Finite Group Databasebeta

← #32874213

Subgroups — #32874213

Order 18176.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#11765865C211yesmaximal, characteristic, complemented
2#22600520C211yesmaximal, characteristic, complemented
3#22600505C211yesmaximal, characteristic, complemented
4#22600490C211yesmaximal, characteristic, complemented
5#22600475C211yesmaximal, characteristic, complemented
6#22600460C211yesmaximal, characteristic, complemented
7#22600445C211yesmaximal, characteristic, complemented
8#22600430C211yesmaximal, characteristic, complemented
9#22600415C211yesmaximal, characteristic, complemented
10#22600400C211yesmaximal, characteristic, complemented
11#22600385C211yesmaximal, characteristic, complemented
12#22600370C211yesmaximal, characteristic, complemented
13#22600355C211yesmaximal, characteristic, complemented
14#22600340C211yesmaximal, characteristic, complemented
15#22600325C211yesmaximal, characteristic, complemented
16#22600310C211yesmaximal, characteristic, complemented
17#22600295C211yesmaximal, characteristic, complemented
18#22598688C211yesmaximal, characteristic, complemented
19#22598253C211yesmaximal, characteristic, complemented
20#22598253C211yesmaximal, characteristic, complemented
21#22598122C211yesmaximal, characteristic, complemented
22#22597946C211yesmaximal, characteristic, complemented
23#22597918C211yesmaximal, characteristic, complemented
24#22597795C211yesmaximal, characteristic, complemented
25#22597556C211yesmaximal, characteristic, complemented
26#22597556C211yesmaximal, characteristic, complemented
27#22597138C211yesmaximal, characteristic, complemented
28C2×#17986071C211yesmaximal, characteristic, complemented
29#22596857C211yesmaximal, characteristic, complemented
30C2×#17985993C211yesmaximal, characteristic, complemented
31C71×#3475C211yesmaximal, characteristic, complemented
32C22×#11765865C2211yescharacteristic
33C22×#11765865C2211yescharacteristic
34C2×#14556148C2211yescharacteristic
35C2×#14556148C2211yescharacteristic, complemented
36C2×#14556148C2211yescharacteristic, complemented
37C22×#11765849C2211yescharacteristic, complemented
38C23×C71⋊C8C2211yescharacteristic, complemented
39#17986670C2211yescharacteristic
40D4×Dic142C2211yescharacteristic
41#17986658C2211yescharacteristic
42#17986658C2211yescharacteristic
43#17986654C2211yescharacteristic
44#17986650—21no—
45#17986645C2211yescharacteristic
46#17986645C2211yescharacteristic
47#17986639—21no—
48#17986639—21no—
49D4×D284C2211yescharacteristic
50D4×C22⋊D71—21no—
51#17986549C2211yescharacteristic
52#17986546—21no—
53#17986510C2211yescharacteristic
54#17986510C2211yescharacteristic
55#17986508—21no—
56#17986508—21no—
57C4×#11765865C2211yescharacteristic
58C4×D4×D71—21no—
59#17986369C2211yescharacteristic, complemented
60#17986369C2211yescharacteristic, complemented
61#17986365C2211yescharacteristic, complemented
62#17986365C2211yescharacteristic, complemented
63#17986361C2211yescharacteristic, complemented
64#17986361C2211yescharacteristic, complemented
65#17986361C2211yescharacteristic, complemented
66#17986361C2211yescharacteristic, complemented
67#17986340C2211yescharacteristic, complemented
68#17986340C2211yescharacteristic, complemented
69#17986340C2211yescharacteristic, complemented
70#17986340C2211yescharacteristic, complemented
71#17986334C2211yescharacteristic, complemented
72#17986334C2211yescharacteristic, complemented
73#17986329C2211yescharacteristic, complemented
74#17986329C2211yescharacteristic, complemented
75#17986323C2211yescharacteristic, complemented
76#17986323C2211yescharacteristic, complemented
77#17986323C2211yescharacteristic, complemented
78#17986323C2211yescharacteristic, complemented
79#17986317C2211yescharacteristic, complemented
80#17986317C2211yescharacteristic, complemented
81#17986312C2211yescharacteristic, complemented
82#17986312C2211yescharacteristic, complemented
83#17986303C2211yescharacteristic, complemented
84#17986303C2211yescharacteristic, complemented
85#17986296C2211yescharacteristic, complemented
86#17986296C2211yescharacteristic, complemented
87#17986291C2211yescharacteristic, complemented
88#17986286C2211yescharacteristic, complemented
89#17986281C2211yescharacteristic, complemented
90#17986276C2211yescharacteristic, complemented
91#17986255C2211yescharacteristic, complemented
92#17986255C2211yescharacteristic, complemented
93#17986250C2211yescharacteristic, complemented
94#17986250C2211yescharacteristic, complemented
95#17986247C2211yescharacteristic, complemented
96#17986247C2211yescharacteristic, complemented
97#17986243C2211yescharacteristic, complemented
98#17986243C2211yescharacteristic, complemented
99#17986238C2211yescharacteristic, complemented
100#17986238C2211yescharacteristic, complemented
101#17986233C2211yescharacteristic, complemented
102#17986233C2211yescharacteristic, complemented
103#17986230C2211yescharacteristic, complemented
104#17986230C2211yescharacteristic, complemented
105#17986226C2211yescharacteristic, complemented
106#17986226C2211yescharacteristic, complemented
107#17986221C2211yescharacteristic, complemented
108#17986221C2211yescharacteristic, complemented
109#17986214C2211yescharacteristic, complemented
110#17986214C2211yescharacteristic, complemented
111#17986209C2211yescharacteristic, complemented
112#17986204C2211yescharacteristic, complemented
113#17986199C2211yescharacteristic, complemented
114#17986194C2211yescharacteristic, complemented
115#17986159C2211yescharacteristic, complemented
116#17986159C2211yescharacteristic, complemented
117#17986159C2211yescharacteristic, complemented
118#17986159C2211yescharacteristic, complemented
119#17986154C2211yescharacteristic, complemented
120#17986154C2211yescharacteristic, complemented
121#17986149C2211yescharacteristic, complemented
122#17986149C2211yescharacteristic, complemented
123#17986142C2211yescharacteristic, complemented
124#17986142C2211yescharacteristic, complemented
125#17986142C2211yescharacteristic, complemented
126#17986142C2211yescharacteristic, complemented
127#17986137C2211yescharacteristic, complemented
