Finite Group Databasebeta

← C2×#20258032 #27123786

Subgroups — C2×#20258032 #27123786

Order 12032.

6554 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20258032C2132yesmaximal, direct product factor
2C2×#15689876C211yesmaximal, characteristic, complemented
3C2×#15689875C211yesmaximal, characteristic, complemented
4C2×#15689870C211yesmaximal, characteristic, complemented
5C2×#15689868C211yesmaximal, characteristic, complemented
6C2×#15689850C211yesmaximal, characteristic, complemented
7C2×#15689843C211yesmaximal, characteristic, complemented
8C2×#15689840C211yesmaximal, characteristic, complemented
9C2×#15689840C211yesmaximal, characteristic, complemented
10C2×#15689837C211yesmaximal, characteristic, complemented
11C2×#15689828C211yesmaximal, characteristic, complemented
12C2×#15689822C211yesmaximal, characteristic, complemented
13C2×#15689818C211yesmaximal, characteristic, complemented
14C2×#15689810C211yesmaximal, characteristic, complemented
15C2×#15689809C211yesmaximal, characteristic, complemented
16C2×#15689808C211yesmaximal, characteristic, complemented
17C2×#15689805C211yesmaximal, characteristic, complemented
18C2×#15689753C211yesmaximal, characteristic, complemented
19C2×#15689752C211yesmaximal, characteristic, complemented
20C2×#15689746C211yesmaximal, characteristic, complemented
21C2×#15689743C211yesmaximal, characteristic, complemented
22C2×#15689743C211yesmaximal, characteristic, complemented
23C2×#15689741C211yesmaximal, characteristic, complemented
24C2×#15689741C211yesmaximal, characteristic, complemented
25C2×#15689738C211yesmaximal, characteristic, complemented
26C2×#15689733C211yesmaximal, characteristic, complemented
27C2×#15689732C211yesmaximal, characteristic, complemented
28C2×#15689716C211yesmaximal, characteristic, complemented
29C2×#15689675C211yesmaximal, characteristic, complemented
30C2×#15689653C211yesmaximal, characteristic, complemented
31C2×#15689650C211yesmaximal, characteristic, complemented
32C2×C47×#539C211yesmaximal, characteristic, complemented
33#15689876C22116yescomplemented
34#15689875C22116yescomplemented
35#15689870C22116yescomplemented
36#15689868C22116yescomplemented
37#15689850C22116yescomplemented
38#15689843C22116yescomplemented
39#15689840C22116yescomplemented
40#15689840C22116yescomplemented
41#15689837C22116yescomplemented
42#15689828C22116yescomplemented
43#15689822C22116yescomplemented
44#15689818C22116yescomplemented
45#15689810C22116yescomplemented
46#15689809C22116yescomplemented
47#15689808C22116yescomplemented
48#15689805C22116yescomplemented
49#15689753C22116yescomplemented
50#15689752C22116yescomplemented
51#15689746C22116yescomplemented
52#15689743C22116yescomplemented
53#15689743C22116yescomplemented
54#15689741C22116yescomplemented
55#15689741C22116yescomplemented
56#15689738C22116yescomplemented
57#15689733C22116yescomplemented
58#15689732C22116yescomplemented
59#15689716C22116yescomplemented
60#15689675C22116yescomplemented
61C2×#13094024C2211yescharacteristic
62C2×#13094023C2211yescharacteristic
63C2×#13094023C2211yescharacteristic
64C2×#13094023C2211yescharacteristic
65C2×#13094023C2211yescharacteristic
66C2×#13094023C2211yescharacteristic
67C2×#13094023C2211yescharacteristic
68C2×#13094023C2211yescharacteristic
69C2×#13094022C2211yescharacteristic
70C2×#13094022C2211yescharacteristic
71#15689653C22116yescomplemented
72#15689650C22116yescomplemented
73C2×#13094019C2211yescharacteristic
74C2×#13094019C2211yescharacteristic
75C2×#13094019C2211yescharacteristic
76C2×#13094019C2211yescharacteristic
77C2×#13094019C2211yescharacteristic
78C2×#13094019C2211yescharacteristic
79C2×#13094019C2211yescharacteristic
80C2×#13094018C2211yescharacteristic
81C2×#13094017C2211yescharacteristic
82C2×#13094017C2211yescharacteristic
83C2×#13094017C2211yescharacteristic
84C2×#13094017C2211yescharacteristic
85C2×#13094017C2211yescharacteristic
86C2×#13094017C2211yescharacteristic
87C2×#13094017C2211yescharacteristic
88C2×#13094017C2211yescharacteristic
89C2×#13094017C2211yescharacteristic
90C2×#13094017C2211yescharacteristic
91C2×#13094015C2211yescharacteristic
92C2×#13094015C2211yescharacteristic
93C2×#13094015C2211yescharacteristic
94C2×#13094015C2211yescharacteristic
95C2×#13094014C2211yescharacteristic
96C2×#13094014C2211yescharacteristic
97C2×#13094014C2211yescharacteristic
98C2×#13094014C2211yescharacteristic
99C2×#13094014C2211yescharacteristic
100C2×#13094014C2211yescharacteristic
101C2×#13094014C2211yescharacteristic
102C2×#13094014C2211yescharacteristic
103C2×#13094014C2211yescharacteristic
104C2×#13094014C2211yescharacteristic
105C2×#13094014C2211yescharacteristic
106C2×#13094014C2211yescharacteristic
107C2×#13094013C2211yescharacteristic
108C2×#13094011C2211yescharacteristic
109C2×#13094011C2211yescharacteristic
110C2×#13094011C2211yescharacteristic
111C2×#13094010C2211yescharacteristic
112C2×#13094010C2211yescharacteristic
113C2×#13094010C2211yescharacteristic
114C2×#13094010C2211yescharacteristic
115C2×#13094010C2211yescharacteristic
116C2×#13094010C2211yescharacteristic
117C2×#13094010C2211yescharacteristic
118C2×#13094010C2211yescharacteristic
119C2×#13094009C2211yescharacteristic
120C2×#13094009C2211yescharacteristic
121C2×#13094008C2211yescharacteristic
122C2×#13094007C2211yescharacteristic
123C2×#13094007C2211yescharacteristic
124C2×#13094007C2211yescharacteristic
125C2×#13094006C2211yescharacteristic
126C2×#13094006C2211yescharacteristic
127C2×#13094006C2211yescharacteristic
128C2×#13094006C2211yescharacteristic
129C2×#13094005C2211yescharacteristic
130C2×#13094005C2211yescharacteristic
131C2×#13094004C2211yescharacteristic
132C2×#13094004C2211yescharacteristic
133C2×#13094004C2211yescharacteristic
134C2×#13094003C2211yescharacteristic
135C2×#13094003C2211yescharacteristic
136C2×#13094003C2211yescharacteristic
