Finite Group Databasebeta

← C2×#20257836 #27124041

Subgroups — C2×#20257836 #27124041

Order 12032.

6566 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#20257836C2132yesmaximal, direct product factor
2C2×C47⋊#564C211yesmaximal, characteristic, complemented
3C2×#15689876C211yesmaximal, characteristic, complemented
4C2×#15689875C211yesmaximal, characteristic, complemented
5C2×#15689868C211yesmaximal, characteristic, complemented
6C2×#15689832C211yesmaximal, characteristic, complemented
7C2×#15689832C211yesmaximal, characteristic, complemented
8C2×#15689830C211yesmaximal, characteristic, complemented
9C2×#15689828C211yesmaximal, characteristic, complemented
10C2×#15689825C211yesmaximal, characteristic, complemented
11C2×#15689816C211yesmaximal, characteristic, complemented
12C2×#15689816C211yesmaximal, characteristic, complemented
13C2×#15689813C211yesmaximal, characteristic, complemented
14C2×#15689810C211yesmaximal, characteristic, complemented
15C2×#15689809C211yesmaximal, characteristic, complemented
16C2×#15689806C211yesmaximal, characteristic, complemented
17C2×#15689735C211yesmaximal, characteristic, complemented
18C2×#15689732C211yesmaximal, characteristic, complemented
19C2×#15689730C211yesmaximal, characteristic, complemented
20C2×#15689730C211yesmaximal, characteristic, complemented
21C2×#15689718C211yesmaximal, characteristic, complemented
22C2×#15689718C211yesmaximal, characteristic, complemented
23C2×#15689718C211yesmaximal, characteristic, complemented
24C2×#15689717C211yesmaximal, characteristic, complemented
25C2×#15689716C211yesmaximal, characteristic, complemented
26C2×#15689715C211yesmaximal, characteristic, complemented
27C2×#15689715C211yesmaximal, characteristic, complemented
28C2×#15689715C211yesmaximal, characteristic, complemented
29C2×#15689654C211yesmaximal, characteristic, complemented
30C2×#15689653C211yesmaximal, characteristic, complemented
31C22×#13094014C211yesmaximal, characteristic, complemented
32C2×C47×#553C211yesmaximal, characteristic, complemented
33C47⋊#564C22116yescomplemented
34#15689876C22116yescomplemented
35#15689875C22116yescomplemented
36#15689868C22116yescomplemented
37#15689832C22116yescomplemented
38#15689832C22116yescomplemented
39#15689830C22116yescomplemented
40#15689828C22116yescomplemented
41#15689825C22116yescomplemented
42#15689816C22116yescomplemented
43#15689816C22116yescomplemented
44#15689813C22116yescomplemented
45#15689810C22116yescomplemented
46#15689809C22116yescomplemented
47#15689806C22116yescomplemented
48#15689735C22116yescomplemented
49#15689732C22116yescomplemented
50#15689730C22116yescomplemented
51#15689730C22116yescomplemented
52#15689718C22116yescomplemented
53#15689718C22116yescomplemented
54#15689718C22116yescomplemented
55#15689717C22116yescomplemented
56#15689716C22116yescomplemented
57#15689715C22116yescomplemented
58#15689715C22116yescomplemented
59#15689715C22116yescomplemented
60C2×#13094024C2211yescharacteristic
61C2×#13094023C2211yescharacteristic
62C2×#13094023C2211yescharacteristic
63C2×#13094023C2211yescharacteristic
64#15689654C22116yescomplemented
65#15689653C22116yescomplemented
66C2×#13094019C2211yescharacteristic
67C2×#13094019C2211yescharacteristic
68C2×#13094019C2211yescharacteristic
69C2×#13094018C2211yescharacteristic
70C2×#13094018C2211yescharacteristic
71C2×#13094017C2211yescharacteristic
72C2×#13094017C2211yescharacteristic
73C2×#13094017C2211yescharacteristic
74C2×#13094017C2211yescharacteristic
75C2×#13094017C2211yescharacteristic
76C2×#13094017C2211yescharacteristic
77C2×#13094017C2211yescharacteristic
78C2×#13094017C2211yescharacteristic
79C2×#13094017C2211yescharacteristic
80C2×#13094017C2211yescharacteristic
81C2×#13094017C2211yescharacteristic
