Finite Group Databasebeta

← #32874455

Subgroups — #32874455

Order 18176.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22601897C211yesmaximal, characteristic, complemented
2#546×D71C211yesmaximal, characteristic, complemented
3#22600554C211yesmaximal, characteristic, complemented
4#22600552C211yesmaximal, characteristic, complemented
5#22600547C211yesmaximal, characteristic, complemented
6#22600545C211yesmaximal, characteristic, complemented
7#22600490C211yesmaximal, characteristic, complemented
8#22600420C211yesmaximal, characteristic, complemented
9#22600418C211yesmaximal, characteristic, complemented
10#22600378C211yesmaximal, characteristic, complemented
11#22600376C211yesmaximal, characteristic, complemented
12#22600308C211yesmaximal, characteristic, complemented
13#22600306C211yesmaximal, characteristic, complemented
14#22600185C211yesmaximal, characteristic, complemented
15#22600183C211yesmaximal, characteristic, complemented
16#22600178C211yesmaximal, characteristic, complemented
17#22600176C211yesmaximal, characteristic, complemented
18#22598725C211yesmaximal, characteristic, complemented
19#22598287C211yesmaximal, characteristic, complemented
20#22598279C211yesmaximal, characteristic, complemented
21#22598132C211yesmaximal, characteristic, complemented
22#22597965C211yesmaximal, characteristic, complemented
23#22597956C211yesmaximal, characteristic, complemented
24#22597829C211yesmaximal, characteristic, complemented
25#22597578C211yesmaximal, characteristic, complemented
26#22597564C211yesmaximal, characteristic, complemented
27#22597151C211yesmaximal, characteristic, complemented
28#22597073C211yesmaximal, characteristic, complemented
29#22596855C211yesmaximal, characteristic, complemented
30#418×D71C211yesmaximal, characteristic, complemented
31C71×#3319C211yesmaximal, characteristic, complemented
32C2×#41×D71C2211yescharacteristic
33C22×D4×D71C2211yescharacteristic
34C2×#14556157C2211yescharacteristic, complemented
35C2×#14556152C2211yescharacteristic
36C2×#14556152C2211yescharacteristic
37C22×#11765848C2211yescharacteristic, complemented
38C2×M16×D71C2211yescharacteristic
39#17986719C2211yescharacteristic, complemented
40#17986710C2211yescharacteristic, complemented
41#17986696C2211yescharacteristic, complemented
42#17986696C2211yescharacteristic, complemented
43#17986688—21no—
44#17986688C2211yescharacteristic, complemented
45#17986688C2211yescharacteristic, complemented
46#17986679—21no—
47#17986679—21no—
48#17986654C2211yescharacteristic, complemented
49#17986646—21no—
50#17986646C2211yescharacteristic
51#17986645C2211yescharacteristic
52#17986644C2211yescharacteristic
53#17986643C2211yescharacteristic
54#17986642C2211yescharacteristic
55#17986641—21no—
56#17986640C2211yescharacteristic
57#17986639—21no—
58#17986638—21no—
59#17986637C2211yescharacteristic
60#17986636—21no—
61#17986554C2211yescharacteristic, complemented
62#17986530—21no—
63#17986528—21no—
64#17986528—21no—
65#124×D71C2211yescharacteristic
66#17986509C2211yescharacteristic
67#17986509C2211yescharacteristic, complemented
68#123×D71—21no—
69C22⋊Q8×D71C2211yescharacteristic
70#121×D71—21no—
71#121×D71C2211yescharacteristic
72#120×D71—21no—
73#17986467—21no—
74C4×#11765864C2211yescharacteristic, complemented
75C4×D4×D71C2211yescharacteristic
76C4×D4×D71C2211yescharacteristic
77#117×D71C2211yescharacteristic
78#117×D71C2211yescharacteristic, complemented
79C2×C22⋊C4×D71—21no—
80#17986361C2211yescharacteristic, complemented
81#17986359C2211yescharacteristic, complemented
82#17986358C2211yescharacteristic, complemented
83#17986355C2211yescharacteristic, complemented
84#17986355C2211yescharacteristic, complemented
85#17986352C2211yescharacteristic, complemented
86#17986352C2211yescharacteristic, complemented
87#17986341C2211yescharacteristic, complemented
88#17986340C2211yescharacteristic, complemented
89#17986337C2211yescharacteristic, complemented
90#17986336C2211yescharacteristic, complemented
91#17986333C2211yescharacteristic, complemented
92#17986331C2211yescharacteristic, complemented
93#17986328C2211yescharacteristic, complemented
94#17986324C2211yescharacteristic, complemented
95#17986323C2211yescharacteristic, complemented
96#17986320C2211yescharacteristic, complemented
97#17986319C2211yescharacteristic, complemented
98#17986316C2211yescharacteristic, complemented
99#17986314C2211yescharacteristic, complemented
100#17986311C2211yescharacteristic, complemented
101#17986302C2211yescharacteristic, complemented
102#17986302C2211yescharacteristic, complemented
103#17986301C2211yescharacteristic, complemented
104#17986301C2211yescharacteristic, complemented
105#17986290C2211yescharacteristic, complemented
106#17986289C2211yescharacteristic, complemented
107#17986276C2211yescharacteristic, complemented
108#17986257C2211yescharacteristic, complemented
109#17986255C2211yescharacteristic, complemented
110#17986251C2211yescharacteristic, complemented
111#17986249C2211yescharacteristic, complemented
112#17986246C2211yescharacteristic, complemented
113#17986244C2211yescharacteristic, complemented
114#17986243C2211yescharacteristic, complemented
115#17986241C2211yescharacteristic, complemented
116#17986239C2211yescharacteristic, complemented
117#17986233C2211yescharacteristic, complemented
118#17986228C2211yescharacteristic, complemented
119#17986227C2211yescharacteristic, complemented
120#17986226C2211yescharacteristic, complemented
121#17986225C2211yescharacteristic, complemented
122#17986224C2211yescharacteristic, complemented
123#17986222C2211yescharacteristic, complemented
124#17986220C2211yescharacteristic, complemented
125#17986218C2211yescharacteristic, complemented
126#17986216C2211yescharacteristic, complemented
127#17986214C2211yescharacteristic, complemented
128#17986212C2211yescharacteristic, complemented
129#17986164C2211yescharacteristic, complemented
130#17986163C2211yescharacteristic, complemented
131#17986162C2211yescharacteristic, complemented
132#17986161C2211yescharacteristic, complemented
133#17986152C2211yescharacteristic, complemented
134#17986151C2211yescharacteristic, complemented
135#17986151C2211yescharacteristic, complemented
136#17986150C2211yescharacteristic, complemented
137#17986143C2211yescharacteristic, complemented
138#17986142C2211yescharacteristic, complemented
139#17986141C2211yescharacteristic, complemented
140#17986132C2211yescharacteristic, complemented
141#17986131C2211yescharacteristic, complemented
142#17986131C2211yescharacteristic, complemented
143#17986109C2211yescharacteristic, complemented
