Finite Group Databasebeta

← #32876555

Subgroups — #32876555

Order 18176.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602064C211yesmaximal, characteristic, complemented
2#22602042C211yesmaximal, characteristic, complemented
3#22600965C211yesmaximal, characteristic, complemented
4#22600959C211yesmaximal, characteristic, complemented
5#22600947C211yesmaximal, characteristic, complemented
6#22600946C211yesmaximal, characteristic, complemented
7#22600847C211yesmaximal, characteristic, complemented
8#22600846C211yesmaximal, characteristic, complemented
9#22600822C211yesmaximal, characteristic, complemented
10#22600821C211yesmaximal, characteristic, complemented
11#22600816C211yesmaximal, characteristic, complemented
12#22600810C211yesmaximal, characteristic, complemented
13#22600776C211yesmaximal, characteristic, complemented
14#22600774C211yesmaximal, characteristic, complemented
15#22600723C211yesmaximal, characteristic, complemented
16#22600721C211yesmaximal, characteristic, complemented
17#22600682C211yesmaximal, characteristic, complemented
18#22598873C211yesmaximal, characteristic, complemented
19#22598313C211yesmaximal, characteristic, complemented
20#22598291C211yesmaximal, characteristic, complemented
21#22598248C211yesmaximal, characteristic, complemented
22#480×D71C211yesmaximal, characteristic, complemented
23#22598186C211yesmaximal, characteristic, complemented
24#22598164C211yesmaximal, characteristic, complemented
25#22598019C211yesmaximal, characteristic, complemented
26#22597956C211yesmaximal, characteristic, complemented
27#22597165C211yesmaximal, characteristic, complemented
28#22597060C211yesmaximal, characteristic, complemented
29#22596936C211yesmaximal, characteristic, complemented
30C2×#17986040C211yesmaximal, characteristic, complemented
31C71×#3334C211yesmaximal, characteristic, complemented
32C2×#14556152C2211yescharacteristic
33C2×#14556134C2211yescharacteristic
34C22×#11765848C2211yescharacteristic
35#17986715C2211yescharacteristic
36#17986713C2211yescharacteristic
37#17986710C2211yescharacteristic, complemented
38#17986704C2211yescharacteristic, complemented
39#17986703—21no—
40#17986701C2211yescharacteristic
41#17986699C2211yescharacteristic
42#17986699C2211yescharacteristic, complemented
43#17986697C2211yescharacteristic
44#17986696C2211yescharacteristic, complemented
45#17986695C2211yescharacteristic
46#17986694—21no—
47#17986689C2211yescharacteristic, complemented
48#17986686—21no—
49#17986684C2211yescharacteristic, complemented
50#17986677—21no—
51#17986676—21no—
52#17986650C2211yescharacteristic
53#17986649C2211yescharacteristic, complemented
54#17986648—21no—
55#17986641—21no—
56#17986637—21no—
57#17986626C2211yescharacteristic
58#17986626C2211yescharacteristic
59#17986619—21no—
60#17986601—21no—
61#17986595—21no—
62#17986592—21no—
63#17986578C2211yescharacteristic
64#17986565C2211yescharacteristic
65#17986545—21no—
66#17986526—21no—
67#17986509C2211yescharacteristic
68#17986508C2211yescharacteristic
69#17986507—21no—
70#17986506—21no—
71#121×D71C2211yescharacteristic
72#17986480C2211yescharacteristic
73#17986480C2211yescharacteristic
74#17986478C2211yescharacteristic
75#17986471C2211yescharacteristic
76C2×#14556086C2211yescharacteristic
77C2×C4⋊C4×D71C2211yescharacteristic
78#17986407C2211yescharacteristic, complemented
79#17986407C2211yescharacteristic, complemented
80#17986405C2211yescharacteristic, complemented
81#17986405C2211yescharacteristic, complemented
82#17986403C2211yescharacteristic, complemented
83#17986401C2211yescharacteristic, complemented
84#17986400C2211yescharacteristic, complemented
85#17986342C2211yescharacteristic, complemented
86#17986342C2211yescharacteristic, complemented
87#17986342C2211yescharacteristic, complemented
88#17986341C2211yescharacteristic, complemented
89#17986336C2211yescharacteristic, complemented
90#17986335C2211yescharacteristic, complemented
91#17986334C2211yescharacteristic, complemented
92#17986329C2211yescharacteristic, complemented
93#17986326C2211yescharacteristic, complemented
94#17986324C2211yescharacteristic, complemented
95#17986322C2211yescharacteristic, complemented
96#17986321C2211yescharacteristic, complemented
97#17986321C2211yescharacteristic, complemented
98#17986321C2211yescharacteristic, complemented
99#17986320C2211yescharacteristic, complemented
100#17986320C2211yescharacteristic, complemented
101#17986317C2211yescharacteristic, complemented
102#17986316C2211yescharacteristic, complemented
103#17986315C2211yescharacteristic, complemented
104#17986314C2211yescharacteristic
105#17986314C2211yescharacteristic
106#17986314C2211yescharacteristic, complemented
107#17986313C2211yescharacteristic
108#17986312C2211yescharacteristic
109#17986311C2211yescharacteristic
110#17986311C2211yescharacteristic
111#17986311C2211yescharacteristic, complemented
112#17986310C2211yescharacteristic
113#17986307C2211yescharacteristic, complemented
114#17986305C2211yescharacteristic, complemented
115#17986302C2211yescharacteristic, complemented
116#17986301C2211yescharacteristic, complemented
117#17986300C2211yescharacteristic, complemented
118#17986299C2211yescharacteristic, complemented
119#17986299C2211yescharacteristic, complemented
120#17986297C2211yescharacteristic, complemented
121#17986293C2211yescharacteristic, complemented
122#17986291C2211yescharacteristic, complemented
123#17986287C2211yescharacteristic, complemented
124#17986286C2211yescharacteristic, complemented
125#17986278C2211yescharacteristic, complemented
126#17986277C2211yescharacteristic, complemented
127#17986251C2211yescharacteristic
