Finite Group Databasebeta

← #32874225

Subgroups — #32874225

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
1#22601898C211yesmaximal, characteristic, complemented
2#22600526C211yesmaximal, characteristic, complemented
3#22600511C211yesmaximal, characteristic, complemented
4#22600496C211yesmaximal, characteristic, complemented
5#22600481C211yesmaximal, characteristic, complemented
6#22600466C211yesmaximal, characteristic, complemented
7#22600451C211yesmaximal, characteristic, complemented
8#22600436C211yesmaximal, characteristic, complemented
9#22600421C211yesmaximal, characteristic, complemented
10#22600406C211yesmaximal, characteristic, complemented
11#22600391C211yesmaximal, characteristic, complemented
12#22600376C211yesmaximal, characteristic, complemented
13#22600361C211yesmaximal, characteristic, complemented
14#22600346C211yesmaximal, characteristic, complemented
15#22600331C211yesmaximal, characteristic, complemented
16#22600316C211yesmaximal, characteristic, complemented
17#22600301C211yesmaximal, characteristic, complemented
18#22598685C211yesmaximal, characteristic, complemented
19#22598249C211yesmaximal, characteristic, complemented
20#22598249C211yesmaximal, characteristic, complemented
21#22598128C211yesmaximal, characteristic, complemented
22#22597946C211yesmaximal, characteristic, complemented
23#22597918C211yesmaximal, characteristic, complemented
24#22597789C211yesmaximal, characteristic, complemented
25#22597558C211yesmaximal, characteristic, complemented
26#22597558C211yesmaximal, characteristic, complemented
27#22597138C211yesmaximal, characteristic, complemented
28C2×#17986071C211yesmaximal, characteristic, complemented
29#22596859C211yesmaximal, characteristic, complemented
30C2×#17985995C211yesmaximal, characteristic, complemented
31D4×#41×C71C211yesmaximal, characteristic, complemented
32C2×#14556148C2211yescharacteristic
33C2×#14556148C2211yescharacteristic, complemented
34C2×#14556148C2211yescharacteristic, complemented
35C22×#11765849C2211yescharacteristic, complemented
36C23×C71⋊C8C2211yescharacteristic, complemented
37#17986719C2211yescharacteristic, complemented
38#17986714C2211yescharacteristic, complemented
39#17986706C2211yescharacteristic, complemented
40#17986695C2211yescharacteristic
41#17986695C2211yescharacteristic, complemented
42#17986689C2211yescharacteristic
43#17986689C2211yescharacteristic, complemented
44#17986684—21no—
45#17986675—21no—
46#17986675—21no—
47#17986653C2211yescharacteristic, complemented
48#17986643—21no—
49#17986556C2211yescharacteristic, complemented
50#17986531—21no—
51#17986529—21no—
52#17986529—21no—
53#17986510C2211yescharacteristic, complemented
54#17986510C2211yescharacteristic, complemented
55C4×#11765865C2211yescharacteristic, complemented
56C4×#11765864—21no—
57C2×#14556087C2211yescharacteristic, complemented
58C2×#14556087C2211yescharacteristic, complemented
59#17986367C2211yescharacteristic, complemented
60#17986367C2211yescharacteristic, complemented
61#17986363C2211yescharacteristic, complemented
62#17986363C2211yescharacteristic, complemented
63#17986358C2211yescharacteristic, complemented
64#17986358C2211yescharacteristic, complemented
65#17986358C2211yescharacteristic, complemented
66#17986358C2211yescharacteristic, complemented
67#17986337C2211yescharacteristic, complemented
68#17986337C2211yescharacteristic, complemented
69#17986337C2211yescharacteristic, complemented
70#17986337C2211yescharacteristic, complemented
71#17986332C2211yescharacteristic, complemented
72#17986332C2211yescharacteristic, complemented
73#17986327C2211yescharacteristic, complemented
74#17986327C2211yescharacteristic, complemented
75#17986320C2211yescharacteristic, complemented
76#17986320C2211yescharacteristic, complemented
77#17986320C2211yescharacteristic, complemented
78#17986320C2211yescharacteristic, complemented
79#17986315C2211yescharacteristic, complemented
80#17986315C2211yescharacteristic, complemented
81#17986310C2211yescharacteristic, complemented
82#17986310C2211yescharacteristic, complemented
83#17986306C2211yescharacteristic, complemented
84#17986306C2211yescharacteristic, complemented
85#17986299C2211yescharacteristic, complemented
86#17986299C2211yescharacteristic, complemented
87#17986294C2211yescharacteristic, complemented
88#17986289C2211yescharacteristic, complemented
89#17986284C2211yescharacteristic, complemented
90#17986279C2211yescharacteristic, 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#17986218C2211yescharacteristic, complemented
108#17986218C2211yescharacteristic, complemented
109#17986211C2211yescharacteristic, complemented
110#17986211C2211yescharacteristic, complemented
