Finite Group Databasebeta

← C2×#22602821 #32905160

Subgroups — C2×#22602821 #32905160

Order 18176.

6446 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602821C2132yesmaximal, direct product factor
2C2×#17986753C211yesmaximal, characteristic, complemented
3C2×#17986751C211yesmaximal, characteristic, complemented
4C2×#17986750C211yesmaximal, characteristic, complemented
5C2×#17986748C211yesmaximal, characteristic, complemented
6C2×#17986729C211yesmaximal, characteristic, complemented
7C2×#17986727C211yesmaximal, characteristic, complemented
8C2×#17986726C211yesmaximal, characteristic, complemented
9C2×#17986726C211yesmaximal, characteristic, complemented
10C2×#17986721C211yesmaximal, characteristic, complemented
11C2×#17986717C211yesmaximal, characteristic, complemented
12C2×#17986716C211yesmaximal, characteristic, complemented
13C2×#17986716C211yesmaximal, characteristic, complemented
14C2×#17986716C211yesmaximal, characteristic, complemented
15C2×#17986703C211yesmaximal, characteristic, complemented
16C2×#17986682C211yesmaximal, characteristic, complemented
17C2×#17986681C211yesmaximal, characteristic, complemented
18C2×#17986629C211yesmaximal, characteristic, complemented
19C2×#17986628C211yesmaximal, characteristic, complemented
20C2×#17986619C211yesmaximal, characteristic
21C2×#17986615C211yesmaximal, characteristic
22C2×#17986608C211yesmaximal, characteristic, complemented
23C2×#17986608C211yesmaximal, characteristic, complemented
24C2×#17986608C211yesmaximal, characteristic, complemented
25C2×#17986608C211yesmaximal, characteristic, complemented
26C2×#17986607C211yesmaximal, characteristic, complemented
27C2×#17986606C211yesmaximal, characteristic, complemented
28C2×#17986606C211yesmaximal, characteristic, complemented
29C2×#17986555C211yesmaximal, characteristic, complemented
30C2×#17986553C211yesmaximal, characteristic, complemented
31C2×#17986532C211yesmaximal, characteristic
32C2×#541×C71C211yesmaximal, characteristic, complemented
33#17986753C22116yescomplemented
34#17986751C22116yescomplemented
35#17986750C22116yescomplemented
36#17986748C22116yescomplemented
37#17986729C22116yescomplemented
38#17986727C22116yescomplemented
39#17986726C22116yescomplemented
40#17986726C22116yescomplemented
41#17986721C22116yescomplemented
42#17986717C22116yescomplemented
43#17986716C22116yescomplemented
44#17986716C22116yescomplemented
45#17986716C22116yescomplemented
46#17986703C22116yescomplemented
47#17986682C22116yescomplemented
48#17986681C22116yescomplemented
49#17986629C22116yescomplemented
50#17986628C22116yescomplemented
51#17986619C22116yes—
52#17986615C22116yes—
53#17986608C22116yescomplemented
54#17986608C22116yescomplemented
55#17986608C22116yescomplemented
56#17986608C22116yescomplemented
57#17986607C22116yescomplemented
58#17986606C22116yescomplemented
59#17986606C22116yescomplemented
60#17986555C22116yescomplemented
61#17986553C22116yescomplemented
62C2×#14556128C2211yescharacteristic
63C2×#14556127C2211yescharacteristic
64C2×#14556127C2211yescharacteristic
65C2×#14556127C2211yescharacteristic
66C2×#14556127C2211yescharacteristic
67C2×#14556127C2211yescharacteristic
68C2×#14556127C2211yescharacteristic
69C2×#14556127C2211yescharacteristic
70C2×#14556127C2211yescharacteristic
71C2×#14556127C2211yescharacteristic
72C2×#14556127C2211yescharacteristic
73C2×#14556127C2211yescharacteristic
74C2×#14556126C2211yescharacteristic
75C2×#14556126C2211yescharacteristic
76C2×#14556126C2211yescharacteristic
77C2×#14556126C2211yescharacteristic
78C2×#14556126C2211yescharacteristic
79#17986532C22116yes—
80C2×#14556123C2211yescharacteristic
81C2×#14556123C2211yescharacteristic
82C2×#14556123C2211yescharacteristic
83C2×#14556123C2211yescharacteristic
84C2×#14556123C2211yescharacteristic
85C2×#14556123C2211yescharacteristic
86C2×#14556123C2211yescharacteristic
87C2×#14556123C2211yescharacteristic
88C2×#14556123C2211yescharacteristic
89C2×#14556123C2211yescharacteristic
90C2×#14556123C2211yescharacteristic
91C2×#14556123C2211yescharacteristic
92C2×#14556122C2211yescharacteristic
93C2×#14556122C2211yescharacteristic
94C2×#14556122C2211yescharacteristic
95C2×#14556122C2211yescharacteristic
96C2×#14556122C2211yescharacteristic
97C2×#14556121C2211yescharacteristic
98C2×#14556121C2211yescharacteristic
99C2×#14556121C2211yescharacteristic
100C2×#14556121C2211yescharacteristic
101C2×#14556121C2211yescharacteristic
102C2×#14556120C2211yescharacteristic
103C2×#14556120C2211yescharacteristic
104C2×#14556120C2211yescharacteristic
105C2×#14556119C2211yescharacteristic
106C2×#14556119C2211yescharacteristic
107C2×#14556119C2211yescharacteristic
108C2×#14556119C2211yescharacteristic
109C2×#14556118C2211yescharacteristic
110C2×#14556118C2211yescharacteristic
111C2×#14556118C2211yescharacteristic
112C2×#14556118C2211yescharacteristic
113C2×#14556118C2211yescharacteristic
114C2×#14556118C2211yescharacteristic
115C2×#14556118C2211yescharacteristic
116C2×#14556118C2211yescharacteristic
117C2×#14556118C2211yescharacteristic
118C2×#14556118C2211yescharacteristic
119C2×#14556118C2211yescharacteristic
120C2×#14556118C2211yescharacteristic
121C2×#14556118C2211yescharacteristic
122C2×#14556118C2211yescharacteristic
123C2×#14556118C2211yescharacteristic
124C2×#14556118C2211yescharacteristic
125C2×#14556118C2211yescharacteristic
126C2×#14556117C2211yescharacteristic
127C2×#14556116C2211yescharacteristic
128C2×#14556114C2211yescharacteristic
129C2×#14556114C2211yescharacteristic
130C2×#14556114C2211yescharacteristic
131C2×#14556114C2211yescharacteristic
132C2×#14556114C2211yescharacteristic
133C2×#14556113C2211yescharacteristic
134C2×#14556113C2211yescharacteristic
