Finite Group Databasebeta

← #31752522

Subgroups — #31752522

Order 17152.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574549C211yesmaximal, characteristic, complemented
2#22573163C211yesmaximal, characteristic, complemented
3#22573119C211yesmaximal, characteristic, complemented
4#22573019C211yesmaximal, characteristic, complemented
5#22572956C211yesmaximal, characteristic, complemented
6#22572703C211yesmaximal, characteristic, complemented
7#22572694C211yesmaximal, characteristic, complemented
8#22572649C211yesmaximal, characteristic, complemented
9#22572643C211yesmaximal, characteristic, complemented
10#22572571C211yesmaximal, characteristic, complemented
11#22572552C211yesmaximal, characteristic, complemented
12#22572365C211yesmaximal, characteristic, complemented
13#22572290C211yesmaximal, characteristic, complemented
14#22572230C211yesmaximal, characteristic, complemented
15#22572170C211yesmaximal, characteristic, complemented
16#22572044C211yesmaximal, characteristic, complemented
17#22572022C211yesmaximal, characteristic, complemented
18#22571665C211yesmaximal, characteristic, complemented
19#22571614C211yesmaximal, characteristic, complemented
20#22571556C211yesmaximal, characteristic, complemented
21#22571486C211yesmaximal, characteristic, complemented
22#22571456C211yesmaximal, characteristic, complemented
23#22571427C211yesmaximal, characteristic, complemented
24#22570471C211yesmaximal, characteristic, complemented
25#22570393C211yesmaximal, characteristic, complemented
26#22570347C211yesmaximal, characteristic, complemented
27#22570060C211yesmaximal, characteristic, complemented
28#22570040C211yesmaximal, characteristic, complemented
29C2×#16863676C211yesmaximal, characteristic, complemented
30#22569348C211yesmaximal, characteristic, complemented
31C67×#3513C211yesmaximal, characteristic, complemented
32#16864148—21no—
33#16864148—21no—
34Q8×Dic134C2211yescharacteristic, complemented
35#16864111C2211yescharacteristic, complemented
36#16864106C2211yescharacteristic, complemented
37#16864103C2211yescharacteristic, complemented
38#16864088—21no—
39#16864086C2211yescharacteristic
40#16864086C2211yescharacteristic, complemented
41#16864050C2211yescharacteristic
42#16864050C2211yescharacteristic, complemented
43#16864046—21no—
44#16864026—21no—
45#16864024C2211yescharacteristic, complemented
46#16864024C2211yescharacteristic, complemented
47#16864017C2211yescharacteristic, complemented
48#16864017C2211yescharacteristic, complemented
49#16864015—21no—
50#16863968—21no—
51#16863968—21no—
52C2×#14524043C2211yescharacteristic, complemented
53#16863930C2211yescharacteristic, complemented
54#16863806C2211yescharacteristic, complemented
55#16863806C2211yescharacteristic, complemented
56#16863806C2211yescharacteristic, complemented
57#16863802C2211yescharacteristic, complemented
58#16863799C2211yescharacteristic, complemented
59#16863795C2211yescharacteristic, complemented
60#16863760C2211yescharacteristic
61#16863755C2211yescharacteristic, complemented
62#16863755C2211yescharacteristic, complemented
63#16863755C2211yescharacteristic, complemented
64#16863750C2211yescharacteristic, complemented
65#16863742C2211yescharacteristic
66#16863737C2211yescharacteristic, complemented
67#16863734C2211yescharacteristic, complemented
68#16863731C2211yescharacteristic, complemented
69#16863729C2211yescharacteristic, complemented
70#16863726C2211yescharacteristic, complemented
71#16863724C2211yescharacteristic, complemented
72#16863724C2211yescharacteristic, complemented
73#16863720C2211yescharacteristic, complemented
74#16863717C2211yescharacteristic
75#16863717C2211yescharacteristic, complemented
76#16863717C2211yescharacteristic, complemented
77#16863712C2211yescharacteristic, complemented
78#16863709C2211yescharacteristic, complemented
79#16863709C2211yescharacteristic, complemented
80#16863707C2211yescharacteristic
81#16863707C2211yescharacteristic
82#16863707C2211yescharacteristic
83#16863707C2211yescharacteristic, complemented
84#16863703C2211yescharacteristic, complemented
85#16863703C2211yescharacteristic, complemented
86#16863700C2211yescharacteristic, complemented
87#16863700C2211yescharacteristic, complemented
88#16863696C2211yescharacteristic
89#16863696C2211yescharacteristic
90#16863696C2211yescharacteristic
91#16863696C2211yescharacteristic, complemented
92#16863696C2211yescharacteristic, complemented
93#16863696C2211yescharacteristic, complemented
94#16863693C2211yescharacteristic, complemented
95#16863693C2211yescharacteristic, complemented
96#16863691C2211yescharacteristic, complemented
97#16863691C2211yescharacteristic, complemented
98#16863691C2211yescharacteristic, complemented
99#16863688C2211yescharacteristic, complemented
100#16863686C2211yescharacteristic
101#16863686C2211yescharacteristic, complemented
102#16863686C2211yescharacteristic, complemented
103#16863676C2211yescharacteristic
104#16863676C2211yescharacteristic
105#16863676C2211yescharacteristic
106#16863676C2211yescharacteristic
107#16863676C2211yescharacteristic
108#16863676C2211yescharacteristic, complemented
109#16863676C2211yescharacteristic, complemented
110#16863676C2211yescharacteristic, complemented
111#16863676C2211yescharacteristic, complemented
112#16863676C2211yescharacteristic, complemented
113#16863673C2211yescharacteristic, complemented
114#16863647C2211yescharacteristic, complemented
115#16863644C2211yescharacteristic, complemented
