Finite Group Databasebeta

← #32863692

Subgroups — #32863692

Order 18176.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22601771C211yesmaximal, characteristic
2#22597512C211yesmaximal, characteristic, complemented
3#22597509C211yesmaximal, characteristic, complemented
4#22597509C211yesmaximal, characteristic, complemented
5#22597505C211yesmaximal, characteristic, complemented
6#22597494C211yesmaximal, characteristic, complemented
7#22597488C211yesmaximal, characteristic, complemented
8#22597483C211yesmaximal, characteristic, complemented
9#22597483C211yesmaximal, characteristic, complemented
10#22597469C211yesmaximal, characteristic, complemented
11#22597456C211yesmaximal, characteristic, complemented
12#22597440C211yesmaximal, characteristic, complemented
13#22597433C211yesmaximal, characteristic, complemented
14#22597433C211yesmaximal, characteristic, complemented
15#22597426C211yesmaximal, characteristic, complemented
16#22597349C211yesmaximal, characteristic, complemented
17#22597343C211yesmaximal, characteristic, complemented
18#22597342C211yesmaximal, characteristic, complemented
19#22597342C211yesmaximal, characteristic, complemented
20#22597333C211yesmaximal, characteristic, complemented
21#22597329C211yesmaximal, characteristic, complemented
22#22597324C211yesmaximal, characteristic, complemented
23#22597323C211yesmaximal, characteristic, complemented
24#22597313C211yesmaximal, characteristic, complemented
25#22597305C211yesmaximal, characteristic, complemented
26#22597292C211yesmaximal, characteristic, complemented
27#22597285C211yesmaximal, characteristic, complemented
28#22597281C211yesmaximal, characteristic, complemented
29#22597276C211yesmaximal, characteristic, complemented
30#22597269C211yesmaximal, characteristic, complemented
31C71×#2985C211yesmaximal, characteristic, complemented
32#17986626C411yescharacteristic
33#17986623C411yescharacteristic
34#17986622C411yescharacteristic
35#17986619C411yescharacteristic
36#17986619C411yescharacteristic
37#17986610C411yescharacteristic
38#17986609C411yescharacteristic
39#17986608C411yescharacteristic
40#17986608C411yescharacteristic
41#17986597C411yescharacteristic
42#17986597C411yescharacteristic
43#17986595C411yescharacteristic
44#17986595C411yescharacteristic
45#17986579C411yescharacteristic
46#17986574C411yescharacteristic
47#17986572C411yescharacteristic
48#17986553C2211yescharacteristic
49#17986553C2211yescharacteristic
50#17986553C2211yescharacteristic
51#17986536C2211yescharacteristic
52#17986536C2211yescharacteristic
53#17986536C2211yescharacteristic
54#17986533C2211yescharacteristic
55#17986527C2211yescharacteristic
56#17986527C2211yescharacteristic
57#17986527C2211yescharacteristic
58#17986527C2211yescharacteristic
59C4×#11765866C2211yescharacteristic
60C4×#11765865C2211yescharacteristic
61C4×Q8×D71C2211yescharacteristic
62#17986130C2211yescharacteristic
63#17986130C2211yescharacteristic
64#17986130C2211yescharacteristic
65#17986130C2211yescharacteristic
66#17986130C2211yescharacteristic
67#17986130C2211yescharacteristic
68#17986130C2211yescharacteristic
69#17986130C2211yescharacteristic
70#17986129C2211yescharacteristic
71#17986128C2211yescharacteristic
72#17986128C2211yescharacteristic
73#17986128C2211yescharacteristic
74#17986128C2211yescharacteristic
75#17986128C2211yescharacteristic
76#17986128C2211yescharacteristic
77#17986128C2211yescharacteristic
78#17986128C2211yescharacteristic
79#17986127C2211yescharacteristic
80#17986127C2211yescharacteristic
81#17986127C2211yescharacteristic
82#17986127C2211yescharacteristic
83#17986127C2211yescharacteristic
84#17986127C2211yescharacteristic
85#17986126C2211yescharacteristic
86C8×Dic142C2211yescharacteristic
87C8×Dic142C2211yescharacteristic
88C8×Dic142C2211yescharacteristic
89C8×Dic142C2211yescharacteristic
90C8×Dic142C2211yescharacteristic
91#17986123C2211yescharacteristic
92#17986123C2211yescharacteristic
93#17986123C2211yescharacteristic
94#17986078C2211yescharacteristic
95#17986078C2211yescharacteristic
96#17986078C2211yescharacteristic
97#17986078C2211yescharacteristic
98#17986078C2211yescharacteristic
99#17986076C2211yescharacteristic
100#17986076C2211yescharacteristic
101#17986076C2211yescharacteristic
102#17986074C2211yescharacteristic
103#17986074C2211yescharacteristic
104#17986074C2211yescharacteristic
105#17986074C2211yescharacteristic
106#17986074C2211yescharacteristic
107#17986074C2211yescharacteristic
108#17986073C2211yescharacteristic
109#17986073C2211yescharacteristic
110#17986072C2211yescharacteristic
111#17986072C2211yescharacteristic
112#17986072C2211yescharacteristic
113#17986072C2211yescharacteristic
114#17986072C2211yescharacteristic
115#17986072C2211yescharacteristic
116#17986069C2211yescharacteristic
117#17986069C2211yescharacteristic
118#17986069C2211yescharacteristic
119#17986069C2211yescharacteristic
120#17986069C2211yescharacteristic
121#17986069C2211yescharacteristic
122#17986069C2211yescharacteristic
123#17986069C2211yescharacteristic
124#17986067C2211yescharacteristic
125#17986067C2211yescharacteristic
126#17986067C2211yescharacteristic
127#17986067C2211yescharacteristic
128C8×D284C2211yescharacteristic
129#17986064C2211yescharacteristic
130(C22⋊D71)⋊C8C2211yescharacteristic
131(C22⋊D71)⋊C8C2211yescharacteristic
132(C22⋊D71)⋊C8C2211yescharacteristic
133(C22⋊D71)⋊C8C2211yescharacteristic
134#17986061C2211yescharacteristic
135#17986061C2211yescharacteristic
136#17986059C2211yescharacteristic
137#17986059C2211yescharacteristic
138#17986059C2211yescharacteristic
139#17986059C2211yescharacteristic
140#17986059C2211yescharacteristic
