Finite Group Databasebeta

← #32876434

Subgroups — #32876434

Order 18176.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602091C211yesmaximal, characteristic, complemented
2#22602074C211yesmaximal, characteristic
3#22600891C211yesmaximal, characteristic, complemented
4#22600887C211yesmaximal, characteristic, complemented
5#22600851C211yesmaximal, characteristic, complemented
6#22600830C211yesmaximal, characteristic, complemented
7#22600826C211yesmaximal, characteristic, complemented
8#22600779C211yesmaximal, characteristic, complemented
9#22600775C211yesmaximal, characteristic, complemented
10#22600753C211yesmaximal, characteristic, complemented
11#22600746C211yesmaximal, characteristic, complemented
12#22600726C211yesmaximal, characteristic, complemented
13#22600722C211yesmaximal, characteristic, complemented
14#22600719C211yesmaximal, characteristic, complemented
15#22600712C211yesmaximal, characteristic, complemented
16#22600700C211yesmaximal, characteristic, complemented
17#22600695C211yesmaximal, characteristic, complemented
18#22598867C211yesmaximal, characteristic, complemented
19#22598306C211yesmaximal, characteristic, complemented
20#22598297C211yesmaximal, characteristic, complemented
21#22598287C211yesmaximal, characteristic, complemented
22#22598279C211yesmaximal, characteristic, complemented
23#22598175C211yesmaximal, characteristic, complemented
24#22598170C211yesmaximal, characteristic, complemented
25#22597977C211yesmaximal, characteristic, complemented
26#465×D71C211yesmaximal, characteristic, complemented
27#22597196C211yesmaximal, characteristic, complemented
28#22597031C211yesmaximal, characteristic, complemented
29#22596934C211yesmaximal, characteristic, complemented
30#427×D71C211yesmaximal, characteristic, complemented
31C71×#3348C211yesmaximal, characteristic, complemented
32C2×SD16×D71C2211yescharacteristic
33C2×#14556136C2211yescharacteristic
34C22×C8×D71C2211yescharacteristic
35#17986720C2211yescharacteristic, complemented
36#17986719C2211yescharacteristic, complemented
37#17986712C2211yescharacteristic
38#17986709C2211yescharacteristic, complemented
39#17986704C2211yescharacteristic, complemented
40#17986699C2211yescharacteristic
41#17986696C2211yescharacteristic
42#17986695C2211yescharacteristic
43#17986693C2211yescharacteristic
44#17986688—21no—
45#17986688C2211yescharacteristic, complemented
46#17986687C2211yescharacteristic, complemented
47#17986683C2211yescharacteristic, complemented
48#17986681—21no—
49#17986679—21no—
50#17986677—21no—
51#17986674—21no—
52#17986673—21no—
53#17986652C2211yescharacteristic
54#17986649C2211yescharacteristic
55#17986642—21no—
56#17986638—21no—
57#17986629C2211yescharacteristic
58#17986626C2211yescharacteristic
59#17986617—21no—
60#17986613—21no—
61#17986606—21no—
62#17986599—21no—
63#17986572C2211yescharacteristic
64#17986565C2211yescharacteristic
65#17986555—21no—
66#17986548—21no—
67#17986527—21no—
68#17986527—21no—
69#17986508C2211yescharacteristic
70C22⋊Q8×D71C2211yescharacteristic
71#121×D71C2211yescharacteristic
72#17986480C2211yescharacteristic
73#17986479C2211yescharacteristic
74#17986475C2211yescharacteristic
75#17986471C2211yescharacteristic
76#117×D71C2211yescharacteristic
77#117×D71C2211yescharacteristic
78#17986408C2211yescharacteristic, complemented
79#17986407C2211yescharacteristic, complemented
80#17986406C2211yescharacteristic, complemented
81#17986400C2211yescharacteristic, complemented
82#17986398C2211yescharacteristic, complemented
83#17986396C2211yescharacteristic, complemented
84#17986395C2211yescharacteristic, complemented
85#17986343C2211yescharacteristic, complemented
86#17986341C2211yescharacteristic, complemented
87#17986340C2211yescharacteristic, complemented
88#17986340C2211yescharacteristic, complemented
89#17986338C2211yescharacteristic, complemented
90#17986337C2211yescharacteristic, complemented
91#17986336C2211yescharacteristic, complemented
92#17986336C2211yescharacteristic, complemented
93#17986333C2211yescharacteristic, complemented
94#17986332C2211yescharacteristic, complemented
95#17986331C2211yescharacteristic, complemented
96#17986330C2211yescharacteristic, complemented
97#17986328C2211yescharacteristic, complemented
98#17986328C2211yescharacteristic, complemented
99#17986325C2211yescharacteristic, complemented
100#17986324C2211yescharacteristic
101#17986324C2211yescharacteristic, complemented
102#17986323C2211yescharacteristic
103#17986322C2211yescharacteristic, complemented
104#17986320C2211yescharacteristic
105#17986320C2211yescharacteristic, complemented
106#17986319C2211yescharacteristic
107#17986319C2211yescharacteristic, complemented
108#17986316C2211yescharacteristic
109#17986314C2211yescharacteristic
110#17986312C2211yescharacteristic, complemented
111#17986311C2211yescharacteristic
112#17986311C2211yescharacteristic, complemented
113#17986309C2211yescharacteristic, complemented
114#17986307C2211yescharacteristic, complemented
115#17986306C2211yescharacteristic, complemented
116#17986304C2211yescharacteristic, complemented
117#17986301C2211yescharacteristic, complemented
118#17986298C2211yescharacteristic, complemented
119#17986296C2211yescharacteristic, complemented
120#17986292C2211yescharacteristic, complemented
121#17986291C2211yescharacteristic, complemented
122#17986290C2211yescharacteristic, complemented
123#17986287C2211yescharacteristic, complemented
124#17986283C2211yescharacteristic, complemented
125#17986279C2211yescharacteristic, complemented
126#17986278C2211yescharacteristic, complemented
127#17986246C2211yescharacteristic, complemented