128#17986137C2211yescharacteristic, complemented
129#17986132C2211yescharacteristic, complemented
130#17986132C2211yescharacteristic, complemented
131#17986109C2211yescharacteristic, complemented
132#17986109C2211yescharacteristic, complemented
133#17986104C2211yescharacteristic, complemented
134#17986104C2211yescharacteristic, complemented
135#17986099C2211yescharacteristic, complemented
136#17986099C2211yescharacteristic, complemented
137#17986097C2211yescharacteristic, complemented
138#17986097C2211yescharacteristic, complemented
139#17986071C2211yescharacteristic
140#17986071C2211yescharacteristic
141#17986071C2211yescharacteristic, complemented
142#17986071C2211yescharacteristic, complemented
143#17986071C2211yescharacteristic, complemented
144#17986071C2211yescharacteristic, complemented
145#17986071C2211yescharacteristic, complemented
146#17986071C2211yescharacteristic, complemented
147#17986035C2211yescharacteristic, complemented
148#17986035C2211yescharacteristic, complemented
149#17986035C2211yescharacteristic, complemented
150C2×C4⋊(C71⋊C8)C2211yescharacteristic, complemented
151#17986007C2211yescharacteristic, complemented
152#17986007C2211yescharacteristic, complemented
153#17986003C2211yescharacteristic, complemented
154#17986003C2211yescharacteristic, complemented
155#17985998C2211yescharacteristic, complemented
156#17985998C2211yescharacteristic, complemented
157#17985998C2211yescharacteristic, complemented
158#17985998C2211yescharacteristic, complemented
159#17985995C2211yescharacteristic, complemented
160#17985993C2211yescharacteristic
161#17985993C2211yescharacteristic
162#17985993C2211yescharacteristic
163#17985993C2211yescharacteristic, complemented
164#17985993C2211yescharacteristic, complemented
165#17985993C2211yescharacteristic, complemented
166#17985993C2211yescharacteristic, complemented
167#17985993C2211yescharacteristic, complemented
168#17985993C2211yescharacteristic, complemented
169#17985993C2211yescharacteristic, complemented
170#17985993C2211yescharacteristic, complemented
171#17985993C2211yescharacteristic, complemented
172#17985993C2211yescharacteristic, complemented
173C2×#14556051C2211yescharacteristic, complemented
174C2×#14556051C2211yescharacteristic, complemented
175C2×#14556048C2211yescharacteristic, complemented
176C2×#14556048C2211yescharacteristic, complemented
177C2×C22⋊(C71⋊C8)C2211yescharacteristic, complemented
178C2×C22⋊(C71⋊C8)C2211yescharacteristic, complemented
179C2×#14556039C2211yescharacteristic, complemented
180#556×C71C2211yescharacteristic, complemented
181#555×C71C2211yescharacteristic, complemented
182#554×C71C2211yescharacteristic, complemented
183#553×C71C2211yescharacteristic
184#553×C71C2211yescharacteristic, complemented
185#552×C71—21no—
186#552×C71C2211yescharacteristic
187#552×C71C2211yescharacteristic, complemented
188#551×C71—21no—
189#551×C71—21no—
190#547×C71C2211yescharacteristic, complemented
191#546×C71—21no—
192#533×C71C2211yescharacteristic, complemented
193#529×C71—21no—
194#529×C71—21no—
195#529×C71—21no—
196#525×C71C2211yescharacteristic, complemented
197#525×C71C2211yescharacteristic, complemented
198C4×#41×C71—21no—
199C4×#41×C71C2211yescharacteristic, complemented
200C2×C4×D4×C71C2211yescharacteristic
201C2×#117×C71C2211yescharacteristic, complemented
202C2×#117×C71C2211yescharacteristic, complemented
203C2×#11765865—24no—
204C2×#11765865—24no—
205C2×#11765865—21no—
206C2×#11765865—21no—
207C2×#11765865—21no—
208C2×#11765865—21no—
209C2×#11765865—42no—
210C2×#11765865—42no—
211C2×#11765865C2311yescharacteristic
212C2×#11765865C2311yescharacteristic
213C2×#11765865C2311yescharacteristic
214C2×#11765865C2311yescharacteristic
215C2×#11765865C2311yescharacteristic
216C2×#11765865C2311yescharacteristic
217C2×#11765865C2311yescharacteristic
218C22×Dic142C2311yescharacteristic
219C22×Dic142C2311yescharacteristic
220C22×D284C2311yescharacteristic
221C22×D284C2311yescharacteristic
222C22×C22⋊D71—21no—
223C22×C22⋊D71—21no—
224C2×D4×D71—21no—
225C22×C4×D71—21no—
226C22×C4×D71—21no—
227#14556148—24no—
228#14556148—42no—
229#14556148—42no—
230C2×#11765855C2311yescharacteristic
231C2×#11765855C2311yescharacteristic
232C2×#11765855C2311yescharacteristic
233C2×#11765853C2311yescharacteristic
234C2×#11765853C2311yescharacteristic
235C2×#11765853C2311yescharacteristic
236C2×#11765852C2311yescharacteristic
237C2×#11765852C2311yescharacteristic
238C2×#11765852C2311yescharacteristic
239C2×#11765850C2311yescharacteristic
240C2×#11765850C2311yescharacteristic
241C2×#11765850C2311yescharacteristic
242C2×#11765849—42no—
243C2×#11765849C2311yescharacteristic
244C2×#11765849C2311yescharacteristic
245C2×#11765849C2311yescharacteristic
246C2×#11765849C2311yescharacteristic
247C22×C71⋊C8—42no—
248C22×C71⋊C8C2311yescharacteristic
249C22×C71⋊C8C2311yescharacteristic
250C22×C71⋊C8C2311yescharacteristic
251C22×C71⋊C8C2311yescharacteristic
252C22×C71⋊C8C2311yescharacteristic
253C22×C71⋊C8C2311yescharacteristic
254C22×C71⋊C8C2311yescharacteristic
255C22×C71⋊C8C2311yescharacteristic
256#14556128C2311yescharacteristic
257#14556127—21no—
258#14556125C2311yescharacteristic
259#14556124—21no—
260#14556116C2311yescharacteristic
261#14556116C2311yescharacteristic
262#14556114—21no—
263#14556114—21no—
264#14556113—21no—
265#14556113—21no—
266#14556111—21no—
267#14556111—21no—
268#14556110—21no—
269#14556110—21no—
270#14556107C2311yescharacteristic
271#14556107C2311yescharacteristic
272#14556107C2311yescharacteristic
273#14556107C2311yescharacteristic
274#14556106—21no—
275#14556106—21no—
276#14556105—21no—
277#14556105—21no—
278#14556103—21no—
279#14556102—21no—
280#14556102—21no—
281#14556102C2311yescharacteristic
282#14556102C2311yescharacteristic
283#14556102C2311yescharacteristic
284#14556102C2311yescharacteristic
285#14556101—21no—
286#14556101—21no—
287#14556101—21no—
288#14556101—21no—
289#14556100—21no—
290#14556100—21no—
291#14556099—21no—
292#14556098—21no—
293#14556098—21no—
294#14556097—21no—
295#14556097—21no—
296#14556096—21no—
297#14556096—21no—
298C4×Dic142C2311yescharacteristic