128#17986250C2211yescharacteristic, complemented
129#17986249C2211yescharacteristic
130#17986249C2211yescharacteristic, complemented
131#17986246C2211yescharacteristic
132#17986246C2211yescharacteristic, complemented
133#17986244C2211yescharacteristic
134#17986243C2211yescharacteristic, complemented
135#17986234C2211yescharacteristic, complemented
136#17986233C2211yescharacteristic
137#17986228C2211yescharacteristic
138#17986228C2211yescharacteristic, complemented
139#17986227C2211yescharacteristic, complemented
140#17986226C2211yescharacteristic
141#17986111C2211yescharacteristic, complemented
142#17986109C2211yescharacteristic, complemented
143#17986099C2211yescharacteristic, complemented
144#17986098C2211yescharacteristic, complemented
145#17986090C2211yescharacteristic, complemented
146C4×#11765854C2211yescharacteristic, complemented
147#17986079C2211yescharacteristic, complemented
148#17986078C2211yescharacteristic, complemented
149#17986074C2211yescharacteristic, complemented
150#17986071C2211yescharacteristic, complemented
151#17986070C2211yescharacteristic, complemented
152#17986070C2211yescharacteristic, complemented
153#17986069C2211yescharacteristic, complemented
154(C22⋊D71)⋊C8C2211yescharacteristic, complemented
155#17986040C2211yescharacteristic
156#17986040C2211yescharacteristic
157#17986040C2211yescharacteristic
158#17986040C2211yescharacteristic
159#17986040C2211yescharacteristic
160#17986040C2211yescharacteristic, complemented
161#17986040C2211yescharacteristic, complemented
162#17986040C2211yescharacteristic, complemented
163#17986040C2211yescharacteristic, complemented
164#17986040C2211yescharacteristic, complemented
165#17986040C2211yescharacteristic, complemented
166#17986039C2211yescharacteristic, complemented
167#17986039C2211yescharacteristic, complemented
168#17986037C2211yescharacteristic, complemented
169#17986036C2211yescharacteristic
170#17986036C2211yescharacteristic
171#17986036C2211yescharacteristic, complemented
172C2×#14556061C2211yescharacteristic, complemented
173#107×D71C2211yescharacteristic
174#107×D71C2211yescharacteristic
175#107×D71C2211yescharacteristic, complemented
176C2×#14556060C2211yescharacteristic, complemented
177C2×#14556059C2211yescharacteristic, complemented
178#17986024C2211yescharacteristic
179#17986002C2211yescharacteristic
180#17985997C2211yescharacteristic
181#17985992C2211yescharacteristic
182#17985992C2211yescharacteristic
183#102×D71C2211yescharacteristic
184#102×D71C2211yescharacteristic
185#17985964C2211yescharacteristic
186C22⋊C8×D71C2211yescharacteristic
187#17985953C2211yescharacteristic
188#547×C71C2211yescharacteristic
189#547×C71C2211yescharacteristic, complemented
190#500×C71C2211yescharacteristic, complemented
191#480×C71C2211yescharacteristic
192#480×C71C2211yescharacteristic, complemented
193#480×C71C2211yescharacteristic, complemented
194#480×C71C2211yescharacteristic, complemented
195#474×C71C2211yescharacteristic, complemented
196#474×C71C2211yescharacteristic, complemented
197#466×C71C2211yescharacteristic
198#466×C71C2211yescharacteristic, complemented
199C4×D8×C71C2211yescharacteristic, complemented
200C8×D4×C71C2211yescharacteristic, complemented
201C2×#107×C71C2211yescharacteristic, complemented
202C2×#107×C71C2211yescharacteristic, complemented
203C2×#11765865—21no—
204C2×#11765865C2311yescharacteristic
205C2×#11765864—21no—
206C2×#11765864C2311yescharacteristic
207C2×D4×D71—21no—
208C2×D4×D71C2311yescharacteristic
209C22×C4×D71—21no—
210C22×C4×D71C2311yescharacteristic
211#14556152—24no—
212C2×#11765854C2311yescharacteristic
213C2×#11765853C2311yescharacteristic
214C2×#11765850C2311yescharacteristic
215#14556134—24no—
216C2×#11765849C2311yescharacteristic
217C2×#11765848—24no—
218C2×#11765848C2311yescharacteristic
219C2×#11765848C2311yescharacteristic
220C2×#11765848C2311yescharacteristic
221C2×#11765848C2311yescharacteristic
222C2×#11765848C2311yescharacteristic
223C22×C71⋊C8C2311yescharacteristic
224C2×C8×D71C2311yescharacteristic
225C2×C8×D71C2311yescharacteristic
226C2×C8×D71C2311yescharacteristic
227#14556127C2311yescharacteristic
228#14556127C2311yescharacteristic
229#14556126—21no—
230#14556126—21no—
231#14556124—21no—
232#14556123—21no—
233#14556123—21no—
234#14556123—21no—
235#14556121—21no—
236#14556121—21no—
237#14556121—21no—
238#14556121—21no—
239#14556121—21no—
240#14556120C2311yescharacteristic
241#14556120C2311yescharacteristic
242#14556119—21no—
243#14556119C2311yescharacteristic
244#14556119C2311yescharacteristic
245#14556118—21no—
246#14556118—21no—
247#14556118—21no—
248#14556118—21no—
249#14556118—21no—
250#14556117—21no—
251#14556117—21no—
252#14556115—21no—
253#14556114—21no—
254#14556114—21no—
255#14556113—21no—
256#14556113—21no—
257#14556113D411yescharacteristic
258#14556112—21no—
259#14556111—21no—
260#14556111—21no—
261#14556111—21no—
262#14556111—21no—
263#14556110—21no—
264#14556110—21no—
265#14556110—21no—
266#14556110D411yescharacteristic
267#14556109—21no—
268#14556109—21no—
269#14556109—21no—
270#14556108C2311yescharacteristic
271#14556108C2311yescharacteristic
272#14556107—21no—
273#14556107C2311yescharacteristic
274#14556107C2311yescharacteristic
275#14556106—21no—
276#14556106—21no—
277#14556106—21no—
278#14556106—21no—
279#14556106D411yescharacteristic
280#14556105—21no—
281#14556105—21no—
282#14556105D411yescharacteristic
283#14556104—21no—
284#14556104—21no—
285#14556104—21no—
286#14556104—21no—
287#14556103—21no—
288#14556103C2311yescharacteristic
289#14556103C2311yescharacteristic
290#14556102—21no—
291#14556102C2311yescharacteristic
