Finite Group Databasebeta

← #32872528

Subgroups — #32872528

Order 18176.

2796 conjugacy classes of subgroups.

The subgroup lattice has 2072 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986797C211yesmaximal, characteristic, complemented
2C22×#14556148C211yesmaximal, characteristic, complemented
3D4×#11765865C211yesmaximal, characteristic, complemented
4#22599926C211yesmaximal, characteristic, complemented
5#22599921C211yesmaximal, characteristic, complemented
6#22599911C211yesmaximal, characteristic, complemented
7#22599906C211yesmaximal, characteristic, complemented
8#22599896C211yesmaximal, characteristic, complemented
9#22599891C211yesmaximal, characteristic, complemented
10#22599881C211yesmaximal, characteristic, complemented
11#22599876C211yesmaximal, characteristic, complemented
12#22599866C211yesmaximal, characteristic, complemented
13#22599861C211yesmaximal, characteristic, complemented
14#22599851C211yesmaximal, characteristic, complemented
15#22599846C211yesmaximal, characteristic, complemented
16#22599836C211yesmaximal, characteristic, complemented
17#22599831C211yesmaximal, characteristic, complemented
18#22599821C211yesmaximal, characteristic, complemented
19#22599816C211yesmaximal, characteristic, complemented
20#22598785C211yesmaximal, characteristic, complemented
21#22597946C211yesmaximal, characteristic, complemented
22#22597918C211yesmaximal, characteristic, complemented
23#22597795C211yesmaximal, characteristic, complemented
24#22597789C211yesmaximal, characteristic, complemented
25#22597558C211yesmaximal, characteristic, complemented
26#22597558C211yesmaximal, characteristic, complemented
27#22597556C211yesmaximal, characteristic, complemented
28#22597556C211yesmaximal, characteristic, complemented
29#22597138C211yesmaximal, characteristic, complemented
30C2×#17986071C211yesmaximal, characteristic, complemented
31D4×#41×C71C211yesmaximal, characteristic, complemented
32C22×#11765865C2211yescharacteristic, complemented
33C22×#11765865C2211yescharacteristic, complemented
34#17986797—28no—
35C2×#14556159C2211yescharacteristic, complemented
36C2×#14556159C2211yescharacteristic, complemented
37C2×#14556158C2211yescharacteristic, complemented
38C2×#14556158C2211yescharacteristic, complemented
39C2×#14556154C2211yescharacteristic, complemented
40C2×#14556154C2211yescharacteristic, complemented
41C2×#14556153C2211yescharacteristic, complemented
42C2×#14556153C2211yescharacteristic, complemented
43C2×#14556148—28no—
44C2×#14556148C2211yescharacteristic
45C2×#14556148C2211yescharacteristic, complemented
46C2×#14556148C2211yescharacteristic, complemented
47C2×#14556148C2211yescharacteristic, complemented
48C2×#14556148C2211yescharacteristic, complemented
49C2×#14556148C2211yescharacteristic, complemented
50C2×#14556148C2211yescharacteristic, complemented
51C2×#14556148C2211yescharacteristic, complemented
52C2×#14556148C2211yescharacteristic, complemented
53C2×#14556148C2211yescharacteristic, complemented
54C2×#14556148C2211yescharacteristic, complemented
55C2×#14556148C2211yescharacteristic, complemented
56C2×#14556148C2211yescharacteristic, complemented
57C22×#11765855C2211yescharacteristic, complemented
58C22×#11765853C2211yescharacteristic, complemented
59C22×#11765852C2211yescharacteristic, complemented
60C22×#11765850C2211yescharacteristic, complemented
61C22×#11765849C2211yescharacteristic, complemented
62C23×C71⋊C8C2211yescharacteristic, complemented
63#17986670C2211yescharacteristic, complemented
64D4×Dic142C2211yescharacteristic, complemented
65#17986658C2211yescharacteristic
66#17986658C2211yescharacteristic, complemented
67#17986654C2211yescharacteristic, complemented
68#17986650—21no—
69#17986645C2211yescharacteristic
70#17986645C2211yescharacteristic, complemented
71#17986639—21no—
72#17986639—21no—
73D4×D284C2211yescharacteristic, complemented
74D4×C22⋊D71—21no—
75#17986549C2211yescharacteristic, complemented
76#17986546—21no—
77#17986510C2211yescharacteristic, complemented
78#17986510C2211yescharacteristic, complemented
79#17986508—21no—
80#17986508—21no—
81C4×#11765865C2211yescharacteristic, complemented
82C4×D4×D71—21no—
83#17986394C2211yescharacteristic, complemented
84#17986394C2211yescharacteristic, complemented
85#17986391C2211yescharacteristic, complemented
86#17986391C2211yescharacteristic, complemented
87#17986389C2211yescharacteristic, complemented
88#17986389C2211yescharacteristic, complemented
89#17986386C2211yescharacteristic, complemented
90#17986386C2211yescharacteristic, complemented
91#17986255C2211yescharacteristic, complemented
92#17986255C2211yescharacteristic, complemented
93#17986250C2211yescharacteristic, complemented
94#17986250C2211yescharacteristic, complemented
95#17986247C2211yescharacteristic, complemented
96#17986247C2211yescharacteristic, complemented
97#17986243C2211yescharacteristic, complemented
98#17986243C2211yescharacteristic, complemented
99#17986238C2211yescharacteristic, complemented
100#17986238C2211yescharacteristic, complemented
101#17986233C2211yescharacteristic, complemented
102#17986233C2211yescharacteristic, complemented
103#17986230C2211yescharacteristic, complemented
104#17986230C2211yescharacteristic, complemented
105#17986226C2211yescharacteristic, complemented
106#17986226C2211yescharacteristic, complemented
107#17986221C2211yescharacteristic, complemented
108#17986221C2211yescharacteristic, complemented
109#17986218C2211yescharacteristic, complemented
110#17986218C2211yescharacteristic, complemented
111#17986214C2211yescharacteristic, complemented
112#17986214C2211yescharacteristic, complemented
113#17986211C2211yescharacteristic, complemented
114#17986211C2211yescharacteristic, complemented
115#17986209C2211yescharacteristic, complemented
116#17986206C2211yescharacteristic, complemented
117#17986204C2211yescharacteristic, complemented
118#17986201C2211yescharacteristic, complemented
119#17986199C2211yescharacteristic, complemented
120#17986196C2211yescharacteristic, complemented
121#17986194C2211yescharacteristic, complemented
122#17986191C2211yescharacteristic, complemented
123#17986161C2211yescharacteristic, complemented
124#17986161C2211yescharacteristic, complemented
125#17986161C2211yescharacteristic, complemented
126#17986161C2211yescharacteristic, complemented
127#17986159C2211yescharacteristic, complemented
128#17986159C2211yescharacteristic, complemented
129#17986159C2211yescharacteristic, complemented
130#17986159C2211yescharacteristic, complemented
131#17986155C2211yescharacteristic, complemented
132#17986155C2211yescharacteristic, complemented
133#17986154C2211yescharacteristic, complemented
134#17986154C2211yescharacteristic, complemented
135#17986150C2211yescharacteristic, complemented
136#17986150C2211yescharacteristic, complemented
137#17986149C2211yescharacteristic, complemented
138#17986149C2211yescharacteristic, complemented
139#17986144C2211yescharacteristic, complemented
140#17986144C2211yescharacteristic, complemented
