Finite Group Databasebeta

← #32865320

Subgroups — #32865320

Order 18176.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22601670C211yesmaximal, characteristic
2#22601541C211yesmaximal, characteristic, complemented
3#22598332C211yesmaximal, characteristic, complemented
4#22598330C211yesmaximal, characteristic, complemented
5#22598326C211yesmaximal, characteristic, complemented
6#22598324C211yesmaximal, characteristic, complemented
7#22598321C211yesmaximal, characteristic, complemented
8#22598319C211yesmaximal, characteristic, complemented
9#22598315C211yesmaximal, characteristic, complemented
10#22598313C211yesmaximal, characteristic, complemented
11#22598308C211yesmaximal, characteristic, complemented
12#22598306C211yesmaximal, characteristic, complemented
13#22598304C211yesmaximal, characteristic, complemented
14#22598302C211yesmaximal, characteristic, complemented
15#22598297C211yesmaximal, characteristic, complemented
16#22598295C211yesmaximal, characteristic, complemented
17#22598293C211yesmaximal, characteristic, complemented
18#22598291C211yesmaximal, characteristic, complemented
19#22598257C211yesmaximal, characteristic, complemented
20#22598257C211yesmaximal, characteristic, complemented
21#22598255C211yesmaximal, characteristic, complemented
22#22598253C211yesmaximal, characteristic, complemented
23#22598251C211yesmaximal, characteristic, complemented
24#22598251C211yesmaximal, characteristic, complemented
25#22598249C211yesmaximal, characteristic, complemented
26#22596928C211yesmaximal, characteristic, complemented
27#427×D71C211yesmaximal, characteristic, complemented
28#22596855C211yesmaximal, characteristic, complemented
29#416×D71C211yesmaximal, characteristic, complemented
30C2×#17985964C211yesmaximal, characteristic, complemented
31C71×#3091C211yesmaximal, characteristic, complemented
32C22×#11765865C2211yescharacteristic
33C2×#41×D71C2211yescharacteristic
34C22×#11765848C2211yescharacteristic
35C22×C8×D71C2211yescharacteristic
36#17986579C2211yescharacteristic
37#17986579C2211yescharacteristic
38#17986578C2211yescharacteristic
39#17986578C2211yescharacteristic
40#17986572C2211yescharacteristic
41#17986572C2211yescharacteristic
42#17986571—21no—
43#17986565C2211yescharacteristic
44#17986565C2211yescharacteristic
45#17986564—21no—
46#17986560—21no—
47#17986559—21no—
48#17986546—21no—
49#17986546—21no—
50#17986511C2211yescharacteristic
51#17986510C2211yescharacteristic
52#17986508—21no—
53#17986508—21no—
54#17986506C2211yescharacteristic
55#17986480C2211yescharacteristic
56#17986480C2211yescharacteristic
57#17986480C2211yescharacteristic, complemented
58#17986480C2211yescharacteristic, complemented
59#17986479C2211yescharacteristic
60#17986479C2211yescharacteristic
61#17986479C2211yescharacteristic, complemented
62#17986479C2211yescharacteristic, complemented
63#17986476—21no—
64#17986473—21no—
65#17986472—21no—
66#17986472—21no—
67C4×#11765865—21no—
68C4×#11765865—21no—
69#17986467—21no—
70#17986467—21no—
71C2×#14556087C2211yescharacteristic, complemented
72#117×D71C2211yescharacteristic
73#117×D71C2211yescharacteristic
74#117×D71C2211yescharacteristic
75#117×D71C2211yescharacteristic, complemented
76#117×D71C2211yescharacteristic, complemented
77#17986343C2211yescharacteristic, complemented
78#17986343C2211yescharacteristic, complemented
79#17986342C2211yescharacteristic, complemented
80#17986342C2211yescharacteristic, complemented
81#17986341C2211yescharacteristic, complemented
82#17986341C2211yescharacteristic, complemented
83#17986340C2211yescharacteristic, complemented
84#17986340C2211yescharacteristic, complemented
85#17986339C2211yescharacteristic, complemented
86#17986339C2211yescharacteristic, complemented
87#17986338C2211yescharacteristic, complemented
88#17986338C2211yescharacteristic, complemented
89#17986337C2211yescharacteristic, complemented
90#17986337C2211yescharacteristic, complemented
91#17986336C2211yescharacteristic, complemented
92#17986336C2211yescharacteristic, complemented
93#17986335C2211yescharacteristic, complemented
94#17986334C2211yescharacteristic, complemented
95#17986333C2211yescharacteristic, complemented
96#17986333C2211yescharacteristic, complemented
97#17986332C2211yescharacteristic, complemented
98#17986331C2211yescharacteristic, complemented
99#17986331C2211yescharacteristic, complemented
100#17986330C2211yescharacteristic, complemented
101#17986329C2211yescharacteristic, complemented
102#17986328C2211yescharacteristic, complemented
103#17986328C2211yescharacteristic, complemented
104#17986327C2211yescharacteristic, complemented
105#17986326C2211yescharacteristic, complemented
106#17986326C2211yescharacteristic, complemented
107#17986325C2211yescharacteristic, complemented
108#17986325C2211yescharacteristic, complemented
109#17986324C2211yescharacteristic, complemented
110#17986324C2211yescharacteristic, complemented
111#17986323C2211yescharacteristic, complemented
112#17986323C2211yescharacteristic, complemented
113#17986322C2211yescharacteristic, complemented
114#17986322C2211yescharacteristic, complemented
115#17986321C2211yescharacteristic, complemented
116#17986321C2211yescharacteristic, complemented
117#17986320C2211yescharacteristic, complemented
118#17986320C2211yescharacteristic, complemented
119#17986319C2211yescharacteristic, complemented
120#17986319C2211yescharacteristic, complemented
121#17986318C2211yescharacteristic, complemented
122#17986317C2211yescharacteristic, complemented
123#17986316C2211yescharacteristic, complemented
124#17986316C2211yescharacteristic, complemented
125#17986315C2211yescharacteristic, complemented
126#17986314C2211yescharacteristic, complemented
127#17986314C2211yescharacteristic, complemented
128#17986313C2211yescharacteristic, complemented
129#17986312C2211yescharacteristic, complemented
130#17986311C2211yescharacteristic, complemented
131#17986311C2211yescharacteristic, complemented