128#17986245C2211yescharacteristic, complemented
129#17986242C2211yescharacteristic, complemented
130#17986231C2211yescharacteristic
131#17986231C2211yescharacteristic, complemented
132#17986230C2211yescharacteristic
133#17986230C2211yescharacteristic, complemented
134#17986229C2211yescharacteristic
135#17986228C2211yescharacteristic
136#17986227C2211yescharacteristic
137#17986227C2211yescharacteristic, complemented
138#17986226C2211yescharacteristic
139#17986226C2211yescharacteristic, complemented
140#17986225C2211yescharacteristic
141#17986101C2211yescharacteristic, complemented
142#17986100C2211yescharacteristic, complemented
143#17986098C2211yescharacteristic, complemented
144#17986090C2211yescharacteristic, complemented
145C4×#11765852C2211yescharacteristic, complemented
146C4×#11765853C2211yescharacteristic, complemented
147#17986084C2211yescharacteristic, complemented
148#17986072C2211yescharacteristic, complemented
149#17986070C2211yescharacteristic, complemented
150#17986068C2211yescharacteristic, complemented
151D4×C71⋊C8C2211yescharacteristic, complemented
152#17986064C2211yescharacteristic, complemented
153(C22⋊D71)⋊C8C2211yescharacteristic, complemented
154(C22⋊D71)⋊C8C2211yescharacteristic, complemented
155#17986041C2211yescharacteristic, complemented
156#17986040C2211yescharacteristic
157#17986040C2211yescharacteristic
158#17986040C2211yescharacteristic, complemented
159#17986038C2211yescharacteristic
160#17986038C2211yescharacteristic
161#17986038C2211yescharacteristic, complemented
162#17986037C2211yescharacteristic, complemented
163#17986036C2211yescharacteristic
164#17986036C2211yescharacteristic
165#17986036C2211yescharacteristic, complemented
166#17986035C2211yescharacteristic, complemented
167#17986035C2211yescharacteristic, complemented
168#17986035C2211yescharacteristic, complemented
169#17986034C2211yescharacteristic
170#17986034C2211yescharacteristic
171#107×D71C2211yescharacteristic, complemented
172#107×D71C2211yescharacteristic, complemented
173C2×#14556059C2211yescharacteristic, complemented
174#106×D71C2211yescharacteristic
175#106×D71C2211yescharacteristic, complemented
176#106×D71C2211yescharacteristic, complemented
177#106×D71C2211yescharacteristic, complemented
178#17986024C2211yescharacteristic
179#17986006C2211yescharacteristic
180#17986006C2211yescharacteristic
181#17986002C2211yescharacteristic
182#17986002C2211yescharacteristic
183#103×D71C2211yescharacteristic
184#102×D71C2211yescharacteristic
185#17985964C2211yescharacteristic
186#17985961C2211yescharacteristic
187#17985956C2211yescharacteristic
188#555×C71C2211yescharacteristic
189#552×C71C2211yescharacteristic, complemented
190#501×C71C2211yescharacteristic, complemented
191#485×C71C2211yescharacteristic, complemented
192#485×C71C2211yescharacteristic, complemented
193#482×C71C2211yescharacteristic
194#481×C71C2211yescharacteristic, complemented
195#478×C71C2211yescharacteristic, complemented
196#475×C71C2211yescharacteristic, complemented
197#468×C71C2211yescharacteristic, complemented
198#465×C71C2211yescharacteristic
199#440×C71C2211yescharacteristic, complemented
200#435×C71C2211yescharacteristic, complemented
201#428×C71C2211yescharacteristic, complemented
202#427×C71C2211yescharacteristic, complemented
203C2×#11765866—21no—
204C2×#11765865C2311yescharacteristic
205C2×#11765864—21no—
206C2×Q8×D71C2311yescharacteristic
207C2×D4×D71—21no—
208C2×D4×D71C2311yescharacteristic
209C22×C4×D71C2311yescharacteristic
210C2×#11765854C2311yescharacteristic
211C2×#11765853C2311yescharacteristic
212C2×#11765852C2311yescharacteristic
213SD16×D71—24no—
214#14556136—24no—
215C2×#11765848C2311yescharacteristic
216C2×#11765848C2311yescharacteristic
217C2×#11765848C2311yescharacteristic
218C22×C71⋊C8C2311yescharacteristic
219C22×C71⋊C8C2311yescharacteristic
220C2×C8×D71—24no—
221C2×C8×D71C2311yescharacteristic
222C2×C8×D71C2311yescharacteristic
223C2×C8×D71C2311yescharacteristic
224C2×C8×D71C2311yescharacteristic
225C2×C8×D71C2311yescharacteristic
226#14556128C2311yescharacteristic
227#14556127—21no—
228#14556127—21no—
229#14556127C2311yescharacteristic
230#14556127C2311yescharacteristic
231#14556126—21no—
232#14556124—21no—
233#14556123—21no—
234#14556123—21no—
235#14556123—21no—
236#14556122—21no—
237#14556121—21no—
238#14556121—21no—
239#14556121—21no—
240#14556121—21no—
241#14556121—21no—
242#14556121—21no—
243#14556121—21no—
244#14556120—21no—
245#14556120—21no—
246#14556120C2311yescharacteristic
247#14556119—21no—
248#14556119C2311yescharacteristic
249#14556119C2311yescharacteristic
250#14556118—21no—
251#14556118—21no—
252#14556118—21no—
253#14556118—21no—
254#14556116—21no—
255#14556115—21no—
256#14556114—21no—
257#14556114—21no—
258#14556114—21no—
259#14556114—21no—
260#14556113—21no—
261#14556113—21no—
262#14556113—21no—
263#14556113—21no—
264#14556113D411yescharacteristic
265#14556111—21no—
266#14556110—21no—
267#14556110—21no—
268#14556110—21no—
269#14556110—21no—
270#14556110—21no—
271#14556110—21no—
272#14556110D411yescharacteristic
273#14556109—21no—
274#14556109—21no—
275#14556108—21no—
276#14556108C2311yescharacteristic
277#14556108C2311yescharacteristic
278#14556107—21no—
279#14556107C2311yescharacteristic
280#14556107C2311yescharacteristic
281#14556106—21no—
282#14556106—21no—
283#14556106—21no—
284#14556106—21no—
285#14556106—21no—
286#14556106—21no—
287#14556106D411yescharacteristic
288#14556105—21no—
289#14556105—21no—
290#14556105D411yescharacteristic
291#14556104—21no—
292#14556104—21no—
293#14556104C2311yescharacteristic