111#17986206C2211yescharacteristic, complemented
112#17986201C2211yescharacteristic, complemented
113#17986196C2211yescharacteristic, complemented
114#17986191C2211yescharacteristic, complemented
115#17986161C2211yescharacteristic, complemented
116#17986161C2211yescharacteristic, complemented
117#17986161C2211yescharacteristic, complemented
118#17986161C2211yescharacteristic, complemented
119#17986155C2211yescharacteristic, complemented
120#17986155C2211yescharacteristic, complemented
121#17986150C2211yescharacteristic, complemented
122#17986150C2211yescharacteristic, complemented
123#17986144C2211yescharacteristic, complemented
124#17986144C2211yescharacteristic, complemented
125#17986144C2211yescharacteristic, complemented
126#17986144C2211yescharacteristic, complemented
127#17986138C2211yescharacteristic, complemented
128#17986138C2211yescharacteristic, complemented
129#17986133C2211yescharacteristic, complemented
130#17986133C2211yescharacteristic, 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#17986008C2211yescharacteristic, complemented
152#17986008C2211yescharacteristic, complemented
153#17986004C2211yescharacteristic, complemented
154#17986004C2211yescharacteristic, complemented
155#17986000C2211yescharacteristic, complemented
156#17986000C2211yescharacteristic, complemented
157#17986000C2211yescharacteristic, complemented
158#17986000C2211yescharacteristic, complemented
159#17985995C2211yescharacteristic
160#17985995C2211yescharacteristic
161#17985995C2211yescharacteristic
162#17985995C2211yescharacteristic, complemented
163#17985995C2211yescharacteristic, complemented
164#17985995C2211yescharacteristic, complemented
165#17985995C2211yescharacteristic, complemented
166#17985995C2211yescharacteristic, complemented
167#17985995C2211yescharacteristic, complemented
168#17985995C2211yescharacteristic, complemented
169#17985995C2211yescharacteristic, complemented
170#17985995C2211yescharacteristic, complemented
171#17985995C2211yescharacteristic, complemented
172#17985993C2211yescharacteristic, complemented
173C2×#14556052C2211yescharacteristic, complemented
174C2×#14556052C2211yescharacteristic, complemented
175C2×#14556049C2211yescharacteristic, complemented
176C2×#14556049C2211yescharacteristic, complemented
177C2×C22⋊(C71⋊C8)C2211yescharacteristic, complemented
178C2×C22⋊(C71⋊C8)C2211yescharacteristic, complemented
179C2×#14556039C2211yescharacteristic, complemented
180C22×#41×C71C2211yescharacteristic
181C22×#41×C71C2211yescharacteristic
182#550×C71C2211yescharacteristic
183D4×Q8×C71C2211yescharacteristic
184#548×C71C2211yescharacteristic
185#548×C71C2211yescharacteristic
186#547×C71—21no—
187#547×C71C2211yescharacteristic
188#546×C71—21no—
189#546×C71—21no—
190#546×C71C2211yescharacteristic
191#546×C71C2211yescharacteristic
192D42×C71—21no—
193D42×C71C2211yescharacteristic
194#532×C71—21no—
195#532×C71C2211yescharacteristic
196#525×C71—21no—
197#525×C71—21no—
198#525×C71C2211yescharacteristic
199#525×C71C2211yescharacteristic
200C4×#41×C71C2211yescharacteristic
201C2×C4×D4×C71—21no—
202C2×C4×D4×C71C2211yescharacteristic
203C2×#11765865C2311yescharacteristic
204C2×#11765864—21no—
205#14556148—24no—
206#14556148—42no—
207#14556148—42no—
208C2×#11765855C2311yescharacteristic
209C2×#11765855C2311yescharacteristic
210C2×#11765855C2311yescharacteristic
211C2×#11765853C2311yescharacteristic
212C2×#11765853C2311yescharacteristic
213C2×#11765853C2311yescharacteristic
214C2×#11765852C2311yescharacteristic
215C2×#11765852C2311yescharacteristic
216C2×#11765852C2311yescharacteristic
217C2×#11765850C2311yescharacteristic
218C2×#11765850C2311yescharacteristic
219C2×#11765850C2311yescharacteristic
220C2×#11765849—42no—
221C2×#11765849C2311yescharacteristic
222C2×#11765849C2311yescharacteristic
223C2×#11765849C2311yescharacteristic
224C2×#11765849C2311yescharacteristic
225C22×C71⋊C8—42no—
226C22×C71⋊C8C2311yescharacteristic
227C22×C71⋊C8C2311yescharacteristic
228C22×C71⋊C8C2311yescharacteristic
229C22×C71⋊C8C2311yescharacteristic
230C22×C71⋊C8C2311yescharacteristic
231C22×C71⋊C8C2311yescharacteristic
232C22×C71⋊C8C2311yescharacteristic
233C22×C71⋊C8C2311yescharacteristic
234#14556128C2311yescharacteristic
235#14556128C2311yescharacteristic
236#14556123—21no—
237#14556123—21no—
238#14556121—21no—
239#14556121—21no—
240#14556121—21no—
241#14556121—21no—
242#14556120C2311yescharacteristic
243#14556120C2311yescharacteristic
244#14556119—21no—
245#14556118—21no—
246#14556118—21no—
247#14556115—21no—
248#14556114—21no—
249#14556114—21no—
250#14556112—21no—
251#14556112—21no—
252#14556111—21no—
253#14556111—21no—
254#14556110—21no—
255#14556110—21no—
256#14556109—21no—
257#14556109—21no—
