Finite Group Databasebeta

← #32884012

Subgroups — #32884012

Order 18176.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602633C211yesmaximal, characteristic, complemented
2#22600678C211yesmaximal, characteristic, complemented
3#22600608C211yesmaximal, characteristic, complemented
4#22600571C211yesmaximal, characteristic, complemented
5#22600541C211yesmaximal, characteristic, complemented
6#22600421C211yesmaximal, characteristic, complemented
7#22600406C211yesmaximal, characteristic, complemented
8#22600361C211yesmaximal, characteristic, complemented
9#22600346C211yesmaximal, characteristic, complemented
10#22600006C211yesmaximal, characteristic, complemented
11#22599993C211yesmaximal, characteristic, complemented
12#22599967C211yesmaximal, characteristic, complemented
13#22599936C211yesmaximal, characteristic, complemented
14#22599921C211yesmaximal, characteristic, complemented
15#22599896C211yesmaximal, characteristic, complemented
16#22599846C211yesmaximal, characteristic, complemented
17#22599831C211yesmaximal, characteristic, complemented
18#22599434C211yesmaximal, characteristic, complemented
19#22599412C211yesmaximal, characteristic, complemented
20#22599237C211yesmaximal, characteristic, complemented
21#22599216C211yesmaximal, characteristic, complemented
22#22599154C211yesmaximal, characteristic, complemented
23#22599146C211yesmaximal, characteristic, complemented
24#22598602C211yesmaximal, characteristic, complemented
25#22598554C211yesmaximal, characteristic, complemented
26#22597644C211yesmaximal, characteristic, complemented
27#22597617C211yesmaximal, characteristic, complemented
28#22597600C211yesmaximal, characteristic, complemented
29#22597582C211yesmaximal, characteristic, complemented
30#22597402C211yesmaximal, characteristic, complemented
31C71×#3488C211yesmaximal, characteristic, complemented
32C2×#14556159C2211yescharacteristic, complemented
33C2×#14556158C2211yescharacteristic, complemented
34C2×#14556158C2211yescharacteristic, complemented
35C2×#14556158C2211yescharacteristic, complemented
36C2×#14556154C2211yescharacteristic, complemented
37C2×#14556154C2211yescharacteristic, complemented
38C2×#14556148C2211yescharacteristic, complemented
39C22×#11765853C2211yescharacteristic, complemented
40#17986750—21no—
41#17986744—21no—
42#17986719C2211yescharacteristic, complemented
43#17986706C2211yescharacteristic, complemented
44#17986703—21no—
45#17986695C2211yescharacteristic, complemented
46#17986692—21no—
47#17986689C2211yescharacteristic, complemented
48D4×Dic142C2211yescharacteristic, complemented
49#17986658C2211yescharacteristic, complemented
50#17986658C2211yescharacteristic, complemented
51#17986654C2211yescharacteristic, complemented
52#17986620C2211yescharacteristic, complemented
53#17986617—21no—
54#17986611C2211yescharacteristic, complemented
55#17986592—21no—
56#17986584—21no—
57#17986584—21no—
58#17986577C2211yescharacteristic, complemented
59#17986570C2211yescharacteristic, complemented
60#17986510C2211yescharacteristic, complemented
61C2×#14556107C2211yescharacteristic, complemented
62#17986394C2211yescharacteristic, complemented
63#17986386C2211yescharacteristic, complemented
64#17986381C2211yescharacteristic, complemented
65#17986371C2211yescharacteristic, complemented
66#17986363C2211yescharacteristic, complemented
67#17986358C2211yescharacteristic, complemented
68#17986353C2211yescharacteristic, complemented
69#17986345C2211yescharacteristic, complemented
70#17986337C2211yescharacteristic, complemented
71#17986334C2211yescharacteristic, complemented
72#17986334C2211yescharacteristic, complemented
73#17986332C2211yescharacteristic, complemented
74#17986329C2211yescharacteristic, complemented
75#17986320C2211yescharacteristic, complemented
76#17986320C2211yescharacteristic, complemented
77#17986320C2211yescharacteristic, complemented
78#17986312C2211yescharacteristic, complemented
79#17986310C2211yescharacteristic, complemented
80#17986310C2211yescharacteristic, complemented
81#17986310C2211yescharacteristic, complemented
82#17986306C2211yescharacteristic, complemented
83#17986299C2211yescharacteristic, complemented
84#17986294C2211yescharacteristic, complemented
85#17986279C2211yescharacteristic, complemented
86#17986255C2211yescharacteristic, complemented
87#17986250C2211yescharacteristic, complemented
88#17986250C2211yescharacteristic, complemented
89#17986247C2211yescharacteristic, complemented
90#17986243C2211yescharacteristic, complemented
91#17986243C2211yescharacteristic, complemented
92#17986243C2211yescharacteristic, complemented
93#17986243C2211yescharacteristic, complemented
94#17986243C2211yescharacteristic, complemented
95#17986243C2211yescharacteristic, complemented
96#17986243C2211yescharacteristic, complemented
97#17986243C2211yescharacteristic, complemented
98#17986238C2211yescharacteristic, complemented
99#17986238C2211yescharacteristic, complemented
100#17986233C2211yescharacteristic, complemented
101#17986226C2211yescharacteristic, complemented
102#17986221C2211yescharacteristic, complemented
103#17986218C2211yescharacteristic, complemented
104#17986218C2211yescharacteristic, complemented
105#17986218C2211yescharacteristic, complemented
106#17986214C2211yescharacteristic, complemented
107#17986211C2211yescharacteristic, complemented
108#17986209C2211yescharacteristic, complemented
109#17986204C2211yescharacteristic, complemented
110#17986196C2211yescharacteristic, complemented
111#17986196C2211yescharacteristic, complemented
112#17986196C2211yescharacteristic, complemented
113#17986191C2211yescharacteristic, complemented
114#17986161C2211yescharacteristic
115#17986161C2211yescharacteristic
116#17986161C2211yescharacteristic
117#17986161C2211yescharacteristic, complemented
118#17986161C2211yescharacteristic, complemented
119#17986161C2211yescharacteristic, complemented
120#17986161C2211yescharacteristic, complemented
121#17986161C2211yescharacteristic, complemented
122#17986161C2211yescharacteristic, complemented
123#17986161C2211yescharacteristic, complemented
