41—2681no—
1486C2×Q8—2681no—
1487C2×Q8—2681no—
1488C2×Q8—2681no—
1489C2×Q8—2681no—
1490C2×Q8—671no—
1491C2×Q8—671no—
1492C2×Q8—671no—
1493C2×Q8—1341no—
1494C2×Q8—1341no—
1495C2×Q8—1341no—
1496C2×Q8C2×C22⋊D6711yescharacteristic
1497C2×Q8C23×D6711yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—41no—
1528C2×D4—41no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—44no—
1536C2×D4—44no—
1537C2×D4—44no—
1538C2×D4—44no—
1539C2×D4—44no—
1540C2×D4—44no—
1541C2×D4—82no—
1542C2×D4—82no—
1543C2×D4—82no—
1544C2×D4—82no—
1545C2×D4—671no—
1546C2×D4—1341no—
1547C2×D4—1341no—
1548C2×D4—1341no—
1549C2×D4—1341no—
1550C2×D4—1341no—
1551C2×D4C2×C22⋊D6711yescharacteristic
1552C2×D4C2×C22⋊D6711yescharacteristic
1553C2×D4C2×C22⋊D6711yescharacteristic
1554C2×D4C2×C22⋊D6711yescharacteristic
1555C2×D4C2×C22⋊D6711yescharacteristic
1556C2×D4C2×C22⋊D6711yescharacteristic
1557C2×D4C2×C22⋊D6711yescharacteristic
1558C2×D4C23×D6711yescharacteristic
1559C2×D4C23×D6711yescharacteristic
1560C2×D4C23×D6711yescharacteristic
1561C2×D4C23×D6711yescharacteristic
1562C2×D4C23×D6711yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—21no—
1568C22×C4—21no—
1569C22×C4—21no—
1570C22×C4—41no—
1571C22×C4—41no—
1572C22×C4—1341no—
1573C22×C4—1341no—
1574C22×C4—1341no—
1575C22×C4—1341no—
1576C22×C4—1341no—
1577C22×C4—1341no—
1578C22×C4—1341no—
1579C22×C4C2×C22⋊D6711yescharacteristic
1580C22×C4C2×C22⋊D6711yescharacteristic
1581C22×C4C2×C22⋊D6711yescharacteristic
1582C22×C4C23×D6711yescharacteristic
1583C22×C4C23×D6711yescharacteristic
1584C22×C4C23×D6711yescharacteristic
1585C22×C4C23×D6711yescharacteristic
1586C22×C4C23×D6711yescharacteristic
1587Q16—2681no—
1588Q16—2681no—
1589Q16—2681no—
1590SD16—2681no—
1591SD16—2681no—
1592SD16—2681no—
1593SD16—2681no—
1594SD16—2681no—
1595SD16—2681no—
1596SD16—2681no—
1597SD16—2681no—
1598SD16—2681no—
1599SD16—2681no—
1600SD16—1342no—
1601SD16—1342no—
1602SD16—1342no—
1603SD16—1342no—
1604SD16—1342no—
1605SD16—1342no—
1606D8—2681no—
1607D8—2681no—
1608D8—2681no—
1609D8—1342no—
1610D8—1342no—
1611M16—2681no—
1612M16—2681no—
1613M16—2681no—
1614M16—2681no—
1615C2×C8—2681no—
1616C2×C8—2681no—
1617C2×C8—2681no—
1618C2×C8—2681no—
1619C2×C8—671no—
1620C2×C8—671no—
1621C2×C8—671no—
1622C2×C8—671no—
1623C2×C8—671no—
1624C2×C8—671no—
1625C2×C8—671no—
1626C2×C8—671no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—671no—
1630C4⋊C4—671no—
1631C4⋊C4—671no—
1632C4⋊C4—671no—
1633C4⋊C4—1341no—
1634C4⋊C4—1341no—
1635C4⋊C4—1341no—
1636C4⋊C4—1341no—
1637C4⋊C4—1341no—
1638C4⋊C4—1341no—
1639C4⋊C4—1341no—
1640C4⋊C4—1341no—
1641C4⋊C4—1341no—
1642C4⋊C4—1341no—
1643C4⋊C4—1341no—
1644C4⋊C4—1341no—
1645C4⋊C4—1341no—
1646C4⋊C4—1341no—
1647C4⋊C4—1341no—
1648C4⋊C4—1341no—
1649C4⋊C4—1341no—
1650C4⋊C4—1341no—
1651C4⋊C4—1341no—
1652C4⋊C4C2×C22⋊D6711yescharacteristic
1653C4⋊C4C2×C22⋊D6711yescharacteristic
1654C4⋊C4C2×C22⋊D6711yescharacteristic
1655C4⋊C4C2×C22⋊D6711yescharacteristic