132#17986310C2211yescharacteristic, complemented
133#17986040C2211yescharacteristic, complemented
134#17986040C2211yescharacteristic, complemented
135#17986040C2211yescharacteristic, complemented
136#17986040C2211yescharacteristic, complemented
137#17986038C2211yescharacteristic, complemented
138#17986038C2211yescharacteristic, complemented
139#17986038C2211yescharacteristic, complemented
140#17986038C2211yescharacteristic, complemented
141#17986037C2211yescharacteristic, complemented
142#17986037C2211yescharacteristic, complemented
143#17986036C2211yescharacteristic, complemented
144#17986036C2211yescharacteristic, complemented
145#17986035C2211yescharacteristic, complemented
146#17986035C2211yescharacteristic, complemented
147#17986035C2211yescharacteristic, complemented
148#17986035C2211yescharacteristic, complemented
149#17986034C2211yescharacteristic, complemented
150#17986034C2211yescharacteristic, complemented
151#107×D71C2211yescharacteristic, complemented
152#107×D71C2211yescharacteristic, complemented
153#106×D71C2211yescharacteristic, complemented
154#106×D71C2211yescharacteristic, complemented
155#17986006C2211yescharacteristic, complemented
156#17986006C2211yescharacteristic, complemented
157#17986002C2211yescharacteristic, complemented
158#17986002C2211yescharacteristic, complemented
159#17985999C2211yescharacteristic, complemented
160#17985999C2211yescharacteristic, complemented
161#17985997C2211yescharacteristic, complemented
162#17985997C2211yescharacteristic, complemented
163#17985996C2211yescharacteristic
164#17985996C2211yescharacteristic
165#17985995C2211yescharacteristic
166#17985995C2211yescharacteristic
167#17985994C2211yescharacteristic, complemented
168#17985994C2211yescharacteristic, complemented
169#17985993C2211yescharacteristic
170#17985993C2211yescharacteristic
171#17985992C2211yescharacteristic, complemented
172#17985992C2211yescharacteristic, complemented
173#103×D71C2211yescharacteristic, complemented
174#103×D71C2211yescharacteristic, complemented
175#102×D71C2211yescharacteristic, complemented
176#102×D71C2211yescharacteristic, complemented
177#17985964C2211yescharacteristic
178#17985964C2211yescharacteristic
179#17985964C2211yescharacteristic
180#17985964C2211yescharacteristic
181#17985964C2211yescharacteristic, complemented
182#17985964C2211yescharacteristic, complemented
183#17985964C2211yescharacteristic, complemented
184#17985964C2211yescharacteristic, complemented
185C2×C22⋊(C71⋊C8)C2211yescharacteristic, complemented
186C2×(C2×D71)⋊C8C2211yescharacteristic, complemented
187C2×(C2×D71)⋊C8C2211yescharacteristic, complemented
188#525×C71C2211yescharacteristic
189C2×#117×C71C2211yescharacteristic, complemented
190#485×C71C2211yescharacteristic, complemented
191#485×C71C2211yescharacteristic, complemented
192#484×C71C2211yescharacteristic, complemented
193#483×C71C2211yescharacteristic, complemented
194#482×C71C2211yescharacteristic, complemented
195#482×C71C2211yescharacteristic, complemented
196#481×C71C2211yescharacteristic, complemented
197#480×C71C2211yescharacteristic, complemented
198#427×C71C2211yescharacteristic, complemented
199#427×C71C2211yescharacteristic, complemented
200#416×C71C2211yescharacteristic
201#416×C71C2211yescharacteristic
202C2×C22⋊C8×C71C2211yescharacteristic, complemented
203C2×#11765866C2311yescharacteristic
204C2×#11765865—21no—
205C2×#11765865—24no—
206C2×#11765865—24no—
207C2×#11765865D411yescharacteristic
208C2×#11765865D411yescharacteristic
209C2×#11765865D411yescharacteristic
210C2×#11765865D411yescharacteristic
211C2×#11765865C2311yescharacteristic
212C2×#11765865C2311yescharacteristic
213C2×#11765865C2311yescharacteristic
214C2×#11765865C2311yescharacteristic
215C2×#11765865C2311yescharacteristic
216C2×#11765864—21no—
217C2×#11765864C2311yescharacteristic
218#41×D71—24no—
219#41×D71—24no—
220C22×Dic142D411yescharacteristic
221C2×Q8×D71C2311yescharacteristic
222C22×D284D411yescharacteristic
223C22×C22⋊D71D411yescharacteristic
224C22×C22⋊D71D411yescharacteristic
225C2×D4×D71—21no—
226C2×D4×D71C2311yescharacteristic
227C22×C4×D71—21no—
228C22×C4×D71C2311yescharacteristic
229C22×C4×D71C2311yescharacteristic
230C2×#11765848—24no—
231C2×#11765848C2311yescharacteristic
232C2×#11765848C2311yescharacteristic
233C2×#11765848C2311yescharacteristic
234C2×#11765848C2311yescharacteristic
235C22×C71⋊C8C2311yescharacteristic
236C22×C71⋊C8C2311yescharacteristic
237C2×C8×D71—24no—
238C2×C8×D71C2311yescharacteristic
239C2×C8×D71C2311yescharacteristic
240C2×C8×D71C2311yescharacteristic
241C2×C8×D71C2311yescharacteristic
242#14556127—21no—
243#14556127—21no—
244#14556124—21no—
245#14556124—21no—
246#14556114—21no—
247#14556114—21no—
248#14556114—21no—
249#14556114—21no—
250#14556113—21no—
251#14556113—21no—
252#14556112—21no—
253#14556111—21no—
254#14556110—21no—
255#14556110—21no—
256#14556109—21no—
257#14556108C2311yescharacteristic
258#14556108C2311yescharacteristic
259#14556107C2311yescharacteristic
260#14556107C2311yescharacteristic
261#14556106—21no—
262#14556106—21no—
263#14556105—21no—
264#14556105—21no—
265#14556104C2311yescharacteristic
266#14556104C2311yescharacteristic
267#14556103—21no—
268#14556103—21no—
269#14556103C2311yescharacteristic
270#14556103C2311yescharacteristic
271#14556102C2311yescharacteristic
272#14556102C2311yescharacteristic
273#14556101—21no—
274#14556101—21no—
275#14556101—21no—
276#14556101—21no—
277#14556101—21no—
278#14556101—21no—
279#14556100—21no—
280#14556100—21no—
281#14556099—21no—
282#14556099—21no—
283#14556099C2311yescharacteristic
284#14556099C2311yescharacteristic
285#14556098—21no—
286#14556098—21no—
287#14556098—21no—
288#14556097—21no—
289#14556096—21no—
290#14556096—21no—
291#14556096—21no—
292C4×Dic142—21no—
293C4×Dic142—21no—
294C4×Dic142—21no—
295C4×Dic142—21no—
296#14556093—21no—
297#14556093—21no—
298#14556093—21no—
299#14556093—21no—