124#17986161C2211yescharacteristic, complemented
125#17986159C2211yescharacteristic, complemented
126#17986155C2211yescharacteristic, complemented
127#17986155C2211yescharacteristic, complemented
128#17986154C2211yescharacteristic, complemented
129#17986150C2211yescharacteristic, complemented
130#17986150C2211yescharacteristic, complemented
131#17986150C2211yescharacteristic, complemented
132#17986150C2211yescharacteristic, complemented
133#17986150C2211yescharacteristic, complemented
134#17986150C2211yescharacteristic, complemented
135#17986150C2211yescharacteristic, complemented
136#17986150C2211yescharacteristic, complemented
137#17986144C2211yescharacteristic
138#17986144C2211yescharacteristic, complemented
139#17986144C2211yescharacteristic, complemented
140#17986144C2211yescharacteristic, complemented
141#17986144C2211yescharacteristic, complemented
142#17986142C2211yescharacteristic, complemented
143#17986142C2211yescharacteristic, complemented
144#17986142C2211yescharacteristic, complemented
145#17986137C2211yescharacteristic, complemented
146#17986137C2211yescharacteristic, complemented
147#17986137C2211yescharacteristic, complemented
148#17986133C2211yescharacteristic, complemented
149#17986133C2211yescharacteristic, complemented
150#17986104C2211yescharacteristic, complemented
151#17986099C2211yescharacteristic, complemented
152#17986099C2211yescharacteristic, complemented
153#17986097C2211yescharacteristic, complemented
154C4×#11765855C2211yescharacteristic, complemented
155C4×#11765855C2211yescharacteristic, complemented
156C4×#11765853C2211yescharacteristic, complemented
157C4×#11765850C2211yescharacteristic, complemented
158#17986077C2211yescharacteristic, complemented
159#17986077C2211yescharacteristic, complemented
160#17986077C2211yescharacteristic, complemented
161#17986077C2211yescharacteristic, complemented
162#17986071C2211yescharacteristic, complemented
163#17986071C2211yescharacteristic, complemented
164#17986071C2211yescharacteristic, complemented
165#17986071C2211yescharacteristic, complemented
166#17986060C2211yescharacteristic, complemented
167#17986060C2211yescharacteristic, complemented
168#17986008C2211yescharacteristic, complemented
169#17986004C2211yescharacteristic, complemented
170#17986004C2211yescharacteristic, complemented
171#17986000C2211yescharacteristic, complemented
172#17986000C2211yescharacteristic, complemented
173#17986000C2211yescharacteristic, complemented
174#17985995C2211yescharacteristic, complemented
175C2×#14556049C2211yescharacteristic, complemented
176#17985966C2211yescharacteristic, complemented
177#17985966C2211yescharacteristic, complemented
178#17985963C2211yescharacteristic, complemented
179#17985963C2211yescharacteristic, complemented
180C2×H(5,𝔽2)×C71C2211yescharacteristic
181C22×#41×C71C2211yescharacteristic
182#550×C71C2211yescharacteristic
183#550×C71C2211yescharacteristic
184#548×C71C2211yescharacteristic
185#548×C71C2211yescharacteristic
186#546×C71—21no—
187#546×C71—21no—
188#546×C71C2211yescharacteristic
189#546×C71C2211yescharacteristic
190D42×C71—21no—
191D42×C71—21no—
192D42×C71C2211yescharacteristic
193D42×C71C2211yescharacteristic
194#537×C71—21no—
195#537×C71C2211yescharacteristic
196#535×C71—21no—
197#535×C71C2211yescharacteristic
198#525×C71—21no—
199#525×C71C2211yescharacteristic
200C2×#121×C71—21no—
201C2×#121×C71C2211yescharacteristic
202#520×C71C2211yescharacteristic
203C2×#11765865C2311yescharacteristic
204C2×#11765865C2311yescharacteristic
205C22×Dic142C2311yescharacteristic
206C22×Dic142C2311yescharacteristic
207#14556159—42no—
208#14556158—42no—
209#14556158—42no—
210#14556158—42no—
211#14556154—42no—
212#14556154—42no—
213#14556148—42no—
214C2×#11765855C2311yescharacteristic
215C2×#11765855C2311yescharacteristic
216C2×#11765855C2311yescharacteristic
217C2×#11765855C2311yescharacteristic
218C2×#11765855C2311yescharacteristic
219C2×#11765855C2311yescharacteristic
220C2×#11765853—42no—
221C2×#11765853C2311yescharacteristic
222C2×#11765853C2311yescharacteristic
223C2×#11765853C2311yescharacteristic
224C2×#11765853C2311yescharacteristic
225C2×#11765853C2311yescharacteristic
226C2×#11765853C2311yescharacteristic
227C2×#11765853C2311yescharacteristic
228C2×#11765853C2311yescharacteristic
229C2×#11765853C2311yescharacteristic
230C2×#11765853C2311yescharacteristic
231C2×#11765853C2311yescharacteristic
232C2×#11765853C2311yescharacteristic
233C2×#11765852C2311yescharacteristic
234C2×#11765852C2311yescharacteristic
235C2×#11765850C2311yescharacteristic
236C2×#11765850C2311yescharacteristic
237C2×#11765850C2311yescharacteristic
238C2×#11765850C2311yescharacteristic
239C2×#11765849C2311yescharacteristic
240C2×#11765849C2311yescharacteristic
241C2×#11765849C2311yescharacteristic
242C2×#11765849C2311yescharacteristic
243C2×#11765849C2311yescharacteristic
244C2×#11765849C2311yescharacteristic
245C22×C71⋊C8C2311yescharacteristic
246C22×C71⋊C8C2311yescharacteristic
247#14556128C2311yescharacteristic
248#14556128C2311yescharacteristic
249#14556127—21no—
250#14556126—21no—
251#14556123—21no—
252#14556123—21no—
253#14556121—21no—
254#14556121—21no—
255#14556121—21no—
256#14556121—21no—
257#14556121—21no—
258#14556120C2311yescharacteristic
259#14556119—21no—
260#14556118—21no—
261#14556118—21no—
262#14556118—21no—
263#14556116C2311yescharacteristic
264#14556115—21no—
265#14556115—21no—
266#14556114—21no—
267#14556114—21no—
268#14556114—21no—
269#14556111—21no—
270#14556110—21no—
271#14556110—21no—
272#14556110—21no—
273#14556110—21no—
274#14556109—21no—
275#14556109—21no—
276#14556109—21no—
277#14556107—21no—
278#14556107—21no—
279#14556107C2311yescharacteristic
280#14556107C2311yescharacteristic
281#14556107C2311yescharacteristic
282#14556107C2311yescharacteristic
283#14556107C2311yescharacteristic
284#14556107C2311yescharacteristic
285#14556107C2311yescharacteristic
286#14556107C2311yescharacteristic
287#14556107C2311yescharacteristic
288#14556106—21no—
289#14556106—21no—
290#14556106—21no—
291#14556105—21no—
292#14556105—21no—