1656C4⋊C4C2×C22⋊D6711yescharacteristic
1657C4⋊C4C2×C22⋊D6711yescharacteristic
1658C4⋊C4C23×D6711yescharacteristic
1659C4⋊C4C23×D6711yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—1341no—
1678C22⋊C4—1341no—
1679C22⋊C4—1341no—
1680C22⋊C4—1341no—
1681C22⋊C4—1341no—
1682C22⋊C4—1341no—
1683C22⋊C4—1341no—
1684C22⋊C4—1341no—
1685C22⋊C4—1341no—
1686C22⋊C4—1341no—
1687C22⋊C4—1341no—
1688C22⋊C4—1341no—
1689C22⋊C4—1341no—
1690C22⋊C4—1341no—
1691C22⋊C4—1341no—
1692C22⋊C4—1341no—
1693C22⋊C4—1341no—
1694C22⋊C4C2×C22⋊D6711yescharacteristic
1695C22⋊C4C2×C22⋊D6711yescharacteristic
1696C22⋊C4C2×C22⋊D6711yescharacteristic
1697C22⋊C4C2×C22⋊D6711yescharacteristic
1698C22⋊C4C2×C22⋊D6711yescharacteristic
1699C22⋊C4C2×C22⋊D6711yescharacteristic
1700C22⋊C4C2×C22⋊D6711yescharacteristic
1701C22⋊C4C2×C22⋊D6711yescharacteristic
1702C22⋊C4C2×C22⋊D6711yescharacteristic
1703C22⋊C4C2×C22⋊D6711yescharacteristic
1704C42—21no—
1705C42—1341no—
1706C42—1341no—
1707C42—1341no—
1708C42—1341no—
1709C42—1341no—
1710C42C23×D6711yescharacteristic
1711C42C23×D6711yescharacteristic
1712C23—24no—
1713C23—22no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—21no—
1718C23—21no—
1719C23—41no—
1720C23—41no—
1721C23—42no—
1722C23—42no—
1723C23—42no—
1724C23—42no—
1725C23—42no—
1726C23—42no—
1727C23—42no—
1728C23—42no—
1729C23—42no—
1730C23—42no—
1731C23—42no—
1732C23—81no—
1733C23—81no—
1734C23—81no—
1735C23—81no—
1736C23—81no—
1737C23—81no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—81no—
1744C23—816no—
1745C23—1341no—
1746C23C22×C22⋊D6711yescharacteristic
1747C23C22×C22⋊D6711yescharacteristic
1748C23C22×C22⋊D6711yescharacteristic
1749C23C22×C22⋊D6711yescharacteristic
1750C23C22×C22⋊D6711yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—41no—
1754Q8—5361no—
1755Q8—5361no—
1756Q8—5361no—
1757Q8—1341no—
1758Q8—1341no—
1759Q8—1341no—
1760Q8—1341no—
1761Q8—1341no—
1762Q8—1341no—
1763D4—24no—
1764D4—22no—
1765D4—22no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—41no—
1775D4—41no—
1776D4—41no—
1777D4—41no—
1778D4—41no—
1779D4—42no—
1780D4—42no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—42no—
1786D4—42no—
1787D4—42no—
1788D4—42no—
1789D4—42no—
1790D4—42no—
1791D4—81no—
1792D4—81no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—2682no—
1800D4—5361no—
1801D4—5361no—
1802D4—5361no—
1803D4—5361no—
1804D4—1341no—
1805D4—1341no—
1806D4#1452408812yes—
1807D4#1452408812yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—41no—
1822C2×C4—41no—
1823C2×C4—41no—
1824C2×C4—42no—
1825C2×C4—42no—
1826C2×C4—42no—
1827C2×C4—81no—
1828C2×C4—81no—
1829C2×C4—81no—
1830C2×C4—81no—
1831C2×C4—5361no—
1832C2×C4—5361no—
1833C2×C4—5361no—
1834C2×C4—5361no—
1835C2×C4—5361no—
1836C2×C4—5361no—
1837C2×C4—5361no—
1838C2×C4—1341no—
1839C2×C4—1341no—
1840C2×C4—1341no—
1841C2×C4—1341no—
1842C2×C4—1341no—
1843C2×C4—1341no—
1844C2×C4—1341no—
1845C2×C4C22×C22⋊D6711yescharacteristic