258#14556108—21no—
259#14556107—21no—
260#14556107—21no—
261#14556107C2311yescharacteristic
262#14556107C2311yescharacteristic
263#14556107C2311yescharacteristic
264#14556107C2311yescharacteristic
265#14556105—21no—
266#14556105—21no—
267#14556102C2311yescharacteristic
268#14556102C2311yescharacteristic
269#14556102C2311yescharacteristic
270#14556102C2311yescharacteristic
271#14556100—21no—
272#14556100—21no—
273#14556099—21no—
274#14556097—21no—
275#14556097—21no—
276C4×Dic142—21no—
277C4×Dic142—21no—
278C4×Dic142C2311yescharacteristic
279C4×Dic142C2311yescharacteristic
280#14556093—21no—
281C4×D284C2311yescharacteristic
282C4×D284C2311yescharacteristic
283D4×Dic71—21no—
284C4×C22⋊D71—21no—
285C4×C22⋊D71—21no—
286C4×C22⋊D71—21no—
287C4×C22⋊D71—21no—
288C4×C22⋊D71—21no—
289C4×C22⋊D71—21no—
290(C22⋊D71)⋊C4—21no—
291(C22⋊D71)⋊C4—21no—
292#14556087—21no—
293#14556087—21no—
294#14556087—21no—
295#14556087—21no—
296#14556087C2311yescharacteristic
297#14556087C2311yescharacteristic
298#14556087C2311yescharacteristic
299#14556087C2311yescharacteristic
300#14556087C2311yescharacteristic
301#14556087C2311yescharacteristic
302#14556087C2311yescharacteristic
303#14556086—21no—
304#14556085—21no—
305#14556084—21no—
306#14556084—21no—
307C2×C4⋊Dic71C2311yescharacteristic
308C2×C4⋊Dic71C2311yescharacteristic
309C2×C4⋊Dic71C2311yescharacteristic
310C2×C4⋊Dic71C2311yescharacteristic
311C2×C22⋊Dic71—21no—
312C2×C22⋊Dic71—21no—
313C2×C4×Dic71—21no—
314C2×C4×Dic71—21no—
315C42×D71—21no—
316#14556061C2311yescharacteristic
317#14556061C2311yescharacteristic
318#14556061C2311yescharacteristic
319#14556061C2311yescharacteristic
320#14556061C2311yescharacteristic
321#14556061C2311yescharacteristic
322#14556059C2311yescharacteristic
323#14556059C2311yescharacteristic
324#14556059C2311yescharacteristic
325#14556059C2311yescharacteristic
326#14556059C2311yescharacteristic
327#14556059C2311yescharacteristic
328C4⋊(C71⋊C8)C2311yescharacteristic
329C4⋊(C71⋊C8)C2311yescharacteristic
330C4⋊(C71⋊C8)C2311yescharacteristic
331C4⋊(C71⋊C8)C2311yescharacteristic
332#14556052C2311yescharacteristic
333#14556052C2311yescharacteristic
334#14556052C2311yescharacteristic
335#14556052C2311yescharacteristic
336#14556052C2311yescharacteristic
337#14556052C2311yescharacteristic
338#14556052C2311yescharacteristic
339#14556052C2311yescharacteristic
340#14556052C2311yescharacteristic
341#14556052C2311yescharacteristic
342#14556052C2311yescharacteristic
343#14556052C2311yescharacteristic
344#14556052C2311yescharacteristic
345#14556052C2311yescharacteristic
346#14556052C2311yescharacteristic
347#14556052C2311yescharacteristic
348#14556052C2311yescharacteristic
349#14556052C2311yescharacteristic
350#14556051C2311yescharacteristic
351#14556051C2311yescharacteristic
352#14556049C2311yescharacteristic
353#14556049C2311yescharacteristic
354#14556049C2311yescharacteristic
355#14556049C2311yescharacteristic
356#14556049C2311yescharacteristic
357#14556049C2311yescharacteristic
358#14556049C2311yescharacteristic
359#14556049C2311yescharacteristic
360#14556049C2311yescharacteristic
361#14556049C2311yescharacteristic
362#14556049C2311yescharacteristic
363#14556049C2311yescharacteristic
364#14556049C2311yescharacteristic
365#14556049C2311yescharacteristic
366#14556049C2311yescharacteristic
367#14556049C2311yescharacteristic
368#14556049C2311yescharacteristic
369#14556049C2311yescharacteristic
370#14556048C2311yescharacteristic
371#14556048C2311yescharacteristic
372C22⋊(C71⋊C8)C2311yescharacteristic
373C22⋊(C71⋊C8)C2311yescharacteristic
374C22⋊(C71⋊C8)C2311yescharacteristic
375C22⋊(C71⋊C8)C2311yescharacteristic
376C22⋊(C71⋊C8)C2311yescharacteristic
377C22⋊(C71⋊C8)C2311yescharacteristic
378C22⋊(C71⋊C8)C2311yescharacteristic
379C22⋊(C71⋊C8)C2311yescharacteristic
380#14556039C2311yescharacteristic
381#14556039C2311yescharacteristic
382#14556039C2311yescharacteristic
383#14556039C2311yescharacteristic
384C2×#41×C71—21no—
385C2×#41×C71—21no—
386C2×#41×C71—21no—
387C2×#41×C71—21no—
388C2×#41×C71—24no—
389C2×#41×C71—24no—
390C2×#41×C71—42no—
391C2×#41×C71—42no—
392C2×#41×C71C2311yescharacteristic
393C2×#41×C71C2311yescharacteristic
394C2×#41×C71C2311yescharacteristic
395C2×#41×C71C2311yescharacteristic
396C2×#41×C71C2311yescharacteristic
397C2×#41×C71C2311yescharacteristic
398C2×#41×C71C2311yescharacteristic
399C22×Q8×C71C2311yescharacteristic
400C22×Q8×C71C2311yescharacteristic
401C22×D4×C71—21no—
402C22×D4×C71—21no—
403C22×D4×C71—21no—
404C22×D4×C71D411yescharacteristic
405C22×D4×C71C2311yescharacteristic
406C22×D4×C71C2311yescharacteristic
407C23×C4×C71—21no—
408C23×C4×C71—21no—
409C23×C4×C71C2311yescharacteristic