141#17986059C2211yescharacteristic
142#17986058C2211yescharacteristic
143#17986058C2211yescharacteristic
144#17986058C2211yescharacteristic
145#17986058C2211yescharacteristic
146#17986055C2211yescharacteristic
147#17986054C2211yescharacteristic
148#17986054C2211yescharacteristic
149#17986054C2211yescharacteristic
150#17986054C2211yescharacteristic
151#17986051C2211yescharacteristic
152#17986051C2211yescharacteristic
153#17986051C2211yescharacteristic
154#17986051C2211yescharacteristic
155#17986051C2211yescharacteristic
156#17986050C2211yescharacteristic
157#17986050C2211yescharacteristic
158#17986026C2211yescharacteristic
159#17986026C2211yescharacteristic
160#17986024C2211yescharacteristic
161#17986024C2211yescharacteristic
162#17986024C2211yescharacteristic
163#17986024C2211yescharacteristic
164#17986024C2211yescharacteristic
165#17986024C2211yescharacteristic
166#17986023C2211yescharacteristic
167#17986021C2211yescharacteristic
168#17986021C2211yescharacteristic
169#17986021C2211yescharacteristic
170#17986021C2211yescharacteristic
171#17986021C2211yescharacteristic
172C4⋊C8×D71C2211yescharacteristic
173#17985956C2211yescharacteristic
174#17985956C2211yescharacteristic
175#17985955C2211yescharacteristic
176#17985955C2211yescharacteristic
177#17985953C2211yescharacteristic
178#17985953C2211yescharacteristic
179#17985953C2211yescharacteristic
180#17985953C2211yescharacteristic
181#17985951C2211yescharacteristic
182#17985951C2211yescharacteristic
183#17985951C2211yescharacteristic
184C4×#11765848C2211yescharacteristic
185C2×#14556039C2211yescharacteristic
186#97×D71C2211yescharacteristic
187C4×C8×D71C2211yescharacteristic
188#533×C71C2211yescharacteristic
189#446×C71C2211yescharacteristic
190#446×C71C2211yescharacteristic
191#446×C71C2211yescharacteristic
192#446×C71C2211yescharacteristic
193#446×C71C2211yescharacteristic
194#446×C71C2211yescharacteristic
195C8×Q8×C71C2211yescharacteristic
196C8×Q8×C71C2211yescharacteristic
197#433×C71C2211yescharacteristic
198#433×C71C2211yescharacteristic
199#433×C71C2211yescharacteristic
200#433×C71C2211yescharacteristic
201#432×C71C2211yescharacteristic
202#431×C71C2211yescharacteristic
203C2×#11765866C2×C411yescharacteristic
204C2×#11765865C2×C411yescharacteristic
205C2×Q8×D71C2×C411yescharacteristic
206C2×#11765849C2311yescharacteristic
207C2×#11765849C2311yescharacteristic
208C2×#11765848C2311yescharacteristic
209C2×#11765848C2311yescharacteristic
210C2×#11765848C2311yescharacteristic
211C2×#11765848C2311yescharacteristic
212C2×#11765848C2311yescharacteristic
213C2×#11765848C2311yescharacteristic
214C2×#11765848C2311yescharacteristic
215C2×#11765848C2311yescharacteristic
216C2×#11765848C2311yescharacteristic
217C2×#11765848C2311yescharacteristic
218C22×C71⋊C8C2311yescharacteristic
219C22×C71⋊C8C2311yescharacteristic
220C2×C8×D71C2311yescharacteristic
221C2×C8×D71C2311yescharacteristic
222C2×C8×D71C2311yescharacteristic
223C2×C8×D71C2311yescharacteristic
224C2×C8×D71C2311yescharacteristic
225C2×C8×D71C2311yescharacteristic
226#14556127C2×C411yescharacteristic
227#14556127C2×C411yescharacteristic
228#14556127C2×C411yescharacteristic
229#14556126C2×C411yescharacteristic
230#14556126C2×C411yescharacteristic
231#14556126C2×C411yescharacteristic
232#14556123C2×C411yescharacteristic
233#14556123C2×C411yescharacteristic
234#14556123C2×C411yescharacteristic
235#14556123C2×C411yescharacteristic
236#14556123C2×C411yescharacteristic
237#14556123C2×C411yescharacteristic
238#14556123C2×C411yescharacteristic
239#14556123C2×C411yescharacteristic
240#14556123C2×C411yescharacteristic
241#14556123C2×C411yescharacteristic
242#14556122C2×C411yescharacteristic
243#14556122C2×C411yescharacteristic
244#14556121C2×C411yescharacteristic
245#14556121C2×C411yescharacteristic
246#14556121C2×C411yescharacteristic
247#14556121C2×C411yescharacteristic
248#14556120C2×C411yescharacteristic
249#14556119C2×C411yescharacteristic
250#14556119C2×C411yescharacteristic
251#14556119C2×C411yescharacteristic
252#14556118C2×C411yescharacteristic
253#14556118C2×C411yescharacteristic
254#14556118C2×C411yescharacteristic
255#14556118C2×C411yescharacteristic
256#14556118C2×C411yescharacteristic
257#14556118C2×C411yescharacteristic
258#14556118C2×C411yescharacteristic
259#14556118C2×C411yescharacteristic
260#14556118C2×C411yescharacteristic
261#14556118C2×C411yescharacteristic
262#14556117C2×C411yescharacteristic
263#14556117C2×C411yescharacteristic
264#14556117C2×C411yescharacteristic
265#14556116C2×C411yescharacteristic
266#14556114C2×C411yescharacteristic
267#14556114C2×C411yescharacteristic
268#14556114C2×C411yescharacteristic
269#14556114C2×C411yescharacteristic
270#14556113C2×C411yescharacteristic
271#14556113C2×C411yescharacteristic
272#14556113C2×C411yescharacteristic
273#14556113C2×C411yescharacteristic
274#14556113C2×C411yescharacteristic
275#14556113C2×C411yescharacteristic
276#14556113C2×C411yescharacteristic
277#14556113C2×C411yescharacteristic
278#14556113C2×C411yescharacteristic
279#14556113C2×C411yescharacteristic
280#14556111C2×C411yescharacteristic
281#14556111C2×C411yescharacteristic
282#14556110C2×C411yescharacteristic
283#14556110C2×C411yescharacteristic
284#14556110C2×C411yescharacteristic
285#14556110C2×C411yescharacteristic
286#14556108C2×C411yescharacteristic
287#14556108C2×C411yescharacteristic
288#14556108C2×C411yescharacteristic
289#14556107C2×C411yescharacteristic
290#14556106C2×C411yescharacteristic
291#14556106C2×C411yescharacteristic
292#14556106C2×C411yescharacteristic
293#14556106C2×C411yescharacteristic
294#14556106C2×C411yescharacteristic