293#14556105—21no—
294#14556105—21no—
295#14556104—21no—
296#14556102C2311yescharacteristic
297#14556102C2311yescharacteristic
298#14556102C2311yescharacteristic
299#14556100—21no—
300#14556100—21no—
301#14556100—21no—
302#14556100—21no—
303#14556100—21no—
304#14556099—21no—
305#14556099—21no—
306#14556097—21no—
307C4×Dic142C2311yescharacteristic
308C4×Dic142C2311yescharacteristic
309C4×Dic142C2311yescharacteristic
310#14556093—21no—
311C4×D284C2311yescharacteristic
312D4×Dic71—21no—
313D4×Dic71—21no—
314C4×C22⋊D71—21no—
315C4×C22⋊D71—21no—
316(C22⋊D71)⋊C4—21no—
317(C22⋊D71)⋊C4—21no—
318(C22⋊D71)⋊C4—21no—
319#14556087C2311yescharacteristic
320#14556087C2311yescharacteristic
321#14556084—21no—
322C2×C4⋊Dic71C2311yescharacteristic
323C2×C4⋊Dic71C2311yescharacteristic
324C2×Dic71⋊C4—21no—
325C4⋊C4×D71—21no—
326C2×C22⋊Dic71—21no—
327#14556061C2311yescharacteristic
328#14556061C2311yescharacteristic
329#14556061C2311yescharacteristic
330#14556061C2311yescharacteristic
331#14556061C2311yescharacteristic
332#14556061C2311yescharacteristic
333#14556059C2311yescharacteristic
334#14556059C2311yescharacteristic
335C4⋊(C71⋊C8)C2311yescharacteristic
336C4⋊(C71⋊C8)C2311yescharacteristic
337C4⋊(C71⋊C8)C2311yescharacteristic
338C4⋊(C71⋊C8)C2311yescharacteristic
339#14556052C2311yescharacteristic
340#14556052C2311yescharacteristic
341#14556052C2311yescharacteristic
342#14556052C2311yescharacteristic
343#14556052C2311yescharacteristic
344#14556052C2311yescharacteristic
345#14556052C2311yescharacteristic
346#14556052C2311yescharacteristic
347#14556051C2311yescharacteristic
348#14556051C2311yescharacteristic
349#14556051C2311yescharacteristic
350#14556051C2311yescharacteristic
351#14556051C2311yescharacteristic
352#14556051C2311yescharacteristic
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#14556048C2311yescharacteristic
370#14556048C2311yescharacteristic
371C22⋊(C71⋊C8)C2311yescharacteristic
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
380C22⋊(C71⋊C8)C2311yescharacteristic
381C22⋊(C71⋊C8)C2311yescharacteristic
382C22⋊(C71⋊C8)C2311yescharacteristic
383#14556039C2311yescharacteristic
384#14556039C2311yescharacteristic
385C4×C71⋊C8C2311yescharacteristic
386C4×C71⋊C8C2311yescharacteristic
387H(5,𝔽2)×C71—42no—
388H(5,𝔽2)×C71—42no—
389C2×#41×C71—21no—
390C2×#41×C71—21no—
391C2×#41×C71—21no—
392C2×#41×C71—42no—
393C2×#41×C71—42no—
394C2×#41×C71C2311yescharacteristic
395C2×#41×C71C2311yescharacteristic
396C2×#41×C71C2311yescharacteristic
397C2×#41×C71C2311yescharacteristic
398C2×#41×C71C2311yescharacteristic
399C2×#41×C71C2311yescharacteristic
400C2×#41×C71C2311yescharacteristic
401C22×Q8×C71C2311yescharacteristic
402C22×D4×C71—21no—
403C22×D4×C71—21no—
404C22×D4×C71—21no—
405C22×D4×C71—21no—
406C22×D4×C71—21no—
407C22×D4×C71—21no—
408C22×D4×C71—21no—
409C22×D4×C71C2311yescharacteristic
410C22×D4×C71C2311yescharacteristic
411C22×D4×C71C2311yescharacteristic
412C22×D4×C71C2311yescharacteristic
413C23×C4×C71—21no—
414C23×C4×C71C2311yescharacteristic
415#127×C71—21no—
416#127×C71—21no—
417#127×C71C2311yescharacteristic
418#127×C71C2311yescharacteristic
419#124×C71—21no—
420#124×C71—21no—
421#124×C71C2311yescharacteristic
422#124×C71C2311yescharacteristic
423#123×C71—21no—
424#123×C71—21no—
425#123×C71D411yescharacteristic
426#123×C71D411yescharacteristic
427C22⋊Q8×C71—21no—
428C22⋊Q8×C71—21no—
429C22⋊Q8×C71—21no—
430C22⋊Q8×C71D411yescharacteristic
431C22⋊Q8×C71D411yescharacteristic
432C22⋊Q8×C71C2311yescharacteristic
433C22⋊Q8×C71C2311yescharacteristic
434#121×C71—21no—
435#121×C71—21no—
436#121×C71—21no—
437#121×C71—21no—
438#121×C71—21no—
439#121×C71—21no—
440#121×C71—21no—
441#121×C71—21no—
442#121×C71—21no—
443#121×C71—21no—
444#121×C71—21no—
445#121×C71—21no—
446#121×C71—21no—
447#121×C71—21no—
448#121×C71—21no—
449#121×C71—21no—
450#121×C71—21no—
451#121×C71D411yescharacteristic
452#121×C71D411yescharacteristic
453#121×C71C2311yescharacteristic
454#121×C71C2311yescharacteristic
455#121×C71C2311yescharacteristic
456#121×C71C2311yescharacteristic
457#121×C71C2311yescharacteristic
458#121×C71C2311yescharacteristic
459#120×C71—21no—
460#120×C71—21no—
461#120×C71—21no—
462#120×C71—21no—
463#120×C71—21no—
464#120×C71—21no—
465#120×C71—21no—
466#120×C71—21no—
467#120×C71D411yescharacteristic
468#120×C71D411yescharacteristic
469C4×Q8×C71C2311yescharacteristic
470C4×Q8×C71C2311yescharacteristic
471C4×D4×C71—21no—
472C4×D4×C71—21no—
473C4×D4×C71—21no—
474C4×D4×C71—21no—
475C4×D4×C71—21no—
476C4×D4×C71—21no—
477C4×D4×C71C2311yescharacteristic
478C4×D4×C71C2311yescharacteristic
479C4×D4×C71C2311yescharacteristic
480C4×D4×C71C2311yescharacteristic
481C4×D4×C71C2311yescharacteristic
482C4×D4×C71C2311yescharacteristic
483#117×C71—21no—
484#117×C71C2311yescharacteristic
485C2×C4⋊C4×C71—21no—
486C2×C4⋊C4×C71C2311yescharacteristic
487C2×C22⋊C4×C71—21no—
488C2×C22⋊C4×C71—21no—
489C2×C22⋊C4×C71—21no—
490#11765865—41no—
491#11765865—41no—
492#11765865—41no—
493#11765865—41no—
494C2×Dic142—21no—
495C2×Dic142—21no—
496C2×Dic142—21no—
497C2×Dic142—41no—
498C2×Dic142—41no—
499C2×Dic142—41no—
500C2×Dic142—41no—
501C2×Dic142C2411yescharacteristic
502C2×Dic142C2411yescharacteristic
503C2×Dic142C2411yescharacteristic
504C2×D284C2411yescharacteristic
505C2×C22⋊D71—21no—
506C2×C22⋊D71—21no—
507C2×C22⋊D71—21no—
508C2×C22⋊D71—21no—
509C2×C22⋊D71—21no—
510C22×Dic71—21no—
511C22×Dic71—21no—
512C22×Dic71—21no—
513C22×Dic71—21no—
514C2×C4×D71—21no—
515C2×C4×D71—21no—
516C2×C4×D71—21no—
517#11765855—22no—
518#11765855—22no—
519#11765855—22no—
520#11765855—41no—
521#11765855—41no—
522#11765855—41no—
523#11765853—22no—
524#11765853—22no—
525#11765853—22no—
526#11765853—41no—
527#11765853—41no—
528#11765853—41no—
529#11765853—41no—
530#11765853—41no—
531#11765853—41no—
532#11765853—41no—
533#11765853—41no—
534#11765853—41no—
535#11765852—22no—
536#11765852—41no—
537#11765850—22no—
538#11765850—41no—
539#11765850—41no—
540#11765850—41no—
541#11765849—41no—
542#11765849—41no—
543#11765849—41no—
544#11765849—41no—
545#11765849—41no—
546#11765849—41no—
547C2×C71⋊C8—41no—