294#14556104C2311yescharacteristic
295#14556103C2311yescharacteristic
296#14556103C2311yescharacteristic
297#14556102C2311yescharacteristic
298#14556102C2311yescharacteristic
299#14556101—21no—
300#14556101—21no—
301#14556101—21no—
302#14556101—21no—
303#14556101D411yescharacteristic
304#14556100—21no—
305#14556100—21no—
306#14556100D411yescharacteristic
307#14556099—21no—
308#14556099C2311yescharacteristic
309#14556099C2311yescharacteristic
310#14556098—21no—
311#14556098D411yescharacteristic
312#14556096—21no—
313#14556096D411yescharacteristic
314Q8×Dic71C2311yescharacteristic
315C4×Dic142—21no—
316C4×Dic142—21no—
317C4×Dic142C2311yescharacteristic
318#14556093—21no—
319#14556093—21no—
320#14556093—21no—
321#14556093—21no—
322#14556093C2311yescharacteristic
323C4×D284—21no—
324C4×D284—21no—
325C4×D284—21no—
326C4×D284C2311yescharacteristic
327C4×D284C2311yescharacteristic
328D4×Dic71C2311yescharacteristic
329#14556090—21no—
330#14556090C2311yescharacteristic
331C4×C22⋊D71—21no—
332C4×C22⋊D71—21no—
333C4×C22⋊D71—21no—
334C4×C22⋊D71—21no—
335C4×C22⋊D71—21no—
336C4×C22⋊D71C2311yescharacteristic
337C4×C22⋊D71C2311yescharacteristic
338(C22⋊D71)⋊C4—21no—
339(C22⋊D71)⋊C4—21no—
340(C22⋊D71)⋊C4—21no—
341(C22⋊D71)⋊C4—21no—
342(C22⋊D71)⋊C4—21no—
343#14556087C2311yescharacteristic
344#14556087C2311yescharacteristic
345#14556087C2311yescharacteristic
346#14556086—21no—
347#14556086—21no—
348#14556086—21no—
349#14556086C2311yescharacteristic
350#14556086C2311yescharacteristic
351#14556086C2311yescharacteristic
352#14556086C2311yescharacteristic
353#14556086C2311yescharacteristic
354#14556086C2311yescharacteristic
355#14556085—21no—
356#14556085—21no—
357#14556085—21no—
358#14556085—21no—
359#14556085—21no—
360#14556085C2311yescharacteristic
361#14556084—21no—
362#14556084—21no—
363C2×C4⋊Dic71C2311yescharacteristic
364C4⋊C4×D71—21no—
365C4⋊C4×D71C2311yescharacteristic
366C4⋊C4×D71C2311yescharacteristic
367C4⋊C4×D71C2311yescharacteristic
368C4⋊C4×D71C2311yescharacteristic
369C4⋊C4×D71C2311yescharacteristic
370C4⋊C4×D71C2311yescharacteristic
371C4⋊C4×D71C2311yescharacteristic
372C4⋊C4×D71C2311yescharacteristic
373C2×(C2×D71)⋊C4—21no—
374C22⋊C4×D71—21no—
375C22⋊C4×D71—21no—
376C22⋊C4×D71—21no—
377C22⋊C4×D71—21no—
378C22⋊C4×D71—21no—
379C42×D71—21no—
380C42×D71—21no—
381#14556062C2311yescharacteristic
382#14556062C2311yescharacteristic
383#14556062C2311yescharacteristic
384#14556062C2311yescharacteristic
385#14556061C2311yescharacteristic
386#14556061C2311yescharacteristic
387#14556061C2311yescharacteristic
388#14556061C2311yescharacteristic
389#14556061C2311yescharacteristic
390#14556061C2311yescharacteristic
391#14556061C2311yescharacteristic
392#14556061C2311yescharacteristic
393#14556060C2311yescharacteristic
394#14556060C2311yescharacteristic
395#14556060C2311yescharacteristic
396#14556060C2311yescharacteristic
397#14556060C2311yescharacteristic
398#14556059C2311yescharacteristic
399#14556059C2311yescharacteristic
400#14556059C2311yescharacteristic
401#14556059C2311yescharacteristic
402#14556059C2311yescharacteristic
403#14556059C2311yescharacteristic
404#14556059C2311yescharacteristic
405#14556059C2311yescharacteristic
406#14556059C2311yescharacteristic
407#14556059C2311yescharacteristic
408C4⋊(C71⋊C8)C2311yescharacteristic
409Dic71⋊C8C2311yescharacteristic
410Dic71⋊C8C2311yescharacteristic
411#14556053C2311yescharacteristic
412#14556053C2311yescharacteristic
413#14556053C2311yescharacteristic
414#14556052C2311yescharacteristic
415#14556052C2311yescharacteristic
416#14556052C2311yescharacteristic
417#14556051C2311yescharacteristic
418#14556051C2311yescharacteristic
419#14556051C2311yescharacteristic
420#14556050C2311yescharacteristic
421#14556050C2311yescharacteristic
422#14556050C2311yescharacteristic
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic
425#14556049C2311yescharacteristic
426#14556048C2311yescharacteristic
427#14556048C2311yescharacteristic
428#14556048C2311yescharacteristic
429C22⋊(C71⋊C8)C2311yescharacteristic
430C22⋊(C71⋊C8)C2311yescharacteristic
431(C2×D71)⋊C8C2311yescharacteristic
432(C2×D71)⋊C8C2311yescharacteristic
433(C2×D71)⋊C8C2311yescharacteristic
434(C2×D71)⋊C8C2311yescharacteristic
435#14556038C2311yescharacteristic
436C4×C71⋊C8C2311yescharacteristic
437C8×Dic71C2311yescharacteristic
438C2×SD16×C71C2311yescharacteristic
439C2×M16×C71C2311yescharacteristic
440C22×C8×C71C2311yescharacteristic
441C4⋊Q8×C71C2311yescharacteristic
442#126×C71—21no—
443#125×C71—21no—
444#125×C71C2311yescharacteristic
445#124×C71—21no—
446#124×C71—21no—
447#123×C71—21no—
448C22⋊Q8×C71C2311yescharacteristic
449C22⋊Q8×C71C2311yescharacteristic
450#121×C71—21no—
451#121×C71C2311yescharacteristic
452#121×C71C2311yescharacteristic
453C4×Q8×C71C2311yescharacteristic
454C4×D4×C71C2311yescharacteristic
455C4×D4×C71C2311yescharacteristic
456#117×C71—21no—
457#117×C71—21no—
458#117×C71C2311yescharacteristic
459#117×C71C2311yescharacteristic
460#117×C71C2311yescharacteristic
461C2×C4⋊C4×C71C2311yescharacteristic
462#107×C71C2311yescharacteristic
463#107×C71C2311yescharacteristic
464#107×C71C2311yescharacteristic
465#107×C71C2311yescharacteristic
466#106×C71C2311yescharacteristic
467#106×C71C2311yescharacteristic
468#106×C71C2311yescharacteristic
469#106×C71C2311yescharacteristic
470#106×C71C2311yescharacteristic
471C4⋊C8×C71C2311yescharacteristic
472#103×C71C2311yescharacteristic
473#103×C71C2311yescharacteristic
474#103×C71C2311yescharacteristic
475#102×C71C2311yescharacteristic
476#102×C71C2311yescharacteristic
477#102×C71C2311yescharacteristic
478C22⋊C8×C71C2311yescharacteristic