82C2×#13094017C2211yescharacteristic
83C2×#13094017C2211yescharacteristic
84C2×#13094016C2211yescharacteristic
85C2×#13094016C2211yescharacteristic
86C2×#13094016C2211yescharacteristic
87C2×#13094016C2211yescharacteristic
88C2×#13094015C2211yescharacteristic
89C2×#13094015C2211yescharacteristic
90C2×#13094015C2211yescharacteristic
91C2×#13094015C2211yescharacteristic
92C2×#13094015C2211yescharacteristic
93C2×#13094015C2211yescharacteristic
94C2×#13094014C2211yescharacteristic
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×#13094014C2211yescharacteristic
108C2×#13094014C2211yescharacteristic
109C2×#13094014C2211yescharacteristic
110C2×#13094014C2211yescharacteristic
111C2×#13094014C2211yescharacteristic
112C2×#13094014C2211yescharacteristic
113C2×#13094014C22116yescomplemented
114C2×#13094011C2211yescharacteristic
115C2×#13094010C2211yescharacteristic
116C2×#13094008C2211yescharacteristic
117C2×#13094008C2211yescharacteristic
118C2×#13094008C2211yescharacteristic
119C2×#13094007C2211yescharacteristic
120C2×#13094007C2211yescharacteristic
121C2×#13094006C2211yescharacteristic
122C2×#13094006C2211yescharacteristic
123C2×#13094006C2211yescharacteristic
124C2×#13094006C2211yescharacteristic
125C2×#13094005C2211yescharacteristic
126C2×#13094005C2211yescharacteristic
127C2×#13094005C2211yescharacteristic
128C2×#13094005C2211yescharacteristic
129C2×#13094005C2211yescharacteristic
130C2×#13094005C2211yescharacteristic
131C2×#13094005C2211yescharacteristic
132C2×#13094005C2211yescharacteristic
133C2×#13094005C2211yescharacteristic
134C2×#13094004C2211yescharacteristic
135C2×#13094003C2211yescharacteristic
136C2×#13094003C2211yescharacteristic
137C2×#13094003C2211yescharacteristic
138C2×#13094003C2211yescharacteristic
139C2×#13094003C2211yescharacteristic
140C2×#13094003C2211yescharacteristic
141C2×#13094003C2211yescharacteristic
142C2×#13094003C2211yescharacteristic
143C2×#13094002C2211yescharacteristic
144C2×#13094002C2211yescharacteristic
145C2×#13094002C2211yescharacteristic
146C2×#13094002C2211yescharacteristic
147C2×#13094001C2211yescharacteristic
148C2×#13094001C2211yescharacteristic
149C2×#13094001C2211yescharacteristic
150C2×#13094001C2211yescharacteristic
151C2×#13094001C2211yescharacteristic
152C2×#13094001C2211yescharacteristic
153C2×#13094001C2211yescharacteristic
154C2×#13094001C2211yescharacteristic
155C2×#13094001C2211yescharacteristic
156C2×#13094001C2211yescharacteristic
157C2×#13094001C2211yescharacteristic
158C2×#13094001C2211yescharacteristic
159C2×#13094001C2211yescharacteristic
160C2×#13093996C2211yescharacteristic
161C2×#13093996C2211yescharacteristic
162C2×#13093996C2211yescharacteristic
163C2×#13093996C2211yescharacteristic
164C2×#13093996C2211yescharacteristic
165C2×#13093995C2211yescharacteristic
166C2×C4×Dic94C2211yescharacteristic
167C2×C4×Dic94C2211yescharacteristic
168C2×C4×Dic94C2211yescharacteristic
169C2×C4×Dic94C2211yescharacteristic
170C2×#13093989C2211yescharacteristic
171C2×#13093989C2211yescharacteristic
172C2×D4×Dic47C2211yescharacteristic
173C2×D4×Dic47C2211yescharacteristic
174C2×D4×Dic47C2211yescharacteristic
175C2×D4×Dic47C2211yescharacteristic
176C2×D4×Dic47C2211yescharacteristic
177C2×D4×Dic47C2211yescharacteristic
178C2×D4×Dic47C2211yescharacteristic
179C2×D4×Dic47C2211yescharacteristic
180C2×C4×C22⋊D47C2211yescharacteristic
181C2×C4×C22⋊D47C2211yescharacteristic
182C2×C4×C22⋊D47C2211yescharacteristic
183C2×C4×C22⋊D47C2211yescharacteristic
184C2×(C22⋊D47)⋊C4C2211yescharacteristic
185C2×(C22⋊D47)⋊C4C2211yescharacteristic
186C2×#13093983C2211yescharacteristic
187C2×#13093982C2211yescharacteristic
188C2×#13093981C2211yescharacteristic
189C2×#13093980C2211yescharacteristic