548C2×C71⋊C8—41no—
549C2×C71⋊C8C2411yescharacteristic
550C2×C71⋊C8C2411yescharacteristic
551C2×C71⋊C8C2411yescharacteristic
552C2×C71⋊C8C2411yescharacteristic
553C2×C71⋊C8C2411yescharacteristic
554C2×C71⋊C8C2411yescharacteristic
555C2×C71⋊C8C2411yescharacteristic
556C2×C71⋊C8C2411yescharacteristic
557C4⋊Dic71—21no—
558C4⋊Dic71—21no—
559C4⋊Dic71—21no—
560C4⋊Dic71—21no—
561C4⋊Dic71—21no—
562C4⋊Dic71C2411yescharacteristic
563C4⋊Dic71C2411yescharacteristic
564C4⋊Dic71C2411yescharacteristic
565C4⋊Dic71C2411yescharacteristic
566Dic71⋊C4—21no—
567Dic71⋊C4—21no—
568Dic71⋊C4—21no—
569Dic71⋊C4—21no—
570Dic71⋊C4—21no—
571Dic71⋊C4—21no—
572Dic71⋊C4—21no—
573Dic71⋊C4—21no—
574Dic71⋊C4—21no—
575Dic71⋊C4—21no—
576Dic71⋊C4—21no—
577Dic71⋊C4—21no—
578Dic71⋊C4—21no—
579Dic71⋊C4—21no—
580C22⋊Dic71—21no—
581C22⋊Dic71—21no—
582C22⋊Dic71—21no—
583C22⋊Dic71—21no—
584C22⋊Dic71—21no—
585C22⋊Dic71—21no—
586C22⋊Dic71—21no—
587C22⋊Dic71—21no—
588C22⋊Dic71—21no—
589C22⋊Dic71—21no—
590C22⋊Dic71—21no—
591(C2×D71)⋊C4—21no—
592(C2×D71)⋊C4—21no—
593(C2×D71)⋊C4—21no—
594(C2×D71)⋊C4—21no—
595(C2×D71)⋊C4—21no—
596(C2×D71)⋊C4—21no—
597C4×Dic71—21no—
598C4×Dic71—21no—
599C4×Dic71—21no—
600C4×Dic71—21no—
601C4×Dic71—21no—
602C24×C71—21no—
603C24×C71—21no—
604C24×C71—21no—
605C24×C71—21no—
606C24×C71C2×D411yescharacteristic
607#41×C71—22no—
608#41×C71—22no—
609#41×C71—22no—
610#41×C71—22no—
611#41×C71—22no—
612#41×C71—22no—
613#41×C71—41no—
614#41×C71—41no—
615#41×C71—41no—
616#41×C71—41no—
617#41×C71—41no—
618#41×C71—41no—
619#41×C71—41no—
620#41×C71—41no—
621#41×C71—44no—
622#41×C71—44no—
623#41×C71—44no—
624C2×Q8×C71—21no—
625C2×Q8×C71—22no—
626C2×Q8×C71—41no—
627C2×Q8×C71C2×D411yescharacteristic
628C2×Q8×C71C2411yescharacteristic
629C2×Q8×C71C2411yescharacteristic
630C2×D4×C71—21no—
631C2×D4×C71—22no—
632C2×D4×C71—22no—
633C2×D4×C71—22no—
634C2×D4×C71—21no—
635C2×D4×C71—21no—
636C2×D4×C71—21no—
637C2×D4×C71—21no—
638C2×D4×C71—21no—
639C2×D4×C71—21no—
640C2×D4×C71—21no—
641C2×D4×C71—21no—
642C2×D4×C71—21no—
643C2×D4×C71—21no—
644C2×D4×C71—21no—
645C2×D4×C71—21no—
646C2×D4×C71—21no—
647C2×D4×C71—21no—
648C2×D4×C71—21no—
649C2×D4×C71—21no—
650C2×D4×C71—21no—
651C2×D4×C71—21no—
652C2×D4×C71—21no—
653C2×D4×C71—41no—
654C2×D4×C71—41no—
655C2×D4×C71—41no—
656C2×D4×C71—41no—
657C2×D4×C71—41no—
658C2×D4×C71—44no—
659C2×D4×C71—44no—
660C2×D4×C71—44no—
661C2×D4×C71—44no—
662C2×D4×C71—82no—
663C2×D4×C71—82no—
664C2×D4×C71—82no—
665C2×D4×C71C2×D411yescharacteristic
666C2×D4×C71C2×D411yescharacteristic
667C2×D4×C71C2×D411yescharacteristic
668C2×D4×C71C2×D411yescharacteristic
669C2×D4×C71C2×D411yescharacteristic
670C2×D4×C71C2×D411yescharacteristic
671C2×D4×C71C2×D411yescharacteristic
672C2×D4×C71C2411yescharacteristic
673C2×D4×C71C2411yescharacteristic
674C2×D4×C71C2411yescharacteristic
675C2×D4×C71C2411yescharacteristic
676C22×C4×C71—21no—
677C22×C4×C71—21no—
678C22×C4×C71—21no—
679C22×C4×C71—21no—
680C22×C4×C71—21no—
681C22×C4×C71—21no—
682C22×C4×C71—21no—
683C22×C4×C71—21no—
684C22×C4×C71—21no—
685C22×C4×C71—21no—
686C22×C4×C71—41no—
687C22×C4×C71—41no—
688C22×C4×C71—44no—
689C22×C4×C71C2×D411yescharacteristic
690C22×C4×C71C2×D411yescharacteristic
691C22×C4×C71C2×D411yescharacteristic
692C22×C4×C71C2411yescharacteristic
693C22×C4×C71C2411yescharacteristic
694C22×C4×C71C2411yescharacteristic
695C22×C4×C71C2411yescharacteristic
696C22×C4×C71C2411yescharacteristic
697C4⋊C4×C71—21no—
698C4⋊C4×C71—21no—
699C4⋊C4×C71—21no—
700C4⋊C4×C71—21no—
701C4⋊C4×C71—21no—
702C4⋊C4×C71C2×D411yescharacteristic
703C4⋊C4×C71C2×D411yescharacteristic
704C4⋊C4×C71C2×D411yescharacteristic
705C4⋊C4×C71C2×D411yescharacteristic
706C4⋊C4×C71C2×D411yescharacteristic
707C4⋊C4×C71C2×D411yescharacteristic
708C4⋊C4×C71C2411yescharacteristic
709C4⋊C4×C71C2411yescharacteristic
710C22⋊C4×C71—21no—
711C22⋊C4×C71—21no—
712C22⋊C4×C71—21no—
713C22⋊C4×C71—21no—
714C22⋊C4×C71—21no—
715C22⋊C4×C71—21no—
716C22⋊C4×C71—21no—
717C22⋊C4×C71—21no—
718C22⋊C4×C71—21no—
719C22⋊C4×C71—21no—
720C22⋊C4×C71—21no—
721C22⋊C4×C71—21no—
722C22⋊C4×C71—21no—
723C22⋊C4×C71—21no—
724C22⋊C4×C71C2×D411yescharacteristic
725C22⋊C4×C71C2×D411yescharacteristic
726C22⋊C4×C71C2×D411yescharacteristic
727C22⋊C4×C71C2×D411yescharacteristic
728C22⋊C4×C71C2×D411yescharacteristic
729C22⋊C4×C71C2×D411yescharacteristic
730C22⋊C4×C71C2×D411yescharacteristic
731C22⋊C4×C71C2×D411yescharacteristic
732C22⋊C4×C71C2×D411yescharacteristic
733C22⋊C4×C71C2×D411yescharacteristic
734C42×C71—21no—
735C42×C71—21no—
736C42×C71C2411yescharacteristic
737C42×C71C2411yescharacteristic
738C23×C71—21no—
739C23×C71—21no—
740C23×C71—21no—
741C23×C71—21no—
742C23×C71—41no—
743C23×C71—41no—
744C23×C71—41no—
745C23×C71—42no—
746C23×C71—42no—
747C23×C71—42no—
748C23×C71—42no—
749C23×C71—42no—
750C23×C71—81no—
751C23×C71—81no—
752C23×C71—81no—
753C23×C71—81no—
754C23×C71—81no—
755C23×C71—81no—
756C23×C71—81no—
757C23×C71C22×D411yescharacteristic
758C23×C71C22×D411yescharacteristic
759C23×C71C22×D411yescharacteristic
760C23×C71C22×D411yescharacteristic
761C23×C71C22×D411yescharacteristic
762C22×D71—21no—
763Q8×C71—21no—
764Q8×C71—21no—
765Q8×C71—21no—
766Q8×C71—41no—
767Q8×C71—42no—
768Q8×C71H(5,𝔽2)12yes—
769D4×C71—24no—
770D4×C71—21no—
771D4×C71—21no—
772D4×C71—21no—
773D4×C71—21no—
774D4×C71—21no—
775D4×C71—21no—
776D4×C71—21no—
777D4×C71—41no—
778D4×C71—41no—
779D4×C71—41no—
780D4×C71—41no—
781D4×C71—41no—
782D4×C71—41no—
783D4×C71—41no—
784D4×C71—42no—
785D4×C71—42no—
786D4×C71—42no—
787D4×C71—42no—
788D4×C71—42no—
789D4×C71—42no—
790D4×C71—42no—
791D4×C71—42no—
792D4×C71—42no—
793D4×C71—42no—
794D4×C71—42no—
795D4×C71—81no—
796D4×C71—81no—
797D4×C71—81no—
798D4×C71—81no—
799D4×C71—81no—
800D4×C71—81no—
801D4×C71—81no—
802D4×C71—81no—
803D4×C71H(5,𝔽2)12yes—
804C2×C4×C71—24no—
805C2×C4×C71—21no—
806C2×C4×C71—21no—
807C2×C4×C71—21no—
808C2×C4×C71—21no—
809C2×C4×C71—21no—
810C2×C4×C71—21no—
811C2×C4×C71—21no—
812C2×C4×C71—21no—
813C2×C4×C71—21no—
814C2×C4×C71—21no—
815C2×C4×C71—21no—
816C2×C4×C71—21no—
817C2×C4×C71—21no—
818C2×C4×C71—21no—
819C2×C4×C71—41no—