116#16863640C2211yescharacteristic
117#16863640C2211yescharacteristic, complemented
118#16863635C2211yescharacteristic, complemented
119#16863635C2211yescharacteristic, complemented
120#16863630C2211yescharacteristic
121#16863630C2211yescharacteristic
122#16863630C2211yescharacteristic, complemented
123#16863627C2211yescharacteristic, complemented
124#16863623C2211yescharacteristic
125#16863623C2211yescharacteristic, complemented
126#16863618C2211yescharacteristic, complemented
127#16863615C2211yescharacteristic, complemented
128#16863615C2211yescharacteristic, complemented
129#16863611C2211yescharacteristic
130#16863611C2211yescharacteristic, complemented
131#16863611C2211yescharacteristic, complemented
132#16863608C2211yescharacteristic, complemented
133#16863608C2211yescharacteristic, complemented
134#16863593C2211yescharacteristic
135#16863588C2211yescharacteristic
136#16863558C2211yescharacteristic
137#16863547C2211yescharacteristic
138#16863547C2211yescharacteristic
139#16863541C2211yescharacteristic
140#16863530C2211yescharacteristic
141#16863530C2211yescharacteristic
142#16863527C2211yescharacteristic, complemented
143#16863527C2211yescharacteristic, complemented
144#16863506C2211yescharacteristic
145#16863506C2211yescharacteristic
146#16863506C2211yescharacteristic, complemented
147#16863496C2211yescharacteristic
148#16863496C2211yescharacteristic
149#16863496C2211yescharacteristic, complemented
150#16863496C2211yescharacteristic, complemented
151#16863494C2211yescharacteristic, complemented
152C4×#11761618C2211yescharacteristic, complemented
153C4×#11761616C2211yescharacteristic
154C4×#11761613C2211yescharacteristic
155C4×#11761613C2211yescharacteristic, complemented
156#16863468C2211yescharacteristic
157#16863468C2211yescharacteristic, complemented
158#16863468C2211yescharacteristic, complemented
159#16863468C2211yescharacteristic, complemented
160D4×C67⋊C8C2211yescharacteristic
161D4×C67⋊C8C2211yescharacteristic, complemented
162#16863457C2211yescharacteristic, complemented
163#16863457C2211yescharacteristic, complemented
164#16863453C2211yescharacteristic, complemented
165#16863439C2211yescharacteristic, complemented
166#16863436C2211yescharacteristic, complemented
167#16863432C2211yescharacteristic, complemented
168C2×#14523976C2211yescharacteristic, complemented
169C2×#14523976C2211yescharacteristic, complemented
170C2×#14523976C2211yescharacteristic, complemented
171#16863423C2211yescharacteristic, complemented
172#16863423C2211yescharacteristic, complemented
173C2×C4⋊(C67⋊C8)C2211yescharacteristic, complemented
174#16863401C2211yescharacteristic
175#16863397C2211yescharacteristic
176#16863392C2211yescharacteristic
177C2×#14523964C2211yescharacteristic
178C2×#14523964C2211yescharacteristic
179C2×#14523964C2211yescharacteristic
180#559×C67C2211yescharacteristic
181#554×C67C2211yescharacteristic
182#553×C67—21no—
183#553×C67C2211yescharacteristic
184#552×C67C2211yescharacteristic
185#551×C67—21no—
186#551×C67—21no—
187#547×C67C2211yescharacteristic
188#546×C67—21no—
189#546×C67C2211yescharacteristic
190#546×C67C2211yescharacteristic
191D42×C67C2211yescharacteristic
192#542×C67C2211yescharacteristic
193#540×C67C2211yescharacteristic
194#539×C67—21no—
195#538×C67—21no—
196#529×C67C2211yescharacteristic
197#529×C67C2211yescharacteristic
198#525×C67—21no—
199C2×#123×C67—21no—
200#520×C67C2211yescharacteristic
201#518×C67C2211yescharacteristic
202C2×C4×D4×C67C2211yescharacteristic
203C2×#11761627—21no—
204C2×#11761627—21no—
205C22×Dic134—21no—
206C2×#11761618C2311yescharacteristic
207C2×#11761616C2311yescharacteristic
208C2×#11761616C2311yescharacteristic
209C2×#11761616C2311yescharacteristic
210C2×#11761615C2311yescharacteristic
211C2×#11761613C2311yescharacteristic
212C2×#11761613C2311yescharacteristic
213C2×#11761613C2311yescharacteristic
214C2×#11761612C2311yescharacteristic
215C2×#11761612C2311yescharacteristic
216C22×C67⋊C8C2311yescharacteristic
217C22×C67⋊C8C2311yescharacteristic
218C22×C67⋊C8C2311yescharacteristic
219C22×C67⋊C8C2311yescharacteristic
220#14524043—21no—
221#14524043—21no—
222#14524043C2311yescharacteristic
223#14524043C2311yescharacteristic
224#14524043C2311yescharacteristic
225#14524043C2311yescharacteristic
226#14524043C2311yescharacteristic
227#14524043C2311yescharacteristic
228#14524042—21no—
229#14524042—21no—
230#14524042—21no—
231#14524042—21no—
232#14524042—21no—
233#14524038—21no—
234#14524038—21no—
235#14524037—21no—
236#14524036—21no—
237#14524036—21no—
238#14524035C2311yescharacteristic
239#14524035C2311yescharacteristic
240#14524035C2311yescharacteristic
241#14524034—21no—
242#14524034—21no—
243#14524034—21no—
244#14524033—21no—
245#14524033—21no—
246#14524031C2311yescharacteristic
247#14524029—21no—
248#14524029—21no—
249#14524029—21no—
250#14524029—21no—
251#14524027—21no—
252#14524027—21no—
253#14524027—21no—
254#14524027—21no—
255#14524026—21no—
256#14524025—21no—
257#14524025—21no—
258#14524024—21no—
259#14524024—21no—
260#14524023—21no—
261#14524023—21no—
262#14524022C2311yescharacteristic
263#14524022C2311yescharacteristic
264#14524022C2311yescharacteristic
265#14524021—21no—
266#14524021—21no—
267#14524021—21no—
268#14524021—21no—
269#14524020—21no—
270#14524020—21no—
271#14524020—21no—
272#14524020—21no—
273#14524020—21no—
274#14524020—21no—
275#14524019—21no—
276#14524017C2311yescharacteristic
277#14524017C2311yescharacteristic