299C4×Dic142C2311yescharacteristic
300C4×D284—21no—
301C4×D284—21no—
302C4×D284C2311yescharacteristic
303C4×D284C2311yescharacteristic
304D4×Dic71—21no—
305#14556090—21no—
306C4×C22⋊D71—21no—
307C4×C22⋊D71—21no—
308C4×C22⋊D71—21no—
309C4×C22⋊D71—21no—
310C4×C22⋊D71—21no—
311C4×C22⋊D71—21no—
312(C22⋊D71)⋊C4—21no—
313(C22⋊D71)⋊C4—21no—
314#14556087C2311yescharacteristic
315#14556085—21no—
316C4⋊C4×D71—21no—
317C22⋊C4×D71—21no—
318C22⋊C4×D71—21no—
319C42×D71—21no—
320#14556061C2311yescharacteristic
321#14556061C2311yescharacteristic
322#14556061C2311yescharacteristic
323#14556061C2311yescharacteristic
324#14556061C2311yescharacteristic
325#14556061C2311yescharacteristic
326#14556059C2311yescharacteristic
327#14556059C2311yescharacteristic
328#14556059C2311yescharacteristic
329#14556059C2311yescharacteristic
330#14556059C2311yescharacteristic
331#14556059C2311yescharacteristic
332C4⋊(C71⋊C8)C2311yescharacteristic
333C4⋊(C71⋊C8)C2311yescharacteristic
334C4⋊(C71⋊C8)C2311yescharacteristic
335C4⋊(C71⋊C8)C2311yescharacteristic
336#14556052C2311yescharacteristic
337#14556052C2311yescharacteristic
338#14556051C2311yescharacteristic
339#14556051C2311yescharacteristic
340#14556051C2311yescharacteristic
341#14556051C2311yescharacteristic
342#14556051C2311yescharacteristic
343#14556051C2311yescharacteristic
344#14556051C2311yescharacteristic
345#14556051C2311yescharacteristic
346#14556051C2311yescharacteristic
347#14556051C2311yescharacteristic
348#14556051C2311yescharacteristic
349#14556051C2311yescharacteristic
350#14556051C2311yescharacteristic
351#14556051C2311yescharacteristic
352#14556051C2311yescharacteristic
353#14556051C2311yescharacteristic
354#14556051C2311yescharacteristic
355#14556051C2311yescharacteristic
356#14556049C2311yescharacteristic
357#14556049C2311yescharacteristic
358#14556048C2311yescharacteristic
359#14556048C2311yescharacteristic
360#14556048C2311yescharacteristic
361#14556048C2311yescharacteristic
362#14556048C2311yescharacteristic
363#14556048C2311yescharacteristic
364#14556048C2311yescharacteristic
365#14556048C2311yescharacteristic
366#14556048C2311yescharacteristic
367#14556048C2311yescharacteristic
368#14556048C2311yescharacteristic
369#14556048C2311yescharacteristic
370#14556048C2311yescharacteristic
371#14556048C2311yescharacteristic
372#14556048C2311yescharacteristic
373#14556048C2311yescharacteristic
374#14556048C2311yescharacteristic
375#14556048C2311yescharacteristic
376C22⋊(C71⋊C8)C2311yescharacteristic
377C22⋊(C71⋊C8)C2311yescharacteristic
378C22⋊(C71⋊C8)C2311yescharacteristic
379C22⋊(C71⋊C8)C2311yescharacteristic
380C22⋊(C71⋊C8)C2311yescharacteristic
381C22⋊(C71⋊C8)C2311yescharacteristic
382C22⋊(C71⋊C8)C2311yescharacteristic
383C22⋊(C71⋊C8)C2311yescharacteristic
384#14556039C2311yescharacteristic
385#14556039C2311yescharacteristic
386#14556039C2311yescharacteristic
387#14556039C2311yescharacteristic
388C2×#41×C71—21no—
389C2×#41×C71C2311yescharacteristic
390C22×D4×C71D411yescharacteristic
391C23×C4×C71C2311yescharacteristic
392C23×C4×C71C2311yescharacteristic
393C4⋊Q8×C71C2311yescharacteristic
394C4⋊Q8×C71C2311yescharacteristic
395#126×C71—21no—
396#126×C71—21no—
397#126×C71—21no—
398#126×C71—21no—
399#126×C71—21no—
400#126×C71—21no—
401#125×C71—21no—
402#125×C71—21no—
403#125×C71—21no—
404#125×C71C2311yescharacteristic
405#125×C71C2311yescharacteristic
406#124×C71—21no—
407#124×C71—21no—
408#124×C71—21no—
409#123×C71—21no—
410#123×C71—21no—
411#123×C71—21no—
412#123×C71—21no—
413#123×C71—21no—
414#123×C71—21no—
415#123×C71—21no—
416#123×C71—21no—
417C22⋊Q8×C71—21no—
418C22⋊Q8×C71—21no—
419C22⋊Q8×C71—21no—
420C22⋊Q8×C71—21no—
421C22⋊Q8×C71—21no—
422C22⋊Q8×C71C2311yescharacteristic
423C22⋊Q8×C71C2311yescharacteristic
424C22⋊Q8×C71C2311yescharacteristic
425C22⋊Q8×C71C2311yescharacteristic
426#121×C71—21no—
427#121×C71—21no—
428#121×C71—21no—
429#121×C71C2311yescharacteristic
430#121×C71C2311yescharacteristic
431#121×C71C2311yescharacteristic
432#121×C71C2311yescharacteristic
433#120×C71—21no—
434#120×C71—21no—
435C4×Q8×C71—21no—
436C4×Q8×C71—21no—
437C4×Q8×C71—21no—
438C4×Q8×C71C2311yescharacteristic
439C4×Q8×C71C2311yescharacteristic
440C4×D4×C71—21no—
441C4×D4×C71—21no—
442C4×D4×C71—21no—
443C4×D4×C71—21no—
444C4×D4×C71—21no—
445C4×D4×C71—21no—
446C4×D4×C71—21no—
447C4×D4×C71—21no—
448C4×D4×C71—21no—
449C4×D4×C71D411yescharacteristic
450C4×D4×C71D411yescharacteristic
451C4×D4×C71D411yescharacteristic
452C4×D4×C71D411yescharacteristic
453C4×D4×C71C2311yescharacteristic
454C4×D4×C71C2311yescharacteristic
455C4×D4×C71C2311yescharacteristic
456C4×D4×C71C2311yescharacteristic
457C4×D4×C71C2311yescharacteristic
458C4×D4×C71C2311yescharacteristic
459#117×C71—21no—
460#117×C71—21no—
461#117×C71—21no—
462#117×C71—21no—
463#117×C71—21no—
464#117×C71—21no—
465#117×C71—21no—
466#117×C71—21no—
467#117×C71C2311yescharacteristic
468#117×C71C2311yescharacteristic
469#117×C71C2311yescharacteristic
470#117×C71C2311yescharacteristic
471#117×C71C2311yescharacteristic
472#117×C71C2311yescharacteristic
473#117×C71C2311yescharacteristic
474C2×C4⋊C4×C71D411yescharacteristic
475C2×C4⋊C4×C71C2311yescharacteristic
476C2×C4⋊C4×C71C2311yescharacteristic
477C2×C4⋊C4×C71C2311yescharacteristic
478C2×C4⋊C4×C71C2311yescharacteristic
479C2×C22⋊C4×C71—21no—
480C2×C22⋊C4×C71—21no—
481C2×C22⋊C4×C71D411yescharacteristic
482C2×C22⋊C4×C71D411yescharacteristic
483C2×C42×C71—21no—
484C2×C42×C71—21no—
485C2×C42×C71—21no—
486C2×C42×C71C2311yescharacteristic
487C23×D71—21no—
488C23×D71—21no—
489#11765865—22no—
490#11765865—22no—
491#11765865—22no—
492#11765865—22no—
493#11765865—22no—
494#11765865—22no—
495#11765865—22no—
496#11765865—22no—
497#11765865—22no—
498#11765865—41no—
499#11765865—41no—
500#11765865—41no—
501#11765865—41no—
502#11765865—44no—
503#11765865—44no—
504#11765865—44no—
505#11765865—44no—
506#11765865#4114yescomplemented
507C2×Dic142—22no—
508C2×Dic142—22no—
509C2×Dic142—21no—
510C2×Dic142—21no—
511C2×Dic142—41no—
512C2×Dic142—41no—
513C2×Dic142C2411yescharacteristic
514C2×Dic142C2411yescharacteristic
515C2×Dic142C2411yescharacteristic
