Finite Group Databasebeta

← #32883144

Subgroups — #32883144

Order 18176.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22601982C211yesmaximal, characteristic, complemented
2#22600639C211yesmaximal, characteristic, complemented
3#22600550C211yesmaximal, characteristic, complemented
4#22600490C211yesmaximal, characteristic, complemented
5#22600430C211yesmaximal, characteristic, complemented
6#22600310C211yesmaximal, characteristic, complemented
7#22600295C211yesmaximal, characteristic, complemented
8#22600262C211yesmaximal, characteristic, complemented
9#22600184C211yesmaximal, characteristic, complemented
10#22600070C211yesmaximal, characteristic, complemented
11#22600021C211yesmaximal, characteristic, complemented
12#22599947C211yesmaximal, characteristic, complemented
13#22599936C211yesmaximal, characteristic, complemented
14#22599881C211yesmaximal, characteristic, complemented
15#22599861C211yesmaximal, characteristic, complemented
16#22599861C211yesmaximal, characteristic, complemented
17#22599816C211yesmaximal, characteristic, complemented
18#22599443C211yesmaximal, characteristic, complemented
19#22599395C211yesmaximal, characteristic, complemented
20#22599216C211yesmaximal, characteristic, complemented
21#22599212C211yesmaximal, characteristic, complemented
22#22599177C211yesmaximal, characteristic, complemented
23#22599105C211yesmaximal, characteristic, complemented
24#22598578C211yesmaximal, characteristic, complemented
25#22598518C211yesmaximal, characteristic, complemented
26#22597641C211yesmaximal, characteristic, complemented
27#22597606C211yesmaximal, characteristic, complemented
28#22597590C211yesmaximal, characteristic, complemented
29#22597556C211yesmaximal, characteristic, complemented
30#22597388C211yesmaximal, characteristic, complemented
31C71×#3542C211yesmaximal, characteristic, complemented
32C2×#14556174C2211yescharacteristic, complemented
33C22×#11765865C2211yescharacteristic, complemented
34C2×#14556154C2211yescharacteristic, complemented
35C2×#14556154C2211yescharacteristic, complemented
36C2×#14556154C2211yescharacteristic, complemented
37C2×#14556153C2211yescharacteristic, complemented
38C2×#14556148C2211yescharacteristic, complemented
39C2×#14556148C2211yescharacteristic, complemented
40C2×#14556148C2211yescharacteristic, complemented
41C22×#11765850C2211yescharacteristic, complemented
42#17986654C2211yescharacteristic
43#17986654C2211yescharacteristic, complemented
44#17986654C2211yescharacteristic, complemented
45#17986654C2211yescharacteristic, complemented
46#17986651—21no—
47#17986651—21no—
48#17986646—21no—
49#17986646—21no—
50#17986645C2211yescharacteristic
51#17986645C2211yescharacteristic, complemented
52#17986645C2211yescharacteristic, complemented
53#17986645C2211yescharacteristic, complemented
54#17986575C2211yescharacteristic, complemented
55#17986570C2211yescharacteristic, complemented
56#17986559—21no—
57#17986559—21no—
58#17986510C2211yescharacteristic, complemented
59#123×D71—21no—
60#123×D71—21no—
61#17986473C2211yescharacteristic, complemented
62#17986394C2211yescharacteristic, complemented
63#17986386C2211yescharacteristic, complemented
64#17986381C2211yescharacteristic, complemented
65#17986371C2211yescharacteristic, complemented
66#17986369C2211yescharacteristic, complemented
67#17986361C2211yescharacteristic, complemented
68#17986356C2211yescharacteristic, complemented
69#17986351C2211yescharacteristic, complemented
70#17986340C2211yescharacteristic, complemented
71#17986340C2211yescharacteristic, complemented
72#17986340C2211yescharacteristic, complemented
73#17986337C2211yescharacteristic, complemented
74#17986334C2211yescharacteristic, complemented
75#17986334C2211yescharacteristic, complemented
76#17986329C2211yescharacteristic, complemented
77#17986323C2211yescharacteristic, complemented
78#17986320C2211yescharacteristic, complemented
79#17986320C2211yescharacteristic, complemented
80#17986320C2211yescharacteristic, complemented
81#17986317C2211yescharacteristic, complemented
82#17986296C2211yescharacteristic, complemented
83#17986296C2211yescharacteristic, complemented
84#17986286C2211yescharacteristic, complemented
85#17986276C2211yescharacteristic, complemented
86#17986255C2211yescharacteristic, complemented
87#17986255C2211yescharacteristic, complemented
88#17986250C2211yescharacteristic, complemented
89#17986247C2211yescharacteristic, complemented
90#17986243C2211yescharacteristic, complemented
91#17986243C2211yescharacteristic, complemented
92#17986243C2211yescharacteristic, complemented
93#17986243C2211yescharacteristic, complemented
94#17986238C2211yescharacteristic, complemented
95#17986233C2211yescharacteristic, complemented
96#17986233C2211yescharacteristic, complemented
97#17986226C2211yescharacteristic, complemented
98#17986226C2211yescharacteristic, complemented
99#17986226C2211yescharacteristic, complemented
100#17986226C2211yescharacteristic, complemented
101#17986226C2211yescharacteristic, complemented
102#17986221C2211yescharacteristic, complemented
103#17986214C2211yescharacteristic, complemented
104#17986214C2211yescharacteristic, complemented
105#17986214C2211yescharacteristic, complemented
106#17986211C2211yescharacteristic, complemented
107#17986211C2211yescharacteristic, complemented
108#17986209C2211yescharacteristic, complemented
109#17986204C2211yescharacteristic, complemented
110#17986204C2211yescharacteristic, complemented
111#17986204C2211yescharacteristic, complemented
112#17986191C2211yescharacteristic, complemented
113#17986191C2211yescharacteristic, complemented
114#17986161C2211yescharacteristic, complemented
115#17986161C2211yescharacteristic, complemented
116#17986161C2211yescharacteristic, complemented
117#17986159C2211yescharacteristic, complemented
118#17986159C2211yescharacteristic, complemented
119#17986159C2211yescharacteristic, complemented
120#17986159C2211yescharacteristic, complemented
121#17986154C2211yescharacteristic, complemented
122#17986150C2211yescharacteristic, complemented
123#17986150C2211yescharacteristic, complemented
124#17986150C2211yescharacteristic, complemented
125#17986149C2211yescharacteristic, complemented
126#17986149C2211yescharacteristic, complemented
127#17986144C2211yescharacteristic, complemented