479C22⋊C8×C71C2311yescharacteristic
480#97×C71C2311yescharacteristic
481C23×D71—21no—
482C23×D71C2×D411yescharacteristic
483#11765866—82no—
484#11765865—22no—
485#11765865—22no—
486#11765864—82no—
487C2×Dic142—21no—
488C2×Dic142—21no—
489C2×Dic142—21no—
490C2×Dic142—21no—
491C2×Dic142C2×D411yescharacteristic
492C2×Dic142C2411yescharacteristic
493Q8×D71—22no—
494Q8×D71—22no—
495C2×D284—21no—
496C2×D284—21no—
497C2×D284C2×D411yescharacteristic
498C2×D284C2×D411yescharacteristic
499C2×D284C2411yescharacteristic
500C2×C22⋊D71—21no—
501C2×C22⋊D71—21no—
502C2×C22⋊D71—21no—
503C2×C22⋊D71—21no—
504C2×C22⋊D71—21no—
505C2×C22⋊D71C2×D411yescharacteristic
506C2×C22⋊D71C2×D411yescharacteristic
507C2×C22⋊D71C2×D411yescharacteristic
508C2×C22⋊D71C2×D411yescharacteristic
509D4×D71—22no—
510D4×D71—22no—
511D4×D71—82no—
512C22×Dic71—21no—
513C22×Dic71—21no—
514C22×Dic71C2×D411yescharacteristic
515C2×C4×D71—22no—
516C2×C4×D71—22no—
517C2×C4×D71—21no—
518C2×C4×D71—21no—
519C2×C4×D71—21no—
520C2×C4×D71—21no—
521C2×C4×D71—21no—
522C2×C4×D71—21no—
523C2×C4×D71—21no—
524C2×C4×D71—21no—
525C2×C4×D71—21no—
526C2×C4×D71—21no—
527C2×C4×D71—21no—
528C2×C4×D71C2×D411yescharacteristic
529C2×C4×D71C2×D411yescharacteristic
530C2×C4×D71C2411yescharacteristic
531C2×C4×D71C2411yescharacteristic
532C2×C4×D71C2411yescharacteristic
533#11765854—22no—
534#11765853—22no—
535#11765852—22no—
536#11765848—22no—
537#11765848—22no—
538#11765848—22no—
539C2×C71⋊C8—22no—
540C2×C71⋊C8—22no—
541C2×C71⋊C8C2411yescharacteristic
542C2×C71⋊C8C2411yescharacteristic
543C2×C71⋊C8C2411yescharacteristic
544C2×C71⋊C8C2411yescharacteristic
545C8×D71—22no—
546C8×D71—22no—
547C8×D71—22no—
548C8×D71—22no—
549C8×D71#4114yescomplemented
550C4⋊Dic71—21no—
551C4⋊Dic71—21no—
552C4⋊Dic71—21no—
553C4⋊Dic71—21no—
554C4⋊Dic71—21no—
555C4⋊Dic71—21no—
556C4⋊Dic71—21no—
557C4⋊Dic71C2×D411yescharacteristic
558C4⋊Dic71C2411yescharacteristic
559C4⋊Dic71C2411yescharacteristic
560C4⋊Dic71C2411yescharacteristic
561C4⋊Dic71C2411yescharacteristic
562C4⋊Dic71C2411yescharacteristic
563C4⋊Dic71C2411yescharacteristic
564Dic71⋊C4—21no—
565Dic71⋊C4—21no—
566Dic71⋊C4—21no—
567Dic71⋊C4—21no—
568Dic71⋊C4—21no—
569Dic71⋊C4—21no—
570Dic71⋊C4—21no—
571Dic71⋊C4—21no—
572Dic71⋊C4—21no—
573Dic71⋊C4—21no—
574Dic71⋊C4—21no—
575Dic71⋊C4—21no—
576Dic71⋊C4—21no—
577Dic71⋊C4—21no—
578Dic71⋊C4—21no—
579Dic71⋊C4—21no—
580Dic71⋊C4—21no—
581Dic71⋊C4—21no—
582Dic71⋊C4—21no—
583Dic71⋊C4—21no—
584Dic71⋊C4C2×D411yescharacteristic
585Dic71⋊C4C2×D411yescharacteristic
586Dic71⋊C4C2×D411yescharacteristic
587Dic71⋊C4C2×D411yescharacteristic
588C22⋊Dic71—21no—
589C22⋊Dic71—21no—
590C22⋊Dic71—21no—
591C22⋊Dic71—21no—
592C22⋊Dic71—21no—
593C22⋊Dic71—21no—
594C22⋊Dic71—21no—
595C22⋊Dic71—21no—
596C22⋊Dic71C2×D411yescharacteristic
597C22⋊Dic71C2×D411yescharacteristic
598(C2×D71)⋊C4—21no—
599(C2×D71)⋊C4—21no—
600(C2×D71)⋊C4—21no—
601(C2×D71)⋊C4—21no—
602(C2×D71)⋊C4—21no—
603(C2×D71)⋊C4—21no—
604(C2×D71)⋊C4—21no—
605(C2×D71)⋊C4—21no—
606(C2×D71)⋊C4—21no—
607(C2×D71)⋊C4—21no—
608(C2×D71)⋊C4—21no—
609(C2×D71)⋊C4—21no—
610(C2×D71)⋊C4—21no—
611(C2×D71)⋊C4—21no—
612(C2×D71)⋊C4—21no—
613(C2×D71)⋊C4—21no—
614(C2×D71)⋊C4C2×D411yescharacteristic
615(C2×D71)⋊C4C2×D411yescharacteristic
616(C2×D71)⋊C4C2×D411yescharacteristic
617(C2×D71)⋊C4C2×D411yescharacteristic
618(C2×D71)⋊C4C2×D411yescharacteristic
619(C2×D71)⋊C4C2×D411yescharacteristic
620C4×Dic71—21no—
621C4×Dic71—21no—
622C4×Dic71—21no—
623C4×Dic71—21no—
624C4×Dic71—21no—
625C4×Dic71—21no—
626C4×Dic71—21no—
627C4×Dic71—21no—
628C4×Dic71—21no—
629C4×Dic71—21no—
630C4×Dic71—21no—
631C4×Dic71—21no—
632C4×Dic71C2411yescharacteristic
633C2×Q8×C71—21no—
634C2×Q8×C71C2411yescharacteristic
635C2×D4×C71—21no—
636C2×D4×C71—21no—
637C2×D4×C71C2×D411yescharacteristic
638C2×D4×C71C2411yescharacteristic
639C22×C4×C71—21no—
640C22×C4×C71—21no—
641C22×C4×C71C2411yescharacteristic
642C22×C4×C71C2411yescharacteristic
643SD16×C71—22no—
644M16×C71—22no—
645C2×C8×C71—22no—
646C2×C8×C71C2411yescharacteristic
647C2×C8×C71C2411yescharacteristic
648C2×C8×C71C2411yescharacteristic
649C2×C8×C71C2411yescharacteristic
650C4⋊C4×C71—21no—
651C4⋊C4×C71—21no—
652C4⋊C4×C71—21no—
653C4⋊C4×C71—21no—
654C4⋊C4×C71—21no—
655C4⋊C4×C71—21no—
656C4⋊C4×C71—21no—
657C4⋊C4×C71C2×D411yescharacteristic
658C4⋊C4×C71C2411yescharacteristic
659C4⋊C4×C71C2411yescharacteristic
660C4⋊C4×C71C2411yescharacteristic
661C4⋊C4×C71C2411yescharacteristic
662C4⋊C4×C71C2411yescharacteristic
663C4⋊C4×C71C2411yescharacteristic
664C22⋊C4×C71—21no—
665C22⋊C4×C71—21no—
666C22⋊C4×C71—21no—
667C22⋊C4×C71—21no—
668C22⋊C4×C71—21no—
669C22⋊C4×C71—21no—
670C22⋊C4×C71—21no—
671C22⋊C4×C71—21no—
672C22⋊C4×C71C2×D411yescharacteristic
673C22⋊C4×C71C2×D411yescharacteristic
674C42×C71—21no—
675C42×C71—21no—
676C42×C71—21no—
677C42×C71—21no—
678C42×C71C2411yescharacteristic
679C23×C71—21no—
680C23×C71C22×D411yescharacteristic
681C23×C71C22×D411yescharacteristic
682C22×D71—22no—
683C22×D71—22no—
684C22×D71—21no—
685C22×D71—41no—
686C22×D71—42no—
687C22×D71—81no—
688C22×D71—81no—
689C22×D71C22×D411yescharacteristic
690C22×D71C22×D411yescharacteristic
691C22×D71C22×D411yescharacteristic
692Q8×C71—21no—
693Q8×C71—21no—
694Q8×C71—81no—
695D4×C71—21no—
696D4×C71—21no—
697D4×C71—41no—
698D4×C71—81no—
699D4×C71—81no—
700C2×C4×C71—21no—
701C2×C4×C71—21no—
702C2×C4×C71—21no—
703C2×C4×C71—21no—
704C2×C4×C71—21no—
705C2×C4×C71—21no—
706C2×C4×C71—21no—
707C2×C4×C71—21no—
708C2×C4×C71—21no—
709C2×C4×C71—21no—
710C2×C4×C71—21no—
711C2×C4×C71—81no—
712C2×C4×C71—81no—
713C2×C4×C71C22×D411yescharacteristic