144#17986101C2211yescharacteristic, complemented
145#17986099C2211yescharacteristic, complemented
146#17986090C2211yescharacteristic, complemented
147#17986086C2211yescharacteristic, complemented
148D8×Dic71C2211yescharacteristic, complemented
149#17986079C2211yescharacteristic, complemented
150#17986075C2211yescharacteristic, complemented
151#17986074C2211yescharacteristic, complemented
152#17986072C2211yescharacteristic, complemented
153#17986071C2211yescharacteristic, complemented
154#17986069C2211yescharacteristic, complemented
155C8×C22⋊D71C2211yescharacteristic, complemented
156(C22⋊D71)⋊C8C2211yescharacteristic, complemented
157#17986040C2211yescharacteristic, complemented
158#17986040C2211yescharacteristic, complemented
159#17986038C2211yescharacteristic, complemented
160#17986021C2211yescharacteristic, complemented
161#17986006C2211yescharacteristic, complemented
162#17986006C2211yescharacteristic, complemented
163#17986006C2211yescharacteristic, complemented
164#17986005C2211yescharacteristic, complemented
165#17986004C2211yescharacteristic, complemented
166#17986003C2211yescharacteristic, complemented
167#17986002C2211yescharacteristic
168#17986002C2211yescharacteristic
169#17986002C2211yescharacteristic
170#17986002C2211yescharacteristic
171#17986002C2211yescharacteristic
172#17986002C2211yescharacteristic
173#17985999C2211yescharacteristic, complemented
174#17985999C2211yescharacteristic, complemented
175#17985997C2211yescharacteristic, complemented
176#17985997C2211yescharacteristic, complemented
177#17985997C2211yescharacteristic, complemented
178#17985996C2211yescharacteristic, complemented
179#17985995C2211yescharacteristic, complemented
180#17985993C2211yescharacteristic, complemented
181#102×D71C2211yescharacteristic, complemented
182#102×D71C2211yescharacteristic, complemented
183#102×D71C2211yescharacteristic, complemented
184#102×D71C2211yescharacteristic, complemented
185#17985961C2211yescharacteristic
186#17985961C2211yescharacteristic, complemented
187#17985951C2211yescharacteristic, complemented
188#555×C71C2211yescharacteristic, complemented
189#546×C71C2211yescharacteristic
190#489×C71C2211yescharacteristic, complemented
191#485×C71C2211yescharacteristic, complemented
192#482×C71C2211yescharacteristic, complemented
193#474×C71C2211yescharacteristic, complemented
194#468×C71C2211yescharacteristic, complemented
195#466×C71C2211yescharacteristic, complemented
196#463×C71C2211yescharacteristic, complemented
197#449×C71C2211yescharacteristic, complemented
198#447×C71C2211yescharacteristic, complemented
199#442×C71C2211yescharacteristic, complemented
200#435×C71C2211yescharacteristic, complemented
201#418×C71C2211yescharacteristic, complemented
202#416×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204C2×#11765866C2311yescharacteristic
205C2×#11765865—21no—
206C2×#11765865—21no—
207C2×#11765865C2311yescharacteristic
208C2×#11765864—21no—
209C2×#11765864C2311yescharacteristic
210C2×#11765864C2311yescharacteristic
211#41×D71—24no—
212#41×D71—42no—
213C2×Q8×D71C2311yescharacteristic
214C22×D284C2311yescharacteristic
215C22×C22⋊D71—21no—
216C2×D4×D71—24no—
217C2×D4×D71—21no—
218C2×D4×D71—21no—
219C2×D4×D71—21no—
220C2×D4×D71—21no—
221C2×D4×D71—42no—
222C2×D4×D71D411yescharacteristic
223C2×D4×D71C2311yescharacteristic
224C2×D4×D71C2311yescharacteristic
225C2×D4×D71C2311yescharacteristic
226C2×D4×D71C2311yescharacteristic
227C22×C4×D71—21no—
228C22×C4×D71—21no—
229C22×C4×D71C2311yescharacteristic
230C22×C4×D71C2311yescharacteristic
231#14556157—42no—
232#14556152—24no—
233#14556152—42no—
234C2×Dic284C2311yescharacteristic, complemented
235C2×#11765855C2311yescharacteristic, complemented
236C2×#11765854C2311yescharacteristic
237C2×#11765854C2311yescharacteristic
238C2×#11765853C2311yescharacteristic
239C2×#11765853C2311yescharacteristic
240C2×#11765853C2311yescharacteristic, complemented
241C2×#11765850C2311yescharacteristic
242C2×#11765850C2311yescharacteristic
243C2×#11765849C2311yescharacteristic
244C2×#11765848—42no—
245C2×#11765848C2311yescharacteristic
246C2×#11765848C2311yescharacteristic
247C2×#11765848C2311yescharacteristic
248C2×#11765848C2311yescharacteristic
249C2×#11765848C2311yescharacteristic, complemented
250C2×#11765848C2311yescharacteristic, complemented
251M16×D71—42no—
252C22×C71⋊C8C2311yescharacteristic, complemented
253C2×C8×D71C2311yescharacteristic
254C2×C8×D71C2311yescharacteristic
255#14556128C2311yescharacteristic, complemented
256#14556121—21no—
257#14556121—21no—
258#14556121—21no—
259#14556121—21no—
260#14556121—21no—
261#14556121—21no—
262#14556120—21no—
263#14556120—21no—
264#14556119—21no—
265#14556119C2311yescharacteristic, complemented
266#14556119C2311yescharacteristic, complemented
267#14556117C2311yescharacteristic
268#14556116C2311yescharacteristic
269#14556115—21no—
270#14556115C2311yescharacteristic
271#14556114—21no—
272#14556114—21no—
273#14556113—21no—
274#14556113—21no—
275#14556112—21no—
276#14556111—21no—
277#14556110—21no—
278#14556110—21no—
279#14556110—21no—
280#14556110—21no—
281#14556110—21no—
282#14556110—21no—
283#14556110—21no—
284#14556110—21no—
285#14556109—21no—
286#14556109—21no—
287#14556109—21no—
288#14556108—21no—
289#14556108C2311yescharacteristic
290#14556108C2311yescharacteristic
291#14556108C2311yescharacteristic, complemented
292#14556107—21no—
293#14556107C2311yescharacteristic
294#14556107C2311yescharacteristic
295#14556107C2311yescharacteristic, complemented
296#14556106—21no—
297#14556105—21no—
298#14556104—21no—
299#14556104—21no—
300#14556104—21no—
301#14556104C2311yescharacteristic
302#14556103—21no—
303#14556103C2311yescharacteristic
304#14556102—21no—
305#14556102C2311yescharacteristic
306#14556101—21no—
307#14556101—21no—
308#14556101—21no—
309#14556100—21no—
310#14556100—21no—
311#14556100—21no—
312#14556099—21no—
313#14556099—21no—
314#14556099—21no—
315#14556099C2311yescharacteristic
316#14556099C2311yescharacteristic
317#14556099C2311yescharacteristic, complemented
318#14556098—21no—
319#14556098—21no—
320#14556098—21no—
321#14556097—21no—
322#14556096—21no—
323#14556096—21no—
324#14556096—21no—
325#14556096—21no—
326#14556096—21no—
327Q8×Dic71—21no—
328C4×Dic142C2311yescharacteristic, complemented
329#14556093—21no—
330#14556093—21no—
331#14556093C2311yescharacteristic, complemented
332C4×D284C2311yescharacteristic
333C4×D284C2311yescharacteristic
334D4×Dic71—21no—
335D4×Dic71—21no—
336D4×Dic71D411yescharacteristic
337D4×Dic71C2311yescharacteristic
338D4×Dic71C2311yescharacteristic, complemented
339#14556090—21no—
340#14556090D411yescharacteristic