137C2×#13094003C2211yescharacteristic
138C2×#13094003C2211yescharacteristic
139C2×#13094003C2211yescharacteristic
140C2×#13094002C2211yescharacteristic
141C2×#13094002C2211yescharacteristic
142C2×#13094002C2211yescharacteristic
143C2×#13094002C2211yescharacteristic
144C2×#13094002C2211yescharacteristic
145C2×#13094002C2211yescharacteristic
146C2×#13094002C2211yescharacteristic
147C2×#13094001C2211yescharacteristic
148C2×#13094001C2211yescharacteristic
149C2×#13094001C2211yescharacteristic
150C2×#13094001C2211yescharacteristic
151C2×#13094001C2211yescharacteristic
152C2×#13094001C2211yescharacteristic
153C2×#13094001C2211yescharacteristic
154C2×#13093998C2211yescharacteristic
155C2×#13093997C2211yescharacteristic
156C2×#13093997C2211yescharacteristic
157C2×#13093996C2211yescharacteristic
158C2×#13093996C2211yescharacteristic
159C2×#13093996C2211yescharacteristic
160C2×#13093996C2211yescharacteristic
161C2×#13093995C2211yescharacteristic
162C2×#13093995C2211yescharacteristic
163C2×Q8×Dic47C2211yescharacteristic
164C2×C4×Dic94C2211yescharacteristic
165C2×C4×Dic94C2211yescharacteristic
166C2×C4×Dic94C2211yescharacteristic
167C2×#13093989C2211yescharacteristic
168C2×#13093989C2211yescharacteristic
169C2×#13093989C2211yescharacteristic
170C2×#13093989C2211yescharacteristic
171C2×#13093989C2211yescharacteristic
172C2×#13093989C2211yescharacteristic
173C2×#13093989C2211yescharacteristic
174C2×#13093989C2211yescharacteristic
175C2×D4×Dic47C2211yescharacteristic
176C2×#13093986C2211yescharacteristic
177C2×C4×C22⋊D47C2211yescharacteristic
178C2×C4×C22⋊D47C2211yescharacteristic
179C2×C4×C22⋊D47C2211yescharacteristic
180C2×C4×C22⋊D47C2211yescharacteristic
181C2×C4×C22⋊D47C2211yescharacteristic
182C2×(C22⋊D47)⋊C4C2211yescharacteristic
183C2×(C22⋊D47)⋊C4C2211yescharacteristic
184C2×(C22⋊D47)⋊C4C2211yescharacteristic
185C2×#13093983C2211yescharacteristic
186C2×#13093983C2211yescharacteristic
187C2×#13093983C2211yescharacteristic
188C2×#13093982C2211yescharacteristic
189C2×#13093982C2211yescharacteristic
190C2×#13093982C2211yescharacteristic
191C2×#13093981C2211yescharacteristic
192C2×#13093981C2211yescharacteristic
193C2×#13093981C2211yescharacteristic
194C2×#13093980C2211yescharacteristic
195C2×#13093980C2211yescharacteristic
196C2×#13093980C2211yescharacteristic
197C2×#13093980C2211yescharacteristic
198C2×#13093980C2211yescharacteristic
199C22×Dic47⋊C4C2211yescharacteristic
200C2×C4⋊C4×D47C2211yescharacteristic
201C2×C4⋊C4×D47C2211yescharacteristic
202C22×C4×Dic47C2211yescharacteristic
203C47×#539C22116yescomplemented
204C2×#126×C47C2211yescharacteristic
205C2×#126×C47C2211yescharacteristic
206C2×#125×C47C2211yescharacteristic
207C2×#125×C47C2211yescharacteristic
208C2×#123×C47C2211yescharacteristic
209C2×#123×C47C2211yescharacteristic
210C2×#123×C47C2211yescharacteristic
211C2×#123×C47C2211yescharacteristic
212C2×C22⋊Q8×C47C2211yescharacteristic
213C2×C22⋊Q8×C47C2211yescharacteristic
214C2×C22⋊Q8×C47C2211yescharacteristic
215C2×#121×C47C2211yescharacteristic
216C2×C4×D4×C47C2211yescharacteristic
217C2×C4×D4×C47C2211yescharacteristic
218C22×C4⋊C4×C47C2211yescharacteristic
219C22×Dic94C2311yescharacteristic
220C22×Dic94C2311yescharacteristic
221C22×Dic94C2311yescharacteristic
222C22×Dic94C2311yescharacteristic
223C22×Dic94C2311yescharacteristic
224C22×Dic94C2311yescharacteristic
225C22×Dic94C2311yescharacteristic
226C22×Dic94C2311yescharacteristic
227C22×Dic94C2311yescharacteristic
228C22×D188C2311yescharacteristic
229C22×C22⋊D47C2311yescharacteristic
230C22×C22⋊D47C2311yescharacteristic
231C22×C22⋊D47C2311yescharacteristic
232C22×C22⋊D47C2311yescharacteristic
233C22×C22⋊D47C2311yescharacteristic
234C22×C22⋊D47C2311yescharacteristic
235C23×Dic47C2311yescharacteristic
236C23×Dic47C2311yescharacteristic
237C23×Dic47C2311yescharacteristic
238C23×Dic47C2311yescharacteristic
239C22×C4×D47C2311yescharacteristic
240C22×C4×D47C2311yescharacteristic
241C22×C4×D47C2311yescharacteristic
242C22×C4×D47C2311yescharacteristic
243C22×C4×D47C2311yescharacteristic
244C22×C4×D47C2311yescharacteristic
245#13094024C2318yes—
246#13094023C2318yes—
247#13094023C2318yes—
248#13094023C2318yes—
249#13094023C2318yes—
250#13094023C2318yes—
251#13094023C2318yes—
252#13094023C2318yes—
253#13094022C2318yes—
254#13094022C2318yes—
255#13094019C2318yes—
256#13094019C2318yes—
257#13094019C2318yes—
258#13094019C2318yes—
259#13094019C2318yes—
260#13094019C2318yes—
261#13094019C2318yes—
262#13094018C2318yes—
263#13094017C2318yes—
264#13094017C2318yes—
265#13094017C2318yes—
266#13094017C2318yes—
267#13094017C2318yes—
268#13094017C2318yes—
269#13094017C2318yes—
270#13094017C2318yes—
271#13094017C2318yes—
272#13094017C2318yes—
273#13094015C2318yes—
274#13094015C2318yes—
275#13094015C2318yes—
276#13094015C2318yes—
277#13094014C2318yes—
278#13094014C2318yes—
279#13094014C2318yes—
280#13094014C2318yes—
281#13094014C2318yes—
282#13094014C2318yes—
283#13094014C2318yes—
284#13094014C2318yes—
285#13094014C2318yes—
286#13094014C2318yes—
287#13094014C2318yes—
288#13094014C2318yes—
289#13094013C2318yes—
290#13094011C2318yes—
291#13094011C2318yes—
292#13094011C2318yes—
293#13094010C2318yes—
294#13094010C2318yes—
295#13094010C2318yes—
296#13094010C2318yes—
297#13094010C2318yes—
298#13094010C2318yes—
299#13094010C2318yes—
300#13094010C2318yes—
301#13094009C2318yes—
302#13094009C2318yes—
303#13094008C2318yes—
304#13094007C2318yes—
305#13094007C2318yes—
306#13094007C2318yes—
307#13094006C2318yes—
308#13094006C2318yes—
309#13094006C2318yes—
310#13094006C2318yes—
311#13094005C2318yes—
312#13094005C2318yes—
313#13094004C2318yes—
314#13094004C2318yes—
315#13094004C2318yes—
316#13094003C2318yes—
317#13094003C2318yes—
318#13094003C2318yes—
319#13094003C2318yes—
320#13094003C2318yes—
321#13094003C2318yes—
322#13094002C2318yes—
323#13094002C2318yes—