516C2×D284—22no—
517C2×D284—22no—
518C2×D284—21no—
519C2×D284—21no—
520C2×D284—21no—
521C2×D284—21no—
522C2×D284—41no—
523C2×D284—41no—
524C2×D284C2411yescharacteristic
525C2×D284C2411yescharacteristic
526C2×D284C2411yescharacteristic
527C2×C22⋊D71—21no—
528C2×C22⋊D71—21no—
529C2×C22⋊D71—21no—
530C2×C22⋊D71—21no—
531C2×C22⋊D71—21no—
532C2×C22⋊D71—21no—
533C2×C22⋊D71—21no—
534C2×C22⋊D71—21no—
535C2×C22⋊D71—21no—
536C2×C22⋊D71—21no—
537C2×C22⋊D71—21no—
538C2×C22⋊D71—44no—
539C2×C22⋊D71—44no—
540D4×D71—44no—
541C22×Dic71—21no—
542C22×Dic71—21no—
543C2×C4×D71—21no—
544C2×C4×D71—21no—
545C2×C4×D71—21no—
546C2×C4×D71—21no—
547C2×C4×D71—21no—
548C2×C4×D71—21no—
549C2×C4×D71—21no—
550C2×C4×D71—21no—
551C2×C4×D71—21no—
552C2×C4×D71—44no—
553C2×C4×D71—44no—
554#11765855—22no—
555#11765855—41no—
556#11765855—41no—
557#11765853—22no—
558#11765853—41no—
559#11765853—41no—
560#11765852—22no—
561#11765852—41no—
562#11765852—41no—
563#11765850—22no—
564#11765850—41no—
565#11765850—41no—
566#11765849—41no—
567#11765849—41no—
568#11765849—41no—
569#11765849—41no—
570C2×C71⋊C8—22no—
571C2×C71⋊C8—22no—
572C2×C71⋊C8—22no—
573C2×C71⋊C8—22no—
574C2×C71⋊C8—41no—
575C2×C71⋊C8—41no—
576C2×C71⋊C8—41no—
577C2×C71⋊C8—41no—
578C2×C71⋊C8C2411yescharacteristic
579C2×C71⋊C8C2411yescharacteristic
580C2×C71⋊C8C2411yescharacteristic
581C2×C71⋊C8C2411yescharacteristic
582C2×C71⋊C8C2411yescharacteristic
583C2×C71⋊C8C2411yescharacteristic
584C2×C71⋊C8C2411yescharacteristic
585C2×C71⋊C8C2411yescharacteristic
586C4⋊Dic71—21no—
587C4⋊Dic71—21no—
588C4⋊Dic71C2411yescharacteristic
589C4⋊Dic71C2411yescharacteristic
590Dic71⋊C4—21no—
591Dic71⋊C4—21no—
592Dic71⋊C4—21no—
593Dic71⋊C4—21no—
594Dic71⋊C4—21no—
595Dic71⋊C4—21no—
596C22⋊Dic71—21no—
597C22⋊Dic71—21no—
598C22⋊Dic71—21no—
599C22⋊Dic71—21no—
600C22⋊Dic71—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—
611C4×Dic71—21no—
612C4×Dic71—21no—
613C4×Dic71—21no—
614C24×C71C2×D411yescharacteristic
615C24×C71C2×D411yescharacteristic
616#41×C71—22no—
617#41×C71—22no—
618#41×C71—44no—
619C2×Q8×C71—21no—
620C2×Q8×C71—21no—
621C2×Q8×C71C2411yescharacteristic
622C2×D4×C71—21no—
623C2×D4×C71—21no—
624C2×D4×C71—21no—
625C2×D4×C71—21no—
626C2×D4×C71—21no—
627C2×D4×C71—42no—
628C2×D4×C71C2×D411yescharacteristic
629C2×D4×C71C2×D411yescharacteristic
630C2×D4×C71C2×D411yescharacteristic
631C2×D4×C71C2×D411yescharacteristic
632C2×D4×C71C2411yescharacteristic
633C22×C4×C71—22no—
634C22×C4×C71—22no—
635C22×C4×C71—22no—
636C22×C4×C71—22no—
637C22×C4×C71—21no—
638C22×C4×C71—21no—
639C22×C4×C71—21no—
640C22×C4×C71—21no—
641C22×C4×C71—21no—
642C22×C4×C71—21no—
643C22×C4×C71—21no—
644C22×C4×C71C2×D411yescharacteristic
645C22×C4×C71C2×D411yescharacteristic
646C22×C4×C71C2×D411yescharacteristic
647C22×C4×C71C2×D411yescharacteristic
648C22×C4×C71C2×D411yescharacteristic
649C22×C4×C71C2×D411yescharacteristic
650C22×C4×C71C2×D411yescharacteristic
651C22×C4×C71C2×D411yescharacteristic
652C22×C4×C71C2411yescharacteristic
653C22×C4×C71C2411yescharacteristic
654C22×C4×C71C2411yescharacteristic
655C22×C4×C71C2411yescharacteristic
656C22×C4×C71C2411yescharacteristic
657C4⋊C4×C71—21no—
658C4⋊C4×C71—21no—
659C4⋊C4×C71—21no—
660C4⋊C4×C71—21no—
661C4⋊C4×C71—21no—
662C4⋊C4×C71—21no—
663C4⋊C4×C71—21no—
664C4⋊C4×C71—21no—
665C4⋊C4×C71—21no—
666C4⋊C4×C71—21no—
667C4⋊C4×C71—21no—
668C4⋊C4×C71—21no—
669C4⋊C4×C71—21no—
670C4⋊C4×C71—21no—
671C4⋊C4×C71—21no—
672C4⋊C4×C71—21no—
673C4⋊C4×C71C2×D411yescharacteristic
674C4⋊C4×C71C2×D411yescharacteristic
675C4⋊C4×C71C2×D411yescharacteristic
676C4⋊C4×C71C2×D411yescharacteristic
677C4⋊C4×C71C2411yescharacteristic
678C4⋊C4×C71C2411yescharacteristic
679C4⋊C4×C71C2411yescharacteristic
680C4⋊C4×C71C2411yescharacteristic
681C4⋊C4×C71C2411yescharacteristic
682C4⋊C4×C71C2411yescharacteristic
683C22⋊C4×C71—21no—
684C22⋊C4×C71—21no—
685C22⋊C4×C71—21no—
686C22⋊C4×C71—21no—
687C22⋊C4×C71—21no—
688C22⋊C4×C71—21no—
689C22⋊C4×C71—21no—
690C22⋊C4×C71—21no—
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—
700C22⋊C4×C71C2×D411yescharacteristic
701C22⋊C4×C71C2×D411yescharacteristic
702C22⋊C4×C71C2×D411yescharacteristic
703C22⋊C4×C71C2×D411yescharacteristic
704C22⋊C4×C71C2×D411yescharacteristic
705C22⋊C4×C71C2×D411yescharacteristic
706C22⋊C4×C71C2×D411yescharacteristic
707C22⋊C4×C71C2×D411yescharacteristic
708C42×C71—21no—
709C42×C71—21no—
710C42×C71—21no—
711C42×C71—21no—
712C42×C71—21no—
713C42×C71—21no—
714C42×C71—21no—
715C42×C71—21no—
716C42×C71—21no—
717C42×C71C2×D411yescharacteristic
718C42×C71C2×D411yescharacteristic
719C42×C71C2411yescharacteristic
720C42×C71C2411yescharacteristic
721C23×C71—22no—
722C23×C71—22no—
723C23×C71—22no—
724C23×C71—21no—
725C23×C71—41no—
726C23×C71—41no—
727C23×C71—41no—
728C23×C71C22×D411yescharacteristic
729C23×C71C22×D411yescharacteristic
730C23×C71C22×D411yescharacteristic
731C23×C71C22×D411yescharacteristic
732C23×C71C22×D411yescharacteristic
733C22×D71—21no—
734C22×D71—21no—
735C22×D71—21no—
736C22×D71—42no—
737C22×D71—42no—
738C22×D71—42no—
739C22×D71—42no—
740C22×D71—81no—
741C22×D71—81no—
742Q8×C71—21no—
743Q8×C71—21no—
744Q8×C71—42no—
745Q8×C71—81no—
746D4×C71—22no—
747D4×C71—22no—
748D4×C71—21no—
749D4×C71—21no—
750D4×C71—41no—
751D4×C71—41no—
752D4×C71—42no—
753D4×C71—42no—
754D4×C71—42no—
755D4×C71—81no—
756D4×C71—81no—
757C2×C4×C71—22no—
758C2×C4×C71—22no—
759C2×C4×C71—22no—
760C2×C4×C71—22no—
761C2×C4×C71—22no—
762C2×C4×C71—22no—
763C2×C4×C71—21no—
764C2×C4×C71—21no—
765C2×C4×C71—21no—
766C2×C4×C71—21no—
767C2×C4×C71—21no—
768C2×C4×C71—21no—
769C2×C4×C71—21no—
770C2×C4×C71—21no—
771C2×C4×C71—21no—
772C2×C4×C71—21no—
773C2×C4×C71—21no—
774C2×C4×C71—21no—
775C2×C4×C71—21no—
776C2×C4×C71—21no—
777C2×C4×C71—21no—
778C2×C4×C71—41no—
779C2×C4×C71—41no—
780C2×C4×C71—42no—
781C2×C4×C71—42no—
782C2×C4×C71—42no—
783C2×C4×C71—42no—
784C2×C4×C71—81no—
785C2×C4×C71—81no—
786C2×C4×C71—81no—
787C2×C4×C71C22×D411yescharacteristic
788C2×C4×C71C22×D411yescharacteristic
789C2×C4×C71C22×D411yescharacteristic
790C2×C4×C71C22×D411yescharacteristic
791C2×C4×C71C22×D411yescharacteristic
792C2×C4×C71C22×D411yescharacteristic