135C2×#14556113C2211yescharacteristic
136C2×#14556112C2211yescharacteristic
137C2×#14556111C2211yescharacteristic
138C2×#14556110C2211yescharacteristic
139C2×#14556108C2211yescharacteristic
140C2×#14556108C2211yescharacteristic
141C2×#14556108C2211yescharacteristic
142C2×#14556107C2211yescharacteristic
143C2×#14556106C2211yescharacteristic
144C2×#14556106C2211yescharacteristic
145C2×#14556106C2211yescharacteristic
146C2×#14556106C2211yescharacteristic
147C2×#14556106C2211yescharacteristic
148C2×#14556106C2211yescharacteristic
149C2×#14556106C2211yescharacteristic
150C2×#14556106C2211yescharacteristic
151C2×#14556106C2211yescharacteristic
152C2×#14556106C2211yescharacteristic
153C2×#14556106C2211yescharacteristic
154C2×#14556106C2211yescharacteristic
155C2×#14556105C2211yescharacteristic
156C2×#14556105C2211yescharacteristic
157C2×#14556105C2211yescharacteristic
158C2×#14556105C2211yescharacteristic
159C2×#14556105C2211yescharacteristic
160C2×#14556104C2211yescharacteristic
161C2×#14556104C2211yescharacteristic
162C2×#14556101C2211yescharacteristic
163C2×C4×Dic142C2211yescharacteristic
164C2×C4×Dic142C2211yescharacteristic
165C2×C4×Dic142C2211yescharacteristic
166C2×C4×Dic142C2211yescharacteristic
167C2×C4×Dic142C2211yescharacteristic
168C2×C4×Dic142C2211yescharacteristic
169C2×C4×Dic142C2211yescharacteristic
170C2×C4×Dic142C2211yescharacteristic
171C2×C4×Dic142C2211yescharacteristic
172C2×#14556093C2211yescharacteristic
173C2×#14556093C2211yescharacteristic
174C2×#14556093C2211yescharacteristic
175C2×#14556093C2211yescharacteristic
176C2×#14556093C2211yescharacteristic
177C2×#14556093C2211yescharacteristic
178C2×#14556093C2211yescharacteristic
179C2×#14556093C2211yescharacteristic
180C2×#14556093C2211yescharacteristic
181C2×#14556093C2211yescharacteristic
182C2×#14556093C2211yescharacteristic
183C2×#14556093C2211yescharacteristic
184C2×#14556090C2211yescharacteristic
185C2×C4×C22⋊D71C2211yescharacteristic
186C2×(C22⋊D71)⋊C4C2211yescharacteristic
187C2×(C22⋊D71)⋊C4C2211yescharacteristic
188C2×(C22⋊D71)⋊C4C2211yescharacteristic
189C2×#14556086C2211yescharacteristic
190C2×#14556086C2211yescharacteristic
191C2×#14556086C2211yescharacteristic
192C2×#14556086C2211yescharacteristic
193C2×#14556085C2211yescharacteristic
194C2×#14556085C2211yescharacteristic
195C2×#14556085C2211yescharacteristic
196C2×#14556085C2211yescharacteristic
197C2×#14556084C2211yescharacteristic
198C2×#14556084C2211yescharacteristic
199C2×#14556084C2211yescharacteristic
200C22×Dic71⋊C4C2211yescharacteristic
201C2×C4⋊C4×D71C2211yescharacteristic
202C2×C42×D71C2211yescharacteristic
203#541×C71C22116yescomplemented
204C2×C4⋊Q8×C71C2211yescharacteristic
205C2×#126×C71C2211yescharacteristic
206C2×#126×C71C2211yescharacteristic
207C2×#126×C71C2211yescharacteristic
208C2×#126×C71C2211yescharacteristic
209C2×#125×C71C2211yescharacteristic
210C2×#125×C71C2211yescharacteristic
211C2×#125×C71C2211yescharacteristic
212C2×#125×C71C2211yescharacteristic
213C2×#125×C71C2211yescharacteristic
214C2×C22⋊Q8×C71C2211yescharacteristic
215C2×C22⋊Q8×C71C2211yescharacteristic
216C2×C4×Q8×C71C2211yescharacteristic
217C2×C4×Q8×C71C2211yescharacteristic
218C2×#117×C71C2211yescharacteristic
219C22×Dic142C2311yescharacteristic
220C22×Dic142C2311yescharacteristic
221C22×Dic142C2311yescharacteristic
222C22×Dic142C2311yescharacteristic
223C22×Dic142C2311yescharacteristic
224C22×Dic142C2311yescharacteristic
225C22×Dic142C2311yescharacteristic
226C22×Dic142C2311yescharacteristic
227C22×Dic142C2311yescharacteristic
228C22×Dic142C2311yescharacteristic
229C22×Dic142C2311yescharacteristic
230C22×D284C2311yescharacteristic
231C22×C22⋊D71C2311yescharacteristic
232C22×C22⋊D71C2311yescharacteristic
233C23×Dic71C2311yescharacteristic
234C23×Dic71C2311yescharacteristic
235C22×C4×D71C2311yescharacteristic
236C22×C4×D71C2311yescharacteristic
237C22×C4×D71C2311yescharacteristic
238C22×C4×D71C2311yescharacteristic
239C22×C4×D71C2311yescharacteristic
240C22×C4×D71C2311yescharacteristic
241#14556128C2318yes—
242#14556127C2318yes—
243#14556127C2318yes—
244#14556127C2318yes—
245#14556127C2318yes—
246#14556127C2318yes—
247#14556127C2318yes—
248#14556127C2318yes—
249#14556127C2318yes—
250#14556127C2318yes—
251#14556127C2318yes—
252#14556127C2318yes—
253#14556126C2318yes—
254#14556126C2318yes—
255#14556126C2318yes—
256#14556126C2318yes—
257#14556126C2318yes—
258#14556123C2318yes—
259#14556123C2318yes—
260#14556123C2318yes—
261#14556123C2318yes—
262#14556123C2318yes—
263#14556123C2318yes—
264#14556123C2318yes—
265#14556123C2318yes—
266#14556123C2318yes—
267#14556123C2318yes—
268#14556123C2318yes—
269#14556123C2318yes—
270#14556122C2318yes—
271#14556122C2318yes—
272#14556122C2318yes—
273#14556122C2318yes—
274#14556122C2318yes—
275#14556121C2318yes—
276#14556121C2318yes—
277#14556121C2318yes—
278#14556121C2318yes—
279#14556121C2318yes—
280#14556120C2318yes—
281#14556120C2318yes—
282#14556120C2318yes—
283#14556119C2318yes—
284#14556119C2318yes—
285#14556119C2318yes—
286#14556119C2318yes—
287#14556118C2318yes—
288#14556118C2318yes—
289#14556118C2318yes—
290#14556118C2318yes—
291#14556118C2318yes—
292#14556118C2318yes—
293#14556118C2318yes—
294#14556118C2318yes—
295#14556118C2318yes—
296#14556118C2318yes—
297#14556118C2318yes—
298#14556118C2318yes—
299#14556118C2318yes—
300#14556118C2318yes—
301#14556118C2318yes—
302#14556118C2318yes—
303#14556118C2318yes—
304#14556117C2318yes—
305#14556116C2318yes—
306#14556114C2318yes—
307#14556114C2318yes—
308#14556114C2318yes—
309#14556114C2318yes—
310#14556114C2318yes—
311#14556113C2318yes—
312#14556113C2318yes—
313#14556113C2318yes—
314#14556112C2318yes—
315#14556111C2318yes—
316#14556110C2318yes—
317#14556108C2318yes—