324#13094002C2318yes—
325#13094002C2318yes—
326#13094002C2318yes—
327#13094002C2318yes—
328#13094002C2318yes—
329#13094001C2318yes—
330#13094001C2318yes—
331#13094001C2318yes—
332#13094001C2318yes—
333#13094001C2318yes—
334#13094001C2318yes—
335#13094001C2318yes—
336#13093998C2318yes—
337#13093997C2318yes—
338#13093997C2318yes—
339#13093996C2318yes—
340#13093996C2318yes—
341#13093996C2318yes—
342#13093996C2318yes—
343#13093995C2318yes—
344#13093995C2318yes—
345Q8×Dic47C2318yes—
346C4×Dic94C2318yes—
347C4×Dic94C2318yes—
348C4×Dic94C2318yes—
349#13093989C2318yes—
350#13093989C2318yes—
351#13093989C2318yes—
352#13093989C2318yes—
353#13093989C2318yes—
354#13093989C2318yes—
355#13093989C2318yes—
356#13093989C2318yes—
357D4×Dic47C2318yes—
358#13093986C2318yes—
359C4×C22⋊D47C2318yes—
360C4×C22⋊D47C2318yes—
361C4×C22⋊D47C2318yes—
362C4×C22⋊D47C2318yes—
363C4×C22⋊D47C2318yes—
364(C22⋊D47)⋊C4C2318yes—
365(C22⋊D47)⋊C4C2318yes—
366(C22⋊D47)⋊C4C2318yes—
367#13093983C2318yes—
368#13093983C2318yes—
369#13093983C2318yes—
370#13093982C2318yes—
371#13093982C2318yes—
372#13093982C2318yes—
373#13093981C2318yes—
374#13093981C2318yes—
375#13093981C2318yes—
376#13093980C2318yes—
377#13093980C2318yes—
378#13093980C2318yes—
379#13093980C2318yes—
380#13093980C2318yes—
381C2×C4⋊Dic47C2311yescharacteristic
382C2×C4⋊Dic47C2311yescharacteristic
383C2×C4⋊Dic47C2311yescharacteristic
384C2×C4⋊Dic47C2311yescharacteristic
385C2×C4⋊Dic47C2311yescharacteristic
386C2×C4⋊Dic47C2311yescharacteristic
387C2×C4⋊Dic47C2311yescharacteristic
388C2×C4⋊Dic47C2311yescharacteristic
389C2×C4⋊Dic47C2311yescharacteristic
390C2×C4⋊Dic47C2311yescharacteristic
391C2×C4⋊Dic47C2311yescharacteristic
392C2×C4⋊Dic47C2311yescharacteristic
393C2×C4⋊Dic47C2311yescharacteristic
394C2×C4⋊Dic47C2311yescharacteristic
395C2×Dic47⋊C4C2318yes—
396C2×Dic47⋊C4C2311yescharacteristic
397C2×Dic47⋊C4C2311yescharacteristic
398C2×Dic47⋊C4C2311yescharacteristic
399C2×Dic47⋊C4C2311yescharacteristic
400C2×Dic47⋊C4C2311yescharacteristic
401C2×Dic47⋊C4C2311yescharacteristic
402C2×Dic47⋊C4C2311yescharacteristic
403C2×Dic47⋊C4C2311yescharacteristic
404C2×Dic47⋊C4C2311yescharacteristic
405C2×Dic47⋊C4C2311yescharacteristic
406C2×Dic47⋊C4C2311yescharacteristic
407C2×Dic47⋊C4C2311yescharacteristic
408C2×Dic47⋊C4C2311yescharacteristic
409C2×Dic47⋊C4C2311yescharacteristic
410C2×Dic47⋊C4C2311yescharacteristic
411C2×Dic47⋊C4C2311yescharacteristic
412C2×Dic47⋊C4C2311yescharacteristic
413C2×Dic47⋊C4C2311yescharacteristic
414C2×Dic47⋊C4C2311yescharacteristic
415C2×Dic47⋊C4C2311yescharacteristic
416C2×Dic47⋊C4C2311yescharacteristic
417C2×Dic47⋊C4C2311yescharacteristic
418C2×Dic47⋊C4C2311yescharacteristic
419C2×Dic47⋊C4C2311yescharacteristic
420C2×Dic47⋊C4C2311yescharacteristic
421C2×Dic47⋊C4C2311yescharacteristic
422C2×Dic47⋊C4C2311yescharacteristic
423C2×Dic47⋊C4C2311yescharacteristic
424C2×Dic47⋊C4C2311yescharacteristic
425C2×Dic47⋊C4C2311yescharacteristic
426C2×Dic47⋊C4C2311yescharacteristic
427C2×Dic47⋊C4C2311yescharacteristic
428C4⋊C4×D47C2318yes—
429C4⋊C4×D47C2318yes—
430C2×C22⋊Dic47C2311yescharacteristic
431C2×C22⋊Dic47C2311yescharacteristic
432C2×C22⋊Dic47C2311yescharacteristic
433C2×C22⋊Dic47C2311yescharacteristic
434C2×C22⋊Dic47C2311yescharacteristic
435C2×C22⋊Dic47C2311yescharacteristic
436C2×C22⋊Dic47C2311yescharacteristic
437C2×C22⋊Dic47C2311yescharacteristic
438C2×C22⋊Dic47C2311yescharacteristic
439C2×C22⋊Dic47C2311yescharacteristic
440C2×C22⋊Dic47C2311yescharacteristic
441C2×C22⋊Dic47C2311yescharacteristic
442C2×C22⋊Dic47C2311yescharacteristic
443C2×C22⋊Dic47C2311yescharacteristic
444C2×(C2×D47)⋊C4C2311yescharacteristic
445C2×(C2×D47)⋊C4C2311yescharacteristic
446C2×(C2×D47)⋊C4C2311yescharacteristic
447C2×(C2×D47)⋊C4C2311yescharacteristic
448C2×(C2×D47)⋊C4C2311yescharacteristic
449C2×(C2×D47)⋊C4C2311yescharacteristic
450C2×(C2×D47)⋊C4C2311yescharacteristic
451C2×(C2×D47)⋊C4C2311yescharacteristic
452C2×(C2×D47)⋊C4C2311yescharacteristic
453C2×(C2×D47)⋊C4C2311yescharacteristic
454C2×(C2×D47)⋊C4C2311yescharacteristic
455C2×(C2×D47)⋊C4C2311yescharacteristic
456C2×(C2×D47)⋊C4C2311yescharacteristic
457C2×(C2×D47)⋊C4C2311yescharacteristic
458C2×(C2×D47)⋊C4C2311yescharacteristic
459C2×(C2×D47)⋊C4C2311yescharacteristic
460C2×C4×Dic47C2311yescharacteristic
461C2×C4×Dic47C2311yescharacteristic
462C2×C4×Dic47C2311yescharacteristic
463C2×C4×Dic47C2311yescharacteristic
464C2×C4×Dic47C2318yes—
465C2×C4×Dic47C2311yescharacteristic
466C2×C4×Dic47C2311yescharacteristic
467C2×C4×Dic47C2311yescharacteristic
468C2×C4×Dic47C2311yescharacteristic
469C2×C4×Dic47C2311yescharacteristic
470C2×C4×Dic47C2311yescharacteristic
471C2×C4×Dic47C2311yescharacteristic
472C2×C4×Dic47C2311yescharacteristic
473C2×C4×Dic47C2311yescharacteristic
474C2×C4×Dic47C2311yescharacteristic
475C2×C4×Dic47C2311yescharacteristic
476C2×C4×Dic47C2311yescharacteristic
477C2×C4×Dic47C2311yescharacteristic
478C2×C4×Dic47C2311yescharacteristic
479C22×Q8×C47C2311yescharacteristic
480C22×D4×C47C2311yescharacteristic
481C22×D4×C47C2311yescharacteristic
482C22×D4×C47C2311yescharacteristic
483C23×C4×C47C2311yescharacteristic
484C23×C4×C47C2311yescharacteristic
485C23×C4×C47C2311yescharacteristic
486C23×C4×C47C2311yescharacteristic
487C23×C4×C47C2311yescharacteristic
488#126×C47C2318yes—
489#126×C47C2318yes—
490#125×C47C2318yes—
491#125×C47C2318yes—
492#123×C47C2318yes—
493#123×C47C2318yes—
494#123×C47C2318yes—
495#123×C47C2318yes—
496C22⋊Q8×C47C2318yes—
497C22⋊Q8×C47C2318yes—
498C22⋊Q8×C47C2318yes—
499#121×C47C2318yes—
500C4×D4×C47C2318yes—
501C4×D4×C47C2318yes—
502C2×C4⋊C4×C47C2311yescharacteristic
503C2×C4⋊C4×C47C2311yescharacteristic
504C2×C4⋊C4×C47C2311yescharacteristic
505C2×C4⋊C4×C47C2311yescharacteristic
506C2×C4⋊C4×C47C2318yes—
507C2×C4⋊C4×C47C2311yescharacteristic
508C2×C4⋊C4×C47C2311yescharacteristic