793C2×C4×C71C22×D411yescharacteristic
794C2×C4×C71C22×D411yescharacteristic
795C2×C4×C71C22×D411yescharacteristic
796C2×C4×C71C2×#4112yes—
797C2×C4×C71H(5,𝔽2)12yes—
798C2×C4×C71C2511yescharacteristic
799C22⋊D71—24no—
800C22⋊D71—42no—
801C22⋊D71—42no—
802C22⋊D71—42no—
803C22⋊D71—42no—
804C22⋊D71—42no—
805C22⋊D71—42no—
806C22⋊D71—42no—
807C22⋊D71—42no—
808C22⋊D71—81no—
809C22⋊D71—81no—
810C2×Dic71—21no—
811C2×Dic71—21no—
812C2×Dic71—21no—
813C2×Dic71—21no—
814C2×Dic71—21no—
815C2×Dic71—42no—
816C2×Dic71—42no—
817D284—21no—
818D284—21no—
819D284—21no—
820D284—21no—
821D284—21no—
822D284—42no—
823D284—42no—
824D284—42no—
825D284—81no—
826D284C2×#4112yes—
827C4×D71—24no—
828C4×D71—42no—
829C4×D71—42no—
830C4×D71—42no—
831C4×D71—42no—
832C4×D71—42no—
833C4×D71—42no—
834C4×D71—42no—
835C4×D71—81no—
836Dic142—21no—
837Dic142—21no—
838Dic142—21no—
839Dic142—21no—
840Dic142—21no—
841Dic142—42no—
842Dic142—42no—
843Dic142C2×#4112yes—
844C71⋊C8—21no—
845C71⋊C8—21no—
846C71⋊C8—21no—
847C71⋊C8—21no—
848C71⋊C8—21no—
849C71⋊C8—21no—
850C71⋊C8—21no—
851C71⋊C8—21no—
852C22×C71—21no—
853C22×C71—21no—
854C22×C71—21no—
855C22×C71—21no—
856C22×C71—21no—
857C22×C71—21no—
858C22×C71—21no—
859C22×C71—21no—
860C22×C71—21no—
861C22×C71—21no—
862C22×C71—21no—
863C22×C71—21no—
864C22×C71—21no—
865C22×C71—44no—
866C22×C71—41no—
867C22×C71—41no—
868C22×C71—41no—
869C22×C71—82no—
870C22×C71#54612yes—
871C22×C71#57512yes—
872C22×C71C23×D411yescharacteristic
873C2×D71—22no—
874C2×D71—41no—
875C2×D71—41no—
876C2×D71—41no—
877C2×D71—41no—
878C2×D71—41no—
879C2×D71—41no—
880C2×D71—41no—
881C2×D71—41no—
882C2×D71—84no—
883C2×D71—84no—
884C4×C71—21no—
885C4×C71—21no—
886C4×C71—21no—
887C4×C71—21no—
888C4×C71—21no—
889C4×C71—21no—
890C4×C71—21no—
891C4×C71—21no—
892C4×C71—41no—
893C4×C71—41no—
894C4×C71—41no—
895C4×C71—41no—
896C4×C71—41no—
897C4×C71—41no—
898C4×C71—41no—
899C4×C71#54612yes—
900C4×C71C22×#4111yescharacteristic
901C4×C71C2×H(5,𝔽2)11yescharacteristic
902Dic71—22no—
903Dic71—41no—
904Dic71—41no—
905Dic71—41no—
906Dic71—41no—
907#61141—711nomaximal, Sylow
908C2×C71—22no—
909C2×C71—22no—
910C2×C71—41no—
911C2×C71—41no—
912C2×C71—41no—
913C2×C71—81no—
914C2×C71C2×#54611yescharacteristic
915C2×C71C2×#57511yescharacteristic
916C2×C71#358411yescharacteristic
917D71—42no—
918D71—81no—
919D71—81no—
920#3475D7111yescharacteristic, complemented
921D4×#41—711no—
922#3321—711no—
923#3320—711no—
924#3319—711no—
925#3318—711no—
926#3317—711no—
927#3316—711no—
928#3315—711no—
929#3314—711no—
930#3313—711no—
931#3312—711no—
932#3311—711no—
933#3310—711no—
934#3309—711no—
935#3308—711no—
936#3307—711no—
937#3306—711no—
938#3135—711no—
939#3091—711no—
940#3091—711no—
941#3076—711no—
942#3054—711no—
943#3050—711no—
944#3035—711no—
945#3002—711no—
946#3002—711no—
947#2943—711no—
948C2×#435—711no—
949#2896—711no—
950C2×#416—711no—
951C71#6114111yescharacteristic, complemented, Sylow
952C22×#41—711no—
953C22×#41—711no—
954C2×#135—711no—
955C2×#135—711no—
956C2×#135—711no—
957C22×M16—711no—
958C23×C8—711no—
959#556C2×D7111yescharacteristic, complemented
960#555C2×D7111yescharacteristic, complemented
961#554C2×D7111yescharacteristic, complemented
962#553C2×D7111yescharacteristic
963#553C2×D7111yescharacteristic, complemented
964#552—21no—
965#552C2×D7111yescharacteristic
966#552C2×D7111yescharacteristic, complemented
967#551—21no—
968#551—21no—
969#550—711no—
970D4×Q8—711no—
971#548—711no—
972#548—711no—
973#547—711no—
974#547—1421no—
975#547C2×D7111yescharacteristic, complemented
976#546—21no—
977#546—711no—
978#546—711no—
979#546—1421no—
980#546—1421no—
981D42—711no—
982D42—1421no—
983#533C2×D7111yescharacteristic, complemented
984#532—711no—
985#532—1421no—
986#529—21no—
987#529—21no—
988#529—21no—
989#525—711no—
990#525—711no—
991#525—1421no—
992#525—1421no—
993#525C2×D7111yescharacteristic, complemented
994#525C2×D7111yescharacteristic, complemented
995C4×#41—21no—
996C4×#41—711no—
997C4×#41C2×D7111yescharacteristic, complemented
998C2×C4×D4—1421no—
999C2×C4×D4C2×D7111yescharacteristic
1000C2×#117C2×D7111yescharacteristic, complemented
1001C2×#117C2×D7111yescharacteristic, complemented
1002#491—711no—
1003#491—711no—
1004#490—711no—
1005#490—711no—
1006#489—711no—
1007#489—711no—
1008#489—711no—
1009#489—711no—
1010#485—711no—
1011#485—711no—
1012#485—711no—
1013#485—711no—
1014#484—711no—
1015#484—711no—
1016#483—711no—
1017#483—711no—
1018#482—711no—
1019#482—711no—
1020#482—711no—
1021#482—711no—
1022#481—711no—
1023#481—711no—
1024#480—711no—
1025#480—711no—
1026#479—711no—
1027#479—711no—
1028#478—711no—
1029#478—711no—
1030#477—711no—
1031#476—711no—
1032#475—711no—
1033#474—711no—
1034#470—711no—
1035#470—711no—
1036#469—711no—
1037#469—711no—
1038#468—711no—
1039#468—711no—
1040#468—711no—
1041#468—711no—
1042#467—711no—
1043#467—711no—
1044#466—711no—
1045#466—711no—
1046#465—711no—
1047#465—711no—
1048#465—711no—
1049#465—711no—
1050#464—711no—
1051#464—711no—
1052#463—711no—
1053#463—711no—
1054#462—711no—
1055#461—711no—
1056#460—711no—
1057#459—711no—
1058#452—711no—
1059#452—711no—
1060#452—711no—
1061#452—711no—
1062#451—711no—
1063#451—711no—
1064#450—711no—
1065#450—711no—
1066#449—711no—
1067#449—711no—
1068#449—711no—
1069#449—711no—
1070#448—711no—
1071#448—711no—
1072#447—711no—
1073#447—711no—
1074#442—711no—
1075#442—711no—
1076#441—711no—
1077#441—711no—
1078#440—711no—
1079#440—711no—
1080#440—711no—
1081#440—711no—
1082#435—711no—
1083#435—711no—
1084#435—711no—
1085#435—711no—
1086#435—711no—
1087#435—711no—
1088#435—711no—
1089#435—711no—
1090#427—711no—
1091#427—711no—
1092#427—711no—
1093C2×C4⋊C8—711no—
1094#419—711no—
1095#419—711no—
1096#418—711no—
1097#418—711no—
1098#417—711no—
1099#417—711no—
1100#417—711no—
1101#417—711no—
1102#416—711no—
1103#416—711no—
1104#416—711no—
1105#416—711no—
1106#416—711no—
1107#416—711no—
1108#416—711no—
1109#416—711no—
1110#416—711no—
1111#416—711no—
1112#416—711no—
1113#416—711no—
1114#416—711no—
1115#416—711no—
1116C2×#103—711no—
1117C2×#103—711no—
1118C2×#102—711no—
1119C2×#102—711no—
1120C2×C22⋊C8—711no—
1121C2×C22⋊C8—711no—