318#14556108C2318yes—
319#14556108C2318yes—
320#14556107C2318yes—
321#14556106C2318yes—
322#14556106C2318yes—
323#14556106C2318yes—
324#14556106C2318yes—
325#14556106C2318yes—
326#14556106C2318yes—
327#14556106C2318yes—
328#14556106C2318yes—
329#14556106C2318yes—
330#14556106C2318yes—
331#14556106C2318yes—
332#14556106C2318yes—
333#14556105C2318yes—
334#14556105C2318yes—
335#14556105C2318yes—
336#14556105C2318yes—
337#14556105C2318yes—
338#14556104C2318yes—
339#14556104C2318yes—
340#14556101C2318yes—
341C4×Dic142C2318yes—
342C4×Dic142C2318yes—
343C4×Dic142C2318yes—
344C4×Dic142C2318yes—
345C4×Dic142C2318yes—
346C4×Dic142C2318yes—
347C4×Dic142C2318yes—
348C4×Dic142C2318yes—
349C4×Dic142C2318yes—
350#14556093C2318yes—
351#14556093C2318yes—
352#14556093C2318yes—
353#14556093C2318yes—
354#14556093C2318yes—
355#14556093C2318yes—
356#14556093C2318yes—
357#14556093C2318yes—
358#14556093C2318yes—
359#14556093C2318yes—
360#14556093C2318yes—
361#14556093C2318yes—
362#14556090C2318yes—
363C4×C22⋊D71C2318yes—
364(C22⋊D71)⋊C4C2318yes—
365(C22⋊D71)⋊C4C2318yes—
366(C22⋊D71)⋊C4C2318yes—
367#14556086C2318yes—
368#14556086C2318yes—
369#14556086C2318yes—
370#14556086C2318yes—
371#14556085C2318yes—
372#14556085C2318yes—
373#14556085C2318yes—
374#14556085C2318yes—
375#14556084C2318yes—
376#14556084C2318yes—
377#14556084C2318yes—
378C2×C4⋊Dic71C2311yescharacteristic
379C2×C4⋊Dic71C2311yescharacteristic
380C2×C4⋊Dic71C2311yescharacteristic
381C2×C4⋊Dic71C2311yescharacteristic
382C2×C4⋊Dic71C2311yescharacteristic
383C2×C4⋊Dic71C2311yescharacteristic
384C2×C4⋊Dic71C2311yescharacteristic
385C2×C4⋊Dic71C2311yescharacteristic
386C2×C4⋊Dic71C2311yescharacteristic
387C2×C4⋊Dic71C2311yescharacteristic
388C2×C4⋊Dic71C2311yescharacteristic
389C2×C4⋊Dic71C2311yescharacteristic
390C2×C4⋊Dic71C2311yescharacteristic
391C2×C4⋊Dic71C2311yescharacteristic
392C2×Dic71⋊C4C2318yes—
393C2×Dic71⋊C4C2311yescharacteristic
394C2×Dic71⋊C4C2311yescharacteristic
395C2×Dic71⋊C4C2311yescharacteristic
396C2×Dic71⋊C4C2311yescharacteristic
397C2×Dic71⋊C4C2311yescharacteristic
398C2×Dic71⋊C4C2311yescharacteristic
399C2×Dic71⋊C4C2311yescharacteristic
400C2×Dic71⋊C4C2311yescharacteristic
401C2×Dic71⋊C4C2311yescharacteristic
402C2×Dic71⋊C4C2311yescharacteristic
403C2×Dic71⋊C4C2311yescharacteristic
404C2×Dic71⋊C4C2311yescharacteristic
405C2×Dic71⋊C4C2311yescharacteristic
406C2×Dic71⋊C4C2311yescharacteristic
407C2×Dic71⋊C4C2311yescharacteristic
408C2×Dic71⋊C4C2311yescharacteristic
409C2×Dic71⋊C4C2311yescharacteristic
410C2×Dic71⋊C4C2311yescharacteristic
411C2×Dic71⋊C4C2311yescharacteristic
412C2×Dic71⋊C4C2311yescharacteristic
413C2×Dic71⋊C4C2311yescharacteristic
414C2×Dic71⋊C4C2311yescharacteristic
415C2×Dic71⋊C4C2311yescharacteristic
416C2×Dic71⋊C4C2311yescharacteristic
417C2×Dic71⋊C4C2311yescharacteristic
418C2×Dic71⋊C4C2311yescharacteristic
419C2×Dic71⋊C4C2311yescharacteristic
420C2×Dic71⋊C4C2311yescharacteristic
421C2×Dic71⋊C4C2311yescharacteristic
422C2×Dic71⋊C4C2311yescharacteristic
423C2×Dic71⋊C4C2311yescharacteristic
424C2×Dic71⋊C4C2311yescharacteristic
425C2×Dic71⋊C4C2311yescharacteristic
426C2×Dic71⋊C4C2311yescharacteristic
427C2×Dic71⋊C4C2311yescharacteristic
428C2×Dic71⋊C4C2311yescharacteristic
429C2×Dic71⋊C4C2311yescharacteristic
430C2×Dic71⋊C4C2311yescharacteristic
431C2×Dic71⋊C4C2311yescharacteristic
432C2×Dic71⋊C4C2311yescharacteristic
433C4⋊C4×D71C2318yes—
434C2×C22⋊Dic71C2311yescharacteristic
435C2×C22⋊Dic71C2311yescharacteristic
436C2×C22⋊Dic71C2311yescharacteristic
437C2×C22⋊Dic71C2311yescharacteristic
438C2×(C2×D71)⋊C4C2311yescharacteristic
439C2×(C2×D71)⋊C4C2311yescharacteristic
440C2×(C2×D71)⋊C4C2311yescharacteristic
441C2×(C2×D71)⋊C4C2311yescharacteristic
442C2×(C2×D71)⋊C4C2311yescharacteristic
443C2×(C2×D71)⋊C4C2311yescharacteristic
444C2×(C2×D71)⋊C4C2311yescharacteristic
445C2×(C2×D71)⋊C4C2311yescharacteristic
446C2×(C2×D71)⋊C4C2311yescharacteristic
447C2×(C2×D71)⋊C4C2311yescharacteristic
448C2×(C2×D71)⋊C4C2311yescharacteristic
449C2×(C2×D71)⋊C4C2311yescharacteristic
450C2×(C2×D71)⋊C4C2311yescharacteristic
451C2×(C2×D71)⋊C4C2311yescharacteristic
452C2×(C2×D71)⋊C4C2311yescharacteristic
453C2×(C2×D71)⋊C4C2311yescharacteristic
454C2×(C2×D71)⋊C4C2311yescharacteristic
455C2×(C2×D71)⋊C4C2311yescharacteristic
456C2×(C2×D71)⋊C4C2311yescharacteristic
457C2×(C2×D71)⋊C4C2311yescharacteristic
458C2×C4×Dic71C2311yescharacteristic
459C2×C4×Dic71C2311yescharacteristic
460C2×C4×Dic71C2311yescharacteristic
461C2×C4×Dic71C2311yescharacteristic
462C2×C4×Dic71C2311yescharacteristic
463C2×C4×Dic71C2311yescharacteristic
464C2×C4×Dic71C2311yescharacteristic
465C2×C4×Dic71C2311yescharacteristic
466C2×C4×Dic71C2311yescharacteristic
467C2×C4×Dic71C2311yescharacteristic
468C2×C4×Dic71C2311yescharacteristic
469C2×C4×Dic71C2311yescharacteristic
470C2×C4×Dic71C2311yescharacteristic
471C2×C4×Dic71C2311yescharacteristic
472C2×C4×Dic71C2311yescharacteristic
473C2×C4×Dic71C2311yescharacteristic
474C2×C4×Dic71C2311yescharacteristic
475C2×C4×Dic71C2311yescharacteristic
476C2×C4×Dic71C2311yescharacteristic
477C2×C4×Dic71C2311yescharacteristic
478C42×D71C2318yes—
479C22×Q8×C71C2311yescharacteristic
480C22×Q8×C71C2311yescharacteristic
481C23×C4×C71C2311yescharacteristic
482C4⋊Q8×C71C2318yes—
483#126×C71C2318yes—
484#126×C71C2318yes—
485#126×C71C2318yes—
486#126×C71C2318yes—
487#125×C71C2318yes—
488#125×C71C2318yes—
489#125×C71C2318yes—
490#125×C71C2318yes—
491#125×C71C2318yes—
492C22⋊Q8×C71C2318yes—
493C22⋊Q8×C71C2318yes—
494C4×Q8×C71C2318yes—
495C4×Q8×C71C2318yes—
496#117×C71C2318yes—
497C2×C4⋊C4×C71C2311yescharacteristic
498C2×C4⋊C4×C71C2311yescharacteristic
499C2×C4⋊C4×C71C2311yescharacteristic
500C2×C4⋊C4×C71C2311yescharacteristic