141#17986144C2211yescharacteristic, complemented
142#17986144C2211yescharacteristic, complemented
143#17986142C2211yescharacteristic, complemented
144#17986142C2211yescharacteristic, complemented
145#17986142C2211yescharacteristic, complemented
146#17986142C2211yescharacteristic, complemented
147#17986138C2211yescharacteristic, complemented
148#17986138C2211yescharacteristic, complemented
149#17986137C2211yescharacteristic, complemented
150#17986137C2211yescharacteristic, complemented
151#17986133C2211yescharacteristic, complemented
152#17986133C2211yescharacteristic, complemented
153#17986132C2211yescharacteristic, complemented
154#17986132C2211yescharacteristic, complemented
155#17986109C2211yescharacteristic, complemented
156#17986109C2211yescharacteristic, complemented
157#17986104C2211yescharacteristic, complemented
158#17986104C2211yescharacteristic, complemented
159#17986099C2211yescharacteristic, complemented
160#17986099C2211yescharacteristic, complemented
161#17986097C2211yescharacteristic, complemented
162#17986097C2211yescharacteristic, complemented
163#17986071C2211yescharacteristic, complemented
164#17986071C2211yescharacteristic, complemented
165#17986071C2211yescharacteristic, complemented
166#17986071C2211yescharacteristic, complemented
167#17986071C2211yescharacteristic, complemented
168#17986071C2211yescharacteristic, complemented
169#17986071C2211yescharacteristic, complemented
170#17986071C2211yescharacteristic, complemented
171#17986035C2211yescharacteristic, complemented
172C2×C4⋊(C71⋊C8)C2211yescharacteristic, complemented
173#17985995C2211yescharacteristic, complemented
174#17985995C2211yescharacteristic, complemented
175#17985995C2211yescharacteristic, complemented
176#17985993C2211yescharacteristic, complemented
177#17985993C2211yescharacteristic, complemented
178#17985993C2211yescharacteristic, complemented
179C2×C22⋊(C71⋊C8)C2211yescharacteristic, complemented
180C2×C22⋊(C71⋊C8)C2211yescharacteristic, complemented
181C2×#14556039C2211yescharacteristic, complemented
182C22×#41×C71C2211yescharacteristic, complemented
183C22×#41×C71C2211yescharacteristic, complemented
184#550×C71C2211yescharacteristic, complemented
185D4×Q8×C71C2211yescharacteristic, complemented
186#548×C71C2211yescharacteristic
187#548×C71C2211yescharacteristic, complemented
188#547×C71—21no—
189#547×C71C2211yescharacteristic, complemented
190#546×C71—21no—
191#546×C71—21no—
192#546×C71C2211yescharacteristic
193#546×C71C2211yescharacteristic, complemented
194D42×C71—21no—
195D42×C71C2211yescharacteristic, complemented
196#532×C71—21no—
197#532×C71C2211yescharacteristic, complemented
198#525×C71—21no—
199#525×C71—21no—
200#525×C71C2211yescharacteristic, complemented
201#525×C71C2211yescharacteristic, complemented
202C4×#41×C71C2211yescharacteristic, complemented
203C2×C4×D4×C71—21no—
204C2×C4×D4×C71C2211yescharacteristic
205C2×#11765865—24no—
206C2×#11765865—24no—
207C2×#11765865—21no—
208C2×#11765865—21no—
209C2×#11765865—21no—
210C2×#11765865—21no—
211C2×#11765865—42no—
212C2×#11765865—42no—
213C2×#11765865C2311yescharacteristic
214C2×#11765865C2311yescharacteristic
215C2×#11765865C2311yescharacteristic
216C2×#11765865C2311yescharacteristic
217C2×#11765865C2311yescharacteristic
218C2×#11765865C2311yescharacteristic
219C2×#11765865C2311yescharacteristic
220C22×Dic142C2311yescharacteristic
221C22×Dic142C2311yescharacteristic
222C22×D284C2311yescharacteristic
223C22×D284C2311yescharacteristic
224C22×C22⋊D71—21no—
225C22×C22⋊D71—21no—
226C2×D4×D71—21no—
227C22×C4×D71—21no—
228C22×C4×D71—21no—
229#14556159—24no—
230#14556159—24no—
231#14556158—24no—
232#14556158—24no—
233#14556154—24no—
234#14556154—24no—
235#14556153—24no—
236#14556153—24no—
237#14556148—24no—
238#14556148—24no—
239#14556148—24no—
240#14556148—24no—
241#14556148—24no—
242#14556148—24no—
243#14556148—24no—
244#14556148—24no—
245#14556148—24no—
246#14556148—24no—
247#14556148—42no—
248#14556148—42no—
249#14556148D418yescomplemented
250C2×#11765855—24no—
251C2×#11765855C2311yescharacteristic
252C2×#11765855C2311yescharacteristic
253C2×#11765855C2311yescharacteristic
254C2×#11765855C2311yescharacteristic
255C2×#11765855C2311yescharacteristic
256C2×#11765855C2311yescharacteristic
257C2×#11765855C2311yescharacteristic
258C2×#11765855C2311yescharacteristic
259C2×#11765855C2311yescharacteristic
260C2×#11765853—24no—
261C2×#11765853C2311yescharacteristic
262C2×#11765853C2311yescharacteristic
263C2×#11765853C2311yescharacteristic
264C2×#11765853C2311yescharacteristic
265C2×#11765853C2311yescharacteristic
266C2×#11765853C2311yescharacteristic
267C2×#11765853C2311yescharacteristic
268C2×#11765853C2311yescharacteristic
269C2×#11765853C2311yescharacteristic
270C2×#11765852—24no—
271C2×#11765852C2311yescharacteristic
272C2×#11765852C2311yescharacteristic
273C2×#11765852C2311yescharacteristic
274C2×#11765852C2311yescharacteristic
275C2×#11765852C2311yescharacteristic
276C2×#11765852C2311yescharacteristic
277C2×#11765852C2311yescharacteristic
278C2×#11765852C2311yescharacteristic
279C2×#11765852C2311yescharacteristic
280C2×#11765850—24no—
281C2×#11765850C2311yescharacteristic
282C2×#11765850C2311yescharacteristic
283C2×#11765850C2311yescharacteristic
284C2×#11765850C2311yescharacteristic
285C2×#11765850C2311yescharacteristic
286C2×#11765850C2311yescharacteristic
287C2×#11765850C2311yescharacteristic
288C2×#11765850C2311yescharacteristic
289C2×#11765850C2311yescharacteristic
290C2×#11765849—24no—
291C2×#11765849C2311yescharacteristic
292C2×#11765849C2311yescharacteristic
293C2×#11765849C2311yescharacteristic
294C2×#11765849C2311yescharacteristic
295C22×C71⋊C8—24no—
296C22×C71⋊C8C2311yescharacteristic
297C22×C71⋊C8C2311yescharacteristic
298C22×C71⋊C8C2311yescharacteristic
299C22×C71⋊C8C2311yescharacteristic
300C22×C71⋊C8C2311yescharacteristic
301C22×C71⋊C8C2311yescharacteristic
302C22×C71⋊C8C2311yescharacteristic
303C22×C71⋊C8C2311yescharacteristic
304#14556128C2311yescharacteristic
305#14556127—21no—
306#14556125C2311yescharacteristic
307#14556124—21no—
308#14556116C2311yescharacteristic
309#14556116C2311yescharacteristic
310#14556114—21no—
311#14556114—21no—
312#14556113—21no—
313#14556113—21no—
314#14556111—21no—
315#14556111—21no—
316#14556110—21no—
317#14556110—21no—
318#14556107C2311yescharacteristic
319#14556107C2311yescharacteristic
320#14556107C2311yescharacteristic
321#14556107C2311yescharacteristic
322#14556106—21no—
323#14556106—21no—
324#14556105—21no—
325#14556105—21no—
326#14556103—21no—
327#14556102—21no—
328#14556102—21no—
329#14556102C2311yescharacteristic
330#14556102C2311yescharacteristic
331#14556102C2311yescharacteristic
332#14556102C2311yescharacteristic
333#14556101—21no—
334#14556101—21no—
335#14556101—21no—
336#14556101—21no—
337#14556100—21no—
338#14556100—21no—
339#14556099—21no—
340#14556098—21no—
341#14556098—21no—
342#14556097—21no—
343#14556097—21no—
344#14556096—21no—
345#14556096—21no—
346C4×Dic142C2311yescharacteristic