1846C2×C4C22×C22⋊D6711yescharacteristic
1847C2×C4C22×C22⋊D6711yescharacteristic
1848C2×C4C22×C22⋊D6711yescharacteristic
1849C2×C4C22×C22⋊D6711yescharacteristic
1850C2×C4C22×C22⋊D6711yescharacteristic
1851C2×C4C22×C22⋊D6711yescharacteristic
1852C2×C4C22×C22⋊D6711yescharacteristic
1853C2×C4C22×C22⋊D6711yescharacteristic
1854C2×C4C24×D6711yescharacteristic
1855C8—1341no—
1856C8—1341no—
1857C8—1341no—
1858C8—1341no—
1859C8—1341no—
1860C8—1341no—
1861C8—1341no—
1862C8—1341no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—22no—
1870C22—22no—
1871C22—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—44no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—84no—
1894C22—84no—
1895C22—84no—
1896C22—84no—
1897C22—84no—
1898C22—84no—
1899C22—2681no—
1900C22—2681no—
1901C22—2681no—
1902C22—162no—
1903C22—162no—
1904C22#1686420712yes—
1905C22C23×C22⋊D6711yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—21no—
1911C4—21no—
1912C4—21no—
1913C4—21no—
1914C4—21no—
1915C4—41no—
1916C4—41no—
1917C4—41no—
1918C4—2681no—
1919C4—2681no—
1920C4—2681no—
1921C4—2681no—
1922C4—2681no—
1923C4—2681no—
1924C4—2681no—
1925C4C2×#1452408811yescharacteristic
1926C4C2×#1452408811yescharacteristic
1927C2—22no—
1928C2—41no—
1929C2—41no—
1930C2—41no—
1931C2—41no—
1932C2—42no—
1933C2—42no—
1934C2—81no—
1935C2—81no—
1936C2—81no—
1937C2—5361no—
1938C2#2257384411yescharacteristic
1939C2C2×#1686420711yescharacteristic
1940C2#2257498911yescharacteristic
subgroupG/H
centerC22C23×C22⋊D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3484C2
socleC22×C67C23×D4
hypercenter#3484D67
hypocenterC67#61610
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ #525 ◁ #3484

Complements

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

NH ≅ G/Ntype
1. #22574502C2semidirect
2. #22572440C2semidirect
3. #22572425C2semidirect
4. #22572350C2semidirect
5. #22572290C2semidirect
6. #22572245C2semidirect
7. #22572230C2semidirect
8. #22572059C2semidirect
9. #22572033C2semidirect
10. #22571912C2semidirect
11. D4×#11761616C2semidirect
12. #22571836C2semidirect
13. #22571805C2semidirect
14. #22571730C2semidirect
15. #22571715C2semidirect
16. #22571700C2semidirect
17. #22571700C2semidirect
18. #22571303C2semidirect
19. #22571281C2semidirect
20. #22571081C2semidirect
21. #22571061C2semidirect
22. #22571035C2semidirect
23. #22570997C2semidirect
24. #22570461C2semidirect
25. #22570393C2semidirect
26. #22569513C2semidirect
27. #22569486C2semidirect
28. #22569436C2semidirect
29. C2×#16863547C2semidirect
30. #22569257C2semidirect
31. C67×#3484C2semidirect
32. C2×#14524073C22semidirect
33. C2×#14524069C22semidirect
34. C2×#14524069C22semidirect
35. C2×#14524069C22semidirect
36. C2×#14524063C22semidirect
37. C22×#11761616C22semidirect
38. C22×#11761616C22semidirect
39. C22×#11761616C22semidirect
42. #16864116C22semidirect
43. #16864103C22semidirect
45. #16864092C22semidirect
47. #16864086C22semidirect