190C2×#13093980C2211yescharacteristic
191C2×#13093980C2211yescharacteristic
192C2×#13093980C2211yescharacteristic
193C22×C4⋊Dic47C2211yescharacteristic
194C22×C4⋊Dic47C2211yescharacteristic
195C22×Dic47⋊C4C2211yescharacteristic
196C22×Dic47⋊C4C2211yescharacteristic
197C22×Dic47⋊C4C2211yescharacteristic
198C22×Dic47⋊C4C2211yescharacteristic
199C22×Dic47⋊C4C2211yescharacteristic
200C22×Dic47⋊C4C2211yescharacteristic
201C2×C4⋊C4×D47C2211yescharacteristic
202C22×C4×Dic47C2211yescharacteristic
203C47×#553C22116yescomplemented
204C2×#126×C47C2211yescharacteristic
205C2×#126×C47C2211yescharacteristic
206C2×#125×C47C2211yescharacteristic
207C2×#123×C47C2211yescharacteristic
208C2×#123×C47C2211yescharacteristic
209C2×#121×C47C2211yescharacteristic
210C2×#121×C47C2211yescharacteristic
211C2×#121×C47C2211yescharacteristic
212C2×#121×C47C2211yescharacteristic
213C2×C4×D4×C47C2211yescharacteristic
214C2×C4×D4×C47C2211yescharacteristic
215C2×C4×D4×C47C2211yescharacteristic
216C2×C4×D4×C47C2211yescharacteristic
217C2×#117×C47C2211yescharacteristic
218C22×C4⋊C4×C47C2211yescharacteristic
219C22×Dic94C2311yescharacteristic
220C22×Dic94C2311yescharacteristic
221C22×Dic94C2311yescharacteristic
222C22×Dic94C2311yescharacteristic
223C22×Dic94C2311yescharacteristic
224C22×Dic94C2311yescharacteristic
225C22×C22⋊D47C2311yescharacteristic
226C22×C22⋊D47C2311yescharacteristic
227C22×C22⋊D47C2311yescharacteristic
228C22×C22⋊D47C2311yescharacteristic
229C23×Dic47C2311yescharacteristic
230C23×Dic47C2311yescharacteristic
231C23×Dic47C2311yescharacteristic
232C23×Dic47C2311yescharacteristic
233C23×Dic47C2311yescharacteristic
234C23×Dic47C2311yescharacteristic
235C23×Dic47C2311yescharacteristic
236C23×Dic47C2311yescharacteristic
237C23×Dic47C2311yescharacteristic
238C23×Dic47C2311yescharacteristic
239C22×C4×D47C2311yescharacteristic
240C22×C4×D47C2311yescharacteristic
241C22×C4×D47C2311yescharacteristic
242#13094024C2318yes—
243#13094023C2318yes—
244#13094023C2318yes—
245#13094023C2318yes—
246#13094019C2318yes—
247#13094019C2318yes—
248#13094019C2318yes—
249#13094018C2318yes—
250#13094018C2318yes—
251#13094017C2318yes—
252#13094017C2318yes—
253#13094017C2318yes—
254#13094017C2318yes—
255#13094017C2318yes—
256#13094017C2318yes—
257#13094017C2318yes—
258#13094017C2318yes—
259#13094017C2318yes—
260#13094017C2318yes—
261#13094017C2318yes—
262#13094017C2318yes—
263#13094017C2318yes—
264#13094016C2318yes—
265#13094016C2318yes—
266#13094016C2318yes—
267#13094016C2318yes—
268#13094015C2318yes—
269#13094015C2318yes—
270#13094015C2318yes—
271#13094015C2318yes—
272#13094015C2318yes—
273#13094015C2318yes—
274#13094014C2318yes—
275#13094014C2318yes—
276#13094014C2318yes—
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#13094014C2318yes—
290#13094014C2318yes—
291#13094014C2318yes—
292#13094014C2318yes—
293#13094011C2318yes—
294#13094010C2318yes—
295#13094008C2318yes—
296#13094008C2318yes—
297#13094008C2318yes—
298#13094007C2318yes—
299#13094007C2318yes—
300#13094006C2318yes—
301#13094006C2318yes—
302#13094006C2318yes—
303#13094006C2318yes—
304#13094005C2318yes—
305#13094005C2318yes—
306#13094005C2318yes—
307#13094005C2318yes—
308#13094005C2318yes—
309#13094005C2318yes—
310#13094005C2318yes—
311#13094005C2318yes—
312#13094005C2318yes—
313#13094004C2318yes—
314#13094003C2318yes—
315#13094003C2318yes—
316#13094003C2318yes—
317#13094003C2318yes—
318#13094003C2318yes—
319#13094003C2318yes—
320#13094003C2318yes—
321#13094003C2318yes—
322#13094002C2318yes—
323#13094002C2318yes—
324#13094002C2318yes—
325#13094002C2318yes—
326#13094001C2318yes—
327#13094001C2318yes—
328#13094001C2318yes—
329#13094001C2318yes—
330#13094001C2318yes—
331#13094001C2318yes—
332#13094001C2318yes—
333#13094001C2318yes—