347C4×Dic142C2311yescharacteristic
348C4×D284—21no—
349C4×D284—21no—
350C4×D284C2311yescharacteristic
351C4×D284C2311yescharacteristic
352D4×Dic71—21no—
353#14556090—21no—
354C4×C22⋊D71—21no—
355C4×C22⋊D71—21no—
356C4×C22⋊D71—21no—
357C4×C22⋊D71—21no—
358C4×C22⋊D71—21no—
359C4×C22⋊D71—21no—
360(C22⋊D71)⋊C4—21no—
361(C22⋊D71)⋊C4—21no—
362#14556087C2311yescharacteristic
363#14556085—21no—
364C4⋊C4×D71—21no—
365C22⋊C4×D71—21no—
366C22⋊C4×D71—21no—
367C42×D71—21no—
368#14556061C2311yescharacteristic
369#14556061C2311yescharacteristic
370#14556059C2311yescharacteristic
371#14556059C2311yescharacteristic
372C4⋊(C71⋊C8)C2311yescharacteristic
373C4⋊(C71⋊C8)C2311yescharacteristic
374C4⋊(C71⋊C8)C2311yescharacteristic
375C4⋊(C71⋊C8)C2311yescharacteristic
376#14556052C2311yescharacteristic
377#14556052C2311yescharacteristic
378#14556052C2311yescharacteristic
379#14556052C2311yescharacteristic
380#14556052C2311yescharacteristic
381#14556052C2311yescharacteristic
382#14556051C2311yescharacteristic
383#14556051C2311yescharacteristic
384#14556051C2311yescharacteristic
385#14556051C2311yescharacteristic
386#14556051C2311yescharacteristic
387#14556051C2311yescharacteristic
388#14556049C2311yescharacteristic
389#14556049C2311yescharacteristic
390#14556049C2311yescharacteristic
391#14556049C2311yescharacteristic
392#14556049C2311yescharacteristic
393#14556049C2311yescharacteristic
394#14556048C2311yescharacteristic
395#14556048C2311yescharacteristic
396#14556048C2311yescharacteristic
397#14556048C2311yescharacteristic
398#14556048C2311yescharacteristic
399#14556048C2311yescharacteristic
400C22⋊(C71⋊C8)C2311yescharacteristic
401C22⋊(C71⋊C8)C2311yescharacteristic
402C22⋊(C71⋊C8)C2311yescharacteristic
403C22⋊(C71⋊C8)C2311yescharacteristic
404C22⋊(C71⋊C8)C2311yescharacteristic
405C22⋊(C71⋊C8)C2311yescharacteristic
406C22⋊(C71⋊C8)C2311yescharacteristic
407C22⋊(C71⋊C8)C2311yescharacteristic
408#14556039C2311yescharacteristic
409#14556039C2311yescharacteristic
410#14556039C2311yescharacteristic
411#14556039C2311yescharacteristic
412C2×#41×C71—21no—
413C2×#41×C71—21no—
414C2×#41×C71—21no—
415C2×#41×C71—21no—
416C2×#41×C71—24no—
417C2×#41×C71—24no—
418C2×#41×C71—42no—
419C2×#41×C71—42no—
420C2×#41×C71C2311yescharacteristic
421C2×#41×C71C2311yescharacteristic
422C2×#41×C71C2311yescharacteristic
423C2×#41×C71C2311yescharacteristic
424C2×#41×C71C2311yescharacteristic
425C2×#41×C71C2311yescharacteristic
426C2×#41×C71C2311yescharacteristic
427C22×Q8×C71C2311yescharacteristic
428C22×Q8×C71C2311yescharacteristic
429C22×D4×C71—21no—
430C22×D4×C71—21no—
431C22×D4×C71—21no—
432C22×D4×C71D411yescharacteristic
433C22×D4×C71C2311yescharacteristic
434C22×D4×C71C2311yescharacteristic
435C23×C4×C71—21no—
436C23×C4×C71—21no—
437C23×C4×C71C2311yescharacteristic
438C23×C4×C71C2311yescharacteristic
439C4⋊Q8×C71—21no—
440C4⋊Q8×C71C2311yescharacteristic
441#127×C71—21no—
442#127×C71C2311yescharacteristic
443#124×C71—21no—
444#124×C71—21no—
445#124×C71C2311yescharacteristic
446#124×C71C2311yescharacteristic
447#123×C71—21no—
448#123×C71—21no—
449#123×C71—21no—
450#123×C71—21no—
451#123×C71—21no—
452#123×C71—21no—
453C22⋊Q8×C71—21no—
454C22⋊Q8×C71—21no—
455C22⋊Q8×C71—21no—
456C22⋊Q8×C71—21no—
457C22⋊Q8×C71C2311yescharacteristic
458C22⋊Q8×C71C2311yescharacteristic
459C22⋊Q8×C71C2311yescharacteristic
460C22⋊Q8×C71C2311yescharacteristic
461#121×C71—21no—
462#121×C71—21no—
463#121×C71—21no—
464#121×C71—21no—
465#121×C71—21no—
466#121×C71—21no—
467#121×C71—21no—
468#121×C71—21no—
469#121×C71—21no—
470#121×C71—21no—
471#121×C71C2311yescharacteristic
472#121×C71C2311yescharacteristic
473#121×C71C2311yescharacteristic
474#121×C71C2311yescharacteristic
475#120×C71—21no—
476#120×C71—21no—
477#120×C71—21no—
478#120×C71—21no—
479#120×C71—21no—
480#120×C71—21no—
481C4×Q8×C71C2311yescharacteristic
482C4×Q8×C71C2311yescharacteristic
483C4×D4×C71—21no—
484C4×D4×C71—21no—
485C4×D4×C71—21no—
486C4×D4×C71—21no—
487C4×D4×C71—21no—
488C4×D4×C71—21no—
489C4×D4×C71—21no—
490C4×D4×C71—21no—
491C4×D4×C71—21no—
492C4×D4×C71—21no—
493C4×D4×C71—21no—
494C4×D4×C71—21no—
495C4×D4×C71D411yescharacteristic
496C4×D4×C71D411yescharacteristic
497C4×D4×C71D411yescharacteristic
498C4×D4×C71D411yescharacteristic
499C4×D4×C71C2311yescharacteristic
500C4×D4×C71C2311yescharacteristic
501C4×D4×C71C2311yescharacteristic
502C4×D4×C71C2311yescharacteristic
503C4×D4×C71C2311yescharacteristic
504C4×D4×C71C2311yescharacteristic
505#117×C71—21no—
506#117×C71C2311yescharacteristic
507C2×C4⋊C4×C71—21no—
508C2×C4⋊C4×C71D411yescharacteristic
509C2×C22⋊C4×C71—21no—
510C2×C22⋊C4×C71—21no—
511C2×C22⋊C4×C71D411yescharacteristic
512C2×C22⋊C4×C71D411yescharacteristic
513C2×C42×C71—21no—
514C2×C42×C71C2311yescharacteristic
515C23×D71—21no—
516C23×D71—21no—
517#11765865—22no—
518#11765865—22no—
519#11765865—22no—
520#11765865—22no—
521#11765865—22no—
522#11765865—22no—
523#11765865—22no—
524#11765865—22no—
525#11765865—22no—
526#11765865—41no—
527#11765865—41no—
528#11765865—41no—
529#11765865—41no—
530#11765865—44no—
531#11765865—44no—
532#11765865—44no—
533#11765865—44no—
534#11765865C2×D414yescomplemented
535C2×Dic142—22no—
536C2×Dic142—22no—
537C2×Dic142—21no—
538C2×Dic142—21no—
539C2×Dic142—41no—
540C2×Dic142—41no—
541C2×Dic142C2411yescharacteristic
542C2×Dic142C2411yescharacteristic
543C2×Dic142C2411yescharacteristic
544C2×D284—22no—
545C2×D284—22no—
546C2×D284—21no—
547C2×D284—21no—
548C2×D284—21no—
549C2×D284—21no—
550C2×D284—41no—
551C2×D284—41no—
552C2×D284C2411yescharacteristic
553C2×D284C2411yescharacteristic
554C2×D284C2411yescharacteristic
555C2×C22⋊D71—21no—
556C2×C22⋊D71—21no—
557C2×C22⋊D71—21no—
558C2×C22⋊D71—21no—
559C2×C22⋊D71—21no—
560C2×C22⋊D71—21no—
561C2×C22⋊D71—21no—
562C2×C22⋊D71—21no—
563C2×C22⋊D71—21no—
564C2×C22⋊D71—21no—
565C2×C22⋊D71—21no—
566C2×C22⋊D71—44no—
567C2×C22⋊D71—44no—
568D4×D71—44no—
569C22×Dic71—21no—
570C22×Dic71—21no—
571C2×C4×D71—21no—
572C2×C4×D71—21no—
573C2×C4×D71—21no—
574C2×C4×D71—21no—
575C2×C4×D71—21no—
576C2×C4×D71—21no—
577C2×C4×D71—21no—
578C2×C4×D71—21no—
579C2×C4×D71—21no—
580C2×C4×D71—44no—
581C2×C4×D71—44no—
582#11765855—22no—
583#11765855—22no—
584#11765855—22no—
585#11765855—22no—
586#11765855—22no—
587#11765855—22no—
588#11765855—41no—
589#11765855—41no—
590#11765855C2×D414yescomplemented
591#11765853—22no—
592#11765853—22no—
593#11765853—22no—
594#11765853—22no—
595#11765853—22no—
596#11765853—22no—
597#11765853—41no—
598#11765853—41no—
599#11765853C2×D414yescomplemented
600#11765852—22no—
601#11765852—22no—
602#11765852—22no—
603#11765852—22no—
604#11765852—22no—
605#11765852—22no—
606#11765852—41no—
607#11765852—41no—
608#11765852C2×D414yescomplemented
609#11765850—22no—
610#11765850—22no—
611#11765850—22no—
612#11765850—22no—
613#11765850—22no—
614#11765850—22no—
615#11765850—41no—
616#11765850—41no—
617#11765850C2×D414yescomplemented
618#11765849—22no—
619#11765849—22no—
620#11765849—22no—
621#11765849—22no—
622C2×C71⋊C8—22no—
623C2×C71⋊C8—22no—
624C2×C71⋊C8—22no—