509C2×C4⋊C4×C47C2311yescharacteristic
510C2×C4⋊C4×C47C2311yescharacteristic
511C2×C4⋊C4×C47C2311yescharacteristic
512C2×C4⋊C4×C47C2311yescharacteristic
513C2×C4⋊C4×C47C2311yescharacteristic
514C2×C4⋊C4×C47C2311yescharacteristic
515C2×C4⋊C4×C47C2311yescharacteristic
516C2×C4⋊C4×C47C2311yescharacteristic
517C2×C22⋊C4×C47C2311yescharacteristic
518C2×C22⋊C4×C47C2311yescharacteristic
519C2×C22⋊C4×C47C2311yescharacteristic
520C2×C22⋊C4×C47C2311yescharacteristic
521C2×C22⋊C4×C47C2311yescharacteristic
522C2×C22⋊C4×C47C2311yescharacteristic
523C2×C22⋊C4×C47C2311yescharacteristic
524C2×C22⋊C4×C47C2311yescharacteristic
525C2×C22⋊C4×C47C2311yescharacteristic
526C2×C22⋊C4×C47C2311yescharacteristic
527C2×C42×C47C2311yescharacteristic
528C2×C42×C47C2311yescharacteristic
529C24×C47C2411yescharacteristic
530C24×C47C2411yescharacteristic
531C24×C47C2411yescharacteristic
532C23×D47C2411yescharacteristic
533C23×D47C2411yescharacteristic
534C2×Q8×C47—42no—
535C2×Q8×C47C2414yes—
536C2×D4×C47—42no—
537C2×D4×C47—42no—
538C2×D4×C47—42no—
539C2×D4×C47C2414yes—
540C2×D4×C47C2414yes—
541C2×D4×C47C2414yes—
542C22×C4×C47—42no—
543C22×C4×C47—42no—
544C22×C4×C47—42no—
545C22×C4×C47—42no—
546C22×C4×C47—42no—
547C22×C4×C47C2411yescharacteristic
548C22×C4×C47C2411yescharacteristic
549C22×C4×C47C2411yescharacteristic
550C22×C4×C47C2411yescharacteristic
551C22×C4×C47C2411yescharacteristic
552C22×C4×C47C2411yescharacteristic
553C22×C4×C47C2411yescharacteristic
554C22×C4×C47C2411yescharacteristic
555C22×C4×C47C2411yescharacteristic
556C22×C4×C47C2411yescharacteristic
557C22×C4×C47C2411yescharacteristic
558C22×C4×C47C2411yescharacteristic
559C22×C4×C47C2414yes—
560C22×C4×C47C2414yes—
561C22×C4×C47C2414yes—
562C22×C4×C47C2414yes—
563C22×C4×C47C2414yes—
564C2×C22⋊D47—24no—
565C2×C22⋊D47—42no—
566C2×C22⋊D47—42no—
567C2×C22⋊D47—42no—
568C2×C22⋊D47—42no—
569C2×C22⋊D47—42no—
570C2×C22⋊D47C2414yes—
571C2×C22⋊D47C2414yes—
572C2×C22⋊D47C2414yes—
573C2×C22⋊D47C2414yes—
574C2×C22⋊D47C2414yes—
575C2×C22⋊D47C2414yes—
576C22×Dic47—24no—
577C22×Dic47—24no—
578C22×Dic47—42no—
579C22×Dic47—42no—
580C22×Dic47C2411yescharacteristic
581C22×Dic47C2411yescharacteristic
582C22×Dic47C2411yescharacteristic
583C22×Dic47C2411yescharacteristic
584C22×Dic47C2411yescharacteristic
585C22×Dic47C2411yescharacteristic
586C22×Dic47C2411yescharacteristic
587C22×Dic47C2411yescharacteristic
588C22×Dic47C2411yescharacteristic
589C22×Dic47C2411yescharacteristic
590C22×Dic47C2411yescharacteristic
591C22×Dic47C2414yes—
592C22×Dic47C2411yescharacteristic
593C22×Dic47C2411yescharacteristic
594C22×Dic47C2414yes—
595C22×Dic47C2414yes—
596C22×Dic47C2414yes—
597C22×Dic47C2411yescharacteristic
598C2×D188—42no—
599C2×D188C2414yes—
600C2×C4×D47—24no—
601C2×C4×D47—42no—
602C2×C4×D47—42no—
603C2×C4×D47—42no—
604C2×C4×D47—42no—
605C2×C4×D47—42no—
606C2×C4×D47C2414yes—
607C2×C4×D47C2414yes—
608C2×C4×D47C2414yes—
609C2×C4×D47C2414yes—
610C2×C4×D47C2414yes—
611C2×C4×D47C2414yes—
612C2×Dic94—24no—
613C2×Dic94—42no—
614C2×Dic94—42no—
615C2×Dic94—42no—
616C2×Dic94—42no—
617C2×Dic94—42no—
618C2×Dic94—42no—
619C2×Dic94—42no—
620C2×Dic94—42no—
621C2×Dic94C2414yes—
622C2×Dic94C2414yes—
623C2×Dic94C2414yes—
624C2×Dic94C2414yes—
625C2×Dic94C2414yes—
626C2×Dic94C2414yes—
627C2×Dic94C2414yes—
628C2×Dic94C2414yes—
629C2×Dic94C2414yes—
630C4⋊C4×C47C2414yes—
631C4⋊C4×C47C2414yes—
632C4⋊C4×C47C2414yes—
633C4⋊C4×C47C2414yes—
634C4⋊C4×C47C2414yes—
635C4⋊C4×C47C2414yes—
636C4⋊C4×C47C2414yes—
637C4⋊C4×C47C2414yes—
638C4⋊C4×C47C2414yes—
639C4⋊C4×C47C2414yes—
640C4⋊C4×C47C2414yes—
641C4⋊C4×C47C2414yes—
642C4⋊C4×C47C2414yes—
643C4⋊C4×C47C2414yes—
644C22⋊C4×C47C2414yes—
645C22⋊C4×C47C2414yes—
646C22⋊C4×C47C2414yes—
647C22⋊C4×C47C2414yes—
648C22⋊C4×C47C2414yes—
649C22⋊C4×C47C2414yes—
650C22⋊C4×C47C2414yes—
651C22⋊C4×C47C2414yes—
652C22⋊C4×C47C2414yes—
653C22⋊C4×C47C2414yes—
654C42×C47C2414yes—
655C42×C47C2414yes—
656C22⋊Dic47C2414yes—
657C22⋊Dic47C2414yes—
658C22⋊Dic47C2414yes—
659C22⋊Dic47C2414yes—
660C22⋊Dic47C2414yes—
661C22⋊Dic47C2414yes—
662C22⋊Dic47C2414yes—
663C22⋊Dic47C2414yes—
664C22⋊Dic47C2414yes—
665C22⋊Dic47C2414yes—
666C22⋊Dic47C2414yes—
667C22⋊Dic47C2414yes—
668C22⋊Dic47C2414yes—
669C22⋊Dic47C2414yes—
670(C2×D47)⋊C4C2414yes—
671(C2×D47)⋊C4C2414yes—
672(C2×D47)⋊C4C2414yes—
673(C2×D47)⋊C4C2414yes—
674(C2×D47)⋊C4C2414yes—
675(C2×D47)⋊C4C2414yes—
676(C2×D47)⋊C4C2414yes—
677(C2×D47)⋊C4C2414yes—
678(C2×D47)⋊C4C2414yes—
679(C2×D47)⋊C4C2414yes—
680(C2×D47)⋊C4C2414yes—
681(C2×D47)⋊C4C2414yes—
682(C2×D47)⋊C4C2414yes—
683(C2×D47)⋊C4C2414yes—
684(C2×D47)⋊C4C2414yes—
685(C2×D47)⋊C4C2414yes—
686C4⋊Dic47C2414yes—
687C4⋊Dic47C2414yes—
688C4⋊Dic47C2414yes—
689C4⋊Dic47C2414yes—
690C4⋊Dic47C2414yes—
691C4⋊Dic47C2414yes—
692C4⋊Dic47C2414yes—
693C4⋊Dic47C2414yes—
694C4⋊Dic47C2414yes—
695C4⋊Dic47C2414yes—
696C4⋊Dic47C2414yes—
697C4⋊Dic47C2414yes—
698C4⋊Dic47C2414yes—
699C4⋊Dic47C2414yes—
700Dic47⋊C4C2414yes—
701Dic47⋊C4C2414yes—
702Dic47⋊C4C2414yes—
703Dic47⋊C4C2414yes—
704Dic47⋊C4C2414yes—
705Dic47⋊C4C2414yes—
706Dic47⋊C4C2414yes—
707Dic47⋊C4C2414yes—
708Dic47⋊C4C2414yes—
709Dic47⋊C4C2414yes—
710Dic47⋊C4C2414yes—
711Dic47⋊C4C2414yes—
712Dic47⋊C4C2414yes—
713Dic47⋊C4C2414yes—
714Dic47⋊C4C2414yes—
715Dic47⋊C4C2414yes—
716Dic47⋊C4C2414yes—
717Dic47⋊C4C2414yes—
718Dic47⋊C4C2414yes—
719Dic47⋊C4C2414yes—
720Dic47⋊C4C2414yes—
721Dic47⋊C4C2414yes—
722Dic47⋊C4C2414yes—
723Dic47⋊C4C2414yes—
724Dic47⋊C4C2414yes—
725Dic47⋊C4C2414yes—
726Dic47⋊C4C2414yes—
727Dic47⋊C4C2414yes—
728Dic47⋊C4C2414yes—
729Dic47⋊C4C2414yes—
730Dic47⋊C4C2414yes—
731Dic47⋊C4C2414yes—
732C4×Dic47C2414yes—
733C4×Dic47C2414yes—
734C4×Dic47C2414yes—
735C4×Dic47C2414yes—
736C4×Dic47C2414yes—
737C4×Dic47C2414yes—
738C4×Dic47C2414yes—
739C4×Dic47C2414yes—
740C4×Dic47C2414yes—
741C4×Dic47C2414yes—
742C4×Dic47C2414yes—
743C4×Dic47C2414yes—
744C4×Dic47C2414yes—