295#14556106C2×C411yescharacteristic
296#14556106C2×C411yescharacteristic
297#14556106C2×C411yescharacteristic
298#14556106C2×C411yescharacteristic
299#14556106C2×C411yescharacteristic
300#14556104C2×C411yescharacteristic
301#14556104C2×C411yescharacteristic
302#14556104C2×C411yescharacteristic
303#14556104C2×C411yescharacteristic
304#14556104C2×C411yescharacteristic
305#14556104C2×C411yescharacteristic
306#14556103C2×C411yescharacteristic
307#14556103C2×C411yescharacteristic
308#14556103C2×C411yescharacteristic
309#14556102C2×C411yescharacteristic
310#14556101C2×C411yescharacteristic
311#14556101C2×C411yescharacteristic
312#14556101C2×C411yescharacteristic
313#14556101C2×C411yescharacteristic
314Q8×Dic71C2×C411yescharacteristic
315Q8×Dic71C2×C411yescharacteristic
316C4×Dic142C2×C411yescharacteristic
317C4×Dic142C2311yescharacteristic
318C4×Dic142C2311yescharacteristic
319C4×Dic142C2311yescharacteristic
320C4×Dic142C2311yescharacteristic
321C4×Dic142C2311yescharacteristic
322C4×Dic142C2311yescharacteristic
323#14556093C2×C411yescharacteristic
324#14556093C2×C411yescharacteristic
325#14556093C2×C411yescharacteristic
326C4×D284C2×C411yescharacteristic
327C4×D284C2311yescharacteristic
328C4×D284C2311yescharacteristic
329C4×D284C2311yescharacteristic
330C4×D284C2311yescharacteristic
331C4×D284C2311yescharacteristic
332C4×D284C2311yescharacteristic
333#14556090C2×C411yescharacteristic
334#14556090C2×C411yescharacteristic
335#14556090C2×C411yescharacteristic
336C4×C22⋊D71C2×C411yescharacteristic
337C4×C22⋊D71C2×C411yescharacteristic
338C4×C22⋊D71C2311yescharacteristic
339C4×C22⋊D71C2311yescharacteristic
340C4×C22⋊D71C2311yescharacteristic
341C4×C22⋊D71C2311yescharacteristic
342#14556087C2×C411yescharacteristic
343#14556086C2×C411yescharacteristic
344#14556086C2×C411yescharacteristic
345#14556086C2×C411yescharacteristic
346#14556085C2×C411yescharacteristic
347#14556085C2×C411yescharacteristic
348#14556085C2311yescharacteristic
349#14556085C2311yescharacteristic
350#14556085C2311yescharacteristic
351#14556085C2311yescharacteristic
352#14556085C2311yescharacteristic
353#14556085C2311yescharacteristic
354C4⋊C4×D71C2×C411yescharacteristic
355C4⋊C4×D71C2×C411yescharacteristic
356C4⋊C4×D71C2×C411yescharacteristic
357C42×D71C2311yescharacteristic
358C42×D71C2311yescharacteristic
359C42×D71C2311yescharacteristic
360C42×D71C2311yescharacteristic
361C42×D71C2311yescharacteristic
362C42×D71C2311yescharacteristic
363C4⋊(C71⋊C8)C2311yescharacteristic
364C4⋊(C71⋊C8)C2311yescharacteristic
365C4⋊(C71⋊C8)C2311yescharacteristic
366C4⋊(C71⋊C8)C2311yescharacteristic
367C4⋊(C71⋊C8)C2311yescharacteristic
368C4⋊(C71⋊C8)C2311yescharacteristic
369C4⋊(C71⋊C8)C2311yescharacteristic
370C4⋊(C71⋊C8)C2311yescharacteristic
371C4⋊(C71⋊C8)C2311yescharacteristic
372C4⋊(C71⋊C8)C2311yescharacteristic
373C4⋊(C71⋊C8)C2311yescharacteristic
374C4⋊(C71⋊C8)C2311yescharacteristic
375Dic71⋊C8C2311yescharacteristic
376Dic71⋊C8C2311yescharacteristic
377Dic71⋊C8C2311yescharacteristic
378Dic71⋊C8C2311yescharacteristic
379Dic71⋊C8C2311yescharacteristic
380Dic71⋊C8C2311yescharacteristic
381Dic71⋊C8C2311yescharacteristic
382Dic71⋊C8C2311yescharacteristic
383Dic71⋊C8C2311yescharacteristic
384Dic71⋊C8C2311yescharacteristic
385Dic71⋊C8C2311yescharacteristic
386Dic71⋊C8C2311yescharacteristic
387Dic71⋊C8C2311yescharacteristic
388Dic71⋊C8C2311yescharacteristic
389Dic71⋊C8C2311yescharacteristic
390Dic71⋊C8C2311yescharacteristic
391(C2×D71)⋊C8C2311yescharacteristic
392(C2×D71)⋊C8C2311yescharacteristic
393(C2×D71)⋊C8C2311yescharacteristic
394(C2×D71)⋊C8C2311yescharacteristic
395(C2×D71)⋊C8C2311yescharacteristic
396(C2×D71)⋊C8C2311yescharacteristic
397(C2×D71)⋊C8C2311yescharacteristic
398(C2×D71)⋊C8C2311yescharacteristic
399(C2×D71)⋊C8C2311yescharacteristic
400(C2×D71)⋊C8C2311yescharacteristic
401(C2×D71)⋊C8C2311yescharacteristic
402(C2×D71)⋊C8C2311yescharacteristic
403(C2×D71)⋊C8C2311yescharacteristic
404(C2×D71)⋊C8C2311yescharacteristic
405(C2×D71)⋊C8C2311yescharacteristic
406(C2×D71)⋊C8C2311yescharacteristic
407#14556039C2311yescharacteristic
408#14556039C2311yescharacteristic
409#14556039C2311yescharacteristic
410#14556039C2311yescharacteristic
411#14556039C2311yescharacteristic
412#14556039C2311yescharacteristic
413#14556039C2311yescharacteristic
414#14556039C2311yescharacteristic
415#14556038C2311yescharacteristic
416#14556038C2311yescharacteristic
417#14556038C2311yescharacteristic
418#14556038C2311yescharacteristic
419#14556038C2311yescharacteristic
420#14556038C2311yescharacteristic
421C4×C71⋊C8C2311yescharacteristic
422C4×C71⋊C8C2311yescharacteristic
423C4×C71⋊C8C2311yescharacteristic
424C4×C71⋊C8C2311yescharacteristic
425C8×Dic71C2311yescharacteristic
426C8×Dic71C2311yescharacteristic
427C8×Dic71C2311yescharacteristic
428C8×Dic71C2311yescharacteristic
429C8×Dic71C2311yescharacteristic
430C8×Dic71C2311yescharacteristic
431C8×Dic71C2311yescharacteristic
432C8×Dic71C2311yescharacteristic
433C8×Dic71C2311yescharacteristic
434C8×Dic71C2311yescharacteristic
435C4⋊Q8×C71C2×C411yescharacteristic
436C4⋊Q8×C71C2×C411yescharacteristic
437#125×C71C2×C411yescharacteristic
438#125×C71C2×C411yescharacteristic
439C22⋊Q8×C71C2×C411yescharacteristic
440C22⋊Q8×C71C2×C411yescharacteristic
441C22⋊Q8×C71C2×C411yescharacteristic
442C22⋊Q8×C71C2×C411yescharacteristic
443C4×Q8×C71C2311yescharacteristic
444C4×Q8×C71C2311yescharacteristic
445C4×Q8×C71C2311yescharacteristic
446C4×Q8×C71C2311yescharacteristic
447#117×C71C2311yescharacteristic
448#117×C71C2311yescharacteristic
449C2×C42×C71C2311yescharacteristic
450C4⋊C8×C71C2311yescharacteristic
451C4⋊C8×C71C2311yescharacteristic