334#13094001C2318yes—
335#13094001C2318yes—
336#13094001C2318yes—
337#13094001C2318yes—
338#13094001C2318yes—
339#13093996C2318yes—
340#13093996C2318yes—
341#13093996C2318yes—
342#13093996C2318yes—
343#13093996C2318yes—
344#13093995C2318yes—
345C4×Dic94C2318yes—
346C4×Dic94C2318yes—
347C4×Dic94C2318yes—
348C4×Dic94C2318yes—
349#13093989C2318yes—
350#13093989C2318yes—
351D4×Dic47C2318yes—
352D4×Dic47C2318yes—
353D4×Dic47C2318yes—
354D4×Dic47C2318yes—
355D4×Dic47C2318yes—
356D4×Dic47C2318yes—
357D4×Dic47C2318yes—
358D4×Dic47C2318yes—
359C4×C22⋊D47C2318yes—
360C4×C22⋊D47C2318yes—
361C4×C22⋊D47C2318yes—
362C4×C22⋊D47C2318yes—
363(C22⋊D47)⋊C4C2318yes—
364(C22⋊D47)⋊C4C2318yes—
365#13093983C2318yes—
366#13093982C2318yes—
367#13093981C2318yes—
368#13093980C2318yes—
369#13093980C2318yes—
370#13093980C2318yes—
371#13093980C2318yes—
372C2×C4⋊Dic47C2318yes—
373C2×C4⋊Dic47C2318yes—
374C2×C4⋊Dic47C2311yescharacteristic
375C2×C4⋊Dic47C2311yescharacteristic
376C2×C4⋊Dic47C2311yescharacteristic
377C2×C4⋊Dic47C2311yescharacteristic
378C2×C4⋊Dic47C2311yescharacteristic
379C2×C4⋊Dic47C2311yescharacteristic
380C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2318yes—
393C2×Dic47⋊C4C2318yes—
394C2×Dic47⋊C4C2318yes—
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⋊C4C2318yes—
421C2×Dic47⋊C4C2318yes—
422C2×Dic47⋊C4C2311yescharacteristic
423C2×Dic47⋊C4C2311yescharacteristic
424C2×Dic47⋊C4C2311yescharacteristic
425C2×Dic47⋊C4C2311yescharacteristic
426C2×Dic47⋊C4C2311yescharacteristic
427C2×Dic47⋊C4C2311yescharacteristic
428C2×Dic47⋊C4C2311yescharacteristic
429C2×Dic47⋊C4C2311yescharacteristic
430C2×Dic47⋊C4C2311yescharacteristic
431C2×Dic47⋊C4C2311yescharacteristic
432C2×Dic47⋊C4C2311yescharacteristic
433C2×Dic47⋊C4C2311yescharacteristic
434C2×Dic47⋊C4C2311yescharacteristic
435C2×Dic47⋊C4C2311yescharacteristic
436C2×Dic47⋊C4C2311yescharacteristic
437C2×Dic47⋊C4C2311yescharacteristic
438C4⋊C4×D47C2318yes—
439C2×C22⋊Dic47C2311yescharacteristic
440C2×C22⋊Dic47C2311yescharacteristic
441C2×C22⋊Dic47C2311yescharacteristic
442C2×C22⋊Dic47C2311yescharacteristic
443C2×C22⋊Dic47C2311yescharacteristic
444C2×C22⋊Dic47C2311yescharacteristic
445C2×C22⋊Dic47C2311yescharacteristic
446C2×C22⋊Dic47C2311yescharacteristic
447C2×C22⋊Dic47C2311yescharacteristic
448C2×C22⋊Dic47C2311yescharacteristic
449C2×C22⋊Dic47C2311yescharacteristic
450C2×C22⋊Dic47C2311yescharacteristic
451C2×C22⋊Dic47C2311yescharacteristic
452C2×C22⋊Dic47C2311yescharacteristic
453C2×C22⋊Dic47C2311yescharacteristic
454C2×C22⋊Dic47C2311yescharacteristic
455C2×C22⋊Dic47C2311yescharacteristic
456C2×C22⋊Dic47C2311yescharacteristic
457C2×(C2×D47)⋊C4C2311yescharacteristic
458C2×(C2×D47)⋊C4C2311yescharacteristic
459C2×(C2×D47)⋊C4C2311yescharacteristic
460C2×(C2×D47)⋊C4C2311yescharacteristic
461C2×(C2×D47)⋊C4C2311yescharacteristic
462C2×(C2×D47)⋊C4C2311yescharacteristic
463C2×(C2×D47)⋊C4C2311yescharacteristic
464C2×(C2×D47)⋊C4C2311yescharacteristic
465C2×C4×Dic47C2311yescharacteristic
466C2×C4×Dic47C2311yescharacteristic
467C2×C4×Dic47C2311yescharacteristic
468C2×C4×Dic47C2311yescharacteristic
469C2×C4×Dic47C2318yes—
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×D4×C47C2311yescharacteristic
480C22×D4×C47C2311yescharacteristic
481C22×D4×C47C2311yescharacteristic
482C22×D4×C47C2311yescharacteristic
483C22×D4×C47C2311yescharacteristic
484C22×D4×C47C2311yescharacteristic
485C23×C4×C47C2311yescharacteristic
486C23×C4×C47C2311yescharacteristic
487C23×C4×C47C2311yescharacteristic
488C23×C4×C47C2311yescharacteristic
489C23×C4×C47C2311yescharacteristic
490C23×C4×C47C2311yescharacteristic
491#126×C47C2318yes—
492#126×C47C2318yes—
493#125×C47C2318yes—
494#123×C47C2318yes—
495#123×C47C2318yes—
496#121×C47C2318yes—
497#121×C47C2318yes—