300C4×D284—21no—
301C4×D284—21no—
302C4×D284—21no—
303C4×D284—21no—
304C4×D284—21no—
305C4×D284—21no—
306#14556090—21no—
307#14556090—21no—
308#14556090—21no—
309#14556090—21no—
310C4×C22⋊D71—21no—
311C4×C22⋊D71—21no—
312C4×C22⋊D71—21no—
313C4×C22⋊D71—21no—
314C4×C22⋊D71—21no—
315C4×C22⋊D71—21no—
316C4×C22⋊D71—21no—
317C4×C22⋊D71—21no—
318C4×C22⋊D71—21no—
319C4×C22⋊D71—21no—
320C4×C22⋊D71—21no—
321C4×C22⋊D71—21no—
322(C22⋊D71)⋊C4—21no—
323(C22⋊D71)⋊C4—21no—
324(C22⋊D71)⋊C4—21no—
325(C22⋊D71)⋊C4—21no—
326(C22⋊D71)⋊C4—21no—
327(C22⋊D71)⋊C4—21no—
328(C22⋊D71)⋊C4—21no—
329(C22⋊D71)⋊C4—21no—
330#14556087—21no—
331#14556087—21no—
332#14556087C2311yescharacteristic
333#14556087C2311yescharacteristic
334#14556087C2311yescharacteristic
335#14556087C2311yescharacteristic
336#14556087C2311yescharacteristic
337#14556086C2311yescharacteristic
338#14556086C2311yescharacteristic
339#14556086C2311yescharacteristic
340#14556086C2311yescharacteristic
341#14556086C2311yescharacteristic
342#14556086C2311yescharacteristic
343#14556086C2311yescharacteristic
344#14556086C2311yescharacteristic
345#14556086C2311yescharacteristic
346#14556086C2311yescharacteristic
347#14556085—21no—
348#14556085—21no—
349#14556085—21no—
350#14556085—21no—
351#14556085—21no—
352#14556084—21no—
353#14556084—21no—
354#14556084—21no—
355#14556084—21no—
356#14556084—21no—
357C2×C4⋊Dic71C2311yescharacteristic
358C2×C4⋊Dic71C2311yescharacteristic
359C4⋊C4×D71C2311yescharacteristic
360C4⋊C4×D71C2311yescharacteristic
361C4⋊C4×D71C2311yescharacteristic
362C4⋊C4×D71C2311yescharacteristic
363C4⋊C4×D71C2311yescharacteristic
364C4⋊C4×D71C2311yescharacteristic
365C4⋊C4×D71C2311yescharacteristic
366C4⋊C4×D71C2311yescharacteristic
367C4⋊C4×D71C2311yescharacteristic
368C4⋊C4×D71C2311yescharacteristic
369C2×C22⋊Dic71—21no—
370C22⋊C4×D71—21no—
371C22⋊C4×D71—21no—
372C22⋊C4×D71—21no—
373C22⋊C4×D71—21no—
374C22⋊C4×D71—21no—
375C2×C4×Dic71—21no—
376C42×D71—21no—
377C42×D71—21no—
378C42×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#14556059C2311yescharacteristic
398#14556059C2311yescharacteristic
399#14556059C2311yescharacteristic
400#14556059C2311yescharacteristic
401#14556059C2311yescharacteristic
402#14556059C2311yescharacteristic
403#14556059C2311yescharacteristic
404#14556059C2311yescharacteristic
405#14556053C2311yescharacteristic
406#14556053C2311yescharacteristic
407#14556053C2311yescharacteristic
408#14556053C2311yescharacteristic
409#14556052C2311yescharacteristic
410#14556052C2311yescharacteristic
411#14556052C2311yescharacteristic
412#14556052C2311yescharacteristic
413#14556051C2311yescharacteristic
414#14556051C2311yescharacteristic
415#14556051C2311yescharacteristic
416#14556051C2311yescharacteristic
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic
420#14556050C2311yescharacteristic
421#14556049C2311yescharacteristic
422#14556049C2311yescharacteristic
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic
425#14556048C2311yescharacteristic
426#14556048C2311yescharacteristic
427#14556048C2311yescharacteristic
428#14556048C2311yescharacteristic
429C22⋊(C71⋊C8)C2311yescharacteristic
430C22⋊(C71⋊C8)C2311yescharacteristic
431C22⋊(C71⋊C8)C2311yescharacteristic
432C22⋊(C71⋊C8)C2311yescharacteristic
433(C2×D71)⋊C8C2311yescharacteristic
434(C2×D71)⋊C8C2311yescharacteristic
435(C2×D71)⋊C8C2311yescharacteristic
436(C2×D71)⋊C8C2311yescharacteristic
437(C2×D71)⋊C8C2311yescharacteristic
438(C2×D71)⋊C8C2311yescharacteristic
439(C2×D71)⋊C8C2311yescharacteristic
440(C2×D71)⋊C8C2311yescharacteristic
441C2×#41×C71C2311yescharacteristic
442C23×C4×C71C2311yescharacteristic
443C22×C8×C71C2311yescharacteristic
444C22×C8×C71C2311yescharacteristic
445#123×C71—21no—
446C22⋊Q8×C71C2311yescharacteristic
447C22⋊Q8×C71C2311yescharacteristic
448#121×C71C2311yescharacteristic
449#121×C71C2311yescharacteristic
450#120×C71—21no—
451C4×D4×C71—21no—
452C4×D4×C71—21no—
453#117×C71—21no—
454#117×C71—21no—
455#117×C71C2311yescharacteristic
456#117×C71C2311yescharacteristic
457#117×C71C2311yescharacteristic
458#117×C71C2311yescharacteristic
459#117×C71C2311yescharacteristic
460C2×C4⋊C4×C71C2311yescharacteristic
461C2×C4⋊C4×C71C2311yescharacteristic
462C2×C22⋊C4×C71—21no—
463C2×C42×C71—21no—
464#107×C71C2311yescharacteristic
465#107×C71C2311yescharacteristic
466#107×C71C2311yescharacteristic
467#107×C71C2311yescharacteristic
468#106×C71C2311yescharacteristic
469#106×C71C2311yescharacteristic
470#106×C71C2311yescharacteristic
471#106×C71C2311yescharacteristic
472#103×C71C2311yescharacteristic
473#103×C71C2311yescharacteristic
474#103×C71C2311yescharacteristic
475#103×C71C2311yescharacteristic
476#102×C71C2311yescharacteristic
477#102×C71C2311yescharacteristic
478#102×C71C2311yescharacteristic
479#102×C71C2311yescharacteristic
480C22⋊C8×C71C2311yescharacteristic
481C22⋊C8×C71C2311yescharacteristic
482C22⋊C8×C71C2311yescharacteristic
483C22⋊C8×C71C2311yescharacteristic
484C23×D71—21no—
485C23×D71C2×D411yescharacteristic
486C23×D71C2×D411yescharacteristic
487#11765866—22no—
488#11765866—22no—
489#11765865—24no—
490#11765865—24no—
491#11765865—24no—
492#11765865—24no—
493#11765865—22no—
494#11765865—22no—
495#11765865—22no—
496#11765865—22no—
497#11765865—22no—
498#11765865—22no—
499#11765865—22no—
500#11765865—22no—
501#11765865—22no—
502#11765865—22no—
503#11765865—44no—
504#11765864—22no—
505#11765864—22no—
506#11765864—44no—
507C2×Dic142—24no—
508C2×Dic142—21no—
509C2×Dic142C2×D411yescharacteristic
510C2×Dic142C2×D411yescharacteristic
511C2×Dic142C2×D411yescharacteristic
512C2×Dic142C2×D411yescharacteristic
513C2×Dic142C2411yescharacteristic
514Q8×D71—22no—
515Q8×D71—22no—
516C2×D284—24no—
517C2×D284—21no—
518C2×D284—21no—
519C2×D284—21no—
520C2×D284C2×D411yescharacteristic
521C2×D284C2×D411yescharacteristic
522C2×D284C2×D411yescharacteristic
523C2×D284C2×D411yescharacteristic
524C2×D284C2411yescharacteristic
525C2×C22⋊D71—24no—
526C2×C22⋊D71—21no—