452C4⋊C8×C71C2311yescharacteristic
453C4⋊C8×C71C2311yescharacteristic
454C4⋊C8×C71C2311yescharacteristic
455C4⋊C8×C71C2311yescharacteristic
456C4⋊C8×C71C2311yescharacteristic
457C4⋊C8×C71C2311yescharacteristic
458C4⋊C8×C71C2311yescharacteristic
459C4⋊C8×C71C2311yescharacteristic
460C4⋊C8×C71C2311yescharacteristic
461C4⋊C8×C71C2311yescharacteristic
462C22⋊C8×C71C2311yescharacteristic
463C22⋊C8×C71C2311yescharacteristic
464C22⋊C8×C71C2311yescharacteristic
465C22⋊C8×C71C2311yescharacteristic
466#97×C71C2311yescharacteristic
467#97×C71C2311yescharacteristic
468#97×C71C2311yescharacteristic
469#97×C71C2311yescharacteristic
470#97×C71C2311yescharacteristic
471#97×C71C2311yescharacteristic
472C4×C8×C71C2311yescharacteristic
473C4×C8×C71C2311yescharacteristic
474C4×C8×C71C2311yescharacteristic
475C4×C8×C71C2311yescharacteristic
476C4×C8×C71C2311yescharacteristic
477C4×C8×C71C2311yescharacteristic
478#11765866—42no—
479#11765865—42no—
480C2×Dic142C22×C411yescharacteristic
481C2×Dic142C22×C411yescharacteristic
482C2×Dic142C22×C411yescharacteristic
483C2×Dic142C22×C411yescharacteristic
484C2×Dic142C22×C411yescharacteristic
485C2×Dic142C22×C411yescharacteristic
486Q8×D71—42no—
487C2×D284C22×C411yescharacteristic
488C2×D284C22×C411yescharacteristic
489C2×D284C22×C411yescharacteristic
490C2×D284C22×C411yescharacteristic
491C2×D284C22×C411yescharacteristic
492C2×D284C22×C411yescharacteristic
493C2×C22⋊D71C22×C411yescharacteristic
494C2×C22⋊D71C22×C411yescharacteristic
495C2×C22⋊D71C22×C411yescharacteristic
496C2×C22⋊D71C22×C411yescharacteristic
497C2×C4×D71C22×C411yescharacteristic
498C2×C4×D71C22×C411yescharacteristic
499C2×C4×D71C22×C411yescharacteristic
500C2×C4×D71C22×C411yescharacteristic
501C2×C4×D71C22×C411yescharacteristic
502C2×C4×D71C22×C411yescharacteristic
503C2×C4×D71C22×C411yescharacteristic
504C2×C4×D71C22×C411yescharacteristic
505C2×C4×D71C22×C411yescharacteristic
506C2×C4×D71C22×C411yescharacteristic
507C2×C4×D71C22×C411yescharacteristic
508C2×C4×D71C22×C411yescharacteristic
509C2×C4×D71C2411yescharacteristic
510C2×C4×D71C2411yescharacteristic
511C2×C4×D71C2411yescharacteristic
512C2×C4×D71C2411yescharacteristic
513#11765849—41no—
514#11765849—41no—
515#11765848—22no—
516#11765848—22no—
517#11765848—41no—
518#11765848—41no—
519#11765848—41no—
520#11765848—41no—
521#11765848—41no—
522#11765848—41no—
523#11765848—41no—
524#11765848—41no—
525C2×C71⋊C8—22no—
526C2×C71⋊C8—41no—
527C2×C71⋊C8C2411yescharacteristic
528C2×C71⋊C8C2411yescharacteristic
529C2×C71⋊C8C2411yescharacteristic
530C2×C71⋊C8C2411yescharacteristic
531C2×C71⋊C8C2411yescharacteristic
532C2×C71⋊C8C2411yescharacteristic
533C2×C71⋊C8C2411yescharacteristic
534C2×C71⋊C8C2411yescharacteristic
535C8×D71—22no—
536C8×D71—22no—
537C8×D71—41no—
538C8×D71—41no—
539C8×D71—41no—
540C8×D71—41no—
541C4⋊Dic71C22×C411yescharacteristic
542C4⋊Dic71C22×C411yescharacteristic
543C4⋊Dic71C22×C411yescharacteristic
544C4⋊Dic71C22×C411yescharacteristic
545C4⋊Dic71C22×C411yescharacteristic
546C4⋊Dic71C22×C411yescharacteristic
547C4⋊Dic71C22×C411yescharacteristic
548C4⋊Dic71C22×C411yescharacteristic
549C4⋊Dic71C22×C411yescharacteristic
550C4⋊Dic71C22×C411yescharacteristic
551C4⋊Dic71C22×C411yescharacteristic
552C4⋊Dic71C22×C411yescharacteristic
553Dic71⋊C4C22×C411yescharacteristic
554Dic71⋊C4C22×C411yescharacteristic
555Dic71⋊C4C22×C411yescharacteristic
556Dic71⋊C4C22×C411yescharacteristic
557Dic71⋊C4C22×C411yescharacteristic
558Dic71⋊C4C22×C411yescharacteristic
559Dic71⋊C4C22×C411yescharacteristic
560Dic71⋊C4C22×C411yescharacteristic
561Dic71⋊C4C22×C411yescharacteristic
562Dic71⋊C4C22×C411yescharacteristic
563Dic71⋊C4C22×C411yescharacteristic
564Dic71⋊C4C22×C411yescharacteristic
565Dic71⋊C4C22×C411yescharacteristic
566Dic71⋊C4C22×C411yescharacteristic
567Dic71⋊C4C22×C411yescharacteristic
568Dic71⋊C4C22×C411yescharacteristic
569Dic71⋊C4C22×C411yescharacteristic
570Dic71⋊C4C22×C411yescharacteristic
571Dic71⋊C4C22×C411yescharacteristic
572Dic71⋊C4C22×C411yescharacteristic
573Dic71⋊C4C22×C411yescharacteristic
574Dic71⋊C4C22×C411yescharacteristic
575Dic71⋊C4C22×C411yescharacteristic
576Dic71⋊C4C22×C411yescharacteristic
577Dic71⋊C4C22×C411yescharacteristic
578Dic71⋊C4C22×C411yescharacteristic
579Dic71⋊C4C22×C411yescharacteristic
580Dic71⋊C4C22×C411yescharacteristic
581C22⋊Dic71C22×C411yescharacteristic
582C22⋊Dic71C22×C411yescharacteristic
583C22⋊Dic71C22×C411yescharacteristic
584C22⋊Dic71C22×C411yescharacteristic
585(C2×D71)⋊C4C22×C411yescharacteristic
586(C2×D71)⋊C4C22×C411yescharacteristic
587(C2×D71)⋊C4C22×C411yescharacteristic
588(C2×D71)⋊C4C22×C411yescharacteristic
589(C2×D71)⋊C4C22×C411yescharacteristic
590(C2×D71)⋊C4C22×C411yescharacteristic
591(C2×D71)⋊C4C22×C411yescharacteristic
592(C2×D71)⋊C4C22×C411yescharacteristic
593(C2×D71)⋊C4C22×C411yescharacteristic
594(C2×D71)⋊C4C22×C411yescharacteristic
595(C2×D71)⋊C4C22×C411yescharacteristic
596(C2×D71)⋊C4C22×C411yescharacteristic
597(C2×D71)⋊C4C22×C411yescharacteristic
598(C2×D71)⋊C4C22×C411yescharacteristic
599(C2×D71)⋊C4C22×C411yescharacteristic
600(C2×D71)⋊C4C22×C411yescharacteristic
601(C2×D71)⋊C4C22×C411yescharacteristic
602(C2×D71)⋊C4C22×C411yescharacteristic
603(C2×D71)⋊C4C22×C411yescharacteristic
604(C2×D71)⋊C4C22×C411yescharacteristic
605(C2×D71)⋊C4C22×C411yescharacteristic
606(C2×D71)⋊C4C22×C411yescharacteristic
607(C2×D71)⋊C4C22×C411yescharacteristic
608(C2×D71)⋊C4C22×C411yescharacteristic
609(C2×D71)⋊C4C22×C411yescharacteristic
610(C2×D71)⋊C4C22×C411yescharacteristic
611(C2×D71)⋊C4C22×C411yescharacteristic
612(C2×D71)⋊C4C22×C411yescharacteristic
613C4×Dic71C22×C411yescharacteristic