128#17986142C2211yescharacteristic
129#17986142C2211yescharacteristic, complemented
130#17986142C2211yescharacteristic, complemented
131#17986142C2211yescharacteristic, complemented
132#17986142C2211yescharacteristic, complemented
133#17986142C2211yescharacteristic, complemented
134#17986142C2211yescharacteristic, complemented
135#17986142C2211yescharacteristic, complemented
136#17986142C2211yescharacteristic, complemented
137#17986142C2211yescharacteristic, complemented
138#17986142C2211yescharacteristic, complemented
139#17986142C2211yescharacteristic, complemented
140#17986137C2211yescharacteristic, complemented
141#17986137C2211yescharacteristic, complemented
142#17986137C2211yescharacteristic, complemented
143#17986133C2211yescharacteristic, complemented
144#17986132C2211yescharacteristic
145#17986132C2211yescharacteristic, complemented
146#17986132C2211yescharacteristic, complemented
147#17986132C2211yescharacteristic, complemented
148#17986132C2211yescharacteristic, complemented
149#17986132C2211yescharacteristic, complemented
150#17986109C2211yescharacteristic, complemented
151#17986109C2211yescharacteristic, complemented
152#17986109C2211yescharacteristic, complemented
153#17986097C2211yescharacteristic, complemented
154C4×#11765852C2211yescharacteristic, complemented
155C4×#11765850C2211yescharacteristic, complemented
156C4×#11765850C2211yescharacteristic, complemented
157C4×#11765850C2211yescharacteristic, complemented
158#17986077C2211yescharacteristic, complemented
159#17986077C2211yescharacteristic, complemented
160#17986071C2211yescharacteristic, complemented
161#17986071C2211yescharacteristic, complemented
162#17986071C2211yescharacteristic, complemented
163#17986071C2211yescharacteristic, complemented
164D4×C71⋊C8C2211yescharacteristic, complemented
165D4×C71⋊C8C2211yescharacteristic, complemented
166#17986060C2211yescharacteristic, complemented
167#17986060C2211yescharacteristic, complemented
168#17986003C2211yescharacteristic, complemented
169#17985998C2211yescharacteristic, complemented
170#17985998C2211yescharacteristic, complemented
171#17985998C2211yescharacteristic, complemented
172#17985993C2211yescharacteristic, complemented
173#17985993C2211yescharacteristic, complemented
174#17985993C2211yescharacteristic, complemented
175C2×#14556048C2211yescharacteristic, complemented
176#17985966C2211yescharacteristic, complemented
177#17985966C2211yescharacteristic, complemented
178#17985963C2211yescharacteristic, complemented
179C2×C22⋊(C71⋊C8)C2211yescharacteristic, complemented
180#562×C71—21no—
181#560×C71—21no—
182#555×C71C2211yescharacteristic, complemented
183#553×C71C2211yescharacteristic, complemented
184#552×C71C2211yescharacteristic, complemented
185#551×C71—21no—
186#550×C71C2211yescharacteristic, complemented
187#547×C71C2211yescharacteristic, complemented
188#546×C71—21no—
189#546×C71C2211yescharacteristic, complemented
190#546×C71C2211yescharacteristic, complemented
191D42×C71C2211yescharacteristic, complemented
192#542×C71C2211yescharacteristic, complemented
193#540×C71—21no—
194#540×C71C2211yescharacteristic, complemented
195#538×C71—21no—
196#537×C71C2211yescharacteristic
197#535×C71—21no—
198#535×C71C2211yescharacteristic
199#534×C71—21no—
200#525×C71C2211yescharacteristic
201#525×C71C2211yescharacteristic, complemented
202C2×#121×C71C2211yescharacteristic, complemented
203#14556174—42no—
204#14556174—42no—
205C2×#11765866—21no—
206C2×#11765865—21no—
207C2×#11765865—21no—
208C2×#11765865—42no—
209C2×#11765865—42no—
210C2×#11765865C2311yescharacteristic
211C2×#11765865C2311yescharacteristic
212C2×#11765865C2311yescharacteristic
213C2×#11765865C2311yescharacteristic
214C2×#11765865C2311yescharacteristic
215C2×#11765865C2311yescharacteristic
216C2×#11765865C2311yescharacteristic
217C22×Dic142C2311yescharacteristic
218C22×D284C2311yescharacteristic
219C22×D284C2311yescharacteristic
220C22×D284C2311yescharacteristic
221C22×C22⋊D71—21no—
222C2×D4×D71—21no—
223C2×D4×D71—21no—
224C2×D4×D71—21no—
225C22×C4×D71—21no—
226#14556154—42no—
227#14556154—42no—
228#14556154—42no—
229#14556153—42no—
230#14556148—42no—
231#14556148—42no—
232#14556148—42no—
233C2×#11765855C2311yescharacteristic
234C2×#11765855C2311yescharacteristic
235C2×#11765855C2311yescharacteristic
236C2×#11765853C2311yescharacteristic
237C2×#11765853C2311yescharacteristic
238C2×#11765853C2311yescharacteristic
239C2×#11765853C2311yescharacteristic
240C2×#11765853C2311yescharacteristic
241C2×#11765853C2311yescharacteristic
242C2×#11765853C2311yescharacteristic
243C2×#11765853C2311yescharacteristic
244C2×#11765853C2311yescharacteristic
245C2×#11765852C2311yescharacteristic
246C2×#11765852C2311yescharacteristic
247C2×#11765852C2311yescharacteristic
248C2×#11765850—42no—
249C2×#11765850C2311yescharacteristic
250C2×#11765850C2311yescharacteristic
251C2×#11765850C2311yescharacteristic
252C2×#11765850C2311yescharacteristic
253C2×#11765850C2311yescharacteristic
254C2×#11765850C2311yescharacteristic
255C2×#11765850C2311yescharacteristic
256C2×#11765850C2311yescharacteristic
257C2×#11765850C2311yescharacteristic
258C2×#11765849C2311yescharacteristic
259C2×#11765849C2311yescharacteristic
260C2×#11765849C2311yescharacteristic
261C2×#11765849C2311yescharacteristic
262C22×C71⋊C8C2311yescharacteristic
263C22×C71⋊C8C2311yescharacteristic
264C22×C71⋊C8C2311yescharacteristic
265C22×C71⋊C8C2311yescharacteristic
266#14556128C2311yescharacteristic
267#14556128C2311yescharacteristic
268#14556126—21no—
269#14556116C2311yescharacteristic
270#14556116C2311yescharacteristic
271#14556115—21no—
272#14556113—21no—
273#14556113—21no—
274#14556113—21no—
275#14556113—21no—
276#14556112—21no—
277#14556112—21no—
278#14556111—21no—
279#14556110—21no—
280#14556110—21no—
281#14556110—21no—
282#14556110—21no—
283#14556110—21no—
284#14556110—21no—
285#14556110—21no—
286#14556110—21no—
287#14556109—21no—
288#14556109—21no—
289#14556108—21no—
290#14556108—21no—
291#14556107C2311yescharacteristic
292#14556107C2311yescharacteristic
293#14556107C2311yescharacteristic
294#14556107C2311yescharacteristic
295#14556107C2311yescharacteristic
296#14556107C2311yescharacteristic
297#14556102C2311yescharacteristic
298#14556102C2311yescharacteristic
299#14556101—21no—
300#14556101—21no—
301#14556101—21no—
302#14556101—21no—