498#121×C47C2318yes—
499#121×C47C2318yes—
500C4×D4×C47C2318yes—
501C4×D4×C47C2318yes—
502C4×D4×C47C2318yes—
503C4×D4×C47C2318yes—
504#117×C47C2318yes—
505C2×C4⋊C4×C47C2311yescharacteristic
506C2×C4⋊C4×C47C2311yescharacteristic
507C2×C4⋊C4×C47C2311yescharacteristic
508C2×C4⋊C4×C47C2311yescharacteristic
509C2×C4⋊C4×C47C2318yes—
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×C22⋊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×C42×C47C2311yescharacteristic
527C2×C42×C47C2311yescharacteristic
528C2×C42×C47C2311yescharacteristic
529C24×C47C2411yescharacteristic
530C24×C47C2411yescharacteristic
531C24×C47C2411yescharacteristic
532C24×C47C2411yescharacteristic
533C23×D47C2411yescharacteristic
534C2×D4×C47—24no—
535C2×D4×C47—24no—
536C2×D4×C47—24no—
537C2×D4×C47—42no—
538C2×D4×C47—42no—
539C2×D4×C47—42no—
540C2×D4×C47C2414yes—
541C2×D4×C47C2414yes—
542C2×D4×C47C2414yes—
543C2×D4×C47C2414yes—
544C2×D4×C47C2414yes—
545C2×D4×C47C2414yes—
546C22×C4×C47—42no—
547C22×C4×C47—42no—
548C22×C4×C47—42no—
549C22×C4×C47—42no—
550C22×C4×C47—42no—
551C22×C4×C47—42no—
552C22×C4×C47C2411yescharacteristic
553C22×C4×C47C2411yescharacteristic
554C22×C4×C47C2411yescharacteristic
555C22×C4×C47C2411yescharacteristic
556C22×C4×C47C2411yescharacteristic
557C22×C4×C47C2411yescharacteristic
558C22×C4×C47C2411yescharacteristic
559C22×C4×C47C2411yescharacteristic
560C22×C4×C47C2411yescharacteristic
561C22×C4×C47C2411yescharacteristic
562C22×C4×C47C2411yescharacteristic
563C22×C4×C47C2414yes—
564C22×C4×C47C2414yes—
565C22×C4×C47C2414yes—
566C22×C4×C47C2414yes—
567C22×C4×C47C2414yes—
568C22×C4×C47C2414yes—
569C2×C22⋊D47—24no—
570C2×C22⋊D47—42no—
571C2×C22⋊D47—42no—
572C2×C22⋊D47—42no—
573C2×C22⋊D47C2414yes—
574C2×C22⋊D47C2414yes—
575C2×C22⋊D47C2414yes—
576C2×C22⋊D47C2414yes—
577C22×Dic47—24no—
578C22×Dic47—42no—
579C22×Dic47—42no—
580C22×Dic47—42no—
581C22×Dic47—42no—
582C22×Dic47—42no—
583C22×Dic47—42no—
584C22×Dic47—42no—
585C22×Dic47—42no—
586C22×Dic47—42no—
587C22×Dic47C2411yescharacteristic
588C22×Dic47C2411yescharacteristic
589C22×Dic47C2411yescharacteristic
590C22×Dic47C2411yescharacteristic
591C22×Dic47C2411yescharacteristic
592C22×Dic47C2411yescharacteristic
593C22×Dic47C2411yescharacteristic
594C22×Dic47C2411yescharacteristic
595C22×Dic47C2414yes—
596C22×Dic47C2411yescharacteristic
597C22×Dic47C2411yescharacteristic
598C22×Dic47C2411yescharacteristic
599C22×Dic47C2411yescharacteristic
600C22×Dic47C2411yescharacteristic
601C22×Dic47C2411yescharacteristic
602C22×Dic47C2411yescharacteristic
603C22×Dic47C2414yes—
604C22×Dic47C2414yes—
605C22×Dic47C2414yes—
606C22×Dic47C2414yes—
607C22×Dic47C2414yes—
608C22×Dic47C2414yes—
609C22×Dic47C2414yes—
610C22×Dic47C2414yes—
611C22×Dic47C2414yes—
612C2×C4×D47—42no—
613C2×C4×D47—42no—
614C2×C4×D47—42no—
615C2×C4×D47C2414yes—
616C2×C4×D47C2414yes—
617C2×C4×D47C2414yes—
618C2×Dic94—42no—
619C2×Dic94—42no—
620C2×Dic94—42no—
621C2×Dic94—42no—
622C2×Dic94—42no—
623C2×Dic94—42no—
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—
640C22⋊C4×C47C2414yes—
641C22⋊C4×C47C2414yes—
642C22⋊C4×C47C2414yes—
643C22⋊C4×C47C2414yes—
644C22⋊C4×C47C2414yes—
645C22⋊C4×C47C2414yes—
646C22⋊C4×C47C2414yes—
647C22⋊C4×C47C2414yes—
648C22⋊C4×C47C2414yes—
649C22⋊C4×C47C2414yes—
650C42×C47C2414yes—
651C42×C47C2414yes—
652C42×C47C2414yes—
653C22⋊Dic47C2414yes—
654C22⋊Dic47C2414yes—
655C22⋊Dic47C2414yes—
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—
670C22⋊Dic47C2414yes—
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—
679C4⋊Dic47C2414yes—
680C4⋊Dic47C2414yes—
681C4⋊Dic47C2414yes—
682C4⋊Dic47C2414yes—
683C4⋊Dic47C2414yes—
684C4⋊Dic47C2414yes—
685C4⋊Dic47C2414yes—
686C4⋊Dic47C2414yes—
687C4⋊Dic47C2414yes—
688C4⋊Dic47C2414yes—