278#14524017C2311yescharacteristic
279#14524014—21no—
280Q8×Dic67—21no—
281C4×Dic134C2311yescharacteristic
282C4×Dic134C2311yescharacteristic
283C4×Dic134C2311yescharacteristic
284C4×D268C2311yescharacteristic
285C4×D268C2311yescharacteristic
286C4×D268C2311yescharacteristic
287D4×Dic67—21no—
288C4×C22⋊D67—21no—
289#14524002C2311yescharacteristic
290#14524002C2311yescharacteristic
291#14524001—21no—
292#14524000—21no—
293#14523999—21no—
294#14523999—21no—
295C2×C4⋊Dic67—21no—
296C2×C4⋊Dic67C2311yescharacteristic
297C2×C4⋊Dic67C2311yescharacteristic
298C2×C4⋊Dic67C2311yescharacteristic
299C2×C4⋊Dic67C2311yescharacteristic
300C4⋊C4×D67—21no—
301#14523976C2311yescharacteristic
302#14523976C2311yescharacteristic
303#14523976C2311yescharacteristic
304#14523976C2311yescharacteristic
305#14523976C2311yescharacteristic
306#14523976C2311yescharacteristic
307#14523976C2311yescharacteristic
308#14523976C2311yescharacteristic
309#14523976C2311yescharacteristic
310#14523976C2311yescharacteristic
311#14523976C2311yescharacteristic
312#14523976C2311yescharacteristic
313#14523976C2311yescharacteristic
314#14523976C2311yescharacteristic
315#14523976C2311yescharacteristic
316#14523976C2311yescharacteristic
317#14523974C2311yescharacteristic
318#14523974C2311yescharacteristic
319#14523974C2311yescharacteristic
320#14523974C2311yescharacteristic
321#14523974C2311yescharacteristic
322#14523974C2311yescharacteristic
323#14523974C2311yescharacteristic
324#14523974C2311yescharacteristic
325C4⋊(C67⋊C8)C2311yescharacteristic
326C4⋊(C67⋊C8)C2311yescharacteristic
327C4⋊(C67⋊C8)C2311yescharacteristic
328C4⋊(C67⋊C8)C2311yescharacteristic
329C4⋊(C67⋊C8)C2311yescharacteristic
330C4⋊(C67⋊C8)C2311yescharacteristic
331C4⋊(C67⋊C8)C2311yescharacteristic
332C4⋊(C67⋊C8)C2311yescharacteristic
333C4⋊(C67⋊C8)C2311yescharacteristic
334C4⋊(C67⋊C8)C2311yescharacteristic
335#14523967C2311yescharacteristic
336#14523967C2311yescharacteristic
337#14523967C2311yescharacteristic
338#14523967C2311yescharacteristic
339#14523967C2311yescharacteristic
340#14523967C2311yescharacteristic
341#14523966C2311yescharacteristic
342#14523966C2311yescharacteristic
343#14523966C2311yescharacteristic
344#14523966C2311yescharacteristic
345#14523964C2311yescharacteristic
346#14523964C2311yescharacteristic
347#14523964C2311yescharacteristic
348#14523964C2311yescharacteristic
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#14523963C2311yescharacteristic
364#14523963C2311yescharacteristic
365#14523963C2311yescharacteristic
366#14523963C2311yescharacteristic
367C22⋊(C67⋊C8)C2311yescharacteristic
368C22⋊(C67⋊C8)C2311yescharacteristic
369C22⋊(C67⋊C8)C2311yescharacteristic
370C22⋊(C67⋊C8)C2311yescharacteristic
371C22⋊(C67⋊C8)C2311yescharacteristic
372C22⋊(C67⋊C8)C2311yescharacteristic
373#14523954C2311yescharacteristic
374#14523954C2311yescharacteristic
375#14523954C2311yescharacteristic
376#14523954C2311yescharacteristic
377C4×C67⋊C8C2311yescharacteristic
378C4×C67⋊C8C2311yescharacteristic
379C2×#41×C67—21no—
380C2×#41×C67C2311yescharacteristic
381C22×D4×C67—21no—
382C22×D4×C67C2311yescharacteristic
383C22×D4×C67C2311yescharacteristic
384C23×C4×C67—21no—
385C4⋊Q8×C67C2311yescharacteristic
386#127×C67C2311yescharacteristic
387#126×C67—21no—
388#126×C67—21no—
389#126×C67—21no—
390#126×C67—21no—
391#126×C67D411yescharacteristic
392#126×C67D411yescharacteristic
393#125×C67—21no—
394#125×C67D411yescharacteristic
395#125×C67C2311yescharacteristic
396#125×C67C2311yescharacteristic
397#124×C67—21no—
398#124×C67—21no—
399#124×C67D411yescharacteristic
400#124×C67C2311yescharacteristic
401#124×C67C2311yescharacteristic
402#123×C67—21no—
403#123×C67—21no—
404#123×C67—21no—
405#123×C67—21no—
406#123×C67—21no—
407#123×C67—21no—
408#123×C67—21no—
409#123×C67—21no—
410#123×C67—21no—
411#123×C67—21no—
412#123×C67—21no—
413#123×C67—21no—
414#123×C67D411yescharacteristic
415#123×C67D411yescharacteristic
416C22⋊Q8×C67—21no—
417C22⋊Q8×C67—21no—
418C22⋊Q8×C67—21no—
419C22⋊Q8×C67—21no—
420C22⋊Q8×C67—21no—
421C22⋊Q8×C67D411yescharacteristic
422C22⋊Q8×C67C2311yescharacteristic
423C22⋊Q8×C67C2311yescharacteristic
424#121×C67—21no—
425#121×C67—21no—
426#121×C67—21no—
427#121×C67—21no—
428#121×C67—21no—
429#121×C67—21no—
430#121×C67D411yescharacteristic
431#121×C67C2311yescharacteristic
432#121×C67C2311yescharacteristic
433#121×C67C2311yescharacteristic
434#121×C67C2311yescharacteristic
435#120×C67—21no—
436#120×C67—21no—
437#120×C67—21no—
438#120×C67—21no—
439C4×Q8×C67C2311yescharacteristic
440C4×Q8×C67C2311yescharacteristic
441C4×Q8×C67C2311yescharacteristic
442C4×D4×C67—21no—
443C4×D4×C67—21no—
444C4×D4×C67—21no—
445C4×D4×C67—21no—
446C4×D4×C67—21no—
447C4×D4×C67—21no—
448C4×D4×C67—21no—
449C4×D4×C67—21no—
450C4×D4×C67—21no—
451C4×D4×C67C2311yescharacteristic
452C4×D4×C67C2311yescharacteristic
453C4×D4×C67C2311yescharacteristic
454C4×D4×C67C2311yescharacteristic
455C4×D4×C67C2311yescharacteristic
456C4×D4×C67C2311yescharacteristic
457C4×D4×C67C2311yescharacteristic
458C4×D4×C67C2311yescharacteristic
459C4×D4×C67C2311yescharacteristic
460C4×D4×C67C2311yescharacteristic
461C4×D4×C67C2311yescharacteristic
462#117×C67—21no—
463#117×C67—21no—
464#117×C67—21no—
465#117×C67C2311yescharacteristic
466#117×C67C2311yescharacteristic
467#117×C67C2311yescharacteristic
468C2×C4⋊C4×C67—21no—
469C2×C4⋊C4×C67—21no—
470C2×C4⋊C4×C67C2311yescharacteristic
471C2×C4⋊C4×C67C2311yescharacteristic
472C2×C22⋊C4×C67—21no—
473C2×C22⋊C4×C67—21no—