745C4×Dic47C2414yes—
746C4×Dic47C2414yes—
747C4×Dic47C2414yes—
748C4×Dic47C2414yes—
749C4×Dic47C2414yes—
750C23×C47—22no—
751C23×C47—22no—
752C23×C47—22no—
753C23×C47—22no—
754C23×C47—22no—
755C23×C47—22no—
756C23×C47—22no—
757C23×C47—22no—
758C23×C47—22no—
759C23×C47C2512yes—
760C23×C47C2512yes—
761C23×C47C2512yes—
762C23×C47C2511yescharacteristic
763C22×D47—22no—
764C22×D47—22no—
765C22×D47—22no—
766C22×D47—22no—
767C22×D47—22no—
768C22×D47—22no—
769C22×D47C2512yes—
770C22×D47C2512yes—
771Q8×C47—44no—
772D4×C47—44no—
773D4×C47—44no—
774D4×C47—44no—
775C2×C4×C47—22no—
776C2×C4×C47—22no—
777C2×C4×C47—22no—
778C2×C4×C47—22no—
779C2×C4×C47—22no—
780C2×C4×C47—22no—
781C2×C4×C47—22no—
782C2×C4×C47—22no—
783C2×C4×C47—22no—
784C2×C4×C47—22no—
785C2×C4×C47—22no—
786C2×C4×C47—22no—
787C2×C4×C47—44no—
788C2×C4×C47—44no—
789C2×C4×C47—44no—
790C2×C4×C47—44no—
791C2×C4×C47—44no—
792C2×C4×C47C2512yes—
793C2×C4×C47C2512yes—
794C2×C4×C47C2512yes—
795C2×C4×C47C2512yes—
796C2×C4×C47C2512yes—
797C2×C4×C47C2512yes—
798C2×C4×C47C2512yes—
799C2×C4×C47C2512yes—
800C2×C4×C47C2512yes—
801C2×C4×C47C2512yes—
802C2×C4×C47C2512yes—
803C2×C4×C47C2512yes—
804C22⋊D47—28no—
805C22⋊D47—44no—
806C22⋊D47—44no—
807C22⋊D47—44no—
808C22⋊D47—44no—
809C22⋊D47—44no—
810C2×Dic47—22no—
811C2×Dic47—22no—
812C2×Dic47—22no—
813C2×Dic47—22no—
814C2×Dic47—22no—
815C2×Dic47—22no—
816C2×Dic47—22no—
817C2×Dic47—22no—
818C2×Dic47—22no—
819C2×Dic47—22no—
820C2×Dic47—22no—
821C2×Dic47—22no—
822C2×Dic47—22no—
823C2×Dic47—28no—
824C2×Dic47—28no—
825C2×Dic47—44no—
826C2×Dic47—44no—
827C2×Dic472−1+414yes—
828C2×Dic47C2512yes—
829C2×Dic47C2512yes—
830C2×Dic47C2512yes—
831C2×Dic47C2512yes—
832C2×Dic47C2512yes—
833C2×Dic47C2512yes—
834C2×Dic47C2512yes—
835C2×Dic47C2512yes—
836C2×Dic47C2512yes—
837C2×Dic47C2512yes—
838C2×Dic47C2512yes—
839C2×Dic47C2512yes—
840C2×Dic47C2512yes—
841C2×Dic47C2512yes—
842D188—44no—
843C4×D47—28no—
844C4×D47—44no—
845C4×D47—44no—
846C4×D47—44no—
847C4×D47—44no—
848C4×D47—44no—
849Dic94—28no—
850Dic94—44no—
851Dic94—44no—
852Dic94—44no—
853Dic94—44no—
854Dic94—44no—
855Dic94—44no—
856Dic94—44no—
857Dic94—44no—
858C2×#3565—471nomaximal, Sylow
859C22×C47—22no—
860C22×C47—22no—
861C22×C47—22no—
862C22×C47—22no—
863C22×C47—22no—
864C22×C47—22no—
865C22×C47—22no—
866C22×C47—22no—
867C22×C47—22no—
868C22×C47—44no—
869C22×C47—44no—
870C22×C47—44no—
871C22×C47C2×2−1+412yes—
872C22×C47#58512yes—
873C22×C47#58512yes—
874C22×C47C2611yescharacteristic
875C2×D47—22no—
876C2×D47—22no—
877C2×D47—22no—
878C2×D47—22no—
879C2×D47—22no—
880C2×D47—22no—
881C2×D47—44no—
882C2×D47—44no—
883C4×C47—22no—
884C4×C47—22no—
885C4×C47—22no—
886C4×C47—22no—
887C4×C47—22no—
888C4×C47—22no—
889C4×C47—22no—
890C4×C47—22no—
891C4×C47—22no—
892C4×C47—22no—
893C4×C47—22no—
894C4×C47—22no—
895Dic47—22no—
896Dic47—22no—
897Dic47—22no—
898Dic47—22no—
899Dic47—22no—
900Dic47—22no—
901Dic47—22no—
902Dic47—22no—
903Dic47—22no—
904Dic47—22no—
905Dic47—22no—
906Dic47—22no—
907Dic47—22no—
908Dic47C2×2−1+414yes—
909#3565—4732no—
910C2×#563—471no—
911C2×#563—471no—
912C2×#562—471no—
913C2×#562—471no—
914C2×#557—471no—
915C2×#556—471no—
916C2×#556—471no—
917C2×#556—471no—
918C2×#555—471no—
919C2×#554—471no—
920C2×#553—471no—
921C2×#553—471no—
922C2×#552—471no—
923C2×#552—471no—
924C2×#552—471no—
925C2×#552—471no—
926C2×#544—471no—
927C2×#544—471no—
928C2×#542—471no—
929C2×#542—471no—
930C2×#542—471no—
931C2×#542—471no—
932C2×#542—471no—
933C2×#542—471no—
934C2×#541—471no—
935C2×#541—471no—
936C2×#539—471no—
937C2×#539D4711yescharacteristic, complemented
938C2×#533—471no—
939C2×#529—471no—
940C2×#529—471no—
941C2×C47—42no—
942C2×C47—42no—
943C2×C47—42no—
944C2×C47#356514yescomplemented
945C2×C47C22×2−1+411yescharacteristic
946C2×C47C2×#58511yescharacteristic
947C2×C47C2×#58511yescharacteristic
948D47—42no—
949D47—42no—
950#563—4716no—
951#563—4716no—
952#562—4716no—
953#562—4716no—
954#557—4716no—
955#556—4716no—
956#556—4716no—
957#556—4716no—
958#555—4716no—
959#554—4716no—
960#553—4716no—
961#553—4716no—
962#552—4716no—
963#552—4716no—
964#552—4716no—
965#552—4716no—
966#544—4716no—
967#544—4716no—
968#542—4716no—
969#542—4716no—
970#542—4716no—
971#542—4716no—
972#542—4716no—
973#542—4716no—
974#541—4716no—
975#541—4716no—
976#539—4716no—
977#539C2×D47116yescomplemented
978#533—4716no—
979C2×C4⋊Q8—471no—
980C2×C4⋊Q8—471no—
981C2×C4⋊Q8—471no—
982C2×C4⋊Q8—471no—
983C2×C4⋊Q8—471no—
984C2×C4⋊Q8—471no—
985C2×C4⋊Q8—471no—
986C2×C4⋊Q8—471no—
987C2×C4⋊Q8—471no—
988C2×C4⋊Q8—471no—
989#529—4716no—
990#529—4716no—
991C2×#126—471no—
992C2×#126—471no—
993C2×#126—471no—
994C2×#126—471no—
995C2×#126—471no—
996C2×#126—471no—
997C2×#126—471no—
998C2×#126—471no—
999C2×#126—471no—
1000C2×#126—471no—
1001C2×#126—471no—
1002C2×#126—471no—
1003C2×#126—471no—
1004C2×#126—471no—
1005C2×#126—471no—
1006C2×#126—471no—
1007C2×#126—471no—
1008C2×#126—471no—
1009C2×#126C2×D4711yescharacteristic
1010C2×#126C2×D4711yescharacteristic
1011C2×#125—471no—
1012C2×#125—471no—
1013C2×#125—471no—
1014C2×#125—471no—
1015C2×#125—471no—
1016C2×#125—471no—
1017C2×#125—471no—
1018C2×#125—471no—
1019C2×#125—471no—
1020C2×#125—471no—
1021C2×#125—471no—
1022C2×#125—471no—
1023C2×#125—471no—
1024C2×#125—471no—
1025C2×#125—471no—
1026C2×#125—471no—
1027C2×#125C2×D4711yescharacteristic
1028C2×#125C2×D4711yescharacteristic
1029C2×#124—471no—
1030C2×#124—471no—
1031C2×#124—471no—
1032C2×#124—471no—
1033C2×#124—471no—
1034C2×#124—471no—
1035C2×#124—471no—
1036C2×#124—471no—
1037C2×#124—471no—
1038C2×#124—471no—
1039C2×#124—471no—
1040C2×#124—471no—
1041C2×#123—471no—
1042C2×#123—471no—
1043C2×#123—471no—
1044C2×#123—471no—
1045C2×#123—471no—
1046C2×#123—471no—
1047C2×#123—471no—
1048C2×#123—471no—
1049C2×#123—471no—
1050C2×#123—471no—
1051C2×#123—471no—
1052C2×#123—471no—
1053C2×#123C2×D4711yescharacteristic