303#14556099—21no—
304#14556099—21no—
305#14556099—21no—
306#14556099—21no—
307#14556097—21no—
308#14556096—21no—
309#14556096—21no—
310#14556096—21no—
311#14556096—21no—
312C4×D284C2311yescharacteristic
313C4×D284C2311yescharacteristic
314C4×D284C2311yescharacteristic
315C4×D284C2311yescharacteristic
316#14556090—21no—
317#14556090—21no—
318C4×C22⋊D71—21no—
319C4×C22⋊D71—21no—
320#14556087C2311yescharacteristic
321C4⋊C4×D71—21no—
322C4⋊C4×D71—21no—
323C4⋊C4×D71—21no—
324C4⋊C4×D71—21no—
325C22⋊C4×D71—21no—
326C22⋊C4×D71—21no—
327C22⋊C4×D71—21no—
328C22⋊C4×D71—21no—
329C22⋊C4×D71—21no—
330C22⋊C4×D71—21no—
331#14556061C2311yescharacteristic
332#14556061C2311yescharacteristic
333#14556061C2311yescharacteristic
334#14556061C2311yescharacteristic
335#14556059C2311yescharacteristic
336#14556059C2311yescharacteristic
337#14556059C2311yescharacteristic
338#14556059C2311yescharacteristic
339C4⋊(C71⋊C8)C2311yescharacteristic
340C4⋊(C71⋊C8)C2311yescharacteristic
341C4⋊(C71⋊C8)C2311yescharacteristic
342C4⋊(C71⋊C8)C2311yescharacteristic
343#14556052C2311yescharacteristic
344#14556052C2311yescharacteristic
345#14556051C2311yescharacteristic
346#14556051C2311yescharacteristic
347#14556051C2311yescharacteristic
348#14556051C2311yescharacteristic
349#14556051C2311yescharacteristic
350#14556051C2311yescharacteristic
351#14556051C2311yescharacteristic
352#14556051C2311yescharacteristic
353#14556051C2311yescharacteristic
354#14556051C2311yescharacteristic
355#14556051C2311yescharacteristic
356#14556051C2311yescharacteristic
357#14556049C2311yescharacteristic
358#14556049C2311yescharacteristic
359#14556049C2311yescharacteristic
360#14556049C2311yescharacteristic
361#14556049C2311yescharacteristic
362#14556049C2311yescharacteristic
363#14556048C2311yescharacteristic
364#14556048C2311yescharacteristic
365#14556048C2311yescharacteristic
366#14556048C2311yescharacteristic
367#14556048C2311yescharacteristic
368#14556048C2311yescharacteristic
369#14556048C2311yescharacteristic
370#14556048C2311yescharacteristic
371#14556048C2311yescharacteristic
372#14556048C2311yescharacteristic
373#14556048C2311yescharacteristic
374#14556048C2311yescharacteristic
375C22⋊(C71⋊C8)C2311yescharacteristic
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
384C22⋊(C71⋊C8)C2311yescharacteristic
385C22⋊(C71⋊C8)C2311yescharacteristic
386C22⋊(C71⋊C8)C2311yescharacteristic
387#14556039C2311yescharacteristic
388#14556039C2311yescharacteristic
389C4×C71⋊C8C2311yescharacteristic
390C4×C71⋊C8C2311yescharacteristic
391C2×#41×C71—21no—
392C2×#41×C71C2311yescharacteristic
393C2×#41×C71C2311yescharacteristic
394C2×#41×C71C2311yescharacteristic
395C22×D4×C71—21no—
396C22×D4×C71—21no—
397C22×D4×C71C2311yescharacteristic
398C22×D4×C71C2311yescharacteristic
399C23×C4×C71C2311yescharacteristic
400C4⋊Q8×C71C2311yescharacteristic
401#127×C71—21no—
402#127×C71—21no—
403#127×C71C2311yescharacteristic
404#126×C71—21no—
405#126×C71—21no—
406#126×C71—21no—
407#125×C71—21no—
408#125×C71C2311yescharacteristic
409#124×C71—21no—
410#124×C71—21no—
411#124×C71—21no—
412#124×C71—21no—
413#124×C71C2311yescharacteristic
414#123×C71—21no—
415#123×C71—21no—
416#123×C71—21no—
417#123×C71—21no—
418#123×C71—21no—
419#123×C71—21no—
420#123×C71—21no—
421#123×C71—21no—
422#123×C71—21no—
423#123×C71—21no—
424#123×C71D411yescharacteristic
425#123×C71D411yescharacteristic
426C22⋊Q8×C71—21no—
427C22⋊Q8×C71—21no—
428C22⋊Q8×C71—21no—
429C22⋊Q8×C71D411yescharacteristic
430C22⋊Q8×C71D411yescharacteristic
431C22⋊Q8×C71C2311yescharacteristic
432C22⋊Q8×C71C2311yescharacteristic
433C22⋊Q8×C71C2311yescharacteristic
434#121×C71—21no—
435#121×C71—21no—
436#121×C71—21no—
437#121×C71—21no—
438#121×C71—21no—
439#121×C71—21no—
440#121×C71—21no—
441#121×C71—21no—
442#121×C71—21no—
443#121×C71—21no—
444#121×C71—21no—
445#121×C71—21no—
446#121×C71—21no—
447#121×C71—21no—
448#121×C71D411yescharacteristic
449#121×C71D411yescharacteristic
450#121×C71C2311yescharacteristic
451#121×C71C2311yescharacteristic
452#121×C71C2311yescharacteristic
453#121×C71C2311yescharacteristic
454#121×C71C2311yescharacteristic
455#121×C71C2311yescharacteristic
456#121×C71C2311yescharacteristic
457#121×C71C2311yescharacteristic
458#121×C71C2311yescharacteristic
459#120×C71—21no—
460#120×C71—21no—
461#120×C71—21no—
462#120×C71—21no—
463#120×C71—21no—
464#120×C71—21no—
465#120×C71—21no—
466#120×C71D411yescharacteristic
467#120×C71D411yescharacteristic
468C4×Q8×C71C2311yescharacteristic
469C4×D4×C71—21no—
470C4×D4×C71—21no—
471C4×D4×C71—21no—
472C4×D4×C71—21no—
473C4×D4×C71C2311yescharacteristic
474C4×D4×C71C2311yescharacteristic
475C4×D4×C71C2311yescharacteristic
476C4×D4×C71C2311yescharacteristic
477C4×D4×C71C2311yescharacteristic
478C4×D4×C71C2311yescharacteristic
479C4×D4×C71C2311yescharacteristic
480#117×C71—21no—
481#117×C71—21no—
482#117×C71C2311yescharacteristic
483#117×C71C2311yescharacteristic
484#117×C71C2311yescharacteristic
485C2×C4⋊C4×C71C2311yescharacteristic
486C2×C4⋊C4×C71C2311yescharacteristic
487C2×C22⋊C4×C71—21no—
488C2×C22⋊C4×C71—21no—
489C2×C22⋊C4×C71—21no—
490C23×D71—21no—
491C23×D71—21no—
492C23×D71—21no—
493#11765866—44no—
494#11765865—22no—
495#11765865—22no—
496#11765865—22no—
497#11765865—22no—
498#11765865—22no—
499#11765865—22no—
500#11765865—41no—
501#11765865—41no—
502#11765865—41no—
503#11765865—41no—
504#11765865—41no—
505#11765865—41no—
506#11765865—41no—
507#11765865—41no—
508#11765865—44no—
509#11765865—44no—
510C2×Dic142—21no—
511C2×Dic142—41no—
512C2×Dic142—41no—
513C2×Dic142C2411yescharacteristic
514C2×Dic142C2411yescharacteristic
515C2×Dic142C2411yescharacteristic
516C2×D284—21no—
517C2×D284—22no—
518C2×D284—22no—
519C2×D284—22no—
520C2×D284—22no—
521C2×D284—21no—
522C2×D284—21no—
523C2×D284—41no—
524C2×D284—41no—
525C2×D284C2411yescharacteristic
526C2×D284C2411yescharacteristic
527C2×D284C2411yescharacteristic
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—44no—
538D4×D71—44no—
539D4×D71—44no—
540D4×D71—44no—
541C22×Dic71—21no—
542C2×C4×D71—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—21no—
553C2×C4×D71—44no—
554#11765855—41no—
555#11765855—41no—
556#11765855—41no—
557#11765853—41no—
558#11765853—41no—
559#11765853—41no—
560#11765853—41no—
561#11765853—41no—
562#11765853—41no—
563#11765853—41no—
564#11765853—41no—