292#14556102C2311yescharacteristic
293#14556101—21no—
294#14556101—21no—
295#14556101—21no—
296#14556101—21no—
297#14556101D411yescharacteristic
298#14556100—21no—
299#14556100—21no—
300#14556100—21no—
301#14556100—21no—
302#14556100—21no—
303#14556100D411yescharacteristic
304#14556099—21no—
305#14556099—21no—
306#14556099C2311yescharacteristic
307#14556099C2311yescharacteristic
308#14556099C2311yescharacteristic
309#14556099C2311yescharacteristic
310#14556098—21no—
311#14556098D411yescharacteristic
312#14556096—21no—
313#14556096—21no—
314#14556096D411yescharacteristic
315C4×Dic142C2311yescharacteristic
316#14556093—21no—
317#14556093—21no—
318#14556093C2311yescharacteristic
319C4×D284C2311yescharacteristic
320C4×D284C2311yescharacteristic
321D4×Dic71—21no—
322D4×Dic71—21no—
323D4×Dic71C2311yescharacteristic
324D4×Dic71C2311yescharacteristic
325#14556090—21no—
326#14556090—21no—
327#14556090—21no—
328#14556090C2311yescharacteristic
329C4×C22⋊D71—21no—
330C4×C22⋊D71—21no—
331C4×C22⋊D71—21no—
332C4×C22⋊D71—21no—
333C4×C22⋊D71—21no—
334C4×C22⋊D71—21no—
335C4×C22⋊D71—21no—
336C4×C22⋊D71—21no—
337C4×C22⋊D71—21no—
338C4×C22⋊D71—21no—
339C4×C22⋊D71C2311yescharacteristic
340C4×C22⋊D71C2311yescharacteristic
341(C22⋊D71)⋊C4—21no—
342(C22⋊D71)⋊C4—21no—
343(C22⋊D71)⋊C4—21no—
344(C22⋊D71)⋊C4—21no—
345(C22⋊D71)⋊C4—21no—
346#14556087—21no—
347#14556087C2311yescharacteristic
348#14556087C2311yescharacteristic
349#14556086—21no—
350#14556086—21no—
351#14556086—21no—
352#14556086C2311yescharacteristic
353#14556086C2311yescharacteristic
354#14556086C2311yescharacteristic
355#14556086C2311yescharacteristic
356#14556086C2311yescharacteristic
357#14556086C2311yescharacteristic
358#14556086C2311yescharacteristic
359#14556085C2311yescharacteristic
360#14556084—21no—
361#14556084—21no—
362#14556084—21no—
363C2×C4⋊Dic71C2311yescharacteristic
364C2×C4⋊Dic71C2311yescharacteristic
365C2×Dic71⋊C4—21no—
366C2×Dic71⋊C4—21no—
367C4⋊C4×D71—21no—
368C4⋊C4×D71—21no—
369C4⋊C4×D71C2311yescharacteristic
370C4⋊C4×D71C2311yescharacteristic
371C4⋊C4×D71C2311yescharacteristic
372C4⋊C4×D71C2311yescharacteristic
373C4⋊C4×D71C2311yescharacteristic
374C4⋊C4×D71C2311yescharacteristic
375C4⋊C4×D71C2311yescharacteristic
376C2×(C2×D71)⋊C4—21no—
377C2×(C2×D71)⋊C4—21no—
378C22⋊C4×D71—21no—
379C22⋊C4×D71—21no—
380C2×C4×Dic71—21no—
381#14556062C2311yescharacteristic
382#14556062C2311yescharacteristic
383#14556062C2311yescharacteristic
384#14556062C2311yescharacteristic
385#14556061C2311yescharacteristic
386#14556061C2311yescharacteristic
387#14556061C2311yescharacteristic
388#14556061C2311yescharacteristic
389#14556061C2311yescharacteristic
390#14556061C2311yescharacteristic
391#14556061C2311yescharacteristic
392#14556061C2311yescharacteristic
393#14556061C2311yescharacteristic
394#14556060C2311yescharacteristic
395#14556060C2311yescharacteristic
396#14556060C2311yescharacteristic
397#14556060C2311yescharacteristic
398#14556060C2311yescharacteristic
399#14556059C2311yescharacteristic
400#14556059C2311yescharacteristic
401#14556059C2311yescharacteristic
402#14556059C2311yescharacteristic
403#14556059C2311yescharacteristic
404#14556059C2311yescharacteristic
405#14556059C2311yescharacteristic
406#14556059C2311yescharacteristic
407#14556059C2311yescharacteristic
408C4⋊(C71⋊C8)C2311yescharacteristic
409Dic71⋊C8C2311yescharacteristic
410Dic71⋊C8C2311yescharacteristic
411#14556053C2311yescharacteristic
412#14556053C2311yescharacteristic
413#14556053C2311yescharacteristic
414#14556051C2311yescharacteristic
415#14556051C2311yescharacteristic
416#14556051C2311yescharacteristic
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic
420#14556049C2311yescharacteristic
421#14556049C2311yescharacteristic
422#14556049C2311yescharacteristic
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic
425#14556049C2311yescharacteristic
426#14556048C2311yescharacteristic
427#14556048C2311yescharacteristic
428#14556048C2311yescharacteristic
429C22⋊(C71⋊C8)C2311yescharacteristic
430C22⋊(C71⋊C8)C2311yescharacteristic
431(C2×D71)⋊C8C2311yescharacteristic
432(C2×D71)⋊C8C2311yescharacteristic
433(C2×D71)⋊C8C2311yescharacteristic
434(C2×D71)⋊C8C2311yescharacteristic
435#14556039C2311yescharacteristic
436#14556038C2311yescharacteristic
437C8×Dic71C2311yescharacteristic
438C2×#41×C71—21no—
439C2×#41×C71—21no—
440C2×D8×C71C2311yescharacteristic
441C22×C8×C71C2311yescharacteristic
442C22×C8×C71C2311yescharacteristic
443C4⋊Q8×C71C2311yescharacteristic
444C4⋊Q8×C71C2311yescharacteristic
445#123×C71—21no—
446#123×C71—21no—
447#123×C71—21no—
448#123×C71—21no—
449C22⋊Q8×C71—21no—
450C22⋊Q8×C71—21no—
451#121×C71C2311yescharacteristic
452#121×C71C2311yescharacteristic
453#121×C71C2311yescharacteristic
454#121×C71C2311yescharacteristic
455C4×D4×C71C2311yescharacteristic
456C4×D4×C71C2311yescharacteristic
457C4×D4×C71C2311yescharacteristic
458C2×C4⋊C4×C71C2311yescharacteristic
459C2×C4⋊C4×C71C2311yescharacteristic
460C2×C4⋊C4×C71C2311yescharacteristic
461C2×C4⋊C4×C71C2311yescharacteristic
462#107×C71C2311yescharacteristic
463#107×C71C2311yescharacteristic
464#107×C71C2311yescharacteristic
465#107×C71C2311yescharacteristic
466#107×C71C2311yescharacteristic
467#107×C71C2311yescharacteristic
468#107×C71C2311yescharacteristic
469#107×C71C2311yescharacteristic
470#107×C71C2311yescharacteristic
471C4⋊C8×C71C2311yescharacteristic
472#102×C71C2311yescharacteristic
473#102×C71C2311yescharacteristic
474#102×C71C2311yescharacteristic
475#102×C71C2311yescharacteristic
476#102×C71C2311yescharacteristic
477#102×C71C2311yescharacteristic
478C22⋊C8×C71C2311yescharacteristic