48. D4×Dic134C22semidirect
49. #16864055C22semidirect
50. #16864055C22semidirect
51. #16864051C22semidirect
52. #16864017C22semidirect
54. #16864008C22semidirect
58. #16863974C22semidirect
59. #16863967C22semidirect
60. #16863907C22semidirect
61. C2×#14524022C22semidirect
62. #16863791C22semidirect
63. #16863783C22semidirect
64. #16863778C22semidirect
65. #16863768C22semidirect
66. #16863760C22semidirect
67. #16863755C22semidirect
68. #16863750C22semidirect
69. #16863742C22semidirect
70. #16863737C22semidirect
71. #16863737C22semidirect
72. #16863737C22semidirect
73. #16863734C22semidirect
74. #16863729C22semidirect
75. #16863720C22semidirect
76. #16863717C22semidirect
77. #16863717C22semidirect
78. #16863717C22semidirect
79. #16863712C22semidirect
80. #16863712C22semidirect
81. #16863707C22semidirect
82. #16863696C22semidirect
83. #16863696C22semidirect
84. #16863686C22semidirect
85. #16863676C22semidirect
86. #16863652C22semidirect
87. #16863652C22semidirect
88. #16863647C22semidirect
89. #16863640C22semidirect
90. #16863640C22semidirect
91. #16863640C22semidirect
92. #16863640C22semidirect
93. #16863640C22semidirect
94. #16863635C22semidirect
95. #16863630C22semidirect
96. #16863630C22semidirect
97. #16863627C22semidirect
98. #16863623C22semidirect
99. #16863623C22semidirect
100. #16863623C22semidirect
101. #16863623C22semidirect
102. #16863615C22semidirect
103. #16863615C22semidirect
104. #16863615C22semidirect
105. #16863611C22semidirect
106. #16863611C22semidirect
107. #16863608C22semidirect
108. #16863601C22semidirect
109. #16863601C22semidirect
110. #16863593C22semidirect
111. #16863593C22semidirect
112. #16863593C22semidirect
113. #16863588C22semidirect
114. #16863558C22semidirect
115. #16863558C22semidirect
116. #16863558C22semidirect
117. #16863558C22semidirect
118. #16863558C22semidirect
119. #16863558C22semidirect
120. #16863556C22semidirect
121. #16863551C22semidirect
125. #16863547C22semidirect
126. #16863547C22semidirect
127. #16863547C22semidirect
128. #16863547C22semidirect
129. #16863547C22semidirect
130. #16863547C22semidirect
131. #16863547C22semidirect
132. #16863547C22semidirect
133. #16863547C22semidirect
134. #16863547C22semidirect
135. #16863547C22semidirect
136. #16863547C22semidirect
137. #16863541C22semidirect
138. #16863541C22semidirect
139. #16863539C22semidirect
140. #16863539C22semidirect
141. #16863539C22semidirect
142. #16863534C22semidirect
143. #16863534C22semidirect
144. #16863534C22semidirect
146. #16863530C22semidirect
147. #16863530C22semidirect
148. #16863530C22semidirect
149. #16863530C22semidirect
150. #16863506C22semidirect
151. #16863496C22semidirect
152. #16863496C22semidirect
153. #16863496C22semidirect
154. C4×#11761616C22semidirect
155. C4×#11761616C22semidirect
156. C4×#11761616C22semidirect
157. C4×#11761613C22semidirect
158. #16863474C22semidirect
159. #16863474C22semidirect