341#14556090C2311yescharacteristic
342C4×C22⋊D71—21no—
343C4×C22⋊D71—21no—
344C4×C22⋊D71C2311yescharacteristic
345C4×C22⋊D71C2311yescharacteristic
346(C22⋊D71)⋊C4—21no—
347(C22⋊D71)⋊C4—21no—
348(C22⋊D71)⋊C4—21no—
349(C22⋊D71)⋊C4—21no—
350(C22⋊D71)⋊C4—21no—
351(C22⋊D71)⋊C4—21no—
352(C22⋊D71)⋊C4D411yescharacteristic
353(C22⋊D71)⋊C4D411yescharacteristic
354#14556087C2311yescharacteristic
355#14556087C2311yescharacteristic, complemented
356#14556086C2311yescharacteristic
357#14556086C2311yescharacteristic
358#14556086C2311yescharacteristic
359#14556085—21no—
360#14556085—21no—
361#14556085—21no—
362#14556085—21no—
363#14556084—21no—
364#14556084—21no—
365#14556084—21no—
366C4⋊C4×D71—21no—
367C4⋊C4×D71D411yescharacteristic
368C4⋊C4×D71C2311yescharacteristic
369C4⋊C4×D71C2311yescharacteristic
370C4⋊C4×D71C2311yescharacteristic
371C4⋊C4×D71C2311yescharacteristic, complemented
372C4⋊C4×D71C2311yescharacteristic, complemented
373C2×C22⋊Dic71—21no—
374C2×(C2×D71)⋊C4—21no—
375C2×(C2×D71)⋊C4—21no—
376C22⋊C4×D71—21no—
377C22⋊C4×D71—21no—
378C22⋊C4×D71—21no—
379C22⋊C4×D71—21no—
380C22⋊C4×D71—21no—
381C22⋊C4×D71—21no—
382C22⋊C4×D71—21no—
383C22⋊C4×D71—21no—
384C22⋊C4×D71—21no—
385C22⋊C4×D71—21no—
386C22⋊C4×D71—21no—
387C22⋊C4×D71D411yescharacteristic
388C22⋊C4×D71D411yescharacteristic
389C2×C4×Dic71—21no—
390C42×D71—21no—
391C42×D71—21no—
392C42×D71C2311yescharacteristic
393#14556062C2311yescharacteristic, complemented
394#14556061C2311yescharacteristic, complemented
395#14556061C2311yescharacteristic, complemented
396#14556061C2311yescharacteristic, complemented
397#14556060C2311yescharacteristic, complemented
398#14556060C2311yescharacteristic, complemented
399#14556059C2311yescharacteristic, complemented
400#14556059C2311yescharacteristic, complemented
401#14556059C2311yescharacteristic, complemented
402C4⋊(C71⋊C8)C2311yescharacteristic, complemented
403Dic71⋊C8C2311yescharacteristic, complemented
404Dic71⋊C8C2311yescharacteristic, complemented
405#14556053C2311yescharacteristic, complemented
406#14556053C2311yescharacteristic, complemented
407#14556053C2311yescharacteristic, complemented
408#14556053C2311yescharacteristic, complemented
409#14556052C2311yescharacteristic, complemented
410#14556052C2311yescharacteristic, complemented
411#14556052C2311yescharacteristic, complemented
412#14556051C2311yescharacteristic, complemented
413#14556051C2311yescharacteristic, complemented
414#14556051C2311yescharacteristic, complemented
415#14556051C2311yescharacteristic, complemented
416#14556050C2311yescharacteristic
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic
420#14556050C2311yescharacteristic
421#14556050C2311yescharacteristic
422#14556049C2311yescharacteristic
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic
425#14556049C2311yescharacteristic
426#14556049C2311yescharacteristic
427#14556049C2311yescharacteristic
428#14556049C2311yescharacteristic, complemented
429#14556048C2311yescharacteristic
430#14556048C2311yescharacteristic
431#14556048C2311yescharacteristic
432#14556048C2311yescharacteristic
433#14556048C2311yescharacteristic
434#14556048C2311yescharacteristic
435C22⋊(C71⋊C8)C2311yescharacteristic
436C22⋊(C71⋊C8)C2311yescharacteristic, complemented
437(C2×D71)⋊C8C2311yescharacteristic
438(C2×D71)⋊C8C2311yescharacteristic
439(C2×D71)⋊C8C2311yescharacteristic, complemented
440(C2×D71)⋊C8C2311yescharacteristic, complemented
441#14556039C2311yescharacteristic, complemented
442C8×Dic71C2311yescharacteristic, complemented
443C8×Dic71C2311yescharacteristic, complemented
444C2×#41×C71C2311yescharacteristic
445C22×D4×C71C2311yescharacteristic
446C2×SD16×C71C2311yescharacteristic, complemented
447C2×D8×C71C2311yescharacteristic
448C2×D8×C71C2311yescharacteristic
449C2×M16×C71C2311yescharacteristic
450C22×C8×C71C2311yescharacteristic, complemented
451C4⋊Q8×C71C2311yescharacteristic, complemented
452#124×C71—21no—
453#124×C71—21no—
454#124×C71C2311yescharacteristic
455#123×C71—21no—
456C22⋊Q8×C71C2311yescharacteristic
457#121×C71—21no—
458#121×C71—21no—
459#121×C71C2311yescharacteristic
460#121×C71C2311yescharacteristic
461#121×C71C2311yescharacteristic, complemented
462#120×C71—21no—
463C4×D4×C71C2311yescharacteristic
464C4×D4×C71C2311yescharacteristic
465C4×D4×C71C2311yescharacteristic, complemented
466#117×C71—21no—
467#117×C71C2311yescharacteristic
468#117×C71C2311yescharacteristic, complemented
469C2×C22⋊C4×C71—21no—
470#107×C71C2311yescharacteristic, complemented
471#107×C71C2311yescharacteristic, complemented
472#106×C71C2311yescharacteristic, complemented
473C4⋊C8×C71C2311yescharacteristic, complemented
474#103×C71C2311yescharacteristic, complemented
475#103×C71C2311yescharacteristic, complemented
476#103×C71C2311yescharacteristic, complemented
477#102×C71C2311yescharacteristic
478#102×C71C2311yescharacteristic
479#102×C71C2311yescharacteristic
480#102×C71C2311yescharacteristic
481#102×C71C2311yescharacteristic
482#102×C71C2311yescharacteristic
483#102×C71C2311yescharacteristic, complemented
484C22⋊C8×C71C2311yescharacteristic
485C22⋊C8×C71C2311yescharacteristic, complemented
486#97×C71C2311yescharacteristic, complemented
487C23×D71—21no—
488C23×D71—21no—
489C23×D71—21no—
490C23×D71—21no—
491C23×D71—21no—
492C23×D71—44no—
493C23×D71—44no—
494C23×D71—82no—
495C23×D71C2×D411yescharacteristic
496C23×D71C2×D411yescharacteristic
497#11765866—22no—
498#11765866—41no—
499#11765865—22no—
500#11765865—41no—
501#11765865—44no—
502#11765865—44no—
503#11765864—22no—
504#11765864—22no—
505#11765864—22no—
506#11765864—41no—
507#11765864—44no—
508C2×Dic142—21no—
509C2×Dic142—21no—
510C2×Dic142C2411yescharacteristic
511C2×Dic142C2411yescharacteristic
512Q8×D71—22no—
513Q8×D71—22no—
514C2×D284—22no—
515C2×D284—21no—
516C2×D284—21no—
517C2×D284—21no—
518C2×D284—41no—
519C2×D284C2×D411yescharacteristic
520C2×D284C2411yescharacteristic
521C2×D284C2411yescharacteristic
522C2×C22⋊D71—21no—
523C2×C22⋊D71—21no—
524C2×C22⋊D71—21no—
525C2×C22⋊D71—21no—
526C2×C22⋊D71—21no—
527C2×C22⋊D71—21no—
528C2×C22⋊D71—21no—
529C2×C22⋊D71—21no—
530C2×C22⋊D71—21no—
531C2×C22⋊D71—21no—
532C2×C22⋊D71—21no—
533C2×C22⋊D71—44no—
534C2×C22⋊D71C2×D411yescharacteristic
535C2×C22⋊D71C2×D411yescharacteristic
536D4×D71—22no—
537D4×D71—22no—
538D4×D71—22no—
539D4×D71—22no—
540D4×D71—22no—
541D4×D71—41no—
542D4×D71—41no—
543D4×D71—44no—
544D4×D71—44no—
545D4×D71—42no—
546D4×D71—44no—
547D4×D71—82no—
548D4×D71#4114yescomplemented
549C22×Dic71—21no—
550C22×Dic71—21no—
551C22×Dic71—21no—
552C22×Dic71—21no—
553C22×Dic71C2×D411yescharacteristic
554C22×Dic71C2×D411yescharacteristic
555C2×C4×D71—22no—