479C22⋊C8×C71C2311yescharacteristic
480C4×C8×C71C2311yescharacteristic
481C23×D71—21no—
482C23×D71C2×D411yescharacteristic
483#11765865—22no—
484#11765865—22no—
485#11765865—82no—
486#11765864—22no—
487#11765864—22no—
488#11765864—82no—
489C2×Dic142—21no—
490C2×Dic142—21no—
491C2×Dic142C2×D411yescharacteristic
492C2×Dic142C2411yescharacteristic
493C2×D284—21no—
494C2×D284—21no—
495C2×D284C2×D411yescharacteristic
496C2×D284C2×D411yescharacteristic
497C2×D284C2411yescharacteristic
498C2×C22⋊D71—21no—
499C2×C22⋊D71—21no—
500C2×C22⋊D71—21no—
501C2×C22⋊D71—21no—
502C2×C22⋊D71—21no—
503C2×C22⋊D71—21no—
504C2×C22⋊D71—21no—
505C2×C22⋊D71—21no—
506C2×C22⋊D71C2×D411yescharacteristic
507C2×C22⋊D71C2×D411yescharacteristic
508C2×C22⋊D71C2×D411yescharacteristic
509C2×C22⋊D71C2×D411yescharacteristic
510D4×D71—22no—
511D4×D71—22no—
512D4×D71—82no—
513C22×Dic71—21no—
514C22×Dic71—21no—
515C22×Dic71—21no—
516C22×Dic71—21no—
517C22×Dic71—21no—
518C22×Dic71C2×D411yescharacteristic
519C2×C4×D71—22no—
520C2×C4×D71—22no—
521C2×C4×D71—21no—
522C2×C4×D71—21no—
523C2×C4×D71—21no—
524C2×C4×D71—21no—
525C2×C4×D71—21no—
526C2×C4×D71—21no—
527C2×C4×D71—21no—
528C2×C4×D71—21no—
529C2×C4×D71—21no—
530C2×C4×D71—82no—
531C2×C4×D71C2×D411yescharacteristic
532C2×C4×D71C2×D411yescharacteristic
533C2×C4×D71C2411yescharacteristic
534C2×C4×D71C2411yescharacteristic
535C2×C4×D71C2411yescharacteristic
536#11765854—22no—
537#11765853—22no—
538#11765850—22no—
539#11765849—22no—
540#11765848—22no—
541#11765848—22no—
542#11765848—22no—
543#11765848—22no—
544#11765848#4114yescomplemented
545C2×C71⋊C8—22no—
546C2×C71⋊C8C2411yescharacteristic
547C2×C71⋊C8C2411yescharacteristic
548C2×C71⋊C8C2411yescharacteristic
549C2×C71⋊C8C2411yescharacteristic
550C8×D71—22no—
551C8×D71—22no—
552C8×D71—22no—
553C4⋊Dic71—21no—
554C4⋊Dic71—21no—
555C4⋊Dic71—21no—
556C4⋊Dic71—21no—
557C4⋊Dic71—21no—
558C4⋊Dic71—21no—
559C4⋊Dic71C2×D411yescharacteristic
560C4⋊Dic71C2411yescharacteristic
561C4⋊Dic71C2411yescharacteristic
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—
580Dic71⋊C4—21no—
581Dic71⋊C4—21no—
582Dic71⋊C4—21no—
583Dic71⋊C4—21no—
584Dic71⋊C4—21no—
585Dic71⋊C4C2×D411yescharacteristic
586Dic71⋊C4C2×D411yescharacteristic
587Dic71⋊C4C2×D411yescharacteristic
588Dic71⋊C4C2×D411yescharacteristic
589C22⋊Dic71—21no—
590C22⋊Dic71—21no—
591C22⋊Dic71—21no—
592C22⋊Dic71—21no—
593C22⋊Dic71—21no—
594C22⋊Dic71—21no—
595C22⋊Dic71—21no—
596C22⋊Dic71—21no—
597C22⋊Dic71—21no—
598C22⋊Dic71—21no—
599C22⋊Dic71C2×D411yescharacteristic
600C22⋊Dic71C2×D411yescharacteristic
601(C2×D71)⋊C4—21no—
602(C2×D71)⋊C4—21no—
603(C2×D71)⋊C4—21no—
604(C2×D71)⋊C4—21no—
605(C2×D71)⋊C4—21no—
606(C2×D71)⋊C4—21no—
607(C2×D71)⋊C4—21no—
608(C2×D71)⋊C4—21no—
609(C2×D71)⋊C4—21no—
610(C2×D71)⋊C4—21no—
611(C2×D71)⋊C4—21no—
612(C2×D71)⋊C4—21no—
613(C2×D71)⋊C4—21no—
614(C2×D71)⋊C4—21no—
615(C2×D71)⋊C4—21no—
616(C2×D71)⋊C4C2×D411yescharacteristic
617(C2×D71)⋊C4C2×D411yescharacteristic
618(C2×D71)⋊C4C2×D411yescharacteristic
619(C2×D71)⋊C4C2×D411yescharacteristic
620(C2×D71)⋊C4C2×D411yescharacteristic
621(C2×D71)⋊C4C2×D411yescharacteristic
622C4×Dic71—21no—
623C4×Dic71—21no—
624C4×Dic71—21no—
625C4×Dic71—21no—
626C4×Dic71—21no—
627C4×Dic71—21no—
628C4×Dic71—21no—
629C4×Dic71—21no—
630C4×Dic71—21no—
631C4×Dic71—21no—
632C4×Dic71—21no—
633C4×Dic71C2411yescharacteristic
634#41×C71—82no—
635#41×C71—82no—
636C2×Q8×C71—21no—
637C2×Q8×C71—21no—
638C2×D4×C71—21no—
639C2×D4×C71—21no—
640C2×D4×C71—21no—
641C2×D4×C71—21no—
642C2×D4×C71C2×D411yescharacteristic
643C2×D4×C71C2411yescharacteristic
644C2×D4×C71C2411yescharacteristic
645C22×C4×C71—21no—
646C22×C4×C71—21no—
647C22×C4×C71—21no—
648C22×C4×C71—21no—
649C22×C4×C71—21no—
650C22×C4×C71—21no—
651C22×C4×C71C2411yescharacteristic
652C22×C4×C71C2411yescharacteristic
653D8×C71—22no—
654C2×C8×C71—22no—
655C2×C8×C71—22no—
656C2×C8×C71C2411yescharacteristic
657C2×C8×C71C2411yescharacteristic
658C2×C8×C71C2411yescharacteristic
659C2×C8×C71C2411yescharacteristic
660C4⋊C4×C71—21no—
661C4⋊C4×C71—21no—
662C4⋊C4×C71—21no—
663C4⋊C4×C71—21no—
664C4⋊C4×C71—21no—
665C4⋊C4×C71—21no—
666C4⋊C4×C71C2×D411yescharacteristic
667C4⋊C4×C71C2411yescharacteristic
668C4⋊C4×C71C2411yescharacteristic
669C4⋊C4×C71C2411yescharacteristic
670C4⋊C4×C71C2411yescharacteristic
671C4⋊C4×C71C2411yescharacteristic
672C4⋊C4×C71C2411yescharacteristic
673C22⋊C4×C71—21no—
674C22⋊C4×C71—21no—
675C22⋊C4×C71—21no—
676C22⋊C4×C71—21no—
677C22⋊C4×C71—21no—
678C22⋊C4×C71—21no—
679C22⋊C4×C71C2×D411yescharacteristic
680C22⋊C4×C71C2×D411yescharacteristic
681C42×C71C2411yescharacteristic
682C23×C71—21no—
683C23×C71—21no—
684C23×C71C22×D411yescharacteristic
685C23×C71C22×D411yescharacteristic
686C22×D71—22no—
687C22×D71—22no—
688C22×D71—21no—
689C22×D71—41no—
690C22×D71—42no—
691C22×D71—81no—
692C22×D71—81no—
693C22×D71C22×D411yescharacteristic
694C22×D71C22×D411yescharacteristic
695C22×D71C22×D411yescharacteristic
696Q8×C71—81no—
697Q8×C71—81no—
698D4×C71—22no—
699D4×C71—21no—
700D4×C71—21no—
701D4×C71—21no—
702D4×C71—21no—
703D4×C71—42no—
704D4×C71—42no—
705D4×C71—81no—
706D4×C71—81no—
707C2×C4×C71—21no—
708C2×C4×C71—21no—
709C2×C4×C71—21no—
710C2×C4×C71—21no—
711C2×C4×C71—21no—
712C2×C4×C71—21no—
713C2×C4×C71—21no—
714C2×C4×C71—21no—
715C2×C4×C71—21no—
716C2×C4×C71—21no—
717C2×C4×C71—42no—
718C2×C4×C71—42no—
719C2×C4×C71—81no—
720C2×C4×C71—81no—
721C2×C4×C71—81no—
722C2×C4×C71—81no—
723C2×C4×C71C22×D411yescharacteristic
724C2×C4×C71C22×D411yescharacteristic
725C2×C4×C71C22×D411yescharacteristic
726C2×C4×C71C22×D411yescharacteristic
727C2×C4×C71C2511yescharacteristic
728C22⋊D71—22no—