820C2×C4×C71—41no—
821C2×C4×C71—41no—
822C2×C4×C71—42no—
823C2×C4×C71—42no—
824C2×C4×C71—42no—
825C2×C4×C71—42no—
826C2×C4×C71—42no—
827C2×C4×C71—42no—
828C2×C4×C71—81no—
829C2×C4×C71—81no—
830C2×C4×C71—81no—
831C2×C4×C71C22×D411yescharacteristic
832C2×C4×C71C22×D411yescharacteristic
833C2×C4×C71C22×D411yescharacteristic
834C2×C4×C71C22×D411yescharacteristic
835C2×C4×C71C22×D411yescharacteristic
836C2×C4×C71C22×D411yescharacteristic
837C2×C4×C71C22×D411yescharacteristic
838C2×C4×C71C22×D411yescharacteristic
839C2×C4×C71C22×D411yescharacteristic
840C2×C4×C71C2511yescharacteristic
841C22⋊D71—42no—
842C22⋊D71—81no—
843C22⋊D71—81no—
844C22⋊D71—81no—
845C22⋊D71—81no—
846C2×Dic71—21no—
847C2×Dic71—21no—
848C2×Dic71—21no—
849C2×Dic71—21no—
850C2×Dic71—21no—
851C2×Dic71—21no—
852C2×Dic71—21no—
853C2×Dic71—81no—
854C2×Dic71—81no—
855C2×Dic71—81no—
856C2×Dic71—81no—
857D284—21no—
858D284—21no—
859C4×D71—81no—
860C4×D71—81no—
861C4×D71—81no—
862Dic142—21no—
863Dic142—21no—
864Dic142—21no—
865Dic142—21no—
866Dic142—21no—
867Dic142—21no—
868Dic142—81no—
869Dic142—81no—
870Dic142—81no—
871C71⋊C8—21no—
872C71⋊C8—21no—
873C71⋊C8—21no—
874C71⋊C8—21no—
875C71⋊C8—21no—
876C71⋊C8—21no—
877C71⋊C8—21no—
878C71⋊C8—21no—
879C22×C71—21no—
880C22×C71—21no—
881C22×C71—21no—
882C22×C71—21no—
883C22×C71—21no—
884C22×C71—21no—
885C22×C71—21no—
886C22×C71—21no—
887C22×C71—21no—
888C22×C71—21no—
889C22×C71—21no—
890C22×C71—21no—
891C22×C71—21no—
892C22×C71—21no—
893C22×C71—21no—
894C22×C71—22no—
895C22×C71—41no—
896C22×C71—41no—
897C22×C71—41no—
898C22×C71—41no—
899C22×C71—41no—
900C22×C71—41no—
901C22×C71—41no—
902C22×C71—41no—
903C22×C71—41no—
904C22×C71—41no—
905C22×C71—41no—
906C22×C71—82no—
907C22×C71—84no—
908C22×C71—162no—
909C22×C71—162no—
910C22×C71—162no—
911C22×C71C23×D411yescharacteristic
912C2×D71—41no—
913C2×D71—41no—
914C2×D71—41no—
915C4×C71—21no—
916C4×C71—21no—
917C4×C71—21no—
918C4×C71—21no—
919C4×C71—21no—
920C4×C71—21no—
921C4×C71—21no—
922C4×C71—21no—
923C4×C71—21no—
924C4×C71—22no—
925C4×C71—41no—
926C4×C71—41no—
927C4×C71—41no—
928C4×C71C2×H(5,𝔽2)11yescharacteristic
929C4×C71C2×H(5,𝔽2)11yescharacteristic
930Dic71—41no—
931Dic71—41no—
932Dic71—41no—
933Dic71—41no—
934Dic71—41no—
935Dic71—41no—
936Dic71—41no—
937#61654—711nomaximal, Sylow
938C2×C71—41no—
939C2×C71—41no—
940C2×C71—41no—
941C2×C71—41no—
942C2×C71—41no—
943C2×C71—42no—
944C2×C71—81no—
945C2×C71—81no—
946C2×C71—81no—
947C2×C71#348411yescharacteristic
948C2×C71#358511yescharacteristic
949C2×C71#358611yescharacteristic
950D71—81no—
951#3541—711no—
952#3488D7111yescharacteristic, complemented
953#3333—711no—
954#3327—711no—
955#3324—711no—
956#3322—711no—
957#3314—711no—
958#3313—711no—
959#3310—711no—
960#3309—711no—
961#3278—711no—
962#3277—711no—
963#3275—711no—
964#3272—711no—
965#3271—711no—
966#3269—711no—
967#3266—711no—
968#3265—711no—
969#3224—711no—
970#3222—711no—
971#3203—711no—
972#3201—711no—
973#3194—711no—
974#3193—711no—
975#3124—711no—
976#3120—711no—
977#3012—711no—
978#3009—711no—
979#3007—711no—
980#3005—711no—
981#2978—711no—
982C71#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)C2×D7111yescharacteristic
984C22×#41C2×D7111yescharacteristic
985C2×#137—711no—
986C2×#137—711no—
987C2×#137—711no—
988C2×#137—711no—
989C2×AGL(1,ℤ/8)—711no—
990C2×AGL(1,ℤ/8)—711no—
991C2×#135—711no—
992C22×SD16—711no—
993#563—1421no—
994#562—1421no—
995#556—711no—
996#554—711no—
997#554—1421no—
998#553—711no—
999#553—1421no—
1000#552—711no—
1001#550C2×D7111yescharacteristic
1002#550C2×D7111yescharacteristic
1003D4×Q8—711no—
1004#548—711no—
1005#548—711no—
1006#548C2×D7111yescharacteristic
1007#548C2×D7111yescharacteristic
1008#547—711no—
1009#546—21no—
1010#546—21no—
1011#546C2×D7111yescharacteristic
1012#546C2×D7111yescharacteristic
1013D42—21no—
1014D42—21no—
1015D42C2×D7111yescharacteristic
1016D42C2×D7111yescharacteristic
1017#542—711no—
1018#542—1421no—
1019#541—711no—
1020#539—1421no—
1021#538—1421no—
1022#538—1421no—
1023#537—21no—
1024#537—711no—
1025#537C2×D7111yescharacteristic
1026#536—711no—
1027#535—21no—
1028#535C2×D7111yescharacteristic
1029#525—21no—
1030#525—711no—
1031#525C2×D7111yescharacteristic
1032C2×C22⋊Q8—711no—
1033C2×#121—21no—
1034C2×#121C2×D7111yescharacteristic
1035#520C2×D7111yescharacteristic
1036#497—711no—
1037#496—711no—
1038#495—711no—
1039#492—711no—
1040#490—711no—
1041#489—711no—
1042#488—711no—
1043#486—711no—
1044#485—711no—
1045#484—711no—
1046#484—711no—
1047#484—711no—
1048#483—711no—
1049#482—711no—
1050#482—711no—
1051#482—711no—
1052#480—711no—
1053#480—711no—
1054#480—711no—
1055#480—711no—
1056#479—711no—
1057#478—711no—
1058#477—711no—
1059#474—711no—
1060#470—711no—
1061#469—711no—
1062#469—711no—
1063#468—711no—
1064#468—711no—
1065#468—711no—
1066#468—711no—
1067#468—711no—
1068#468—711no—
1069#468—711no—
1070#468—711no—
1071#468—711no—
1072#467—711no—
1073#467—711no—
1074#466—711no—
1075#465—711no—
1076#464—711no—
1077#464—711no—
1078#464—711no—
1079#464—711no—
1080#463—711no—
1081#463—711no—
1082#462—711no—
1083#461—711no—
1084#460—711no—
1085#460—711no—
1086#460—711no—
1087#459—711no—
1088#452—711no—
1089#452—711no—
1090#452—711no—
1091#452—711no—
1092#452—711no—
1093#452—711no—
1094#452—711no—
1095#452—711no—
1096#452—711no—
1097#452—711no—
1098#452—711no—
1099#452—711no—
1100#451—711no—
1101#451—711no—
1102#451—711no—
1103#450—711no—
1104#450—711no—
1105#450—711no—
1106#450—711no—
1107#450—711no—
1108#450—711no—
1109#450—711no—
1110#450—711no—
1111#449—711no—
1112#449—711no—
1113#449—711no—
1114#449—711no—
1115#449—711no—
1116#449—711no—
1117#449—711no—
1118#449—711no—
1119#448—711no—
1120#448—711no—
1121#448—711no—
1122#447—711no—
1123#447—711no—
1124#441—711no—
1125#440—711no—
1126#440—711no—
1127#440—711no—
1128C4×Q16—711no—
1129C4×Q16—711no—
1130C4×SD16—711no—
1131C4×D8—711no—
1132#436—711no—
1133#436—711no—
1134#436—711no—
1135#436—711no—
1136#435—711no—
1137#435—711no—
1138#435—711no—
1139#435—711no—
1140#433—711no—
1141#433—711no—
1142#419—711no—
1143#418—711no—
1144#418—711no—
1145#417—711no—