614C4×Dic71C22×C411yescharacteristic
615C4×Dic71C22×C411yescharacteristic
616C4×Dic71C22×C411yescharacteristic
617C4×Dic71C22×C411yescharacteristic
618C4×Dic71C22×C411yescharacteristic
619C4×Dic71C22×C411yescharacteristic
620C4×Dic71C22×C411yescharacteristic
621C4×Dic71C22×C411yescharacteristic
622C4×Dic71C22×C411yescharacteristic
623C4×Dic71C22×C411yescharacteristic
624C4×Dic71C22×C411yescharacteristic
625C4×Dic71C2411yescharacteristic
626C4×Dic71C2411yescharacteristic
627C4×Dic71C2411yescharacteristic
628C4×Dic71C2411yescharacteristic
629C2×Q8×C71C22×C411yescharacteristic
630C2×Q8×C71C22×C411yescharacteristic
631C2×Q8×C71C22×C411yescharacteristic
632C2×Q8×C71C22×C411yescharacteristic
633C22×C4×C71C22×C411yescharacteristic
634C22×C4×C71C22×C411yescharacteristic
635C22×C4×C71C2411yescharacteristic
636C2×C8×C71C2411yescharacteristic
637C2×C8×C71C2411yescharacteristic
638C2×C8×C71C2411yescharacteristic
639C2×C8×C71C2411yescharacteristic
640C2×C8×C71C2411yescharacteristic
641C2×C8×C71C2411yescharacteristic
642C2×C8×C71C2411yescharacteristic
643C2×C8×C71C2411yescharacteristic
644C4⋊C4×C71C22×C411yescharacteristic
645C4⋊C4×C71C22×C411yescharacteristic
646C4⋊C4×C71C22×C411yescharacteristic
647C4⋊C4×C71C22×C411yescharacteristic
648C4⋊C4×C71C22×C411yescharacteristic
649C4⋊C4×C71C22×C411yescharacteristic
650C4⋊C4×C71C22×C411yescharacteristic
651C4⋊C4×C71C22×C411yescharacteristic
652C4⋊C4×C71C22×C411yescharacteristic
653C4⋊C4×C71C22×C411yescharacteristic
654C4⋊C4×C71C22×C411yescharacteristic
655C4⋊C4×C71C22×C411yescharacteristic
656C4⋊C4×C71C22×C411yescharacteristic
657C4⋊C4×C71C22×C411yescharacteristic
658C4⋊C4×C71C22×C411yescharacteristic
659C4⋊C4×C71C22×C411yescharacteristic
660C22⋊C4×C71C22×C411yescharacteristic
661C22⋊C4×C71C22×C411yescharacteristic
662C22⋊C4×C71C22×C411yescharacteristic
663C22⋊C4×C71C22×C411yescharacteristic
664C42×C71C22×C411yescharacteristic
665C42×C71C22×C411yescharacteristic
666C42×C71C2411yescharacteristic
667C42×C71C2411yescharacteristic
668C42×C71C2411yescharacteristic
669C42×C71C2411yescharacteristic
670C42×C71C2411yescharacteristic
671C42×C71C2411yescharacteristic
672C23×C71C23×C411yescharacteristic
673C22×D71C23×C411yescharacteristic
674C22×D71C23×C411yescharacteristic
675C22×D71C23×C411yescharacteristic
676C22×D71C23×C411yescharacteristic
677Q8×C71—41no—
678Q8×C71—41no—
679Q8×C71—41no—
680Q8×C71—41no—
681C2×C4×C71—21no—
682C2×C4×C71—21no—
683C2×C4×C71—41no—
684C2×C4×C71—41no—
685C2×C4×C71C23×C411yescharacteristic
686C2×C4×C71C23×C411yescharacteristic
687C2×C4×C71C23×C411yescharacteristic
688C2×C4×C71C23×C411yescharacteristic
689C2×C4×C71C23×C411yescharacteristic
690C2×C4×C71C23×C411yescharacteristic
691C2×C4×C71C23×C411yescharacteristic
692C2×C4×C71C23×C411yescharacteristic
693C2×C4×C71C23×C411yescharacteristic
694C2×C4×C71C23×C411yescharacteristic
695C2×C4×C71C23×C411yescharacteristic
696C2×C4×C71C23×C411yescharacteristic
697C2×C4×C71C23×C411yescharacteristic
698C2×C4×C71C2511yescharacteristic
699C22⋊D71—22no—
700C22⋊D71—41no—
701C22⋊D71—41no—
702C22⋊D71—41no—
703C2×Dic71C23×C411yescharacteristic
704C2×Dic71C23×C411yescharacteristic
705C2×Dic71C23×C411yescharacteristic
706C2×Dic71C23×C411yescharacteristic
707C2×Dic71C23×C411yescharacteristic
708C2×Dic71C23×C411yescharacteristic
709C2×Dic71C23×C411yescharacteristic
710C2×Dic71C23×C411yescharacteristic
711C2×Dic71C23×C411yescharacteristic
712C2×Dic71C23×C411yescharacteristic
713C2×Dic71C23×C411yescharacteristic
714C2×Dic71C23×C411yescharacteristic
715D284—41no—
716D284—41no—
717D284—41no—
718D284—41no—
719D284—41no—
720D284—41no—
721C4×D71—21no—
722C4×D71—21no—
723C4×D71—21no—
724C4×D71—21no—
725C4×D71—21no—
726C4×D71—21no—
727C4×D71—21no—
728C4×D71—21no—
729C4×D71—22no—
730C4×D71—22no—
731C4×D71—22no—
732C4×D71—41no—
733C4×D71—41no—
734C4×D71—41no—
735C4×D71—41no—
736C4×D71—41no—
737C4×D71—41no—
738C4×D71—41no—
739C4×D71—41no—
740C4×D71—41no—
741Dic142—22no—
742Dic142—22no—
743Dic142—22no—
744Dic142—41no—
745Dic142—41no—
746Dic142—41no—
747C8×C71—21no—
748C8×C71—21no—
749C8×C71—21no—
750C8×C71—21no—
751C8×C71—21no—
752C8×C71—21no—
753C8×C71—21no—
754C8×C71—21no—
755C71⋊C8—21no—
756C71⋊C8—21no—
757C71⋊C8—21no—
758C71⋊C8—21no—
759C71⋊C8—21no—
760C71⋊C8—21no—
761C71⋊C8—21no—
762C71⋊C82−1+412yes—
763C22×C71—21no—
764C22×C71—21no—
765C22×C71—21no—
766C22×C71C24×C411yescharacteristic
767C2×D71—21no—
768C2×D71—21no—
769C2×D71—21no—
770C2×D71—21no—
771C2×D71—21no—
772C2×D71—21no—
773C2×D71—21no—
774C2×D71—21no—
775C2×D71—21no—
776C2×D71—21no—
777C2×D71—21no—
778C2×D71—21no—
779C4×C71—21no—
780C4×C71—21no—
781C4×C71—21no—
782C4×C71—21no—
783C4×C71—21no—
784C4×C71—21no—
785C4×C71—21no—
786C4×C71—21no—
787C4×C71—21no—
788C4×C71—21no—
789C4×C71—21no—
790C4×C71—21no—
791C4×C71—21no—
792C4×C71C2×2−1+411yescharacteristic
793C4×C71#58511yescharacteristic
794Dic71—21no—
795Dic71—21no—
796Dic71—21no—
797Dic71—21no—
798Dic71—21no—
799Dic71—21no—
800Dic71—21no—
801Dic71—21no—
802Dic71—21no—
803Dic71—21no—
804Dic71—21no—
805Dic71#56812yes—
806#60344—711nomaximal, Sylow
807C2×C71—41no—
808C2×C71C4×2−1+411yescharacteristic
809C2×C71C2×#56811yescharacteristic
810C2×C71#357311yescharacteristic
811D71—41no—
812D71—41no—
813D71—41no—
814D71—41no—
815#3461—711no—
816#2995—711no—
817#2995—711no—
818#2995—711no—
819#2995—711no—
820#2994—711no—
821#2993—711no—
822#2993—711no—
823#2993—711no—
824#2991—711no—
825#2989—711no—
826#2986—711no—
827#2985—711no—
828#2985—711no—
829#2985D7111yescharacteristic, complemented
830#2984—711no—
831#2970—711no—
832#2969—711no—
833#2969—711no—
834#2969—711no—
835#2968—711no—
836#2968—711no—