410C23×C4×C71C2311yescharacteristic
411C4⋊Q8×C71—21no—
412C4⋊Q8×C71C2311yescharacteristic
413#127×C71—21no—
414#127×C71C2311yescharacteristic
415#124×C71—21no—
416#124×C71—21no—
417#124×C71C2311yescharacteristic
418#124×C71C2311yescharacteristic
419#123×C71—21no—
420#123×C71—21no—
421#123×C71—21no—
422#123×C71—21no—
423#123×C71—21no—
424#123×C71—21no—
425C22⋊Q8×C71—21no—
426C22⋊Q8×C71—21no—
427C22⋊Q8×C71—21no—
428C22⋊Q8×C71—21no—
429C22⋊Q8×C71C2311yescharacteristic
430C22⋊Q8×C71C2311yescharacteristic
431C22⋊Q8×C71C2311yescharacteristic
432C22⋊Q8×C71C2311yescharacteristic
433#121×C71—21no—
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×C71C2311yescharacteristic
444#121×C71C2311yescharacteristic
445#121×C71C2311yescharacteristic
446#121×C71C2311yescharacteristic
447#120×C71—21no—
448#120×C71—21no—
449#120×C71—21no—
450#120×C71—21no—
451#120×C71—21no—
452#120×C71—21no—
453C4×Q8×C71C2311yescharacteristic
454C4×Q8×C71C2311yescharacteristic
455C4×D4×C71—21no—
456C4×D4×C71—21no—
457C4×D4×C71—21no—
458C4×D4×C71—21no—
459C4×D4×C71—21no—
460C4×D4×C71—21no—
461C4×D4×C71—21no—
462C4×D4×C71—21no—
463C4×D4×C71—21no—
464C4×D4×C71—21no—
465C4×D4×C71—21no—
466C4×D4×C71—21no—
467C4×D4×C71D411yescharacteristic
468C4×D4×C71D411yescharacteristic
469C4×D4×C71D411yescharacteristic
470C4×D4×C71D411yescharacteristic
471C4×D4×C71C2311yescharacteristic
472C4×D4×C71C2311yescharacteristic
473C4×D4×C71C2311yescharacteristic
474C4×D4×C71C2311yescharacteristic
475C4×D4×C71C2311yescharacteristic
476C4×D4×C71C2311yescharacteristic
477#117×C71—21no—
478#117×C71C2311yescharacteristic
479C2×C4⋊C4×C71—21no—
480C2×C4⋊C4×C71D411yescharacteristic
481C2×C22⋊C4×C71—21no—
482C2×C22⋊C4×C71—21no—
483C2×C22⋊C4×C71D411yescharacteristic
484C2×C22⋊C4×C71D411yescharacteristic
485C2×C42×C71—21no—
486C2×C42×C71C2311yescharacteristic
487#11765865—22no—
488#11765865—22no—
489#11765864—44no—
490C2×Dic142—21no—
491C2×Dic142—21no—
492C2×Dic142C2411yescharacteristic
493C2×D284C2411yescharacteristic
494C2×C22⋊D71—21no—
495C2×C22⋊D71—21no—
496C2×C22⋊D71—21no—
497C2×C22⋊D71—21no—
498C2×C22⋊D71—21no—
499C22×Dic71—21no—
500C22×Dic71—21no—
501C22×Dic71—21no—
502C22×Dic71—21no—
503C2×C4×D71—21no—
504C2×C4×D71—21no—
505C2×C4×D71—21no—
506#11765855—22no—
507#11765855—41no—
508#11765855—41no—
509#11765853—22no—
510#11765853—41no—
511#11765853—41no—
512#11765852—22no—
513#11765852—41no—
514#11765852—41no—
515#11765850—22no—
516#11765850—41no—
517#11765850—41no—
518#11765849—41no—
519#11765849—41no—
520#11765849—41no—
521#11765849—41no—
522C2×C71⋊C8—22no—
523C2×C71⋊C8—22no—
524C2×C71⋊C8—22no—
525C2×C71⋊C8—22no—
526C2×C71⋊C8—41no—
527C2×C71⋊C8—41no—
528C2×C71⋊C8—41no—
529C2×C71⋊C8—41no—
530C2×C71⋊C8C2411yescharacteristic
531C2×C71⋊C8C2411yescharacteristic
532C2×C71⋊C8C2411yescharacteristic
533C2×C71⋊C8C2411yescharacteristic
534C2×C71⋊C8C2411yescharacteristic
535C2×C71⋊C8C2411yescharacteristic
536C2×C71⋊C8C2411yescharacteristic
537C2×C71⋊C8C2411yescharacteristic
538C4⋊Dic71—21no—
539C4⋊Dic71—21no—
540C4⋊Dic71—21no—
541C4⋊Dic71—21no—
542C4⋊Dic71—21no—
543C4⋊Dic71—21no—
544C4⋊Dic71C2411yescharacteristic
545C4⋊Dic71C2411yescharacteristic
546C4⋊Dic71C2411yescharacteristic
547C4⋊Dic71C2411yescharacteristic
548C4⋊Dic71C2411yescharacteristic
549C4⋊Dic71C2411yescharacteristic
550Dic71⋊C4—21no—
551Dic71⋊C4—21no—
552Dic71⋊C4—21no—
553Dic71⋊C4—21no—
554Dic71⋊C4—21no—
555Dic71⋊C4—21no—
556Dic71⋊C4—21no—
557Dic71⋊C4—21no—
558Dic71⋊C4—21no—
559Dic71⋊C4—21no—
560C22⋊Dic71—21no—
561C22⋊Dic71—21no—
562C22⋊Dic71—21no—
563C22⋊Dic71—21no—
564C22⋊Dic71—21no—
565C22⋊Dic71—21no—
566C22⋊Dic71—21no—
567C22⋊Dic71—21no—
568C22⋊Dic71—21no—
569C22⋊Dic71—21no—
570C22⋊Dic71—21no—
571(C2×D71)⋊C4—21no—
572(C2×D71)⋊C4—21no—
573(C2×D71)⋊C4—21no—
574(C2×D71)⋊C4—21no—
575(C2×D71)⋊C4—21no—
576(C2×D71)⋊C4—21no—
577C4×Dic71—21no—
578C4×Dic71—21no—
579C4×Dic71—21no—
580C4×Dic71—21no—
581C4×Dic71—21no—
582C4×Dic71—21no—
583C4×Dic71—21no—
584C4×Dic71—21no—
585C4×Dic71—21no—
586C24×C71—21no—
587C24×C71—21no—
588C24×C71C2×D411yescharacteristic
589C24×C71C2×D411yescharacteristic
590#41×C71—22no—
591#41×C71—22no—
592#41×C71—22no—
593#41×C71—22no—
594#41×C71—22no—
595#41×C71—22no—
596#41×C71—22no—
597#41×C71—22no—
598#41×C71—22no—
599#41×C71—44no—
600#41×C71—44no—
601#41×C71—41no—
602#41×C71—41no—
603#41×C71—41no—
604#41×C71—41no—
605#41×C71—44no—
606#41×C71—44no—
607#41×C71#4114yescomplemented
608C2×Q8×C71—21no—
609C2×Q8×C71—21no—
610C2×Q8×C71—22no—
611C2×Q8×C71—22no—
612C2×Q8×C71—41no—
613C2×Q8×C71—41no—
614C2×Q8×C71C2411yescharacteristic
615C2×Q8×C71C2411yescharacteristic
616C2×Q8×C71C2411yescharacteristic
617C2×D4×C71—21no—
618C2×D4×C71—22no—
619C2×D4×C71—22no—
620C2×D4×C71—21no—
621C2×D4×C71—21no—