714C2×C4×C71C22×D411yescharacteristic
715C2×C4×C71C22×D411yescharacteristic
716C2×C4×C71C22×D411yescharacteristic
717C2×C4×C71C2511yescharacteristic
718C22⋊D71—22no—
719C22⋊D71—22no—
720C22⋊D71—22no—
721C22⋊D71—41no—
722C22⋊D71—42no—
723C22⋊D71—42no—
724C22⋊D71—81no—
725C22⋊D71—81no—
726C22⋊D71—81no—
727C2×Dic71—22no—
728C2×Dic71—21no—
729C2×Dic71—21no—
730C2×Dic71—21no—
731C2×Dic71—21no—
732C2×Dic71—21no—
733C2×Dic71—21no—
734C2×Dic71—21no—
735C2×Dic71—81no—
736C2×Dic71—81no—
737C2×Dic71C22×D411yescharacteristic
738C2×Dic71C22×D411yescharacteristic
739C2×Dic71C22×D411yescharacteristic
740C2×Dic71C22×D411yescharacteristic
741C2×Dic71C22×D411yescharacteristic
742D284—22no—
743D284—22no—
744D284—21no—
745D284—21no—
746D284—42no—
747D284—81no—
748C4×D71—22no—
749C4×D71—21no—
750C4×D71—21no—
751C4×D71—21no—
752C4×D71—21no—
753C4×D71—22no—
754C4×D71—42no—
755C4×D71—42no—
756C4×D71—42no—
757C4×D71—81no—
758C4×D71—81no—
759C4×D71—81no—
760C4×D71—81no—
761C4×D71—81no—
762C4×D71—81no—
763C4×D71—81no—
764C4×D71—81no—
765C4×D71C2×#4112yes—
766C4×D712−1+412yes—
767Dic142—22no—
768Dic142—21no—
769Dic142—21no—
770Dic142—42no—
771Dic142—81no—
772Dic142—81no—
773Dic142—81no—
774C8×C71—21no—
775C8×C71—21no—
776C8×C71—21no—
777C8×C71C2×#4112yes—
778C71⋊C8—21no—
779C71⋊C8—21no—
780C71⋊C8—21no—
781C71⋊C8C2×#4112yes—
782C22×C71—21no—
783C22×C71—21no—
784C22×C71—21no—
785C22×C71—21no—
786C22×C71—21no—
787C22×C71—21no—
788C22×C71—41no—
789C22×C71—41no—
790C22×C71—41no—
791C22×C71C23×D411yescharacteristic
792C2×D71—21no—
793C2×D71—21no—
794C2×D71—21no—
795C2×D71—21no—
796C2×D71—21no—
797C2×D71—21no—
798C2×D71—21no—
799C2×D71—44no—
800C2×D71—41no—
801C2×D71—41no—
802C2×D71—41no—
803C2×D71—162no—
804C2×D71#54712yes—
805C2×D71#57712yes—
806C4×C71—21no—
807C4×C71—21no—
808C4×C71—21no—
809C4×C71—21no—
810C4×C71—41no—
811C4×C71—41no—
812C4×C71—41no—
813C4×C71—41no—
814C4×C71—41no—
815C4×C71—41no—
816C4×C71—41no—
817C4×C71C22×#4111yescharacteristic
818C4×C71C2×2−1+411yescharacteristic
819Dic71—21no—
820Dic71—21no—
821Dic71—21no—
822Dic71—21no—
823Dic71—41no—
824Dic71—41no—
825Dic71—41no—
826Dic71—41no—
827Dic71—41no—
828Dic71—41no—
829Dic71—41no—
830Dic71#54712yes—
831#61263—711nomaximal, Sylow
832C2×C71—41no—
833C2×C71—41no—
834C2×C71—81no—
835C2×C71C2×#54711yescharacteristic
836C2×C71C2×#57711yescharacteristic
837C2×C71#358411yescharacteristic
838D71—22no—
839D71—22no—
840D71—41no—
841D71—81no—
842#3495—711no—
843#3494—711no—
844#3350—711no—
845#3350—711no—
846#3348—711no—
847#3348D7111yescharacteristic, complemented
848#3346—711no—
849#3346—711no—
850#3343—711no—
851#3343—711no—
852#3340—711no—
853#3340—711no—
854#3337—711no—
855#3337—711no—
856#3337—711no—
857#3337—711no—
858#3335—711no—
859#3335—711no—
860#3163—711no—
861#3097—711no—
862#3096—711no—
863#3095—711no—
864#3094—711no—
865#3082—711no—
866#3081—711no—
867#3057—711no—
868C2×#465—711no—
869#2949—711no—
870#2929—711no—
871#2912—711no—
872C2×#427—711no—
873C71#6126311yescharacteristic, complemented, Sylow
874C22×SD16—711no—
875C2×#131—711no—
876C23×C8—711no—
877#556—711no—
878#556—711no—
879#555—711no—
880#555C2×D7111yescharacteristic
881#554—711no—
882#554—711no—
883#553—711no—
884#553—711no—
885#553—711no—
886#553—711no—
887#552—711no—
888#552—711no—
889#552—711no—
890#552—1421no—
891#552—1421no—
892#552C2×D7111yescharacteristic, complemented
893#551—1421no—
894#551—1421no—
895#551—1421no—
896#551—1421no—
897#547—711no—
898#547—711no—
899#546—1421no—
900#546—1421no—
901#544—711no—
902#544—711no—
903#542—1421no—
904#542—1421no—
905#541—1421no—
906#540—1421no—
907#536—711no—
908#535—711no—
909#533—1421no—
910#532—1421no—
911#529—1421no—
912#529—1421no—
913#525—711no—
914C2×C22⋊Q8—711no—
915C2×#121—711no—
916#520—711no—
917#520—711no—
918#519—711no—
919#518—711no—
920C2×#117—711no—
921C2×#117—711no—
922#501—711no—
923#501—711no—
924#501—711no—
925#501C2×D7111yescharacteristic, complemented
926#499—711no—
927#499—711no—
928#498—711no—
929#498—711no—
930#485—711no—
931#485—711no—
932#485—711no—
933#485—711no—
934#485—711no—
935#485—711no—
936#485C2×D7111yescharacteristic, complemented
937#485C2×D7111yescharacteristic, complemented
938#484—711no—
939#484—711no—
940#484—711no—
941#484—711no—
942#483—711no—
943#483—711no—
944#483—711no—
945#483—711no—
946#482—711no—
947#482—711no—
948#482—711no—
949#482—711no—
950#482—711no—
951#482—711no—
952#482—711no—
953#482C2×D7111yescharacteristic
954#481—711no—
955#481—711no—
956#481—711no—
957#481C2×D7111yescharacteristic, complemented
958#480—711no—
959#480—711no—
960#480—711no—
961#480—711no—
962#479—711no—
963#479—711no—
964#479—711no—
965#479—711no—
966#478—711no—
967#478—711no—
968#478—711no—
969#478C2×D7111yescharacteristic, complemented
970#477—711no—
971#477—711no—
972#476—711no—
973#476—711no—
974#475—711no—
975#475C2×D7111yescharacteristic, complemented
976#474—711no—
977#474—711no—
978#468—711no—
979#468—711no—
980#468—711no—
981#468C2×D7111yescharacteristic, complemented
982#465—711no—
983#465—711no—
984#465—711no—
985#465—711no—
986#465—711no—
987#465—711no—
988#465—711no—
989#465—711no—
990#465—711no—
991#465—711no—
992#465—711no—
993#465C2×D7111yescharacteristic
994#440—711no—
995#440—711no—
996#440—711no—
997#440C2×D7111yescharacteristic, complemented
998C4×SD16—711no—
999C4×SD16—711no—
1000C4×SD16—711no—
1001C4×SD16—711no—
1002#435—711no—
1003#435—711no—
1004#435—711no—
1005#435C2×D7111yescharacteristic, complemented
1006C8×D4—711no—
1007C8×D4—711no—
1008C8×D4—711no—
1009C8×D4—711no—
1010#428—711no—
1011#428—711no—
1012#428—711no—
1013#428—711no—
1014#428—711no—
1015#428—711no—