1122C2×#97—711no—
1123C2×#41—21no—
1124C2×#41—2842no—
1125C2×#41—2842no—
1126C2×#41—711no—
1127C2×#41—711no—
1128C2×#41—711no—
1129C2×#41—711no—
1130C2×#41—711no—
1131C2×#41—711no—
1132C2×#41—711no—
1133C2×#41—1424no—
1134C2×#41—1424no—
1135C2×#41—1421no—
1136C2×#41—1421no—
1137C2×#41—1421no—
1138C2×#41—1421no—
1139C2×#41C22×D7111yescharacteristic
1140C22×Q8—711no—
1141C22×Q8—711no—
1142C22×D4—711no—
1143C22×D4—711no—
1144C22×D4—1421no—
1145C22×D4—1421no—
1146C22×D4—1421no—
1147C22×D4C22⋊D7111yescharacteristic
1148C23×C4—1421no—
1149C23×C4—1421no—
1150C23×C4C22×D7111yescharacteristic
1151C23×C4C22×D7111yescharacteristic
1152#135—2842no—
1153#135—2842no—
1154#135—1424no—
1155C2×Q16—711no—
1156C2×Q16—711no—
1157C2×Q16—711no—
1158C2×SD16—711no—
1159C2×SD16—711no—
1160C2×SD16—711no—
1161C2×SD16—711no—
1162C2×SD16—711no—
1163C2×SD16—711no—
1164C2×D8—711no—
1165C2×D8—711no—
1166C2×D8—711no—
1167C2×M16—2842no—
1168C2×M16—711no—
1169C2×M16—711no—
1170C2×M16—711no—
1171C2×M16—711no—
1172C22×C8—2842no—
1173C22×C8—711no—
1174C22×C8—711no—
1175C22×C8—711no—
1176C22×C8—711no—
1177C22×C8—711no—
1178C22×C8—711no—
1179C22×C8—711no—
1180C22×C8—711no—
1181C4⋊Q8—711no—
1182C4⋊Q8—1421no—
1183C4⋊Q8C22×D7111yescharacteristic
1184C4⋊Q8C22×D7111yescharacteristic
1185#127—711no—
1186#127—1421no—
1187#126—21no—
1188#126—21no—
1189#126—21no—
1190#126—21no—
1191#126—21no—
1192#126—21no—
1193#125—21no—
1194#125—21no—
1195#125—21no—
1196#125C22×D7111yescharacteristic
1197#125C22×D7111yescharacteristic
1198#124—21no—
1199#124—21no—
1200#124—21no—
1201#124—711no—
1202#124—711no—
1203#124—1421no—
1204#124—1421no—
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—21no—
1210#123—21no—
1211#123—21no—
1212#123—21no—
1213#123—1421no—
1214#123—1421no—
1215#123—1421no—
1216#123—1421no—
1217#123—1421no—
1218#123—1421no—
1219C22⋊Q8—21no—
1220C22⋊Q8—21no—
1221C22⋊Q8—21no—
1222C22⋊Q8—21no—
1223C22⋊Q8—21no—
1224C22⋊Q8—711no—
1225C22⋊Q8—711no—
1226C22⋊Q8—711no—
1227C22⋊Q8—711no—
1228C22⋊Q8—1421no—
1229C22⋊Q8—1421no—
1230C22⋊Q8—1421no—
1231C22⋊Q8—1421no—
1232C22⋊Q8C22×D7111yescharacteristic
1233C22⋊Q8C22×D7111yescharacteristic
1234C22⋊Q8C22×D7111yescharacteristic
1235C22⋊Q8C22×D7111yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—711no—
1240#121—711no—
1241#121—711no—
1242#121—711no—
1243#121—1421no—
1244#121—1421no—
1245#121—1421no—
1246#121—1421no—
1247#121—1421no—
1248#121—1421no—
1249#121—1421no—
1250#121—1421no—
1251#121—1421no—
1252#121—1421no—
1253#121C22×D7111yescharacteristic
1254#121C22×D7111yescharacteristic
1255#121C22×D7111yescharacteristic
1256#121C22×D7111yescharacteristic
1257#120—21no—
1258#120—21no—
1259#120—1421no—
1260#120—1421no—
1261#120—1421no—
1262#120—1421no—
1263#120—1421no—
1264#120—1421no—
1265C4×Q8—21no—
1266C4×Q8—21no—
1267C4×Q8—21no—
1268C4×Q8—711no—
1269C4×Q8—711no—
1270C4×Q8C22×D7111yescharacteristic
1271C4×Q8C22×D7111yescharacteristic
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—711no—
1282C4×D4—711no—
1283C4×D4—1421no—
1284C4×D4—1421no—
1285C4×D4—1421no—
1286C4×D4—1421no—
1287C4×D4—1421no—
1288C4×D4—1421no—
1289C4×D4—1421no—
1290C4×D4—1421no—
1291C4×D4—1421no—
1292C4×D4—1421no—
1293C4×D4—1421no—
1294C4×D4—1421no—
1295C4×D4C22⋊D7111yescharacteristic
1296C4×D4C22⋊D7111yescharacteristic
1297C4×D4C22⋊D7111yescharacteristic
1298C4×D4C22⋊D7111yescharacteristic
1299C4×D4C22×D7111yescharacteristic
1300C4×D4C22×D7111yescharacteristic
1301C4×D4C22×D7111yescharacteristic
1302C4×D4C22×D7111yescharacteristic
1303C4×D4C22×D7111yescharacteristic
1304C4×D4C22×D7111yescharacteristic
1305#117—21no—
1306#117—21no—
1307#117—21no—
1308#117—21no—
1309#117—21no—
1310#117—21no—
1311#117—21no—
1312#117—21no—
1313#117—711no—
1314#117—1421no—
1315#117C22×D7111yescharacteristic
1316#117C22×D7111yescharacteristic
1317#117C22×D7111yescharacteristic
1318#117C22×D7111yescharacteristic
1319#117C22×D7111yescharacteristic
1320#117C22×D7111yescharacteristic
1321#117C22×D7111yescharacteristic
1322C2×C4⋊C4—1421no—
1323C2×C4⋊C4C22⋊D7111yescharacteristic
1324C2×C4⋊C4C22×D7111yescharacteristic
1325C2×C4⋊C4C22×D7111yescharacteristic
1326C2×C4⋊C4C22×D7111yescharacteristic
1327C2×C4⋊C4C22×D7111yescharacteristic
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—21no—
1330C2×C22⋊C4—1421no—
1331C2×C22⋊C4—1421no—
1332C2×C22⋊C4C22⋊D7111yescharacteristic
1333C2×C22⋊C4C22⋊D7111yescharacteristic
1334C2×C42—21no—
1335C2×C42—21no—
1336C2×C42—21no—
1337C2×C42—1421no—
1338C2×C42C22×D7111yescharacteristic
1339#107—711no—
1340#107—711no—
1341#107—711no—
1342#107—711no—
1343#107—711no—
1344#107—711no—
1345#106—711no—
1346#106—711no—
1347#106—711no—
1348#106—711no—
1349#106—711no—
1350#106—711no—
1351C4⋊C8—711no—
1352C4⋊C8—711no—
1353C4⋊C8—711no—
1354C4⋊C8—711no—
1355#103—711no—
1356#103—711no—
1357#103—711no—
1358#103—711no—
1359#103—711no—
1360#103—711no—
1361#103—711no—
1362#103—711no—
1363#103—711no—
1364#103—711no—
1365#103—711no—
1366#103—711no—
1367#103—711no—
1368#103—711no—
1369#103—711no—
1370#103—711no—
1371#103—711no—
1372#103—711no—
1373#103—711no—
1374#103—711no—
1375#102—711no—
1376#102—711no—
1377#102—711no—
1378#102—711no—
1379#102—711no—
1380#102—711no—
1381#102—711no—
1382#102—711no—
1383#102—711no—
1384#102—711no—
1385#102—711no—
1386#102—711no—
1387#102—711no—
1388#102—711no—
1389#102—711no—
1390#102—711no—
1391#102—711no—
1392#102—711no—
1393#102—711no—
1394#102—711no—
1395C22⋊C8—711no—
1396C22⋊C8—711no—
1397C22⋊C8—711no—
1398C22⋊C8—711no—
1399C22⋊C8—711no—
1400C22⋊C8—711no—
1401C22⋊C8—711no—
1402C22⋊C8—711no—
1403#97—711no—
1404#97—711no—
1405#97—711no—
1406#97—711no—
1407C24—1421no—
1408C24—1421no—
1409C24C2×C22⋊D7111yescharacteristic
1410C24C2×C22⋊D7111yescharacteristic
1411#41—22no—
1412#41—22no—
1413#41—44no—
1414#41—2844no—
1415#41—2844no—
1416#41—2841no—
1417#41—2841no—
1418#41—2841no—
1419#41—2841no—
1420#41—2844no—
1421#41—2844no—
1422#41—714no—
1423#41—1422no—
1424#41—1422no—
1425#41—1422no—
1426#41—1422no—
1427#41—1422no—
1428#41—1422no—
1429#41—1422no—
1430#41—1422no—
1431#41—1422no—
1432C2×Q8—21no—
1433C2×Q8—21no—
1434C2×Q8—2841no—
1435C2×Q8—2841no—