1146#417—711no—
1147#417—711no—
1148#416—711no—
1149C2×#102—711no—
1150#408—711no—
1151#408—711no—
1152#407—711no—
1153#407—711no—
1154H(5,𝔽2)—42no—
1155H(5,𝔽2)—42no—
1156C2×#41—21no—
1157C2×#41—21no—
1158C2×#41—21no—
1159C2×#41—42no—
1160C2×#41—42no—
1161C2×#41—711no—
1162C2×#41—711no—
1163C2×#41C22×D7111yescharacteristic
1164C2×#41C22×D7111yescharacteristic
1165C2×#41C22×D7111yescharacteristic
1166C2×#41C22×D7111yescharacteristic
1167C2×#41C22×D7111yescharacteristic
1168C2×#41C22×D7111yescharacteristic
1169C2×#41C22×D7111yescharacteristic
1170C22×Q8—711no—
1171C22×Q8—711no—
1172C22×Q8C22×D7111yescharacteristic
1173C22×D4—21no—
1174C22×D4—21no—
1175C22×D4—21no—
1176C22×D4—21no—
1177C22×D4—21no—
1178C22×D4—21no—
1179C22×D4—21no—
1180C22×D4C22×D7111yescharacteristic
1181C22×D4C22×D7111yescharacteristic
1182C22×D4C22×D7111yescharacteristic
1183C22×D4C22×D7111yescharacteristic
1184C23×C4—21no—
1185C23×C4C22×D7111yescharacteristic
1186#137—2842no—
1187#137—2842no—
1188#137—2842no—
1189#137—2842no—
1190AGL(1,ℤ/8)—2842no—
1191AGL(1,ℤ/8)—2842no—
1192#135—2842no—
1193C2×Q16—711no—
1194C2×Q16—711no—
1195C2×Q16—711no—
1196C2×Q16—711no—
1197C2×Q16—711no—
1198C2×Q16—711no—
1199C2×SD16—2842no—
1200C2×SD16—711no—
1201C2×SD16—711no—
1202C2×SD16—711no—
1203C2×SD16—711no—
1204C2×SD16—711no—
1205C2×SD16—711no—
1206C2×SD16—711no—
1207C2×SD16—711no—
1208C2×SD16—711no—
1209C2×SD16—711no—
1210C2×SD16—711no—
1211C2×SD16—711no—
1212C2×SD16—711no—
1213C2×SD16—711no—
1214C2×D8—711no—
1215C2×D8—711no—
1216C2×D8—711no—
1217C2×D8—711no—
1218C2×M16—711no—
1219C2×M16—711no—
1220C2×M16—711no—
1221C2×M16—711no—
1222C2×M16—711no—
1223C2×M16—711no—
1224C22×C8—711no—
1225C22×C8—711no—
1226C4⋊Q8—711no—
1227C4⋊Q8—711no—
1228C4⋊Q8—1421no—
1229C4⋊Q8—1421no—
1230#127—21no—
1231#127—21no—
1232#127C22×D7111yescharacteristic
1233#127C22×D7111yescharacteristic
1234#126—1421no—
1235#126—1421no—
1236#126—1421no—
1237#126—1421no—
1238#126—1421no—
1239#126—1421no—
1240#126—1421no—
1241#125—711no—
1242#125—1421no—
1243#125—1421no—
1244#125—1421no—
1245#125—1421no—
1246#124—21no—
1247#124—21no—
1248#124—711no—
1249#124—1421no—
1250#124—1421no—
1251#124—1421no—
1252#124—1421no—
1253#124—1421no—
1254#124C22×D7111yescharacteristic
1255#124C22×D7111yescharacteristic
1256#123—21no—
1257#123—21no—
1258#123—1421no—
1259#123—1421no—
1260#123—1421no—
1261#123—1421no—
1262#123—1421no—
1263#123—1421no—
1264#123—1421no—
1265#123—1421no—
1266#123C22⋊D7111yescharacteristic
1267#123C22⋊D7111yescharacteristic
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—711no—
1272C22⋊Q8—711no—
1273C22⋊Q8—711no—
1274C22⋊Q8—711no—
1275C22⋊Q8—711no—
1276C22⋊Q8—711no—
1277C22⋊Q8—711no—
1278C22⋊Q8—711no—
1279C22⋊Q8—711no—
1280C22⋊Q8—1421no—
1281C22⋊Q8—1421no—
1282C22⋊Q8—1421no—
1283C22⋊Q8—1421no—
1284C22⋊Q8—1421no—
1285C22⋊Q8—1421no—
1286C22⋊Q8—1421no—
1287C22⋊Q8—1421no—
1288C22⋊Q8—1421no—
1289C22⋊Q8—1421no—
1290C22⋊Q8C22⋊D7111yescharacteristic
1291C22⋊Q8C22⋊D7111yescharacteristic
1292C22⋊Q8C22×D7111yescharacteristic
1293C22⋊Q8C22×D7111yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—711no—
1312#121—711no—
1313#121—711no—
1314#121—1421no—
1315#121—1421no—
1316#121—1421no—
1317#121—1421no—
1318#121—1421no—
1319#121—1421no—
1320#121—1421no—
1321#121C22⋊D7111yescharacteristic
1322#121C22⋊D7111yescharacteristic
1323#121C22×D7111yescharacteristic
1324#121C22×D7111yescharacteristic
1325#121C22×D7111yescharacteristic
1326#121C22×D7111yescharacteristic
1327#121C22×D7111yescharacteristic
1328#121C22×D7111yescharacteristic
1329#120—21no—
1330#120—21no—
1331#120—21no—
1332#120—21no—
1333#120—21no—
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—1421no—
1338#120C22⋊D7111yescharacteristic
1339#120C22⋊D7111yescharacteristic
1340C4×Q8—711no—
1341C4×Q8—711no—
1342C4×Q8—711no—
1343C4×Q8—1421no—
1344C4×Q8C22×D7111yescharacteristic
1345C4×Q8C22×D7111yescharacteristic
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4—21no—
1352C4×D4—711no—
1353C4×D4—1421no—
1354C4×D4—1421no—
1355C4×D4—1421no—
1356C4×D4—1421no—
1357C4×D4—1421no—
1358C4×D4—1421no—
1359C4×D4—1421no—
1360C4×D4C22×D7111yescharacteristic
1361C4×D4C22×D7111yescharacteristic
1362C4×D4C22×D7111yescharacteristic
1363C4×D4C22×D7111yescharacteristic
1364C4×D4C22×D7111yescharacteristic
1365C4×D4C22×D7111yescharacteristic
1366#117—21no—
1367#117—711no—
1368#117—711no—
1369#117—1421no—
1370#117C22×D7111yescharacteristic
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—711no—
1373C2×C4⋊C4—711no—
1374C2×C4⋊C4—1421no—
1375C2×C4⋊C4—1421no—
1376C2×C4⋊C4C22×D7111yescharacteristic
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—21no—
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—1421no—
1381#107—711no—
1382#107—711no—
1383#107—711no—
1384#107—711no—
1385#107—711no—
1386#107—711no—
1387#106—711no—
1388#106—711no—
1389C4⋊C8—711no—
1390C4⋊C8—711no—
1391C4⋊C8—711no—
1392C4⋊C8—711no—
1393#103—711no—
1394#103—711no—
1395#103—711no—
1396#103—711no—
1397#103—711no—
1398#103—711no—
1399#103—711no—
1400#103—711no—
1401#103—711no—
1402#103—711no—
1403#103—711no—
1404#103—711no—
1405#103—711no—
1406#103—711no—
1407#102—711no—
1408#102—711no—
1409#102—711no—
1410#102—711no—
1411#102—711no—
1412#102—711no—
1413#102—711no—
1414#102—711no—
1415#102—711no—
1416#102—711no—
1417#102—711no—
1418#102—711no—
1419#102—711no—
1420#102—711no—
1421#102—711no—
1422#102—711no—
1423#102—711no—
1424#102—711no—
1425C22⋊C8—711no—
1426C22⋊C8—711no—
1427C22⋊C8—711no—
1428C22⋊C8—711no—
1429C22⋊C8—711no—
1430C22⋊C8—711no—
1431C22⋊C8—711no—
1432C22⋊C8—711no—
1433C22⋊C8—711no—
1434C22⋊C8—711no—
1435C22⋊C8—711no—
1436C22⋊C8—711no—
1437#97—711no—
1438#97—711no—
1439C4×C8—711no—
1440C4×C8—711no—
1441C24—21no—
1442C24—21no—
1443C24—21no—
1444C24—21no—
1445C24C2×C22⋊D7111yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—22no—
1451#41—22no—
1452#41—41no—
1453#41—41no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—44no—
1461#41—44no—
1462#41—44no—
1463#41—2841no—
1464#41—2841no—
1465#41—2841no—
1466#41—2841no—
1467C2×Q8—21no—
1468C2×Q8—22no—
1469C2×Q8—41no—