527C2×C22⋊D71—21no—
528C2×C22⋊D71—21no—
529C2×C22⋊D71—21no—
530C2×C22⋊D71—21no—
531C2×C22⋊D71—21no—
532C2×C22⋊D71—24no—
533C2×C22⋊D71—21no—
534C2×C22⋊D71C2×D411yescharacteristic
535C2×C22⋊D71C2×D411yescharacteristic
536C2×C22⋊D71C2×D411yescharacteristic
537C2×C22⋊D71C2×D411yescharacteristic
538C2×C22⋊D71C2×D411yescharacteristic
539C2×C22⋊D71C2×D411yescharacteristic
540C2×C22⋊D71C2×D411yescharacteristic
541C2×C22⋊D71C2×D411yescharacteristic
542D4×D71—22no—
543D4×D71—22no—
544D4×D71—44no—
545C22×Dic71—21no—
546C22×Dic71—21no—
547C22×Dic71—21no—
548C22×Dic71C2×D411yescharacteristic
549C22×Dic71C2×D411yescharacteristic
550C2×C4×D71—22no—
551C2×C4×D71—22no—
552C2×C4×D71—21no—
553C2×C4×D71—21no—
554C2×C4×D71—21no—
555C2×C4×D71—21no—
556C2×C4×D71—21no—
557C2×C4×D71—21no—
558C2×C4×D71—21no—
559C2×C4×D71—21no—
560C2×C4×D71—21no—
561C2×C4×D71—21no—
562C2×C4×D71—21no—
563C2×C4×D71—21no—
564C2×C4×D71—21no—
565C2×C4×D71—44no—
566C2×C4×D71C2×D411yescharacteristic
567C2×C4×D71C2×D411yescharacteristic
568C2×C4×D71C2×D411yescharacteristic
569C2×C4×D71C2×D411yescharacteristic
570C2×C4×D71#4114yes—
571C2×C4×D71#4114yes—
572C2×C4×D71C2411yescharacteristic
573C2×C4×D71C2411yescharacteristic
574C2×C4×D71C2411yescharacteristic
575C2×C4×D71C2411yescharacteristic
576#11765848—22no—
577#11765848—22no—
578#11765848—22no—
579#11765848—22no—
580C2×C71⋊C8—22no—
581C2×C71⋊C8—22no—
582C2×C71⋊C8C2411yescharacteristic
583C2×C71⋊C8C2411yescharacteristic
584C2×C71⋊C8C2411yescharacteristic
585C2×C71⋊C8C2411yescharacteristic
586C8×D71—22no—
587C8×D71—22no—
588C8×D71—22no—
589C8×D71—22no—
590C4⋊Dic71—21no—
591C4⋊Dic71—21no—
592C4⋊Dic71—21no—
593C4⋊Dic71—21no—
594C4⋊Dic71C2411yescharacteristic
595C4⋊Dic71C2411yescharacteristic
596C4⋊Dic71C2411yescharacteristic
597C4⋊Dic71C2411yescharacteristic
598C4⋊Dic71C2411yescharacteristic
599C4⋊Dic71C2411yescharacteristic
600Dic71⋊C4—21no—
601Dic71⋊C4—21no—
602Dic71⋊C4—21no—
603Dic71⋊C4—21no—
604Dic71⋊C4—21no—
605Dic71⋊C4—21no—
606Dic71⋊C4—21no—
607Dic71⋊C4—21no—
608Dic71⋊C4—21no—
609Dic71⋊C4—21no—
610Dic71⋊C4—21no—
611Dic71⋊C4—21no—
612Dic71⋊C4—21no—
613Dic71⋊C4—21no—
614C22⋊Dic71—21no—
615C22⋊Dic71—21no—
616C22⋊Dic71—21no—
617C22⋊Dic71—21no—
618C22⋊Dic71—21no—
619C22⋊Dic71—21no—
620C22⋊Dic71—21no—
621C22⋊Dic71—21no—
622C22⋊Dic71—21no—
623(C2×D71)⋊C4—21no—
624(C2×D71)⋊C4—21no—
625(C2×D71)⋊C4—21no—
626(C2×D71)⋊C4—21no—
627(C2×D71)⋊C4—21no—
628(C2×D71)⋊C4—21no—
629(C2×D71)⋊C4—21no—
630(C2×D71)⋊C4—21no—
631(C2×D71)⋊C4—21no—
632(C2×D71)⋊C4—21no—
633(C2×D71)⋊C4—21no—
634(C2×D71)⋊C4—21no—
635(C2×D71)⋊C4—21no—
636(C2×D71)⋊C4—21no—
637(C2×D71)⋊C4—21no—
638(C2×D71)⋊C4—21no—
639(C2×D71)⋊C4—21no—
640(C2×D71)⋊C4—21no—
641C4×Dic71—21no—
642C4×Dic71—21no—
643C4×Dic71—21no—
644C4×Dic71—21no—
645C4×Dic71—21no—
646C4×Dic71—21no—
647C4×Dic71—21no—
648C4×Dic71—21no—
649C4×Dic71—21no—
650C4×Dic71—21no—
651C4×Dic71—21no—
652C4×Dic71—21no—
653C4×Dic71—21no—
654C4×Dic71—21no—
655C4×Dic71—21no—
656C24×C71C2×D411yescharacteristic
657#41×C71—22no—
658#41×C71—22no—
659C2×Q8×C71C2411yescharacteristic
660C2×D4×C71—21no—
661C2×D4×C71—21no—
662C2×D4×C71—21no—
663C2×D4×C71C2411yescharacteristic
664C22×C4×C71—22no—
665C22×C4×C71—22no—
666C22×C4×C71—21no—
667C22×C4×C71—21no—
668C22×C4×C71—21no—
669C22×C4×C71C2×D411yescharacteristic
670C22×C4×C71C2×D411yescharacteristic
671C22×C4×C71C2×D411yescharacteristic
672C22×C4×C71C2411yescharacteristic
673C22×C4×C71C2411yescharacteristic
674C22×C4×C71C2411yescharacteristic
675C2×C8×C71—22no—
676C2×C8×C71—22no—
677C2×C8×C71C2411yescharacteristic
678C2×C8×C71C2411yescharacteristic
679C2×C8×C71C2411yescharacteristic
680C2×C8×C71C2411yescharacteristic
681C4⋊C4×C71—21no—
682C4⋊C4×C71—21no—
683C4⋊C4×C71—21no—
684C4⋊C4×C71—21no—
685C4⋊C4×C71C2411yescharacteristic
686C4⋊C4×C71C2411yescharacteristic
687C4⋊C4×C71C2411yescharacteristic
688C4⋊C4×C71C2411yescharacteristic
689C4⋊C4×C71C2411yescharacteristic
690C4⋊C4×C71C2411yescharacteristic
691C22⋊C4×C71—21no—
692C22⋊C4×C71—21no—
693C22⋊C4×C71—21no—
694C22⋊C4×C71—21no—
695C22⋊C4×C71—21no—
696C22⋊C4×C71—21no—
697C22⋊C4×C71—21no—
698C22⋊C4×C71—21no—
699C22⋊C4×C71—21no—
700C42×C71—21no—
701C42×C71—21no—
702C42×C71—21no—
703C42×C71—21no—
704C42×C71—21no—
705C23×C71—22no—
706C23×C71—21no—
707C23×C71—41no—
708C23×C71—41no—
709C23×C71C22×D411yescharacteristic
710C23×C71C22×D411yescharacteristic
711C23×C71C22×D411yescharacteristic
712C22×D71—22no—
713C22×D71—21no—
714C22×D71—41no—
715C22×D71—41no—
716C22×D71—41no—
717C22×D71—41no—
718C22×D71—42no—
719C22×D71—81no—
720C22×D71—81no—
721C22×D71#12314yes—
722C22×D71C22×D411yescharacteristic
723C22×D71C22×D411yescharacteristic
724C22×D71C22×D411yescharacteristic
725C22×D71C22×D411yescharacteristic
726Q8×C71—21no—
727Q8×C71—21no—
728D4×C71—21no—
729D4×C71—21no—
730D4×C71—42no—
731D4×C71—81no—
732D4×C71—81no—
733C2×C4×C71—22no—
734C2×C4×C71—22no—
735C2×C4×C71—22no—
736C2×C4×C71—21no—
737C2×C4×C71—21no—
738C2×C4×C71—21no—
739C2×C4×C71—21no—
740C2×C4×C71—21no—
741C2×C4×C71—21no—
742C2×C4×C71—21no—
743C2×C4×C71—21no—
744C2×C4×C71—21no—
745C2×C4×C71—21no—
746C2×C4×C71—21no—
747C2×C4×C71—42no—
748C2×C4×C71—81no—
749C2×C4×C71—81no—
750C2×C4×C71C22×D411yescharacteristic
751C2×C4×C71C22×D411yescharacteristic
752C2×C4×C71C22×D411yescharacteristic
753C2×C4×C71C2×#4112yes—
754C2×C4×C71C2×#4112yes—
755C2×C4×C71C2511yescharacteristic
756C22⋊D71—22no—
757C22⋊D71—22no—
758C22⋊D71—22no—
759C22⋊D71—22no—
760C22⋊D71—22no—
761C22⋊D71—22no—
762C22⋊D71—22no—
763C22⋊D71—22no—
764C22⋊D71—42no—
765C22⋊D71—42no—
766C22⋊D71—42no—
767C22⋊D71—81no—
768C22⋊D71—81no—
769C22⋊D71—81no—
770C22⋊D71—81no—
771C2×Dic71—22no—
772C2×Dic71—21no—
773C2×Dic71—21no—
774C2×Dic71—21no—
775C2×Dic71—21no—
776C2×Dic71—21no—
777C2×Dic71—21no—
778C2×Dic71—21no—
779C2×Dic71—42no—
780C2×Dic71—81no—
781C2×Dic71—81no—
782C2×Dic71#12314yes—
783C2×Dic71C22×D411yescharacteristic
784C2×Dic71C22×D411yescharacteristic
785C2×Dic71C22×D411yescharacteristic