501C2×C4⋊C4×C71C2311yescharacteristic
502C2×C4⋊C4×C71C2311yescharacteristic
503C2×C4⋊C4×C71C2311yescharacteristic
504C2×C4⋊C4×C71C2311yescharacteristic
505C2×C4⋊C4×C71C2311yescharacteristic
506C2×C4⋊C4×C71C2311yescharacteristic
507C2×C4⋊C4×C71C2311yescharacteristic
508C2×C4⋊C4×C71C2311yescharacteristic
509C2×C4⋊C4×C71C2311yescharacteristic
510C2×C4⋊C4×C71C2311yescharacteristic
511C2×C4⋊C4×C71C2311yescharacteristic
512C2×C4⋊C4×C71C2311yescharacteristic
513C2×C4⋊C4×C71C2311yescharacteristic
514C2×C4⋊C4×C71C2311yescharacteristic
515C2×C4⋊C4×C71C2311yescharacteristic
516C2×C4⋊C4×C71C2311yescharacteristic
517C2×C22⋊C4×C71C2311yescharacteristic
518C2×C22⋊C4×C71C2311yescharacteristic
519C2×C22⋊C4×C71C2311yescharacteristic
520C2×C22⋊C4×C71C2311yescharacteristic
521C2×C22⋊C4×C71C2311yescharacteristic
522C2×C22⋊C4×C71C2311yescharacteristic
523C2×C42×C71C2311yescharacteristic
524C2×C42×C71C2311yescharacteristic
525C2×C42×C71C2311yescharacteristic
526C2×C42×C71C2311yescharacteristic
527C2×C42×C71C2311yescharacteristic
528C2×C42×C71C2311yescharacteristic
529C23×D71C2411yescharacteristic
530C23×D71C2411yescharacteristic
531C2×Dic142—24no—
532C2×Dic142—24no—
533C2×Dic142—24no—
534C2×Dic142—24no—
535C2×Dic142—24no—
536C2×Dic142—42no—
537C2×Dic142—42no—
538C2×Dic142—42no—
539C2×Dic142—42no—
540C2×Dic142—42no—
541C2×Dic142—42no—
542C2×Dic142C2414yes—
543C2×Dic142C2414yes—
544C2×Dic142C2414yes—
545C2×Dic142C2414yes—
546C2×Dic142C2414yes—
547C2×Dic142C2414yes—
548C2×Dic142C2414yes—
549C2×Dic142C2414yes—
550C2×Dic142C2414yes—
551C2×Dic142C2414yes—
552C2×Dic142C2414yes—
553C2×D284—42no—
554C2×D284C2414yes—
555C2×C22⋊D71—24no—
556C2×C22⋊D71—42no—
557C2×C22⋊D71C2414yes—
558C2×C22⋊D71C2414yes—
559C22×Dic71—24no—
560C22×Dic71—42no—
561C22×Dic71C2411yescharacteristic
562C22×Dic71C2411yescharacteristic
563C22×Dic71C2411yescharacteristic
564C22×Dic71C2411yescharacteristic
565C22×Dic71C2411yescharacteristic
566C22×Dic71C2414yes—
567C22×Dic71C2411yescharacteristic
568C22×Dic71C2411yescharacteristic
569C22×Dic71C2411yescharacteristic
570C22×Dic71C2411yescharacteristic
571C22×Dic71C2411yescharacteristic
572C22×Dic71C2411yescharacteristic
573C22×Dic71C2411yescharacteristic
574C22×Dic71C2414yes—
575C22×Dic71C2411yescharacteristic
576C22×Dic71C2411yescharacteristic
577C2×C4×D71—24no—
578C2×C4×D71—24no—
579C2×C4×D71—24no—
580C2×C4×D71—42no—
581C2×C4×D71—42no—
582C2×C4×D71—42no—
583C2×C4×D71C2414yes—
584C2×C4×D71C2414yes—
585C2×C4×D71C2414yes—
586C2×C4×D71C2414yes—
587C2×C4×D71C2414yes—
588C2×C4×D71C2414yes—
589C4⋊Dic71C2414yes—
590C4⋊Dic71C2414yes—
591C4⋊Dic71C2414yes—
592C4⋊Dic71C2414yes—
593C4⋊Dic71C2414yes—
594C4⋊Dic71C2414yes—
595C4⋊Dic71C2414yes—
596C4⋊Dic71C2414yes—
597C4⋊Dic71C2414yes—
598C4⋊Dic71C2414yes—
599C4⋊Dic71C2414yes—
600C4⋊Dic71C2414yes—
601C4⋊Dic71C2414yes—
602C4⋊Dic71C2414yes—
603Dic71⋊C4C2414yes—
604Dic71⋊C4C2414yes—
605Dic71⋊C4C2414yes—
606Dic71⋊C4C2414yes—
607Dic71⋊C4C2414yes—
608Dic71⋊C4C2414yes—
609Dic71⋊C4C2414yes—
610Dic71⋊C4C2414yes—
611Dic71⋊C4C2414yes—
612Dic71⋊C4C2414yes—
613Dic71⋊C4C2414yes—
614Dic71⋊C4C2414yes—
615Dic71⋊C4C2414yes—
616Dic71⋊C4C2414yes—
617Dic71⋊C4C2414yes—
618Dic71⋊C4C2414yes—
619Dic71⋊C4C2414yes—
620Dic71⋊C4C2414yes—
621Dic71⋊C4C2414yes—
622Dic71⋊C4C2414yes—
623Dic71⋊C4C2414yes—
624Dic71⋊C4C2414yes—
625Dic71⋊C4C2414yes—
626Dic71⋊C4C2414yes—
627Dic71⋊C4C2414yes—
628Dic71⋊C4C2414yes—
629Dic71⋊C4C2414yes—
630Dic71⋊C4C2414yes—
631Dic71⋊C4C2414yes—
632Dic71⋊C4C2414yes—
633Dic71⋊C4C2414yes—
634Dic71⋊C4C2414yes—
635Dic71⋊C4C2414yes—
636Dic71⋊C4C2414yes—
637Dic71⋊C4C2414yes—
638Dic71⋊C4C2414yes—
639Dic71⋊C4C2414yes—
640Dic71⋊C4C2414yes—
641Dic71⋊C4C2414yes—
642Dic71⋊C4C2414yes—
643C22⋊Dic71C2414yes—
644C22⋊Dic71C2414yes—
645C22⋊Dic71C2414yes—
646C22⋊Dic71C2414yes—
647(C2×D71)⋊C4C2414yes—
648(C2×D71)⋊C4C2414yes—
649(C2×D71)⋊C4C2414yes—
650(C2×D71)⋊C4C2414yes—
651(C2×D71)⋊C4C2414yes—
652(C2×D71)⋊C4C2414yes—
653(C2×D71)⋊C4C2414yes—
654(C2×D71)⋊C4C2414yes—
655(C2×D71)⋊C4C2414yes—
656(C2×D71)⋊C4C2414yes—
657(C2×D71)⋊C4C2414yes—
658(C2×D71)⋊C4C2414yes—
659(C2×D71)⋊C4C2414yes—
660(C2×D71)⋊C4C2414yes—
661(C2×D71)⋊C4C2414yes—
662(C2×D71)⋊C4C2414yes—
663(C2×D71)⋊C4C2414yes—
664(C2×D71)⋊C4C2414yes—
665(C2×D71)⋊C4C2414yes—
666(C2×D71)⋊C4C2414yes—
667C4×Dic71C2414yes—
668C4×Dic71C2414yes—
669C4×Dic71C2414yes—
670C4×Dic71C2414yes—
671C4×Dic71C2414yes—
672C4×Dic71C2414yes—
673C4×Dic71C2414yes—
674C4×Dic71C2414yes—
675C4×Dic71C2414yes—
676C4×Dic71C2414yes—
677C4×Dic71C2414yes—
678C4×Dic71C2414yes—
679C4×Dic71C2414yes—
680C4×Dic71C2414yes—
681C4×Dic71C2414yes—
682C4×Dic71C2414yes—
683C4×Dic71C2414yes—
684C4×Dic71C2414yes—
685C4×Dic71C2414yes—
686C4×Dic71C2414yes—
687C24×C71C2411yescharacteristic
688C2×Q8×C71—42no—
689C2×Q8×C71—42no—
690C2×Q8×C71C2414yes—
691C2×Q8×C71C2414yes—
692C22×C4×C71—42no—
693C22×C4×C71C2411yescharacteristic
694C22×C4×C71C2411yescharacteristic
695C22×C4×C71C2411yescharacteristic
696C22×C4×C71C2411yescharacteristic
697C22×C4×C71C2411yescharacteristic
698C22×C4×C71C2411yescharacteristic
699C22×C4×C71C2411yescharacteristic
700C22×C4×C71C2411yescharacteristic
701C22×C4×C71C2411yescharacteristic
702C22×C4×C71C2411yescharacteristic
703C22×C4×C71C2411yescharacteristic
704C22×C4×C71C2411yescharacteristic
705C22×C4×C71C2411yescharacteristic
706C22×C4×C71C2411yescharacteristic
707C22×C4×C71C2414yes—
708C4⋊C4×C71C2414yes—
709C4⋊C4×C71C2414yes—
710C4⋊C4×C71C2414yes—
711C4⋊C4×C71C2414yes—
712C4⋊C4×C71C2414yes—
713C4⋊C4×C71C2414yes—
714C4⋊C4×C71C2414yes—
715C4⋊C4×C71C2414yes—
716C4⋊C4×C71C2414yes—
717C4⋊C4×C71C2414yes—
718C4⋊C4×C71C2414yes—
719C4⋊C4×C71C2414yes—
720C4⋊C4×C71C2414yes—
721C4⋊C4×C71C2414yes—
722C4⋊C4×C71C2414yes—
723C4⋊C4×C71C2414yes—