689C4⋊Dic47C2414yes—
690C4⋊Dic47C2414yes—
691C4⋊Dic47C2414yes—
692C4⋊Dic47C2414yes—
693C4⋊Dic47C2414yes—
694C4⋊Dic47C2414yes—
695C4⋊Dic47C2414yes—
696C4⋊Dic47C2414yes—
697Dic47⋊C4C2414yes—
698Dic47⋊C4C2414yes—
699Dic47⋊C4C2414yes—
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—
732Dic47⋊C4C2414yes—
733Dic47⋊C4C2414yes—
734Dic47⋊C4C2414yes—
735Dic47⋊C4C2414yes—
736Dic47⋊C4C2414yes—
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×C47—22no—
760C23×C47—22no—
761C23×C472−1+414yes—
762C23×C47C2512yes—
763C23×C47C2512yes—
764C23×C47C2512yes—
765C23×C47C2512yes—
766C23×C47C2511yescharacteristic
767C22×D47—22no—
768C22×D47—22no—
769C22×D47—22no—
770C22×D47C2512yes—
771D4×C47—28no—
772D4×C47—28no—
773D4×C47—28no—
774D4×C47—44no—
775D4×C47—44no—
776D4×C47—44no—
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—22no—
788C2×C4×C47—44no—
789C2×C4×C47—44no—
790C2×C4×C47—44no—
791C2×C4×C47—44no—
792C2×C4×C47—44no—
793C2×C4×C47—44no—
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—
804C2×C4×C47C2512yes—
805C22⋊D47—28no—
806C22⋊D47—44no—
807C22⋊D47—44no—
808C22⋊D47—44no—
809C2×Dic47—28no—
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—22no—
824C2×Dic47—22no—
825C2×Dic47—44no—
826C2×Dic47—44no—
827C2×Dic47—44no—
828C2×Dic47—44no—
829C2×Dic47—44no—
830C2×Dic47—44no—
831C2×Dic47—44no—
832C2×Dic47—44no—
833C2×Dic47—44no—
834C2×Dic47C2512yes—
835C2×Dic47C2512yes—
836C2×Dic47C2512yes—
837C2×Dic47C2512yes—
838C2×Dic47C2512yes—
839C2×Dic47C2512yes—
840C2×Dic47C2512yes—
841C2×Dic47C2512yes—
842C2×Dic47C2512yes—
843C2×Dic47C2512yes—
844C2×Dic47C2512yes—
845C2×Dic47C2512yes—
846C2×Dic47C2512yes—
847C2×Dic47C2512yes—
848C2×Dic47C2512yes—
849C4×D47—44no—
850C4×D47—44no—
851C4×D47—44no—
852Dic94—44no—
853Dic94—44no—
854Dic94—44no—
855Dic94—44no—
856Dic94—44no—
857Dic94—44no—
858C2×#3553—471nomaximal, Sylow
859C22×C47—22no—
860C22×C47—22no—
861C22×C47—28no—
862C22×C47—22no—
863C22×C47—22no—
864C22×C47—22no—
865C22×C47—22no—
866C22×C47—22no—
867C22×C47—22no—
868C22×C47—22no—
869C22×C47—22no—
870C22×C47—22no—
871C22×C47—44no—
872C22×C47—44no—
873C22×C47—44no—
874C22×C47C2×2−1+414yes—
875C22×C47C2×2−1+412yes—
876C22×C47#58512yes—
877C22×C47#58512yes—
878C22×C47C2611yescharacteristic
879C2×D47—22no—
880C2×D47—22no—
881C2×D47—22no—
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—
894Dic47—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—
908Dic47—22no—
909#3553—4732no—
910C2×#564—471no—
911C2×#563—471no—
912C2×#563—471no—
913C2×#562—471no—
914C2×#554—471no—
915C2×#554—471no—
916C2×#554—471no—
917C2×#554—471no—
918C2×#553—471no—
919C2×#553—471no—
920C2×#553—471no—
921C2×#553D4711yescharacteristic, complemented
922C2×#552—471no—
923C2×#552—471no—
924C2×#552—471no—
925C2×#552—471no—
926C2×#541—471no—
927C2×#541—471no—
928C2×#541—471no—
929C2×#541—471no—
930C2×#539—471no—
931C2×#539—471no—
932C2×#539—471no—
933C2×#539—471no—
934C2×#539—471no—
935C2×#539—471no—
936C2×#539—471no—
937C2×#539—471no—
938C2×#529—471no—
939C2×#529—471no—
940C22×#125—471no—
941C2×C47—24no—
942C2×C47—42no—
943C2×C47—42no—
944C2×C47—42no—
945C2×C47#355314yescomplemented
946C2×C47C22×2−1+411yescharacteristic
947C2×C47C2×#58511yescharacteristic
948C2×C47C2×#58511yescharacteristic
949D47—42no—
950#564—4716no—
951#563—4716no—
952#563—4716no—
953#562—4716no—
954#554—4716no—
955#554—4716no—
956#554—4716no—
957#554—4716no—
958#553—4716no—
959#553—4716no—
960#553—4716no—
961#553C2×D47116yescomplemented
962#552—4716no—
963#552—4716no—
964#552—4716no—
965#552—4716no—
966#541—4716no—
967#541—4716no—
968#541—4716no—
969#541—4716no—
970#539—4716no—
971#539—4716no—
972#539—4716no—
973#539—4716no—
974#539—4716no—
975#539—4716no—
976#539—4716no—
977#539—4716no—
978C2×C4⋊Q8—471no—
979C2×C4⋊Q8—471no—