786C2×Dic71C22×D411yescharacteristic
787D284—22no—
788D284—22no—
789D284—22no—
790D284—22no—
791D284—21no—
792D284—21no—
793D284—42no—
794D284—81no—
795D284—81no—
796C4×D71—22no—
797C4×D71—22no—
798C4×D71—21no—
799C4×D71—21no—
800C4×D71—21no—
801C4×D71—21no—
802C4×D71—42no—
803C4×D71—42no—
804C4×D71—42no—
805C4×D71—81no—
806C4×D71—81no—
807C4×D71—81no—
808C4×D71—81no—
809C4×D71—81no—
810C4×D71—81no—
811C4×D71—81no—
812C4×D71—81no—
813C4×D71—81no—
814C4×D71—81no—
815C4×D71#12314yes—
816C4×D71#12314yes—
817C4×D71C2×#4112yes—
818C4×D71C2×#4112yes—
819C4×D71C2×#4112yes—
820C4×D71C2×#4112yes—
821Dic142—22no—
822Dic142—22no—
823Dic142—22no—
824Dic142—22no—
825Dic142—21no—
826Dic142—21no—
827Dic142—42no—
828C8×C71—21no—
829C8×C71—21no—
830C8×C71—21no—
831C8×C71—21no—
832C71⋊C8—21no—
833C71⋊C8—21no—
834C71⋊C8—21no—
835C71⋊C8—21no—
836C22×C71—21no—
837C22×C71—21no—
838C22×C71—21no—
839C22×C71—21no—
840C22×C71—21no—
841C22×C71—21no—
842C22×C71—21no—
843C22×C71—21no—
844C22×C71—41no—
845C22×C71—41no—
846C22×C71—41no—
847C22×C71—82no—
848C22×C71C2×#12312yes—
849C22×C71C23×D411yescharacteristic
850C2×D71—21no—
851C2×D71—21no—
852C2×D71—21no—
853C2×D71—21no—
854C2×D71—21no—
855C2×D71—21no—
856C2×D71—21no—
857C2×D71—21no—
858C2×D71—21no—
859C2×D71—21no—
860C2×D71—44no—
861C2×D71—41no—
862C2×D71—41no—
863C2×D71—41no—
864C2×D71—84no—
865C2×D71—82no—
866C2×D71C2×#12312yes—
867C2×D71C2×#12312yes—
868C4×C71—21no—
869C4×C71—21no—
870C4×C71—41no—
871C4×C71—41no—
872C4×C71—41no—
873C4×C71—41no—
874C4×C71—41no—
875C4×C71—41no—
876C4×C71—41no—
877C4×C71C2×#12312yes—
878C4×C71C22×#4111yescharacteristic
879C4×C71C22×#4111yescharacteristic
880Dic71—21no—
881Dic71—21no—
882Dic71—41no—
883Dic71—41no—
884Dic71—41no—
885Dic71—41no—
886Dic71—41no—
887Dic71—41no—
888Dic71—41no—
889Dic71C2×#12312yes—
890Dic71C2×#12312yes—
891#60516—711nomaximal, Sylow
892C2×C71—22no—
893C2×C71—41no—
894C2×C71—41no—
895C2×C71—81no—
896C2×C71C22×#12311yescharacteristic
897C2×C71#358411yescharacteristic
898C2×C71#358411yescharacteristic
899D71—22no—
900D71—22no—
901D71—41no—
902D71—41no—
903D71—81no—
904#3449—711no—
905#3428—711no—
906#3099—711no—
907#3099—711no—
908#3099—711no—
909#3099—711no—
910#3098—711no—
911#3098—711no—
912#3098—711no—
913#3098—711no—
914#3097—711no—
915#3097—711no—
916#3097—711no—
917#3097—711no—
918#3096—711no—
919#3096—711no—
920#3096—711no—
921#3096—711no—
922#3091—711no—
923#3091—711no—
924#3091—711no—
925#3091—711no—
926#3091—711no—
927#3091—711no—
928#3091—711no—
929#3091D7111yescharacteristic, complemented
930#2911—711no—
931C2×#427—711no—
932#2896—711no—
933C2×#416—711no—
934C2×#408—711no—
935C71#6051611yescharacteristic, complemented, Sylow
936C22×#41—711no—
937C22×#41—711no—
938C22×M16—711no—
939C23×C8—711no—
940#537—711no—
941#537—711no—
942#537—711no—
943#537—711no—
944#536—711no—
945#536—711no—
946#536—1421no—
947#535—711no—
948#535—711no—
949#535—1421no—
950#534—1421no—
951#534—1421no—
952#532—1421no—
953#532—1421no—
954#525—711no—
955#525—711no—
956#525—711no—
957#525—1421no—
958#525—1421no—
959#525C2×D7111yescharacteristic
960#520—711no—
961#520—711no—
962#520—711no—
963#520—711no—
964#520—711no—
965#520—711no—
966#520—711no—
967#520—711no—
968#519—1421no—
969#518—1421no—
970#518—1421no—
971#518—1421no—
972C4×#41—1421no—
973C4×#41—1421no—
974C4×#41—1421no—
975C4×#41—1421no—
976C2×#117—711no—
977C2×#117—711no—
978C2×#117—711no—
979C2×#117—711no—
980C2×#117—711no—
981C2×#117—711no—
982C2×#117C2×D7111yescharacteristic, complemented
983#485—711no—
984#485—711no—
985#485—711no—
986#485—711no—
987#485—711no—
988#485—711no—
989#485—711no—
990#485—711no—
991#485—711no—
992#485—711no—
993#485—711no—
994#485—711no—
995#485—711no—
996#485—711no—
997#485C2×D7111yescharacteristic, complemented
998#485C2×D7111yescharacteristic, complemented
999#484—711no—
1000#484—711no—
1001#484—711no—
1002#484—711no—
1003#484—711no—
1004#484—711no—
1005#484—711no—
1006#484C2×D7111yescharacteristic, complemented
1007#483—711no—
1008#483—711no—
1009#483—711no—
1010#483—711no—
1011#483—711no—
1012#483—711no—
1013#483—711no—
1014#483C2×D7111yescharacteristic, complemented
1015#482—711no—
1016#482—711no—
1017#482—711no—
1018#482—711no—
1019#482—711no—
1020#482—711no—
1021#482—711no—
1022#482—711no—
1023#482—711no—
1024#482—711no—
1025#482—711no—
1026#482—711no—
1027#482—711no—
1028#482—711no—
1029#482C2×D7111yescharacteristic, complemented
1030#482C2×D7111yescharacteristic, complemented
1031#481—711no—
1032#481—711no—
1033#481—711no—
1034#481—711no—
1035#481—711no—
1036#481—711no—
1037#481—711no—
1038#481C2×D7111yescharacteristic, complemented
1039#480—711no—
1040#480—711no—
1041#480—711no—
1042#480—711no—
1043#480—711no—
1044#480—711no—
1045#480—711no—
1046#480C2×D7111yescharacteristic, complemented
1047#428—711no—
1048#428—711no—
1049#428—711no—
1050#428—711no—
1051#428—711no—
1052#428—711no—
1053#428—711no—
1054#428—711no—
1055#427—711no—
1056#427—711no—
1057#427—711no—
1058#427—711no—
1059#427—711no—
1060#427—711no—
1061#427—711no—
1062#427—711no—
1063#427—711no—
1064#427—711no—
1065#427C2×D7111yescharacteristic, complemented
1066#427C2×D7111yescharacteristic, complemented
1067C2×#107—711no—
1068C2×#107—711no—
1069C2×#106—711no—
1070C2×#106—711no—
1071#419—711no—
1072#419—711no—
1073#418—711no—
1074#418—711no—
1075#417—711no—
1076#417—711no—
1077#417—711no—
1078#417—711no—
1079#416—711no—
1080#416—711no—
1081#416—711no—
1082#416—711no—
1083#416—711no—
1084#416—711no—
1085#416—711no—
1086#416—711no—
1087#416—711no—
1088#416—711no—
1089#416C2×D7111yescharacteristic
1090#416C2×D7111yescharacteristic
1091C2×#103—711no—
1092C2×#103—711no—
1093C2×#102—711no—
1094C2×#102—711no—
1095#408—711no—
1096#408—711no—
1097#408—711no—
1098#408—711no—
1099#408—711no—
1100#408—711no—
1101#408—711no—
1102#408—711no—
1103C2×C22⋊C8—711no—
1104C2×C22⋊C8—711no—
1105C2×C22⋊C8—711no—
1106C2×C22⋊C8C2×D7111yescharacteristic, complemented