474C2×C22⋊C4×C67—21no—
475C2×C22⋊C4×C67—21no—
476C2×C22⋊C4×C67—21no—
477C2×C42×C67C2311yescharacteristic
478#11761627—82no—
479#11761627—82no—
480C2×Dic134—21no—
481C2×Dic134—21no—
482C2×Dic134—21no—
483C2×Dic134—21no—
484C2×Dic134—21no—
485C2×Dic134—21no—
486C2×Dic134—82no—
487C2×Dic134C2411yescharacteristic
488C2×D268C2411yescharacteristic
489C2×C22⋊D67—21no—
490C2×C22⋊D67—21no—
491C2×C22⋊D67—21no—
492C22×Dic67—21no—
493C22×Dic67—21no—
494C22×Dic67—21no—
495C22×Dic67—21no—
496C2×C4×D67—21no—
497C2×C4×D67—21no—
498C2×C4×D67—21no—
499#11761618—41no—
500#11761616—22no—
501#11761616—41no—
502#11761616—41no—
503#11761615—41no—
504#11761613—22no—
505#11761613—41no—
506#11761613—41no—
507#11761612—41no—
508#11761612—41no—
509C2×C67⋊C8—41no—
510C2×C67⋊C8—41no—
511C2×C67⋊C8—41no—
512C2×C67⋊C8—41no—
513C2×C67⋊C8C2411yescharacteristic
514C2×C67⋊C8C2411yescharacteristic
515C2×C67⋊C8C2411yescharacteristic
516C2×C67⋊C8C2411yescharacteristic
517C2×C67⋊C8C2411yescharacteristic
518C2×C67⋊C8C2411yescharacteristic
519C2×C67⋊C8C2411yescharacteristic
520C2×C67⋊C8C2411yescharacteristic
521C4⋊Dic67—21no—
522C4⋊Dic67—21no—
523C4⋊Dic67—21no—
524C4⋊Dic67—21no—
525C4⋊Dic67—21no—
526C4⋊Dic67—21no—
527C4⋊Dic67—21no—
528C4⋊Dic67—21no—
529C4⋊Dic67—21no—
530C4⋊Dic67—21no—
531C4⋊Dic67C2411yescharacteristic
532C4⋊Dic67C2411yescharacteristic
533C4⋊Dic67C2411yescharacteristic
534C4⋊Dic67C2411yescharacteristic
535C4⋊Dic67C2411yescharacteristic
536C4⋊Dic67C2411yescharacteristic
537Dic67⋊C4—21no—
538Dic67⋊C4—21no—
539Dic67⋊C4—21no—
540Dic67⋊C4—21no—
541Dic67⋊C4—21no—
542Dic67⋊C4—21no—
543Dic67⋊C4—21no—
544Dic67⋊C4—21no—
545Dic67⋊C4—21no—
546Dic67⋊C4—21no—
547Dic67⋊C4—21no—
548Dic67⋊C4—21no—
549C22⋊Dic67—21no—
550C22⋊Dic67—21no—
551C22⋊Dic67—21no—
552C22⋊Dic67—21no—
553C22⋊Dic67—21no—
554(C2×D67)⋊C4—21no—
555(C2×D67)⋊C4—21no—
556(C2×D67)⋊C4—21no—
557(C2×D67)⋊C4—21no—
558(C2×D67)⋊C4—21no—
559(C2×D67)⋊C4—21no—
560(C2×D67)⋊C4—21no—
561(C2×D67)⋊C4—21no—
562C4×Dic67—21no—
563C4×Dic67—21no—
564C4×Dic67—21no—
565C4×Dic67—21no—
566C4×Dic67—21no—
567C24×C67—21no—
568C24×C67—21no—
569#41×C67—22no—
570#41×C67—41no—
571#41×C67—82no—
572C2×Q8×C67—21no—
573C2×Q8×C67C2×D411yescharacteristic
574C2×Q8×C67C2411yescharacteristic
575C2×D4×C67—22no—
576C2×D4×C67—22no—
577C2×D4×C67—21no—
578C2×D4×C67—21no—
579C2×D4×C67—21no—
580C2×D4×C67—21no—
581C2×D4×C67—21no—
582C2×D4×C67—21no—
583C2×D4×C67—21no—
584C2×D4×C67—21no—
585C2×D4×C67—21no—
586C2×D4×C67—41no—
587C2×D4×C67—41no—
588C2×D4×C67—82no—
589C2×D4×C67C2×D411yescharacteristic
590C2×D4×C67C2×D411yescharacteristic
591C2×D4×C67C2×D411yescharacteristic
592C2×D4×C67C2411yescharacteristic
593C2×D4×C67C2411yescharacteristic
594C2×D4×C67C2411yescharacteristic
595C22×C4×C67—21no—
596C22×C4×C67—21no—
597C22×C4×C67—21no—
598C22×C4×C67—21no—
599C22×C4×C67—21no—
600C22×C4×C67—21no—
601C22×C4×C67—21no—
602C22×C4×C67—21no—
603C22×C4×C67—21no—
604C22×C4×C67—21no—
605C22×C4×C67—21no—
606C22×C4×C67—82no—
607C22×C4×C67C2×D411yescharacteristic
608C22×C4×C67C2×D411yescharacteristic
609C22×C4×C67C2411yescharacteristic
610C22×C4×C67C2411yescharacteristic
611C22×C4×C67C2411yescharacteristic
612C4⋊C4×C67—21no—
613C4⋊C4×C67—21no—
614C4⋊C4×C67—21no—
615C4⋊C4×C67—21no—
616C4⋊C4×C67—21no—
617C4⋊C4×C67—21no—
618C4⋊C4×C67—21no—
619C4⋊C4×C67—21no—
620C4⋊C4×C67—21no—
621C4⋊C4×C67—21no—
622C4⋊C4×C67—21no—
623C4⋊C4×C67C2×D411yescharacteristic
624C4⋊C4×C67C2×D411yescharacteristic
625C4⋊C4×C67C2×D411yescharacteristic
626C4⋊C4×C67C2×D411yescharacteristic
627C4⋊C4×C67C2×D411yescharacteristic
628C4⋊C4×C67C2×D411yescharacteristic
629C4⋊C4×C67C2×D411yescharacteristic
630C4⋊C4×C67C2×D411yescharacteristic
631C4⋊C4×C67C2×D411yescharacteristic
632C4⋊C4×C67C2×D411yescharacteristic
633C4⋊C4×C67C2411yescharacteristic
634C4⋊C4×C67C2411yescharacteristic
635C4⋊C4×C67C2411yescharacteristic
636C4⋊C4×C67C2411yescharacteristic
637C22⋊C4×C67—21no—
638C22⋊C4×C67—21no—
639C22⋊C4×C67—21no—
640C22⋊C4×C67—21no—
641C22⋊C4×C67—21no—
642C22⋊C4×C67—21no—
643C22⋊C4×C67—21no—
644C22⋊C4×C67—21no—
645C22⋊C4×C67—21no—
646C22⋊C4×C67—21no—
647C22⋊C4×C67—21no—
648C22⋊C4×C67—21no—
649C22⋊C4×C67—21no—
650C22⋊C4×C67—21no—
651C22⋊C4×C67—21no—
652C22⋊C4×C67—21no—
653C22⋊C4×C67—21no—
654C22⋊C4×C67—21no—
655C22⋊C4×C67—21no—
656C22⋊C4×C67C2×D411yescharacteristic
657C22⋊C4×C67C2×D411yescharacteristic
658C22⋊C4×C67C2×D411yescharacteristic
659C22⋊C4×C67C2×D411yescharacteristic
660C22⋊C4×C67C2×D411yescharacteristic
661C22⋊C4×C67C2×D411yescharacteristic
662C22⋊C4×C67C2×D411yescharacteristic
663C22⋊C4×C67C2×D411yescharacteristic
664C22⋊C4×C67C2×D411yescharacteristic
665C22⋊C4×C67C2×D411yescharacteristic
666C42×C67—21no—
667C42×C67—21no—
668C42×C67—21no—
669C42×C67C2×D411yescharacteristic
670C42×C67C2×D411yescharacteristic
671C42×C67C2411yescharacteristic
672C42×C67C2411yescharacteristic
673C42×C67C2411yescharacteristic
674C42×C67C2411yescharacteristic
675C23×C67—21no—
676C23×C67—21no—
677C23×C67—21no—
678C23×C67—42no—
679C23×C67—42no—
680C23×C67—42no—
681C23×C67—81no—
682C23×C67—81no—
683C23×C67—81no—
684C23×C67C22×D411yescharacteristic
685C23×C67C22×D411yescharacteristic
686C23×C67C22×D411yescharacteristic
687C22×D67—21no—
688Q8×C67—21no—
689Q8×C67—21no—
690Q8×C67—41no—
691Q8×C67—81no—
692D4×C67—22no—
693D4×C67—22no—
694D4×C67—21no—
695D4×C67—21no—
696D4×C67—21no—
697D4×C67—21no—
698D4×C67—21no—
699D4×C67—41no—
700D4×C67—42no—
701D4×C67—42no—
702D4×C67—42no—
703D4×C67—42no—
704D4×C67—81no—