980C2×C4⋊Q8—471no—
981C2×C4⋊Q8—471no—
982#529—4716no—
983#529—4716no—
984C2×#126—471no—
985C2×#126—471no—
986C2×#126—471no—
987C2×#126—471no—
988C2×#126—471no—
989C2×#126—471no—
990C2×#126—471no—
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×#126C2×D4711yescharacteristic
1003C2×#126C2×D4711yescharacteristic
1004C2×#125—471no—
1005C2×#125—471no—
1006C2×#125—471no—
1007C2×#125—471no—
1008C2×#125—471no—
1009C2×#125—471no—
1010C2×#125—471no—
1011C2×#125—471no—
1012C2×#125—4716no—
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×#125—471no—
1028C2×#125—471no—
1029C2×#125—471no—
1030C2×#125—471no—
1031C2×#125—471no—
1032C2×#125—471no—
1033C2×#125—471no—
1034C2×#125C2×D4711yescharacteristic
1035C2×#124—471no—
1036C2×#124—471no—
1037C2×#123—471no—
1038C2×#123—471no—
1039C2×#123—471no—
1040C2×#123—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×#123—471no—
1054C2×#123—471no—
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⋊Q8—471no—
1081C2×C22⋊Q8—471no—
1082C2×C22⋊Q8—471no—
1083C2×#121—471no—
1084C2×#121—471no—
1085C2×#121—471no—
1086C2×#121—471no—
1087C2×#121—471no—
1088C2×#121—471no—
1089C2×#121C2×D4711yescharacteristic
1090C2×#121C2×D4711yescharacteristic
1091C2×#121C2×D4711yescharacteristic
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×D4—471no—
1100C2×C4×D4—471no—
1101C2×C4×D4—471no—
1102C2×C4×D4—471no—
1103C2×C4×D4—471no—
1104C2×C4×D4—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×D4C2×D4711yescharacteristic
1114C2×C4×D4C2×D4711yescharacteristic
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×#117C2×D4711yescharacteristic
1125C22×C4⋊C4—471no—
1126C22×C4⋊C4—471no—
1127C22×C4⋊C4—471no—
1128C22×C4⋊C4—471no—
1129C22×C4⋊C4—471no—
1130C22×C4⋊C4—471no—
1131C22×C4⋊C4—471no—
1132C22×C4⋊C4—471no—
1133C22×C4⋊C4—471no—
1134C22×C4⋊C4C2×D4711yescharacteristic
1135C22×C42—471no—
1136C47C2×#355311yescharacteristic, complemented, Sylow
1137C22×Q8—471no—
1138C22×Q8—471no—
1139C22×Q8—471no—
1140C22×Q8—471no—
1141C22×Q8—471no—
1142C22×Q8—471no—
1143C22×D4—471no—
1144C22×D4—471no—
1145C22×D4—471no—
1146C22×D4—471no—
1147C22×D4C22×D4711yescharacteristic
1148C22×D4C22×D4711yescharacteristic
1149C22×D4C22×D4711yescharacteristic
1150C22×D4C22×D4711yescharacteristic
1151C22×D4C22×D4711yescharacteristic
1152C22×D4C22×D4711yescharacteristic
1153C23×C4—471no—
1154C23×C4—471no—
1155C23×C4—471no—
1156C23×C4—471no—
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×C4C22×D4711yescharacteristic
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—
1176#126—478no—
1177#126—478no—
1178#126—478no—
1179#126—478no—
1180#126—478no—
1181#126—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#126C22×D4718yes—
1195#126C22×D4718yes—
1196#125—478no—
1197#125—478no—
1198#125—478no—
1199#125—478no—
1200#125—478no—
1201#125—478no—
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#125—478no—
1219#125—478no—
1220#125—478no—
1221#125—478no—
1222#125—478no—
1223#125—478no—
1224#125—478no—
1225#125C22×D4718yes—
1226#124—478no—
1227#124—478no—
1228#123—478no—
1229#123—478no—
1230#123—478no—
1231#123—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#123—478no—
1245#123—478no—
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⋊Q8—478no—
1272C22⋊Q8—478no—
1273C22⋊Q8—478no—
1274#121—478no—
1275#121—478no—
1276#121—478no—
1277#121—478no—
1278#121—478no—
1279#121—478no—
1280#121C22×D4718yes—
1281#121C22×D4718yes—
1282#121C22×D4718yes—
1283#121C22×D4718yes—
1284C4×Q8—478no—
1285C4×Q8—478no—
1286C4×Q8—478no—
1287C4×Q8—478no—
1288C4×Q8—478no—
1289C4×Q8—478no—
1290C4×D4—478no—
1291C4×D4—478no—
1292C4×D4—478no—
1293C4×D4—478no—
1294C4×D4—478no—
1295C4×D4—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×D4C22×D4718yes—
1305C4×D4C22×D4718yes—