565#11765853—41no—
566#11765852—22no—
567#11765852—22no—
568#11765852—41no—
569#11765850—22no—
570#11765850—22no—
571#11765850—22no—
572#11765850—22no—
573#11765850—22no—
574#11765850—22no—
575#11765850—41no—
576#11765850—41no—
577#11765850—41no—
578#11765849—41no—
579#11765849—41no—
580#11765849—41no—
581#11765849—41no—
582C2×C71⋊C8—41no—
583C2×C71⋊C8—41no—
584C2×C71⋊C8—41no—
585C2×C71⋊C8—41no—
586C2×C71⋊C8C2411yescharacteristic
587C2×C71⋊C8C2411yescharacteristic
588C2×C71⋊C8C2411yescharacteristic
589C2×C71⋊C8C2411yescharacteristic
590C2×C71⋊C8C2411yescharacteristic
591C2×C71⋊C8C2411yescharacteristic
592C2×C71⋊C8C2411yescharacteristic
593C2×C71⋊C8C2411yescharacteristic
594C4⋊Dic71—21no—
595C4⋊Dic71—21no—
596C4⋊Dic71—21no—
597C4⋊Dic71—21no—
598C4⋊Dic71C2411yescharacteristic
599C4⋊Dic71C2411yescharacteristic
600Dic71⋊C4—21no—
601Dic71⋊C4—21no—
602Dic71⋊C4—21no—
603Dic71⋊C4—21no—
604Dic71⋊C4—21no—
605Dic71⋊C4—21no—
606C22⋊Dic71—21no—
607C22⋊Dic71—21no—
608C22⋊Dic71—21no—
609C22⋊Dic71—21no—
610C22⋊Dic71—21no—
611C22⋊Dic71—21no—
612C22⋊Dic71—21no—
613(C2×D71)⋊C4—21no—
614(C2×D71)⋊C4—21no—
615(C2×D71)⋊C4—21no—
616(C2×D71)⋊C4—21no—
617(C2×D71)⋊C4—21no—
618(C2×D71)⋊C4—21no—
619(C2×D71)⋊C4—21no—
620(C2×D71)⋊C4—21no—
621(C2×D71)⋊C4—21no—
622(C2×D71)⋊C4—21no—
623C4×Dic71—21no—
624C24×C71—21no—
625C24×C71—21no—
626C24×C71C2×D411yescharacteristic
627#41×C71—41no—
628#41×C71—41no—
629#41×C71—41no—
630#41×C71—41no—
631#41×C71—41no—
632#41×C71—41no—
633#41×C71—82no—
634C2×Q8×C71—21no—
635C2×Q8×C71C2×D411yescharacteristic
636C2×Q8×C71C2411yescharacteristic
637C2×D4×C71—21no—
638C2×D4×C71—21no—
639C2×D4×C71—21no—
640C2×D4×C71—21no—
641C2×D4×C71—21no—
642C2×D4×C71—21no—
643C2×D4×C71—21no—
644C2×D4×C71—21no—
645C2×D4×C71—21no—
646C2×D4×C71—21no—
647C2×D4×C71—21no—
648C2×D4×C71—21no—
649C2×D4×C71—21no—
650C2×D4×C71—21no—
651C2×D4×C71—21no—
652C2×D4×C71—41no—
653C2×D4×C71—41no—
654C2×D4×C71—41no—
655C2×D4×C71—41no—
656C2×D4×C71—82no—
657C2×D4×C71—82no—
658C2×D4×C71C2×D411yescharacteristic
659C2×D4×C71C2×D411yescharacteristic
660C2×D4×C71C2×D411yescharacteristic
661C2×D4×C71C2×D411yescharacteristic
662C2×D4×C71C2×D411yescharacteristic
663C2×D4×C71C2×D411yescharacteristic
664C2×D4×C71C2×D411yescharacteristic
665C2×D4×C71C2411yescharacteristic
666C2×D4×C71C2411yescharacteristic
667C2×D4×C71C2411yescharacteristic
668C22×C4×C71—21no—
669C22×C4×C71—21no—
670C22×C4×C71—21no—
671C22×C4×C71—21no—
672C22×C4×C71—21no—
673C22×C4×C71—21no—
674C22×C4×C71—21no—
675C22×C4×C71—41no—
676C22×C4×C71—41no—
677C22×C4×C71C2×D411yescharacteristic
678C22×C4×C71C2×D411yescharacteristic
679C22×C4×C71C2×D411yescharacteristic
680C22×C4×C71C2411yescharacteristic
681C22×C4×C71C2411yescharacteristic
682C22×C4×C71C2411yescharacteristic
683C22×C4×C71C2411yescharacteristic
684C22×C4×C71C2411yescharacteristic
685C4⋊C4×C71—21no—
686C4⋊C4×C71—21no—
687C4⋊C4×C71—21no—
688C4⋊C4×C71—21no—
689C4⋊C4×C71—21no—
690C4⋊C4×C71—21no—
691C4⋊C4×C71—21no—
692C4⋊C4×C71—21no—
693C4⋊C4×C71—21no—
694C4⋊C4×C71C2×D411yescharacteristic
695C4⋊C4×C71C2×D411yescharacteristic
696C4⋊C4×C71C2×D411yescharacteristic
697C4⋊C4×C71C2×D411yescharacteristic
698C4⋊C4×C71C2×D411yescharacteristic
699C4⋊C4×C71C2×D411yescharacteristic
700C4⋊C4×C71C2411yescharacteristic
701C4⋊C4×C71C2411yescharacteristic
702C4⋊C4×C71C2411yescharacteristic
703C4⋊C4×C71C2411yescharacteristic
704C22⋊C4×C71—21no—
705C22⋊C4×C71—21no—
706C22⋊C4×C71—21no—
707C22⋊C4×C71—21no—
708C22⋊C4×C71—21no—
709C22⋊C4×C71—21no—
710C22⋊C4×C71—21no—
711C22⋊C4×C71—21no—
712C22⋊C4×C71—21no—
713C22⋊C4×C71—21no—
714C22⋊C4×C71—21no—
715C22⋊C4×C71—21no—
716C22⋊C4×C71—21no—
717C22⋊C4×C71—21no—
718C22⋊C4×C71—21no—
719C22⋊C4×C71—21no—
720C22⋊C4×C71—21no—
721C22⋊C4×C71—21no—
722C22⋊C4×C71—21no—
723C22⋊C4×C71C2×D411yescharacteristic
724C22⋊C4×C71C2×D411yescharacteristic
725C22⋊C4×C71C2×D411yescharacteristic
726C22⋊C4×C71C2×D411yescharacteristic
727C22⋊C4×C71C2×D411yescharacteristic
728C22⋊C4×C71C2×D411yescharacteristic
729C22⋊C4×C71C2×D411yescharacteristic
730C22⋊C4×C71C2×D411yescharacteristic
731C22⋊C4×C71C2×D411yescharacteristic
732C22⋊C4×C71C2×D411yescharacteristic
733C42×C71—21no—
734C42×C71—21no—
735C42×C71—21no—
736C42×C71C2411yescharacteristic
737C42×C71C2411yescharacteristic
738C23×C71—21no—
739C23×C71—21no—
740C23×C71—21no—
741C23×C71—41no—
742C23×C71—41no—
743C23×C71—41no—
744C23×C71—42no—
745C23×C71—81no—
746C23×C71—81no—
747C23×C71—81no—
748C23×C71—81no—
749C23×C71—81no—
750C23×C71C22×D411yescharacteristic
751C23×C71C22×D411yescharacteristic
752C23×C71C22×D411yescharacteristic
753C23×C71C22×D411yescharacteristic
754C23×C71C22×D411yescharacteristic
755C22×D71—21no—
756C22×D71—21no—
757C22×D71—24no—
758C22×D71—21no—
759C22×D71—42no—
760C22×D71—42no—
761C22×D71—81no—
762C22×D71—81no—
763C22×D71—81no—
764C22×D71—81no—
765C22×D71—81no—
766C22×D71—81no—
767Q8×C71—21no—
768Q8×C71—21no—
769Q8×C71—41no—
770Q8×C71—81no—
771D4×C71—21no—
772D4×C71—21no—
773D4×C71—21no—
774D4×C71—21no—
775D4×C71—21no—
776D4×C71—21no—
777D4×C71—41no—
778D4×C71—41no—
779D4×C71—41no—
780D4×C71—41no—
781D4×C71—41no—
782D4×C71—41no—
783D4×C71—41no—
784D4×C71—42no—
785D4×C71—81no—
786D4×C71—81no—
787D4×C71—81no—
788D4×C71—81no—
789D4×C71—81no—
790D4×C71—81no—
791D4×C71—81no—
792D4×C71—81no—
793D4×C71—81no—
794D4×C71—81no—
795D4×C71—81no—
796D4×C71—81no—
797D4×C71—81no—
798D4×C71—81no—
799C2×C4×C71—21no—
800C2×C4×C71—21no—
801C2×C4×C71—21no—
802C2×C4×C71—21no—
803C2×C4×C71—21no—
804C2×C4×C71—21no—
805C2×C4×C71—21no—
806C2×C4×C71—21no—
807C2×C4×C71—21no—
808C2×C4×C71—21no—
809C2×C4×C71—21no—
810C2×C4×C71—21no—
811C2×C4×C71—21no—
812C2×C4×C71—21no—
813C2×C4×C71—21no—
814C2×C4×C71—41no—
815C2×C4×C71—41no—
816C2×C4×C71—41no—
817C2×C4×C71—42no—
818C2×C4×C71—81no—
819C2×C4×C71—81no—
820C2×C4×C71—81no—
821C2×C4×C71—81no—
822C2×C4×C71—81no—
823C2×C4×C71—81no—
824C2×C4×C71C22×D411yescharacteristic
825C2×C4×C71C22×D411yescharacteristic
826C2×C4×C71C22×D411yescharacteristic
827C2×C4×C71C22×D411yescharacteristic
828C2×C4×C71C22×D411yescharacteristic
829C2×C4×C71C22×D411yescharacteristic
830C2×C4×C71C22×D411yescharacteristic
831C2×C4×C71C22×D411yescharacteristic
832C2×C4×C71C22×D411yescharacteristic
833C2×C4×C71C2511yescharacteristic
834C22⋊D71—42no—
835C22⋊D71—42no—
836C22⋊D71—42no—
837C22⋊D71—42no—
838C22⋊D71—42no—
839C22⋊D71—42no—