705D4×C67—81no—
706D4×C67—81no—
707D4×C67—81no—
708D4×C67—81no—
709D4×C672−1+412yes—
710C2×C4×C67—22no—
711C2×C4×C67—21no—
712C2×C4×C67—21no—
713C2×C4×C67—21no—
714C2×C4×C67—21no—
715C2×C4×C67—21no—
716C2×C4×C67—21no—
717C2×C4×C67—21no—
718C2×C4×C67—21no—
719C2×C4×C67—21no—
720C2×C4×C67—21no—
721C2×C4×C67—21no—
722C2×C4×C67—41no—
723C2×C4×C67—42no—
724C2×C4×C67—42no—
725C2×C4×C67—81no—
726C2×C4×C67—81no—
727C2×C4×C67—81no—
728C2×C4×C67—81no—
729C2×C4×C67—81no—
730C2×C4×C67—81no—
731C2×C4×C67—81no—
732C2×C4×C67—81no—
733C2×C4×C67—81no—
734C2×C4×C67C22×D411yescharacteristic
735C2×C4×C67C22×D411yescharacteristic
736C2×C4×C67C22×D411yescharacteristic
737C2×C4×C67C22×D411yescharacteristic
738C2×C4×C67C22×D411yescharacteristic
739C2×C4×C67C22×D411yescharacteristic
740C2×C4×C67C22×D411yescharacteristic
741C2×C4×C67C22×D411yescharacteristic
742C2×C4×C67C22×D411yescharacteristic
743C2×C4×C67C22×D411yescharacteristic
744C2×C4×C67C22×D411yescharacteristic
745C2×C4×C67C2511yescharacteristic
746C22⋊D67—42no—
747C22⋊D67—81no—
748C22⋊D67—81no—
749C2×Dic67—21no—
750C2×Dic67—21no—
751C2×Dic67—21no—
752C2×Dic67—21no—
753C2×Dic67—21no—
754C2×Dic67—21no—
755C2×Dic67—21no—
756C2×Dic67—42no—
757C2×Dic67—42no—
758C2×Dic67—81no—
759C2×Dic67—81no—
760D268—21no—
761D268—21no—
762C4×D67—42no—
763C4×D67—81no—
764C4×D67—81no—
765Dic134—21no—
766Dic134—21no—
767Dic134—81no—
768Dic134—81no—
769Dic134—81no—
770Dic134—81no—
771Dic134—81no—
772Dic134—81no—
773C67⋊C8—21no—
774C67⋊C8—21no—
775C67⋊C8—21no—
776C67⋊C8—21no—
777C67⋊C8—21no—
778C67⋊C8—21no—
779C67⋊C8—21no—
780C67⋊C8—21no—
781C22×C67—21no—
782C22×C67—21no—
783C22×C67—21no—
784C22×C67—21no—
785C22×C67—21no—
786C22×C67—21no—
787C22×C67—22no—
788C22×C67—21no—
789C22×C67—21no—
790C22×C67—41no—
791C22×C67—41no—
792C22×C67—41no—
793C22×C67—41no—
794C22×C67—41no—
795C22×C67—41no—
796C22×C67—41no—
797C22×C67—41no—
798C22×C67—84no—
799C22×C67—162no—
800C22×C67#57612yes—
801C22×C67C23×D411yescharacteristic
802C2×D67—41no—
803C2×D67—41no—
804C2×D67—41no—
805C4×C67—21no—
806C4×C67—21no—
807C4×C67—21no—
808C4×C67—21no—
809C4×C67—21no—
810C4×C67—21no—
811C4×C67—21no—
812C4×C67—21no—
813C4×C67—21no—
814C4×C67—21no—
815C4×C67—21no—
816C4×C67—41no—
817C4×C67—41no—
818C4×C67—41no—
819C4×C67—41no—
820C4×C67—41no—
821C4×C67C2×2−1+411yescharacteristic
822C4×C67#58511yescharacteristic
823Dic67—41no—
824Dic67—41no—
825Dic67—41no—
826Dic67—41no—
827Dic67—41no—
828Dic67—41no—
829Dic67—41no—
830#62155—671nomaximal, Sylow
831C2×C67—22no—
832C2×C67—41no—
833C2×C67—41no—
834C2×C67—42no—
835C2×C67—81no—
836C2×C67—81no—
837C2×C67#348911yescharacteristic
838C2×C67C2×#57611yescharacteristic
839C2×C67#358611yescharacteristic
840D67—81no—
841#3544—671no—
842#3513D6711yescharacteristic, complemented
843#3389—671no—
844#3385—671no—
845#3375—671no—
846#3370—671no—
847#3347—671no—
848#3346—671no—
849#3343—671no—
850#3343—671no—
851#3336—671no—
852#3334—671no—
853#3319—671no—
854#3314—671no—
855#3310—671no—
856#3306—671no—
857#3296—671no—
858#3294—671no—
859#3262—671no—
860#3257—671no—
861#3250—671no—
862#3243—671no—
863#3241—671no—
864#3238—671no—
865#3124—671no—
866#3118—671no—
867#3114—671no—
868#3083—671no—
869#3081—671no—
870C2×#474—671no—
871#2992—671no—
872C67#6215511yescharacteristic, complemented, Sylow
873#563—1341no—
874#563—1341no—
875#559C2×D6711yescharacteristic
876Q82—671no—
877#555—671no—
878#554—671no—
879#554—671no—
880#554C2×D6711yescharacteristic
881#553—21no—
882#553C2×D6711yescharacteristic
883#552—671no—
884#552—671no—
885#552—1341no—
886#552C2×D6711yescharacteristic
887#551—21no—
888#551—21no—
889#547—671no—
890#547—671no—
891#547—1341no—
892#547C2×D6711yescharacteristic
893#546—21no—
894#546C2×D6711yescharacteristic
895#546C2×D6711yescharacteristic
896D42C2×D6711yescharacteristic
897#544—671no—
898#544—671no—
899#544—1341no—
900#542—671no—
901#542—671no—
902#542—1341no—
903#542C2×D6711yescharacteristic
904#540C2×D6711yescharacteristic
905#539—21no—
906#538—21no—
907#536—1341no—
908#536—1341no—
909C2×C4⋊Q8—671no—
910#529—671no—
911#529C2×D6711yescharacteristic
912#529C2×D6711yescharacteristic
913#525—21no—
914C2×#123—21no—
915#520C2×D6711yescharacteristic
916#518C2×D6711yescharacteristic
917C2×C4×D4C2×D6711yescharacteristic
918#501—671no—
919#501—671no—
920#501—671no—
921#501—671no—
922#500—671no—
923#499—671no—
924#490—671no—
925#489—671no—
926#489—671no—
927#489—671no—
928#488—671no—
929#486—671no—
930#485—671no—
931#485—671no—
932#484—671no—
933#484—671no—
934#483—671no—
935#483—671no—
936#483—671no—
937#482—671no—
938#482—671no—
939#482—671no—
940#482—671no—
941#481—671no—
942#480—671no—
943#480—671no—
944#480—671no—
945#480—671no—
946#480—671no—
947#480—671no—
948#479—671no—
949#479—671no—
950#479—671no—
951#479—671no—
952#478—671no—
953#478—671no—
954#478—671no—
955#478—671no—
956#478—671no—
957#478—671no—
958#478—671no—
959#478—671no—
960#477—671no—
961#477—671no—
962#477—671no—
963#477—671no—
964#476—671no—
965#476—671no—
966#476—671no—
967#474—671no—
968#474—671no—
969#474—671no—
970#474—671no—
971#474—671no—
972#474—671no—
973#474—671no—
974#474—671no—
975#474—671no—
976#474—671no—
977#474—671no—
978#469—671no—
979#468—671no—
980#468—671no—
981#468—671no—
982#467—671no—
983#467—671no—
984#466—671no—
985#466—671no—
986#466—671no—
987#465—671no—
988#465—671no—
989#465—671no—
990#464—671no—
991#464—671no—
992#464—671no—
993#463—671no—
994#463—671no—
995#463—671no—
996#463—671no—
997#463—671no—