1107C2×#41—711no—
1108C2×#41—711no—
1109C2×#41—711no—
1110C2×#41—711no—
1111C2×#41—711no—
1112C2×#41—711no—
1113C2×#41—711no—
1114C2×#41—711no—
1115C2×#41—711no—
1116C2×#41—711no—
1117C2×#41—711no—
1118C2×#41—1421no—
1119C2×#41—1424no—
1120C2×#41—1424no—
1121C2×#41—1424no—
1122C2×#41—1424no—
1123C2×#41—1421no—
1124C2×#41C22×D7111yescharacteristic
1125C22×Q8—711no—
1126C22×Q8—711no—
1127C22×D4—711no—
1128C22×D4—711no—
1129C22×D4—711no—
1130C22×D4—711no—
1131C22×D4—1421no—
1132C23×C4—711no—
1133C23×C4—711no—
1134C23×C4—1421no—
1135C23×C4C22×D7111yescharacteristic
1136C2×M16—711no—
1137C2×M16—711no—
1138C2×M16—711no—
1139C2×M16—711no—
1140C2×M16—1424no—
1141C22×C8—711no—
1142C22×C8—711no—
1143C22×C8—711no—
1144C22×C8—711no—
1145C22×C8—711no—
1146C22×C8—711no—
1147C22×C8—1424no—
1148C22×C8C22×D7111yescharacteristic
1149C22×C8C22×D7111yescharacteristic
1150C4⋊Q8—1421no—
1151C4⋊Q8—1421no—
1152#127—1421no—
1153#127—1421no—
1154#124—1421no—
1155#124—1421no—
1156#124—1421no—
1157#124—1421no—
1158#123—21no—
1159#123—1421no—
1160#123—1421no—
1161#123—1421no—
1162#123—1421no—
1163#123—1421no—
1164#123—1421no—
1165#123—1421no—
1166C22⋊Q8—711no—
1167C22⋊Q8—711no—
1168C22⋊Q8—711no—
1169C22⋊Q8—711no—
1170C22⋊Q8—711no—
1171C22⋊Q8—711no—
1172C22⋊Q8—1421no—
1173C22⋊Q8—1421no—
1174C22⋊Q8—1421no—
1175C22⋊Q8—1421no—
1176C22⋊Q8C22×D7111yescharacteristic
1177C22⋊Q8C22×D7111yescharacteristic
1178#121—711no—
1179#121—711no—
1180#121—711no—
1181#121—711no—
1182#121—711no—
1183#121—711no—
1184#121—1421no—
1185#121—1421no—
1186#121—1421no—
1187#121—1421no—
1188#121—1421no—
1189#121—1421no—
1190#121—1421no—
1191#121—1421no—
1192#121—1421no—
1193#121—1421no—
1194#121—1421no—
1195#121—1421no—
1196#121C22×D7111yescharacteristic
1197#121C22×D7111yescharacteristic
1198#120—21no—
1199#120—1421no—
1200#120—1421no—
1201#120—1421no—
1202#120—1421no—
1203#120—1421no—
1204#120—1421no—
1205#120—1421no—
1206C4×Q8—1421no—
1207C4×Q8—1421no—
1208C4×Q8—1421no—
1209C4×Q8—1421no—
1210C4×Q8—1421no—
1211C4×Q8—1421no—
1212C4×Q8—1421no—
1213C4×Q8—1421no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—1421no—
1217C4×D4—1421no—
1218C4×D4—1421no—
1219C4×D4—1421no—
1220C4×D4—1421no—
1221C4×D4—1421no—
1222C4×D4—1421no—
1223C4×D4—1421no—
1224C4×D4—1421no—
1225C4×D4—1421no—
1226C4×D4—1421no—
1227C4×D4—1421no—
1228C4×D4—1421no—
1229C4×D4—1421no—
1230C4×D4—1421no—
1231C4×D4—1421no—
1232C4×D4—1421no—
1233C4×D4—1421no—
1234C4×D4—1421no—
1235C4×D4—1421no—
1236C4×D4—1421no—
1237C4×D4—1421no—
1238C4×D4—1421no—
1239C4×D4—1421no—
1240C4×D4—1421no—
1241C4×D4—1421no—
1242C4×D4—1421no—
1243C4×D4—1421no—
1244C4×D4—1421no—
1245C4×D4—1421no—
1246#117—21no—
1247#117—21no—
1248#117—711no—
1249#117—711no—
1250#117—711no—
1251#117—711no—
1252#117—711no—
1253#117—711no—
1254#117—711no—
1255#117—711no—
1256#117—711no—
1257#117—711no—
1258#117—711no—
1259#117—711no—
1260#117—711no—
1261#117—711no—
1262#117—711no—
1263#117—1421no—
1264#117—1421no—
1265#117—1421no—
1266#117—1421no—
1267#117—1421no—
1268#117—1421no—
1269#117—1421no—
1270#117—1421no—
1271#117—1421no—
1272#117—1421no—
1273#117—1421no—
1274#117—1421no—
1275#117C22×D7111yescharacteristic
1276#117C22×D7111yescharacteristic
1277#117C22×D7111yescharacteristic
1278#117C22×D7111yescharacteristic
1279#117C22×D7111yescharacteristic
1280C2×C4⋊C4—711no—
1281C2×C4⋊C4—711no—
1282C2×C4⋊C4—711no—
1283C2×C4⋊C4—711no—
1284C2×C4⋊C4—711no—
1285C2×C4⋊C4—711no—
1286C2×C4⋊C4—711no—
1287C2×C4⋊C4—711no—
1288C2×C4⋊C4—711no—
1289C2×C4⋊C4—711no—
1290C2×C4⋊C4—711no—
1291C2×C4⋊C4—711no—
1292C2×C4⋊C4C22×D7111yescharacteristic
1293C2×C4⋊C4C22×D7111yescharacteristic
1294C2×C22⋊C4—21no—
1295C2×C22⋊C4—1421no—
1296C2×C22⋊C4—1421no—
1297C2×C22⋊C4—1421no—
1298C2×C22⋊C4—1421no—
1299C2×C22⋊C4—1421no—
1300C2×C22⋊C4—1421no—
1301C2×C42—21no—
1302C2×C42—1421no—
1303C2×C42—1421no—
1304C2×C42—1421no—
1305C2×C42—1421no—
1306C2×C42—1421no—
1307C2×C42—1421no—
1308#107—711no—
1309#107—711no—
1310#107—711no—
1311#107—711no—
1312#107—711no—
1313#107—711no—
1314#107—711no—
1315#107—711no—
1316#107—711no—
1317#107—711no—
1318#107—711no—
1319#107—711no—
1320#107C22×D7111yescharacteristic
1321#107C22×D7111yescharacteristic
1322#107C22×D7111yescharacteristic
1323#107C22×D7111yescharacteristic
1324#106—711no—
1325#106—711no—
1326#106—711no—
1327#106—711no—
1328#106—711no—
1329#106—711no—
1330#106—711no—
1331#106—711no—
1332#106—711no—
1333#106—711no—
1334#106—711no—
1335#106—711no—
1336#106C22×D7111yescharacteristic
1337#106C22×D7111yescharacteristic
1338#106C22×D7111yescharacteristic
1339#106C22×D7111yescharacteristic
1340#103—711no—
1341#103—711no—
1342#103—711no—
1343#103—711no—
1344#103—711no—
1345#103—711no—
1346#103—711no—
1347#103—711no—
1348#103—711no—
1349#103—711no—
1350#103—711no—
1351#103—711no—
1352#103C22×D7111yescharacteristic
1353#103C22×D7111yescharacteristic
1354#103C22×D7111yescharacteristic
1355#103C22×D7111yescharacteristic
1356#102—711no—
1357#102—711no—
1358#102—711no—
1359#102—711no—
1360#102—711no—
1361#102—711no—
1362#102—711no—
1363#102—711no—
1364#102—711no—
1365#102—711no—
1366#102—711no—
1367#102—711no—
1368#102C22×D7111yescharacteristic
1369#102C22×D7111yescharacteristic
1370#102C22×D7111yescharacteristic
1371#102C22×D7111yescharacteristic
1372C22⋊C8—711no—
1373C22⋊C8—711no—
1374C22⋊C8—711no—
1375C22⋊C8—711no—
1376C22⋊C8—711no—
1377C22⋊C8—711no—
1378C22⋊C8—711no—
1379C22⋊C8—711no—
1380C22⋊C8—711no—
1381C22⋊C8—711no—
1382C22⋊C8—711no—
1383C22⋊C8—711no—
1384C22⋊C8C22×D7111yescharacteristic
1385C22⋊C8C22×D7111yescharacteristic
1386C22⋊C8C22×D7111yescharacteristic
1387C22⋊C8C22×D7111yescharacteristic
1388C24—711no—
1389C24—711no—
1390C24—1421no—
1391C24D4×D7111yescharacteristic
1392#41—22no—
1393#41—22no—
1394#41—2844no—
1395#41—2844no—
1396#41—1422no—
1397#41—1422no—
1398#41—1422no—
1399#41—1422no—
1400#41—1422no—
1401#41—1422no—
1402#41—1422no—
1403#41—1422no—
1404#41—1424no—
1405#41—1424no—
1406#41—1424no—