1436C2×Q8—711no—
1437C2×Q8—711no—
1438C2×Q8—711no—
1439C2×Q8—1422no—
1440C2×Q8—1422no—
1441C2×Q8—1421no—
1442C2×Q8—1421no—
1443C2×Q8C23×D7111yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—42no—
1450C2×D4—2841no—
1451C2×D4—2841no—
1452C2×D4—2844no—
1453C2×D4—2844no—
1454C2×D4—2844no—
1455C2×D4—711no—
1456C2×D4—711no—
1457C2×D4—711no—
1458C2×D4—1422no—
1459C2×D4—1422no—
1460C2×D4—1421no—
1461C2×D4—1421no—
1462C2×D4—1421no—
1463C2×D4—1421no—
1464C2×D4—1421no—
1465C2×D4—1421no—
1466C2×D4—1421no—
1467C2×D4—1421no—
1468C2×D4—1421no—
1469C2×D4—1421no—
1470C2×D4—1421no—
1471C2×D4—1421no—
1472C2×D4—1421no—
1473C2×D4—1421no—
1474C2×D4—1421no—
1475C2×D4C2×C22⋊D7111yescharacteristic
1476C2×D4C2×C22⋊D7111yescharacteristic
1477C2×D4C2×C22⋊D7111yescharacteristic
1478C2×D4C2×C22⋊D7111yescharacteristic
1479C2×D4C23×D7111yescharacteristic
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—2844no—
1492C22×C4—2844no—
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×C4—1421no—
1502C22×C4—1421no—
1503C22×C4—1421no—
1504C22×C4C2×C22⋊D7111yescharacteristic
1505C22×C4C2×C22⋊D7111yescharacteristic
1506C22×C4C2×C22⋊D7111yescharacteristic
1507C22×C4C2×C22⋊D7111yescharacteristic
1508C22×C4C2×C22⋊D7111yescharacteristic
1509C22×C4C2×C22⋊D7111yescharacteristic
1510C22×C4C2×C22⋊D7111yescharacteristic
1511C22×C4C2×C22⋊D7111yescharacteristic
1512C22×C4C23×D7111yescharacteristic
1513C22×C4C23×D7111yescharacteristic
1514C22×C4C23×D7111yescharacteristic
1515C22×C4C23×D7111yescharacteristic
1516C22×C4C23×D7111yescharacteristic
1517Q16—2841no—
1518Q16—2841no—
1519Q16—1422no—
1520SD16—2841no—
1521SD16—2841no—
1522SD16—2841no—
1523SD16—2841no—
1524SD16—1422no—
1525SD16—1422no—
1526D8—2841no—
1527D8—2841no—
1528D8—1422no—
1529M16—2841no—
1530M16—2841no—
1531M16—2841no—
1532M16—2841no—
1533C2×C8—2841no—
1534C2×C8—2841no—
1535C2×C8—2841no—
1536C2×C8—2841no—
1537C2×C8—711no—
1538C2×C8—711no—
1539C2×C8—711no—
1540C2×C8—711no—
1541C2×C8—711no—
1542C2×C8—711no—
1543C2×C8—711no—
1544C2×C8—711no—
1545C2×C8—1422no—
1546C2×C8—1422no—
1547C2×C8—1422no—
1548C2×C8—1422no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—711no—
1566C4⋊C4—711no—
1567C4⋊C4—1421no—
1568C4⋊C4—1421no—
1569C4⋊C4—1421no—
1570C4⋊C4—1421no—
1571C4⋊C4—1421no—
1572C4⋊C4—1421no—
1573C4⋊C4—1421no—
1574C4⋊C4—1421no—
1575C4⋊C4C2×C22⋊D7111yescharacteristic
1576C4⋊C4C2×C22⋊D7111yescharacteristic
1577C4⋊C4C2×C22⋊D7111yescharacteristic
1578C4⋊C4C2×C22⋊D7111yescharacteristic
1579C4⋊C4C23×D7111yescharacteristic
1580C4⋊C4C23×D7111yescharacteristic
1581C4⋊C4C23×D7111yescharacteristic
1582C4⋊C4C23×D7111yescharacteristic
1583C4⋊C4C23×D7111yescharacteristic
1584C4⋊C4C23×D7111yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—1421no—
1603C22⋊C4—1421no—
1604C22⋊C4—1421no—
1605C22⋊C4—1421no—
1606C22⋊C4—1421no—
1607C22⋊C4—1421no—
1608C22⋊C4—1421no—
1609C22⋊C4—1421no—
1610C22⋊C4—1421no—
1611C22⋊C4—1421no—
1612C22⋊C4—1421no—
1613C22⋊C4—1421no—
1614C22⋊C4—1421no—
1615C22⋊C4—1421no—
1616C22⋊C4—1421no—
1617C22⋊C4C2×C22⋊D7111yescharacteristic
1618C22⋊C4C2×C22⋊D7111yescharacteristic
1619C22⋊C4C2×C22⋊D7111yescharacteristic
1620C22⋊C4C2×C22⋊D7111yescharacteristic
1621C22⋊C4C2×C22⋊D7111yescharacteristic
1622C22⋊C4C2×C22⋊D7111yescharacteristic
1623C22⋊C4C2×C22⋊D7111yescharacteristic
1624C22⋊C4C2×C22⋊D7111yescharacteristic
1625C42—21no—
1626C42—21no—
1627C42—21no—
1628C42—21no—
1629C42—21no—
1630C42—21no—
1631C42—21no—
1632C42—21no—
1633C42—21no—
1634C42—1421no—
1635C42—1421no—
1636C42—1421no—
1637C42C2×C22⋊D7111yescharacteristic
1638C42C2×C22⋊D7111yescharacteristic
1639C42C23×D7111yescharacteristic
1640C42C23×D7111yescharacteristic
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—21no—
1645C23—41no—
1646C23—41no—
1647C23—41no—
1648C23—2842no—
1649C23—2842no—
1650C23—2842no—
1651C23—2842no—
1652C23—5681no—
1653C23—5681no—
1654C23—1421no—
1655C23—1421no—
1656C23—1421no—
1657C23C22×C22⋊D7111yescharacteristic
1658C23C22×C22⋊D7111yescharacteristic
1659C23C22×C22⋊D7111yescharacteristic
1660C23C22×C22⋊D7111yescharacteristic
1661C23C22×C22⋊D7111yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—42no—
1665Q8—81no—
1666Q8—2842no—
1667Q8—2842no—
1668Q8—712no—
1669Q8—1421no—
1670Q8—1421no—
1671Q8—1421no—
1672Q8—1421no—
1673Q8—1421no—
1674D4—22no—
1675D4—22no—
1676D4—21no—
1677D4—21no—
1678D4—41no—
1679D4—41no—
1680D4—42no—
1681D4—42no—
1682D4—42no—
1683D4—81no—
1684D4—81no—
1685D4—2842no—
1686D4—2842no—
1687D4—2842no—
1688D4—2842no—
1689D4—2842no—
1690D4—2842no—
1691D4—2842no—
1692D4—2842no—
1693D4—2842no—
1694D4—2842no—
1695D4—2842no—
1696D4—5681no—
1697D4—5681no—
1698D4—5681no—
1699D4—712no—
1700D4—1424no—
1701D4—1421no—
1702D4—1421no—
1703D4—1421no—
1704D4—1421no—
1705D4—1421no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—42no—
1730C2×C4—42no—
1731C2×C4—42no—
1732C2×C4—42no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—2842no—
1737C2×C4—2842no—
1738C2×C4—2842no—
1739C2×C4—2842no—
1740C2×C4—2842no—
1741C2×C4—2842no—
1742C2×C4—2842no—
1743C2×C4—2842no—
1744C2×C4—2842no—
1745C2×C4—5681no—
1746C2×C4—1421no—
1747C2×C4—1421no—
1748C2×C4—1421no—
1749C2×C4—1421no—
1750C2×C4—1421no—
1751C2×C4—1424no—
1752C2×C4C22×C22⋊D7111yescharacteristic
1753C2×C4C22×C22⋊D7111yescharacteristic
1754C2×C4C22×C22⋊D7111yescharacteristic
1755C2×C4C22×C22⋊D7111yescharacteristic
1756C2×C4C22×C22⋊D7111yescharacteristic
1757C2×C4C22×C22⋊D7111yescharacteristic
1758C2×C4C22×C22⋊D7111yescharacteristic
1759C2×C4C22×C22⋊D7111yescharacteristic
1760C2×C4C22×C22⋊D7111yescharacteristic
1761C2×C4#41×D7112yes—
1762C2×C4#1455617412yes—
1763C2×C4C24×D7111yescharacteristic
1764C8—1421no—
1765C8—1421no—
1766C8—1421no—
1767C8—1421no—
1768C8—1421no—
1769C8—1421no—
1770C8—1421no—
1771C8—1421no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—44no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—82no—
1790C22—2841no—
1791C22—2841no—
1792C22—2841no—
1793C22—2841no—
1794C22—2841no—
1795C22—2841no—
1796C22—2841no—
1797C22—2841no—
1798C22—5684no—
1799C22—5684no—
1800C22—1422no—
1801C22#1798663712yes—
1802C22#1798679712yes—
1803C22C23×C22⋊D7111yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—21no—