724C4⋊C4×C71C2414yes—
725C4⋊C4×C71C2414yes—
726C4⋊C4×C71C2414yes—
727C4⋊C4×C71C2414yes—
728C22⋊C4×C71C2414yes—
729C22⋊C4×C71C2414yes—
730C22⋊C4×C71C2414yes—
731C22⋊C4×C71C2414yes—
732C22⋊C4×C71C2414yes—
733C22⋊C4×C71C2414yes—
734C42×C71C2414yes—
735C42×C71C2414yes—
736C42×C71C2414yes—
737C42×C71C2414yes—
738C42×C71C2414yes—
739C42×C71C2414yes—
740C23×C71—22no—
741C23×C71—22no—
742C23×C71—22no—
743C23×C71C2512yes—
744C23×C71C2511yescharacteristic
745C22×D71—22no—
746C22×D71—22no—
747C22×D71—22no—
748C22×D71—22no—
749C22×D71—22no—
750C22×D71—22no—
751C22×D71C2512yes—
752C22×D71C2512yes—
753Q8×C71—44no—
754Q8×C71—44no—
755C2×C4×C71—22no—
756C2×C4×C71—22no—
757C2×C4×C71—22no—
758C2×C4×C71—22no—
759C2×C4×C71—22no—
760C2×C4×C71—22no—
761C2×C4×C71—22no—
762C2×C4×C71—22no—
763C2×C4×C71—22no—
764C2×C4×C71—22no—
765C2×C4×C71—22no—
766C2×C4×C71—22no—
767C2×C4×C71—22no—
768C2×C4×C71—22no—
769C2×C4×C71—44no—
770C2×C4×C71C2512yes—
771C2×C4×C71C2512yes—
772C2×C4×C71C2512yes—
773C2×C4×C71C2512yes—
774C2×C4×C71C2512yes—
775C2×C4×C71C2512yes—
776C2×C4×C71C2512yes—
777C2×C4×C71C2512yes—
778C2×C4×C71C2512yes—
779C2×C4×C71C2512yes—
780C2×C4×C71C2512yes—
781C2×C4×C71C2512yes—
782C2×C4×C71C2512yes—
783C2×C4×C71C2512yes—
784C22⋊D71—28no—
785C22⋊D71—44no—
786C2×Dic71—22no—
787C2×Dic71—22no—
788C2×Dic71—22no—
789C2×Dic71—22no—
790C2×Dic71—22no—
791C2×Dic71—22no—
792C2×Dic71—22no—
793C2×Dic71—22no—
794C2×Dic71—22no—
795C2×Dic71—22no—
796C2×Dic71—22no—
797C2×Dic71—22no—
798C2×Dic71—28no—
799C2×Dic71—44no—
800C2×Dic712−1+414yes—
801C2×Dic712−1+414yes—
802C2×Dic71C2512yes—
803C2×Dic71C2512yes—
804C2×Dic71C2512yes—
805C2×Dic71C2512yes—
806C2×Dic71C2512yes—
807C2×Dic71C2512yes—
808C2×Dic71C2512yes—
809C2×Dic71C2512yes—
810C2×Dic71C2512yes—
811C2×Dic71C2512yes—
812C2×Dic71C2512yes—
813C2×Dic71C2512yes—
814C2×Dic71C2512yes—
815C2×Dic71C2512yes—
816D284—44no—
817C4×D71—28no—
818C4×D71—28no—
819C4×D71—28no—
820C4×D71—44no—
821C4×D71—44no—
822C4×D71—44no—
823Dic142—28no—
824Dic142—28no—
825Dic142—28no—
826Dic142—28no—
827Dic142—28no—
828Dic142—44no—
829Dic142—44no—
830Dic142—44no—
831Dic142—44no—
832Dic142—44no—
833Dic142—44no—
834C22×C71—22no—
835C22×C71—22no—
836C22×C71—22no—
837C22×C71—44no—
838C22×C71C2×2−1+412yes—
839C22×C71C2×2−1+412yes—
840C22×C71#58512yes—
841C22×C71C2611yescharacteristic
842C2×D71—22no—
843C2×D71—22no—
844C2×D71—22no—
845C2×D71—22no—
846C2×D71—22no—
847C2×D71—22no—
848C2×D71—44no—
849C2×D71—44no—
850C4×C71—22no—
851C4×C71—22no—
852C4×C71—22no—
853C4×C71—22no—
854C4×C71—22no—
855C4×C71—22no—
856C4×C71—22no—
857C4×C71—22no—
858C4×C71—22no—
859C4×C71—22no—
860C4×C71—22no—
861C4×C71—22no—
862C4×C71—22no—
863C4×C71—22no—
864Dic71—22no—
865Dic71—22no—
866Dic71—22no—
867Dic71—22no—
868Dic71—22no—
869Dic71—22no—
870Dic71—22no—
871Dic71—22no—
872Dic71—22no—
873Dic71—22no—
874Dic71—22no—
875Dic71—22no—
876Dic71C2×2−1+414yes—
877Dic71C2×2−1+414yes—
878C2×#3555—711nomaximal, Sylow
879C2×C71—42no—
880C2×C71#355514yescomplemented
881C2×C71C22×2−1+411yescharacteristic
882C2×C71C22×2−1+411yescharacteristic
883C2×C71C2×#58511yescharacteristic
884D71—42no—
885D71—42no—
886#3555—7132no—
887C2×#563—711no—
888C2×#563—711no—
889C2×#563—711no—
890C2×#563—711no—
891C2×Q82—711no—
892C2×#557—711no—
893C2×#557—711no—
894C2×#557—711no—
895C2×#556—711no—
896C2×#556—711no—
897C2×#556—711no—
898C2×#556—711no—
899C2×#556—711no—
900C2×#554—711no—
901C2×#552—711no—
902C2×#552—711no—
903C2×#544—711no—
904C2×#544—711no—
905C2×#542—711no—
906C2×#542—711no—
907C2×#541—711no—
908C2×#541—711no—
909C2×#541—711no—
910C2×#541—711no—
911C2×#541—711no—
912C2×#541—711no—
913C2×#541—711no—
914C2×#541D7111yescharacteristic, complemented
915C2×#533—711no—
916C2×#533—711no—
917C2×#529—711no—
918C71C2×#355511yescharacteristic, complemented, Sylow
919#563—7116no—
920#563—7116no—
921#563—7116no—
922#563—7116no—
923Q82—7116no—
924#557—7116no—
925#557—7116no—
926#557—7116no—
927#556—7116no—
928#556—7116no—
929#556—7116no—
930#556—7116no—
931#556—7116no—
932#554—7116no—
933#552—7116no—
934#552—7116no—
935#544—7116no—
936#544—7116no—
937#542—7116no—
938#542—7116no—
939#541—7116no—
940#541—7116no—
941#541—7116no—
942#541—7116no—
943#541—7116no—
944#541—7116no—
945#541—7116no—
946#541C2×D71116yescomplemented
947#533—7116no—
948#533—7116no—
949C2×C4⋊Q8—711no—
950C2×C4⋊Q8—711no—
951C2×C4⋊Q8—711no—
952C2×C4⋊Q8—711no—
953C2×C4⋊Q8—711no—
954C2×C4⋊Q8—711no—
955C2×C4⋊Q8—711no—
956C2×C4⋊Q8—711no—
957C2×C4⋊Q8—711no—
958C2×C4⋊Q8—711no—
959C2×C4⋊Q8—711no—
960C2×C4⋊Q8—711no—
961C2×C4⋊Q8—711no—
962C2×C4⋊Q8—711no—
963C2×C4⋊Q8—711no—
964C2×C4⋊Q8—711no—
965C2×C4⋊Q8—711no—
966C2×C4⋊Q8C2×D7111yescharacteristic
967#529—7116no—
968C2×#126—711no—
969C2×#126—711no—
970C2×#126—711no—
971C2×#126—711no—
972C2×#126—711no—
973C2×#126—711no—
974C2×#126—711no—
975C2×#126—711no—
976C2×#126—711no—
977C2×#126—711no—
978C2×#126—711no—
979C2×#126—711no—
980C2×#126—711no—
981C2×#126—711no—
982C2×#126—711no—
983C2×#126—711no—
984C2×#126—711no—
985C2×#126—711no—
986C2×#126—711no—
987C2×#126—711no—
988C2×#126—711no—
989C2×#126—711no—
990C2×#126C2×D7111yescharacteristic
991C2×#126C2×D7111yescharacteristic
992C2×#126C2×D7111yescharacteristic
993C2×#126C2×D7111yescharacteristic
994C2×#125—711no—
995C2×#125—711no—
996C2×#125—711no—
997C2×#125—711no—
998C2×#125—711no—
999C2×#125—711no—
1000C2×#125—711no—
1001C2×#125—711no—
1002C2×#125—711no—
1003C2×#125—711no—
1004C2×#125—711no—
1005C2×#125—711no—
1006C2×#125—711no—
1007C2×#125—711no—
1008C2×#125—711no—
1009C2×#125—711no—
1010C2×#125—711no—
1011C2×#125—711no—
1012C2×#125—711no—
1013C2×#125—711no—
1014C2×#125—711no—
1015C2×#125—711no—
1016C2×#125—711no—
1017C2×#125—711no—
1018C2×#125C2×D7111yescharacteristic