622C2×D4×C71—21no—
623C2×D4×C71—21no—
624C2×D4×C71—21no—
625C2×D4×C71—21no—
626C2×D4×C71—21no—
627C2×D4×C71—21no—
628C2×D4×C71—21no—
629C2×D4×C71—21no—
630C2×D4×C71—21no—
631C2×D4×C71—21no—
632C2×D4×C71—21no—
633C2×D4×C71—21no—
634C2×D4×C71—41no—
635C2×D4×C71—41no—
636C2×D4×C71—42no—
637C2×D4×C71—44no—
638C2×D4×C71—44no—
639C2×D4×C71—44no—
640C2×D4×C71C2×D411yescharacteristic
641C2×D4×C71C2×D411yescharacteristic
642C2×D4×C71C2×D411yescharacteristic
643C2×D4×C71C2×D411yescharacteristic
644C2×D4×C71C2411yescharacteristic
645C2×D4×C71C2411yescharacteristic
646C2×D4×C71C2411yescharacteristic
647C22×C4×C71—21no—
648C22×C4×C71—22no—
649C22×C4×C71—22no—
650C22×C4×C71—22no—
651C22×C4×C71—22no—
652C22×C4×C71—21no—
653C22×C4×C71—21no—
654C22×C4×C71—21no—
655C22×C4×C71—21no—
656C22×C4×C71—21no—
657C22×C4×C71—21no—
658C22×C4×C71—21no—
659C22×C4×C71—21no—
660C22×C4×C71—21no—
661C22×C4×C71—21no—
662C22×C4×C71—44no—
663C22×C4×C71—44no—
664C22×C4×C71C2×D411yescharacteristic
665C22×C4×C71C2×D411yescharacteristic
666C22×C4×C71C2×D411yescharacteristic
667C22×C4×C71C2×D411yescharacteristic
668C22×C4×C71C2×D411yescharacteristic
669C22×C4×C71C2×D411yescharacteristic
670C22×C4×C71C2×D411yescharacteristic
671C22×C4×C71C2×D411yescharacteristic
672C22×C4×C71C2411yescharacteristic
673C22×C4×C71C2411yescharacteristic
674C22×C4×C71C2411yescharacteristic
675C22×C4×C71C2411yescharacteristic
676C22×C4×C71C2411yescharacteristic
677C4⋊C4×C71—21no—
678C4⋊C4×C71—21no—
679C4⋊C4×C71—21no—
680C4⋊C4×C71—21no—
681C4⋊C4×C71—21no—
682C4⋊C4×C71—21no—
683C4⋊C4×C71—21no—
684C4⋊C4×C71—21no—
685C4⋊C4×C71C2×D411yescharacteristic
686C4⋊C4×C71C2×D411yescharacteristic
687C4⋊C4×C71C2×D411yescharacteristic
688C4⋊C4×C71C2×D411yescharacteristic
689C4⋊C4×C71C2411yescharacteristic
690C4⋊C4×C71C2411yescharacteristic
691C22⋊C4×C71—21no—
692C22⋊C4×C71—21no—
693C22⋊C4×C71—21no—
694C22⋊C4×C71—21no—
695C22⋊C4×C71—21no—
696C22⋊C4×C71—21no—
697C22⋊C4×C71—21no—
698C22⋊C4×C71—21no—
699C22⋊C4×C71—21no—
700C22⋊C4×C71—21no—
701C22⋊C4×C71—21no—
702C22⋊C4×C71—21no—
703C22⋊C4×C71—21no—
704C22⋊C4×C71—21no—
705C22⋊C4×C71—21no—
706C22⋊C4×C71C2×D411yescharacteristic
707C22⋊C4×C71C2×D411yescharacteristic
708C22⋊C4×C71C2×D411yescharacteristic
709C22⋊C4×C71C2×D411yescharacteristic
710C22⋊C4×C71C2×D411yescharacteristic
711C22⋊C4×C71C2×D411yescharacteristic
712C22⋊C4×C71C2×D411yescharacteristic
713C22⋊C4×C71C2×D411yescharacteristic
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—21no—
724C23×C71—22no—
725C23×C71—21no—
726C23×C71—21no—
727C23×C71—41no—
728C23×C71—41no—
729C23×C71—41no—
730C23×C71—42no—
731C23×C71—42no—
732C23×C71—42no—
733C23×C71—42no—
734C23×C71—81no—
735C23×C71—81no—
736C23×C71C22×D411yescharacteristic
737C23×C71C22×D411yescharacteristic
738C23×C71C22×D411yescharacteristic
739C23×C71C22×D411yescharacteristic
740C23×C71C22×D411yescharacteristic
741C22×D71—21no—
742Q8×C71—21no—
743Q8×C71—21no—
744Q8×C71—21no—
745Q8×C71—21no—
746Q8×C71—21no—
747Q8×C71—42no—
748Q8×C71—42no—
749Q8×C71C2×#4112yes—
750D4×C71—24no—
751D4×C71—22no—
752D4×C71—22no—
753D4×C71—21no—
754D4×C71—21no—
755D4×C71—21no—
756D4×C71—21no—
757D4×C71—21no—
758D4×C71—41no—
759D4×C71—41no—
760D4×C71—42no—
761D4×C71—42no—
762D4×C71—42no—
763D4×C71—42no—
764D4×C71—42no—
765D4×C71—42no—
766D4×C71—42no—
767D4×C71—42no—
768D4×C71—42no—
769D4×C71—42no—
770D4×C71—42no—
771D4×C71—81no—
772D4×C71—81no—
773D4×C71—81no—
774D4×C71C2×#4112yes—
775C2×C4×C71—22no—
776C2×C4×C71—22no—
777C2×C4×C71—21no—
778C2×C4×C71—22no—
779C2×C4×C71—22no—
780C2×C4×C71—22no—
781C2×C4×C71—22no—
782C2×C4×C71—24no—
783C2×C4×C71—21no—
784C2×C4×C71—21no—
785C2×C4×C71—21no—
786C2×C4×C71—21no—
787C2×C4×C71—21no—
788C2×C4×C71—21no—
789C2×C4×C71—21no—
790C2×C4×C71—21no—
791C2×C4×C71—21no—
792C2×C4×C71—21no—
793C2×C4×C71—21no—
794C2×C4×C71—21no—
795C2×C4×C71—41no—
796C2×C4×C71—41no—
797C2×C4×C71—42no—
798C2×C4×C71—42no—
799C2×C4×C71—42no—
800C2×C4×C71—42no—
801C2×C4×C71—42no—
802C2×C4×C71—42no—
803C2×C4×C71—42no—
804C2×C4×C71—42no—
805C2×C4×C71—42no—
806C2×C4×C71—81no—
807C2×C4×C71C22×D411yescharacteristic
808C2×C4×C71C22×D411yescharacteristic
809C2×C4×C71C22×D411yescharacteristic
810C2×C4×C71C22×D411yescharacteristic
811C2×C4×C71C22×D411yescharacteristic
812C2×C4×C71C22×D411yescharacteristic
813C2×C4×C71C22×D411yescharacteristic
814C2×C4×C71C22×D411yescharacteristic
815C2×C4×C71C22×D411yescharacteristic
816C2×C4×C71C2×#4112yes—
817C2×C4×C71H(5,𝔽2)12yes—
818C2×C4×C71C2511yescharacteristic
819C22⋊D71—42no—
820C22⋊D71—42no—
821C22⋊D71—42no—
822C22⋊D71—81no—
823C22⋊D71—81no—
824C2×Dic71—21no—
825C2×Dic71—21no—
826C2×Dic71—21no—
827C2×Dic71—21no—
828C2×Dic71—21no—
829C2×Dic71—21no—
830C2×Dic71—21no—
831C2×Dic71—42no—