1407#41—1424no—
1408#41—1422no—
1409#41—1422no—
1410#41—1422no—
1411#41—1422no—
1412#41—1422no—
1413#41—1422no—
1414C2×Q8—711no—
1415C2×Q8—711no—
1416C2×Q8—711no—
1417C2×Q8—711no—
1418C2×Q8—711no—
1419C2×Q8—1421no—
1420C2×Q8—1424no—
1421C2×Q8—1422no—
1422C2×Q8—1422no—
1423C2×Q8C23×D7111yescharacteristic
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—2844no—
1428C2×D4—711no—
1429C2×D4—711no—
1430C2×D4—711no—
1431C2×D4—711no—
1432C2×D4—711no—
1433C2×D4—711no—
1434C2×D4—711no—
1435C2×D4—711no—
1436C2×D4—711no—
1437C2×D4—711no—
1438C2×D4—711no—
1439C2×D4—711no—
1440C2×D4—711no—
1441C2×D4—1421no—
1442C2×D4—1421no—
1443C2×D4—1421no—
1444C2×D4—1424no—
1445C2×D4—1422no—
1446C2×D4—1422no—
1447C2×D4—1421no—
1448C2×D4—1424no—
1449C2×D4—1421no—
1450C2×D4—1421no—
1451C2×D4—1421no—
1452C2×D4—1421no—
1453C2×D4—1421no—
1454C2×D4—1421no—
1455C2×D4—1424no—
1456C2×D4C23×D7111yescharacteristic
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—21no—
1460C22×C4—21no—
1461C22×C4—21no—
1462C22×C4—2844no—
1463C22×C4—711no—
1464C22×C4—711no—
1465C22×C4—711no—
1466C22×C4—714no—
1467C22×C4—714no—
1468C22×C4—711no—
1469C22×C4—711no—
1470C22×C4—711no—
1471C22×C4—711no—
1472C22×C4—711no—
1473C22×C4—711no—
1474C22×C4—711no—
1475C22×C4—1421no—
1476C22×C4—1421no—
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—1422no—
1492C22×C4—1422no—
1493C22×C4D4×D7111yescharacteristic
1494C22×C4D4×D7111yescharacteristic
1495C22×C4D4×D7111yescharacteristic
1496C22×C4C23×D7111yescharacteristic
1497C22×C4C23×D7111yescharacteristic
1498C22×C4C23×D7111yescharacteristic
1499M16—1422no—
1500M16—1422no—
1501M16—1422no—
1502M16—1422no—
1503C2×C8—22no—
1504C2×C8—22no—
1505C2×C8—711no—
1506C2×C8—711no—
1507C2×C8—711no—
1508C2×C8—711no—
1509C2×C8—1422no—
1510C2×C8—1422no—
1511C2×C8—1422no—
1512C2×C8—1422no—
1513C2×C8—1422no—
1514C2×C8—1422no—
1515C2×C8C23×D7111yescharacteristic
1516C2×C8C23×D7111yescharacteristic
1517C2×C8C23×D7111yescharacteristic
1518C2×C8C23×D7111yescharacteristic
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—711no—
1524C4⋊C4—711no—
1525C4⋊C4—711no—
1526C4⋊C4—711no—
1527C4⋊C4—711no—
1528C4⋊C4—711no—
1529C4⋊C4—1421no—
1530C4⋊C4—1421no—
1531C4⋊C4—1421no—
1532C4⋊C4—1421no—
1533C4⋊C4—1421no—
1534C4⋊C4—1421no—
1535C4⋊C4—1421no—
1536C4⋊C4—1421no—
1537C4⋊C4—1421no—
1538C4⋊C4—1421no—
1539C4⋊C4—1421no—
1540C4⋊C4—1421no—
1541C4⋊C4—1421no—
1542C4⋊C4—1421no—
1543C4⋊C4—1421no—
1544C4⋊C4—1421no—
1545C4⋊C4—1421no—
1546C4⋊C4—1421no—
1547C4⋊C4C23×D7111yescharacteristic
1548C4⋊C4C23×D7111yescharacteristic
1549C4⋊C4C23×D7111yescharacteristic
1550C4⋊C4C23×D7111yescharacteristic
1551C4⋊C4C23×D7111yescharacteristic
1552C4⋊C4C23×D7111yescharacteristic
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—1421no—
1563C22⋊C4—1421no—
1564C22⋊C4—1421no—
1565C22⋊C4—1421no—
1566C22⋊C4—1421no—
1567C22⋊C4—1421no—
1568C22⋊C4—1421no—
1569C22⋊C4—1421no—
1570C22⋊C4—1421no—
1571C22⋊C4—1421no—
1572C22⋊C4—1421no—
1573C22⋊C4—1421no—
1574C22⋊C4—1421no—
1575C22⋊C4—1421no—
1576C22⋊C4—1421no—
1577C22⋊C4—1421no—
1578C22⋊C4—1421no—
1579C22⋊C4—1421no—
1580C22⋊C4—1421no—
1581C22⋊C4—1421no—
1582C22⋊C4—1421no—
1583C22⋊C4—1421no—
1584C22⋊C4—1421no—
1585C22⋊C4—1421no—
1586C22⋊C4—1421no—
1587C22⋊C4—1421no—
1588C22⋊C4—1421no—
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42—21no—
1594C42—1421no—
1595C42—1421no—
1596C42—1421no—
1597C42—1421no—
1598C42—1421no—
1599C42—1421no—
1600C42—1421no—
1601C42—1421no—
1602C42—1421no—
1603C42—1421no—
1604C42—1421no—
1605C42—1421no—
1606C42—1421no—
1607C42—1421no—
1608C42—1421no—
1609C23—22no—
1610C23—21no—
1611C23—41no—
1612C23—41no—
1613C23—2841no—
1614C23—2841no—
1615C23—2841no—
1616C23—2841no—
1617C23—2842no—
1618C23—5681no—
1619C23—5681no—
1620C23—714no—
1621C23—711no—
1622C23—711no—
1623C23—711no—
1624C23—711no—
1625C23—1421no—
1626C23—1422no—
1627C23C2×D4×D7111yescharacteristic
1628C23C2×D4×D7111yescharacteristic
1629C23C2×D4×D7111yescharacteristic
1630Q8—21no—
1631Q8—21no—
1632Q8—2842no—
1633Q8—1422no—
1634Q8—1422no—
1635Q8—1422no—
1636Q8—1422no—
1637Q8—1421no—
1638Q8—1421no—
1639D4—21no—
1640D4—21no—
1641D4—42no—
1642D4—81no—
1643D4—81no—
1644D4—2842no—
1645D4—2842no—
1646D4—2842no—
1647D4—2842no—
1648D4—5681no—
1649D4—5681no—
1650D4—5681no—
1651D4—5681no—
1652D4—5681no—
1653D4—5681no—
1654D4—1422no—
1655D4—1422no—
1656D4—1422no—
1657D4—1422no—
1658D4—1422no—
1659D4—1422no—
1660D4—1422no—
1661D4—1422no—
1662D4—1422no—
1663D4—1422no—
1664D4—1422no—
1665D4—1422no—
1666D4—1421no—
1667D4—1421no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—42no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—2842no—
1686C2×C4—2842no—
1687C2×C4—2842no—
1688C2×C4—2842no—
1689C2×C4—5681no—
1690C2×C4—5681no—
1691C2×C4—5681no—
1692C2×C4—5681no—
1693C2×C4—5681no—
1694C2×C4—5681no—
1695C2×C4—5681no—
1696C2×C4—5681no—
1697C2×C4—5681no—
1698C2×C4—5681no—
1699C2×C4—5681no—
1700C2×C4—5681no—
1701C2×C4—711no—
1702C2×C4—711no—
1703C2×C4—714no—
1704C2×C4—712no—
1705C2×C4—712no—
1706C2×C4—712no—
1707C2×C4—712no—
1708C2×C4—714no—
1709C2×C4—714no—
1710C2×C4—711no—
1711C2×C4—711no—
1712C2×C4—1421no—
1713C2×C4—1421no—
1714C2×C4—1421no—
1715C2×C4—1421no—
1716C2×C4—1421no—
1717C2×C4—1421no—
1718C2×C4—1421no—
1719C2×C4—1422no—
1720C2×C4—1421no—
1721C2×C4—1421no—
1722C2×C4—1421no—
1723C2×C4—1421no—
1724C2×C4—1422no—
1725C2×C4—1422no—
1726C2×C4C2×D4×D7111yescharacteristic
1727C2×C4C2×D4×D7111yescharacteristic
1728C2×C4C2×D4×D7111yescharacteristic
1729C2×C4#41×D7112yes—
1730C2×C4#41×D7112yes—
1731C2×C4C24×D7111yescharacteristic
1732C8—21no—
1733C8—21no—
1734C8—21no—
1735C8—21no—
1736C8—1421no—
1737C8—1421no—
1738C8—1421no—
1739C8—1421no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—21no—
1744C22—21no—
1745C22—21no—
1746C22—21no—
1747C22—21no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—82no—
1752C22—2844no—
1753C22—2841no—
1754C22—2841no—
1755C22—2841no—
1756C22—5682no—
1757C22—5684no—
1758C22—712no—
1759C22—712no—