998#460—671no—
999#459—671no—
1000#452—671no—
1001#450—671no—
1002#450—671no—
1003#449—671no—
1004#447—671no—
1005#447—671no—
1006#446—671no—
1007#446—671no—
1008#442—671no—
1009#442—671no—
1010#442—671no—
1011#440—671no—
1012#440—671no—
1013#440—671no—
1014#440—671no—
1015#440—671no—
1016C4×Q16—671no—
1017C4×SD16—671no—
1018C4×D8—671no—
1019C4×D8—671no—
1020#435—671no—
1021#435—671no—
1022#435—671no—
1023#435—671no—
1024C8×D4—671no—
1025C8×D4—671no—
1026#433—671no—
1027#433—671no—
1028#432—671no—
1029#428—671no—
1030#428—671no—
1031#427—671no—
1032C2×#107—671no—
1033C2×#107—671no—
1034C2×#107—671no—
1035#424—671no—
1036#424—671no—
1037C2×C4⋊C8—671no—
1038#418—671no—
1039#417—671no—
1040#416—671no—
1041C2×#102—671no—
1042C2×#102—671no—
1043C2×#102—671no—
1044C2×#41—21no—
1045C2×#41—1341no—
1046C2×#41—1341no—
1047C2×#41C22×D6711yescharacteristic
1048C22×Q8—1341no—
1049C22×D4—21no—
1050C22×D4C22×D6711yescharacteristic
1051C22×D4C22×D6711yescharacteristic
1052C23×C4—21no—
1053C2×Q16—671no—
1054C2×SD16—671no—
1055C2×SD16—671no—
1056C2×SD16—671no—
1057C2×SD16—671no—
1058C2×D8—671no—
1059C2×D8—671no—
1060C2×D8—671no—
1061C2×M16—671no—
1062C2×M16—671no—
1063C22×C8—671no—
1064C22×C8—671no—
1065C22×C8—671no—
1066C22×C8—671no—
1067C4⋊Q8—671no—
1068C4⋊Q8—671no—
1069C4⋊Q8—671no—
1070C4⋊Q8—671no—
1071C4⋊Q8—671no—
1072C4⋊Q8—671no—
1073C4⋊Q8—1341no—
1074C4⋊Q8—1341no—
1075C4⋊Q8—1341no—
1076C4⋊Q8—1341no—
1077C4⋊Q8—1341no—
1078C4⋊Q8—1341no—
1079C4⋊Q8—1341no—
1080C4⋊Q8C22×D6711yescharacteristic
1081#127C22×D6711yescharacteristic
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—1341no—
1087#126—1341no—
1088#126—1341no—
1089#126—1341no—
1090#126—1341no—
1091#126C22⋊D6711yescharacteristic
1092#126C22⋊D6711yescharacteristic
1093#125—21no—
1094#125—671no—
1095#125—671no—
1096#125—671no—
1097#125—1341no—
1098#125—1341no—
1099#125—1341no—
1100#125—1341no—
1101#125—1341no—
1102#125C22⋊D6711yescharacteristic
1103#125C22×D6711yescharacteristic
1104#125C22×D6711yescharacteristic
1105#124—21no—
1106#124—21no—
1107#124—671no—
1108#124—1341no—
1109#124—1341no—
1110#124—1341no—
1111#124—1341no—
1112#124C22⋊D6711yescharacteristic
1113#124C22×D6711yescharacteristic
1114#124C22×D6711yescharacteristic
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—1341no—
1128#123—1341no—
1129#123—1341no—
1130#123—1341no—
1131#123—1341no—
1132#123—1341no—
1133#123—1341no—
1134#123—1341no—
1135#123—1341no—
1136#123C22⋊D6711yescharacteristic
1137#123C22⋊D6711yescharacteristic
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—671no—
1144C22⋊Q8—671no—
1145C22⋊Q8—671no—
1146C22⋊Q8—1341no—
1147C22⋊Q8—1341no—
1148C22⋊Q8—1341no—
1149C22⋊Q8—1341no—
1150C22⋊Q8—1341no—
1151C22⋊Q8—1341no—
1152C22⋊Q8—1341no—
1153C22⋊Q8—1341no—
1154C22⋊Q8—1341no—
1155C22⋊Q8—1341no—
1156C22⋊Q8—1341no—
1157C22⋊Q8—1341no—
1158C22⋊Q8—1341no—
1159C22⋊Q8C22⋊D6711yescharacteristic
1160C22⋊Q8C22×D6711yescharacteristic
1161C22⋊Q8C22×D6711yescharacteristic
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—671no—
1169#121—671no—
1170#121—671no—
1171#121—1341no—
1172#121C22⋊D6711yescharacteristic
1173#121C22×D6711yescharacteristic
1174#121C22×D6711yescharacteristic
1175#121C22×D6711yescharacteristic
1176#121C22×D6711yescharacteristic
1177#120—21no—
1178#120—21no—
1179#120—21no—
1180#120—21no—
1181C4×Q8—671no—
1182C4×Q8—671no—
1183C4×Q8—671no—
1184C4×Q8—1341no—
1185C4×Q8C22×D6711yescharacteristic
1186C4×Q8C22×D6711yescharacteristic
1187C4×Q8C22×D6711yescharacteristic
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—671no—
1198C4×D4—671no—
1199C4×D4—671no—
1200C4×D4—1341no—
1201C4×D4—1341no—
1202C4×D4C22×D6711yescharacteristic
1203C4×D4C22×D6711yescharacteristic
1204C4×D4C22×D6711yescharacteristic
1205C4×D4C22×D6711yescharacteristic
1206C4×D4C22×D6711yescharacteristic
1207C4×D4C22×D6711yescharacteristic
1208C4×D4C22×D6711yescharacteristic
1209C4×D4C22×D6711yescharacteristic
1210C4×D4C22×D6711yescharacteristic
1211C4×D4C22×D6711yescharacteristic
1212C4×D4C22×D6711yescharacteristic
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117—671no—
1217#117—671no—
1218#117—1341no—
1219#117—1341no—
1220#117—1341no—
1221#117—1341no—
1222#117C22×D6711yescharacteristic
1223#117C22×D6711yescharacteristic
1224#117C22×D6711yescharacteristic
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4—21no—
1227C2×C4⋊C4—671no—
1228C2×C4⋊C4—671no—
1229C2×C4⋊C4—671no—
1230C2×C4⋊C4—671no—
1231C2×C4⋊C4—1341no—
1232C2×C4⋊C4—1341no—
1233C2×C4⋊C4C22×D6711yescharacteristic
1234C2×C4⋊C4C22×D6711yescharacteristic
1235C2×C22⋊C4—21no—
1236C2×C22⋊C4—21no—
1237C2×C22⋊C4—21no—
1238C2×C22⋊C4—21no—
1239C2×C22⋊C4—21no—
1240C2×C42C22×D6711yescharacteristic
1241#107—671no—
1242#107—671no—
1243#107—671no—
1244#107—671no—
1245#107—671no—
1246#107—671no—
1247#107—671no—
1248#107—671no—
1249#107—671no—
1250#107—671no—
1251#107—671no—
1252#107—671no—
1253#107—671no—
1254#107—671no—
1255#107—671no—
1256#107—671no—
1257#106—671no—
1258#106—671no—
1259#106—671no—
1260#106—671no—
1261#106—671no—
1262#106—671no—
1263#106—671no—
1264#106—671no—
1265C4⋊C8—671no—
1266C4⋊C8—671no—
1267C4⋊C8—671no—
1268C4⋊C8—671no—
1269C4⋊C8—671no—
1270C4⋊C8—671no—
1271C4⋊C8—671no—
1272C4⋊C8—671no—
1273C4⋊C8—671no—
1274C4⋊C8—671no—
1275#103—671no—
1276#103—671no—
1277#103—671no—
1278#103—671no—
1279#103—671no—
1280#103—671no—
1281#103—671no—
1282#103—671no—
1283#103—671no—
1284#103—671no—
1285#102—671no—
1286#102—671no—
1287#102—671no—
1288#102—671no—