625C2×C71⋊C8—22no—
626C2×C71⋊C8—22no—
627C2×C71⋊C8—22no—
628C2×C71⋊C8—22no—
629C2×C71⋊C8C2×D414yescomplemented
630C2×C71⋊C8C2411yescharacteristic
631C2×C71⋊C8C2411yescharacteristic
632C2×C71⋊C8C2411yescharacteristic
633C2×C71⋊C8C2411yescharacteristic
634C2×C71⋊C8C2411yescharacteristic
635C2×C71⋊C8C2411yescharacteristic
636C2×C71⋊C8C2411yescharacteristic
637C2×C71⋊C8C2411yescharacteristic
638C4⋊Dic71—21no—
639C4⋊Dic71—21no—
640C4⋊Dic71C2411yescharacteristic
641C4⋊Dic71C2411yescharacteristic
642Dic71⋊C4—21no—
643Dic71⋊C4—21no—
644Dic71⋊C4—21no—
645Dic71⋊C4—21no—
646Dic71⋊C4—21no—
647Dic71⋊C4—21no—
648C22⋊Dic71—21no—
649C22⋊Dic71—21no—
650C22⋊Dic71—21no—
651C22⋊Dic71—21no—
652C22⋊Dic71—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)⋊C4—21no—
659(C2×D71)⋊C4—21no—
660(C2×D71)⋊C4—21no—
661(C2×D71)⋊C4—21no—
662(C2×D71)⋊C4—21no—
663C4×Dic71—21no—
664C4×Dic71—21no—
665C4×Dic71—21no—
666C24×C71—21no—
667C24×C71—21no—
668C24×C71C2×D411yescharacteristic
669C24×C71C2×D411yescharacteristic
670#41×C71—22no—
671#41×C71—22no—
672#41×C71—22no—
673#41×C71—22no—
674#41×C71—22no—
675#41×C71—22no—
676#41×C71—22no—
677#41×C71—22no—
678#41×C71—22no—
679#41×C71—44no—
680#41×C71—44no—
681#41×C71—41no—
682#41×C71—41no—
683#41×C71—41no—
684#41×C71—41no—
685#41×C71—44no—
686#41×C71—44no—
687#41×C71C2×D414yescomplemented
688C2×Q8×C71—21no—
689C2×Q8×C71—21no—
690C2×Q8×C71—22no—
691C2×Q8×C71—22no—
692C2×Q8×C71—41no—
693C2×Q8×C71—41no—
694C2×Q8×C71C2411yescharacteristic
695C2×Q8×C71C2411yescharacteristic
696C2×Q8×C71C2411yescharacteristic
697C2×D4×C71—21no—
698C2×D4×C71—22no—
699C2×D4×C71—22no—
700C2×D4×C71—21no—
701C2×D4×C71—21no—
702C2×D4×C71—21no—
703C2×D4×C71—21no—
704C2×D4×C71—21no—
705C2×D4×C71—21no—
706C2×D4×C71—21no—
707C2×D4×C71—21no—
708C2×D4×C71—21no—
709C2×D4×C71—21no—
710C2×D4×C71—21no—
711C2×D4×C71—21no—
712C2×D4×C71—21no—
713C2×D4×C71—21no—
714C2×D4×C71—41no—
715C2×D4×C71—41no—
716C2×D4×C71—42no—
717C2×D4×C71—44no—
718C2×D4×C71—44no—
719C2×D4×C71—44no—
720C2×D4×C71C2×D411yescharacteristic
721C2×D4×C71C2×D411yescharacteristic
722C2×D4×C71C2×D411yescharacteristic
723C2×D4×C71C2×D411yescharacteristic
724C2×D4×C71C2411yescharacteristic
725C2×D4×C71C2411yescharacteristic
726C2×D4×C71C2411yescharacteristic
727C22×C4×C71—22no—
728C22×C4×C71—22no—
729C22×C4×C71—21no—
730C22×C4×C71—22no—
731C22×C4×C71—22no—
732C22×C4×C71—21no—
733C22×C4×C71—21no—
734C22×C4×C71—21no—
735C22×C4×C71—21no—
736C22×C4×C71—21no—
737C22×C4×C71—21no—
738C22×C4×C71—21no—
739C22×C4×C71—21no—
740C22×C4×C71—21no—
741C22×C4×C71—21no—
742C22×C4×C71—44no—
743C22×C4×C71—44no—
744C22×C4×C71C2×D411yescharacteristic
745C22×C4×C71C2×D411yescharacteristic
746C22×C4×C71C2×D411yescharacteristic
747C22×C4×C71C2×D411yescharacteristic
748C22×C4×C71C2×D411yescharacteristic
749C22×C4×C71C2×D411yescharacteristic
750C22×C4×C71C2×D411yescharacteristic
751C22×C4×C71C2×D411yescharacteristic
752C22×C4×C71C2411yescharacteristic
753C22×C4×C71C2411yescharacteristic
754C22×C4×C71C2411yescharacteristic
755C22×C4×C71C2411yescharacteristic
756C22×C4×C71C2411yescharacteristic
757C4⋊C4×C71—21no—
758C4⋊C4×C71—21no—
759C4⋊C4×C71—21no—
760C4⋊C4×C71—21no—
761C4⋊C4×C71—21no—
762C4⋊C4×C71—21no—
763C4⋊C4×C71—21no—
764C4⋊C4×C71—21no—
765C4⋊C4×C71C2×D411yescharacteristic
766C4⋊C4×C71C2×D411yescharacteristic
767C4⋊C4×C71C2×D411yescharacteristic
768C4⋊C4×C71C2×D411yescharacteristic
769C4⋊C4×C71C2411yescharacteristic
770C4⋊C4×C71C2411yescharacteristic
771C22⋊C4×C71—21no—
772C22⋊C4×C71—21no—
773C22⋊C4×C71—21no—
774C22⋊C4×C71—21no—
775C22⋊C4×C71—21no—
776C22⋊C4×C71—21no—
777C22⋊C4×C71—21no—
778C22⋊C4×C71—21no—
779C22⋊C4×C71—21no—
780C22⋊C4×C71—21no—
781C22⋊C4×C71—21no—
782C22⋊C4×C71—21no—
783C22⋊C4×C71—21no—
784C22⋊C4×C71—21no—
785C22⋊C4×C71—21no—
786C22⋊C4×C71C2×D411yescharacteristic
787C22⋊C4×C71C2×D411yescharacteristic
788C22⋊C4×C71C2×D411yescharacteristic
789C22⋊C4×C71C2×D411yescharacteristic
790C22⋊C4×C71C2×D411yescharacteristic
791C22⋊C4×C71C2×D411yescharacteristic
792C22⋊C4×C71C2×D411yescharacteristic
793C22⋊C4×C71C2×D411yescharacteristic
794C42×C71—21no—
795C42×C71—21no—
796C42×C71—21no—
797C42×C71C2×D411yescharacteristic
798C42×C71C2×D411yescharacteristic
799C42×C71C2411yescharacteristic
800C42×C71C2411yescharacteristic
801C23×C71—22no—
802C23×C71—22no—
803C23×C71—21no—
804C23×C71—22no—
805C23×C71—21no—
806C23×C71—21no—
807C23×C71—41no—
808C23×C71—41no—
809C23×C71—41no—
810C23×C71—42no—
811C23×C71—42no—
812C23×C71—42no—
813C23×C71—42no—
814C23×C71—81no—
815C23×C71—81no—
816C23×C71C22×D411yescharacteristic
817C23×C71C22×D411yescharacteristic
818C23×C71C22×D411yescharacteristic
819C23×C71C22×D411yescharacteristic
820C23×C71C22×D411yescharacteristic
821C22×D71—21no—
822C22×D71—21no—
823C22×D71—21no—
824C22×D71—42no—
825C22×D71—42no—
826C22×D71—42no—
827C22×D71—42no—
828C22×D71—81no—
829C22×D71—81no—
830Q8×C71—21no—
831Q8×C71—21no—
832Q8×C71—21no—
833Q8×C71—21no—
834Q8×C71—21no—
835Q8×C71—42no—
836Q8×C71—42no—
837Q8×C71C22×D412yes—
838D4×C71—24no—
839D4×C71—22no—
840D4×C71—22no—
841D4×C71—21no—
842D4×C71—21no—
843D4×C71—21no—
844D4×C71—21no—
845D4×C71—21no—
846D4×C71—41no—
847D4×C71—41no—
848D4×C71—42no—
849D4×C71—42no—
850D4×C71—42no—
851D4×C71—42no—
852D4×C71—42no—
853D4×C71—42no—
854D4×C71—42no—
855D4×C71—42no—
856D4×C71—42no—
857D4×C71—42no—
858D4×C71—42no—
859D4×C71—81no—
860D4×C71—81no—
861D4×C71—81no—
862D4×C71C22×D412yes—
863C2×C4×C71—22no—
864C2×C4×C71—22no—
865C2×C4×C71—21no—
866C2×C4×C71—22no—
867C2×C4×C71—22no—
868C2×C4×C71—22no—
869C2×C4×C71—22no—
870C2×C4×C71—24no—
871C2×C4×C71—21no—
872C2×C4×C71—21no—
873C2×C4×C71—21no—
874C2×C4×C71—21no—
875C2×C4×C71—21no—
876C2×C4×C71—21no—
877C2×C4×C71—21no—
878C2×C4×C71—21no—
879C2×C4×C71—21no—
880C2×C4×C71—21no—
881C2×C4×C71—21no—
882C2×C4×C71—21no—
883C2×C4×C71—41no—
884C2×C4×C71—41no—
885C2×C4×C71—42no—
886C2×C4×C71—42no—
887C2×C4×C71—42no—
888C2×C4×C71—42no—
889C2×C4×C71—42no—
890C2×C4×C71—42no—
891C2×C4×C71—42no—
892C2×C4×C71—42no—
893C2×C4×C71—42no—
894C2×C4×C71—81no—
895C2×C4×C71C22×D412yes—
896C2×C4×C71C22×D411yescharacteristic
897C2×C4×C71C22×D411yescharacteristic
898C2×C4×C71C22×D411yescharacteristic
899C2×C4×C71C22×D411yescharacteristic
900C2×C4×C71C22×D411yescharacteristic
901C2×C4×C71C22×D411yescharacteristic
902C2×C4×C71C22×D411yescharacteristic
903C2×C4×C71C22×D411yescharacteristic
904C2×C4×C71C22×D411yescharacteristic
905C2×C4×C71H(5,𝔽2)12yes—
906C2×C4×C71C2511yescharacteristic
907C22⋊D71—24no—
908C22⋊D71—42no—
909C22⋊D71—42no—
910C22⋊D71—42no—
911C22⋊D71—42no—
912C22⋊D71—42no—
913C22⋊D71—42no—
914C22⋊D71—42no—
915C22⋊D71—42no—
916C22⋊D71—81no—
917C22⋊D71—81no—
918C2×Dic71—21no—
919C2×Dic71—21no—
920C2×Dic71—21no—
921C2×Dic71—21no—
922C2×Dic71—21no—
923C2×Dic71—42no—
924C2×Dic71—42no—
925D284—21no—
926D284—21no—
927D284—21no—
928D284—21no—
929D284—21no—
930D284—42no—
931D284—42no—
932D284—42no—
933D284—81no—
934D284C22×D412yes—
935C4×D71—24no—
936C4×D71—42no—
937C4×D71—42no—
938C4×D71—42no—
939C4×D71—42no—
940C4×D71—42no—
941C4×D71—42no—