1054C2×#123C2×D4711yescharacteristic
1055C2×#123C2×D4711yescharacteristic
1056C2×#123C2×D4711yescharacteristic
1057C2×C22⋊Q8—471no—
1058C2×C22⋊Q8—471no—
1059C2×C22⋊Q8—471no—
1060C2×C22⋊Q8—471no—
1061C2×C22⋊Q8—471no—
1062C2×C22⋊Q8—471no—
1063C2×C22⋊Q8—471no—
1064C2×C22⋊Q8—471no—
1065C2×C22⋊Q8—471no—
1066C2×C22⋊Q8—471no—
1067C2×C22⋊Q8—471no—
1068C2×C22⋊Q8—471no—
1069C2×C22⋊Q8—471no—
1070C2×C22⋊Q8—471no—
1071C2×C22⋊Q8—471no—
1072C2×C22⋊Q8—471no—
1073C2×C22⋊Q8—471no—
1074C2×C22⋊Q8—471no—
1075C2×C22⋊Q8—471no—
1076C2×C22⋊Q8—471no—
1077C2×C22⋊Q8—471no—
1078C2×C22⋊Q8—471no—
1079C2×C22⋊Q8—471no—
1080C2×C22⋊Q8C2×D4711yescharacteristic
1081C2×C22⋊Q8C2×D4711yescharacteristic
1082C2×C22⋊Q8C2×D4711yescharacteristic
1083C2×#121—471no—
1084C2×#121—471no—
1085C2×#121—471no—
1086C2×#121—471no—
1087C2×#121—471no—
1088C2×#121—471no—
1089C2×#121—471no—
1090C2×#121—471no—
1091C2×#121—471no—
1092C2×#121C2×D4711yescharacteristic
1093C2×C4×Q8—471no—
1094C2×C4×Q8—471no—
1095C2×C4×Q8—471no—
1096C2×C4×Q8—471no—
1097C2×C4×Q8—471no—
1098C2×C4×Q8—471no—
1099C2×C4×Q8—471no—
1100C2×C4×Q8—471no—
1101C2×C4×Q8—471no—
1102C2×C4×Q8—471no—
1103C2×C4×Q8—471no—
1104C2×C4×Q8—471no—
1105C2×C4×D4—471no—
1106C2×C4×D4—471no—
1107C2×C4×D4—471no—
1108C2×C4×D4—471no—
1109C2×C4×D4—471no—
1110C2×C4×D4—471no—
1111C2×C4×D4—471no—
1112C2×C4×D4—471no—
1113C2×C4×D4—471no—
1114C2×C4×D4—471no—
1115C2×C4×D4C2×D4711yescharacteristic
1116C2×C4×D4C2×D4711yescharacteristic
1117C2×#117—471no—
1118C2×#117—471no—
1119C2×#117—471no—
1120C2×#117—471no—
1121C2×#117—471no—
1122C2×#117—471no—
1123C2×#117—471no—
1124C2×#117—471no—
1125C2×#117—471no—
1126C2×#117—471no—
1127C2×#117—471no—
1128C2×#117—471no—
1129C2×#117—471no—
1130C2×#117—471no—
1131C22×C4⋊C4—471no—
1132C22×C4⋊C4—471no—
1133C22×C4⋊C4—471no—
1134C22×C4⋊C4C2×D4711yescharacteristic
1135C22×C42—471no—
1136C47C2×#356511yescharacteristic, complemented, Sylow
1137C22×Q8—471no—
1138C22×Q8—471no—
1139C22×Q8—471no—
1140C22×Q8—471no—
1141C22×Q8—471no—
1142C22×Q8—471no—
1143C22×Q8—471no—
1144C22×Q8—471no—
1145C22×Q8—471no—
1146C22×Q8C22×D4711yescharacteristic
1147C22×D4—471no—
1148C22×D4—471no—
1149C22×D4—471no—
1150C22×D4—471no—
1151C22×D4—471no—
1152C22×D4—471no—
1153C22×D4—471no—
1154C22×D4C22×D4711yescharacteristic
1155C22×D4C22×D4711yescharacteristic
1156C22×D4C22×D4711yescharacteristic
1157C23×C4—471no—
1158C23×C4—471no—
1159C23×C4—471no—
1160C23×C4—471no—
1161C23×C4—471no—
1162C23×C4—471no—
1163C23×C4—471no—
1164C23×C4—471no—
1165C23×C4—471no—
1166C23×C4—471no—
1167C23×C4C22×D4711yescharacteristic
1168C23×C4C22×D4711yescharacteristic
1169C23×C4C22×D4711yescharacteristic
1170C23×C4C22×D4711yescharacteristic
1171C23×C4C22×D4711yescharacteristic
1172C4⋊Q8—478no—
1173C4⋊Q8—478no—
1174C4⋊Q8—478no—
1175C4⋊Q8—478no—
1176C4⋊Q8—478no—
1177C4⋊Q8—478no—
1178C4⋊Q8—478no—
1179C4⋊Q8—478no—
1180C4⋊Q8—478no—
1181C4⋊Q8—478no—
1182#126—478no—
1183#126—478no—
1184#126—478no—
1185#126—478no—
1186#126—478no—
1187#126—478no—
1188#126—478no—
1189#126—478no—
1190#126—478no—
1191#126—478no—
1192#126—478no—
1193#126—478no—
1194#126—478no—
1195#126—478no—
1196#126—478no—
1197#126—478no—
1198#126—478no—
1199#126—478no—
1200#126C22×D4718yes—
1201#126C22×D4718yes—
1202#125—478no—
1203#125—478no—
1204#125—478no—
1205#125—478no—
1206#125—478no—
1207#125—478no—
1208#125—478no—
1209#125—478no—
1210#125—478no—
1211#125—478no—
1212#125—478no—
1213#125—478no—
1214#125—478no—
1215#125—478no—
1216#125—478no—
1217#125—478no—
1218#125C22×D4718yes—
1219#125C22×D4718yes—
1220#124—478no—
1221#124—478no—
1222#124—478no—
1223#124—478no—
1224#124—478no—
1225#124—478no—
1226#124—478no—
1227#124—478no—
1228#124—478no—
1229#124—478no—
1230#124—478no—
1231#124—478no—
1232#123—478no—
1233#123—478no—
1234#123—478no—
1235#123—478no—
1236#123—478no—
1237#123—478no—
1238#123—478no—
1239#123—478no—
1240#123—478no—
1241#123—478no—
1242#123—478no—
1243#123—478no—
1244#123C22×D4718yes—
1245#123C22×D4718yes—
1246#123C22×D4718yes—
1247#123C22×D4718yes—
1248C22⋊Q8—478no—
1249C22⋊Q8—478no—
1250C22⋊Q8—478no—
1251C22⋊Q8—478no—
1252C22⋊Q8—478no—
1253C22⋊Q8—478no—
1254C22⋊Q8—478no—
1255C22⋊Q8—478no—
1256C22⋊Q8—478no—
1257C22⋊Q8—478no—
1258C22⋊Q8—478no—
1259C22⋊Q8—478no—
1260C22⋊Q8—478no—
1261C22⋊Q8—478no—
1262C22⋊Q8—478no—
1263C22⋊Q8—478no—
1264C22⋊Q8—478no—
1265C22⋊Q8—478no—
1266C22⋊Q8—478no—
1267C22⋊Q8—478no—
1268C22⋊Q8—478no—
1269C22⋊Q8—478no—
1270C22⋊Q8—478no—
1271C22⋊Q8C22×D4718yes—
1272C22⋊Q8C22×D4718yes—
1273C22⋊Q8C22×D4718yes—
1274#121—478no—
1275#121—478no—
1276#121—478no—
1277#121—478no—
1278#121—478no—
1279#121—478no—
1280#121—478no—
1281#121—478no—
1282#121—478no—
1283#121C22×D4718yes—
1284C4×Q8—478no—
1285C4×Q8—478no—
1286C4×Q8—478no—
1287C4×Q8—478no—
1288C4×Q8—478no—
1289C4×Q8—478no—
1290C4×Q8—478no—
1291C4×Q8—478no—
1292C4×Q8—478no—
1293C4×Q8—478no—
1294C4×Q8—478no—
1295C4×Q8—478no—
1296C4×D4—478no—
1297C4×D4—478no—
1298C4×D4—478no—
1299C4×D4—478no—
1300C4×D4—478no—
1301C4×D4—478no—
1302C4×D4—478no—
1303C4×D4—478no—
1304C4×D4—478no—
1305C4×D4—478no—
1306C4×D4C22×D4718yes—
1307C4×D4C22×D4718yes—
1308#117—478no—
1309#117—478no—
1310#117—478no—
1311#117—478no—
1312#117—478no—
1313#117—478no—
1314#117—478no—
1315#117—478no—
1316#117—478no—
1317#117—478no—
1318#117—478no—
1319#117—478no—
1320#117—478no—
1321#117—478no—
1322C2×C4⋊C4—471no—
1323C2×C4⋊C4—471no—
1324C2×C4⋊C4—471no—
1325C2×C4⋊C4—471no—
1326C2×C4⋊C4—471no—
1327C2×C4⋊C4—471no—
1328C2×C4⋊C4—471no—
1329C2×C4⋊C4—471no—
1330C2×C4⋊C4—471no—
1331C2×C4⋊C4—471no—
1332C2×C4⋊C4—478no—
1333C2×C4⋊C4—471no—
1334C2×C4⋊C4—471no—
1335C2×C4⋊C4—471no—
1336C2×C4⋊C4—471no—
1337C2×C4⋊C4—471no—
1338C2×C4⋊C4—471no—
1339C2×C4⋊C4—471no—
1340C2×C4⋊C4—471no—
1341C2×C4⋊C4—471no—
1342C2×C4⋊C4—471no—
1343C2×C4⋊C4—471no—
1344C2×C4⋊C4—471no—
1345C2×C4⋊C4—471no—
1346C2×C4⋊C4—471no—
1347C2×C4⋊C4—471no—
1348C2×C4⋊C4—471no—