160. #16863468C22semidirect
161. #16863468C22semidirect
162. #16863468C22semidirect
163. #16863468C22semidirect
164. D4×C67⋊C8C22semidirect
165. D4×C67⋊C8C22semidirect
166. #16863457C22semidirect
167. #16863457C22semidirect
168. #16863401C22semidirect
169. #16863401C22semidirect
170. #16863401C22semidirect
171. #16863397C22semidirect
172. #16863392C22semidirect
173. C2×#14523964C22semidirect
174. C2×#14523964C22semidirect
175. C2×#14523964C22semidirect
176. #16863363C22semidirect
177. #16863363C22semidirect
178. #16863360C22semidirect
179. C2×C22⋊(C67⋊C8)C22semidirect
204. C2×#11761628C23semidirect
206. C22×Dic134C23semidirect
212. C2×#11761618C23semidirect
213. C2×#11761618C23semidirect
214. C2×#11761618C23semidirect
230. C2×#11761616C23semidirect
231. C2×#11761616C23semidirect
232. C2×#11761616C23semidirect
233. C2×#11761615C23semidirect
238. C2×#11761613C23semidirect
241. C2×#11761612C23semidirect
242. C2×#11761612C23semidirect
245. C22×C67⋊C8C23semidirect
246. C22×C67⋊C8C23semidirect
247. #14524043C23semidirect
248. #14524043C23semidirect
258. #14524035C23semidirect
263. #14524031C23semidirect
285. #14524022C23semidirect
286. #14524022C23semidirect
287. #14524022C23semidirect
298. #14524017C23semidirect
307. C4×Dic134C23semidirect
308. C4×Dic134C23semidirect
309. C4×Dic134C23semidirect
311. C4×D268C23semidirect
320. #14524002C23semidirect
323. C2×C4⋊Dic67C23semidirect
327. #14523976C23semidirect
328. #14523976C23semidirect
329. #14523976C23semidirect
330. #14523976C23semidirect
331. #14523974C23semidirect
332. #14523974C23semidirect
333. #14523974C23semidirect
334. #14523974C23semidirect
335. C4⋊(C67⋊C8)C23semidirect
336. C4⋊(C67⋊C8)C23semidirect
337. C4⋊(C67⋊C8)C23semidirect
338. C4⋊(C67⋊C8)C23semidirect
339. #14523967C23semidirect
340. #14523967C23semidirect
341. #14523967C23semidirect
342. #14523967C23semidirect
343. #14523966C23semidirect
344. #14523966C23semidirect
345. #14523966C23semidirect
346. #14523966C23semidirect
347. #14523966C23semidirect
348. #14523966C23semidirect
365. #14523964C23semidirect
366. #14523964C23semidirect
367. #14523964C23semidirect
368. #14523964C23semidirect
369. #14523963C23semidirect
370. #14523963C23semidirect
379. C22⋊(C67⋊C8)C23semidirect
380. C22⋊(C67⋊C8)C23semidirect
381. C22⋊(C67⋊C8)C23semidirect
382. C22⋊(C67⋊C8)C23semidirect
383. #14523954C23semidirect
384. #14523954C23semidirect
385. C4×C67⋊C8C23semidirect
386. C4×C67⋊C8C23semidirect
972. #3484D67semidirect
1002. C67#61610semidirect

Maximal subgroups

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

subgroupindex
#225745022
#225724402
#225724252
#225723502
#225722902
#225722452
#225722302
#225720592
#225720332
#225719122
D4×#117616162
#225718362
#225718052
#225717302
#225717152
#225717002
#225713032
#225712812
#225710812
#225710612
#225710352
#225709972
#225704612
#225703932
#225695132
#225694862
#225694362
C2×#168635472
#225692572
C67×#34842
#6161067