1470C2×Q8—2841no—
1471C2×Q8—2841no—
1472C2×Q8—2841no—
1473C2×Q8—2841no—
1474C2×Q8—711no—
1475C2×Q8—711no—
1476C2×Q8—711no—
1477C2×Q8—1421no—
1478C2×Q8—1421no—
1479C2×Q8—1421no—
1480C2×Q8C2×C22⋊D7111yescharacteristic
1481C2×Q8C23×D7111yescharacteristic
1482C2×Q8C23×D7111yescharacteristic
1483C2×D4—21no—
1484C2×D4—22no—
1485C2×D4—22no—
1486C2×D4—22no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—44no—
1512C2×D4—44no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—82no—
1516C2×D4—82no—
1517C2×D4—82no—
1518C2×D4—711no—
1519C2×D4—1421no—
1520C2×D4—1421no—
1521C2×D4—1421no—
1522C2×D4—1421no—
1523C2×D4—1421no—
1524C2×D4C2×C22⋊D7111yescharacteristic
1525C2×D4C2×C22⋊D7111yescharacteristic
1526C2×D4C2×C22⋊D7111yescharacteristic
1527C2×D4C2×C22⋊D7111yescharacteristic
1528C2×D4C2×C22⋊D7111yescharacteristic
1529C2×D4C2×C22⋊D7111yescharacteristic
1530C2×D4C2×C22⋊D7111yescharacteristic
1531C2×D4C23×D7111yescharacteristic
1532C2×D4C23×D7111yescharacteristic
1533C2×D4C23×D7111yescharacteristic
1534C2×D4C23×D7111yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—21no—
1543C22×C4—21no—
1544C22×C4—21no—
1545C22×C4—41no—
1546C22×C4—41no—
1547C22×C4—44no—
1548C22×C4—1421no—
1549C22×C4—1421no—
1550C22×C4—1421no—
1551C22×C4—1421no—
1552C22×C4—1421no—
1553C22×C4—1421no—
1554C22×C4—1421no—
1555C22×C4C2×C22⋊D7111yescharacteristic
1556C22×C4C2×C22⋊D7111yescharacteristic
1557C22×C4C2×C22⋊D7111yescharacteristic
1558C22×C4C23×D7111yescharacteristic
1559C22×C4C23×D7111yescharacteristic
1560C22×C4C23×D7111yescharacteristic
1561C22×C4C23×D7111yescharacteristic
1562C22×C4C23×D7111yescharacteristic
1563Q16—2841no—
1564Q16—2841no—
1565Q16—2841no—
1566Q16—1422no—
1567Q16—1422no—
1568Q16—1422no—
1569SD16—2841no—
1570SD16—2841no—
1571SD16—2841no—
1572SD16—2841no—
1573SD16—2841no—
1574SD16—2841no—
1575SD16—2841no—
1576SD16—2841no—
1577SD16—2841no—
1578SD16—2841no—
1579SD16—1422no—
1580SD16—1422no—
1581SD16—1422no—
1582SD16—1422no—
1583D8—2841no—
1584D8—2841no—
1585D8—2841no—
1586D8—1422no—
1587M16—2841no—
1588M16—2841no—
1589M16—2841no—
1590M16—2841no—
1591M16—2841no—
1592M16—2841no—
1593C2×C8—2841no—
1594C2×C8—2841no—
1595C2×C8—711no—
1596C2×C8—711no—
1597C2×C8—711no—
1598C2×C8—711no—
1599C2×C8—711no—
1600C2×C8—711no—
1601C2×C8—711no—
1602C2×C8—711no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—711no—
1609C4⋊C4—711no—
1610C4⋊C4—711no—
1611C4⋊C4—711no—
1612C4⋊C4—1421no—
1613C4⋊C4—1421no—
1614C4⋊C4—1421no—
1615C4⋊C4—1421no—
1616C4⋊C4—1421no—
1617C4⋊C4—1421no—
1618C4⋊C4—1421no—
1619C4⋊C4—1421no—
1620C4⋊C4—1421no—
1621C4⋊C4—1421no—
1622C4⋊C4—1421no—
1623C4⋊C4—1421no—
1624C4⋊C4—1421no—
1625C4⋊C4—1421no—
1626C4⋊C4—1421no—
1627C4⋊C4—1421no—
1628C4⋊C4—1421no—
1629C4⋊C4—1421no—
1630C4⋊C4—1421no—
1631C4⋊C4C2×C22⋊D7111yescharacteristic
1632C4⋊C4C2×C22⋊D7111yescharacteristic
1633C4⋊C4C2×C22⋊D7111yescharacteristic
1634C4⋊C4C2×C22⋊D7111yescharacteristic
1635C4⋊C4C2×C22⋊D7111yescharacteristic
1636C4⋊C4C2×C22⋊D7111yescharacteristic
1637C4⋊C4C23×D7111yescharacteristic
1638C4⋊C4C23×D7111yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—1421no—
1654C22⋊C4—1421no—
1655C22⋊C4—1421no—
1656C22⋊C4—1421no—
1657C22⋊C4—1421no—
1658C22⋊C4—1421no—
1659C22⋊C4—1421no—
1660C22⋊C4—1421no—
1661C22⋊C4—1421no—
1662C22⋊C4—1421no—
1663C22⋊C4—1421no—
1664C22⋊C4—1421no—
1665C22⋊C4—1421no—
1666C22⋊C4—1421no—
1667C22⋊C4—1421no—
1668C22⋊C4—1421no—
1669C22⋊C4—1421no—
1670C22⋊C4C2×C22⋊D7111yescharacteristic
1671C22⋊C4C2×C22⋊D7111yescharacteristic
1672C22⋊C4C2×C22⋊D7111yescharacteristic
1673C22⋊C4C2×C22⋊D7111yescharacteristic
1674C22⋊C4C2×C22⋊D7111yescharacteristic
1675C22⋊C4C2×C22⋊D7111yescharacteristic
1676C22⋊C4C2×C22⋊D7111yescharacteristic
1677C22⋊C4C2×C22⋊D7111yescharacteristic
1678C22⋊C4C2×C22⋊D7111yescharacteristic
1679C22⋊C4C2×C22⋊D7111yescharacteristic
1680C42—21no—
1681C42—21no—
1682C42—1421no—
1683C42—1421no—
1684C42—1421no—
1685C42—1421no—
1686C42—1421no—
1687C42C23×D7111yescharacteristic
1688C42C23×D7111yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—42no—
1697C23—42no—
1698C23—42no—
1699C23—42no—
1700C23—42no—
1701C23—81no—
1702C23—81no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—1421no—
1709C23C22×C22⋊D7111yescharacteristic
1710C23C22×C22⋊D7111yescharacteristic
1711C23C22×C22⋊D7111yescharacteristic
1712C23C22×C22⋊D7111yescharacteristic
1713C23C22×C22⋊D7111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—41no—
1718Q8—42no—
1719Q8—5681no—
1720Q8—5681no—
1721Q8—5681no—
1722Q8—1421no—
1723Q8—1421no—
1724Q8—1421no—
1725Q8—1421no—
1726Q8—1421no—
1727Q8—1421no—
1728Q8#1455617312yes—
1729D4—24no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—41no—
1738D4—41no—
1739D4—41no—
1740D4—41no—
1741D4—41no—
1742D4—41no—
1743D4—41no—
1744D4—42no—
1745D4—42no—
1746D4—42no—
1747D4—42no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—42no—
1752D4—42no—
1753D4—42no—
1754D4—42no—
1755D4—81no—
1756D4—81no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—2842no—
1764D4—5681no—
1765D4—5681no—
1766D4—5681no—
1767D4—5681no—
1768D4—1421no—
1769D4—1421no—
1770D4#1455617312yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—42no—
1792C2×C4—42no—
1793C2×C4—42no—
1794C2×C4—42no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4—5681no—
1799C2×C4—5681no—
1800C2×C4—5681no—
1801C2×C4—5681no—
1802C2×C4—5681no—
1803C2×C4—5681no—
1804C2×C4—5681no—
1805C2×C4—1421no—
1806C2×C4—1421no—
1807C2×C4—1421no—
1808C2×C4—1421no—
1809C2×C4—1421no—
1810C2×C4—1421no—
1811C2×C4—1421no—
1812C2×C4C22×C22⋊D7111yescharacteristic
1813C2×C4C22×C22⋊D7111yescharacteristic
1814C2×C4C22×C22⋊D7111yescharacteristic
1815C2×C4C22×C22⋊D7111yescharacteristic
1816C2×C4C22×C22⋊D7111yescharacteristic
1817C2×C4C22×C22⋊D7111yescharacteristic
1818C2×C4C22×C22⋊D7111yescharacteristic
1819C2×C4C22×C22⋊D7111yescharacteristic
1820C2×C4C22×C22⋊D7111yescharacteristic
1821C2×C4C24×D7111yescharacteristic
1822C8—1421no—
1823C8—1421no—
1824C8—1421no—
1825C8—1421no—
1826C8—1421no—
1827C8—1421no—
1828C8—1421no—
1829C8—1421no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—22no—
1844C22—21no—