556C2×C4×D71—22no—
557C2×C4×D71—22no—
558C2×C4×D71—22no—
559C2×C4×D71—21no—
560C2×C4×D71—21no—
561C2×C4×D71—21no—
562C2×C4×D71—21no—
563C2×C4×D71—21no—
564C2×C4×D71—21no—
565C2×C4×D71—21no—
566C2×C4×D71—21no—
567C2×C4×D71—21no—
568C2×C4×D71—21no—
569C2×C4×D71—44no—
570C2×C4×D71—82no—
571C2×C4×D71C2×D411yescharacteristic
572C2×C4×D71C2×D411yescharacteristic
573C2×C4×D71C2×D411yescharacteristic
574C2×C4×D71C2×D411yescharacteristic
575C2×C4×D71C2×D411yescharacteristic
576C2×C4×D71C2×D411yescharacteristic
577C2×C4×D71C2411yescharacteristic
578C2×C4×D71C2411yescharacteristic
579C2×C4×D71C2411yescharacteristic
580Dic284—41no—
581#11765855—41no—
582#11765854—22no—
583#11765854—41no—
584#11765853—22no—
585#11765853—41no—
586#11765853—41no—
587#11765850—22no—
588#11765850—41no—
589#11765849—41no—
590#11765848—22no—
591#11765848—22no—
592#11765848—22no—
593#11765848—22no—
594#11765848—41no—
595#11765848—41no—
596C2×C71⋊C8—41no—
597C2×C71⋊C8C2411yescharacteristic
598C2×C71⋊C8C2411yescharacteristic
599C2×C71⋊C8C2411yescharacteristic
600C2×C71⋊C8C2411yescharacteristic
601C8×D71—41no—
602C8×D71—41no—
603C4⋊Dic71—21no—
604C4⋊Dic71—21no—
605C4⋊Dic71—21no—
606C4⋊Dic71—21no—
607C4⋊Dic71—21no—
608C4⋊Dic71—21no—
609C4⋊Dic71C2×D411yescharacteristic
610C4⋊Dic71C2411yescharacteristic
611C4⋊Dic71C2411yescharacteristic
612C4⋊Dic71C2411yescharacteristic
613C4⋊Dic71C2411yescharacteristic
614Dic71⋊C4—21no—
615Dic71⋊C4—21no—
616Dic71⋊C4—21no—
617Dic71⋊C4—21no—
618Dic71⋊C4—21no—
619Dic71⋊C4—21no—
620Dic71⋊C4—21no—
621Dic71⋊C4—21no—
622Dic71⋊C4—21no—
623Dic71⋊C4—21no—
624Dic71⋊C4—21no—
625Dic71⋊C4—21no—
626Dic71⋊C4—21no—
627Dic71⋊C4C2×D411yescharacteristic
628Dic71⋊C4C2×D411yescharacteristic
629C22⋊Dic71—21no—
630C22⋊Dic71—21no—
631C22⋊Dic71—21no—
632C22⋊Dic71—21no—
633C22⋊Dic71—21no—
634C22⋊Dic71—21no—
635C22⋊Dic71—21no—
636C22⋊Dic71—21no—
637C22⋊Dic71—21no—
638C22⋊Dic71—21no—
639C22⋊Dic71—21no—
640C22⋊Dic71—21no—
641C22⋊Dic71C2×D411yescharacteristic
642C22⋊Dic71C2×D411yescharacteristic
643(C2×D71)⋊C4—21no—
644(C2×D71)⋊C4—21no—
645(C2×D71)⋊C4—21no—
646(C2×D71)⋊C4—21no—
647(C2×D71)⋊C4—21no—
648(C2×D71)⋊C4—21no—
649(C2×D71)⋊C4—21no—
650(C2×D71)⋊C4—21no—
651(C2×D71)⋊C4—21no—
652(C2×D71)⋊C4—21no—
653(C2×D71)⋊C4—21no—
654(C2×D71)⋊C4—21no—
655(C2×D71)⋊C4—21no—
656(C2×D71)⋊C4—21no—
657(C2×D71)⋊C4—21no—
658(C2×D71)⋊C4C2×D411yescharacteristic
659(C2×D71)⋊C4C2×D411yescharacteristic
660(C2×D71)⋊C4C2×D411yescharacteristic
661(C2×D71)⋊C4C2×D411yescharacteristic
662C4×Dic71—21no—
663C4×Dic71—21no—
664C4×Dic71—21no—
665C4×Dic71—21no—
666C4×Dic71—21no—
667C4×Dic71—21no—
668C4×Dic71—21no—
669C4×Dic71C2×D411yescharacteristic
670C4×Dic71C2×D411yescharacteristic
671C4×Dic71C2411yescharacteristic
672C24×C71—21no—
673#41×C71—22no—
674#41×C71—41no—
675C2×Q8×C71—21no—
676C2×Q8×C71C2411yescharacteristic
677C2×D4×C71—22no—
678C2×D4×C71—21no—
679C2×D4×C71—21no—
680C2×D4×C71—21no—
681C2×D4×C71—21no—
682C2×D4×C71—21no—
683C2×D4×C71—41no—
684C2×D4×C71C2×D411yescharacteristic
685C2×D4×C71C2411yescharacteristic
686C2×D4×C71C2411yescharacteristic
687C2×D4×C71C2411yescharacteristic
688C22×C4×C71—21no—
689C22×C4×C71—21no—
690C22×C4×C71—21no—
691C22×C4×C71C2411yescharacteristic
692C22×C4×C71C2411yescharacteristic
693SD16×C71—41no—
694D8×C71—22no—
695D8×C71—41no—
696M16×C71—41no—
697C2×C8×C71—41no—
698C2×C8×C71C2411yescharacteristic
699C2×C8×C71C2411yescharacteristic
700C2×C8×C71C2411yescharacteristic
701C2×C8×C71C2411yescharacteristic
702C4⋊C4×C71—21no—
703C4⋊C4×C71—21no—
704C4⋊C4×C71C2×D411yescharacteristic
705C4⋊C4×C71C2411yescharacteristic
706C4⋊C4×C71C2411yescharacteristic
707C4⋊C4×C71C2411yescharacteristic
708C4⋊C4×C71C2411yescharacteristic
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×C71C2×D411yescharacteristic
720C22⋊C4×C71C2×D411yescharacteristic
721C42×C71—21no—
722C42×C71—21no—
723C42×C71C2411yescharacteristic
724C23×C71—21no—
725C23×C71—21no—
726C23×C71—21no—
727C23×C71—42no—
728C23×C71—42no—
729C23×C71—81no—
730C23×C71C22×D411yescharacteristic
731C23×C71C22×D411yescharacteristic
732C22×D71—21no—
733C22×D71—22no—
734C22×D71—24no—
735C22×D71—22no—
736C22×D71—22no—
737C22×D71—21no—
738C22×D71—41no—
739C22×D71—41no—
740C22×D71—41no—
741C22×D71—42no—
742C22×D71—42no—
743C22×D71—42no—
744C22×D71—42no—
745C22×D71—42no—
746C22×D71—42no—
747C22×D71—42no—
748C22×D71—42no—
749C22×D71—42no—
750C22×D71—42no—
751C22×D71—42no—
752C22×D71—81no—
753C22×D71—81no—
754C22×D71—81no—
755C22×D71—816no—
756C22×D71C22×D411yescharacteristic
757C22×D71C22×D411yescharacteristic
758C22×D71C22×D411yescharacteristic
759Q8×C71—21no—
760Q8×C71—21no—
761Q8×C71—81no—
762D4×C71—21no—
763D4×C71—21no—
764D4×C71—21no—
765D4×C71—21no—
766D4×C71—21no—
767D4×C71—41no—
768D4×C71—42no—
769D4×C71—42no—
770D4×C71—81no—
771D4×C71—81no—
772D4×C71—81no—
773D4×C71C2×#4112yes—
774C2×C4×C71—21no—
775C2×C4×C71—21no—
776C2×C4×C71—21no—
777C2×C4×C71—21no—
778C2×C4×C71—21no—
779C2×C4×C71—21no—
780C2×C4×C71—21no—
781C2×C4×C71—21no—
782C2×C4×C71—21no—
783C2×C4×C71—42no—
784C2×C4×C71—42no—
785C2×C4×C71—81no—
786C2×C4×C71C22×D411yescharacteristic
787C2×C4×C71C22×D411yescharacteristic
788C2×C4×C71C22×D411yescharacteristic
789C2×C4×C71C22×D411yescharacteristic
790C2×C4×C71C2511yescharacteristic
791C22⋊D71—22no—
792C22⋊D71—24no—
793C22⋊D71—41no—
794C22⋊D71—42no—
795C22⋊D71—42no—
796C22⋊D71—42no—
797C22⋊D71—42no—
798C22⋊D71—42no—
799C22⋊D71—42no—
800C22⋊D71—42no—
801C22⋊D71—42no—
802C22⋊D71—81no—
803C22⋊D71—81no—
804C2×Dic71—22no—
805C2×Dic71—22no—
806C2×Dic71—21no—
807C2×Dic71—21no—
808C2×Dic71—21no—
809C2×Dic71—21no—
810C2×Dic71—21no—
811C2×Dic71—21no—
812C2×Dic71—42no—
813C2×Dic71—42no—
814C2×Dic71—81no—
815C2×Dic71—81no—
816C2×Dic71C22×D411yescharacteristic
817C2×Dic71C22×D411yescharacteristic
818C2×Dic71C22×D411yescharacteristic
819C2×Dic71C22×D411yescharacteristic
820C2×Dic71C22×D411yescharacteristic
821D284—22no—
822D284—21no—
823D284—21no—
824D284—21no—
825D284—42no—
826D284—42no—
827D284—81no—
828D284C2×#4112yes—
829C4×D71—22no—
830C4×D71—22no—
831C4×D71—21no—
832C4×D71—21no—
833C4×D71—21no—
834C4×D71—21no—
835C4×D71—22no—
836C4×D71—22no—
837C4×D71—41no—
838C4×D71—41no—
839C4×D71—42no—
840C4×D71—42no—
841C4×D71—42no—
842C4×D71—42no—
843C4×D71—42no—
844C4×D71—42no—
845C4×D71—81no—
846C4×D71—81no—
847C4×D71—81no—
848C4×D71—81no—
849C4×D71C2×#4112yes—
850C4×D71H(5,𝔽2)12yes—
851Dic142—21no—
852Dic142—21no—
853Dic142—21no—
854Dic142—21no—
855Dic142—42no—
856Dic142—42no—
857C8×C71—21no—
858C8×C71—21no—
859C8×C71—21no—
860C8×C71—21no—
861C71⋊C8—21no—
862C71⋊C8—21no—
863C71⋊C8—21no—
864C71⋊C8—21no—
865C22×C71—21no—
866C22×C71—21no—