1811C4—21no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—2841no—
1820C4—2841no—
1821C4—2841no—
1822C4—2841no—
1823C4—1422no—
1824C4#1798663712yes—
1825C4C2×#41×D7111yescharacteristic
1826C4C2×#1455617411yescharacteristic
1827C2—22no—
1828C2—22no—
1829C2—41no—
1830C2—41no—
1831C2—41no—
1832C2—81no—
1833C2—2842no—
1834C2—5681no—
1835C2—5681no—
1836C2C2×#1798663711yescharacteristic
1837C2C2×#1798679711yescharacteristic
1838C2#2260311111yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3475C2
socleC22×C71C23×D4
hypercenter#3475D71
hypocenterC71#61141
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ #3475

Complements

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

NH ≅ G/Ntype
1. D4×#11765865C2semidirect
2. #22600520C2semidirect
3. #22600505C2semidirect
4. #22600490C2semidirect
5. #22600475C2semidirect
6. #22600460C2semidirect
7. #22600445C2semidirect
8. #22600430C2semidirect
9. #22600415C2semidirect
10. #22600400C2semidirect
11. #22600385C2semidirect
12. #22600370C2semidirect
13. #22600355C2semidirect
14. #22600340C2semidirect
15. #22600325C2semidirect
16. #22600310C2semidirect
17. #22600295C2semidirect
18. #22598688C2semidirect
19. #22598253C2semidirect
20. #22598253C2semidirect
21. #22598122C2semidirect
22. #22597946C2semidirect
23. #22597918C2semidirect
24. #22597795C2semidirect
25. #22597556C2semidirect
26. #22597556C2semidirect
27. #22597138C2semidirect
28. C2×#17986071C2semidirect
29. #22596857C2semidirect
30. C2×#17985993C2semidirect
31. C71×#3475C2semidirect
35. C2×#14556148C22semidirect
36. C2×#14556148C22semidirect
37. C22×#11765849C22semidirect
38. C23×C71⋊C8C22semidirect
59. #17986369C22semidirect
60. #17986369C22semidirect
61. #17986365C22semidirect
62. #17986365C22semidirect
63. #17986361C22semidirect
64. #17986361C22semidirect
65. #17986361C22semidirect
66. #17986361C22semidirect
67. #17986340C22semidirect
68. #17986340C22semidirect
69. #17986340C22semidirect
70. #17986340C22semidirect
71. #17986334C22semidirect
72. #17986334C22semidirect
73. #17986329C22semidirect
74. #17986329C22semidirect
75. #17986323C22semidirect
76. #17986323C22semidirect
77. #17986323C22semidirect
78. #17986323C22semidirect
79. #17986317C22semidirect
80. #17986317C22semidirect
81. #17986312C22semidirect
82. #17986312C22semidirect
83. #17986303C22semidirect
84. #17986303C22semidirect
85. #17986296C22semidirect
86. #17986296C22semidirect
87. #17986291C22semidirect
88. #17986286C22semidirect
89. #17986281C22semidirect
90. #17986276C22semidirect
91. #17986255C22semidirect
92. #17986255C22semidirect
93. #17986250C22semidirect
94. #17986250C22semidirect
95. #17986247C22semidirect
96. #17986247C22semidirect
97. #17986243C22semidirect
98. #17986243C22semidirect
99. #17986238C22semidirect
100. #17986238C22semidirect
101. #17986233C22semidirect
102. #17986233C22semidirect
103. #17986230C22semidirect
104. #17986230C22semidirect
105. #17986226C22semidirect
106. #17986226C22semidirect
107. #17986221C22semidirect
108. #17986221C22semidirect
109. #17986214C22semidirect
110. #17986214C22semidirect
111. #17986209C22semidirect
112. #17986204C22semidirect
113. #17986199C22semidirect
114. #17986194C22semidirect
115. #17986159C22semidirect
116. #17986159C22semidirect
117. #17986159C22semidirect
118. #17986159C22semidirect
119. #17986154C22semidirect
120. #17986154C22semidirect
121. #17986149C22semidirect
122. #17986149C22semidirect
123. #17986142C22semidirect
124. #17986142C22semidirect
125. #17986142C22semidirect
126. #17986142C22semidirect
127. #17986137C22semidirect
128. #17986137C22semidirect
129. #17986132C22semidirect
130. #17986132C22semidirect
131. #17986109C22semidirect
132. #17986109C22semidirect
133. #17986104C22semidirect
134. #17986104C22semidirect
135. #17986099C22semidirect
136. #17986099C22semidirect
137. #17986097C22semidirect
138. #17986097C22semidirect
141. #17986071C22semidirect
142. #17986071C22semidirect
143. #17986071C22semidirect
144. #17986071C22semidirect
145. #17986071C22semidirect
146. #17986071C22semidirect
147. #17986035C22semidirect
148. #17986035C22semidirect
149. #17986035C22semidirect
150. C2×C4⋊(C71⋊C8)C22semidirect
151. #17986007C22semidirect
152. #17986007C22semidirect
153. #17986003C22semidirect
154. #17986003C22semidirect
155. #17985998C22semidirect
156. #17985998C22semidirect
157. #17985998C22semidirect
158. #17985998C22semidirect
159. #17985995C22semidirect
163. #17985993C22semidirect
164. #17985993C22semidirect
165. #17985993C22semidirect
166. #17985993C22semidirect
167. #17985993C22semidirect
168. #17985993C22semidirect
169. #17985993C22semidirect
170. #17985993C22semidirect
171. #17985993C22semidirect
172. #17985993C22semidirect
173. C2×#14556051C22semidirect
174. C2×#14556051C22semidirect
175. C2×#14556048C22semidirect
176. C2×#14556048C22semidirect
177. C2×C22⋊(C71⋊C8)C22semidirect
178. C2×C22⋊(C71⋊C8)C22semidirect
179. C2×#14556039C22semidirect
180. #556×C71C22semidirect
181. #555×C71C22semidirect
182. #554×C71C22semidirect
184. #553×C71C22semidirect
187. #552×C71C22semidirect
190. #547×C71C22semidirect
192. #533×C71C22semidirect
196. #525×C71C22semidirect
197. #525×C71C22semidirect
199. C4×#41×C71C22semidirect
201. C2×#117×C71C22semidirect
202. C2×#117×C71C22semidirect
506. #11765865#41semidirect
920. #3475D71semidirect
951. C71#61141semidirect
959. #556C2×D71semidirect
960. #555C2×D71semidirect
961. #554C2×D71semidirect
963. #553C2×D71semidirect
966. #552C2×D71semidirect
975. #547C2×D71semidirect
983. #533C2×D71semidirect
993. #525C2×D71semidirect
994. #525C2×D71semidirect
997. C4×#41C2×D71semidirect
1000. C2×#117C2×D71semidirect
1001. C2×#117C2×D71semidirect

Maximal subgroups

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

subgroupindex
D4×#117658652
#226005202
#226005052
#226004902
#226004752
#226004602
#226004452
#226004302
#226004152
#226004002
#226003852
#226003702
#226003552
#226003402
#226003252
#226003102
#226002952
#225986882
#225982532
#225981222
#225979462
#225979182
#225977952
#225975562
#225971382
C2×#179860712
#225968572
C2×#179859932
C71×#34752
#6114171