840C22⋊D71—42no—
841C22⋊D71—81no—
842C22⋊D71—81no—
843C2×Dic71—21no—
844C2×Dic71—21no—
845C2×Dic71—21no—
846C2×Dic71—21no—
847C2×Dic71—21no—
848C2×Dic71—42no—
849D284—24no—
850D284—21no—
851D284—21no—
852D284—21no—
853D284—21no—
854D284—42no—
855D284—42no—
856D284H(5,𝔽2)12yes—
857D284H(5,𝔽2)12yes—
858C4×D71—42no—
859C4×D71—42no—
860C4×D71—42no—
861C4×D71—42no—
862C4×D71—42no—
863C4×D71—42no—
864C4×D71—42no—
865C4×D71—81no—
866C4×D71—81no—
867C4×D71—81no—
868C4×D71—81no—
869Dic142—21no—
870Dic142—21no—
871Dic142—21no—
872Dic142—21no—
873Dic142—21no—
874Dic142—21no—
875Dic142—42no—
876C71⋊C8—21no—
877C71⋊C8—21no—
878C71⋊C8—21no—
879C71⋊C8—21no—
880C71⋊C8—21no—
881C71⋊C8—21no—
882C71⋊C8—21no—
883C71⋊C8—21no—
884C22×C71—21no—
885C22×C71—21no—
886C22×C71—21no—
887C22×C71—21no—
888C22×C71—21no—
889C22×C71—21no—
890C22×C71—21no—
891C22×C71—21no—
892C22×C71—21no—
893C22×C71—21no—
894C22×C71—21no—
895C22×C71—21no—
896C22×C71—21no—
897C22×C71—21no—
898C22×C71—21no—
899C22×C71—41no—
900C22×C71—41no—
901C22×C71—41no—
902C22×C71—41no—
903C22×C71—41no—
904C22×C71—41no—
905C22×C71—41no—
906C22×C71—41no—
907C22×C71—41no—
908C22×C71—82no—
909C22×C71—162no—
910C22×C71—162no—
911C22×C71C23×D411yescharacteristic
912C2×D71—22no—
913C2×D71—22no—
914C2×D71—41no—
915C2×D71—41no—
916C2×D71—41no—
917C2×D71—41no—
918C2×D71—41no—
919C2×D71—41no—
920C2×D71—41no—
921C2×D71—84no—
922C2×D71—162no—
923C2×D71—162no—
924C4×C71—21no—
925C4×C71—21no—
926C4×C71—21no—
927C4×C71—21no—
928C4×C71—21no—
929C4×C71—21no—
930C4×C71—21no—
931C4×C71—21no—
932C4×C71—21no—
933C4×C71—41no—
934C4×C71—41no—
935C4×C71—41no—
936C4×C71—41no—
937C4×C71—41no—
938C4×C71C2×H(5,𝔽2)11yescharacteristic
939C4×C71C2×H(5,𝔽2)11yescharacteristic
940Dic71—41no—
941Dic71—41no—
942Dic71—41no—
943Dic71—41no—
944Dic71—41no—
945#61614—711nomaximal, Sylow
946C2×C71—41no—
947C2×C71—41no—
948C2×C71—41no—
949C2×C71—41no—
950C2×C71—41no—
951C2×C71—81no—
952C2×C71—81no—
953C2×C71—81no—
954C2×C71#348411yescharacteristic
955C2×C71#358411yescharacteristic
956C2×C71#358511yescharacteristic
957D71—42no—
958D71—42no—
959D71—81no—
960#3542D7111yescharacteristic, complemented
961#3485—711no—
962#3330—711no—
963#3323—711no—
964#3319—711no—
965#3315—711no—
966#3307—711no—
967#3306—711no—
968#3303—711no—
969#3297—711no—
970#3284—711no—
971#3280—711no—
972#3273—711no—
973#3272—711no—
974#3268—711no—
975#3267—711no—
976#3267—711no—
977#3264—711no—
978#3225—711no—
979#3221—711no—
980#3201—711no—
981#3200—711no—
982#3197—711no—
983#3188—711no—
984#3122—711no—
985#3118—711no—
986#3012—711no—
987#3008—711no—
988#3006—711no—
989#3002—711no—
990#2976—711no—
991C71#6161411yescharacteristic, complemented, Sylow
992C2×H(5,𝔽2)—711no—
993C22×#41—711no—
994C2×AGL(1,ℤ/8)—711no—
995C2×AGL(1,ℤ/8)—711no—
996C2×AGL(1,ℤ/8)—711no—
997C2×AGL(1,ℤ/8)—711no—
998C2×#135—711no—
999C2×#135—711no—
1000C2×#135—711no—
1001C22×D8—711no—
1002#562—21no—
1003#560—21no—
1004#555C2×D7111yescharacteristic, complemented
1005#553C2×D7111yescharacteristic, complemented
1006#552C2×D7111yescharacteristic, complemented
1007#551—21no—
1008#550C2×D7111yescharacteristic, complemented
1009#547—711no—
1010#547—711no—
1011#547—711no—
1012#547—711no—
1013#547—1421no—
1014#547—1421no—
1015#547C2×D7111yescharacteristic, complemented
1016#546—21no—
1017#546—711no—
1018#546—711no—
1019#546—711no—
1020#546—711no—
1021#546—1421no—
1022#546—1421no—
1023#546C2×D7111yescharacteristic, complemented
1024#546C2×D7111yescharacteristic, complemented
1025D42C2×D7111yescharacteristic, complemented
1026#542C2×D7111yescharacteristic, complemented
1027#540—21no—
1028#540C2×D7111yescharacteristic, complemented
1029#538—21no—
1030#537C2×D7111yescharacteristic
1031#536—711no—
1032#536—711no—
1033#535—21no—
1034#535C2×D7111yescharacteristic
1035#534—21no—
1036#534—1421no—
1037#534—1421no—
1038#525—711no—
1039#525C2×D7111yescharacteristic
1040#525C2×D7111yescharacteristic, complemented
1041C2×#123—1421no—
1042C2×#123—1421no—
1043C2×#121C2×D7111yescharacteristic, complemented
1044#518—711no—
1045#497—711no—
1046#496—711no—
1047#495—711no—
1048#492—711no—
1049#491—711no—
1050#489—711no—
1051#488—711no—
1052#487—711no—
1053#485—711no—
1054#485—711no—
1055#485—711no—
1056#485—711no—
1057#484—711no—
1058#484—711no—
1059#483—711no—
1060#482—711no—
1061#482—711no—
1062#482—711no—
1063#482—711no—
1064#481—711no—
1065#478—711no—
1066#478—711no—
1067#476—711no—
1068#474—711no—
1069#470—711no—
1070#470—711no—
1071#469—711no—
1072#468—711no—
1073#468—711no—
1074#468—711no—
1075#468—711no—
1076#468—711no—
1077#467—711no—
1078#466—711no—
1079#466—711no—
1080#465—711no—
1081#465—711no—
1082#465—711no—
1083#465—711no—
1084#465—711no—
1085#464—711no—
1086#463—711no—
1087#463—711no—
1088#463—711no—
1089#463—711no—
1090#463—711no—
1091#462—711no—
1092#461—711no—
1093#461—711no—
1094#461—711no—
1095#459—711no—
1096#459—711no—
1097#452—711no—
1098#452—711no—
1099#452—711no—
1100#452—711no—
1101#452—711no—
1102#452—711no—
1103#452—711no—
1104#451—711no—
1105#450—711no—
1106#450—711no—
1107#450—711no—
1108#450—711no—
1109#450—711no—
1110#449—711no—
1111#449—711no—
1112#449—711no—
1113#449—711no—
1114#449—711no—
1115#449—711no—
1116#449—711no—
1117#449—711no—
1118#449—711no—
1119#449—711no—
1120#449—711no—
1121#449—711no—
1122#449—711no—
1123#448—711no—
1124#448—711no—
1125#448—711no—
1126#447—711no—
1127#447—711no—
1128#447—711no—
1129#447—711no—
1130#447—711no—
1131#447—711no—
1132#447—711no—
1133#442—711no—
1134#442—711no—
1135#442—711no—
1136#440—711no—
1137C4×SD16—711no—
1138C4×D8—711no—
1139C4×D8—711no—
1140C4×D8—711no—
1141#436—711no—
1142#436—711no—
1143#435—711no—
1144#435—711no—
1145#435—711no—
1146#435—711no—
1147C8×D4—711no—
1148C8×D4—711no—
1149#433—711no—
1150#433—711no—
1151#418—711no—
1152#417—711no—
1153#417—711no—
1154#417—711no—
1155#416—711no—
1156#416—711no—
1157#416—711no—
1158C2×#102—711no—
1159#408—711no—
1160#408—711no—
1161#407—711no—
1162C2×C22⋊C8—711no—
1163H(5,𝔽2)—2842no—
1164H(5,𝔽2)—2842no—
1165C2×#41—21no—
1166C2×#41—2842no—
1167C2×#41—2842no—
1168C2×#41—711no—
1169C2×#41—711no—
1170C2×#41—711no—
1171C2×#41—711no—
1172C2×#41—711no—
1173C2×#41—711no—
1174C2×#41—711no—
1175C2×#41—1421no—
1176C2×#41—1421no—
1177C2×#41—1421no—
1178C2×#41C22×D7111yescharacteristic
1179C2×#41C22×D7111yescharacteristic