837#2967—711no—
838#2967—711no—
839#2966—711no—
840#2965—711no—
841Q8×M16—711no—
842#2962—711no—
843#2961—711no—
844#2961—711no—
845#2960—711no—
846C71#6034411yescharacteristic, complemented, Sylow
847#544—711no—
848#542—711no—
849#542—711no—
850#542—711no—
851#542—711no—
852#541—711no—
853#541—711no—
854#541—711no—
855#541—711no—
856#539—711no—
857#539—711no—
858#539—711no—
859#539—711no—
860#537—711no—
861#536—711no—
862#536—711no—
863#533—711no—
864#533—711no—
865#533—711no—
866#533C2×D7111yescharacteristic
867#529—711no—
868#529—711no—
869#529—711no—
870#529—711no—
871#529—711no—
872#529—711no—
873#529—711no—
874#529—711no—
875C4×#41—711no—
876C4×#41—711no—
877C2×C4×Q8—711no—
878#446—711no—
879#446—711no—
880#446—711no—
881#446—711no—
882#446—711no—
883#446—711no—
884#446—711no—
885#446—711no—
886#446—711no—
887#446—711no—
888#446—711no—
889#446—711no—
890#446—711no—
891#446—711no—
892#446—711no—
893#446—711no—
894#446—711no—
895#446—711no—
896#446—711no—
897#446—711no—
898#446—711no—
899#446—711no—
900#446—711no—
901#446—711no—
902#446C2×D7111yescharacteristic
903#446C2×D7111yescharacteristic
904#446C2×D7111yescharacteristic
905#446C2×D7111yescharacteristic
906#446C2×D7111yescharacteristic
907#446C2×D7111yescharacteristic
908C8×Q8—711no—
909C8×Q8—711no—
910C8×Q8—711no—
911C8×Q8—711no—
912C8×Q8—711no—
913C8×Q8—711no—
914C8×Q8—711no—
915C8×Q8—711no—
916C8×Q8C2×D7111yescharacteristic
917C8×Q8C2×D7111yescharacteristic
918#436—711no—
919#436—711no—
920#436—711no—
921#436—711no—
922#436—711no—
923#436—711no—
924#436—711no—
925#436—711no—
926#436—711no—
927#436—711no—
928#436—711no—
929#436—711no—
930#436—711no—
931#436—711no—
932#435—711no—
933#435—711no—
934#435—711no—
935#435—711no—
936#435—711no—
937#435—711no—
938#435—711no—
939#435—711no—
940#435—711no—
941#435—711no—
942#435—711no—
943#435—711no—
944#435—711no—
945#435—711no—
946#435—711no—
947#435—711no—
948#435—711no—
949#435—711no—
950#435—711no—
951#435—711no—
952C8×D4—711no—
953C8×D4—711no—
954C8×D4—711no—
955C8×D4—711no—
956C8×D4—711no—
957C8×D4—711no—
958#433—711no—
959#433—711no—
960#433—711no—
961#433—711no—
962#433—711no—
963#433—711no—
964#433—711no—
965#433—711no—
966#433—711no—
967#433—711no—
968#433—711no—
969#433—711no—
970#433C2×D7111yescharacteristic
971#433C2×D7111yescharacteristic
972#433C2×D7111yescharacteristic
973#433C2×D7111yescharacteristic
974#432—711no—
975#432—711no—
976#432—711no—
977#432—711no—
978#432—711no—
979#432C2×D7111yescharacteristic
980#431—711no—
981#431—711no—
982#431—711no—
983#431—711no—
984#431—711no—
985#431—711no—
986#431—711no—
987#431C2×D7111yescharacteristic
988#424—711no—
989#424—711no—
990#424—711no—
991#424—711no—
992#424—711no—
993#424—711no—
994#424—711no—
995#424—711no—
996#423—711no—
997#423—711no—
998#423—711no—
999#423—711no—
1000#423—711no—
1001#423—711no—
1002C2×C4⋊C8—711no—
1003#405—711no—
1004#405—711no—
1005#405—711no—
1006#405—711no—
1007#405—711no—
1008#405—711no—
1009#405—711no—
1010#405—711no—
1011C4×M16—711no—
1012C4×M16—711no—
1013C4×M16—711no—
1014C4×M16—711no—
1015C2×#97—711no—
1016C2×#97—711no—
1017C2×C4×C8—711no—
1018C2×#41—711no—
1019C2×#41—711no—
1020C22×Q8—711no—
1021C2×M16—711no—
1022C2×M16—711no—
1023C2×M16—711no—
1024C2×M16—711no—
1025C2×M16—711no—
1026C2×M16—711no—
1027C2×M16—711no—
1028C2×M16—711no—
1029C2×M16—711no—
1030C2×M16—711no—
1031C2×M16—711no—
1032C2×M16—711no—
1033C22×C8—711no—
1034C22×C8—711no—
1035C22×C8—711no—
1036C22×C8—711no—
1037C22×C8—711no—
1038C22×C8—711no—
1039C22×C8—711no—
1040C22×C8—711no—
1041C4⋊Q8—711no—
1042C4⋊Q8—711no—
1043C4⋊Q8—711no—
1044C4⋊Q8—711no—
1045C4⋊Q8—711no—
1046C4⋊Q8—711no—
1047C4⋊Q8C4×D7111yescharacteristic
1048C4⋊Q8C4×D7111yescharacteristic
1049#126—711no—
1050#126—711no—
1051#126—711no—
1052#126—711no—
1053#126—711no—
1054#126—711no—
1055#126—711no—
1056#126—711no—
1057#126—711no—
1058#126—711no—
1059#126—711no—
1060#126—711no—
1061#126—711no—
1062#126—711no—
1063#126—711no—
1064#126—711no—
1065#125—711no—
1066#125—711no—
1067#125—711no—
1068#125—711no—
1069#125—711no—
1070#125—711no—
1071#125—711no—
1072#125—711no—
1073#125—711no—
1074#125—711no—
1075#125—711no—
1076#125—711no—
1077#125—711no—
1078#125—711no—
1079#125C4×D7111yescharacteristic
1080#125C4×D7111yescharacteristic
1081#124—711no—
1082#124—711no—
1083#124—711no—
1084#124—711no—
1085#124—711no—
1086#124—711no—
1087#124—711no—
1088#124—711no—
1089#123—711no—
1090#123—711no—
1091#123—711no—
1092#123—711no—
1093#123—711no—
1094#123—711no—
1095#123—711no—
1096#123—711no—
1097#123—711no—
1098#123—711no—
1099#123—711no—
1100#123—711no—
1101#123—711no—
1102#123—711no—
1103#123—711no—
1104#123—711no—
1105C22⋊Q8—711no—
1106C22⋊Q8—711no—
1107C22⋊Q8—711no—
1108C22⋊Q8—711no—
1109C22⋊Q8—711no—
1110C22⋊Q8—711no—
1111C22⋊Q8—711no—
1112C22⋊Q8—711no—
1113C22⋊Q8—711no—
1114C22⋊Q8—711no—
1115C22⋊Q8—711no—
1116C22⋊Q8—711no—
1117C22⋊Q8—711no—
1118C22⋊Q8—711no—
1119C22⋊Q8—711no—
1120C22⋊Q8—711no—
1121C22⋊Q8—711no—
1122C22⋊Q8—711no—
1123C22⋊Q8—711no—
1124C22⋊Q8—711no—
1125C22⋊Q8C4×D7111yescharacteristic
1126C22⋊Q8C4×D7111yescharacteristic
1127C22⋊Q8C4×D7111yescharacteristic
1128C22⋊Q8C4×D7111yescharacteristic
1129#121—711no—
1130#121—711no—
1131#121—711no—
1132#121—711no—
1133#121—711no—
1134#121—711no—
1135#121—711no—
1136#121—711no—
1137C4×Q8—711no—
1138C4×Q8—711no—
1139C4×Q8—711no—
1140C4×Q8—711no—
1141C4×Q8—711no—
1142C4×Q8—711no—
1143C4×Q8—711no—
1144C4×Q8—711no—
1145C4×Q8—711no—
1146C4×Q8—711no—
1147C4×Q8—711no—
1148C4×Q8—711no—
1149C4×Q8C22×D7111yescharacteristic
1150C4×Q8C22×D7111yescharacteristic
1151C4×Q8C22×D7111yescharacteristic
1152C4×Q8C22×D7111yescharacteristic