832C2×Dic71—42no—
833C2×Dic71—81no—
834C2×Dic71—81no—
835D284—21no—
836D284—21no—
837C4×D71—42no—
838C4×D71—42no—
839C4×D71—81no—
840Dic142—21no—
841Dic142—21no—
842Dic142—42no—
843Dic142—81no—
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—22no—
863C22×C71—21no—
864C22×C71—21no—
865C22×C71—21no—
866C22×C71—44no—
867C22×C71—41no—
868C22×C71—41no—
869C22×C71—41no—
870C22×C71—41no—
871C22×C71—41no—
872C22×C71—41no—
873C22×C71—41no—
874C22×C71—41no—
875C22×C71—82no—
876C22×C71—84no—
877C22×C71—84no—
878C22×C71#54612yes—
879C22×C71#57512yes—
880C22×C71C23×D411yescharacteristic
881C2×D71—41no—
882C2×D71—41no—
883C2×D71—41no—
884C4×C71—21no—
885C4×C71—21no—
886C4×C71—21no—
887C4×C71—21no—
888C4×C71—21no—
889C4×C71—21no—
890C4×C71—22no—
891C4×C71—21no—
892C4×C71—21no—
893C4×C71—41no—
894C4×C71—41no—
895C4×C71—41no—
896C4×C71—41no—
897C4×C71#54612yes—
898C4×C71C22×#4111yescharacteristic
899C4×C71C2×H(5,𝔽2)11yescharacteristic
900Dic71—41no—
901Dic71—41no—
902Dic71—41no—
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—42no—
914C2×C71—81no—
915C2×C71—81no—
916C2×C71C2×#54611yescharacteristic
917C2×C71C2×#57511yescharacteristic
918C2×C71#358411yescharacteristic
919D71—81no—
920#3475—711no—
921D4×#41D7111yescharacteristic, complemented
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×#41C2×D7111yescharacteristic
953C22×#41C2×D7111yescharacteristic
954C2×#135—711no—
955C2×#135—711no—
956C2×#135—711no—
957C22×M16—711no—
958C23×C8—711no—
959#556—711no—
960#555—711no—
961#554—711no—
962#553—711no—
963#553—711no—
964#552—711no—
965#552—711no—
966#552—1421no—
967#551—1421no—
968#551—1421no—
969#550C2×D7111yescharacteristic
970D4×Q8C2×D7111yescharacteristic
971#548C2×D7111yescharacteristic
972#548C2×D7111yescharacteristic
973#547—21no—
974#547—711no—
975#547C2×D7111yescharacteristic
976#546—21no—
977#546—21no—
978#546—1421no—
979#546C2×D7111yescharacteristic
980#546C2×D7111yescharacteristic
981D42—21no—
982D42C2×D7111yescharacteristic
983#533—711no—
984#532—21no—
985#532C2×D7111yescharacteristic
986#529—1421no—
987#529—1421no—
988#529—1421no—
989#525—21no—
990#525—21no—
991#525—711no—
992#525—711no—
993#525C2×D7111yescharacteristic
994#525C2×D7111yescharacteristic
995C4×#41—711no—
996C4×#41—1421no—
997C4×#41C2×D7111yescharacteristic
998C2×C4×D4—21no—
999C2×C4×D4C2×D7111yescharacteristic
1000C2×#117—711no—
1001C2×#117—711no—
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—21no—
1125C2×#41—21no—
1126C2×#41—21no—
1127C2×#41—24no—
1128C2×#41—24no—
1129C2×#41—42no—
1130C2×#41—42no—
1131C2×#41—711no—
1132C2×#41—1421no—
1133C2×#41C22×D7111yescharacteristic
1134C2×#41C22×D7111yescharacteristic
1135C2×#41C22×D7111yescharacteristic
1136C2×#41C22×D7111yescharacteristic
1137C2×#41C22×D7111yescharacteristic
1138C2×#41C22×D7111yescharacteristic
1139C2×#41C22×D7111yescharacteristic
1140C22×Q8C22×D7111yescharacteristic
1141C22×Q8C22×D7111yescharacteristic
1142C22×D4—21no—
1143C22×D4—21no—
1144C22×D4—21no—
1145C22×D4C22⋊D7111yescharacteristic
1146C22×D4C22×D7111yescharacteristic
1147C22×D4C22×D7111yescharacteristic
1148C23×C4—21no—
1149C23×C4—21no—
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—21no—
1182C4⋊Q8—711no—
1183C4⋊Q8—711no—
1184C4⋊Q8C22×D7111yescharacteristic
1185#127—21no—
1186#127C22×D7111yescharacteristic
1187#126—1421no—
1188#126—1421no—
1189#126—1421no—
1190#126—1421no—
1191#126—1421no—
1192#126—1421no—
1193#125—711no—
1194#125—711no—
1195#125—1421no—
1196#125—1421no—
1197#125—1421no—
1198#124—21no—
1199#124—21no—
1200#124—1421no—
1201#124—1421no—
1202#124—1421no—
1203#124C22×D7111yescharacteristic
1204#124C22×D7111yescharacteristic
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—21no—
1210#123—21no—
1211#123—1421no—
1212#123—1421no—
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—711no—
1224C22⋊Q8—711no—
1225C22⋊Q8—711no—
1226C22⋊Q8—711no—
1227C22⋊Q8—1421no—
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—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121—21no—
1245#121—21no—
1246#121—711no—
1247#121—711no—
1248#121—711no—
1249#121—711no—
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—21no—
1260#120—21no—
1261#120—21no—
1262#120—21no—
1263#120—1421no—
1264#120—1421no—
1265C4×Q8—711no—
1266C4×Q8—711no—
1267C4×Q8—1421no—
1268C4×Q8—1421no—
1269C4×Q8—1421no—
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—21no—
1282C4×D4—21no—
1283C4×D4—21no—
1284C4×D4—711no—
1285C4×D4—711no—
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—711no—
1307#117—711no—
1308#117—711no—
1309#117—711no—
1310#117—711no—
1311#117—711no—
1312#117—711no—
1313#117—1421no—
1314#117—1421no—
1315#117—1421no—
1316#117—1421no—
1317#117—1421no—
1318#117—1421no—