729C22⋊D71—22no—
730C22⋊D71—22no—
731C22⋊D71—41no—
732C22⋊D71—42no—
733C22⋊D71—42no—
734C22⋊D71—42no—
735C22⋊D71—42no—
736C22⋊D71—81no—
737C22⋊D71—81no—
738C22⋊D71—81no—
739C22⋊D71—81no—
740C2×Dic71—22no—
741C2×Dic71—21no—
742C2×Dic71—21no—
743C2×Dic71—21no—
744C2×Dic71—21no—
745C2×Dic71—21no—
746C2×Dic71—21no—
747C2×Dic71—21no—
748C2×Dic71—42no—
749C2×Dic71—42no—
750C2×Dic71—81no—
751C2×Dic71—81no—
752C2×Dic71—81no—
753C2×Dic71C22×D411yescharacteristic
754C2×Dic71C22×D411yescharacteristic
755C2×Dic71C22×D411yescharacteristic
756C2×Dic71C22×D411yescharacteristic
757C2×Dic71C22×D411yescharacteristic
758D284—22no—
759D284—21no—
760D284—21no—
761D284—41no—
762D284—81no—
763D284—81no—
764C4×D71—22no—
765C4×D71—21no—
766C4×D71—21no—
767C4×D71—21no—
768C4×D71—21no—
769C4×D71—22no—
770C4×D71—81no—
771C4×D71—81no—
772C4×D71—81no—
773C4×D71—81no—
774C4×D71—81no—
775C4×D71—81no—
776C4×D71—81no—
777C4×D71—81no—
778C4×D71—81no—
779C4×D71C2×#4112yes—
780C4×D712−1+412yes—
781Dic142—22no—
782Dic142—21no—
783Dic142—21no—
784Dic142—81no—
785Dic142—81no—
786C8×C71—21no—
787C8×C71—21no—
788C8×C71—21no—
789C8×C71C2×#4112yes—
790C71⋊C8—21no—
791C71⋊C8—21no—
792C71⋊C8—21no—
793C71⋊C8C2×#4112yes—
794C22×C71—21no—
795C22×C71—21no—
796C22×C71—21no—
797C22×C71—21no—
798C22×C71—21no—
799C22×C71—41no—
800C22×C71—41no—
801C22×C71—41no—
802C22×C71—41no—
803C22×C71—41no—
804C22×C71—41no—
805C22×C71#57612yes—
806C22×C71C23×D411yescharacteristic
807C2×D71—21no—
808C2×D71—21no—
809C2×D71—21no—
810C2×D71—21no—
811C2×D71—21no—
812C2×D71—21no—
813C2×D71—21no—
814C2×D71—21no—
815C2×D71—44no—
816C2×D71—41no—
817C2×D71—41no—
818C2×D71—41no—
819C2×D71—162no—
820C2×D71#54712yes—
821C4×C71—21no—
822C4×C71—21no—
823C4×C71—21no—
824C4×C71—21no—
825C4×C71—41no—
826C4×C71—41no—
827C4×C71—41no—
828C4×C71—41no—
829C4×C71—41no—
830C4×C71—41no—
831C4×C71C22×#4111yescharacteristic
832C4×C71C2×2−1+411yescharacteristic
833Dic71—21no—
834Dic71—21no—
835Dic71—21no—
836Dic71—21no—
837Dic71—41no—
838Dic71—41no—
839Dic71—41no—
840Dic71—41no—
841Dic71—41no—
842Dic71—41no—
843Dic71—41no—
844Dic71#54712yes—
845#61270—711nomaximal, Sylow
846C2×C71—22no—
847C2×C71—41no—
848C2×C71—81no—
849C2×C71—81no—
850C2×C71C2×#54711yescharacteristic
851C2×C71C2×#57611yescharacteristic
852C2×C71#358611yescharacteristic
853D71—22no—
854D71—41no—
855D71—41no—
856D71—81no—
857#3494—711no—
858#3492—711no—
859#3357—711no—
860#3357—711no—
861#3355—711no—
862#3355—711no—
863#3347—711no—
864#3347—711no—
865#3346—711no—
866#3346—711no—
867#3345—711no—
868#3345—711no—
869#3343—711no—
870#3343—711no—
871#3337—711no—
872#3337—711no—
873#3334—711no—
874#3334D7111yescharacteristic, complemented
875#3164—711no—
876#3098—711no—
877#3096—711no—
878#3091—711no—
879C2×#480—711no—
880#3083—711no—
881#3081—711no—
882#3062—711no—
883#3055—711no—
884#2946—711no—
885#2933—711no—
886#2913—711no—
887C2×#428—711no—
888C71#6127011yescharacteristic, complemented, Sylow
889C2×AGL(1,ℤ/8)—711no—
890C2×#131—711no—
891C22×M16—711no—
892#555—711no—
893#555—711no—
894#554—711no—
895#554—711no—
896#554—1421no—
897#553—711no—
898#553—711no—
899#553—711no—
900#553—711no—
901#553—711no—
902#553—711no—
903#553—1421no—
904#552—711no—
905#552—711no—
906#552—1421no—
907#551—1421no—
908#551—1421no—
909#547—711no—
910#547—711no—
911#547—1421no—
912#547C2×D7111yescharacteristic
913#547C2×D7111yescharacteristic, complemented
914#546—1421no—
915#546—1421no—
916#544—711no—
917#544—711no—
918#542—1421no—
919#540—1421no—
920#539—1421no—
921#539—1421no—
922#537—711no—
923#535—711no—
924#532—1421no—
925#529—1421no—
926#525—711no—
927#525—711no—
928#525—1421no—
929#525—1421no—
930C2×#121—711no—
931#520—711no—
932#520—711no—
933#520—711no—
934#518—711no—
935C2×#117—711no—
936C22×C4⋊C4—711no—
937#501—711no—
938#501—711no—
939#501—711no—
940#501—711no—
941#500—711no—
942#500C2×D7111yescharacteristic, complemented
943#499—711no—
944#499—711no—
945#485—711no—
946#485—711no—
947#485—711no—
948#485—711no—
949#484—711no—
950#484—711no—
951#484—711no—
952#483—711no—
953#482—711no—
954#482—711no—
955#482—711no—
956#482—711no—
957#482—711no—
958#482—711no—
959#482—711no—
960#482—711no—
961#481—711no—
962#481—711no—
963#481—711no—
964#480—711no—
965#480—711no—
966#480—711no—
967#480—711no—
968#480—711no—
969#480—711no—
970#480—711no—
971#480—711no—
972#480—711no—
973#480C2×D7111yescharacteristic
974#480C2×D7111yescharacteristic, complemented
975#480C2×D7111yescharacteristic, complemented
976#480C2×D7111yescharacteristic, complemented
977#479—711no—
978#479—711no—
979#478—711no—
980#478—711no—
981#478—711no—
982#478—711no—
983#478—711no—
984#478—711no—
985#477—711no—
986#477—711no—
987#476—711no—
988#476—711no—
989#474—711no—
990#474—711no—
991#474C2×D7111yescharacteristic, complemented
992#474C2×D7111yescharacteristic, complemented
993#469—711no—
994#469—711no—
995#469—711no—
996#469—711no—
997#468—711no—
998#468—711no—
999#468—711no—
1000#468—711no—
1001#466—711no—
1002#466—711no—
1003#466C2×D7111yescharacteristic
1004#466C2×D7111yescharacteristic, complemented
1005#465—711no—
1006#465—711no—
1007#465—711no—
1008#465—711no—
1009#442—711no—
1010#442—711no—
1011#440—711no—
1012#440—711no—
1013C4×SD16—711no—
1014C4×SD16—711no—
1015C4×D8—711no—
1016C4×D8C2×D7111yescharacteristic, complemented
1017#436—711no—
1018#436—711no—
1019#435—711no—
1020#435—711no—
1021#435—711no—
1022#435—711no—
1023C8×D4—711no—
1024C8×D4C2×D7111yescharacteristic, complemented
1025#428—711no—
1026#428—711no—
1027#428—711no—
1028#428—711no—
1029#428—711no—
1030#428—711no—
1031#428—711no—
1032#428—711no—
1033#428—711no—
1034#428—711no—
1035#428—711no—