1153C4×D4—711no—
1154C4×D4—711no—
1155C4×D4—711no—
1156C4×D4—711no—
1157C4×D4—711no—
1158C4×D4—711no—
1159C4×D4—711no—
1160C4×D4—711no—
1161C4×D4—711no—
1162C4×D4—711no—
1163C4×D4—711no—
1164C4×D4—711no—
1165C4×D4—711no—
1166C4×D4—711no—
1167C4×D4—711no—
1168C4×D4—711no—
1169#117—711no—
1170#117—711no—
1171#117—711no—
1172#117—711no—
1173#117—711no—
1174#117—711no—
1175#117—711no—
1176#117—711no—
1177#117—711no—
1178#117—711no—
1179#117—711no—
1180#117—711no—
1181#117C22×D7111yescharacteristic
1182#117C22×D7111yescharacteristic
1183C2×C4⋊C4—711no—
1184C2×C4⋊C4—711no—
1185C2×C4⋊C4—711no—
1186C2×C42—711no—
1187C2×C42—711no—
1188C2×C42—711no—
1189C2×C42—711no—
1190C2×C42—711no—
1191C2×C42—711no—
1192C2×C42C22×D7111yescharacteristic
1193C4⋊C8—711no—
1194C4⋊C8—711no—
1195C4⋊C8—711no—
1196C4⋊C8—711no—
1197C4⋊C8—711no—
1198C4⋊C8—711no—
1199C4⋊C8—711no—
1200C4⋊C8—711no—
1201C4⋊C8—711no—
1202C4⋊C8—711no—
1203C4⋊C8—711no—
1204C4⋊C8—711no—
1205C4⋊C8—711no—
1206C4⋊C8—711no—
1207C4⋊C8—711no—
1208C4⋊C8—711no—
1209C4⋊C8—711no—
1210C4⋊C8—711no—
1211C4⋊C8—711no—
1212C4⋊C8—711no—
1213C4⋊C8—711no—
1214C4⋊C8—711no—
1215C4⋊C8—711no—
1216C4⋊C8—711no—
1217C4⋊C8—711no—
1218C4⋊C8—711no—
1219C4⋊C8—711no—
1220C4⋊C8—711no—
1221C4⋊C8C22×D7111yescharacteristic
1222C4⋊C8C22×D7111yescharacteristic
1223C4⋊C8C22×D7111yescharacteristic
1224C4⋊C8C22×D7111yescharacteristic
1225C4⋊C8C22×D7111yescharacteristic
1226C4⋊C8C22×D7111yescharacteristic
1227C4⋊C8C22×D7111yescharacteristic
1228C4⋊C8C22×D7111yescharacteristic
1229C4⋊C8C22×D7111yescharacteristic
1230C4⋊C8C22×D7111yescharacteristic
1231C4⋊C8C22×D7111yescharacteristic
1232C4⋊C8C22×D7111yescharacteristic
1233C22⋊C8—711no—
1234C22⋊C8—711no—
1235C22⋊C8—711no—
1236C22⋊C8—711no—
1237C22⋊C8—711no—
1238C22⋊C8—711no—
1239C22⋊C8—711no—
1240C22⋊C8—711no—
1241C22⋊C8—711no—
1242C22⋊C8—711no—
1243C22⋊C8—711no—
1244C22⋊C8—711no—
1245C22⋊C8—711no—
1246C22⋊C8—711no—
1247C22⋊C8—711no—
1248C22⋊C8—711no—
1249C22⋊C8C22×D7111yescharacteristic
1250C22⋊C8C22×D7111yescharacteristic
1251C22⋊C8C22×D7111yescharacteristic
1252C22⋊C8C22×D7111yescharacteristic
1253#97—711no—
1254#97—711no—
1255#97—711no—
1256#97—711no—
1257#97—711no—
1258#97—711no—
1259#97—711no—
1260#97—711no—
1261#97—711no—
1262#97—711no—
1263#97—711no—
1264#97—711no—
1265#97—711no—
1266#97—711no—
1267#97C22×D7111yescharacteristic
1268#97C22×D7111yescharacteristic
1269#97C22×D7111yescharacteristic
1270#97C22×D7111yescharacteristic
1271#97C22×D7111yescharacteristic
1272#97C22×D7111yescharacteristic
1273C4×C8—711no—
1274C4×C8—711no—
1275C4×C8—711no—
1276C4×C8—711no—
1277C4×C8—711no—
1278C4×C8—711no—
1279C4×C8—711no—
1280C4×C8—711no—
1281C4×C8—711no—
1282C4×C8—711no—
1283C4×C8—711no—
1284C4×C8—711no—
1285C4×C8—711no—
1286C4×C8—711no—
1287C4×C8C22×D7111yescharacteristic
1288C4×C8C22×D7111yescharacteristic
1289C4×C8C22×D7111yescharacteristic
1290C4×C8C22×D7111yescharacteristic
1291C4×C8C22×D7111yescharacteristic
1292C4×C8C22×D7111yescharacteristic
1293#41—2842no—
1294#41—2842no—
1295C2×Q8—2842no—
1296C2×Q8—711no—
1297C2×Q8—711no—
1298C2×Q8—711no—
1299C2×Q8—711no—
1300C2×Q8—711no—
1301C2×Q8—711no—
1302C2×Q8C2×C4×D7111yescharacteristic
1303C2×Q8C2×C4×D7111yescharacteristic
1304C2×Q8C2×C4×D7111yescharacteristic
1305C2×Q8C2×C4×D7111yescharacteristic
1306C2×D4—711no—
1307C2×D4—711no—
1308C2×D4—711no—
1309C2×D4—711no—
1310C2×D4—711no—
1311C2×D4—711no—
1312C2×D4—711no—
1313C2×D4—711no—
1314C2×D4—711no—
1315C2×D4—711no—
1316C22×C4—711no—
1317C22×C4—711no—
1318C22×C4—711no—
1319C22×C4—711no—
1320C22×C4—711no—
1321C22×C4—711no—
1322C22×C4—711no—
1323C22×C4—711no—
1324C22×C4—711no—
1325C22×C4—711no—
1326C22×C4—711no—
1327C22×C4—711no—
1328C22×C4—711no—
1329C22×C4—711no—
1330C22×C4—711no—
1331C22×C4—711no—
1332C22×C4C2×C4×D7111yescharacteristic
1333C22×C4C2×C4×D7111yescharacteristic
1334C22×C4C23×D7111yescharacteristic
1335M16—2841no—
1336M16—2841no—
1337M16—2841no—
1338M16—2841no—
1339M16—2841no—
1340M16—2841no—
1341M16—2841no—
1342M16—2841no—
1343M16—2841no—
1344M16—2841no—
1345M16—1422no—
1346M16—1422no—
1347C2×C8—2841no—
1348C2×C8—2841no—
1349C2×C8—2841no—
1350C2×C8—2841no—
1351C2×C8—2841no—
1352C2×C8—711no—
1353C2×C8—711no—
1354C2×C8—711no—
1355C2×C8—711no—
1356C2×C8—711no—
1357C2×C8—711no—
1358C2×C8—711no—
1359C2×C8—711no—
1360C2×C8—1422no—
1361C2×C8—1422no—
1362C2×C8—1422no—
1363C2×C8C23×D7111yescharacteristic
1364C2×C8C23×D7111yescharacteristic
1365C2×C8C23×D7111yescharacteristic
1366C2×C8C23×D7111yescharacteristic
1367C2×C8C23×D7111yescharacteristic
1368C2×C8C23×D7111yescharacteristic
1369C2×C8C23×D7111yescharacteristic
1370C2×C8C23×D7111yescharacteristic
1371C4⋊C4—711no—
1372C4⋊C4—711no—
1373C4⋊C4—711no—
1374C4⋊C4—711no—
1375C4⋊C4—711no—
1376C4⋊C4—711no—
1377C4⋊C4—711no—
1378C4⋊C4—711no—
1379C4⋊C4—711no—
1380C4⋊C4—711no—
1381C4⋊C4—711no—
1382C4⋊C4—711no—
1383C4⋊C4—711no—
1384C4⋊C4—711no—
1385C4⋊C4—711no—
1386C4⋊C4—711no—
1387C4⋊C4—711no—
1388C4⋊C4—711no—
1389C4⋊C4—711no—
1390C4⋊C4—711no—
1391C4⋊C4—711no—
1392C4⋊C4—711no—
1393C4⋊C4—711no—
1394C4⋊C4—711no—
1395C4⋊C4—711no—
1396C4⋊C4—711no—
1397C4⋊C4—711no—
1398C4⋊C4—711no—
1399C4⋊C4—711no—
1400C4⋊C4—711no—
1401C4⋊C4—711no—
1402C4⋊C4—711no—
1403C4⋊C4—711no—
1404C4⋊C4—711no—
1405C4⋊C4—711no—
1406C4⋊C4—711no—
1407C4⋊C4—711no—
1408C4⋊C4—711no—
1409C4⋊C4—711no—
1410C4⋊C4—711no—
1411C4⋊C4C2×C4×D7111yescharacteristic
1412C4⋊C4C2×C4×D7111yescharacteristic
1413C4⋊C4C2×C4×D7111yescharacteristic
1414C4⋊C4C2×C4×D7111yescharacteristic
1415C4⋊C4C2×C4×D7111yescharacteristic
1416C4⋊C4C2×C4×D7111yescharacteristic
1417C4⋊C4C2×C4×D7111yescharacteristic
1418C4⋊C4C2×C4×D7111yescharacteristic