942C4×D71—42no—
943C4×D71—81no—
944Dic142—21no—
945Dic142—21no—
946Dic142—21no—
947Dic142—21no—
948Dic142—21no—
949Dic142—42no—
950Dic142—42no—
951Dic142C22×D412yes—
952C71⋊C8—21no—
953C71⋊C8—21no—
954C71⋊C8—21no—
955C71⋊C8—21no—
956C71⋊C8—21no—
957C71⋊C8—21no—
958C71⋊C8C22×D412yes—
959C71⋊C8C22×D412yes—
960C22×C71—21no—
961C22×C71—21no—
962C22×C71—21no—
963C22×C71—21no—
964C22×C71—21no—
965C22×C71—21no—
966C22×C71—21no—
967C22×C71—21no—
968C22×C71—21no—
969C22×C71—21no—
970C22×C71—22no—
971C22×C71—21no—
972C22×C71—21no—
973C22×C71—21no—
974C22×C71—44no—
975C22×C71—41no—
976C22×C71—41no—
977C22×C71—41no—
978C22×C71—41no—
979C22×C71—41no—
980C22×C71—41no—
981C22×C71—41no—
982C22×C71—41no—
983C22×C71—82no—
984C22×C71—84no—
985C22×C71—84no—
986C22×C71D4212yes—
987C22×C71#57512yescomplemented
988C22×C71C23×D411yescharacteristic
989C2×D71—22no—
990C2×D71—41no—
991C2×D71—41no—
992C2×D71—41no—
993C2×D71—41no—
994C2×D71—41no—
995C2×D71—41no—
996C2×D71—41no—
997C2×D71—41no—
998C2×D71—84no—
999C2×D71—84no—
1000C4×C71—21no—
1001C4×C71—21no—
1002C4×C71—21no—
1003C4×C71—21no—
1004C4×C71—21no—
1005C4×C71—21no—
1006C4×C71—22no—
1007C4×C71—21no—
1008C4×C71—21no—
1009C4×C71—41no—
1010C4×C71—41no—
1011C4×C71—41no—
1012C4×C71—41no—
1013C4×C71D4212yes—
1014C4×C71C23×D411yescharacteristic
1015C4×C71C2×H(5,𝔽2)11yescharacteristic
1016Dic71—22no—
1017Dic71—41no—
1018Dic71—41no—
1019Dic71—41no—
1020Dic71—41no—
1021#61030—711nomaximal, Sylow
1022C2×C71—22no—
1023C2×C71—22no—
1024C2×C71—41no—
1025C2×C71—41no—
1026C2×C71—41no—
1027C2×C71—42no—
1028C2×C71—81no—
1029C2×C71—81no—
1030C2×C71C2×D4211yescharacteristic
1031C2×C71C2×#57511yescharacteristic
1032C2×C71#358411yescharacteristic
1033D71—42no—
1034D71—81no—
1035D71—81no—
1036C2×#575—711no—
1037C22×#135—711no—
1038D4×#41—711no—
1039D4×#41D7111yescharacteristic, complemented
1040#3271—711no—
1041#3271—711no—
1042#3270—711no—
1043#3270—711no—
1044#3269—711no—
1045#3269—711no—
1046#3268—711no—
1047#3268—711no—
1048#3267—711no—
1049#3267—711no—
1050#3266—711no—
1051#3266—711no—
1052#3265—711no—
1053#3265—711no—
1054#3264—711no—
1055#3264—711no—
1056#3150—711no—
1057#3054—711no—
1058#3050—711no—
1059#3035—711no—
1060#3035—711no—
1061#3002—711no—
1062#3002—711no—
1063#3002—711no—
1064#3002—711no—
1065#2943—711no—
1066C2×#435—711no—
1067C71#6103011yescharacteristic, complemented, Sylow
1068C22×#41—711no—
1069C22×#41—711no—
1070C22×#41C2×D7111yescharacteristic, complemented
1071C22×#41C2×D7111yescharacteristic, complemented
1072#575—1428no—
1073C2×#137—711no—
1074C2×#137—711no—
1075C2×#137—711no—
1076C2×#137—711no—
1077C2×AGL(1,ℤ/8)—711no—
1078C2×AGL(1,ℤ/8)—711no—
1079C2×AGL(1,ℤ/8)—711no—
1080C2×AGL(1,ℤ/8)—711no—
1081C2×#135—711no—
1082C2×#135—711no—
1083C2×#135—711no—
1084C2×#135—711no—
1085C2×#135—711no—
1086C2×#135—711no—
1087C2×#135—711no—
1088C2×#135—711no—
1089C2×#135—711no—
1090C2×#135—711no—
1091C2×#135—711no—
1092C2×#135—711no—
1093C2×#135—711no—
1094C2×#135—1428no—
1095C22×Q16—711no—
1096C22×SD16—711no—
1097C22×SD16—711no—
1098C22×D8—711no—
1099C22×M16—711no—
1100C23×C8—711no—
1101#550—711no—
1102#550C2×D7111yescharacteristic, complemented
1103D4×Q8—711no—
1104D4×Q8C2×D7111yescharacteristic, complemented
1105#548—711no—
1106#548—711no—
1107#548C2×D7111yescharacteristic
1108#548C2×D7111yescharacteristic, complemented
1109#547—21no—
1110#547—711no—
1111#547—1421no—
1112#547C2×D7111yescharacteristic, complemented
1113#546—21no—
1114#546—21no—
1115#546—711no—
1116#546—711no—
1117#546—1421no—
1118#546—1421no—
1119#546C2×D7111yescharacteristic
1120#546C2×D7111yescharacteristic, complemented
1121D42—21no—
1122D42—711no—
1123D42—1421no—
1124D42C2×D7111yescharacteristic, complemented
1125#532—21no—
1126#532—711no—
1127#532—1421no—
1128#532C2×D7111yescharacteristic, complemented
1129#525—21no—
1130#525—21no—
1131#525—711no—
1132#525—711no—
1133#525—1421no—
1134#525—1421no—
1135#525C2×D7111yescharacteristic, complemented
1136#525C2×D7111yescharacteristic, complemented
1137C4×#41—711no—
1138C4×#41C2×D7111yescharacteristic, complemented
1139C2×C4×D4—21no—
1140C2×C4×D4—1421no—
1141C2×C4×D4C2×D7111yescharacteristic
1142#497—711no—
1143#497—711no—
1144#497—711no—
1145#497—711no—
1146#496—711no—
1147#496—711no—
1148#496—711no—
1149#496—711no—
1150#470—711no—
1151#470—711no—
1152#469—711no—
1153#469—711no—
1154#468—711no—
1155#468—711no—
1156#468—711no—
1157#468—711no—
1158#467—711no—
1159#467—711no—
1160#466—711no—
1161#466—711no—
1162#465—711no—
1163#465—711no—
1164#465—711no—
1165#465—711no—
1166#464—711no—
1167#464—711no—
1168#464—711no—
1169#464—711no—
1170#463—711no—
1171#463—711no—
1172#463—711no—
1173#463—711no—
1174#462—711no—
1175#462—711no—
1176#461—711no—
1177#461—711no—
1178#460—711no—
1179#460—711no—
1180#459—711no—
1181#459—711no—
1182#452—711no—
1183#452—711no—
1184#452—711no—
1185#452—711no—
1186#452—711no—
1187#452—711no—
1188#452—711no—
1189#452—711no—
1190#451—711no—
1191#451—711no—
1192#451—711no—
1193#451—711no—
1194#450—711no—
1195#450—711no—
1196#450—711no—
1197#450—711no—
1198#449—711no—
1199#449—711no—
1200#449—711no—
1201#449—711no—
1202#449—711no—
1203#449—711no—
1204#449—711no—
1205#449—711no—
1206#448—711no—
1207#448—711no—
1208#448—711no—
1209#448—711no—
1210#447—711no—
1211#447—711no—
1212#447—711no—
1213#447—711no—
1214#442—711no—
1215#442—711no—
1216#441—711no—
1217#441—711no—
1218#440—711no—
1219#440—711no—
1220#440—711no—
1221#440—711no—
1222#435—711no—
1223#435—711no—
1224#435—711no—
1225#435—711no—
1226#435—711no—
1227#435—711no—
1228#435—711no—
1229#435—711no—
1230#427—711no—
1231C2×C4⋊C8—711no—
1232#416—711no—
1233#416—711no—
1234#416—711no—
1235#416—711no—
1236#416—711no—
1237#416—711no—
1238C2×C22⋊C8—711no—
1239C2×C22⋊C8—711no—
1240C2×#97—711no—
1241C2×#41—21no—
1242C2×#41—21no—
1243C2×#41—21no—
1244C2×#41—21no—
1245C2×#41—24no—
1246C2×#41—24no—
1247C2×#41—42no—
1248C2×#41—42no—
1249C2×#41—2842no—
1250C2×#41—2842no—
1251C2×#41—711no—
1252C2×#41—711no—
1253C2×#41—711no—
1254C2×#41—711no—
1255C2×#41—711no—
1256C2×#41—711no—
1257C2×#41—711no—
1258C2×#41—1424no—
1259C2×#41—1424no—
1260C2×#41—1421no—
1261C2×#41—1421no—
1262C2×#41—1421no—
1263C2×#41—1421no—
1264C2×#41C22×D7111yescharacteristic
1265C2×#41C22×D7111yescharacteristic
1266C2×#41C22×D7111yescharacteristic
1267C2×#41C22×D7111yescharacteristic
1268C2×#41C22×D7111yescharacteristic
1269C2×#41C22×D7111yescharacteristic
1270C2×#41C22×D7111yescharacteristic
1271C22×Q8—711no—
1272C22×Q8—711no—
1273C22×Q8C22×D7111yescharacteristic
1274C22×Q8C22×D7111yescharacteristic
1275C22×D4—21no—
1276C22×D4—21no—
1277C22×D4—21no—
1278C22×D4—711no—
1279C22×D4—711no—
1280C22×D4—1421no—
1281C22×D4—1421no—
1282C22×D4—1421no—
1283C22×D4C22⋊D7111yescharacteristic
1284C22×D4C22×D7111yescharacteristic
1285C22×D4C22×D7111yescharacteristic
1286C23×C4—21no—
1287C23×C4—21no—
1288C23×C4—1421no—
1289C23×C4—1421no—
1290C23×C4C22×D7111yescharacteristic
1291C23×C4C22×D7111yescharacteristic
1292#137—1424no—
1293#137—1424no—
1294#137—1424no—
1295#137—1424no—