1016#428—711no—
1017#428C2×D7111yescharacteristic, complemented
1018#427—711no—
1019#427—711no—
1020#427—711no—
1021#427—711no—
1022#427—711no—
1023#427—711no—
1024#427—711no—
1025#427—711no—
1026#427—711no—
1027#427C2×D7111yescharacteristic, complemented
1028C2×#107—711no—
1029C2×#107—711no—
1030C2×#106—711no—
1031C2×#106—711no—
1032C2×#106—711no—
1033C2×#106—711no—
1034C2×#106—711no—
1035#424—711no—
1036#419—711no—
1037#419—711no—
1038#418—711no—
1039#418—711no—
1040C2×#103—711no—
1041C2×#102—711no—
1042#408—711no—
1043#407—711no—
1044#405—711no—
1045C2×#41—711no—
1046C2×#41—1421no—
1047C2×#41—1421no—
1048C22×Q8—711no—
1049C22×D4—711no—
1050C22×D4—1421no—
1051C23×C4—711no—
1052C2×SD16—711no—
1053C2×SD16—711no—
1054C2×SD16—711no—
1055C2×SD16—1424no—
1056C2×SD16C22×D7111yescharacteristic
1057#131—1424no—
1058C2×M16—711no—
1059C2×M16—711no—
1060C2×M16—711no—
1061C2×M16C22×D7111yescharacteristic
1062C22×C8—711no—
1063C22×C8—711no—
1064C22×C8—711no—
1065C22×C8—711no—
1066C22×C8—711no—
1067C22×C8—711no—
1068C22×C8—711no—
1069C22×C8—1424no—
1070C22×C8C22×D7111yescharacteristic
1071C4⋊Q8—711no—
1072C4⋊Q8—711no—
1073C4⋊Q8—711no—
1074C4⋊Q8—1421no—
1075C4⋊Q8—1421no—
1076C4⋊Q8—1421no—
1077C4⋊Q8C22×D7111yescharacteristic
1078#127—1421no—
1079#126—21no—
1080#126—1421no—
1081#126—1421no—
1082#126—1421no—
1083#126—1421no—
1084#126—1421no—
1085#126—1421no—
1086#126—1421no—
1087#126—1421no—
1088#126—1421no—
1089#126—1421no—
1090#126—1421no—
1091#125—21no—
1092#125—711no—
1093#125—711no—
1094#125—711no—
1095#125—1421no—
1096#125—1421no—
1097#125—1421no—
1098#125—1421no—
1099#125—1421no—
1100#125—1421no—
1101#125—1421no—
1102#125C22×D7111yescharacteristic
1103#124—21no—
1104#124—21no—
1105#124—1421no—
1106#124—1421no—
1107#124—1421no—
1108#124—1421no—
1109#124—1421no—
1110#124—1421no—
1111#123—21no—
1112#123—711no—
1113#123—711no—
1114#123—1421no—
1115#123—1421no—
1116#123—1421no—
1117#123—1421no—
1118#123—1421no—
1119#123—1421no—
1120#123—1421no—
1121#123—1421no—
1122#123—1421no—
1123#123—1421no—
1124#123—1421no—
1125#123—1421no—
1126#123—1421no—
1127C22⋊Q8—711no—
1128C22⋊Q8—711no—
1129C22⋊Q8—711no—
1130C22⋊Q8—711no—
1131C22⋊Q8—711no—
1132C22⋊Q8—711no—
1133C22⋊Q8—711no—
1134C22⋊Q8—711no—
1135C22⋊Q8—1421no—
1136C22⋊Q8—1421no—
1137C22⋊Q8—1421no—
1138C22⋊Q8—1421no—
1139C22⋊Q8—1421no—
1140C22⋊Q8—1421no—
1141C22⋊Q8—1421no—
1142C22⋊Q8—1421no—
1143C22⋊Q8—1421no—
1144C22⋊Q8—1421no—
1145C22⋊Q8—1421no—
1146C22⋊Q8—1421no—
1147C22⋊Q8C22×D7111yescharacteristic
1148C22⋊Q8C22×D7111yescharacteristic
1149#121—21no—
1150#121—711no—
1151#121—711no—
1152#121—711no—
1153#121—711no—
1154#121—711no—
1155#121—711no—
1156#121—711no—
1157#121—711no—
1158#121—1421no—
1159#121—1421no—
1160#121—1421no—
1161#121—1421no—
1162#121—1421no—
1163#121—1421no—
1164#121—1421no—
1165#121C22×D7111yescharacteristic
1166#121C22×D7111yescharacteristic
1167#120—711no—
1168#120—711no—
1169#120—1421no—
1170#120—1421no—
1171C4×Q8—711no—
1172C4×Q8—711no—
1173C4×Q8—711no—
1174C4×Q8—1421no—
1175C4×Q8—1421no—
1176C4×Q8—1421no—
1177C4×Q8—1421no—
1178C4×Q8—1421no—
1179C4×Q8—1421no—
1180C4×Q8C22×D7111yescharacteristic
1181C4×D4—711no—
1182C4×D4—711no—
1183C4×D4—711no—
1184C4×D4—711no—
1185C4×D4—711no—
1186C4×D4—711no—
1187C4×D4—1421no—
1188C4×D4—1421no—
1189C4×D4—1421no—
1190C4×D4—1421no—
1191C4×D4—1421no—
1192C4×D4—1421no—
1193C4×D4—1421no—
1194C4×D4—1421no—
1195C4×D4—1421no—
1196C4×D4—1421no—
1197C4×D4—1421no—
1198C4×D4—1421no—
1199C4×D4—1421no—
1200C4×D4—1421no—
1201C4×D4C22×D7111yescharacteristic
1202C4×D4C22×D7111yescharacteristic
1203#117—21no—
1204#117—21no—
1205#117—711no—
1206#117—711no—
1207#117—711no—
1208#117—711no—
1209#117—711no—
1210#117—711no—
1211#117—711no—
1212#117—711no—
1213#117—711no—
1214#117—711no—
1215#117—1421no—
1216#117—1421no—
1217#117—1421no—
1218#117—1421no—
1219#117—1421no—
1220#117—1421no—
1221#117—1421no—
1222#117—1421no—
1223#117—1421no—
1224#117—1421no—
1225#117C22×D7111yescharacteristic
1226#117C22×D7111yescharacteristic
1227#117C22×D7111yescharacteristic
1228C2×C4⋊C4—711no—
1229C2×C4⋊C4—711no—
1230C2×C4⋊C4—711no—
1231C2×C4⋊C4—711no—
1232C2×C4⋊C4—711no—
1233C2×C4⋊C4—711no—
1234C2×C4⋊C4—711no—
1235C2×C4⋊C4—711no—
1236C2×C4⋊C4—711no—
1237C2×C4⋊C4—1421no—
1238C2×C4⋊C4C22×D7111yescharacteristic
1239C2×C22⋊C4—1421no—
1240C2×C22⋊C4—1421no—
1241C2×C22⋊C4—1421no—
1242C2×C22⋊C4—1421no—
1243C2×C22⋊C4—1421no—
1244C2×C22⋊C4—1421no—
1245C2×C42—1421no—
1246C2×C42—1421no—
1247#107—711no—
1248#107—711no—
1249#107—711no—
1250#107—711no—
1251#107—711no—
1252#107—711no—
1253#107—711no—
1254#107—711no—
1255#107—711no—
1256#107—711no—
1257#107—711no—
1258#107—711no—
1259#107C22×D7111yescharacteristic
1260#107C22×D7111yescharacteristic
1261#107C22×D7111yescharacteristic
1262#107C22×D7111yescharacteristic
1263#106—711no—
1264#106—711no—
1265#106—711no—
1266#106—711no—
1267#106—711no—
1268#106—711no—
1269#106—711no—
1270#106—711no—
1271#106—711no—
1272#106—711no—
1273#106—711no—
1274#106—711no—
1275#106—711no—
1276#106—711no—
1277#106—711no—
1278#106C22×D7111yescharacteristic
1279#106C22×D7111yescharacteristic
1280#106C22×D7111yescharacteristic
1281#106C22×D7111yescharacteristic
1282#106C22×D7111yescharacteristic
1283C4⋊C8—711no—
1284C4⋊C8—711no—
1285C4⋊C8—711no—
1286C4⋊C8C22×D7111yescharacteristic
1287#103—711no—
1288#103—711no—
1289#103—711no—
1290#103—711no—
1291#103—711no—
1292#103—711no—
1293#103—711no—
1294#103—711no—
1295#103—711no—
1296#103C22×D7111yescharacteristic
1297#103C22×D7111yescharacteristic
1298#103C22×D7111yescharacteristic
1299#102—711no—
1300#102—711no—
1301#102—711no—
1302#102—711no—