1319#117—1421no—
1320#117—1421no—
1321#117C22×D7111yescharacteristic
1322C2×C4⋊C4—21no—
1323C2×C4⋊C4—711no—
1324C2×C4⋊C4—711no—
1325C2×C4⋊C4—711no—
1326C2×C4⋊C4—711no—
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—1421no—
1336C2×C42—1421no—
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—21no—
1408C24—21no—
1409C24C2×C22⋊D7111yescharacteristic
1410C24C2×C22⋊D7111yescharacteristic
1411#41—22no—
1412#41—22no—
1413#41—22no—
1414#41—22no—
1415#41—22no—
1416#41—22no—
1417#41—22no—
1418#41—22no—
1419#41—22no—
1420#41—44no—
1421#41—44no—
1422#41—41no—
1423#41—41no—
1424#41—41no—
1425#41—41no—
1426#41—44no—
1427#41—44no—
1428#41—2844no—
1429#41—1422no—
1430#41—1422no—
1431#41#1176586414yescomplemented
1432C2×Q8—21no—
1433C2×Q8—21no—
1434C2×Q8—22no—
1435C2×Q8—22no—
1436C2×Q8—41no—
1437C2×Q8—41no—
1438C2×Q8—711no—
1439C2×Q8—1421no—
1440C2×Q8—1421no—
1441C2×Q8C23×D7111yescharacteristic
1442C2×Q8C23×D7111yescharacteristic
1443C2×Q8C23×D7111yescharacteristic
1444C2×D4—21no—
1445C2×D4—22no—
1446C2×D4—22no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—41no—
1462C2×D4—41no—
1463C2×D4—42no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—711no—
1468C2×D4—1421no—
1469C2×D4—1421no—
1470C2×D4—1421no—
1471C2×D4—1421no—
1472C2×D4—1421no—
1473C2×D4C2×C22⋊D7111yescharacteristic
1474C2×D4C2×C22⋊D7111yescharacteristic
1475C2×D4C2×C22⋊D7111yescharacteristic
1476C2×D4C2×C22⋊D7111yescharacteristic
1477C2×D4C23×D7111yescharacteristic
1478C2×D4C23×D7111yescharacteristic
1479C2×D4C23×D7111yescharacteristic
1480C22×C4—21no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—44no—
1496C22×C4—44no—
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—711no—
1558C4⋊C4—711no—
1559C4⋊C4—711no—
1560C4⋊C4—711no—
1561C4⋊C4—711no—
1562C4⋊C4—711no—
1563C4⋊C4—1421no—
1564C4⋊C4—1421no—
1565C4⋊C4—1421no—
1566C4⋊C4—1421no—
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⋊C4—1421no—
1576C4⋊C4—1421no—
1577C4⋊C4—1421no—
1578C4⋊C4—1421no—
1579C4⋊C4C2×C22⋊D7111yescharacteristic
1580C4⋊C4C2×C22⋊D7111yescharacteristic
1581C4⋊C4C2×C22⋊D7111yescharacteristic
1582C4⋊C4C2×C22⋊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—1421no—
1601C22⋊C4—1421no—
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—1421no—
1629C42—1421no—
1630C42—1421no—
1631C42—1421no—
1632C42—1421no—
1633C42—1421no—
1634C42—1421no—
1635C42—1421no—
1636C42—1421no—
1637C42C2×C22⋊D7111yescharacteristic
1638C42C2×C22⋊D7111yescharacteristic
1639C42C23×D7111yescharacteristic
1640C42C23×D7111yescharacteristic
1641C23—21no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—21no—
1646C23—21no—
1647C23—41no—
1648C23—41no—
1649C23—41no—
1650C23—42no—
1651C23—42no—
1652C23—42no—
1653C23—42no—
1654C23—81no—
1655C23—81no—
1656C23—1421no—
1657C23C22×C22⋊D7111yescharacteristic
1658C23C22×C22⋊D7111yescharacteristic
1659C23C22×C22⋊D7111yescharacteristic
1660C23C22×C22⋊D7111yescharacteristic
1661C23C22×C22⋊D7111yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—42no—
1668Q8—42no—
1669Q8—2842no—
1670Q8—5681no—
1671Q8—1421no—
1672Q8—1421no—
1673Q8C2×#1176586412yes—
1674D4—24no—
1675D4—22no—
1676D4—22no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—41no—
1683D4—41no—
1684D4—42no—
1685D4—42no—
1686D4—42no—
1687D4—42no—
1688D4—42no—
1689D4—42no—
1690D4—42no—
1691D4—42no—
1692D4—42no—
1693D4—42no—
1694D4—42no—
1695D4—81no—
1696D4—81no—
1697D4—81no—
1698D4—2842no—
1699D4—2842no—
1700D4—2842no—
1701D4—5681no—
1702D4—5681no—
1703D4—1421no—
1704D4—1421no—
1705D4C2×#1176586412yes—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—41no—
1727C2×C4—41no—
1728C2×C4—42no—
1729C2×C4—42no—
1730C2×C4—42no—
1731C2×C4—42no—
1732C2×C4—42no—
1733C2×C4—42no—
1734C2×C4—42no—
1735C2×C4—42no—
1736C2×C4—42no—
1737C2×C4—81no—
1738C2×C4—2842no—
1739C2×C4—2842no—
1740C2×C4—2842no—
1741C2×C4—2842no—
1742C2×C4—5681no—
1743C2×C4—5681no—
1744C2×C4—5681no—
1745C2×C4—1421no—
1746C2×C4—1421no—
1747C2×C4—1421no—
1748C2×C4—1421no—
1749C2×C4—1421no—
1750C2×C4—1421no—
1751C2×C4—1421no—
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×C4C2×#1176586412yes—
1762C2×C4#1455617312yes—
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—22no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—44no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—82no—
1796C22—84no—
1797C22—84no—
1798C22—2841no—
1799C22—2841no—
1800C22—2841no—
1801C22#1798664312yes—
1802C22#1798679712yes—
1803C22C23×C22⋊D7111yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—22no—
1809C4—21no—
1810C4—21no—
1811C4—21no—
1812C4—21no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—2841no—
1818C4—2841no—
1819C4—2841no—
1820C4—2841no—
1821C4—2841no—
1822C4—2841no—
1823C4—2841no—