1180C2×#41C22×D7111yescharacteristic
1181C22×Q8—711no—
1182C22×D4—21no—
1183C22×D4—21no—
1184C22×D4—711no—
1185C22×D4—711no—
1186C22×D4—711no—
1187C22×D4—1421no—
1188C22×D4—1421no—
1189C22×D4—1421no—
1190C22×D4—1421no—
1191C22×D4C22×D7111yescharacteristic
1192C22×D4C22×D7111yescharacteristic
1193C23×C4—1421no—
1194C23×C4C22×D7111yescharacteristic
1195AGL(1,ℤ/8)—2842no—
1196AGL(1,ℤ/8)—2842no—
1197AGL(1,ℤ/8)—2842no—
1198AGL(1,ℤ/8)—2842no—
1199#135—2842no—
1200#135—2842no—
1201#135—2842no—
1202C2×Q16—711no—
1203C2×Q16—711no—
1204C2×Q16—711no—
1205C2×SD16—711no—
1206C2×SD16—711no—
1207C2×SD16—711no—
1208C2×SD16—711no—
1209C2×SD16—711no—
1210C2×SD16—711no—
1211C2×SD16—711no—
1212C2×SD16—711no—
1213C2×SD16—711no—
1214C2×SD16—711no—
1215C2×SD16—711no—
1216C2×SD16—711no—
1217C2×D8—2842no—
1218C2×D8—711no—
1219C2×D8—711no—
1220C2×D8—711no—
1221C2×D8—711no—
1222C2×D8—711no—
1223C2×D8—711no—
1224C2×D8—711no—
1225C2×D8—711no—
1226C2×D8—711no—
1227C2×M16—711no—
1228C2×M16—711no—
1229C2×M16—711no—
1230C2×M16—711no—
1231C22×C8—711no—
1232C22×C8—711no—
1233C22×C8—711no—
1234C22×C8—711no—
1235C4⋊Q8—711no—
1236C4⋊Q8—711no—
1237C4⋊Q8—1421no—
1238C4⋊Q8C22×D7111yescharacteristic
1239#127—21no—
1240#127—21no—
1241#127C22×D7111yescharacteristic
1242#126—21no—
1243#126—21no—
1244#126—21no—
1245#125—21no—
1246#125C22×D7111yescharacteristic
1247#124—21no—
1248#124—21no—
1249#124—21no—
1250#124—21no—
1251#124—711no—
1252#124—711no—
1253#124—1421no—
1254#124C22×D7111yescharacteristic
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259#123—21no—
1260#123—21no—
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—21no—
1265#123—1421no—
1266#123—1421no—
1267#123—1421no—
1268#123—1421no—
1269#123—1421no—
1270#123—1421no—
1271#123—1421no—
1272#123—1421no—
1273#123—1421no—
1274#123—1421no—
1275#123—1421no—
1276#123—1421no—
1277#123—1421no—
1278#123—1421no—
1279#123—1421no—
1280#123—1421no—
1281#123—1421no—
1282#123C22⋊D7111yescharacteristic
1283#123C22⋊D7111yescharacteristic
1284C22⋊Q8—21no—
1285C22⋊Q8—21no—
1286C22⋊Q8—21no—
1287C22⋊Q8—711no—
1288C22⋊Q8—711no—
1289C22⋊Q8—711no—
1290C22⋊Q8—711no—
1291C22⋊Q8—711no—
1292C22⋊Q8—711no—
1293C22⋊Q8—1421no—
1294C22⋊Q8—1421no—
1295C22⋊Q8C22⋊D7111yescharacteristic
1296C22⋊Q8C22⋊D7111yescharacteristic
1297C22⋊Q8C22×D7111yescharacteristic
1298C22⋊Q8C22×D7111yescharacteristic
1299C22⋊Q8C22×D7111yescharacteristic
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—21no—
1312#121—21no—
1313#121—21no—
1314#121—711no—
1315#121—711no—
1316#121—1421no—
1317#121—1421no—
1318#121—1421no—
1319#121—1421no—
1320#121—1421no—
1321#121—1421no—
1322#121—1421no—
1323#121—1421no—
1324#121C22⋊D7111yescharacteristic
1325#121C22⋊D7111yescharacteristic
1326#121C22×D7111yescharacteristic
1327#121C22×D7111yescharacteristic
1328#121C22×D7111yescharacteristic
1329#121C22×D7111yescharacteristic
1330#121C22×D7111yescharacteristic
1331#121C22×D7111yescharacteristic
1332#121C22×D7111yescharacteristic
1333#121C22×D7111yescharacteristic
1334#121C22×D7111yescharacteristic
1335#120—21no—
1336#120—21no—
1337#120—21no—
1338#120—21no—
1339#120—21no—
1340#120—21no—
1341#120—21no—
1342#120—1421no—
1343#120—1421no—
1344#120—1421no—
1345#120—1421no—
1346#120—1421no—
1347#120C22⋊D7111yescharacteristic
1348#120C22⋊D7111yescharacteristic
1349C4×Q8C22×D7111yescharacteristic
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—21no—
1353C4×D4—21no—
1354C4×D4—711no—
1355C4×D4—711no—
1356C4×D4—711no—
1357C4×D4—711no—
1358C4×D4—1421no—
1359C4×D4—1421no—
1360C4×D4—1421no—
1361C4×D4—1421no—
1362C4×D4C22×D7111yescharacteristic
1363C4×D4C22×D7111yescharacteristic
1364C4×D4C22×D7111yescharacteristic
1365C4×D4C22×D7111yescharacteristic
1366C4×D4C22×D7111yescharacteristic
1367C4×D4C22×D7111yescharacteristic
1368C4×D4C22×D7111yescharacteristic
1369#117—21no—
1370#117—21no—
1371#117—711no—
1372#117C22×D7111yescharacteristic
1373#117C22×D7111yescharacteristic
1374#117C22×D7111yescharacteristic
1375C2×C4⋊C4—1421no—
1376C2×C4⋊C4—1421no—
1377C2×C4⋊C4—1421no—
1378C2×C4⋊C4—1421no—
1379C2×C4⋊C4C22×D7111yescharacteristic
1380C2×C4⋊C4C22×D7111yescharacteristic
1381C2×C22⋊C4—21no—
1382C2×C22⋊C4—21no—
1383C2×C22⋊C4—21no—
1384C2×C22⋊C4—1421no—
1385C2×C22⋊C4—1421no—
1386C2×C22⋊C4—1421no—
1387C2×C22⋊C4—1421no—
1388C2×C22⋊C4—1421no—
1389C2×C22⋊C4—1421no—
1390#107—711no—
1391#107—711no—
1392#107—711no—
1393#107—711no—
1394#106—711no—
1395#106—711no—
1396#106—711no—
1397#106—711no—
1398C4⋊C8—711no—
1399C4⋊C8—711no—
1400C4⋊C8—711no—
1401C4⋊C8—711no—
1402#103—711no—
1403#103—711no—
1404#103—711no—
1405#103—711no—
1406#103—711no—
1407#103—711no—
1408#103—711no—
1409#103—711no—
1410#103—711no—
1411#103—711no—
1412#103—711no—
1413#103—711no—
1414#103—711no—
1415#103—711no—
1416#102—711no—
1417#102—711no—
1418#102—711no—
1419#102—711no—
1420#102—711no—
1421#102—711no—
1422#102—711no—
1423#102—711no—
1424#102—711no—
1425#102—711no—
1426#102—711no—
1427#102—711no—
1428#102—711no—
1429#102—711no—
1430#102—711no—
1431#102—711no—
1432#102—711no—
1433#102—711no—
1434C22⋊C8—711no—
1435C22⋊C8—711no—
1436C22⋊C8—711no—
1437C22⋊C8—711no—
1438C22⋊C8—711no—
1439C22⋊C8—711no—
1440C22⋊C8—711no—
1441C22⋊C8—711no—
1442C22⋊C8—711no—
1443C22⋊C8—711no—
1444C22⋊C8—711no—
1445C22⋊C8—711no—
1446#97—711no—
1447#97—711no—
1448C4×C8—711no—
1449C4×C8—711no—
1450C24—21no—
1451C24—21no—
1452C24—1421no—
1453C24—1421no—
1454C24—1421no—
1455C24C2×C22⋊D7111yescharacteristic
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—41no—
1461#41—41no—
1462#41—82no—
1463#41—2841no—
1464#41—2841no—
1465#41—2841no—
1466#41—2841no—
1467#41—2841no—
1468#41—2841no—
1469#41—2841no—
1470#41—2841no—
1471#41—2844no—
1472#41—2844no—
1473#41—2844no—
1474#41—1422no—
1475#41—1422no—
1476#41—1422no—
1477#41—1422no—
1478#41—1422no—
1479#41—1422no—
1480C2×Q8—21no—
1481C2×Q8—2841no—
1482C2×Q8—2841no—
1483C2×Q8—711no—
1484C2×Q8—711no—
1485C2×Q8—711no—
1486C2×Q8—1421no—
1487C2×Q8C2×C22⋊D7111yescharacteristic
1488C2×Q8C23×D7111yescharacteristic
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—41no—
1505C2×D4—41no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—82no—
1509C2×D4—82no—
1510C2×D4—2841no—
1511C2×D4—2841no—
1512C2×D4—2844no—
1513C2×D4—2844no—
1514C2×D4—2844no—
1515C2×D4—2844no—
1516C2×D4—711no—
1517C2×D4—711no—
1518C2×D4—711no—
1519C2×D4—1422no—