1036#428—711no—
1037#428—711no—
1038#427—711no—
1039#427—711no—
1040#427—711no—
1041#427—711no—
1042C2×#107—711no—
1043C2×#107—711no—
1044C2×#107—711no—
1045C2×#107—711no—
1046C2×#107C2×D7111yescharacteristic, complemented
1047C2×#107C2×D7111yescharacteristic, complemented
1048C2×#106—711no—
1049C2×#106—711no—
1050#424—711no—
1051#418—711no—
1052#417—711no—
1053#416—711no—
1054#416—711no—
1055C2×#102—711no—
1056C2×#102—711no—
1057#408—711no—
1058C2×C22⋊C8—711no—
1059#405—711no—
1060C2×#41—21no—
1061C2×#41—21no—
1062C2×#41—711no—
1063C2×#41—711no—
1064C2×#41—1421no—
1065C2×#41—1421no—
1066C22×D4—711no—
1067C22×D4—1421no—
1068C23×C4—711no—
1069C23×C4—1421no—
1070AGL(1,ℤ/8)—1424no—
1071C2×SD16—711no—
1072C2×SD16—711no—
1073C2×D8—711no—
1074C2×D8C22×D7111yescharacteristic
1075#131—1424no—
1076C2×M16—711no—
1077C2×M16—711no—
1078C2×M16—711no—
1079C2×M16—711no—
1080C2×M16—711no—
1081C2×M16—711no—
1082C2×M16—1424no—
1083C22×C8—711no—
1084C22×C8—711no—
1085C22×C8—711no—
1086C22×C8—711no—
1087C22×C8C22×D7111yescharacteristic
1088C22×C8C22×D7111yescharacteristic
1089C4⋊Q8—711no—
1090C4⋊Q8—711no—
1091C4⋊Q8—1421no—
1092C4⋊Q8—1421no—
1093C4⋊Q8C22×D7111yescharacteristic
1094C4⋊Q8C22×D7111yescharacteristic
1095#127—1421no—
1096#126—1421no—
1097#126—1421no—
1098#126—1421no—
1099#126—1421no—
1100#126—1421no—
1101#126—1421no—
1102#126—1421no—
1103#126—1421no—
1104#125—711no—
1105#125—711no—
1106#125—711no—
1107#125—711no—
1108#125—1421no—
1109#125—1421no—
1110#125—1421no—
1111#125—1421no—
1112#125—1421no—
1113#125—1421no—
1114#124—1421no—
1115#124—1421no—
1116#124—1421no—
1117#124—1421no—
1118#124—1421no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—711no—
1124#123—711no—
1125#123—1421no—
1126#123—1421no—
1127#123—1421no—
1128#123—1421no—
1129#123—1421no—
1130#123—1421no—
1131#123—1421no—
1132#123—1421no—
1133#123—1421no—
1134#123—1421no—
1135#123—1421no—
1136#123—1421no—
1137#123—1421no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—711no—
1141C22⋊Q8—711no—
1142C22⋊Q8—711no—
1143C22⋊Q8—711no—
1144C22⋊Q8—711no—
1145C22⋊Q8—711no—
1146C22⋊Q8—1421no—
1147C22⋊Q8—1421no—
1148C22⋊Q8—1421no—
1149C22⋊Q8—1421no—
1150C22⋊Q8—1421no—
1151C22⋊Q8—1421no—
1152C22⋊Q8—1421no—
1153C22⋊Q8—1421no—
1154C22⋊Q8—1421no—
1155C22⋊Q8—1421no—
1156C22⋊Q8—1421no—
1157#121—711no—
1158#121—711no—
1159#121—711no—
1160#121—711no—
1161#121—711no—
1162#121—711no—
1163#121—711no—
1164#121—711no—
1165#121—711no—
1166#121—711no—
1167#121—1421no—
1168#121—1421no—
1169#121—1421no—
1170#121—1421no—
1171#121—1421no—
1172#121—1421no—
1173#121—1421no—
1174#121—1421no—
1175#121—1421no—
1176#121—1421no—
1177#121—1421no—
1178#121—1421no—
1179#121—1421no—
1180#121C22×D7111yescharacteristic
1181#121C22×D7111yescharacteristic
1182#121C22×D7111yescharacteristic
1183#121C22×D7111yescharacteristic
1184#120—711no—
1185#120—711no—
1186#120—1421no—
1187#120—1421no—
1188#120—1421no—
1189C4×Q8—711no—
1190C4×Q8—711no—
1191C4×Q8—1421no—
1192C4×Q8—1421no—
1193C4×D4—711no—
1194C4×D4—711no—
1195C4×D4—711no—
1196C4×D4—711no—
1197C4×D4—711no—
1198C4×D4—711no—
1199C4×D4—711no—
1200C4×D4—1421no—
1201C4×D4—1421no—
1202C4×D4—1421no—
1203C4×D4—1421no—
1204C4×D4—1421no—
1205C4×D4—1421no—
1206C4×D4—1421no—
1207C4×D4—1421no—
1208C4×D4—1421no—
1209C4×D4—1421no—
1210C4×D4—1421no—
1211C4×D4—1421no—
1212C4×D4—1421no—
1213C4×D4—1421no—
1214C4×D4—1421no—
1215C4×D4—1421no—
1216C4×D4—1421no—
1217C4×D4—1421no—
1218C4×D4—1421no—
1219C4×D4—1421no—
1220C4×D4C22×D7111yescharacteristic
1221C4×D4C22×D7111yescharacteristic
1222C4×D4C22×D7111yescharacteristic
1223#117—711no—
1224#117—711no—
1225#117—711no—
1226#117—711no—
1227#117—711no—
1228#117—711no—
1229#117—711no—
1230#117—711no—
1231#117—711no—
1232#117—711no—
1233#117—1421no—
1234#117—1421no—
1235#117—1421no—
1236#117—1421no—
1237#117—1421no—
1238#117—1421no—
1239#117—1421no—
1240C2×C4⋊C4—711no—
1241C2×C4⋊C4—711no—
1242C2×C4⋊C4—711no—
1243C2×C4⋊C4—711no—
1244C2×C4⋊C4—711no—
1245C2×C4⋊C4—711no—
1246C2×C4⋊C4—711no—
1247C2×C4⋊C4—711no—
1248C2×C4⋊C4—711no—
1249C2×C4⋊C4—1421no—
1250C2×C4⋊C4—1421no—
1251C2×C4⋊C4—1421no—
1252C2×C4⋊C4—1421no—
1253C2×C4⋊C4C22×D7111yescharacteristic
1254C2×C4⋊C4C22×D7111yescharacteristic
1255C2×C4⋊C4C22×D7111yescharacteristic
1256C2×C4⋊C4C22×D7111yescharacteristic
1257C2×C22⋊C4—1421no—
1258C2×C22⋊C4—1421no—
1259C2×C22⋊C4—1421no—
1260C2×C22⋊C4—1421no—
1261C2×C42—1421no—
1262#107—711no—
1263#107—711no—
1264#107—711no—
1265#107—711no—
1266#107—711no—
1267#107—711no—
1268#107—711no—
1269#107—711no—
1270#107—711no—
1271#107—711no—
1272#107—711no—
1273#107—711no—
1274#107—711no—
1275#107C22×D7111yescharacteristic
1276#107C22×D7111yescharacteristic
1277#107C22×D7111yescharacteristic
1278#107C22×D7111yescharacteristic
1279#107C22×D7111yescharacteristic
1280#107C22×D7111yescharacteristic
1281#107C22×D7111yescharacteristic
1282#107C22×D7111yescharacteristic
1283#107C22×D7111yescharacteristic
1284#106—711no—
1285#106—711no—
1286#106—711no—
1287#106—711no—
1288#106—711no—
1289#106—711no—
1290#106—711no—
1291#106—711no—
1292#106—711no—
1293#106—711no—
1294#106—711no—
1295#106—711no—
1296#106—711no—
1297#106—711no—
1298C4⋊C8—711no—
1299C4⋊C8—711no—
1300C4⋊C8—711no—
1301C4⋊C8C22×D7111yescharacteristic
1302#103—711no—
1303#103—711no—
1304#103—711no—
1305#103—711no—
1306#103—711no—
1307#103—711no—
1308#102—711no—
1309#102—711no—
1310#102—711no—
1311#102—711no—
1312#102—711no—
1313#102—711no—
1314#102—711no—
1315#102—711no—
1316#102—711no—
1317#102—711no—
1318#102—711no—
1319#102—711no—
1320#102C22×D7111yescharacteristic
1321#102C22×D7111yescharacteristic
1322#102C22×D7111yescharacteristic