1303#102—711no—
1304#102—711no—
1305#102—711no—
1306#102—711no—
1307#102—711no—
1308#102C22×D7111yescharacteristic
1309#102C22×D7111yescharacteristic
1310#102C22×D7111yescharacteristic
1311C22⋊C8—711no—
1312C22⋊C8—711no—
1313C22⋊C8—711no—
1314C22⋊C8—711no—
1315C22⋊C8—711no—
1316C22⋊C8—711no—
1317C22⋊C8C22×D7111yescharacteristic
1318C22⋊C8C22×D7111yescharacteristic
1319#97—711no—
1320#97C22×D7111yescharacteristic
1321C4×C8—711no—
1322C4×C8—711no—
1323C24—711no—
1324C24—1421no—
1325#41—5682no—
1326#41—5682no—
1327#41—1422no—
1328#41—1422no—
1329C2×Q8—21no—
1330C2×Q8—711no—
1331C2×Q8—711no—
1332C2×Q8—1421no—
1333C2×Q8—1421no—
1334C2×Q8—1421no—
1335C2×Q8—1422no—
1336C2×Q8—1422no—
1337C2×Q8—1421no—
1338C2×Q8C23×D7111yescharacteristic
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—5682no—
1342C2×D4—711no—
1343C2×D4—711no—
1344C2×D4—711no—
1345C2×D4—711no—
1346C2×D4—711no—
1347C2×D4—711no—
1348C2×D4—711no—
1349C2×D4—1421no—
1350C2×D4—1421no—
1351C2×D4—1422no—
1352C2×D4—1422no—
1353C2×D4—1421no—
1354C2×D4—1421no—
1355C2×D4—1421no—
1356C2×D4—1421no—
1357C2×D4—1421no—
1358C2×D4D4×D7111yescharacteristic
1359C2×D4C23×D7111yescharacteristic
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—711no—
1363C22×C4—711no—
1364C22×C4—711no—
1365C22×C4—711no—
1366C22×C4—711no—
1367C22×C4—711no—
1368C22×C4—1421no—
1369C22×C4—1421no—
1370C22×C4—1421no—
1371C22×C4—1421no—
1372C22×C4—1421no—
1373C22×C4—1421no—
1374C22×C4—1421no—
1375C22×C4—1421no—
1376C22×C4—1421no—
1377C22×C4—1421no—
1378C22×C4—1422no—
1379C22×C4—1422no—
1380C22×C4—1421no—
1381C22×C4—1421no—
1382C22×C4—1421no—
1383C22×C4C23×D7111yescharacteristic
1384C22×C4C23×D7111yescharacteristic
1385SD16—22no—
1386SD16—1422no—
1387SD16—1422no—
1388SD16—1422no—
1389M16—22no—
1390M16—1422no—
1391M16—1422no—
1392M16—1422no—
1393C2×C8—22no—
1394C2×C8—711no—
1395C2×C8—714no—
1396C2×C8—711no—
1397C2×C8—711no—
1398C2×C8—711no—
1399C2×C8—1422no—
1400C2×C8—1422no—
1401C2×C8—1422no—
1402C2×C8—1422no—
1403C2×C8—1422no—
1404C2×C8—1422no—
1405C2×C8C23×D7111yescharacteristic
1406C2×C8C23×D7111yescharacteristic
1407C2×C8C23×D7111yescharacteristic
1408C2×C8C23×D7111yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—711no—
1417C4⋊C4—711no—
1418C4⋊C4—711no—
1419C4⋊C4—711no—
1420C4⋊C4—711no—
1421C4⋊C4—711no—
1422C4⋊C4—711no—
1423C4⋊C4—711no—
1424C4⋊C4—711no—
1425C4⋊C4—711no—
1426C4⋊C4—711no—
1427C4⋊C4—1421no—
1428C4⋊C4—1421no—
1429C4⋊C4—1421no—
1430C4⋊C4—1421no—
1431C4⋊C4—1421no—
1432C4⋊C4—1421no—
1433C4⋊C4—1421no—
1434C4⋊C4—1421no—
1435C4⋊C4—1421no—
1436C4⋊C4—1421no—
1437C4⋊C4—1421no—
1438C4⋊C4—1421no—
1439C4⋊C4—1421no—
1440C4⋊C4—1421no—
1441C4⋊C4—1421no—
1442C4⋊C4—1421no—
1443C4⋊C4—1421no—
1444C4⋊C4—1421no—
1445C4⋊C4—1421no—
1446C4⋊C4—1421no—
1447C4⋊C4—1421no—
1448C4⋊C4—1421no—
1449C4⋊C4—1421no—
1450C4⋊C4—1421no—
1451C4⋊C4—1421no—
1452C4⋊C4—1421no—
1453C4⋊C4—1421no—
1454C4⋊C4D4×D7111yescharacteristic
1455C4⋊C4C23×D7111yescharacteristic
1456C4⋊C4C23×D7111yescharacteristic
1457C4⋊C4C23×D7111yescharacteristic
1458C4⋊C4C23×D7111yescharacteristic
1459C4⋊C4C23×D7111yescharacteristic
1460C4⋊C4C23×D7111yescharacteristic
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—711no—
1470C22⋊C4—711no—
1471C22⋊C4—711no—
1472C22⋊C4—711no—
1473C22⋊C4—711no—
1474C22⋊C4—711no—
1475C22⋊C4—711no—
1476C22⋊C4—711no—
1477C22⋊C4—1421no—
1478C22⋊C4—1421no—
1479C22⋊C4—1421no—
1480C22⋊C4—1421no—
1481C22⋊C4—1421no—
1482C22⋊C4—1421no—
1483C22⋊C4—1421no—
1484C22⋊C4—1421no—
1485C22⋊C4—1421no—
1486C22⋊C4—1421no—
1487C22⋊C4—1421no—
1488C22⋊C4—1421no—
1489C22⋊C4—1421no—
1490C22⋊C4—1421no—
1491C22⋊C4—1421no—
1492C22⋊C4—1421no—
1493C22⋊C4—1421no—
1494C22⋊C4—1421no—
1495C22⋊C4—1421no—
1496C22⋊C4—1421no—
1497C22⋊C4—1421no—
1498C22⋊C4—1421no—
1499C22⋊C4—1421no—
1500C22⋊C4—1421no—
1501C22⋊C4D4×D7111yescharacteristic
1502C22⋊C4D4×D7111yescharacteristic
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—21no—
1507C42—711no—
1508C42—1421no—
1509C42—1421no—
1510C42—1421no—
1511C42—1421no—
1512C42—1421no—
1513C42—1421no—
1514C42—1421no—
1515C42—1421no—
1516C42—1421no—
1517C42—1421no—
1518C42—1421no—
1519C42—1421no—
1520C42C23×D7111yescharacteristic
1521C23—21no—
1522C23—2841no—
1523C23—2842no—
1524C23—5681no—
1525C23—5681no—
1526C23—711no—
1527C23—711no—
1528C23—711no—
1529C23—1422no—
1530C23—1422no—
1531C23—1421no—
1532C23C2×D4×D7111yescharacteristic
1533C23C2×D4×D7111yescharacteristic
1534Q8—21no—
1535Q8—21no—
1536Q8—81no—
1537Q8—2842no—
1538Q8—5681no—
1539Q8—5681no—
1540Q8—5681no—
1541Q8—1422no—
1542Q8—1421no—
1543Q8—1421no—
1544D4—21no—
1545D4—21no—
1546D4—41no—
1547D4—81no—
1548D4—81no—
1549D4—2842no—
1550D4—2842no—
1551D4—2842no—
1552D4—2841no—
1553D4—5681no—
1554D4—5681no—
1555D4—5681no—
1556D4—5681no—
1557D4—1422no—
1558D4—1422no—
1559D4—1422no—
1560D4—1422no—
1561D4—1422no—
1562D4—1421no—
1563D4—1421no—
1564C2×C4—21no—
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—81no—
1576C2×C4—81no—
1577C2×C4—2842no—
1578C2×C4—2842no—
1579C2×C4—2842no—
1580C2×C4—5681no—
1581C2×C4—5681no—
1582C2×C4—5681no—
1583C2×C4—5681no—
1584C2×C4—5681no—
1585C2×C4—5681no—
1586C2×C4—5681no—
1587C2×C4—5681no—
1588C2×C4—5681no—
1589C2×C4—5681no—
1590C2×C4—711no—
1591C2×C4—712no—
1592C2×C4—712no—
1593C2×C4—711no—
1594C2×C4—711no—
1595C2×C4—711no—
1596C2×C4—711no—
1597C2×C4—1422no—
1598C2×C4—1422no—
1599C2×C4—1421no—
1600C2×C4—1421no—
1601C2×C4—1421no—
1602C2×C4—1421no—
1603C2×C4—1421no—
1604C2×C4—1421no—
1605C2×C4—1421no—
1606C2×C4—1422no—
1607C2×C4—1421no—
1608C2×C4—1421no—
1609C2×C4—1421no—
1610C2×C4—1421no—
1611C2×C4C2×D4×D7111yescharacteristic
1612C2×C4C2×D4×D7111yescharacteristic