1296AGL(1,ℤ/8)—1424no—
1297AGL(1,ℤ/8)—1424no—
1298AGL(1,ℤ/8)—1424no—
1299AGL(1,ℤ/8)—1424no—
1300#135—2842no—
1301#135—2842no—
1302#135—718no—
1303#135—1424no—
1304#135—1424no—
1305#135—1424no—
1306#135—1424no—
1307#135—1424no—
1308#135—1424no—
1309#135—1424no—
1310#135—1424no—
1311#135—1424no—
1312#135—1424no—
1313C2×Q16—711no—
1314C2×Q16—711no—
1315C2×Q16—711no—
1316C2×Q16—711no—
1317C2×Q16—711no—
1318C2×Q16—711no—
1319C2×Q16—711no—
1320C2×Q16—711no—
1321C2×Q16—711no—
1322C2×Q16—1424no—
1323C2×SD16—711no—
1324C2×SD16—711no—
1325C2×SD16—711no—
1326C2×SD16—711no—
1327C2×SD16—711no—
1328C2×SD16—711no—
1329C2×SD16—711no—
1330C2×SD16—711no—
1331C2×SD16—711no—
1332C2×SD16—711no—
1333C2×SD16—711no—
1334C2×SD16—711no—
1335C2×SD16—711no—
1336C2×SD16—711no—
1337C2×SD16—711no—
1338C2×SD16—711no—
1339C2×SD16—711no—
1340C2×SD16—711no—
1341C2×SD16—1424no—
1342C2×SD16—1424no—
1343C2×D8—711no—
1344C2×D8—711no—
1345C2×D8—711no—
1346C2×D8—711no—
1347C2×D8—711no—
1348C2×D8—711no—
1349C2×D8—711no—
1350C2×D8—711no—
1351C2×D8—711no—
1352C2×D8—1424no—
1353C2×M16—711no—
1354C2×M16—711no—
1355C2×M16—711no—
1356C2×M16—711no—
1357C2×M16—1424no—
1358C22×C8—711no—
1359C22×C8—711no—
1360C22×C8—711no—
1361C22×C8—711no—
1362C22×C8—711no—
1363C22×C8—711no—
1364C22×C8—711no—
1365C22×C8—711no—
1366C22×C8—1424no—
1367C4⋊Q8—21no—
1368C4⋊Q8—711no—
1369C4⋊Q8—1421no—
1370C4⋊Q8C22×D7111yescharacteristic
1371#127—21no—
1372#127—711no—
1373#127—1421no—
1374#127C22×D7111yescharacteristic
1375#124—21no—
1376#124—21no—
1377#124—711no—
1378#124—711no—
1379#124—1421no—
1380#124—1421no—
1381#124C22×D7111yescharacteristic
1382#124C22×D7111yescharacteristic
1383#123—21no—
1384#123—21no—
1385#123—21no—
1386#123—21no—
1387#123—21no—
1388#123—21no—
1389#123—1421no—
1390#123—1421no—
1391#123—1421no—
1392#123—1421no—
1393#123—1421no—
1394#123—1421no—
1395C22⋊Q8—21no—
1396C22⋊Q8—21no—
1397C22⋊Q8—21no—
1398C22⋊Q8—21no—
1399C22⋊Q8—711no—
1400C22⋊Q8—711no—
1401C22⋊Q8—711no—
1402C22⋊Q8—711no—
1403C22⋊Q8—1421no—
1404C22⋊Q8—1421no—
1405C22⋊Q8—1421no—
1406C22⋊Q8—1421no—
1407C22⋊Q8C22×D7111yescharacteristic
1408C22⋊Q8C22×D7111yescharacteristic
1409C22⋊Q8C22×D7111yescharacteristic
1410C22⋊Q8C22×D7111yescharacteristic
1411#121—21no—
1412#121—21no—
1413#121—21no—
1414#121—21no—
1415#121—21no—
1416#121—21no—
1417#121—21no—
1418#121—21no—
1419#121—21no—
1420#121—21no—
1421#121—711no—
1422#121—711no—
1423#121—711no—
1424#121—711no—
1425#121—1421no—
1426#121—1421no—
1427#121—1421no—
1428#121—1421no—
1429#121—1421no—
1430#121—1421no—
1431#121—1421no—
1432#121—1421no—
1433#121—1421no—
1434#121—1421no—
1435#121C22×D7111yescharacteristic
1436#121C22×D7111yescharacteristic
1437#121C22×D7111yescharacteristic
1438#121C22×D7111yescharacteristic
1439#120—21no—
1440#120—21no—
1441#120—21no—
1442#120—21no—
1443#120—21no—
1444#120—21no—
1445#120—1421no—
1446#120—1421no—
1447#120—1421no—
1448#120—1421no—
1449#120—1421no—
1450#120—1421no—
1451C4×Q8—711no—
1452C4×Q8—711no—
1453C4×Q8C22×D7111yescharacteristic
1454C4×Q8C22×D7111yescharacteristic
1455C4×D4—21no—
1456C4×D4—21no—
1457C4×D4—21no—
1458C4×D4—21no—
1459C4×D4—21no—
1460C4×D4—21no—
1461C4×D4—21no—
1462C4×D4—21no—
1463C4×D4—21no—
1464C4×D4—21no—
1465C4×D4—21no—
1466C4×D4—21no—
1467C4×D4—711no—
1468C4×D4—711no—
1469C4×D4—1421no—
1470C4×D4—1421no—
1471C4×D4—1421no—
1472C4×D4—1421no—
1473C4×D4—1421no—
1474C4×D4—1421no—
1475C4×D4—1421no—
1476C4×D4—1421no—
1477C4×D4—1421no—
1478C4×D4—1421no—
1479C4×D4—1421no—
1480C4×D4—1421no—
1481C4×D4C22⋊D7111yescharacteristic
1482C4×D4C22⋊D7111yescharacteristic
1483C4×D4C22⋊D7111yescharacteristic
1484C4×D4C22⋊D7111yescharacteristic
1485C4×D4C22×D7111yescharacteristic
1486C4×D4C22×D7111yescharacteristic
1487C4×D4C22×D7111yescharacteristic
1488C4×D4C22×D7111yescharacteristic
1489C4×D4C22×D7111yescharacteristic
1490C4×D4C22×D7111yescharacteristic
1491#117—21no—
1492#117—711no—
1493#117—1421no—
1494#117C22×D7111yescharacteristic
1495C2×C4⋊C4—21no—
1496C2×C4⋊C4—1421no—
1497C2×C4⋊C4C22⋊D7111yescharacteristic
1498C2×C22⋊C4—21no—
1499C2×C22⋊C4—21no—
1500C2×C22⋊C4—1421no—
1501C2×C22⋊C4—1421no—
1502C2×C22⋊C4C22⋊D7111yescharacteristic
1503C2×C22⋊C4C22⋊D7111yescharacteristic
1504C2×C42—21no—
1505C2×C42—1421no—
1506C2×C42C22×D7111yescharacteristic
1507#107—711no—
1508#107—711no—
1509#106—711no—
1510#106—711no—
1511C4⋊C8—711no—
1512C4⋊C8—711no—
1513C4⋊C8—711no—
1514C4⋊C8—711no—
1515#103—711no—
1516#103—711no—
1517#103—711no—
1518#103—711no—
1519#103—711no—
1520#103—711no—
1521#103—711no—
1522#103—711no—
1523#103—711no—
1524#103—711no—
1525#103—711no—
1526#103—711no—
1527#102—711no—
1528#102—711no—
1529#102—711no—
1530#102—711no—
1531#102—711no—
1532#102—711no—
1533#102—711no—
1534#102—711no—
1535#102—711no—
1536#102—711no—
1537#102—711no—
1538#102—711no—
1539C22⋊C8—711no—
1540C22⋊C8—711no—
1541C22⋊C8—711no—
1542C22⋊C8—711no—
1543C22⋊C8—711no—
1544C22⋊C8—711no—
1545C22⋊C8—711no—
1546C22⋊C8—711no—
1547#97—711no—
1548#97—711no—
1549#97—711no—
1550#97—711no—
1551C24—21no—
1552C24—21no—
1553C24—1421no—
1554C24—1421no—
1555C24C2×C22⋊D7111yescharacteristic
1556C24C2×C22⋊D7111yescharacteristic
1557#41—22no—
1558#41—22no—
1559#41—22no—
1560#41—22no—
1561#41—22no—
1562#41—22no—
1563#41—22no—
1564#41—22no—
1565#41—22no—
1566#41—44no—
1567#41—44no—
1568#41—41no—
1569#41—41no—
1570#41—41no—
1571#41—41no—
1572#41—44no—
1573#41—44no—
1574#41—2844no—
1575#41—2844no—
1576#41—2841no—
1577#41—2841no—
1578#41—2841no—
1579#41—2841no—
1580#41—2844no—
1581#41—2844no—
1582#41—714no—
1583#41—1422no—
1584#41—1422no—
1585#41—1422no—
1586#41—1422no—
1587#41—1422no—
1588#41—1422no—
1589#41—1422no—
1590#41—1422no—
1591#41—1422no—
1592#41D4×D7114yescomplemented
1593C2×Q8—21no—
1594C2×Q8—21no—
1595C2×Q8—22no—
1596C2×Q8—22no—
1597C2×Q8—41no—
1598C2×Q8—41no—
1599C2×Q8—2841no—
1600C2×Q8—2841no—
1601C2×Q8—711no—
1602C2×Q8—711no—
1603C2×Q8—711no—
1604C2×Q8—1422no—
1605C2×Q8—1422no—
1606C2×Q8—1421no—
1607C2×Q8—1421no—
1608C2×Q8C23×D7111yescharacteristic
1609C2×Q8C23×D7111yescharacteristic
1610C2×Q8C23×D7111yescharacteristic
1611C2×D4—21no—
1612C2×D4—22no—
1613C2×D4—22no—
1614C2×D4—21no—
1615C2×D4—21no—
1616C2×D4—21no—
1617C2×D4—21no—
1618C2×D4—21no—
1619C2×D4—21no—
1620C2×D4—21no—
1621C2×D4—21no—
1622C2×D4—21no—
1623C2×D4—21no—
1624C2×D4—21no—
1625C2×D4—21no—
1626C2×D4—21no—
1627C2×D4—21no—
1628C2×D4—41no—
1629C2×D4—41no—
1630C2×D4—42no—
1631C2×D4—44no—
1632C2×D4—44no—
1633C2×D4—44no—
1634C2×D4—2841no—
1635C2×D4—2841no—
1636C2×D4—2844no—
1637C2×D4—2844no—
1638C2×D4—2844no—
1639C2×D4—711no—
1640C2×D4—711no—
1641C2×D4—711no—
1642C2×D4—1422no—
1643C2×D4—1422no—
1644C2×D4—1421no—
1645C2×D4—1421no—
1646C2×D4—1421no—
1647C2×D4—1421no—
1648C2×D4—1421no—
1649C2×D4—1421no—
1650C2×D4—1421no—
1651C2×D4—1421no—
1652C2×D4—1421no—
1653C2×D4—1421no—
1654C2×D4—1421no—
1655C2×D4—1421no—
1656C2×D4—1421no—
1657C2×D4—1421no—
1658C2×D4—1421no—
1659C2×D4C2×C22⋊D7111yescharacteristic
1660C2×D4C2×C22⋊D7111yescharacteristic
1661C2×D4C2×C22⋊D7111yescharacteristic
1662C2×D4C2×C22⋊D7111yescharacteristic