1289#102—671no—
1290#102—671no—
1291#102—671no—
1292#102—671no—
1293#102—671no—
1294#102—671no—
1295#102—671no—
1296#102—671no—
1297#102—671no—
1298#102—671no—
1299#102—671no—
1300#102—671no—
1301#102—671no—
1302#102—671no—
1303#102—671no—
1304#102—671no—
1305#102—671no—
1306#102—671no—
1307C22⋊C8—671no—
1308C22⋊C8—671no—
1309C22⋊C8—671no—
1310C22⋊C8—671no—
1311C22⋊C8—671no—
1312C22⋊C8—671no—
1313#97—671no—
1314#97—671no—
1315#97—671no—
1316#97—671no—
1317C4×C8—671no—
1318C4×C8—671no—
1319C24—21no—
1320C24—21no—
1321#41—22no—
1322#41—41no—
1323#41—82no—
1324#41—5362no—
1325#41—5362no—
1326C2×Q8—21no—
1327C2×Q8—5362no—
1328C2×Q8—671no—
1329C2×Q8—1341no—
1330C2×Q8—1341no—
1331C2×Q8—1341no—
1332C2×Q8—1341no—
1333C2×Q8—1341no—
1334C2×Q8—1341no—
1335C2×Q8C2×C22⋊D6711yescharacteristic
1336C2×Q8C23×D6711yescharacteristic
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—21no—
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—82no—
1351C2×D4—671no—
1352C2×D4—1341no—
1353C2×D4—1341no—
1354C2×D4—1341no—
1355C2×D4C2×C22⋊D6711yescharacteristic
1356C2×D4C2×C22⋊D6711yescharacteristic
1357C2×D4C2×C22⋊D6711yescharacteristic
1358C2×D4C23×D6711yescharacteristic
1359C2×D4C23×D6711yescharacteristic
1360C2×D4C23×D6711yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—82no—
1373C22×C4—1341no—
1374C22×C4—1341no—
1375C22×C4—1341no—
1376C22×C4—1341no—
1377C22×C4—1341no—
1378C22×C4—1341no—
1379C22×C4—1341no—
1380C22×C4C2×C22⋊D6711yescharacteristic
1381C22×C4C2×C22⋊D6711yescharacteristic
1382C22×C4C23×D6711yescharacteristic
1383C22×C4C23×D6711yescharacteristic
1384C22×C4C23×D6711yescharacteristic
1385Q16—2681no—
1386SD16—2681no—
1387SD16—2681no—
1388SD16—2681no—
1389SD16—1342no—
1390D8—2681no—
1391D8—2681no—
1392D8—1342no—
1393M16—2681no—
1394M16—2681no—
1395C2×C8—2681no—
1396C2×C8—2681no—
1397C2×C8—2681no—
1398C2×C8—2681no—
1399C2×C8—671no—
1400C2×C8—671no—
1401C2×C8—671no—
1402C2×C8—671no—
1403C2×C8—671no—
1404C2×C8—671no—
1405C2×C8—671no—
1406C2×C8—671no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—671no—
1419C4⋊C4—671no—
1420C4⋊C4—671no—
1421C4⋊C4—671no—
1422C4⋊C4—671no—
1423C4⋊C4—671no—
1424C4⋊C4—1341no—
1425C4⋊C4—1341no—
1426C4⋊C4—1341no—
1427C4⋊C4—1341no—
1428C4⋊C4—1341no—
1429C4⋊C4—1341no—
1430C4⋊C4—1341no—
1431C4⋊C4—1341no—
1432C4⋊C4—1341no—
1433C4⋊C4—1341no—
1434C4⋊C4—1341no—
1435C4⋊C4—1341no—
1436C4⋊C4—1341no—
1437C4⋊C4—1341no—
1438C4⋊C4—1341no—
1439C4⋊C4—1341no—
1440C4⋊C4—1341no—
1441C4⋊C4—1341no—
1442C4⋊C4—1341no—
1443C4⋊C4—1341no—
1444C4⋊C4—1341no—
1445C4⋊C4—1341no—
1446C4⋊C4C2×C22⋊D6711yescharacteristic
1447C4⋊C4C2×C22⋊D6711yescharacteristic
1448C4⋊C4C2×C22⋊D6711yescharacteristic
1449C4⋊C4C2×C22⋊D6711yescharacteristic
1450C4⋊C4C2×C22⋊D6711yescharacteristic
1451C4⋊C4C2×C22⋊D6711yescharacteristic
1452C4⋊C4C2×C22⋊D6711yescharacteristic
1453C4⋊C4C2×C22⋊D6711yescharacteristic
1454C4⋊C4C2×C22⋊D6711yescharacteristic
1455C4⋊C4C2×C22⋊D6711yescharacteristic
1456C4⋊C4C23×D6711yescharacteristic
1457C4⋊C4C23×D6711yescharacteristic
1458C4⋊C4C23×D6711yescharacteristic
1459C4⋊C4C23×D6711yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—1341no—
1480C22⋊C4—1341no—
1481C22⋊C4—1341no—
1482C22⋊C4—1341no—
1483C22⋊C4—1341no—
1484C22⋊C4—1341no—
1485C22⋊C4—1341no—
1486C22⋊C4—1341no—
1487C22⋊C4—1341no—
1488C22⋊C4—1341no—
1489C22⋊C4—1341no—
1490C22⋊C4—1341no—
1491C22⋊C4—1341no—
1492C22⋊C4C2×C22⋊D6711yescharacteristic
1493C22⋊C4C2×C22⋊D6711yescharacteristic
1494C22⋊C4C2×C22⋊D6711yescharacteristic
1495C22⋊C4C2×C22⋊D6711yescharacteristic
1496C22⋊C4C2×C22⋊D6711yescharacteristic
1497C22⋊C4C2×C22⋊D6711yescharacteristic
1498C22⋊C4C2×C22⋊D6711yescharacteristic
1499C22⋊C4C2×C22⋊D6711yescharacteristic
1500C22⋊C4C2×C22⋊D6711yescharacteristic
1501C22⋊C4C2×C22⋊D6711yescharacteristic
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—1341no—
1506C42—1341no—
1507C42—1341no—
1508C42—1341no—
1509C42—1341no—
1510C42C2×C22⋊D6711yescharacteristic
1511C42C2×C22⋊D6711yescharacteristic
1512C42C23×D6711yescharacteristic
1513C42C23×D6711yescharacteristic
1514C42C23×D6711yescharacteristic
1515C42C23×D6711yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—42no—
1520C23—42no—
1521C23—42no—
1522C23—81no—
1523C23—81no—
1524C23—81no—
1525C23—1341no—
1526C23C22×C22⋊D6711yescharacteristic
1527C23C22×C22⋊D6711yescharacteristic
1528C23C22×C22⋊D6711yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—41no—
1532Q8—81no—
1533Q8—5361no—
1534Q8—5361no—
1535Q8—5361no—
1536Q8—5361no—
1537Q8—5361no—
1538Q8—5361no—
1539Q8—1341no—
1540Q8—1341no—
1541D4—22no—
1542D4—22no—
1543D4—21no—
1544D4—21no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—41no—
1549D4—42no—
1550D4—42no—
1551D4—42no—
1552D4—42no—
1553D4—81no—
1554D4—81no—
1555D4—81no—
1556D4—81no—
1557D4—81no—
1558D4—2682no—
1559D4—5361no—
1560D4—5361no—
1561D4—1341no—
1562D4—1341no—
1563D4#1452409012yes—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—41no—
1577C2×C4—42no—
1578C2×C4—42no—
1579C2×C4—81no—
1580C2×C4—81no—
1581C2×C4—81no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—2682no—
1589C2×C4—2682no—
1590C2×C4—2682no—
1591C2×C4—5361no—
1592C2×C4—5361no—
1593C2×C4—5361no—
1594C2×C4—5361no—
1595C2×C4—1341no—
1596C2×C4—1341no—
1597C2×C4—1341no—
1598C2×C4—1341no—
1599C2×C4—1341no—
1600C2×C4—1341no—
1601C2×C4—1341no—
1602C2×C4C22×C22⋊D6711yescharacteristic
1603C2×C4C22×C22⋊D6711yescharacteristic
1604C2×C4C22×C22⋊D6711yescharacteristic
1605C2×C4C22×C22⋊D6711yescharacteristic
1606C2×C4C22×C22⋊D6711yescharacteristic