1323#102C22×D7111yescharacteristic
1324#102C22×D7111yescharacteristic
1325#102C22×D7111yescharacteristic
1326C22⋊C8—711no—
1327C22⋊C8—711no—
1328C22⋊C8—711no—
1329C22⋊C8—711no—
1330C22⋊C8—711no—
1331C22⋊C8—711no—
1332C22⋊C8C22×D7111yescharacteristic
1333C22⋊C8C22×D7111yescharacteristic
1334#97—711no—
1335#97—711no—
1336C4×C8—711no—
1337C4×C8C22×D7111yescharacteristic
1338C24—711no—
1339C24—1421no—
1340#41—82no—
1341#41—82no—
1342#41—5682no—
1343#41—5682no—
1344#41—1422no—
1345#41—1422no—
1346#41—1422no—
1347#41—1422no—
1348C2×Q8—21no—
1349C2×Q8—21no—
1350C2×Q8—711no—
1351C2×Q8—711no—
1352C2×Q8—1421no—
1353C2×Q8—1421no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—5682no—
1359C2×D4—711no—
1360C2×D4—711no—
1361C2×D4—711no—
1362C2×D4—711no—
1363C2×D4—711no—
1364C2×D4—711no—
1365C2×D4—711no—
1366C2×D4—1421no—
1367C2×D4—1421no—
1368C2×D4—1422no—
1369C2×D4—1422no—
1370C2×D4—1421no—
1371C2×D4—1421no—
1372C2×D4—1421no—
1373C2×D4—1421no—
1374C2×D4—1421no—
1375C2×D4—1421no—
1376C2×D4—1421no—
1377C2×D4—1421no—
1378C2×D4D4×D7111yescharacteristic
1379C2×D4C23×D7111yescharacteristic
1380C2×D4C23×D7111yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—5682no—
1388C22×C4—711no—
1389C22×C4—711no—
1390C22×C4—711no—
1391C22×C4—711no—
1392C22×C4—711no—
1393C22×C4—711no—
1394C22×C4—1421no—
1395C22×C4—1421no—
1396C22×C4—1421no—
1397C22×C4—1421no—
1398C22×C4—1421no—
1399C22×C4—1421no—
1400C22×C4—1421no—
1401C22×C4—1421no—
1402C22×C4—1422no—
1403C22×C4—1422no—
1404C22×C4—1421no—
1405C22×C4—1421no—
1406C22×C4—1421no—
1407C22×C4—1421no—
1408C22×C4—1421no—
1409C22×C4—1421no—
1410C22×C4C23×D7111yescharacteristic
1411C22×C4C23×D7111yescharacteristic
1412SD16—1422no—
1413SD16—1422no—
1414D8—22no—
1415D8—1422no—
1416M16—714no—
1417M16—1422no—
1418M16—1422no—
1419M16—1422no—
1420M16—1422no—
1421M16—1422no—
1422C2×C8—22no—
1423C2×C8—22no—
1424C2×C8—711no—
1425C2×C8—711no—
1426C2×C8—711no—
1427C2×C8—711no—
1428C2×C8—1422no—
1429C2×C8—1422no—
1430C2×C8—1422no—
1431C2×C8—1422no—
1432C2×C8C23×D7111yescharacteristic
1433C2×C8C23×D7111yescharacteristic
1434C2×C8C23×D7111yescharacteristic
1435C2×C8C23×D7111yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—711no—
1443C4⋊C4—711no—
1444C4⋊C4—711no—
1445C4⋊C4—711no—
1446C4⋊C4—711no—
1447C4⋊C4—711no—
1448C4⋊C4—711no—
1449C4⋊C4—711no—
1450C4⋊C4—711no—
1451C4⋊C4—711no—
1452C4⋊C4—711no—
1453C4⋊C4—1421no—
1454C4⋊C4—1421no—
1455C4⋊C4—1421no—
1456C4⋊C4—1421no—
1457C4⋊C4—1421no—
1458C4⋊C4—1421no—
1459C4⋊C4—1421no—
1460C4⋊C4—1421no—
1461C4⋊C4—1421no—
1462C4⋊C4—1421no—
1463C4⋊C4—1421no—
1464C4⋊C4—1421no—
1465C4⋊C4—1421no—
1466C4⋊C4—1421no—
1467C4⋊C4—1421no—
1468C4⋊C4—1421no—
1469C4⋊C4—1421no—
1470C4⋊C4—1421no—
1471C4⋊C4—1421no—
1472C4⋊C4—1421no—
1473C4⋊C4—1421no—
1474C4⋊C4—1421no—
1475C4⋊C4—1421no—
1476C4⋊C4—1421no—
1477C4⋊C4—1421no—
1478C4⋊C4D4×D7111yescharacteristic
1479C4⋊C4C23×D7111yescharacteristic
1480C4⋊C4C23×D7111yescharacteristic
1481C4⋊C4C23×D7111yescharacteristic
1482C4⋊C4C23×D7111yescharacteristic
1483C4⋊C4C23×D7111yescharacteristic
1484C4⋊C4C23×D7111yescharacteristic
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—711no—
1492C22⋊C4—711no—
1493C22⋊C4—711no—
1494C22⋊C4—711no—
1495C22⋊C4—711no—
1496C22⋊C4—711no—
1497C22⋊C4—711no—
1498C22⋊C4—711no—
1499C22⋊C4—1421no—
1500C22⋊C4—1421no—
1501C22⋊C4—1421no—
1502C22⋊C4—1421no—
1503C22⋊C4—1421no—
1504C22⋊C4—1421no—
1505C22⋊C4—1421no—
1506C22⋊C4—1421no—
1507C22⋊C4—1421no—
1508C22⋊C4—1421no—
1509C22⋊C4—1421no—
1510C22⋊C4—1421no—
1511C22⋊C4—1421no—
1512C22⋊C4—1421no—
1513C22⋊C4—1421no—
1514C22⋊C4—1421no—
1515C22⋊C4—1421no—
1516C22⋊C4—1421no—
1517C22⋊C4—1421no—
1518C22⋊C4—1421no—
1519C22⋊C4—1421no—
1520C22⋊C4—1421no—
1521C22⋊C4—1421no—
1522C22⋊C4—1421no—
1523C22⋊C4—1421no—
1524C22⋊C4D4×D7111yescharacteristic
1525C22⋊C4D4×D7111yescharacteristic
1526C42—711no—
1527C42—1421no—
1528C42—1421no—
1529C42—1421no—
1530C42—1421no—
1531C42—1421no—
1532C42—1421no—
1533C42—1421no—
1534C42—1421no—
1535C42—1421no—
1536C42—1421no—
1537C42—1421no—
1538C42C23×D7111yescharacteristic
1539C23—21no—
1540C23—21no—
1541C23—2841no—
1542C23—2842no—
1543C23—5681no—
1544C23—5681no—
1545C23—711no—
1546C23—711no—
1547C23—711no—
1548C23—1422no—
1549C23—1421no—
1550C23—1422no—
1551C23C2×D4×D7111yescharacteristic
1552C23C2×D4×D7111yescharacteristic
1553Q8—81no—
1554Q8—81no—
1555Q8—5681no—
1556Q8—5681no—
1557Q8—1422no—
1558Q8—1421no—
1559Q8—1421no—
1560D4—22no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—42no—
1566D4—42no—
1567D4—81no—
1568D4—81no—
1569D4—2841no—
1570D4—2842no—
1571D4—2842no—
1572D4—2842no—
1573D4—2842no—
1574D4—2841no—
1575D4—5681no—
1576D4—5681no—
1577D4—5681no—
1578D4—5681no—
1579D4—5681no—
1580D4—5681no—
1581D4—1422no—
1582D4—1422no—
1583D4—1422no—
1584D4—1422no—
1585D4—1421no—
1586D4—1421no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—42no—
1598C2×C4—42no—
1599C2×C4—81no—
1600C2×C4—81no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—2842no—
1604C2×C4—2842no—
1605C2×C4—5681no—
1606C2×C4—5681no—
1607C2×C4—5681no—
1608C2×C4—5681no—
1609C2×C4—5681no—
1610C2×C4—5681no—
1611C2×C4—5681no—
1612C2×C4—5681no—
1613C2×C4—5681no—
1614C2×C4—5681no—
1615C2×C4—5681no—
1616C2×C4—5681no—
1617C2×C4—711no—
1618C2×C4—712no—
1619C2×C4—712no—
1620C2×C4—711no—
1621C2×C4—711no—
1622C2×C4—711no—
1623C2×C4—711no—
1624C2×C4—1422no—
1625C2×C4—1422no—
1626C2×C4—1421no—
1627C2×C4—1421no—
1628C2×C4—1421no—
1629C2×C4—1421no—
1630C2×C4—1421no—
1631C2×C4—1421no—
1632C2×C4—1421no—
1633C2×C4—1422no—
1634C2×C4—1421no—
1635C2×C4—1421no—
1636C2×C4—1421no—
1637C2×C4—1421no—
1638C2×C4C2×D4×D7111yescharacteristic
1639C2×C4C2×D4×D7111yescharacteristic