867C22×C71—21no—
868C22×C71—21no—
869C22×C71—22no—
870C22×C71—21no—
871C22×C71—21no—
872C22×C71—41no—
873C22×C71—41no—
874C22×C71—41no—
875C22×C71—41no—
876C22×C71—41no—
877C22×C71—41no—
878C22×C71—41no—
879C22×C71—41no—
880C22×C71—84no—
881C22×C71C23×D411yescharacteristic
882C2×D71—21no—
883C2×D71—21no—
884C2×D71—21no—
885C2×D71—21no—
886C2×D71—21no—
887C2×D71—21no—
888C2×D71—22no—
889C2×D71—21no—
890C2×D71—44no—
891C2×D71—48no—
892C2×D71—41no—
893C2×D71—41no—
894C2×D71—41no—
895C2×D71—41no—
896C2×D71—41no—
897C2×D71—82no—
898C2×D71—84no—
899C2×D71—84no—
900C2×D71—84no—
901C2×D71—84no—
902C2×D71#54612yes—
903C2×D71#57512yes—
904C4×C71—21no—
905C4×C71—21no—
906C4×C71—21no—
907C4×C71—21no—
908C4×C71—41no—
909C4×C71—41no—
910C4×C71—41no—
911C4×C71—41no—
912C4×C71—41no—
913C4×C71C22×#4111yescharacteristic
914C4×C71C2×H(5,𝔽2)11yescharacteristic
915Dic71—21no—
916Dic71—21no—
917Dic71—21no—
918Dic71—21no—
919Dic71—41no—
920Dic71—41no—
921Dic71—41no—
922Dic71—41no—
923Dic71—41no—
924Dic71—41no—
925Dic71#54612yes—
926#61156—711nomaximal, Sylow
927C2×C71—41no—
928C2×C71—42no—
929C2×C71—41no—
930C2×C71—81no—
931C2×C71—81no—
932C2×C71C2×#54611yescharacteristic
933C2×C71C2×#57511yescharacteristic
934C2×C71#358511yescharacteristic
935D71—22no—
936D71—22no—
937D71—41no—
938D71—42no—
939D71—81no—
940#3475—711no—
941C2×#546—711no—
942#3323—711no—
943#3323—711no—
944#3322—711no—
945#3322—711no—
946#3319—711no—
947#3319D7111yescharacteristic, complemented
948#3314—711no—
949#3314—711no—
950#3311—711no—
951#3311—711no—
952#3306—711no—
953#3306—711no—
954#3297—711no—
955#3297—711no—
956#3296—711no—
957#3296—711no—
958#3140—711no—
959#3095—711no—
960#3094—711no—
961#3077—711no—
962#3056—711no—
963#3055—711no—
964#3040—711no—
965#3005—711no—
966#3003—711no—
967C4×AGL(1,ℤ/8)—711no—
968D4×M16—711no—
969#2896—711no—
970C2×#418—711no—
971C71#6115611yescharacteristic, complemented, Sylow
972C22×#41—711no—
973C23×D4—711no—
974C2×#137—711no—
975C2×AGL(1,ℤ/8)—711no—
976C2×AGL(1,ℤ/8)—711no—
977C22×M16—711no—
978C22×M16—711no—
979#556—711no—
980#555C2×D7111yescharacteristic, complemented
981#554—711no—
982#553—711no—
983#553—711no—
984#552—711no—
985#552—711no—
986#552—1421no—
987#551—1421no—
988#551—1421no—
989#547—711no—
990#546—711no—
991#546—711no—
992#546—711no—
993#546—711no—
994#546—711no—
995#546—711no—
996#546—711no—
997#546—1421no—
998#546—1421no—
999#546—1421no—
1000#546—1421no—
1001#546—1421no—
1002#546C2×D7111yescharacteristic
1003#533—711no—
1004#529—1421no—
1005#529—1421no—
1006#529—1421no—
1007C2×#124—711no—
1008#525—711no—
1009#525—711no—
1010C2×#123—1421no—
1011C2×C22⋊Q8—711no—
1012C2×#121—711no—
1013C2×#121—1421no—
1014C2×#120—1421no—
1015C4×#41—711no—
1016C4×#41—1421no—
1017C2×C4×D4—711no—
1018C2×C4×D4—711no—
1019C2×#117—711no—
1020C2×#117—711no—
1021C22×C22⋊C4—1421no—
1022#489—711no—
1023#489—711no—
1024#489—711no—
1025#489C2×D7111yescharacteristic, complemented
1026#488—711no—
1027#488—711no—
1028#488—711no—
1029#488—711no—
1030#485—711no—
1031#485—711no—
1032#485—711no—
1033#485C2×D7111yescharacteristic, complemented
1034#484—711no—
1035#484—711no—
1036#483—711no—
1037#483—711no—
1038#482—711no—
1039#482—711no—
1040#482—711no—
1041#482C2×D7111yescharacteristic, complemented
1042#481—711no—
1043#481—711no—
1044#480—711no—
1045#480—711no—
1046#478—711no—
1047#478—711no—
1048#478—711no—
1049#478—711no—
1050#476—711no—
1051#476—711no—
1052#474—711no—
1053#474C2×D7111yescharacteristic, complemented
1054#470—711no—
1055#470—711no—
1056#469—711no—
1057#469—711no—
1058#468—711no—
1059#468—711no—
1060#468—711no—
1061#468C2×D7111yescharacteristic, complemented
1062#467—711no—
1063#467—711no—
1064#466—711no—
1065#466C2×D7111yescharacteristic, complemented
1066#465—711no—
1067#465—711no—
1068#465—711no—
1069#465—711no—
1070#464—711no—
1071#464—711no—
1072#464—711no—
1073#464—711no—
1074#463—711no—
1075#463—711no—
1076#463—711no—
1077#463C2×D7111yescharacteristic, complemented
1078#452—711no—
1079#452—711no—
1080#452—711no—
1081#452—711no—
1082#450—711no—
1083#450—711no—
1084#450—711no—
1085#450—711no—
1086#449—711no—
1087#449—711no—
1088#449—711no—
1089#449C2×D7111yescharacteristic, complemented
1090#447—711no—
1091#447—711no—
1092#447—711no—
1093#447C2×D7111yescharacteristic, complemented
1094#442—711no—
1095#442C2×D7111yescharacteristic, complemented
1096#440—711no—
1097#440—711no—
1098C4×SD16—711no—
1099C4×SD16—711no—
1100C4×D8—711no—
1101C4×D8—711no—
1102#436—711no—
1103#436—711no—
1104#435—711no—
1105#435—711no—
1106#435—711no—
1107#435C2×D7111yescharacteristic, complemented
1108C8×D4—711no—
1109C8×D4—711no—
1110#428—711no—
1111#428—711no—
1112#428—711no—
1113#423—711no—
1114#419—711no—
1115#419—711no—
1116#419—711no—
1117#418—711no—
1118#418—711no—
1119#418—711no—
1120#418—711no—
1121#418—711no—
1122#418—711no—
1123#418—711no—
1124#418—711no—
1125#418—711no—
1126#418C2×D7111yescharacteristic, complemented
1127#417—711no—
1128#417—711no—
1129#417—711no—
1130#417—711no—
1131#417—711no—
1132#416—711no—
1133#416—711no—
1134#416—711no—
1135#416C2×D7111yescharacteristic, complemented
1136C2×#102—711no—
1137C2×#102—711no—
1138C2×#102—711no—
1139C2×#102—711no—
1140#407—711no—
1141#407—711no—
1142C4×M16—711no—
1143C25—1421no—
1144C2×#41—2842no—
1145C2×#41—711no—
1146C2×#41—711no—
1147C2×#41—711no—
1148C2×#41—711no—
1149C2×#41—1421no—
1150C2×#41—1421no—
1151C2×#41—1424no—
1152C2×#41—1421no—
1153C2×#41C22×D7111yescharacteristic
1154C22×Q8—711no—
1155C22×D4—2842no—
1156C22×D4—711no—
1157C22×D4—711no—
1158C22×D4—711no—
1159C22×D4—711no—
1160C22×D4—711no—
1161C22×D4—711no—
1162C22×D4—1421no—
1163C22×D4—1421no—
1164C22×D4—1421no—
1165C22×D4—1421no—
1166C22×D4—1424no—
1167C22×D4—1421no—
1168C22×D4C22×D7111yescharacteristic
1169C23×C4—711no—
1170C23×C4—711no—
1171C23×C4—1421no—
1172C23×C4—1421no—
1173#137—2842no—
1174AGL(1,ℤ/8)—2842no—
1175AGL(1,ℤ/8)—1424no—
1176C2×Q16—711no—
1177C2×Q16—711no—
1178C2×SD16—711no—
1179C2×SD16—711no—
1180C2×SD16—711no—
1181C2×SD16—711no—
1182C2×SD16—711no—
1183C2×SD16C22×D7111yescharacteristic, complemented
1184C2×D8—711no—
1185C2×D8—711no—
1186C2×D8C22×D7111yescharacteristic
1187C2×D8C22×D7111yescharacteristic
1188C2×M16—2842no—
1189C2×M16—2842no—
1190C2×M16—711no—
1191C2×M16—711no—
1192C2×M16—711no—
1193C2×M16—711no—
1194C2×M16—711no—
1195C2×M16—711no—
1196C2×M16—711no—
1197C2×M16C22×D7111yescharacteristic
1198C22×C8—711no—
1199C22×C8—711no—
1200C22×C8—711no—
1201C22×C8C22×D7111yescharacteristic, complemented
1202C4⋊Q8—711no—
1203C4⋊Q8C22×D7111yescharacteristic, complemented
1204#126—1421no—
1205#126—1421no—
1206#126—1421no—