1349C2×C4⋊C4—471no—
1350C2×C4⋊C4—471no—
1351C2×C4⋊C4—471no—
1352C2×C4⋊C4—471no—
1353C2×C4⋊C4—471no—
1354C2×C4⋊C4—471no—
1355C2×C4⋊C4—471no—
1356C2×C4⋊C4—471no—
1357C2×C4⋊C4—471no—
1358C2×C4⋊C4—471no—
1359C2×C4⋊C4—471no—
1360C2×C4⋊C4—471no—
1361C2×C4⋊C4—471no—
1362C2×C4⋊C4—471no—
1363C2×C4⋊C4—471no—
1364C2×C4⋊C4—471no—
1365C2×C4⋊C4—471no—
1366C2×C4⋊C4—471no—
1367C2×C4⋊C4—471no—
1368C2×C4⋊C4—471no—
1369C2×C4⋊C4—478no—
1370C2×C4⋊C4—478no—
1371C2×C4⋊C4C22×D4711yescharacteristic
1372C2×C4⋊C4C22×D4711yescharacteristic
1373C2×C4⋊C4C22×D4711yescharacteristic
1374C2×C4⋊C4C22×D4711yescharacteristic
1375C2×C4⋊C4C22×D4711yescharacteristic
1376C2×C4⋊C4C22×D4718yes—
1377C2×C4⋊C4C22×D4711yescharacteristic
1378C2×C4⋊C4C22×D4711yescharacteristic
1379C2×C4⋊C4C22×D4711yescharacteristic
1380C2×C4⋊C4C22×D4711yescharacteristic
1381C2×C4⋊C4C22×D4711yescharacteristic
1382C2×C4⋊C4C22×D4711yescharacteristic
1383C2×C4⋊C4C22×D4711yescharacteristic
1384C2×C4⋊C4C22×D4711yescharacteristic
1385C2×C4⋊C4C22×D4711yescharacteristic
1386C2×C22⋊C4—471no—
1387C2×C22⋊C4—471no—
1388C2×C22⋊C4—471no—
1389C2×C22⋊C4—471no—
1390C2×C22⋊C4—471no—
1391C2×C22⋊C4—471no—
1392C2×C22⋊C4—471no—
1393C2×C22⋊C4—471no—
1394C2×C22⋊C4—471no—
1395C2×C22⋊C4—471no—
1396C2×C22⋊C4—471no—
1397C2×C22⋊C4—471no—
1398C2×C22⋊C4—471no—
1399C2×C22⋊C4—471no—
1400C2×C22⋊C4—471no—
1401C2×C22⋊C4—471no—
1402C2×C22⋊C4—471no—
1403C2×C22⋊C4—471no—
1404C2×C22⋊C4—471no—
1405C2×C22⋊C4—471no—
1406C2×C22⋊C4—471no—
1407C2×C22⋊C4—471no—
1408C2×C22⋊C4—471no—
1409C2×C22⋊C4—471no—
1410C2×C22⋊C4—471no—
1411C2×C22⋊C4—471no—
1412C2×C22⋊C4—471no—
1413C2×C22⋊C4—471no—
1414C2×C22⋊C4—471no—
1415C2×C22⋊C4—471no—
1416C2×C22⋊C4C22×D4711yescharacteristic
1417C2×C22⋊C4C22×D4711yescharacteristic
1418C2×C22⋊C4C22×D4711yescharacteristic
1419C2×C22⋊C4C22×D4711yescharacteristic
1420C2×C22⋊C4C22×D4711yescharacteristic
1421C2×C22⋊C4C22×D4711yescharacteristic
1422C2×C22⋊C4C22×D4711yescharacteristic
1423C2×C22⋊C4C22×D4711yescharacteristic
1424C2×C22⋊C4C22×D4711yescharacteristic
1425C2×C22⋊C4C22×D4711yescharacteristic
1426C2×C42—471no—
1427C2×C42—471no—
1428C2×C42—471no—
1429C2×C42—471no—
1430C2×C42—471no—
1431C2×C42—471no—
1432C2×C42—471no—
1433C2×C42—471no—
1434C2×C42—471no—
1435C2×C42—471no—
1436C2×C42—471no—
1437C2×C42—471no—
1438C2×C42—471no—
1439C2×C42—471no—
1440C2×C42—471no—
1441C2×C42—471no—
1442C2×C42—471no—
1443C2×C42—471no—
1444C2×C42—478no—
1445C2×C42C22×D4711yescharacteristic
1446C2×C42C22×D4711yescharacteristic
1447C24—471no—
1448C24—471no—
1449C24C23×D4711yescharacteristic
1450C24C23×D4711yescharacteristic
1451C24C23×D4711yescharacteristic
1452C2×Q8—42no—
1453C2×Q8—474no—
1454C2×Q8—474no—
1455C2×Q8—474no—
1456C2×Q8—474no—
1457C2×Q8—474no—
1458C2×Q8—474no—
1459C2×Q8—474no—
1460C2×Q8—474no—
1461C2×Q8—474no—
1462C2×Q8—944no—
1463C2×Q8—1882no—
1464C2×Q8—1882no—
1465C2×Q8—1882no—
1466C2×Q8—1882no—
1467C2×Q8—1882no—
1468C2×Q8—1882no—
1469C2×Q8—1882no—
1470C2×Q8—1882no—
1471C2×Q8C23×D4714yes—
1472C2×D4—42no—
1473C2×D4—42no—
1474C2×D4—42no—
1475C2×D4—474no—
1476C2×D4—474no—
1477C2×D4—474no—
1478C2×D4—474no—
1479C2×D4—474no—
1480C2×D4—474no—
1481C2×D4—474no—
1482C2×D4—944no—
1483C2×D4—1882no—
1484C2×D4—1882no—
1485C2×D4—1882no—
1486C2×D4—1882no—
1487C2×D4—1882no—
1488C2×D4—1882no—
1489C2×D4C23×D4714yes—
1490C2×D4C23×D4714yes—
1491C2×D4C23×D4714yes—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—471no—
1498C22×C4—474no—
1499C22×C4—474no—
1500C22×C4—471no—
1501C22×C4—471no—
1502C22×C4—471no—
1503C22×C4—471no—
1504C22×C4—471no—
1505C22×C4—471no—
1506C22×C4—471no—
1507C22×C4—471no—
1508C22×C4—471no—
1509C22×C4—471no—
1510C22×C4—471no—
1511C22×C4—471no—
1512C22×C4—471no—
1513C22×C4—474no—
1514C22×C4—474no—
1515C22×C4—474no—
1516C22×C4—474no—
1517C22×C4—474no—
1518C22×C4—474no—
1519C22×C4—474no—
1520C22×C4—474no—
1521C22×C4—944no—
1522C22×C4—944no—
1523C22×C4—944no—
1524C22×C4—1882no—
1525C22×C4—1882no—
1526C22×C4—1882no—
1527C22×C4—1882no—
1528C22×C4—1882no—
1529C22×C4—1882no—
1530C22×C4—1882no—
1531C22×C4C23×D4711yescharacteristic
1532C22×C4C23×D4711yescharacteristic
1533C22×C4C23×D4711yescharacteristic
1534C22×C4C23×D4711yescharacteristic
1535C22×C4C23×D4711yescharacteristic
1536C22×C4C23×D4711yescharacteristic
1537C22×C4C23×D4711yescharacteristic
1538C22×C4C23×D4711yescharacteristic
1539C22×C4C23×D4711yescharacteristic
1540C22×C4C23×D4711yescharacteristic
1541C22×C4C23×D4711yescharacteristic
1542C22×C4C23×D4711yescharacteristic
1543C22×C4C23×D4714yes—
1544C22×C4C23×D4714yes—
1545C22×C4C23×D4714yes—
1546C22×C4C23×D4714yes—
1547C22×C4C23×D4714yes—
1548C4⋊C4—474no—
1549C4⋊C4—474no—
1550C4⋊C4—474no—
1551C4⋊C4—474no—
1552C4⋊C4—474no—
1553C4⋊C4—474no—
1554C4⋊C4—474no—
1555C4⋊C4—474no—
1556C4⋊C4—474no—
1557C4⋊C4—474no—
1558C4⋊C4—474no—
1559C4⋊C4—474no—
1560C4⋊C4—474no—
1561C4⋊C4—474no—
1562C4⋊C4—474no—
1563C4⋊C4—474no—
1564C4⋊C4—474no—
1565C4⋊C4—474no—
1566C4⋊C4—474no—
1567C4⋊C4—474no—
1568C4⋊C4—474no—
1569C4⋊C4—474no—
1570C4⋊C4—474no—
1571C4⋊C4—474no—
1572C4⋊C4—474no—
1573C4⋊C4—474no—
1574C4⋊C4—474no—
1575C4⋊C4—474no—
1576C4⋊C4—474no—
1577C4⋊C4—474no—
1578C4⋊C4—474no—
1579C4⋊C4—474no—
1580C4⋊C4—474no—
1581C4⋊C4—474no—
1582C4⋊C4—474no—
1583C4⋊C4—474no—
1584C4⋊C4—474no—
1585C4⋊C4—474no—
1586C4⋊C4—474no—
1587C4⋊C4—474no—
1588C4⋊C4—474no—
1589C4⋊C4—474no—
1590C4⋊C4—474no—
1591C4⋊C4—474no—
1592C4⋊C4—474no—
1593C4⋊C4—474no—
1594C4⋊C4C23×D4714yes—
1595C4⋊C4C23×D4714yes—
1596C4⋊C4C23×D4714yes—
1597C4⋊C4C23×D4714yes—
1598C4⋊C4C23×D4714yes—
1599C4⋊C4C23×D4714yes—
1600C4⋊C4C23×D4714yes—
1601C4⋊C4C23×D4714yes—
1602C4⋊C4C23×D4714yes—
1603C4⋊C4C23×D4714yes—
1604C4⋊C4C23×D4714yes—
1605C4⋊C4C23×D4714yes—
1606C4⋊C4C23×D4714yes—
1607C4⋊C4C23×D4714yes—
1608C22⋊C4—474no—
1609C22⋊C4—474no—
1610C22⋊C4—474no—
1611C22⋊C4—474no—
1612C22⋊C4—474no—
1613C22⋊C4—474no—
1614C22⋊C4—474no—
1615C22⋊C4—474no—
1616C22⋊C4—474no—