1663C2×D4C23×D7111yescharacteristic
1664C2×D4C23×D7111yescharacteristic
1665C2×D4C23×D7111yescharacteristic
1666C22×C4—22no—
1667C22×C4—22no—
1668C22×C4—21no—
1669C22×C4—22no—
1670C22×C4—22no—
1671C22×C4—21no—
1672C22×C4—21no—
1673C22×C4—21no—
1674C22×C4—21no—
1675C22×C4—21no—
1676C22×C4—21no—
1677C22×C4—21no—
1678C22×C4—21no—
1679C22×C4—21no—
1680C22×C4—21no—
1681C22×C4—44no—
1682C22×C4—44no—
1683C22×C4—2844no—
1684C22×C4—2844no—
1685C22×C4—1421no—
1686C22×C4—1421no—
1687C22×C4—1421no—
1688C22×C4—1421no—
1689C22×C4—1421no—
1690C22×C4—1421no—
1691C22×C4—1421no—
1692C22×C4—1421no—
1693C22×C4—1421no—
1694C22×C4—1421no—
1695C22×C4—1421no—
1696C22×C4C2×C22⋊D7111yescharacteristic
1697C22×C4C2×C22⋊D7111yescharacteristic
1698C22×C4C2×C22⋊D7111yescharacteristic
1699C22×C4C2×C22⋊D7111yescharacteristic
1700C22×C4C2×C22⋊D7111yescharacteristic
1701C22×C4C2×C22⋊D7111yescharacteristic
1702C22×C4C2×C22⋊D7111yescharacteristic
1703C22×C4C2×C22⋊D7111yescharacteristic
1704C22×C4C23×D7111yescharacteristic
1705C22×C4C23×D7111yescharacteristic
1706C22×C4C23×D7111yescharacteristic
1707C22×C4C23×D7111yescharacteristic
1708C22×C4C23×D7111yescharacteristic
1709Q16—2841no—
1710Q16—2841no—
1711Q16—714no—
1712Q16—1422no—
1713Q16—1422no—
1714Q16—1422no—
1715Q16—1422no—
1716Q16—1422no—
1717Q16—1422no—
1718SD16—2841no—
1719SD16—2841no—
1720SD16—2841no—
1721SD16—2841no—
1722SD16—714no—
1723SD16—714no—
1724SD16—1422no—
1725SD16—1422no—
1726SD16—1422no—
1727SD16—1422no—
1728SD16—1422no—
1729SD16—1422no—
1730SD16—1422no—
1731SD16—1422no—
1732SD16—1422no—
1733SD16—1422no—
1734SD16—1422no—
1735SD16—1422no—
1736D8—2841no—
1737D8—2841no—
1738D8—714no—
1739D8—1422no—
1740D8—1422no—
1741D8—1422no—
1742D8—1422no—
1743D8—1422no—
1744D8—1422no—
1745M16—1422no—
1746M16—1422no—
1747M16—1422no—
1748M16—1422no—
1749C2×C8—714no—
1750C2×C8—711no—
1751C2×C8—711no—
1752C2×C8—711no—
1753C2×C8—711no—
1754C2×C8—711no—
1755C2×C8—711no—
1756C2×C8—711no—
1757C2×C8—711no—
1758C2×C8—1422no—
1759C2×C8—1422no—
1760C2×C8—1422no—
1761C2×C8—1422no—
1762C2×C8—1422no—
1763C2×C8—1422no—
1764C2×C8—1422no—
1765C4⋊C4—21no—
1766C4⋊C4—21no—
1767C4⋊C4—21no—
1768C4⋊C4—21no—
1769C4⋊C4—21no—
1770C4⋊C4—21no—
1771C4⋊C4—21no—
1772C4⋊C4—21no—
1773C4⋊C4—711no—
1774C4⋊C4—711no—
1775C4⋊C4—1421no—
1776C4⋊C4—1421no—
1777C4⋊C4—1421no—
1778C4⋊C4—1421no—
1779C4⋊C4—1421no—
1780C4⋊C4—1421no—
1781C4⋊C4—1421no—
1782C4⋊C4—1421no—
1783C4⋊C4C2×C22⋊D7111yescharacteristic
1784C4⋊C4C2×C22⋊D7111yescharacteristic
1785C4⋊C4C2×C22⋊D7111yescharacteristic
1786C4⋊C4C2×C22⋊D7111yescharacteristic
1787C4⋊C4C23×D7111yescharacteristic
1788C4⋊C4C23×D7111yescharacteristic
1789C22⋊C4—21no—
1790C22⋊C4—21no—
1791C22⋊C4—21no—
1792C22⋊C4—21no—
1793C22⋊C4—21no—
1794C22⋊C4—21no—
1795C22⋊C4—21no—
1796C22⋊C4—21no—
1797C22⋊C4—21no—
1798C22⋊C4—21no—
1799C22⋊C4—21no—
1800C22⋊C4—21no—
1801C22⋊C4—21no—
1802C22⋊C4—21no—
1803C22⋊C4—21no—
1804C22⋊C4—1421no—
1805C22⋊C4—1421no—
1806C22⋊C4—1421no—
1807C22⋊C4—1421no—
1808C22⋊C4—1421no—
1809C22⋊C4—1421no—
1810C22⋊C4—1421no—
1811C22⋊C4—1421no—
1812C22⋊C4—1421no—
1813C22⋊C4—1421no—
1814C22⋊C4—1421no—
1815C22⋊C4—1421no—
1816C22⋊C4—1421no—
1817C22⋊C4—1421no—
1818C22⋊C4—1421no—
1819C22⋊C4C2×C22⋊D7111yescharacteristic
1820C22⋊C4C2×C22⋊D7111yescharacteristic
1821C22⋊C4C2×C22⋊D7111yescharacteristic
1822C22⋊C4C2×C22⋊D7111yescharacteristic
1823C22⋊C4C2×C22⋊D7111yescharacteristic
1824C22⋊C4C2×C22⋊D7111yescharacteristic
1825C22⋊C4C2×C22⋊D7111yescharacteristic
1826C22⋊C4C2×C22⋊D7111yescharacteristic
1827C42—21no—
1828C42—21no—
1829C42—21no—
1830C42—1421no—
1831C42—1421no—
1832C42—1421no—
1833C42C2×C22⋊D7111yescharacteristic
1834C42C2×C22⋊D7111yescharacteristic
1835C42C23×D7111yescharacteristic
1836C42C23×D7111yescharacteristic
1837C23—21no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—21no—
1842C23—21no—
1843C23—41no—
1844C23—41no—
1845C23—41no—
1846C23—42no—
1847C23—42no—
1848C23—42no—
1849C23—42no—
1850C23—81no—
1851C23—81no—
1852C23—2842no—
1853C23—2842no—
1854C23—2842no—
1855C23—2842no—
1856C23—5681no—
1857C23—5681no—
1858C23—1421no—
1859C23—1421no—
1860C23—1421no—
1861C23C22×C22⋊D7111yescharacteristic
1862C23C22×C22⋊D7111yescharacteristic
1863C23C22×C22⋊D7111yescharacteristic
1864C23C22×C22⋊D7111yescharacteristic
1865C23C22×C22⋊D7111yescharacteristic
1866Q8—21no—
1867Q8—21no—
1868Q8—21no—
1869Q8—21no—
1870Q8—21no—
1871Q8—42no—
1872Q8—42no—
1873Q8—2842no—
1874Q8—2842no—
1875Q8—712no—
1876Q8—1421no—
1877Q8—1421no—
1878Q8—1421no—
1879Q8—1421no—
1880Q8—1421no—
1881Q8C2×D4×D7112yes—
1882D4—24no—
1883D4—22no—
1884D4—22no—
1885D4—21no—
1886D4—21no—
1887D4—21no—
1888D4—21no—
1889D4—21no—
1890D4—41no—
1891D4—41no—
1892D4—42no—
1893D4—42no—
1894D4—42no—
1895D4—42no—
1896D4—42no—
1897D4—42no—
1898D4—42no—
1899D4—42no—
1900D4—42no—
1901D4—42no—
1902D4—42no—
1903D4—81no—
1904D4—81no—
1905D4—81no—
1906D4—2842no—
1907D4—2842no—
1908D4—2842no—
1909D4—2842no—
1910D4—2842no—
1911D4—2842no—
1912D4—2842no—
1913D4—2842no—
1914D4—2842no—
1915D4—2842no—
1916D4—2842no—
1917D4—5681no—
1918D4—5681no—
1919D4—5681no—
1920D4—712no—
1921D4—1424no—
1922D4—1421no—
1923D4—1421no—
1924D4—1421no—
1925D4—1421no—
1926D4—1421no—
1927D4C2×D4×D7112yes—
1928C2×C4—21no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—24no—
1944C2×C4—21no—
1945C2×C4—21no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—41no—
1949C2×C4—41no—
1950C2×C4—42no—
1951C2×C4—42no—
1952C2×C4—42no—
1953C2×C4—42no—
1954C2×C4—42no—
1955C2×C4—42no—
1956C2×C4—42no—
1957C2×C4—42no—
1958C2×C4—42no—
1959C2×C4—81no—
1960C2×C4—2842no—
1961C2×C4—2842no—
1962C2×C4—2842no—
1963C2×C4—2842no—
1964C2×C4—2842no—
1965C2×C4—2842no—
1966C2×C4—2842no—
1967C2×C4—2842no—
1968C2×C4—2842no—
1969C2×C4—5681no—
1970C2×C4—1421no—
1971C2×C4—1421no—
1972C2×C4—1421no—
1973C2×C4—1421no—
1974C2×C4—1421no—
1975C2×C4—1424no—
1976C2×C4C2×D4×D7112yes—
1977C2×C4C22×C22⋊D7111yescharacteristic
1978C2×C4C22×C22⋊D7111yescharacteristic
1979C2×C4C22×C22⋊D7111yescharacteristic
1980C2×C4C22×C22⋊D7111yescharacteristic
1981C2×C4C22×C22⋊D7111yescharacteristic
1982C2×C4C22×C22⋊D7111yescharacteristic
1983C2×C4C22×C22⋊D7111yescharacteristic
1984C2×C4C22×C22⋊D7111yescharacteristic
1985C2×C4C22×C22⋊D7111yescharacteristic
1986C2×C4#1455617312yes—
1987C2×C4C24×D7111yescharacteristic
1988C8—712no—
1989C8—712no—
1990C8—1421no—
1991C8—1421no—
1992C8—1421no—
1993C8—1421no—
1994C8—1421no—
1995C8—1421no—
1996C22—21no—
1997C22—21no—
1998C22—21no—
1999C22—21no—
2000C22—21no—
2001C22—21no—
2002C22—21no—
2003C22—22no—
2004C22—21no—
2005C22—21no—
2006C22—21no—
2007C22—21no—
2008C22—21no—
2009C22—21no—
2010C22—44no—
2011C22—41no—
2012C22—41no—
2013C22—41no—
2014C22—41no—
2015C22—41no—
2016C22—41no—
2017C22—41no—
2018C22—41no—
2019C22—82no—
2020C22—84no—
2021C22—84no—
2022C22—2841no—
2023C22—2841no—
2024C22—2841no—
2025C22—2841no—
2026C22—2841no—
2027C22—2841no—
2028C22—2841no—
2029C22—2841no—
2030C22—5684no—
2031C22—5684no—
2032C22—1422no—
2033C22D4×C22⋊D7112yes—
2034C22#1798679712yescomplemented
2035C22C23×C22⋊D7111yescharacteristic