1207#126—1421no—
1208#126—1421no—
1209#126—1421no—
1210#125—711no—
1211#125—711no—
1212#125—1421no—
1213#125—1421no—
1214#125—1421no—
1215#124—21no—
1216#124—21no—
1217#124—711no—
1218#124—711no—
1219#124—711no—
1220#124—1421no—
1221#124—1421no—
1222#124—1421no—
1223#124C22×D7111yescharacteristic
1224#123—21no—
1225#123—1421no—
1226#123—1421no—
1227#123—1421no—
1228#123—1421no—
1229#123—1421no—
1230#123—1421no—
1231#123—1421no—
1232#123—1421no—
1233#123—1421no—
1234#123—1421no—
1235#123—1421no—
1236#123—1421no—
1237#123—1421no—
1238#123—1421no—
1239#123—1421no—
1240C22⋊Q8—711no—
1241C22⋊Q8—711no—
1242C22⋊Q8—711no—
1243C22⋊Q8—711no—
1244C22⋊Q8—711no—
1245C22⋊Q8—711no—
1246C22⋊Q8—711no—
1247C22⋊Q8—1421no—
1248C22⋊Q8—1421no—
1249C22⋊Q8—1421no—
1250C22⋊Q8—1421no—
1251C22⋊Q8—1421no—
1252C22⋊Q8—1421no—
1253C22⋊Q8—1421no—
1254C22⋊Q8C22×D7111yescharacteristic
1255#121—21no—
1256#121—21no—
1257#121—711no—
1258#121—711no—
1259#121—711no—
1260#121—711no—
1261#121—711no—
1262#121—1421no—
1263#121—1421no—
1264#121—1421no—
1265#121—1421no—
1266#121—1421no—
1267#121—1421no—
1268#121—1421no—
1269#121—1421no—
1270#121—1421no—
1271#121—1421no—
1272#121—1421no—
1273#121C22×D7111yescharacteristic
1274#121C22×D7111yescharacteristic
1275#121C22×D7111yescharacteristic, complemented
1276#120—21no—
1277#120—1421no—
1278#120—1421no—
1279#120—1421no—
1280#120—1421no—
1281#120—1421no—
1282#120—1421no—
1283#120—1421no—
1284#120—1421no—
1285#120—1421no—
1286C4×Q8—711no—
1287C4×Q8—711no—
1288C4×Q8—1421no—
1289C4×Q8—1421no—
1290C4×Q8—1421no—
1291C4×D4—711no—
1292C4×D4—711no—
1293C4×D4—711no—
1294C4×D4—711no—
1295C4×D4—711no—
1296C4×D4—711no—
1297C4×D4—711no—
1298C4×D4—711no—
1299C4×D4—711no—
1300C4×D4—711no—
1301C4×D4—711no—
1302C4×D4—1421no—
1303C4×D4—1421no—
1304C4×D4—1421no—
1305C4×D4—1421no—
1306C4×D4—1421no—
1307C4×D4—1421no—
1308C4×D4—1421no—
1309C4×D4—1421no—
1310C4×D4—1421no—
1311C4×D4—1421no—
1312C4×D4—1421no—
1313C4×D4C22×D7111yescharacteristic
1314C4×D4C22×D7111yescharacteristic
1315C4×D4C22×D7111yescharacteristic, complemented
1316#117—21no—
1317#117—711no—
1318#117—711no—
1319#117—711no—
1320#117—711no—
1321#117—711no—
1322#117—1421no—
1323#117—1421no—
1324#117—1421no—
1325#117—1421no—
1326#117—1421no—
1327#117—1421no—
1328#117—1421no—
1329#117C22×D7111yescharacteristic
1330#117C22×D7111yescharacteristic, complemented
1331C2×C4⋊C4—711no—
1332C2×C4⋊C4—711no—
1333C2×C4⋊C4—711no—
1334C2×C4⋊C4—711no—
1335C2×C4⋊C4—711no—
1336C2×C4⋊C4—711no—
1337C2×C4⋊C4—1421no—
1338C2×C22⋊C4—21no—
1339C2×C22⋊C4—711no—
1340C2×C22⋊C4—711no—
1341C2×C22⋊C4—1421no—
1342C2×C22⋊C4—1421no—
1343C2×C22⋊C4—1421no—
1344C2×C22⋊C4—1421no—
1345C2×C22⋊C4—1421no—
1346C2×C22⋊C4—1421no—
1347C2×C22⋊C4—1421no—
1348C2×C22⋊C4—1421no—
1349C2×C22⋊C4—1421no—
1350C2×C22⋊C4—1421no—
1351C2×C22⋊C4—1421no—
1352C2×C22⋊C4—1421no—
1353C2×C22⋊C4—1421no—
1354C2×C22⋊C4—1421no—
1355C2×C42—711no—
1356C2×C42—1421no—
1357C2×C42—1421no—
1358C2×C42—1421no—
1359#107—711no—
1360#107—711no—
1361#107—711no—
1362#107—711no—
1363#107C22×D7111yescharacteristic, complemented
1364#107C22×D7111yescharacteristic, complemented
1365#106—711no—
1366#106—711no—
1367#106—711no—
1368#106—711no—
1369#106—711no—
1370#106C22×D7111yescharacteristic, complemented
1371C4⋊C8—711no—
1372C4⋊C8—711no—
1373C4⋊C8—711no—
1374C4⋊C8C22×D7111yescharacteristic, complemented
1375#103—711no—
1376#103—711no—
1377#103—711no—
1378#103—711no—
1379#103—711no—
1380#103—711no—
1381#103—711no—
1382#103—711no—
1383#103—711no—
1384#103—711no—
1385#103—711no—
1386#103C22×D7111yescharacteristic, complemented
1387#103C22×D7111yescharacteristic, complemented
1388#103C22×D7111yescharacteristic, complemented
1389#102—711no—
1390#102—711no—
1391#102—711no—
1392#102—711no—
1393#102—711no—
1394#102—711no—
1395#102—711no—
1396#102—711no—
1397#102—711no—
1398#102—711no—
1399#102—711no—
1400#102—711no—
1401#102—711no—
1402#102—711no—
1403#102—711no—
1404#102—711no—
1405#102—711no—
1406#102—711no—
1407#102—711no—
1408#102C22×D7111yescharacteristic
1409#102C22×D7111yescharacteristic
1410#102C22×D7111yescharacteristic
1411#102C22×D7111yescharacteristic
1412#102C22×D7111yescharacteristic
1413#102C22×D7111yescharacteristic
1414#102C22×D7111yescharacteristic, complemented
1415C22⋊C8—711no—
1416C22⋊C8—711no—
1417C22⋊C8—711no—
1418C22⋊C8—711no—
1419C22⋊C8—711no—
1420C22⋊C8—711no—
1421C22⋊C8C22×D7111yescharacteristic
1422C22⋊C8C22×D7111yescharacteristic, complemented
1423#97—711no—
1424#97C22×D7111yescharacteristic, complemented
1425C4×C8—711no—
1426C4×C8—711no—
1427C24—21no—
1428C24—2844no—
1429C24—2844no—
1430C24—5682no—
1431C24—711no—
1432C24—711no—
1433C24—1421no—
1434C24—1421no—
1435C24—1421no—
1436C24—1421no—
1437C24—1421no—
1438#41—22no—
1439#41—41no—
1440#41—2841no—
1441#41—2844no—
1442#41—2844no—
1443#41—2841no—
1444#41—2844no—
1445#41—2841no—
1446#41—1422no—
1447#41—1422no—
1448#41—1422no—
1449#41—1422no—
1450#41—1422no—
1451C2×Q8—21no—
1452C2×Q8—711no—
1453C2×Q8—711no—
1454C2×Q8—1421no—
1455C2×Q8—1422no—
1456C2×Q8—1422no—
1457C2×Q8—1421no—
1458C2×Q8C23×D7111yescharacteristic
1459C2×D4—22no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—41no—
1466C2×D4—2841no—
1467C2×D4—2844no—
1468C2×D4—2842no—
1469C2×D4—2841no—
1470C2×D4—2841no—
1471C2×D4—2844no—
1472C2×D4—2844no—
1473C2×D4—2844no—
1474C2×D4—5682no—
1475C2×D4—711no—
1476C2×D4—714no—
1477C2×D4—711no—
1478C2×D4—711no—
1479C2×D4—711no—
1480C2×D4—711no—
1481C2×D4—1421no—
1482C2×D4—1422no—
1483C2×D4—1421no—
1484C2×D4—1422no—
1485C2×D4—1422no—
1486C2×D4—1422no—
1487C2×D4—1421no—
1488C2×D4—1421no—
1489C2×D4—1421no—
1490C2×D4—1421no—
1491C2×D4—1422no—
1492C2×D4—1421no—
1493C2×D4—1421no—
1494C2×D4—1421no—
1495C2×D4—1421no—
1496C2×D4—1421no—
1497C2×D4—1422no—
1498C2×D4—1421no—
1499C2×D4—1421no—
1500C2×D4—1421no—
1501C2×D4D4×D7111yescharacteristic
1502C2×D4C23×D7111yescharacteristic
1503C2×D4C23×D7111yescharacteristic
1504C2×D4C23×D7111yescharacteristic
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—2844no—
1509C22×C4—5682no—
1510C22×C4—711no—
1511C22×C4—711no—
1512C22×C4—711no—
1513C22×C4—711no—
1514C22×C4—711no—
1515C22×C4—711no—
1516C22×C4—711no—
1517C22×C4—711no—
1518C22×C4—711no—
1519C22×C4—711no—
1520C22×C4—711no—
1521C22×C4—1421no—
1522C22×C4—1421no—
1523C22×C4—1421no—
1524C22×C4—1421no—
1525C22×C4—1421no—
1526C22×C4—1421no—
1527C22×C4—1421no—
1528C22×C4—1421no—
1529C22×C4—1422no—
1530C22×C4—1422no—
1531C22×C4—1422no—
1532C22×C4—1422no—
1533C22×C4—1421no—
1534C22×C4—1421no—
1535C22×C4—1421no—
1536C22×C4—1421no—
1537C22×C4—1421no—
1538C22×C4—1421no—
1539C22×C4C23×D7111yescharacteristic
1540C22×C4C23×D7111yescharacteristic