1640C2×C4C2×D4×D7111yescharacteristic
1641C2×C4C2×D4×D7111yescharacteristic
1642C2×C4C24×D7111yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—712no—
1647C8—1421no—
1648C8—1421no—
1649C8—1421no—
1650C8#41×D7112yes—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—2844no—
1663C22—2841no—
1664C22—2841no—
1665C22—2841no—
1666C22—712no—
1667C22—11362no—
1668C22—1421no—
1669C22—1421no—
1670C22—1421no—
1671C22—1421no—
1672C22—1421no—
1673C22—1421no—
1674C22—1421no—
1675C22—1421no—
1676C22#1798680012yes—
1677C22C22×D4×D7111yescharacteristic
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—2841no—
1689C4—2841no—
1690C4—2841no—
1691C4—2841no—
1692C4—2841no—
1693C4—2841no—
1694C4—2841no—
1695C4—712no—
1696C4—1421no—
1697C4—1421no—
1698C4—1421no—
1699C4—1421no—
1700C4C2×#41×D7111yescharacteristic
1701C42−1+4×D7111yescharacteristic
1702C2—22no—
1703C2—41no—
1704C2—81no—
1705C2—81no—
1706C2—2841no—
1707C2—2841no—
1708C2—5681no—
1709C2—1422no—
1710C2#547×D7111yescharacteristic
1711C2C2×#1798680011yescharacteristic
1712C2#2260312511yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3334C2
socleC22×C71C23×D4
hypercenter#3334D71
hypocenterC71#61270
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3334

Complements

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

NH ≅ G/Ntype
1. #22602064C2semidirect
2. #22602042C2semidirect
3. #22600965C2semidirect
4. #22600959C2semidirect
5. #22600947C2semidirect
6. #22600946C2semidirect
7. #22600847C2semidirect
8. #22600846C2semidirect
9. #22600822C2semidirect
10. #22600821C2semidirect
11. #22600816C2semidirect
12. #22600810C2semidirect
13. #22600776C2semidirect
14. #22600774C2semidirect
15. #22600723C2semidirect
16. #22600721C2semidirect
17. #22600682C2semidirect
18. #22598873C2semidirect
19. #22598313C2semidirect
20. #22598291C2semidirect
21. #22598248C2semidirect
22. #480×D71C2semidirect
23. #22598186C2semidirect
24. #22598164C2semidirect
25. #22598019C2semidirect
26. #22597956C2semidirect
27. #22597165C2semidirect
28. #22597060C2semidirect
29. #22596936C2semidirect
30. C2×#17986040C2semidirect
31. C71×#3334C2semidirect
37. #17986710C22semidirect
38. #17986704C22semidirect
42. #17986699C22semidirect
44. #17986696C22semidirect
47. #17986689C22semidirect
49. #17986684C22semidirect
53. #17986649C22semidirect
78. #17986407C22semidirect
79. #17986407C22semidirect
80. #17986405C22semidirect
81. #17986405C22semidirect
82. #17986403C22semidirect
83. #17986401C22semidirect
84. #17986400C22semidirect
85. #17986342C22semidirect
86. #17986342C22semidirect
87. #17986342C22semidirect
88. #17986341C22semidirect
89. #17986336C22semidirect
90. #17986335C22semidirect
91. #17986334C22semidirect
92. #17986329C22semidirect
93. #17986326C22semidirect
94. #17986324C22semidirect
95. #17986322C22semidirect
96. #17986321C22semidirect
97. #17986321C22semidirect
98. #17986321C22semidirect
99. #17986320C22semidirect
100. #17986320C22semidirect
101. #17986317C22semidirect
102. #17986316C22semidirect
103. #17986315C22semidirect
106. #17986314C22semidirect
111. #17986311C22semidirect
113. #17986307C22semidirect
114. #17986305C22semidirect
115. #17986302C22semidirect
116. #17986301C22semidirect
117. #17986300C22semidirect
118. #17986299C22semidirect
119. #17986299C22semidirect
120. #17986297C22semidirect
121. #17986293C22semidirect
122. #17986291C22semidirect
123. #17986287C22semidirect
124. #17986286C22semidirect
125. #17986278C22semidirect
126. #17986277C22semidirect
128. #17986250C22semidirect
130. #17986249C22semidirect
132. #17986246C22semidirect
134. #17986243C22semidirect
135. #17986234C22semidirect
138. #17986228C22semidirect
139. #17986227C22semidirect
141. #17986111C22semidirect
142. #17986109C22semidirect
143. #17986099C22semidirect
144. #17986098C22semidirect
145. #17986090C22semidirect
146. C4×#11765854C22semidirect
147. #17986079C22semidirect
148. #17986078C22semidirect
149. #17986074C22semidirect
150. #17986071C22semidirect
151. #17986070C22semidirect
152. #17986070C22semidirect
153. #17986069C22semidirect
154. (C22⋊D71)⋊C8C22semidirect
160. #17986040C22semidirect
161. #17986040C22semidirect
162. #17986040C22semidirect
163. #17986040C22semidirect
164. #17986040C22semidirect
165. #17986040C22semidirect
166. #17986039C22semidirect
167. #17986039C22semidirect
168. #17986037C22semidirect
171. #17986036C22semidirect
172. C2×#14556061C22semidirect
175. #107×D71C22semidirect
176. C2×#14556060C22semidirect
177. C2×#14556059C22semidirect
189. #547×C71C22semidirect
190. #500×C71C22semidirect
192. #480×C71C22semidirect
193. #480×C71C22semidirect
194. #480×C71C22semidirect
195. #474×C71C22semidirect
196. #474×C71C22semidirect
198. #466×C71C22semidirect
199. C4×D8×C71C22semidirect
200. C8×D4×C71C22semidirect
201. C2×#107×C71C22semidirect
202. C2×#107×C71C22semidirect
544. #11765848#41semidirect
874. #3334D71semidirect
888. C71#61270semidirect
913. #547C2×D71semidirect
942. #500C2×D71semidirect
974. #480C2×D71semidirect
975. #480C2×D71semidirect
976. #480C2×D71semidirect
991. #474C2×D71semidirect
992. #474C2×D71semidirect
1004. #466C2×D71semidirect
1016. C4×D8C2×D71semidirect
1024. C8×D4C2×D71semidirect
1046. C2×#107C2×D71semidirect
1047. C2×#107C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226020642
#226020422
#226009652
#226009592
#226009472
#226009462
#226008472
#226008462
#226008222
#226008212
#226008162
#226008102
#226007762
#226007742
#226007232
#226007212
#226006822
#225988732
#225983132
#225982912
#225982482
#480×D712
#225981862
#225981642
#225980192
#225979562
#225971652
#225970602
#225969362
C2×#179860402
C71×#33342
#6127071