1419C4⋊C4C2×C4×D7111yescharacteristic
1420C4⋊C4C2×C4×D7111yescharacteristic
1421C4⋊C4C2×C4×D7111yescharacteristic
1422C4⋊C4C2×C4×D7111yescharacteristic
1423C4⋊C4C2×C4×D7111yescharacteristic
1424C4⋊C4C2×C4×D7111yescharacteristic
1425C4⋊C4C2×C4×D7111yescharacteristic
1426C4⋊C4C2×C4×D7111yescharacteristic
1427C22⋊C4—711no—
1428C22⋊C4—711no—
1429C22⋊C4—711no—
1430C22⋊C4—711no—
1431C22⋊C4—711no—
1432C22⋊C4—711no—
1433C22⋊C4—711no—
1434C22⋊C4—711no—
1435C22⋊C4—711no—
1436C22⋊C4—711no—
1437C22⋊C4—711no—
1438C22⋊C4—711no—
1439C22⋊C4—711no—
1440C22⋊C4—711no—
1441C22⋊C4—711no—
1442C22⋊C4—711no—
1443C22⋊C4—711no—
1444C22⋊C4—711no—
1445C22⋊C4—711no—
1446C22⋊C4—711no—
1447C22⋊C4—711no—
1448C22⋊C4—711no—
1449C22⋊C4—711no—
1450C22⋊C4—711no—
1451C22⋊C4—711no—
1452C22⋊C4—711no—
1453C22⋊C4—711no—
1454C22⋊C4—711no—
1455C22⋊C4—711no—
1456C22⋊C4—711no—
1457C22⋊C4—711no—
1458C22⋊C4—711no—
1459C22⋊C4C2×C4×D7111yescharacteristic
1460C22⋊C4C2×C4×D7111yescharacteristic
1461C22⋊C4C2×C4×D7111yescharacteristic
1462C22⋊C4C2×C4×D7111yescharacteristic
1463C42—711no—
1464C42—711no—
1465C42—711no—
1466C42—711no—
1467C42—711no—
1468C42—711no—
1469C42—711no—
1470C42—711no—
1471C42—711no—
1472C42—711no—
1473C42—711no—
1474C42—711no—
1475C42—711no—
1476C42—711no—
1477C42—711no—
1478C42—711no—
1479C42C2×C4×D7111yescharacteristic
1480C42C2×C4×D7111yescharacteristic
1481C42C23×D7111yescharacteristic
1482C42C23×D7111yescharacteristic
1483C42C23×D7111yescharacteristic
1484C42C23×D7111yescharacteristic
1485C42C23×D7111yescharacteristic
1486C42C23×D7111yescharacteristic
1487C23—711no—
1488C23—711no—
1489C23—711no—
1490C23—711no—
1491C23C22×C4×D7111yescharacteristic
1492Q8—41no—
1493Q8—41no—
1494Q8—41no—
1495Q8—41no—
1496Q8—2841no—
1497Q8—2841no—
1498Q8—2841no—
1499Q8—1422no—
1500Q8—1422no—
1501Q8—1422no—
1502D4—2841no—
1503D4—2841no—
1504D4—2841no—
1505D4—2841no—
1506D4—2841no—
1507D4—2841no—
1508D4—2841no—
1509D4—2841no—
1510D4—2841no—
1511D4—1422no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—2841no—
1517C2×C4—2841no—
1518C2×C4—2841no—
1519C2×C4—2841no—
1520C2×C4—2841no—
1521C2×C4—2841no—
1522C2×C4—2841no—
1523C2×C4—2841no—
1524C2×C4—2841no—
1525C2×C4—711no—
1526C2×C4—711no—
1527C2×C4—711no—
1528C2×C4—711no—
1529C2×C4—711no—
1530C2×C4—711no—
1531C2×C4—711no—
1532C2×C4—711no—
1533C2×C4—711no—
1534C2×C4—711no—
1535C2×C4—711no—
1536C2×C4—711no—
1537C2×C4—1422no—
1538C2×C4—1422no—
1539C2×C4—1422no—
1540C2×C4—1421no—
1541C2×C4—1421no—
1542C2×C4—1421no—
1543C2×C4—1421no—
1544C2×C4—1421no—
1545C2×C4—1421no—
1546C2×C4—1421no—
1547C2×C4—1421no—
1548C2×C4C22×C4×D7111yescharacteristic
1549C2×C4C22×C4×D7111yescharacteristic
1550C2×C4C22×C4×D7111yescharacteristic
1551C2×C4C22×C4×D7111yescharacteristic
1552C2×C4C22×C4×D7111yescharacteristic
1553C2×C4C22×C4×D7111yescharacteristic
1554C2×C4C22×C4×D7111yescharacteristic
1555C2×C4C22×C4×D7111yescharacteristic
1556C2×C4C22×C4×D7111yescharacteristic
1557C2×C4C22×C4×D7111yescharacteristic
1558C2×C4C22×C4×D7111yescharacteristic
1559C2×C4C22×C4×D7111yescharacteristic
1560C2×C4C22×C4×D7111yescharacteristic
1561C2×C4C24×D7111yescharacteristic
1562C8—21no—
1563C8—21no—
1564C8—21no—
1565C8—21no—
1566C8—21no—
1567C8—21no—
1568C8—21no—
1569C8—21no—
1570C8—712no—
1571C8—1421no—
1572C8—1421no—
1573C8—1421no—
1574C8—1421no—
1575C8—1421no—
1576C8—1421no—
1577C8—1421no—
1578C22—21no—
1579C22—21no—
1580C22—21no—
1581C22—1421no—
1582C22—1421no—
1583C22—1421no—
1584C22—1421no—
1585C22—1421no—
1586C22—1421no—
1587C22—1421no—
1588C22—1421no—
1589C22—1421no—
1590C22—1421no—
1591C22—1421no—
1592C22—1421no—
1593C22C23×C4×D7111yescharacteristic
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—712no—
1608C4—1421no—
1609C4—1421no—
1610C4—1421no—
1611C4—1421no—
1612C4—1421no—
1613C4—1421no—
1614C4—1421no—
1615C4—1421no—
1616C4—1421no—
1617C4—1421no—
1618C4—1421no—
1619C42−1+4×D7111yescharacteristic
1620C4#1798683611yescharacteristic
1621C2—41no—
1622C2—2841no—
1623C2—2841no—
1624C2—2841no—
1625C2—2841no—
1626C2#2260154911yescharacteristic
1627C2#568×D7111yescharacteristic
1628C2#2260305111yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D71
commutator, socleC22×C71C24×C4
FittingC71×#2985C2
prime radical#17986579C4
cosocleC2×C4×C71C25
hypercenter#2985D71
hypocenterC71#60344
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ #2985

Complements

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

NH ≅ G/Ntype
2. #22597512C2semidirect
3. #22597509C2semidirect
4. #22597509C2semidirect
5. #22597505C2semidirect
6. #22597494C2semidirect
7. #22597488C2semidirect
8. #22597483C2semidirect
9. #22597483C2semidirect
10. #22597469C2semidirect
11. #22597456C2semidirect
12. #22597440C2semidirect
13. #22597433C2semidirect
14. #22597433C2semidirect
15. #22597426C2semidirect
16. #22597349C2semidirect
17. #22597343C2semidirect
18. #22597342C2semidirect
19. #22597342C2semidirect
20. #22597333C2semidirect
21. #22597329C2semidirect
22. #22597324C2semidirect
23. #22597323C2semidirect
24. #22597313C2semidirect
25. #22597305C2semidirect
26. #22597292C2semidirect
27. #22597285C2semidirect
28. #22597281C2semidirect
29. #22597276C2semidirect
30. #22597269C2semidirect
31. C71×#2985C2semidirect
829. #2985D71semidirect
846. C71#60344semidirect

Maximal subgroups

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

subgroupindex
#226017712
#225975122
#225975092
#225975052
#225974942
#225974882
#225974832
#225974692
#225974562
#225974402
#225974332
#225974262
#225973492
#225973432
#225973422
#225973332
#225973292
#225973242
#225973232
#225973132
#225973052
#225972922
#225972852
#225972812
#225972762
#225972692
C71×#29852
#6034471