1019C2×#125C2×D7111yescharacteristic
1020C2×#125C2×D7111yescharacteristic
1021C2×#125C2×D7111yescharacteristic
1022C2×#125C2×D7111yescharacteristic
1023C2×#124—711no—
1024C2×#124—711no—
1025C2×#124—711no—
1026C2×#124—711no—
1027C2×#124—711no—
1028C2×#124—711no—
1029C2×#124—711no—
1030C2×#123—711no—
1031C2×#123—711no—
1032C2×#123—711no—
1033C2×#123—711no—
1034C2×#123—711no—
1035C2×#123—711no—
1036C2×C22⋊Q8—711no—
1037C2×C22⋊Q8—711no—
1038C2×C22⋊Q8—711no—
1039C2×C22⋊Q8—711no—
1040C2×C22⋊Q8—711no—
1041C2×C22⋊Q8—711no—
1042C2×C22⋊Q8—711no—
1043C2×C22⋊Q8—711no—
1044C2×C22⋊Q8—711no—
1045C2×C22⋊Q8—711no—
1046C2×C22⋊Q8—711no—
1047C2×C22⋊Q8—711no—
1048C2×C22⋊Q8—711no—
1049C2×C22⋊Q8—711no—
1050C2×C22⋊Q8—711no—
1051C2×C22⋊Q8—711no—
1052C2×C22⋊Q8—711no—
1053C2×C22⋊Q8—711no—
1054C2×C22⋊Q8—711no—
1055C2×C22⋊Q8—711no—
1056C2×C22⋊Q8—711no—
1057C2×C22⋊Q8—711no—
1058C2×C22⋊Q8—711no—
1059C2×C22⋊Q8C2×D7111yescharacteristic
1060C2×C22⋊Q8C2×D7111yescharacteristic
1061C2×#121—711no—
1062C2×C4×Q8—711no—
1063C2×C4×Q8—711no—
1064C2×C4×Q8—711no—
1065C2×C4×Q8—711no—
1066C2×C4×Q8—711no—
1067C2×C4×Q8—711no—
1068C2×C4×Q8—711no—
1069C2×C4×Q8—711no—
1070C2×C4×Q8—711no—
1071C2×C4×Q8—711no—
1072C2×C4×Q8—711no—
1073C2×C4×Q8—711no—
1074C2×C4×Q8—711no—
1075C2×C4×Q8—711no—
1076C2×C4×Q8—711no—
1077C2×C4×Q8—711no—
1078C2×C4×Q8—711no—
1079C2×C4×Q8—711no—
1080C2×C4×Q8—711no—
1081C2×C4×Q8—711no—
1082C2×C4×Q8—711no—
1083C2×C4×Q8C2×D7111yescharacteristic
1084C2×C4×Q8C2×D7111yescharacteristic
1085C2×C4×D4—711no—
1086C2×C4×D4—711no—
1087C2×C4×D4—711no—
1088C2×C4×D4—711no—
1089C2×C4×D4—711no—
1090C2×#117—711no—
1091C2×#117—711no—
1092C2×#117—711no—
1093C2×#117—711no—
1094C2×#117—711no—
1095C2×#117—711no—
1096C2×#117—711no—
1097C2×#117—711no—
1098C2×#117—711no—
1099C2×#117—711no—
1100C2×#117—711no—
1101C2×#117C2×D7111yescharacteristic
1102C22×C4⋊C4—711no—
1103C22×C4⋊C4—711no—
1104C22×C42—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×Q8C22×D7111yescharacteristic
1117C22×Q8C22×D7111yescharacteristic
1118C22×D4—711no—
1119C22×D4—711no—
1120C22×D4—711no—
1121C23×C4—711no—
1122C23×C4—711no—
1123C23×C4—711no—
1124C23×C4—711no—
1125C23×C4—711no—
1126C23×C4—711no—
1127C23×C4—711no—
1128C23×C4—711no—
1129C23×C4C22×D7111yescharacteristic
1130C4⋊Q8—718no—
1131C4⋊Q8—718no—
1132C4⋊Q8—718no—
1133C4⋊Q8—718no—
1134C4⋊Q8—718no—
1135C4⋊Q8—718no—
1136C4⋊Q8—718no—
1137C4⋊Q8—718no—
1138C4⋊Q8—718no—
1139C4⋊Q8—718no—
1140C4⋊Q8—718no—
1141C4⋊Q8—718no—
1142C4⋊Q8—718no—
1143C4⋊Q8—718no—
1144C4⋊Q8—718no—
1145C4⋊Q8—718no—
1146C4⋊Q8—718no—
1147C4⋊Q8C22×D7118yes—
1148#126—718no—
1149#126—718no—
1150#126—718no—
1151#126—718no—
1152#126—718no—
1153#126—718no—
1154#126—718no—
1155#126—718no—
1156#126—718no—
1157#126—718no—
1158#126—718no—
1159#126—718no—
1160#126—718no—
1161#126—718no—
1162#126—718no—
1163#126—718no—
1164#126—718no—
1165#126—718no—
1166#126—718no—
1167#126—718no—
1168#126—718no—
1169#126—718no—
1170#126C22×D7118yes—
1171#126C22×D7118yes—
1172#126C22×D7118yes—
1173#126C22×D7118yes—
1174#125—718no—
1175#125—718no—
1176#125—718no—
1177#125—718no—
1178#125—718no—
1179#125—718no—
1180#125—718no—
1181#125—718no—
1182#125—718no—
1183#125—718no—
1184#125—718no—
1185#125—718no—
1186#125—718no—
1187#125—718no—
1188#125—718no—
1189#125—718no—
1190#125—718no—
1191#125—718no—
1192#125—718no—
1193#125—718no—
1194#125—718no—
1195#125—718no—
1196#125—718no—
1197#125—718no—
1198#125C22×D7118yes—
1199#125C22×D7118yes—
1200#125C22×D7118yes—
1201#125C22×D7118yes—
1202#125C22×D7118yes—
1203#124—718no—
1204#124—718no—
1205#124—718no—
1206#124—718no—
1207#124—718no—
1208#124—718no—
1209#124—718no—
1210#123—718no—
1211#123—718no—
1212#123—718no—
1213#123—718no—
1214#123—718no—
1215#123—718no—
1216C22⋊Q8—718no—
1217C22⋊Q8—718no—
1218C22⋊Q8—718no—
1219C22⋊Q8—718no—
1220C22⋊Q8—718no—
1221C22⋊Q8—718no—
1222C22⋊Q8—718no—
1223C22⋊Q8—718no—
1224C22⋊Q8—718no—
1225C22⋊Q8—718no—
1226C22⋊Q8—718no—
1227C22⋊Q8—718no—
1228C22⋊Q8—718no—
1229C22⋊Q8—718no—
1230C22⋊Q8—718no—
1231C22⋊Q8—718no—
1232C22⋊Q8—718no—
1233C22⋊Q8—718no—
1234C22⋊Q8—718no—
1235C22⋊Q8—718no—
1236C22⋊Q8—718no—
1237C22⋊Q8—718no—
1238C22⋊Q8—718no—
1239C22⋊Q8C22×D7118yes—
1240C22⋊Q8C22×D7118yes—
1241#121—718no—
1242C4×Q8—718no—
1243C4×Q8—718no—
1244C4×Q8—718no—
1245C4×Q8—718no—
1246C4×Q8—718no—
1247C4×Q8—718no—
1248C4×Q8—718no—
1249C4×Q8—718no—
1250C4×Q8—718no—
1251C4×Q8—718no—
1252C4×Q8—718no—
1253C4×Q8—718no—
1254C4×Q8—718no—
1255C4×Q8—718no—
1256C4×Q8—718no—
1257C4×Q8—718no—
1258C4×Q8—718no—
1259C4×Q8—718no—
1260C4×Q8—718no—
1261C4×Q8—718no—
1262C4×Q8—718no—
1263C4×Q8C22×D7118yes—
1264C4×Q8C22×D7118yes—
1265C4×D4—718no—
1266C4×D4—718no—
1267C4×D4—718no—
1268C4×D4—718no—
1269C4×D4—718no—
1270#117—718no—
1271#117—718no—
1272#117—718no—
1273#117—718no—
1274#117—718no—
1275#117—718no—
1276#117—718no—
1277#117—718no—
1278#117—718no—
1279#117—718no—
1280#117—718no—
1281#117C22×D7118yes—
1282C2×C4⋊C4—711no—
1283C2×C4⋊C4—711no—
1284C2×C4⋊C4—711no—
1285C2×C4⋊C4—711no—
1286C2×C4⋊C4—711no—
1287C2×C4⋊C4—711no—
1288C2×C4⋊C4—718no—
1289C2×C4⋊C4—711no—
1290C2×C4⋊C4—711no—
1291C2×C4⋊C4—711no—
1292C2×C4⋊C4—711no—
1293C2×C4⋊C4—711no—
1294C2×C4⋊C4—711no—
1295C2×C4⋊C4—711no—
1296C2×C4⋊C4—711no—
1297C2×C4⋊C4—711no—
1298C2×C4⋊C4—711no—
1299C2×C4⋊C4—711no—
1300C2×C4⋊C4—711no—
1301C2×C4⋊C4—711no—
1302C2×C4⋊C4—711no—
1303C2×C4⋊C4—711no—
1304C2×C4⋊C4—711no—
1305C2×C4⋊C4—711no—
1306C2×C4⋊C4—711no—
1307C2×C4⋊C4—711no—
1308C2×C4⋊C4—711no—
1309C2×C4⋊C4—711no—
1310C2×C4⋊C4—711no—
1311C2×C4⋊C4—711no—
1312C2×C4⋊C4—711no—
1313C2×C4⋊C4—711no—
1314C2×C4⋊C4—711no—
1315C2×C4⋊C4—711no—
1316C2×C4⋊C4—711no—
1317C2×C4⋊C4—711no—
1318C2×C4⋊C4—711no—
1319C2×C4⋊C4—711no—
1320C2×C4⋊C4—711no—
1321C2×C4⋊C4—711no—