1613C2×C4C2×D4×D7111yescharacteristic
1614C2×C4C2×D4×D7111yescharacteristic
1615C2×C4C24×D7111yescharacteristic
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—712no—
1620C8—1421no—
1621C8—1421no—
1622C8—1421no—
1623C8#41×D7112yes—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—21no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—2844no—
1634C22—2841no—
1635C22—2841no—
1636C22—2841no—
1637C22—712no—
1638C22—712no—
1639C22—11362no—
1640C22—1421no—
1641C22—1421no—
1642C22—1421no—
1643C22—1421no—
1644C22—1421no—
1645C22—1421no—
1646C22—1421no—
1647C22C22×D4×D7111yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—2841no—
1660C4—2841no—
1661C4—2841no—
1662C4—2841no—
1663C4—2841no—
1664C4—2841no—
1665C4—2841no—
1666C4—712no—
1667C4—1421no—
1668C4—1421no—
1669C4—1421no—
1670C4—1421no—
1671C4C2×#41×D7111yescharacteristic
1672C42−1+4×D7111yescharacteristic
1673C2—41no—
1674C2—41no—
1675C2—81no—
1676C2—2841no—
1677C2—5681no—
1678C2—1422no—
1679C2—1422no—
1680C2#547×D7111yescharacteristic
1681C2#577×D7111yescharacteristic
1682C2#2260311311yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3348C2
socleC22×C71C23×D4
prime radical#22602074C2
hypercenter#3348D71
hypocenterC71#61263
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3348

Complements

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

NH ≅ G/Ntype
1. #22602091C2semidirect
3. #22600891C2semidirect
4. #22600887C2semidirect
5. #22600851C2semidirect
6. #22600830C2semidirect
7. #22600826C2semidirect
8. #22600779C2semidirect
9. #22600775C2semidirect
10. #22600753C2semidirect
11. #22600746C2semidirect
12. #22600726C2semidirect
13. #22600722C2semidirect
14. #22600719C2semidirect
15. #22600712C2semidirect
16. #22600700C2semidirect
17. #22600695C2semidirect
18. #22598867C2semidirect
19. #22598306C2semidirect
20. #22598297C2semidirect
21. #22598287C2semidirect
22. #22598279C2semidirect
23. #22598175C2semidirect
24. #22598170C2semidirect
25. #22597977C2semidirect
26. #465×D71C2semidirect
27. #22597196C2semidirect
28. #22597031C2semidirect
29. #22596934C2semidirect
30. #427×D71C2semidirect
31. C71×#3348C2semidirect
35. #17986720C22semidirect
36. #17986719C22semidirect
38. #17986709C22semidirect
39. #17986704C22semidirect
45. #17986688C22semidirect
46. #17986687C22semidirect
47. #17986683C22semidirect
78. #17986408C22semidirect
79. #17986407C22semidirect
80. #17986406C22semidirect
81. #17986400C22semidirect
82. #17986398C22semidirect
83. #17986396C22semidirect
84. #17986395C22semidirect
85. #17986343C22semidirect
86. #17986341C22semidirect
87. #17986340C22semidirect
88. #17986340C22semidirect
89. #17986338C22semidirect
90. #17986337C22semidirect
91. #17986336C22semidirect
92. #17986336C22semidirect
93. #17986333C22semidirect
94. #17986332C22semidirect
95. #17986331C22semidirect
96. #17986330C22semidirect
97. #17986328C22semidirect
98. #17986328C22semidirect
99. #17986325C22semidirect
101. #17986324C22semidirect
103. #17986322C22semidirect
105. #17986320C22semidirect
107. #17986319C22semidirect
110. #17986312C22semidirect
112. #17986311C22semidirect
113. #17986309C22semidirect
114. #17986307C22semidirect
115. #17986306C22semidirect
116. #17986304C22semidirect
117. #17986301C22semidirect
118. #17986298C22semidirect
119. #17986296C22semidirect
120. #17986292C22semidirect
121. #17986291C22semidirect
122. #17986290C22semidirect
123. #17986287C22semidirect
124. #17986283C22semidirect
125. #17986279C22semidirect
126. #17986278C22semidirect
127. #17986246C22semidirect
128. #17986245C22semidirect
129. #17986242C22semidirect
131. #17986231C22semidirect
133. #17986230C22semidirect
137. #17986227C22semidirect
139. #17986226C22semidirect
141. #17986101C22semidirect
142. #17986100C22semidirect
143. #17986098C22semidirect
144. #17986090C22semidirect
145. C4×#11765852C22semidirect
146. C4×#11765853C22semidirect
147. #17986084C22semidirect
148. #17986072C22semidirect
149. #17986070C22semidirect
150. #17986068C22semidirect
151. D4×C71⋊C8C22semidirect
152. #17986064C22semidirect
153. (C22⋊D71)⋊C8C22semidirect
154. (C22⋊D71)⋊C8C22semidirect
155. #17986041C22semidirect
158. #17986040C22semidirect
161. #17986038C22semidirect
162. #17986037C22semidirect
165. #17986036C22semidirect
166. #17986035C22semidirect
167. #17986035C22semidirect
168. #17986035C22semidirect
171. #107×D71C22semidirect
172. #107×D71C22semidirect
173. C2×#14556059C22semidirect
175. #106×D71C22semidirect
176. #106×D71C22semidirect
177. #106×D71C22semidirect
189. #552×C71C22semidirect
190. #501×C71C22semidirect
191. #485×C71C22semidirect
192. #485×C71C22semidirect
194. #481×C71C22semidirect
195. #478×C71C22semidirect
196. #475×C71C22semidirect
197. #468×C71C22semidirect
199. #440×C71C22semidirect
200. #435×C71C22semidirect
201. #428×C71C22semidirect
202. #427×C71C22semidirect
549. C8×D71#41semidirect
847. #3348D71semidirect
873. C71#61263semidirect
892. #552C2×D71semidirect
925. #501C2×D71semidirect
936. #485C2×D71semidirect
937. #485C2×D71semidirect
957. #481C2×D71semidirect
969. #478C2×D71semidirect
975. #475C2×D71semidirect
981. #468C2×D71semidirect
997. #440C2×D71semidirect
1005. #435C2×D71semidirect
1017. #428C2×D71semidirect
1027. #427C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226020912
#226020742
#226008912
#226008872
#226008512
#226008302
#226008262
#226007792
#226007752
#226007532
#226007462
#226007262
#226007222
#226007192
#226007122
#226007002
#226006952
#225988672
#225983062
#225982972
#225982872
#225982792
#225981752
#225981702
#225979772
#465×D712
#225971962
#225970312
#225969342
#427×D712
C71×#33482
#6126371