1760C22—1421no—
1761C22—1421no—
1762C22—1421no—
1763C22—1421no—
1764C22—1421no—
1765C22—1421no—
1766C22—1421no—
1767C22—1421no—
1768C22—1421no—
1769C22—1421no—
1770C22#123×D7112yes—
1771C22C22×D4×D7111yescharacteristic
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—2841no—
1782C4—2841no—
1783C4—2841no—
1784C4—2841no—
1785C4—2841no—
1786C4—2841no—
1787C4—2841no—
1788C4—712no—
1789C4—712no—
1790C4—1421no—
1791C4—1421no—
1792C4#123×D7112yes—
1793C4C2×#41×D7111yescharacteristic
1794C4C2×#41×D7111yescharacteristic
1795C2—22no—
1796C2—41no—
1797C2—41no—
1798C2—81no—
1799C2—2841no—
1800C2—2841no—
1801C2—5681no—
1802C2—1422no—
1803C2—1422no—
1804C2C2×#123×D7111yescharacteristic
1805C2#2260310911yescharacteristic
1806C2#2260311311yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3091C2
socleC22×C71C23×D4
prime radical#22601670C2
hypercenter#3091D71
hypocenterC71#60516
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #3091

Complements

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

NH ≅ G/Ntype
2. #22601541C2semidirect
3. #22598332C2semidirect
4. #22598330C2semidirect
5. #22598326C2semidirect
6. #22598324C2semidirect
7. #22598321C2semidirect
8. #22598319C2semidirect
9. #22598315C2semidirect
10. #22598313C2semidirect
11. #22598308C2semidirect
12. #22598306C2semidirect
13. #22598304C2semidirect
14. #22598302C2semidirect
15. #22598297C2semidirect
16. #22598295C2semidirect
17. #22598293C2semidirect
18. #22598291C2semidirect
19. #22598257C2semidirect
20. #22598257C2semidirect
21. #22598255C2semidirect
22. #22598253C2semidirect
23. #22598251C2semidirect
24. #22598251C2semidirect
25. #22598249C2semidirect
26. #22596928C2semidirect
27. #427×D71C2semidirect
28. #22596855C2semidirect
29. #416×D71C2semidirect
30. C2×#17985964C2semidirect
31. C71×#3091C2semidirect
57. #17986480C22semidirect
58. #17986480C22semidirect
61. #17986479C22semidirect
62. #17986479C22semidirect
71. C2×#14556087C22semidirect
75. #117×D71C22semidirect
76. #117×D71C22semidirect
77. #17986343C22semidirect
78. #17986343C22semidirect
79. #17986342C22semidirect
80. #17986342C22semidirect
81. #17986341C22semidirect
82. #17986341C22semidirect
83. #17986340C22semidirect
84. #17986340C22semidirect
85. #17986339C22semidirect
86. #17986339C22semidirect
87. #17986338C22semidirect
88. #17986338C22semidirect
89. #17986337C22semidirect
90. #17986337C22semidirect
91. #17986336C22semidirect
92. #17986336C22semidirect
93. #17986335C22semidirect
94. #17986334C22semidirect
95. #17986333C22semidirect
96. #17986333C22semidirect
97. #17986332C22semidirect
98. #17986331C22semidirect
99. #17986331C22semidirect
100. #17986330C22semidirect
101. #17986329C22semidirect
102. #17986328C22semidirect
103. #17986328C22semidirect
104. #17986327C22semidirect
105. #17986326C22semidirect
106. #17986326C22semidirect
107. #17986325C22semidirect
108. #17986325C22semidirect
109. #17986324C22semidirect
110. #17986324C22semidirect
111. #17986323C22semidirect
112. #17986323C22semidirect
113. #17986322C22semidirect
114. #17986322C22semidirect
115. #17986321C22semidirect
116. #17986321C22semidirect
117. #17986320C22semidirect
118. #17986320C22semidirect
119. #17986319C22semidirect
120. #17986319C22semidirect
121. #17986318C22semidirect
122. #17986317C22semidirect
123. #17986316C22semidirect
124. #17986316C22semidirect
125. #17986315C22semidirect
126. #17986314C22semidirect
127. #17986314C22semidirect
128. #17986313C22semidirect
129. #17986312C22semidirect
130. #17986311C22semidirect
131. #17986311C22semidirect
132. #17986310C22semidirect
133. #17986040C22semidirect
134. #17986040C22semidirect
135. #17986040C22semidirect
136. #17986040C22semidirect
137. #17986038C22semidirect
138. #17986038C22semidirect
139. #17986038C22semidirect
140. #17986038C22semidirect
141. #17986037C22semidirect
142. #17986037C22semidirect
143. #17986036C22semidirect
144. #17986036C22semidirect
145. #17986035C22semidirect
146. #17986035C22semidirect
147. #17986035C22semidirect
148. #17986035C22semidirect
149. #17986034C22semidirect
150. #17986034C22semidirect
151. #107×D71C22semidirect
152. #107×D71C22semidirect
153. #106×D71C22semidirect
154. #106×D71C22semidirect
155. #17986006C22semidirect
156. #17986006C22semidirect
157. #17986002C22semidirect
158. #17986002C22semidirect
159. #17985999C22semidirect
160. #17985999C22semidirect
161. #17985997C22semidirect
162. #17985997C22semidirect
167. #17985994C22semidirect
168. #17985994C22semidirect
171. #17985992C22semidirect
172. #17985992C22semidirect
173. #103×D71C22semidirect
174. #103×D71C22semidirect
175. #102×D71C22semidirect
176. #102×D71C22semidirect
181. #17985964C22semidirect
182. #17985964C22semidirect
183. #17985964C22semidirect
184. #17985964C22semidirect
185. C2×C22⋊(C71⋊C8)C22semidirect
186. C2×(C2×D71)⋊C8C22semidirect
187. C2×(C2×D71)⋊C8C22semidirect
189. C2×#117×C71C22semidirect
190. #485×C71C22semidirect
191. #485×C71C22semidirect
192. #484×C71C22semidirect
193. #483×C71C22semidirect
194. #482×C71C22semidirect
195. #482×C71C22semidirect
196. #481×C71C22semidirect
197. #480×C71C22semidirect
198. #427×C71C22semidirect
199. #427×C71C22semidirect
202. C2×C22⋊C8×C71C22semidirect
929. #3091D71semidirect
935. C71#60516semidirect
982. C2×#117C2×D71semidirect
997. #485C2×D71semidirect
998. #485C2×D71semidirect
1006. #484C2×D71semidirect
1014. #483C2×D71semidirect
1029. #482C2×D71semidirect
1030. #482C2×D71semidirect
1038. #481C2×D71semidirect
1046. #480C2×D71semidirect
1065. #427C2×D71semidirect
1066. #427C2×D71semidirect
1106. C2×C22⋊C8C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226016702
#226015412
#225983322
#225983302
#225983262
#225983242
#225983212
#225983192
#225983152
#225983132
#225983082
#225983062
#225983042
#225983022
#225982972
#225982952
#225982932
#225982912
#225982572
#225982552
#225982532
#225982512
#225982492
#225969282
#427×D712
#225968552
#416×D712
C2×#179859642
C71×#30912
#6051671