1845C22—21no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—82no—
1858C22—84no—
1859C22—162no—
1860C22—162no—
1861C22—162no—
1862C22—2841no—
1863C22—2841no—
1864C22—2841no—
1865C22C23×C22⋊D7111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—22no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—21no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—2841no—
1880C4—2841no—
1881C4—2841no—
1882C4—2841no—
1883C4—2841no—
1884C4—2841no—
1885C4—2841no—
1886C4C2×#1455617311yescharacteristic
1887C4C2×#1455617311yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—42no—
1894C2—81no—
1895C2—81no—
1896C2—81no—
1897C2—5681no—
1898C2#2260197511yescharacteristic
1899C2#2260312011yescharacteristic
1900C2#2260312611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3488C2
socleC22×C71C23×D4
hypercenter#3488D71
hypocenterC71#61654
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ #525 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. #22602633C2semidirect
2. #22600678C2semidirect
3. #22600608C2semidirect
4. #22600571C2semidirect
5. #22600541C2semidirect
6. #22600421C2semidirect
7. #22600406C2semidirect
8. #22600361C2semidirect
9. #22600346C2semidirect
10. #22600006C2semidirect
11. #22599993C2semidirect
12. #22599967C2semidirect
13. #22599936C2semidirect
14. #22599921C2semidirect
15. #22599896C2semidirect
16. #22599846C2semidirect
17. #22599831C2semidirect
18. #22599434C2semidirect
19. #22599412C2semidirect
20. #22599237C2semidirect
21. #22599216C2semidirect
22. #22599154C2semidirect
23. #22599146C2semidirect
24. #22598602C2semidirect
25. #22598554C2semidirect
26. #22597644C2semidirect
27. #22597617C2semidirect
28. #22597600C2semidirect
29. #22597582C2semidirect
30. #22597402C2semidirect
31. C71×#3488C2semidirect
32. C2×#14556159C22semidirect
33. C2×#14556158C22semidirect
34. C2×#14556158C22semidirect
35. C2×#14556158C22semidirect
36. C2×#14556154C22semidirect
37. C2×#14556154C22semidirect
38. C2×#14556148C22semidirect
39. C22×#11765853C22semidirect
42. #17986719C22semidirect
43. #17986706C22semidirect
45. #17986695C22semidirect
47. #17986689C22semidirect
48. D4×Dic142C22semidirect
49. #17986658C22semidirect
50. #17986658C22semidirect
51. #17986654C22semidirect
52. #17986620C22semidirect
54. #17986611C22semidirect
58. #17986577C22semidirect
59. #17986570C22semidirect
60. #17986510C22semidirect
61. C2×#14556107C22semidirect
62. #17986394C22semidirect
63. #17986386C22semidirect
64. #17986381C22semidirect
65. #17986371C22semidirect
66. #17986363C22semidirect
67. #17986358C22semidirect
68. #17986353C22semidirect
69. #17986345C22semidirect
70. #17986337C22semidirect
71. #17986334C22semidirect
72. #17986334C22semidirect
73. #17986332C22semidirect
74. #17986329C22semidirect
75. #17986320C22semidirect
76. #17986320C22semidirect
77. #17986320C22semidirect
78. #17986312C22semidirect
79. #17986310C22semidirect
80. #17986310C22semidirect
81. #17986310C22semidirect
82. #17986306C22semidirect
83. #17986299C22semidirect
84. #17986294C22semidirect
85. #17986279C22semidirect
86. #17986255C22semidirect
87. #17986250C22semidirect
88. #17986250C22semidirect
89. #17986247C22semidirect
90. #17986243C22semidirect
91. #17986243C22semidirect
92. #17986243C22semidirect
93. #17986243C22semidirect
94. #17986243C22semidirect
95. #17986243C22semidirect
96. #17986243C22semidirect
97. #17986243C22semidirect
98. #17986238C22semidirect
99. #17986238C22semidirect
100. #17986233C22semidirect
101. #17986226C22semidirect
102. #17986221C22semidirect
103. #17986218C22semidirect
104. #17986218C22semidirect
105. #17986218C22semidirect
106. #17986214C22semidirect
107. #17986211C22semidirect
108. #17986209C22semidirect
109. #17986204C22semidirect
110. #17986196C22semidirect
111. #17986196C22semidirect
112. #17986196C22semidirect
113. #17986191C22semidirect
117. #17986161C22semidirect
118. #17986161C22semidirect
119. #17986161C22semidirect
120. #17986161C22semidirect
121. #17986161C22semidirect
122. #17986161C22semidirect
123. #17986161C22semidirect
124. #17986161C22semidirect
125. #17986159C22semidirect
126. #17986155C22semidirect
127. #17986155C22semidirect
128. #17986154C22semidirect
129. #17986150C22semidirect
130. #17986150C22semidirect
131. #17986150C22semidirect
132. #17986150C22semidirect
133. #17986150C22semidirect
134. #17986150C22semidirect
135. #17986150C22semidirect
136. #17986150C22semidirect
138. #17986144C22semidirect
139. #17986144C22semidirect
140. #17986144C22semidirect
141. #17986144C22semidirect
142. #17986142C22semidirect
143. #17986142C22semidirect
144. #17986142C22semidirect
145. #17986137C22semidirect
146. #17986137C22semidirect
147. #17986137C22semidirect
148. #17986133C22semidirect
149. #17986133C22semidirect
150. #17986104C22semidirect
151. #17986099C22semidirect
152. #17986099C22semidirect
153. #17986097C22semidirect
154. C4×#11765855C22semidirect
155. C4×#11765855C22semidirect
156. C4×#11765853C22semidirect
157. C4×#11765850C22semidirect
158. #17986077C22semidirect
159. #17986077C22semidirect
160. #17986077C22semidirect
161. #17986077C22semidirect
162. #17986071C22semidirect
163. #17986071C22semidirect
164. #17986071C22semidirect
165. #17986071C22semidirect
166. #17986060C22semidirect
167. #17986060C22semidirect
168. #17986008C22semidirect
169. #17986004C22semidirect
170. #17986004C22semidirect
171. #17986000C22semidirect
172. #17986000C22semidirect
173. #17986000C22semidirect
174. #17985995C22semidirect
175. C2×#14556049C22semidirect
176. #17985966C22semidirect
177. #17985966C22semidirect
178. #17985963C22semidirect
179. #17985963C22semidirect
952. #3488D71semidirect
982. C71#61654semidirect

Maximal subgroups

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

subgroupindex
#226026332
#226006782
#226006082
#226005712
#226005412
#226004212
#226004062
#226003612
#226003462
#226000062
#225999932
#225999672
#225999362
#225999212
#225998962
#225998462
#225998312
#225994342
#225994122
#225992372
#225992162
#225991542
#225991462
#225986022
#225985542
#225976442
#225976172
#225976002
#225975822
#225974022
C71×#34882
#6165471