1617C22⋊C4—474no—
1618C22⋊C4—474no—
1619C22⋊C4—474no—
1620C22⋊C4—474no—
1621C22⋊C4—474no—
1622C22⋊C4—474no—
1623C22⋊C4—474no—
1624C22⋊C4—474no—
1625C22⋊C4—474no—
1626C22⋊C4—474no—
1627C22⋊C4—474no—
1628C22⋊C4—474no—
1629C22⋊C4—474no—
1630C22⋊C4—474no—
1631C22⋊C4—474no—
1632C22⋊C4—474no—
1633C22⋊C4—474no—
1634C22⋊C4—474no—
1635C22⋊C4—474no—
1636C22⋊C4—474no—
1637C22⋊C4—474no—
1638C22⋊C4C23×D4714yes—
1639C22⋊C4C23×D4714yes—
1640C22⋊C4C23×D4714yes—
1641C22⋊C4C23×D4714yes—
1642C22⋊C4C23×D4714yes—
1643C22⋊C4C23×D4714yes—
1644C22⋊C4C23×D4714yes—
1645C22⋊C4C23×D4714yes—
1646C22⋊C4C23×D4714yes—
1647C22⋊C4C23×D4714yes—
1648C42—474no—
1649C42—474no—
1650C42—474no—
1651C42—474no—
1652C42—474no—
1653C42—474no—
1654C42—474no—
1655C42—474no—
1656C42—474no—
1657C42—474no—
1658C42—474no—
1659C42—474no—
1660C42—474no—
1661C42—474no—
1662C42—474no—
1663C42—474no—
1664C42—474no—
1665C42—474no—
1666C42C23×D4714yes—
1667C42C23×D4714yes—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—472no—
1678C23—472no—
1679C23—942no—
1680C23—942no—
1681C23—942no—
1682C23—942no—
1683C23—942no—
1684C23—942no—
1685C23C24×D4712yes—
1686C23C24×D4712yes—
1687C23C24×D4712yes—
1688C23C24×D4711yescharacteristic
1689Q8—44no—
1690Q8—948no—
1691Q8—1884no—
1692Q8—1884no—
1693Q8—1884no—
1694Q8—1884no—
1695Q8—1884no—
1696Q8—1884no—
1697Q8—1884no—
1698Q8—1884no—
1699D4—44no—
1700D4—44no—
1701D4—44no—
1702D4—948no—
1703D4—1884no—
1704D4—1884no—
1705D4—1884no—
1706D4—1884no—
1707D4—1884no—
1708D4—1884no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—474no—
1727C2×C4—472no—
1728C2×C4—472no—
1729C2×C4—472no—
1730C2×C4—472no—
1731C2×C4—472no—
1732C2×C4—472no—
1733C2×C4—472no—
1734C2×C4—472no—
1735C2×C4—472no—
1736C2×C4—472no—
1737C2×C4—472no—
1738C2×C4—472no—
1739C2×C4—472no—
1740C2×C4—472no—
1741C2×C4—948no—
1742C2×C4—948no—
1743C2×C4—948no—
1744C2×C4—942no—
1745C2×C4—942no—
1746C2×C4—942no—
1747C2×C4—942no—
1748C2×C4—942no—
1749C2×C4—942no—
1750C2×C4—942no—
1751C2×C4—942no—
1752C2×C4—942no—
1753C2×C4—942no—
1754C2×C4—942no—
1755C2×C4—942no—
1756C2×C4—942no—
1757C2×C4—1884no—
1758C2×C4—1884no—
1759C2×C4—1884no—
1760C2×C4—1884no—
1761C2×C4—1884no—
1762C2×C4—1884no—
1763C2×C4—1884no—
1764C2×C4C24×D4712yes—
1765C2×C4C24×D4712yes—
1766C2×C4C24×D4712yes—
1767C2×C4C24×D4712yes—
1768C2×C4C24×D4712yes—
1769C2×C4C24×D4712yes—
1770C2×C4C24×D4712yes—
1771C2×C4C24×D4712yes—
1772C2×C4C24×D4712yes—
1773C2×C4C24×D4712yes—
1774C2×C4C24×D4712yes—
1775C2×C4C24×D4712yes—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—44no—
1786C22—44no—
1787C22—44no—
1788C22—942no—
1789C22—942no—
1790C22—942no—
1791C22—942no—
1792C22—942no—
1793C22—942no—
1794C22—1884no—
1795C22—1884no—
1796C222−1+4×D4712yes—
1797C22#1568995812yes—
1798C22#1568995912yes—
1799C22C25×D4711yescharacteristic
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—474no—
1813C4—942no—
1814C4—942no—
1815C4—942no—
1816C4—942no—
1817C4—942no—
1818C4—942no—
1819C4—942no—
1820C4—942no—
1821C4—942no—
1822C4—942no—
1823C4—942no—
1824C4—942no—
1825C4—942no—
1826C2—42no—
1827C2—42no—
1828C2—42no—
1829C2—1882no—
1830C2—1882no—
1831C2#2025803214yesdirect product factor
1832C2C2×2−1+4×D4711yescharacteristic
1833C2C2×#1568995811yescharacteristic
1834C2C2×#1568995911yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#539C2
socleC23×C47C25
hypercenterC2×#539D47
hypocenterC47C2×#3565
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #20258032C2direct (N × H)
2. C2×#15689876C2semidirect
3. C2×#15689875C2semidirect
4. C2×#15689870C2semidirect
5. C2×#15689868C2semidirect
6. C2×#15689850C2semidirect
7. C2×#15689843C2semidirect
8. C2×#15689840C2semidirect
9. C2×#15689840C2semidirect
10. C2×#15689837C2semidirect
11. C2×#15689828C2semidirect
12. C2×#15689822C2semidirect
13. C2×#15689818C2semidirect
14. C2×#15689810C2semidirect
15. C2×#15689809C2semidirect
16. C2×#15689808C2semidirect
17. C2×#15689805C2semidirect
18. C2×#15689753C2semidirect
19. C2×#15689752C2semidirect
20. C2×#15689746C2semidirect
21. C2×#15689743C2semidirect
22. C2×#15689743C2semidirect
23. C2×#15689741C2semidirect
24. C2×#15689741C2semidirect
25. C2×#15689738C2semidirect
26. C2×#15689733C2semidirect
27. C2×#15689732C2semidirect
28. C2×#15689716C2semidirect
29. C2×#15689675C2semidirect
30. C2×#15689653C2semidirect
31. C2×#15689650C2semidirect
32. C2×C47×#539C2semidirect
33. #15689876C22semidirect
34. #15689875C22semidirect
35. #15689870C22semidirect
36. #15689868C22semidirect
37. #15689850C22semidirect
38. #15689843C22semidirect
39. #15689840C22semidirect
40. #15689840C22semidirect
41. #15689837C22semidirect
42. #15689828C22semidirect
43. #15689822C22semidirect
44. #15689818C22semidirect
45. #15689810C22semidirect
46. #15689809C22semidirect
47. #15689808C22semidirect
48. #15689805C22semidirect
49. #15689753C22semidirect
50. #15689752C22semidirect
51. #15689746C22semidirect
52. #15689743C22semidirect
53. #15689743C22semidirect
54. #15689741C22semidirect
55. #15689741C22semidirect
56. #15689738C22semidirect
57. #15689733C22semidirect
58. #15689732C22semidirect
59. #15689716C22semidirect
60. #15689675C22semidirect
71. #15689653C22semidirect
72. #15689650C22semidirect
203. C47×#539C22semidirect
937. C2×#539D47semidirect
944. C2×C47#3565semidirect
977. #539C2×D47semidirect
1136. C47C2×#3565semidirect
1831. C2#20258032direct (N × H)

Maximal subgroups

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

subgroupindex
#202580322
C2×#156898762
C2×#156898752
C2×#156898702
C2×#156898682
C2×#156898502
C2×#156898432
C2×#156898402
C2×#156898372
C2×#156898282
C2×#156898222
C2×#156898182
C2×#156898102
C2×#156898092
C2×#156898082
C2×#156898052
C2×#156897532
C2×#156897522
C2×#156897462
C2×#156897432
C2×#156897412
C2×#156897382
C2×#156897332
C2×#156897322
C2×#156897162
C2×#156896752
C2×#156896532
C2×#156896502
C2×C47×#5392
C2×#356547