1520C2×D4—1422no—
1521C2×D4—1422no—
1522C2×D4—1422no—
1523C2×D4—1421no—
1524C2×D4—1421no—
1525C2×D4—1421no—
1526C2×D4—1421no—
1527C2×D4—1421no—
1528C2×D4—1421no—
1529C2×D4—1421no—
1530C2×D4—1421no—
1531C2×D4—1421no—
1532C2×D4—1421no—
1533C2×D4—1421no—
1534C2×D4—1421no—
1535C2×D4C2×C22⋊D7111yescharacteristic
1536C2×D4C2×C22⋊D7111yescharacteristic
1537C2×D4C2×C22⋊D7111yescharacteristic
1538C2×D4C2×C22⋊D7111yescharacteristic
1539C2×D4C2×C22⋊D7111yescharacteristic
1540C2×D4C2×C22⋊D7111yescharacteristic
1541C2×D4C2×C22⋊D7111yescharacteristic
1542C2×D4C23×D7111yescharacteristic
1543C2×D4C23×D7111yescharacteristic
1544C2×D4C23×D7111yescharacteristic
1545C22×C4—21no—
1546C22×C4—21no—
1547C22×C4—21no—
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—41no—
1553C22×C4—41no—
1554C22×C4—2844no—
1555C22×C4—1421no—
1556C22×C4—1421no—
1557C22×C4—1421no—
1558C22×C4—1421no—
1559C22×C4—1421no—
1560C22×C4—1421no—
1561C22×C4—1421no—
1562C22×C4—1421no—
1563C22×C4—1421no—
1564C22×C4—1421no—
1565C22×C4—1421no—
1566C22×C4—1421no—
1567C22×C4C2×C22⋊D7111yescharacteristic
1568C22×C4C2×C22⋊D7111yescharacteristic
1569C22×C4C2×C22⋊D7111yescharacteristic
1570C22×C4C23×D7111yescharacteristic
1571C22×C4C23×D7111yescharacteristic
1572C22×C4C23×D7111yescharacteristic
1573C22×C4C23×D7111yescharacteristic
1574C22×C4C23×D7111yescharacteristic
1575Q16—2841no—
1576Q16—2841no—
1577Q16—2841no—
1578SD16—2841no—
1579SD16—2841no—
1580SD16—2841no—
1581SD16—2841no—
1582SD16—2841no—
1583SD16—2841no—
1584SD16—2841no—
1585SD16—2841no—
1586SD16—2841no—
1587SD16—2841no—
1588SD16—1422no—
1589SD16—1422no—
1590D8—2841no—
1591D8—2841no—
1592D8—2841no—
1593D8—1422no—
1594D8—1422no—
1595D8—1422no—
1596D8—1422no—
1597D8—1422no—
1598D8—1422no—
1599M16—2841no—
1600M16—2841no—
1601M16—2841no—
1602M16—2841no—
1603C2×C8—2841no—
1604C2×C8—2841no—
1605C2×C8—2841no—
1606C2×C8—2841no—
1607C2×C8—711no—
1608C2×C8—711no—
1609C2×C8—711no—
1610C2×C8—711no—
1611C2×C8—711no—
1612C2×C8—711no—
1613C2×C8—711no—
1614C2×C8—711no—
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—21no—
1624C4⋊C4—711no—
1625C4⋊C4—711no—
1626C4⋊C4—1421no—
1627C4⋊C4—1421no—
1628C4⋊C4—1421no—
1629C4⋊C4—1421no—
1630C4⋊C4—1421no—
1631C4⋊C4—1421no—
1632C4⋊C4—1421no—
1633C4⋊C4—1421no—
1634C4⋊C4—1421no—
1635C4⋊C4—1421no—
1636C4⋊C4C2×C22⋊D7111yescharacteristic
1637C4⋊C4C2×C22⋊D7111yescharacteristic
1638C4⋊C4C2×C22⋊D7111yescharacteristic
1639C4⋊C4C2×C22⋊D7111yescharacteristic
1640C4⋊C4C2×C22⋊D7111yescharacteristic
1641C4⋊C4C2×C22⋊D7111yescharacteristic
1642C4⋊C4C23×D7111yescharacteristic
1643C4⋊C4C23×D7111yescharacteristic
1644C4⋊C4C23×D7111yescharacteristic
1645C4⋊C4C23×D7111yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—1421no—
1666C22⋊C4—1421no—
1667C22⋊C4—1421no—
1668C22⋊C4—1421no—
1669C22⋊C4—1421no—
1670C22⋊C4—1421no—
1671C22⋊C4—1421no—
1672C22⋊C4—1421no—
1673C22⋊C4—1421no—
1674C22⋊C4—1421no—
1675C22⋊C4—1421no—
1676C22⋊C4—1421no—
1677C22⋊C4—1421no—
1678C22⋊C4—1421no—
1679C22⋊C4—1421no—
1680C22⋊C4—1421no—
1681C22⋊C4—1421no—
1682C22⋊C4C2×C22⋊D7111yescharacteristic
1683C22⋊C4C2×C22⋊D7111yescharacteristic
1684C22⋊C4C2×C22⋊D7111yescharacteristic
1685C22⋊C4C2×C22⋊D7111yescharacteristic
1686C22⋊C4C2×C22⋊D7111yescharacteristic
1687C22⋊C4C2×C22⋊D7111yescharacteristic
1688C22⋊C4C2×C22⋊D7111yescharacteristic
1689C22⋊C4C2×C22⋊D7111yescharacteristic
1690C22⋊C4C2×C22⋊D7111yescharacteristic
1691C22⋊C4C2×C22⋊D7111yescharacteristic
1692C42—21no—
1693C42—21no—
1694C42—21no—
1695C42—1421no—
1696C42C23×D7111yescharacteristic
1697C42C23×D7111yescharacteristic
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—41no—
1702C23—41no—
1703C23—41no—
1704C23—42no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—81no—
1709C23—81no—
1710C23—2842no—
1711C23—2842no—
1712C23—5681no—
1713C23—5681no—
1714C23—5681no—
1715C23—5681no—
1716C23—5681no—
1717C23—5681no—
1718C23—1424no—
1719C23—1421no—
1720C23—1421no—
1721C23—1421no—
1722C23C22×C22⋊D7111yescharacteristic
1723C23C22×C22⋊D7111yescharacteristic
1724C23C22×C22⋊D7111yescharacteristic
1725C23C22×C22⋊D7111yescharacteristic
1726C23C22×C22⋊D7111yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—41no—
1730Q8—81no—
1731Q8—2842no—
1732Q8—1421no—
1733Q8—1421no—
1734Q8—1421no—
1735Q8—1421no—
1736Q8—1421no—
1737Q8—1421no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—41no—
1745D4—41no—
1746D4—41no—
1747D4—41no—
1748D4—41no—
1749D4—41no—
1750D4—41no—
1751D4—42no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—81no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—2842no—
1767D4—2842no—
1768D4—2842no—
1769D4—2842no—
1770D4—2842no—
1771D4—2842no—
1772D4—2842no—
1773D4—2842no—
1774D4—2842no—
1775D4—5681no—
1776D4—5681no—
1777D4—712no—
1778D4—712no—
1779D4—1424no—
1780D4—1421no—
1781D4—1421no—
1782D4—1421no—
1783D4—1421no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—41no—
1800C2×C4—41no—
1801C2×C4—41no—
1802C2×C4—42no—
1803C2×C4—81no—
1804C2×C4—81no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—2842no—
1810C2×C4—2842no—
1811C2×C4—2842no—
1812C2×C4—2842no—
1813C2×C4—2842no—
1814C2×C4—2842no—
1815C2×C4—2842no—
1816C2×C4—2842no—
1817C2×C4—5681no—
1818C2×C4—5681no—
1819C2×C4—5681no—
1820C2×C4—5681no—
1821C2×C4—1421no—
1822C2×C4—1421no—
1823C2×C4—1421no—
1824C2×C4—1421no—
1825C2×C4—1421no—
1826C2×C4C22×C22⋊D7111yescharacteristic
1827C2×C4C22×C22⋊D7111yescharacteristic
1828C2×C4C22×C22⋊D7111yescharacteristic
1829C2×C4C22×C22⋊D7111yescharacteristic
1830C2×C4C22×C22⋊D7111yescharacteristic
1831C2×C4C22×C22⋊D7111yescharacteristic
1832C2×C4C22×C22⋊D7111yescharacteristic
1833C2×C4C22×C22⋊D7111yescharacteristic
1834C2×C4C22×C22⋊D7111yescharacteristic
1835C2×C4C24×D7111yescharacteristic
1836C8—1421no—
1837C8—1421no—
1838C8—1421no—
1839C8—1421no—
1840C8—1421no—
1841C8—1421no—
1842C8—1421no—
1843C8—1421no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—82no—
1869C22—162no—
1870C22—162no—
1871C22—2841no—
1872C22—2841no—
1873C22—2841no—
1874C22—2841no—
1875C22—2841no—
1876C22—2841no—
1877C22—2841no—
1878C22—5684no—
1879C22—11362no—
1880C22—11362no—
1881C22—1422no—
1882C22—1422no—
1883C22C23×C22⋊D7111yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—21no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—2841no—
1899C4—2841no—
1900C4—2841no—
1901C4—2841no—
1902C4—2841no—
1903C4H(5,𝔽2)×D7111yescharacteristic