1541Q16—2841no—
1542Q16—2841no—
1543SD16—41no—
1544SD16—2841no—
1545SD16—2841no—
1546SD16—2841no—
1547SD16—1422no—
1548SD16—1422no—
1549D8—22no—
1550D8—41no—
1551D8—2841no—
1552D8—1422no—
1553M16—41no—
1554M16—2841no—
1555M16—2841no—
1556M16—2841no—
1557M16—1422no—
1558M16—1422no—
1559M16—1422no—
1560M16—1422no—
1561C2×C8—41no—
1562C2×C8—2841no—
1563C2×C8—2841no—
1564C2×C8—2841no—
1565C2×C8—711no—
1566C2×C8—711no—
1567C2×C8—711no—
1568C2×C8—711no—
1569C2×C8C23×D7111yescharacteristic
1570C2×C8C23×D7111yescharacteristic
1571C2×C8C23×D7111yescharacteristic
1572C2×C8C23×D7111yescharacteristic
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—711no—
1576C4⋊C4—711no—
1577C4⋊C4—711no—
1578C4⋊C4—711no—
1579C4⋊C4—711no—
1580C4⋊C4—711no—
1581C4⋊C4—711no—
1582C4⋊C4—1421no—
1583C4⋊C4—1421no—
1584C4⋊C4—1421no—
1585C4⋊C4—1421no—
1586C4⋊C4—1421no—
1587C4⋊C4—1421no—
1588C4⋊C4—1421no—
1589C4⋊C4—1421no—
1590C4⋊C4—1421no—
1591C4⋊C4—1421no—
1592C4⋊C4—1421no—
1593C4⋊C4—1421no—
1594C4⋊C4—1421no—
1595C4⋊C4—1421no—
1596C4⋊C4—1421no—
1597C4⋊C4—1421no—
1598C4⋊C4—1421no—
1599C4⋊C4—1421no—
1600C4⋊C4—1421no—
1601C4⋊C4D4×D7111yescharacteristic
1602C4⋊C4C23×D7111yescharacteristic
1603C4⋊C4C23×D7111yescharacteristic
1604C4⋊C4C23×D7111yescharacteristic
1605C4⋊C4C23×D7111yescharacteristic
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—711no—
1617C22⋊C4—711no—
1618C22⋊C4—711no—
1619C22⋊C4—711no—
1620C22⋊C4—711no—
1621C22⋊C4—711no—
1622C22⋊C4—1421no—
1623C22⋊C4—1421no—
1624C22⋊C4—1421no—
1625C22⋊C4—1421no—
1626C22⋊C4—1421no—
1627C22⋊C4—1421no—
1628C22⋊C4—1421no—
1629C22⋊C4—1421no—
1630C22⋊C4—1421no—
1631C22⋊C4—1421no—
1632C22⋊C4—1421no—
1633C22⋊C4—1421no—
1634C22⋊C4—1421no—
1635C22⋊C4—1421no—
1636C22⋊C4—1421no—
1637C22⋊C4—1421no—
1638C22⋊C4—1421no—
1639C22⋊C4—1421no—
1640C22⋊C4—1421no—
1641C22⋊C4—1421no—
1642C22⋊C4—1421no—
1643C22⋊C4—1421no—
1644C22⋊C4—1421no—
1645C22⋊C4—1421no—
1646C22⋊C4—1421no—
1647C22⋊C4—1421no—
1648C22⋊C4—1421no—
1649C22⋊C4D4×D7111yescharacteristic
1650C22⋊C4D4×D7111yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—711no—
1654C42—711no—
1655C42—711no—
1656C42—1421no—
1657C42—1421no—
1658C42—1421no—
1659C42—1421no—
1660C42—1421no—
1661C42—1421no—
1662C42—1421no—
1663C42C23×D7111yescharacteristic
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—42no—
1668C23—42no—
1669C23—81no—
1670C23—2841no—
1671C23—2842no—
1672C23—2842no—
1673C23—2842no—
1674C23—2841no—
1675C23—2841no—
1676C23—2842no—
1677C23—2842no—
1678C23—2842no—
1679C23—2842no—
1680C23—2842no—
1681C23—2842no—
1682C23—2842no—
1683C23—2842no—
1684C23—5681no—
1685C23—5681no—
1686C23—5681no—
1687C23—56816no—
1688C23—711no—
1689C23—711no—
1690C23—711no—
1691C23—1424no—
1692C23—1422no—
1693C23—1422no—
1694C23—1422no—
1695C23—1421no—
1696C23—1421no—
1697C23C2×D4×D7111yescharacteristic
1698C23C2×D4×D7111yescharacteristic
1699Q8—21no—
1700Q8—21no—
1701Q8—81no—
1702Q8—2842no—
1703Q8—2842no—
1704Q8—1421no—
1705Q8—1421no—
1706Q8—1421no—
1707Q8—1421no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—41no—
1714D4—42no—
1715D4—42no—
1716D4—81no—
1717D4—81no—
1718D4—81no—
1719D4—2842no—
1720D4—2842no—
1721D4—2842no—
1722D4—2842no—
1723D4—2842no—
1724D4—2842no—
1725D4—2842no—
1726D4—2842no—
1727D4—2842no—
1728D4—2841no—
1729D4—2842no—
1730D4—5681no—
1731D4—5681no—
1732D4—5681no—
1733D4—712no—
1734D4—1422no—
1735D4—1424no—
1736D4—1422no—
1737D4—1421no—
1738D4—1421no—
1739D4—1421no—
1740D4#41×D7112yes—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—81no—
1753C2×C4—2842no—
1754C2×C4—2841no—
1755C2×C4—2841no—
1756C2×C4—2842no—
1757C2×C4—2842no—
1758C2×C4—2842no—
1759C2×C4—2842no—
1760C2×C4—2842no—
1761C2×C4—2842no—
1762C2×C4—2842no—
1763C2×C4—5681no—
1764C2×C4—5681no—
1765C2×C4—5681no—
1766C2×C4—5681no—
1767C2×C4—5681no—
1768C2×C4—5681no—
1769C2×C4—711no—
1770C2×C4—712no—
1771C2×C4—712no—
1772C2×C4—711no—
1773C2×C4—711no—
1774C2×C4—711no—
1775C2×C4—711no—
1776C2×C4—1422no—
1777C2×C4—1422no—
1778C2×C4—1422no—
1779C2×C4—1422no—
1780C2×C4—1421no—
1781C2×C4—1421no—
1782C2×C4—1421no—
1783C2×C4—1421no—
1784C2×C4—1421no—
1785C2×C4—1421no—
1786C2×C4—1422no—
1787C2×C4—1422no—
1788C2×C4—1421no—
1789C2×C4—1421no—
1790C2×C4—1421no—
1791C2×C4—1421no—
1792C2×C4C2×D4×D7111yescharacteristic
1793C2×C4C2×D4×D7111yescharacteristic
1794C2×C4C2×D4×D7111yescharacteristic
1795C2×C4C2×D4×D7111yescharacteristic
1796C2×C4C24×D7111yescharacteristic
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C8—1421no—
1802C8—1421no—
1803C8—1421no—
1804C8—1421no—
1805C22—21no—
1806C22—21no—
1807C22—22no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—84no—
1821C22—2848no—
1822C22—2844no—
1823C22—2841no—
1824C22—2841no—
1825C22—2841no—
1826C22—2841no—
1827C22—2841no—
1828C22—5684no—
1829C22—5682no—
1830C22—5684no—
1831C22—5684no—
1832C22—5684no—
1833C22—712no—
1834C22—712no—
1835C22—1422no—
1836C22—1421no—
1837C22—1421no—
1838C22—1421no—
1839C22—1421no—
1840C22—1421no—
1841C22—1421no—
1842C22—1421no—
1843C22C22×D4×D7111yescharacteristic
1844C4—21no—
1845C4—21no—
1846C4—21no—
1847C4—21no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—2841no—
1854C4—2841no—
1855C4—2841no—
1856C4—2841no—
1857C4—2841no—
1858C4—2841no—
1859C4—712no—
1860C4—1421no—
1861C4—1421no—
1862C4—1421no—
1863C4—1421no—
1864C4C2×#41×D7111yescharacteristic
1865C4H(5,𝔽2)×D7111yescharacteristic
1866C2—41no—
1867C2—41no—
1868C2—42no—
1869C2—81no—
1870C2—81no—
1871C2—2842no—
1872C2—2841no—
1873C2—5681no—
1874C2—1422no—
1875C2—1422no—
1876C2#546×D7111yescharacteristic
1877C2#575×D7111yescharacteristic
1878C2#2260311511yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3319C2
socleC22×C71C23×D4
hypercenter#3319D71
hypocenterC71#61156
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #22601897C2semidirect
2. #546×D71C2semidirect
3. #22600554C2semidirect
4. #22600552C2semidirect
5. #22600547C2semidirect
6. #22600545C2semidirect
7. #22600490C2semidirect
8. #22600420C2semidirect
9. #22600418C2semidirect
10. #22600378C2semidirect
11. #22600376C2semidirect
12. #22600308C2semidirect
13. #22600306C2semidirect
14. #22600185C2semidirect
15. #22600183C2semidirect
16. #22600178C2semidirect
17. #22600176C2semidirect
18. #22598725C2semidirect
19. #22598287C2semidirect
20. #22598279C2semidirect
21. #22598132C2semidirect
22. #22597965C2semidirect
23. #22597956C2semidirect
24. #22597829C2semidirect
25. #22597578C2semidirect
26. #22597564C2semidirect
27. #22597151C2semidirect
28. #22597073C2semidirect
29. #22596855C2semidirect
30. #418×D71C2semidirect
31. C71×#3319C2semidirect
34. C2×#14556157C22semidirect
37. C22×#11765848C22semidirect
39. #17986719C22semidirect