1824C4#1798664312yes—
1825C4C22×#1176586411yescharacteristic
1826C4C2×#1455617311yescharacteristic
1827C2—22no—
1828C2—22no—
1829C2—41no—
1830C2—41no—
1831C2—41no—
1832C2—42no—
1833C2—81no—
1834C2—81no—
1835C2—5681no—
1836C2C2×#1798664311yescharacteristic
1837C2C2×#1798679711yescharacteristic
1838C2#2260311111yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingD4×#41×C71C2
socleC22×C71C23×D4
hypercenterD4×#41D71
hypocenterC71#61141
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. #22601898C2semidirect
2. #22600526C2semidirect
3. #22600511C2semidirect
4. #22600496C2semidirect
5. #22600481C2semidirect
6. #22600466C2semidirect
7. #22600451C2semidirect
8. #22600436C2semidirect
9. #22600421C2semidirect
10. #22600406C2semidirect
11. #22600391C2semidirect
12. #22600376C2semidirect
13. #22600361C2semidirect
14. #22600346C2semidirect
15. #22600331C2semidirect
16. #22600316C2semidirect
17. #22600301C2semidirect
18. #22598685C2semidirect
19. #22598249C2semidirect
20. #22598249C2semidirect
21. #22598128C2semidirect
22. #22597946C2semidirect
23. #22597918C2semidirect
24. #22597789C2semidirect
25. #22597558C2semidirect
26. #22597558C2semidirect
27. #22597138C2semidirect
28. C2×#17986071C2semidirect
29. #22596859C2semidirect
30. C2×#17985995C2semidirect
31. D4×#41×C71C2semidirect
33. C2×#14556148C22semidirect
34. C2×#14556148C22semidirect
35. C22×#11765849C22semidirect
36. C23×C71⋊C8C22semidirect
37. #17986719C22semidirect
38. #17986714C22semidirect
39. #17986706C22semidirect
41. #17986695C22semidirect
43. #17986689C22semidirect
47. #17986653C22semidirect
49. #17986556C22semidirect
53. #17986510C22semidirect
54. #17986510C22semidirect
55. C4×#11765865C22semidirect
57. C2×#14556087C22semidirect
58. C2×#14556087C22semidirect
59. #17986367C22semidirect
60. #17986367C22semidirect
61. #17986363C22semidirect
62. #17986363C22semidirect
63. #17986358C22semidirect
64. #17986358C22semidirect
65. #17986358C22semidirect
66. #17986358C22semidirect
67. #17986337C22semidirect
68. #17986337C22semidirect
69. #17986337C22semidirect
70. #17986337C22semidirect
71. #17986332C22semidirect
72. #17986332C22semidirect
73. #17986327C22semidirect
74. #17986327C22semidirect
75. #17986320C22semidirect
76. #17986320C22semidirect
77. #17986320C22semidirect
78. #17986320C22semidirect
79. #17986315C22semidirect
80. #17986315C22semidirect
81. #17986310C22semidirect
82. #17986310C22semidirect
83. #17986306C22semidirect
84. #17986306C22semidirect
85. #17986299C22semidirect
86. #17986299C22semidirect
87. #17986294C22semidirect
88. #17986289C22semidirect
89. #17986284C22semidirect
90. #17986279C22semidirect
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. #17986218C22semidirect
108. #17986218C22semidirect
109. #17986211C22semidirect
110. #17986211C22semidirect
111. #17986206C22semidirect
112. #17986201C22semidirect
113. #17986196C22semidirect
114. #17986191C22semidirect
115. #17986161C22semidirect
116. #17986161C22semidirect
117. #17986161C22semidirect
118. #17986161C22semidirect
119. #17986155C22semidirect
120. #17986155C22semidirect
121. #17986150C22semidirect
122. #17986150C22semidirect
123. #17986144C22semidirect
124. #17986144C22semidirect
125. #17986144C22semidirect
126. #17986144C22semidirect
127. #17986138C22semidirect
128. #17986138C22semidirect
129. #17986133C22semidirect
130. #17986133C22semidirect
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. #17986008C22semidirect
152. #17986008C22semidirect
153. #17986004C22semidirect
154. #17986004C22semidirect
155. #17986000C22semidirect
156. #17986000C22semidirect
157. #17986000C22semidirect
158. #17986000C22semidirect
162. #17985995C22semidirect
163. #17985995C22semidirect
164. #17985995C22semidirect
165. #17985995C22semidirect
166. #17985995C22semidirect
167. #17985995C22semidirect
168. #17985995C22semidirect
169. #17985995C22semidirect
170. #17985995C22semidirect
171. #17985995C22semidirect
172. #17985993C22semidirect
173. C2×#14556052C22semidirect
174. C2×#14556052C22semidirect
175. C2×#14556049C22semidirect
176. C2×#14556049C22semidirect
177. C2×C22⋊(C71⋊C8)C22semidirect
178. C2×C22⋊(C71⋊C8)C22semidirect
179. C2×#14556039C22semidirect
607. #41×C71#41semidirect
921. D4×#41D71semidirect
951. C71#61141semidirect
1431. #41#11765864semidirect

Maximal subgroups

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

subgroupindex
#226018982
#226005262
#226005112
#226004962
#226004812
#226004662
#226004512
#226004362
#226004212
#226004062
#226003912
#226003762
#226003612
#226003462
#226003312
#226003162
#226003012
#225986852
#225982492
#225981282
#225979462
#225979182
#225977892
#225975582
#225971382
C2×#179860712
#225968592
C2×#179859952
D4×#41×C712
#6114171