1904C4H(5,𝔽2)×D7111yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—41no—
1909C2—41no—
1910C2—81no—
1911C2—81no—
1912C2—81no—
1913C2—2842no—
1914C2—2842no—
1915C2—5681no—
1916C2#2260197111yescharacteristic
1917C2#2260311111yescharacteristic
1918C2#2260312011yescharacteristic
subgroupG/H
centerC22C23×C22⋊D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3542C2
socleC22×C71C23×D4
hypercenter#3542D71
hypocenterC71#61614
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ #525 ◁ #3542

Complements

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

NH ≅ G/Ntype
1. #22601982C2semidirect
2. #22600639C2semidirect
3. #22600550C2semidirect
4. #22600490C2semidirect
5. #22600430C2semidirect
6. #22600310C2semidirect
7. #22600295C2semidirect
8. #22600262C2semidirect
9. #22600184C2semidirect
10. #22600070C2semidirect
11. #22600021C2semidirect
12. #22599947C2semidirect
13. #22599936C2semidirect
14. #22599881C2semidirect
15. #22599861C2semidirect
16. #22599861C2semidirect
17. #22599816C2semidirect
18. #22599443C2semidirect
19. #22599395C2semidirect
20. #22599216C2semidirect
21. #22599212C2semidirect
22. #22599177C2semidirect
23. #22599105C2semidirect
24. #22598578C2semidirect
25. #22598518C2semidirect
26. #22597641C2semidirect
27. #22597606C2semidirect
28. #22597590C2semidirect
29. #22597556C2semidirect
30. #22597388C2semidirect
31. C71×#3542C2semidirect
32. C2×#14556174C22semidirect
33. C22×#11765865C22semidirect
34. C2×#14556154C22semidirect
35. C2×#14556154C22semidirect
36. C2×#14556154C22semidirect
37. C2×#14556153C22semidirect
38. C2×#14556148C22semidirect
39. C2×#14556148C22semidirect
40. C2×#14556148C22semidirect
41. C22×#11765850C22semidirect
43. #17986654C22semidirect
44. #17986654C22semidirect
45. #17986654C22semidirect
51. #17986645C22semidirect
52. #17986645C22semidirect
53. #17986645C22semidirect
54. #17986575C22semidirect
55. #17986570C22semidirect
58. #17986510C22semidirect
61. #17986473C22semidirect
62. #17986394C22semidirect
63. #17986386C22semidirect
64. #17986381C22semidirect
65. #17986371C22semidirect
66. #17986369C22semidirect
67. #17986361C22semidirect
68. #17986356C22semidirect
69. #17986351C22semidirect
70. #17986340C22semidirect
71. #17986340C22semidirect
72. #17986340C22semidirect
73. #17986337C22semidirect
74. #17986334C22semidirect
75. #17986334C22semidirect
76. #17986329C22semidirect
77. #17986323C22semidirect
78. #17986320C22semidirect
79. #17986320C22semidirect
80. #17986320C22semidirect
81. #17986317C22semidirect
82. #17986296C22semidirect
83. #17986296C22semidirect
84. #17986286C22semidirect
85. #17986276C22semidirect
86. #17986255C22semidirect
87. #17986255C22semidirect
88. #17986250C22semidirect
89. #17986247C22semidirect
90. #17986243C22semidirect
91. #17986243C22semidirect
92. #17986243C22semidirect
93. #17986243C22semidirect
94. #17986238C22semidirect
95. #17986233C22semidirect
96. #17986233C22semidirect
97. #17986226C22semidirect
98. #17986226C22semidirect
99. #17986226C22semidirect
100. #17986226C22semidirect
101. #17986226C22semidirect
102. #17986221C22semidirect
103. #17986214C22semidirect
104. #17986214C22semidirect
105. #17986214C22semidirect
106. #17986211C22semidirect
107. #17986211C22semidirect
108. #17986209C22semidirect
109. #17986204C22semidirect
110. #17986204C22semidirect
111. #17986204C22semidirect
112. #17986191C22semidirect
113. #17986191C22semidirect
114. #17986161C22semidirect
115. #17986161C22semidirect
116. #17986161C22semidirect
117. #17986159C22semidirect
118. #17986159C22semidirect
119. #17986159C22semidirect
120. #17986159C22semidirect
121. #17986154C22semidirect
122. #17986150C22semidirect
123. #17986150C22semidirect
124. #17986150C22semidirect
125. #17986149C22semidirect
126. #17986149C22semidirect
127. #17986144C22semidirect
129. #17986142C22semidirect
130. #17986142C22semidirect
131. #17986142C22semidirect
132. #17986142C22semidirect
133. #17986142C22semidirect
134. #17986142C22semidirect
135. #17986142C22semidirect
136. #17986142C22semidirect
137. #17986142C22semidirect
138. #17986142C22semidirect
139. #17986142C22semidirect
140. #17986137C22semidirect
141. #17986137C22semidirect
142. #17986137C22semidirect
143. #17986133C22semidirect
145. #17986132C22semidirect
146. #17986132C22semidirect
147. #17986132C22semidirect
148. #17986132C22semidirect
149. #17986132C22semidirect
150. #17986109C22semidirect
151. #17986109C22semidirect
152. #17986109C22semidirect
153. #17986097C22semidirect
154. C4×#11765852C22semidirect
155. C4×#11765850C22semidirect
156. C4×#11765850C22semidirect
157. C4×#11765850C22semidirect
158. #17986077C22semidirect
159. #17986077C22semidirect
160. #17986071C22semidirect
161. #17986071C22semidirect
162. #17986071C22semidirect
163. #17986071C22semidirect
164. D4×C71⋊C8C22semidirect
165. D4×C71⋊C8C22semidirect
166. #17986060C22semidirect
167. #17986060C22semidirect
168. #17986003C22semidirect
169. #17985998C22semidirect
170. #17985998C22semidirect
171. #17985998C22semidirect
172. #17985993C22semidirect
173. #17985993C22semidirect
174. #17985993C22semidirect
175. C2×#14556048C22semidirect
176. #17985966C22semidirect
177. #17985966C22semidirect
178. #17985963C22semidirect
179. C2×C22⋊(C71⋊C8)C22semidirect
182. #555×C71C22semidirect
183. #553×C71C22semidirect
184. #552×C71C22semidirect
186. #550×C71C22semidirect
187. #547×C71C22semidirect
189. #546×C71C22semidirect
190. #546×C71C22semidirect
191. D42×C71C22semidirect
192. #542×C71C22semidirect
194. #540×C71C22semidirect
201. #525×C71C22semidirect
202. C2×#121×C71C22semidirect
960. #3542D71semidirect
991. C71#61614semidirect
1004. #555C2×D71semidirect
1005. #553C2×D71semidirect
1006. #552C2×D71semidirect
1008. #550C2×D71semidirect
1015. #547C2×D71semidirect
1023. #546C2×D71semidirect
1024. #546C2×D71semidirect
1025. D42C2×D71semidirect
1026. #542C2×D71semidirect
1028. #540C2×D71semidirect
1040. #525C2×D71semidirect
1043. C2×#121C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226019822
#226006392
#226005502
#226004902
#226004302
#226003102
#226002952
#226002622
#226001842
#226000702
#226000212
#225999472
#225999362
#225998812
#225998612
#225998162
#225994432
#225993952
#225992162
#225992122
#225991772
#225991052
#225985782
#225985182
#225976412
#225976062
#225975902
#225975562
#225973882
C71×#35422
#6161471