2036C4—21no—
2037C4—21no—
2038C4—21no—
2039C4—21no—
2040C4—22no—
2041C4—21no—
2042C4—21no—
2043C4—21no—
2044C4—21no—
2045C4—41no—
2046C4—41no—
2047C4—41no—
2048C4—41no—
2049C4—2841no—
2050C4—2841no—
2051C4—2841no—
2052C4—2841no—
2053C4—1422no—
2054C4D4×C22⋊D7112yes—
2055C4C22×D4×D7111yescharacteristic
2056C4C2×#1455617311yescharacteristic
2057C2—22no—
2058C2—22no—
2059C2—41no—
2060C2—41no—
2061C2—41no—
2062C2—42no—
2063C2—81no—
2064C2—81no—
2065C2—2842no—
2066C2—5681no—
2067C2—5681no—
2068C2C2×D4×C22⋊D7111yescharacteristic
2069C2C2×#1798679711yescharacteristic
2070C2#2260311111yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingD4×#41×C71C2
socleC22×C71C23×D4
hypercenterD4×#41D71
hypocenterC71#61030
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. C2×#17986797C2semidirect
2. C22×#14556148C2semidirect
3. D4×#11765865C2semidirect
4. #22599926C2semidirect
5. #22599921C2semidirect
6. #22599911C2semidirect
7. #22599906C2semidirect
8. #22599896C2semidirect
9. #22599891C2semidirect
10. #22599881C2semidirect
11. #22599876C2semidirect
12. #22599866C2semidirect
13. #22599861C2semidirect
14. #22599851C2semidirect
15. #22599846C2semidirect
16. #22599836C2semidirect
17. #22599831C2semidirect
18. #22599821C2semidirect
19. #22599816C2semidirect
20. #22598785C2semidirect
21. #22597946C2semidirect
22. #22597918C2semidirect
23. #22597795C2semidirect
24. #22597789C2semidirect
25. #22597558C2semidirect
26. #22597558C2semidirect
27. #22597556C2semidirect
28. #22597556C2semidirect
29. #22597138C2semidirect
30. C2×#17986071C2semidirect
31. D4×#41×C71C2semidirect
32. C22×#11765865C22semidirect
33. C22×#11765865C22semidirect
35. C2×#14556159C22semidirect
36. C2×#14556159C22semidirect
37. C2×#14556158C22semidirect
38. C2×#14556158C22semidirect
39. C2×#14556154C22semidirect
40. C2×#14556154C22semidirect
41. C2×#14556153C22semidirect
42. C2×#14556153C22semidirect
45. C2×#14556148C22semidirect
46. C2×#14556148C22semidirect
47. C2×#14556148C22semidirect
48. C2×#14556148C22semidirect
49. C2×#14556148C22semidirect
50. C2×#14556148C22semidirect
51. C2×#14556148C22semidirect
52. C2×#14556148C22semidirect
53. C2×#14556148C22semidirect
54. C2×#14556148C22semidirect
55. C2×#14556148C22semidirect
56. C2×#14556148C22semidirect
57. C22×#11765855C22semidirect
58. C22×#11765853C22semidirect
59. C22×#11765852C22semidirect
60. C22×#11765850C22semidirect
61. C22×#11765849C22semidirect
62. C23×C71⋊C8C22semidirect
63. #17986670C22semidirect
64. D4×Dic142C22semidirect
66. #17986658C22semidirect
67. #17986654C22semidirect
70. #17986645C22semidirect
73. D4×D284C22semidirect
75. #17986549C22semidirect
77. #17986510C22semidirect
78. #17986510C22semidirect
81. C4×#11765865C22semidirect
83. #17986394C22semidirect
84. #17986394C22semidirect
85. #17986391C22semidirect
86. #17986391C22semidirect
87. #17986389C22semidirect
88. #17986389C22semidirect
89. #17986386C22semidirect
90. #17986386C22semidirect
91. #17986255C22semidirect
92. #17986255C22semidirect
93. #17986250C22semidirect
94. #17986250C22semidirect
95. #17986247C22semidirect
96. #17986247C22semidirect
97. #17986243C22semidirect
98. #17986243C22semidirect
99. #17986238C22semidirect
100. #17986238C22semidirect
101. #17986233C22semidirect
102. #17986233C22semidirect
103. #17986230C22semidirect
104. #17986230C22semidirect
105. #17986226C22semidirect
106. #17986226C22semidirect
107. #17986221C22semidirect
108. #17986221C22semidirect
109. #17986218C22semidirect
110. #17986218C22semidirect
111. #17986214C22semidirect
112. #17986214C22semidirect
113. #17986211C22semidirect
114. #17986211C22semidirect
115. #17986209C22semidirect
116. #17986206C22semidirect
117. #17986204C22semidirect
118. #17986201C22semidirect
119. #17986199C22semidirect
120. #17986196C22semidirect
121. #17986194C22semidirect
122. #17986191C22semidirect
123. #17986161C22semidirect
124. #17986161C22semidirect
125. #17986161C22semidirect
126. #17986161C22semidirect
127. #17986159C22semidirect
128. #17986159C22semidirect
129. #17986159C22semidirect
130. #17986159C22semidirect
131. #17986155C22semidirect
132. #17986155C22semidirect
133. #17986154C22semidirect
134. #17986154C22semidirect
135. #17986150C22semidirect
136. #17986150C22semidirect
137. #17986149C22semidirect
138. #17986149C22semidirect
139. #17986144C22semidirect
140. #17986144C22semidirect
141. #17986144C22semidirect
142. #17986144C22semidirect
143. #17986142C22semidirect
144. #17986142C22semidirect
145. #17986142C22semidirect
146. #17986142C22semidirect
147. #17986138C22semidirect
148. #17986138C22semidirect
149. #17986137C22semidirect
150. #17986137C22semidirect
151. #17986133C22semidirect
152. #17986133C22semidirect
153. #17986132C22semidirect
154. #17986132C22semidirect
155. #17986109C22semidirect
156. #17986109C22semidirect
157. #17986104C22semidirect
158. #17986104C22semidirect
159. #17986099C22semidirect
160. #17986099C22semidirect
161. #17986097C22semidirect
162. #17986097C22semidirect
163. #17986071C22semidirect
164. #17986071C22semidirect
165. #17986071C22semidirect
166. #17986071C22semidirect
167. #17986071C22semidirect
168. #17986071C22semidirect
169. #17986071C22semidirect
170. #17986071C22semidirect
171. #17986035C22semidirect
172. C2×C4⋊(C71⋊C8)C22semidirect
173. #17985995C22semidirect
174. #17985995C22semidirect
175. #17985995C22semidirect
176. #17985993C22semidirect
177. #17985993C22semidirect
178. #17985993C22semidirect
179. C2×C22⋊(C71⋊C8)C22semidirect
180. C2×C22⋊(C71⋊C8)C22semidirect
181. C2×#14556039C22semidirect
182. C22×#41×C71C22semidirect
183. C22×#41×C71C22semidirect
184. #550×C71C22semidirect
185. D4×Q8×C71C22semidirect
187. #548×C71C22semidirect
189. #547×C71C22semidirect
193. #546×C71C22semidirect
195. D42×C71C22semidirect
197. #532×C71C22semidirect
200. #525×C71C22semidirect
201. #525×C71C22semidirect
202. C4×#41×C71C22semidirect
249. #14556148D4semidirect
534. #11765865C2×D4semidirect
590. #11765855C2×D4semidirect
599. #11765853C2×D4semidirect
608. #11765852C2×D4semidirect
617. #11765850C2×D4semidirect
629. C2×C71⋊C8C2×D4semidirect
687. #41×C71C2×D4semidirect
987. C22×C71#575semidirect
1039. D4×#41D71semidirect
1067. C71#61030semidirect
1070. C22×#41C2×D71semidirect
1071. C22×#41C2×D71semidirect
1102. #550C2×D71semidirect
1104. D4×Q8C2×D71semidirect
1108. #548C2×D71semidirect
1112. #547C2×D71semidirect
1120. #546C2×D71semidirect
1124. D42C2×D71semidirect
1128. #532C2×D71semidirect
1135. #525C2×D71semidirect
1136. #525C2×D71semidirect
1138. C4×#41C2×D71semidirect
1592. #41D4×D71semidirect
2034. C22#17986797semidirect

Maximal subgroups

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

subgroupindex
C2×#179867972
C22×#145561482
D4×#117658652
#225999262
#225999212
#225999112
#225999062
#225998962
#225998912
#225998812
#225998762
#225998662
#225998612
#225998512
#225998462
#225998362
#225998312
#225998212
#225998162
#225987852
#225979462
#225979182
#225977952
#225977892
#225975582
#225975562
#225971382
C2×#179860712
D4×#41×C712
#6103071