1322C2×C4⋊C4—711no—
1323C2×C4⋊C4—711no—
1324C2×C4⋊C4—711no—
1325C2×C4⋊C4—711no—
1326C2×C4⋊C4—711no—
1327C2×C4⋊C4—711no—
1328C2×C4⋊C4—711no—
1329C2×C4⋊C4—711no—
1330C2×C4⋊C4—711no—
1331C2×C4⋊C4—711no—
1332C2×C4⋊C4—711no—
1333C2×C4⋊C4—711no—
1334C2×C4⋊C4—711no—
1335C2×C4⋊C4—711no—
1336C2×C4⋊C4—711no—
1337C2×C4⋊C4—718no—
1338C2×C4⋊C4C22×D7111yescharacteristic
1339C2×C4⋊C4C22×D7111yescharacteristic
1340C2×C4⋊C4C22×D7111yescharacteristic
1341C2×C4⋊C4C22×D7111yescharacteristic
1342C2×C4⋊C4C22×D7111yescharacteristic
1343C2×C4⋊C4C22×D7111yescharacteristic
1344C2×C4⋊C4C22×D7111yescharacteristic
1345C2×C4⋊C4C22×D7111yescharacteristic
1346C2×C4⋊C4C22×D7111yescharacteristic
1347C2×C4⋊C4C22×D7111yescharacteristic
1348C2×C4⋊C4C22×D7111yescharacteristic
1349C2×C4⋊C4C22×D7111yescharacteristic
1350C2×C4⋊C4C22×D7111yescharacteristic
1351C2×C4⋊C4C22×D7111yescharacteristic
1352C2×C4⋊C4C22×D7111yescharacteristic
1353C2×C4⋊C4C22×D7111yescharacteristic
1354C2×C4⋊C4C22×D7111yescharacteristic
1355C2×C4⋊C4C22×D7111yescharacteristic
1356C2×C4⋊C4C22×D7111yescharacteristic
1357C2×C4⋊C4C22×D7111yescharacteristic
1358C2×C22⋊C4—711no—
1359C2×C22⋊C4—711no—
1360C2×C22⋊C4—711no—
1361C2×C22⋊C4—711no—
1362C2×C22⋊C4—711no—
1363C2×C22⋊C4—711no—
1364C2×C22⋊C4—711no—
1365C2×C22⋊C4—711no—
1366C2×C22⋊C4—711no—
1367C2×C22⋊C4—711no—
1368C2×C22⋊C4—711no—
1369C2×C22⋊C4—711no—
1370C2×C22⋊C4—711no—
1371C2×C22⋊C4—711no—
1372C2×C22⋊C4—711no—
1373C2×C22⋊C4—711no—
1374C2×C22⋊C4—711no—
1375C2×C22⋊C4—711no—
1376C2×C22⋊C4—711no—
1377C2×C22⋊C4—711no—
1378C2×C22⋊C4—711no—
1379C2×C22⋊C4—711no—
1380C2×C22⋊C4—711no—
1381C2×C22⋊C4—711no—
1382C2×C22⋊C4C22×D7111yescharacteristic
1383C2×C22⋊C4C22×D7111yescharacteristic
1384C2×C22⋊C4C22×D7111yescharacteristic
1385C2×C22⋊C4C22×D7111yescharacteristic
1386C2×C22⋊C4C22×D7111yescharacteristic
1387C2×C22⋊C4C22×D7111yescharacteristic
1388C2×C42—711no—
1389C2×C42—711no—
1390C2×C42—711no—
1391C2×C42—711no—
1392C2×C42—711no—
1393C2×C42—711no—
1394C2×C42—711no—
1395C2×C42—711no—
1396C2×C42—711no—
1397C2×C42—711no—
1398C2×C42—711no—
1399C2×C42—711no—
1400C2×C42—711no—
1401C2×C42—711no—
1402C2×C42—711no—
1403C2×C42—711no—
1404C2×C42—711no—
1405C2×C42—711no—
1406C2×C42—711no—
1407C2×C42—711no—
1408C2×C42—718no—
1409C2×C42C22×D7111yescharacteristic
1410C2×C42C22×D7111yescharacteristic
1411C2×C42C22×D7111yescharacteristic
1412C2×C42C22×D7111yescharacteristic
1413C2×C42C22×D7111yescharacteristic
1414C2×C42C22×D7111yescharacteristic
1415C24—711no—
1416C24—711no—
1417C24C23×D7111yescharacteristic
1418C2×Q8—42no—
1419C2×Q8—42no—
1420C2×Q8—2842no—
1421C2×Q8—2842no—
1422C2×Q8—2842no—
1423C2×Q8—2842no—
1424C2×Q8—2842no—
1425C2×Q8—2842no—
1426C2×Q8—714no—
1427C2×Q8—714no—
1428C2×Q8—714no—
1429C2×Q8—714no—
1430C2×Q8—714no—
1431C2×Q8—714no—
1432C2×Q8—714no—
1433C2×Q8—714no—
1434C2×Q8—714no—
1435C2×Q8—714no—
1436C2×Q8—714no—
1437C2×Q8—1424no—
1438C2×Q8—1424no—
1439C2×Q8—1424no—
1440C2×Q8—1424no—
1441C2×Q8—1424no—
1442C2×Q8C23×D7114yes—
1443C2×Q8C23×D7114yes—
1444C2×D4—2842no—
1445C2×D4—2842no—
1446C2×D4—714no—
1447C2×D4—714no—
1448C2×D4—714no—
1449C2×D4—1424no—
1450C22×C4—42no—
1451C22×C4—2842no—
1452C22×C4—2842no—
1453C22×C4—2842no—
1454C22×C4—2842no—
1455C22×C4—714no—
1456C22×C4—714no—
1457C22×C4—714no—
1458C22×C4—714no—
1459C22×C4—711no—
1460C22×C4—711no—
1461C22×C4—714no—
1462C22×C4—711no—
1463C22×C4—711no—
1464C22×C4—711no—
1465C22×C4—711no—
1466C22×C4—711no—
1467C22×C4—711no—
1468C22×C4—711no—
1469C22×C4—711no—
1470C22×C4—711no—
1471C22×C4—711no—
1472C22×C4—711no—
1473C22×C4—711no—
1474C22×C4—714no—
1475C22×C4—714no—
1476C22×C4—714no—
1477C22×C4—1424no—
1478C22×C4—1424no—
1479C22×C4—1424no—
1480C22×C4—1424no—
1481C22×C4C23×D7111yescharacteristic
1482C22×C4C23×D7111yescharacteristic
1483C22×C4C23×D7111yescharacteristic
1484C22×C4C23×D7111yescharacteristic
1485C22×C4C23×D7111yescharacteristic
1486C22×C4C23×D7111yescharacteristic
1487C22×C4C23×D7111yescharacteristic
1488C22×C4C23×D7111yescharacteristic
1489C22×C4C23×D7111yescharacteristic
1490C22×C4C23×D7111yescharacteristic
1491C22×C4C23×D7111yescharacteristic
1492C22×C4C23×D7111yescharacteristic
1493C22×C4C23×D7111yescharacteristic
1494C22×C4C23×D7111yescharacteristic
1495C22×C4C23×D7114yes—
1496C4⋊C4—714no—
1497C4⋊C4—714no—
1498C4⋊C4—714no—
1499C4⋊C4—714no—
1500C4⋊C4—714no—
1501C4⋊C4—714no—
1502C4⋊C4—714no—
1503C4⋊C4—714no—
1504C4⋊C4—714no—
1505C4⋊C4—714no—
1506C4⋊C4—714no—
1507C4⋊C4—714no—
1508C4⋊C4—714no—
1509C4⋊C4—714no—
1510C4⋊C4—714no—
1511C4⋊C4—714no—
1512C4⋊C4—714no—
1513C4⋊C4—714no—
1514C4⋊C4—714no—
1515C4⋊C4—714no—
1516C4⋊C4—714no—
1517C4⋊C4—714no—
1518C4⋊C4—714no—
1519C4⋊C4—714no—
1520C4⋊C4—714no—
1521C4⋊C4—714no—
1522C4⋊C4—714no—
1523C4⋊C4—714no—
1524C4⋊C4—714no—
1525C4⋊C4—714no—
1526C4⋊C4—714no—
1527C4⋊C4—714no—
1528C4⋊C4—714no—
1529C4⋊C4—714no—
1530C4⋊C4—714no—
1531C4⋊C4—714no—
1532C4⋊C4—714no—
1533C4⋊C4—714no—
1534C4⋊C4—714no—
1535C4⋊C4—714no—
1536C4⋊C4—714no—
1537C4⋊C4—714no—
1538C4⋊C4—714no—
1539C4⋊C4—714no—
1540C4⋊C4—714no—
1541C4⋊C4—714no—
1542C4⋊C4—714no—
1543C4⋊C4—714no—
1544C4⋊C4—714no—
1545C4⋊C4—714no—
1546C4⋊C4—714no—
1547C4⋊C4—714no—
1548C4⋊C4—714no—
1549C4⋊C4—714no—
1550C4⋊C4C23×D7114yes—
1551C4⋊C4C23×D7114yes—
1552C4⋊C4C23×D7114yes—
1553C4⋊C4C23×D7114yes—
1554C4⋊C4C23×D7114yes—
1555C4⋊C4C23×D7114yes—
1556C4⋊C4C23×D7114yes—
1557C4⋊C4C23×D7114yes—
1558C4⋊C4C23×D7114yes—
1559C4⋊C4C23×D7114yes—
1560C4⋊C4C23×D7114yes—
1561C4⋊C4C23×D7114yes—
1562C4⋊C4C23×D7114yes—
1563C4⋊C4C23×D7114yes—
1564C4⋊C4C23×D7114yes—
1565C4⋊C4C23×D7114yes—
1566C4⋊C4C23×D7114yes—
1567C4⋊C4C23×D7114yes—
1568C4⋊C4C23×D7114yes—
1569C4⋊C4C23×D7114yes—
1570C22⋊C4—714no—
1571C22⋊C4—714no—
1572C22⋊C4—714no—
1573C22⋊C4—714no—
1574C22⋊C4—714no—
1575C22⋊C4—714no—