40. #17986710C22semidirect
41. #17986696C22semidirect
42. #17986696C22semidirect
44. #17986688C22semidirect
45. #17986688C22semidirect
48. #17986654C22semidirect
61. #17986554C22semidirect
67. #17986509C22semidirect
74. C4×#11765864C22semidirect
78. #117×D71C22semidirect
80. #17986361C22semidirect
81. #17986359C22semidirect
82. #17986358C22semidirect
83. #17986355C22semidirect
84. #17986355C22semidirect
85. #17986352C22semidirect
86. #17986352C22semidirect
87. #17986341C22semidirect
88. #17986340C22semidirect
89. #17986337C22semidirect
90. #17986336C22semidirect
91. #17986333C22semidirect
92. #17986331C22semidirect
93. #17986328C22semidirect
94. #17986324C22semidirect
95. #17986323C22semidirect
96. #17986320C22semidirect
97. #17986319C22semidirect
98. #17986316C22semidirect
99. #17986314C22semidirect
100. #17986311C22semidirect
101. #17986302C22semidirect
102. #17986302C22semidirect
103. #17986301C22semidirect
104. #17986301C22semidirect
105. #17986290C22semidirect
106. #17986289C22semidirect
107. #17986276C22semidirect
108. #17986257C22semidirect
109. #17986255C22semidirect
110. #17986251C22semidirect
111. #17986249C22semidirect
112. #17986246C22semidirect
113. #17986244C22semidirect
114. #17986243C22semidirect
115. #17986241C22semidirect
116. #17986239C22semidirect
117. #17986233C22semidirect
118. #17986228C22semidirect
119. #17986227C22semidirect
120. #17986226C22semidirect
121. #17986225C22semidirect
122. #17986224C22semidirect
123. #17986222C22semidirect
124. #17986220C22semidirect
125. #17986218C22semidirect
126. #17986216C22semidirect
127. #17986214C22semidirect
128. #17986212C22semidirect
129. #17986164C22semidirect
130. #17986163C22semidirect
131. #17986162C22semidirect
132. #17986161C22semidirect
133. #17986152C22semidirect
134. #17986151C22semidirect
135. #17986151C22semidirect
136. #17986150C22semidirect
137. #17986143C22semidirect
138. #17986142C22semidirect
139. #17986141C22semidirect
140. #17986132C22semidirect
141. #17986131C22semidirect
142. #17986131C22semidirect
143. #17986109C22semidirect
144. #17986101C22semidirect
145. #17986099C22semidirect
146. #17986090C22semidirect
147. #17986086C22semidirect
148. D8×Dic71C22semidirect
149. #17986079C22semidirect
150. #17986075C22semidirect
151. #17986074C22semidirect
152. #17986072C22semidirect
153. #17986071C22semidirect
154. #17986069C22semidirect
155. C8×C22⋊D71C22semidirect
156. (C22⋊D71)⋊C8C22semidirect
157. #17986040C22semidirect
158. #17986040C22semidirect
159. #17986038C22semidirect
160. #17986021C22semidirect
161. #17986006C22semidirect
162. #17986006C22semidirect
163. #17986006C22semidirect
164. #17986005C22semidirect
165. #17986004C22semidirect
166. #17986003C22semidirect
173. #17985999C22semidirect
174. #17985999C22semidirect
175. #17985997C22semidirect
176. #17985997C22semidirect
177. #17985997C22semidirect
178. #17985996C22semidirect
179. #17985995C22semidirect
180. #17985993C22semidirect
181. #102×D71C22semidirect
182. #102×D71C22semidirect
183. #102×D71C22semidirect
184. #102×D71C22semidirect
186. #17985961C22semidirect
187. #17985951C22semidirect
188. #555×C71C22semidirect
190. #489×C71C22semidirect
191. #485×C71C22semidirect
192. #482×C71C22semidirect
193. #474×C71C22semidirect
194. #468×C71C22semidirect
195. #466×C71C22semidirect
196. #463×C71C22semidirect
197. #449×C71C22semidirect
198. #447×C71C22semidirect
199. #442×C71C22semidirect
200. #435×C71C22semidirect
201. #418×C71C22semidirect
202. #416×C71C22semidirect
234. C2×Dic284C23semidirect
235. C2×#11765855C23semidirect
240. C2×#11765853C23semidirect
249. C2×#11765848C23semidirect
250. C2×#11765848C23semidirect
252. C22×C71⋊C8C23semidirect
255. #14556128C23semidirect
265. #14556119C23semidirect
266. #14556119C23semidirect
291. #14556108C23semidirect
295. #14556107C23semidirect
317. #14556099C23semidirect
328. C4×Dic142C23semidirect
331. #14556093C23semidirect
338. D4×Dic71C23semidirect
355. #14556087C23semidirect
371. C4⋊C4×D71C23semidirect
372. C4⋊C4×D71C23semidirect
393. #14556062C23semidirect
394. #14556061C23semidirect
395. #14556061C23semidirect
396. #14556061C23semidirect
397. #14556060C23semidirect
398. #14556060C23semidirect
399. #14556059C23semidirect
400. #14556059C23semidirect
401. #14556059C23semidirect
402. C4⋊(C71⋊C8)C23semidirect
403. Dic71⋊C8C23semidirect
404. Dic71⋊C8C23semidirect
405. #14556053C23semidirect
406. #14556053C23semidirect
407. #14556053C23semidirect
408. #14556053C23semidirect
409. #14556052C23semidirect
410. #14556052C23semidirect
411. #14556052C23semidirect
412. #14556051C23semidirect
413. #14556051C23semidirect
414. #14556051C23semidirect
415. #14556051C23semidirect
428. #14556049C23semidirect
436. C22⋊(C71⋊C8)C23semidirect
439. (C2×D71)⋊C8C23semidirect
440. (C2×D71)⋊C8C23semidirect
441. #14556039C23semidirect
442. C8×Dic71C23semidirect
443. C8×Dic71C23semidirect
446. C2×SD16×C71C23semidirect
450. C22×C8×C71C23semidirect
451. C4⋊Q8×C71C23semidirect
461. #121×C71C23semidirect
465. C4×D4×C71C23semidirect
468. #117×C71C23semidirect
470. #107×C71C23semidirect
471. #107×C71C23semidirect
472. #106×C71C23semidirect
473. C4⋊C8×C71C23semidirect
474. #103×C71C23semidirect
475. #103×C71C23semidirect
476. #103×C71C23semidirect
483. #102×C71C23semidirect
485. C22⋊C8×C71C23semidirect
486. #97×C71C23semidirect
548. D4×D71#41semidirect
947. #3319D71semidirect
971. C71#61156semidirect
980. #555C2×D71semidirect
1025. #489C2×D71semidirect
1033. #485C2×D71semidirect
1041. #482C2×D71semidirect
1053. #474C2×D71semidirect
1061. #468C2×D71semidirect
1065. #466C2×D71semidirect
1077. #463C2×D71semidirect
1089. #449C2×D71semidirect
1093. #447C2×D71semidirect
1095. #442C2×D71semidirect
1107. #435C2×D71semidirect
1126. #418C2×D71semidirect
1135. #416C2×D71semidirect
1183. C2×SD16C22×D71semidirect
1201. C22×C8C22×D71semidirect
1203. C4⋊Q8C22×D71semidirect
1275. #121C22×D71semidirect
1315. C4×D4C22×D71semidirect
1330. #117C22×D71semidirect
1363. #107C22×D71semidirect
1364. #107C22×D71semidirect
1370. #106C22×D71semidirect
1374. C4⋊C8C22×D71semidirect
1386. #103C22×D71semidirect
1387. #103C22×D71semidirect
1388. #103C22×D71semidirect
1414. #102C22×D71semidirect
1422. C22⋊C8C22×D71semidirect
1424. #97C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226018972
#546×D712
#226005542
#226005522
#226005472
#226005452
#226004902
#226004202
#226004182
#226003782
#226003762
#226003082
#226003062
#226001852
#226001832
#226001782
#226001762
#225987252
#225982872
#225982792
#225981322
#225979652
#225979562
#225978292
#225975782
#225975642
#225971512
#225970732
#225968552
#418×D712
C71×#33192
#6115671