1607C2×C4C22×C22⋊D6711yescharacteristic
1608C2×C4C22×C22⋊D6711yescharacteristic
1609C2×C4C22×C22⋊D6711yescharacteristic
1610C2×C4C22×C22⋊D6711yescharacteristic
1611C2×C4C22×C22⋊D6711yescharacteristic
1612C2×C4C22×C22⋊D6711yescharacteristic
1613C2×C4C24×D6711yescharacteristic
1614C8—1341no—
1615C8—1341no—
1616C8—1341no—
1617C8—1341no—
1618C8—1341no—
1619C8—1341no—
1620C8—1341no—
1621C8—1341no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—22no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—21no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—84no—
1640C22—2681no—
1641C22—2681no—
1642C22—2681no—
1643C22—162no—
1644C22#1686419912yes—
1645C22C23×C22⋊D6711yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—21no—
1655C4—21no—
1656C4—21no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—2681no—
1663C4—2681no—
1664C4—2681no—
1665C4—2681no—
1666C4—2681no—
1667C4—2681no—
1668C4—2681no—
1669C4C2×#1452409011yescharacteristic
1670C4#1686423211yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—41no—
1674C2—42no—
1675C2—81no—
1676C2—81no—
1677C2—5361no—
1678C2#2257388911yescharacteristic
1679C2C2×#1686419911yescharacteristic
1680C2#2257499511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3513C2
socleC22×C67C23×D4
hypercenter#3513D67
hypocenterC67#62155
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ #529 ◁ #3513

Complements

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

NH ≅ G/Ntype
1. #22574549C2semidirect
2. #22573163C2semidirect
3. #22573119C2semidirect
4. #22573019C2semidirect
5. #22572956C2semidirect
6. #22572703C2semidirect
7. #22572694C2semidirect
8. #22572649C2semidirect
9. #22572643C2semidirect
10. #22572571C2semidirect
11. #22572552C2semidirect
12. #22572365C2semidirect
13. #22572290C2semidirect
14. #22572230C2semidirect
15. #22572170C2semidirect
16. #22572044C2semidirect
17. #22572022C2semidirect
18. #22571665C2semidirect
19. #22571614C2semidirect
20. #22571556C2semidirect
21. #22571486C2semidirect
22. #22571456C2semidirect
23. #22571427C2semidirect
24. #22570471C2semidirect
25. #22570393C2semidirect
26. #22570347C2semidirect
27. #22570060C2semidirect
28. #22570040C2semidirect
29. C2×#16863676C2semidirect
30. #22569348C2semidirect
31. C67×#3513C2semidirect
34. Q8×Dic134C22semidirect
35. #16864111C22semidirect
36. #16864106C22semidirect
37. #16864103C22semidirect
40. #16864086C22semidirect
42. #16864050C22semidirect
45. #16864024C22semidirect
46. #16864024C22semidirect
47. #16864017C22semidirect
48. #16864017C22semidirect
52. C2×#14524043C22semidirect
53. #16863930C22semidirect
54. #16863806C22semidirect
55. #16863806C22semidirect
56. #16863806C22semidirect
57. #16863802C22semidirect
58. #16863799C22semidirect
59. #16863795C22semidirect
61. #16863755C22semidirect
62. #16863755C22semidirect
63. #16863755C22semidirect
64. #16863750C22semidirect
66. #16863737C22semidirect
67. #16863734C22semidirect
68. #16863731C22semidirect
69. #16863729C22semidirect
70. #16863726C22semidirect
71. #16863724C22semidirect
72. #16863724C22semidirect
73. #16863720C22semidirect
75. #16863717C22semidirect
76. #16863717C22semidirect
77. #16863712C22semidirect
78. #16863709C22semidirect
79. #16863709C22semidirect
83. #16863707C22semidirect
84. #16863703C22semidirect
85. #16863703C22semidirect
86. #16863700C22semidirect
87. #16863700C22semidirect
91. #16863696C22semidirect
92. #16863696C22semidirect
93. #16863696C22semidirect
94. #16863693C22semidirect
95. #16863693C22semidirect
96. #16863691C22semidirect
97. #16863691C22semidirect
98. #16863691C22semidirect
99. #16863688C22semidirect
101. #16863686C22semidirect
102. #16863686C22semidirect
108. #16863676C22semidirect
109. #16863676C22semidirect
110. #16863676C22semidirect
111. #16863676C22semidirect
112. #16863676C22semidirect
113. #16863673C22semidirect
114. #16863647C22semidirect
115. #16863644C22semidirect
117. #16863640C22semidirect
118. #16863635C22semidirect
119. #16863635C22semidirect
122. #16863630C22semidirect
123. #16863627C22semidirect
125. #16863623C22semidirect
126. #16863618C22semidirect
127. #16863615C22semidirect
128. #16863615C22semidirect
130. #16863611C22semidirect
131. #16863611C22semidirect
132. #16863608C22semidirect
133. #16863608C22semidirect
142. #16863527C22semidirect
143. #16863527C22semidirect
146. #16863506C22semidirect
149. #16863496C22semidirect
150. #16863496C22semidirect
151. #16863494C22semidirect
152. C4×#11761618C22semidirect
155. C4×#11761613C22semidirect
157. #16863468C22semidirect
158. #16863468C22semidirect
159. #16863468C22semidirect
161. D4×C67⋊C8C22semidirect
162. #16863457C22semidirect
163. #16863457C22semidirect
164. #16863453C22semidirect
165. #16863439C22semidirect
166. #16863436C22semidirect
167. #16863432C22semidirect
168. C2×#14523976C22semidirect
169. C2×#14523976C22semidirect
170. C2×#14523976C22semidirect
171. #16863423C22semidirect
172. #16863423C22semidirect
173. C2×C4⋊(C67⋊C8)C22semidirect
842. #3513D67semidirect
872. C67#62155semidirect

Maximal subgroups

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

subgroupindex
#225745492
#225731632
#225731192
#225730192
#225729562
#225727032
#225726942
#225726492
#225726432
#225725712
#225725522
#225723652
#225722902
#225722302
#225721702
#225720442
#225720222
#225716652
#225716142
#225715562
#225714862
#225714562
#225714272
#225704712
#225703932
#225703472
#225700602
#225700402
C2×#168636762
#225693482
C67×#35132
#6215567