1576C22⋊C4—714no—
1577C22⋊C4—714no—
1578C22⋊C4—714no—
1579C22⋊C4—714no—
1580C22⋊C4—714no—
1581C22⋊C4—714no—
1582C22⋊C4—714no—
1583C22⋊C4—714no—
1584C22⋊C4—714no—
1585C22⋊C4—714no—
1586C22⋊C4—714no—
1587C22⋊C4—714no—
1588C22⋊C4—714no—
1589C22⋊C4—714no—
1590C22⋊C4—714no—
1591C22⋊C4—714no—
1592C22⋊C4—714no—
1593C22⋊C4—714no—
1594C22⋊C4C23×D7114yes—
1595C22⋊C4C23×D7114yes—
1596C22⋊C4C23×D7114yes—
1597C22⋊C4C23×D7114yes—
1598C22⋊C4C23×D7114yes—
1599C22⋊C4C23×D7114yes—
1600C42—714no—
1601C42—714no—
1602C42—714no—
1603C42—714no—
1604C42—714no—
1605C42—714no—
1606C42—714no—
1607C42—714no—
1608C42—714no—
1609C42—714no—
1610C42—714no—
1611C42—714no—
1612C42—714no—
1613C42—714no—
1614C42—714no—
1615C42—714no—
1616C42—714no—
1617C42—714no—
1618C42—714no—
1619C42—714no—
1620C42C23×D7114yes—
1621C42C23×D7114yes—
1622C42C23×D7114yes—
1623C42C23×D7114yes—
1624C42C23×D7114yes—
1625C42C23×D7114yes—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—712no—
1630C23—712no—
1631C23—1422no—
1632C23—1422no—
1633C23—1422no—
1634C23—1422no—
1635C23—1422no—
1636C23—1422no—
1637C23C24×D7112yes—
1638C23C24×D7111yescharacteristic
1639Q8—44no—
1640Q8—44no—
1641Q8—2844no—
1642Q8—2844no—
1643Q8—2844no—
1644Q8—2844no—
1645Q8—2844no—
1646Q8—2844no—
1647Q8—1428no—
1648Q8—1428no—
1649Q8—1428no—
1650Q8—1428no—
1651Q8—1428no—
1652D4—2844no—
1653D4—2844no—
1654D4—1428no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—44no—
1670C2×C4—2844no—
1671C2×C4—2844no—
1672C2×C4—2844no—
1673C2×C4—2844no—
1674C2×C4—714no—
1675C2×C4—714no—
1676C2×C4—712no—
1677C2×C4—712no—
1678C2×C4—712no—
1679C2×C4—712no—
1680C2×C4—712no—
1681C2×C4—712no—
1682C2×C4—712no—
1683C2×C4—712no—
1684C2×C4—712no—
1685C2×C4—712no—
1686C2×C4—712no—
1687C2×C4—712no—
1688C2×C4—712no—
1689C2×C4—712no—
1690C2×C4—1428no—
1691C2×C4—1428no—
1692C2×C4—1428no—
1693C2×C4—1428no—
1694C2×C4—1422no—
1695C2×C4—1422no—
1696C2×C4—1422no—
1697C2×C4—1422no—
1698C2×C4—1422no—
1699C2×C4—1422no—
1700C2×C4—1422no—
1701C2×C4—1422no—
1702C2×C4—1422no—
1703C2×C4—1422no—
1704C2×C4—1422no—
1705C2×C4—1422no—
1706C2×C4C24×D7112yes—
1707C2×C4C24×D7112yes—
1708C2×C4C24×D7112yes—
1709C2×C4C24×D7112yes—
1710C2×C4C24×D7112yes—
1711C2×C4C24×D7112yes—
1712C2×C4C24×D7112yes—
1713C2×C4C24×D7112yes—
1714C2×C4C24×D7112yes—
1715C2×C4C24×D7112yes—
1716C2×C4C24×D7112yes—
1717C2×C4C24×D7112yes—
1718C2×C4C24×D7112yes—
1719C2×C4C24×D7112yes—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—44no—
1724C22—2844no—
1725C22—2844no—
1726C22—1422no—
1727C22—1422no—
1728C22—1422no—
1729C22—1422no—
1730C22—1422no—
1731C22—1422no—
1732C222−1+4×D7112yes—
1733C222−1+4×D7112yes—
1734C22#1798683512yes—
1735C22C25×D7111yescharacteristic
1736C4—22no—
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—22no—
1742C4—22no—
1743C4—22no—
1744C4—22no—
1745C4—22no—
1746C4—22no—
1747C4—22no—
1748C4—22no—
1749C4—22no—
1750C4—714no—
1751C4—714no—
1752C4—1422no—
1753C4—1422no—
1754C4—1422no—
1755C4—1422no—
1756C4—1422no—
1757C4—1422no—
1758C4—1422no—
1759C4—1422no—
1760C4—1422no—
1761C4—1422no—
1762C4—1422no—
1763C4—1422no—
1764C2—42no—
1765C2—2842no—
1766C2—2842no—
1767C2#2260282114yesdirect product factor
1768C2C2×2−1+4×D7111yescharacteristic
1769C2C2×2−1+4×D7111yescharacteristic
1770C2C2×#1798683511yescharacteristic
subgroupG/H
centerC23C24×D71
commutator, cosocleC22×C71C26
FrattiniC22C25×D71
FittingC2×#541×C71C2
socleC23×C71C25
prime radicalC2×#14556101C22
hypercenterC2×#541D71
hypocenterC71C2×#3555
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. #22602821C2direct (N × H)
2. C2×#17986753C2semidirect
3. C2×#17986751C2semidirect
4. C2×#17986750C2semidirect
5. C2×#17986748C2semidirect
6. C2×#17986729C2semidirect
7. C2×#17986727C2semidirect
8. C2×#17986726C2semidirect
9. C2×#17986726C2semidirect
10. C2×#17986721C2semidirect
11. C2×#17986717C2semidirect
12. C2×#17986716C2semidirect
13. C2×#17986716C2semidirect
14. C2×#17986716C2semidirect
15. C2×#17986703C2semidirect
16. C2×#17986682C2semidirect
17. C2×#17986681C2semidirect
18. C2×#17986629C2semidirect
19. C2×#17986628C2semidirect
22. C2×#17986608C2semidirect
23. C2×#17986608C2semidirect
24. C2×#17986608C2semidirect
25. C2×#17986608C2semidirect
26. C2×#17986607C2semidirect
27. C2×#17986606C2semidirect
28. C2×#17986606C2semidirect
29. C2×#17986555C2semidirect
30. C2×#17986553C2semidirect
32. C2×#541×C71C2semidirect
33. #17986753C22semidirect
34. #17986751C22semidirect
35. #17986750C22semidirect
36. #17986748C22semidirect
37. #17986729C22semidirect
38. #17986727C22semidirect
39. #17986726C22semidirect
40. #17986726C22semidirect
41. #17986721C22semidirect
42. #17986717C22semidirect
43. #17986716C22semidirect
44. #17986716C22semidirect
45. #17986716C22semidirect
46. #17986703C22semidirect
47. #17986682C22semidirect
48. #17986681C22semidirect
49. #17986629C22semidirect
50. #17986628C22semidirect
53. #17986608C22semidirect
54. #17986608C22semidirect
55. #17986608C22semidirect
56. #17986608C22semidirect
57. #17986607C22semidirect
58. #17986606C22semidirect
59. #17986606C22semidirect
60. #17986555C22semidirect
61. #17986553C22semidirect
203. #541×C71C22semidirect
880. C2×C71#3555semidirect
914. C2×#541D71semidirect
918. C71C2×#3555semidirect
946. #541C2×D71semidirect
1767. C2#22602821direct (N × H)

Maximal subgroups

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

subgroupindex
#226028212
C2×#179867532
C2×#179867512
C2×#179867502
C2×#179867482
C2×#179867292
C2×#179867272
C2×#179867262
C2×#179867212
C2×#179867172
C2×#179867162
C2×#179867032
C2×#179866822
C2×#179866812
C2×#179866292
C2×#179866282
C2×#179866192
C2×#179866152
C2×#179866082
C2×#179866072
C2×#179866062
C2×#179865552
C2×#179865532
C2×#179865322
C2×#541×C712
C2×#355571