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#117C22×D4718yes—
1316C2×C4⋊C4—471no—
1317C2×C4⋊C4—471no—
1318C2×C4⋊C4—471no—
1319C2×C4⋊C4—471no—
1320C2×C4⋊C4—471no—
1321C2×C4⋊C4—471no—
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—471no—
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—478no—
1349C2×C4⋊C4—478no—
1350C2×C4⋊C4—478no—
1351C2×C4⋊C4—478no—
1352C2×C4⋊C4—478no—
1353C2×C4⋊C4—478no—
1354C2×C4⋊C4—478no—
1355C2×C4⋊C4—478no—
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—471no—
1370C2×C4⋊C4—471no—
1371C2×C4⋊C4—471no—
1372C2×C4⋊C4—471no—
1373C2×C4⋊C4—471no—
1374C2×C4⋊C4—471no—
1375C2×C4⋊C4—471no—
1376C2×C4⋊C4—471no—
1377C2×C4⋊C4—471no—
1378C2×C4⋊C4—471no—
1379C2×C4⋊C4—471no—
1380C2×C4⋊C4—471no—
1381C2×C4⋊C4—471no—
1382C2×C4⋊C4—478no—
1383C2×C4⋊C4C22×D4711yescharacteristic
1384C2×C4⋊C4C22×D4711yescharacteristic
1385C2×C4⋊C4C22×D4711yescharacteristic
1386C2×C4⋊C4C22×D4711yescharacteristic
1387C2×C4⋊C4C22×D4718yes—
1388C2×C4⋊C4C22×D4711yescharacteristic
1389C2×C4⋊C4C22×D4711yescharacteristic
1390C2×C4⋊C4C22×D4711yescharacteristic
1391C2×C4⋊C4C22×D4711yescharacteristic
1392C2×C4⋊C4C22×D4711yescharacteristic
1393C2×C4⋊C4C22×D4711yescharacteristic
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⋊C4—471no—
1417C2×C22⋊C4—471no—
1418C2×C22⋊C4—471no—
1419C2×C22⋊C4—471no—
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×C22⋊C4C22×D4711yescharacteristic
1427C2×C22⋊C4C22×D4711yescharacteristic
1428C2×C22⋊C4C22×D4711yescharacteristic
1429C2×C22⋊C4C22×D4711yescharacteristic
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—478no—
1444C2×C42C22×D4711yescharacteristic
1445C2×C42C22×D4711yescharacteristic
1446C2×C42C22×D4711yescharacteristic
1447C24—471no—
1448C24C23×D4711yescharacteristic
1449C24C23×D4711yescharacteristic
1450C24C23×D4711yescharacteristic
1451C24C23×D4711yescharacteristic
1452C2×Q8—474no—
1453C2×Q8—474no—
1454C2×Q8—474no—
1455C2×Q8—474no—
1456C2×Q8—474no—
1457C2×Q8—474no—
1458C2×Q8—1882no—
1459C2×Q8—1882no—
1460C2×Q8—1882no—
1461C2×Q8—1882no—
1462C2×Q8—1882no—
1463C2×Q8—1882no—
1464C2×D4—24no—
1465C2×D4—24no—
1466C2×D4—24no—
1467C2×D4—42no—
1468C2×D4—42no—
1469C2×D4—42no—
1470C2×D4—474no—
1471C2×D4—474no—
1472C2×D4—474no—
1473C2×D4—474no—
1474C2×D4—944no—
1475C2×D4—1882no—
1476C2×D4—1882no—
1477C2×D4—1882no—
1478C2×D4C23×D4714yes—
1479C2×D4C23×D4714yes—
1480C2×D4C23×D4714yes—
1481C2×D4C23×D4714yes—
1482C2×D4C23×D4714yes—
1483C2×D4C23×D4714yes—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—474no—
1491C22×C4—471no—
1492C22×C4—471no—
1493C22×C4—471no—
1494C22×C4—471no—
1495C22×C4—471no—
1496C22×C4—471no—
1497C22×C4—471no—
1498C22×C4—471no—
1499C22×C4—471no—
1500C22×C4—471no—
1501C22×C4—471no—
1502C22×C4—471no—
1503C22×C4—471no—
1504C22×C4—471no—
1505C22×C4—471no—
1506C22×C4—474no—
1507C22×C4—474no—
1508C22×C4—474no—
1509C22×C4—474no—
1510C22×C4—474no—
1511C22×C4—474no—
1512C22×C4—474no—
1513C22×C4—474no—
1514C22×C4—474no—
1515C22×C4—474no—
1516C22×C4—474no—
1517C22×C4—474no—
1518C22×C4—944no—
1519C22×C4—1882no—
1520C22×C4—1882no—
1521C22×C4—1882no—
1522C22×C4—1882no—
1523C22×C4—1882no—
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×D4714yes—
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⋊C4—474no—
1595C4⋊C4—474no—
1596C4⋊C4—474no—
1597C4⋊C4—474no—
1598C4⋊C4—474no—
1599C4⋊C4—474no—
1600C4⋊C4—474no—
1601C4⋊C4—474no—
1602C4⋊C4—474no—
1603C4⋊C4—474no—
1604C4⋊C4—474no—
1605C4⋊C4—474no—
1606C4⋊C4C23×D4714yes—
1607C4⋊C4C23×D4714yes—
1608C4⋊C4C23×D4714yes—
1609C4⋊C4C23×D4714yes—
1610C4⋊C4C23×D4714yes—
1611C4⋊C4C23×D4714yes—
1612C4⋊C4C23×D4714yes—
1613C4⋊C4C23×D4714yes—
1614C4⋊C4C23×D4714yes—
1615C4⋊C4C23×D4714yes—
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⋊C4—474no—
1639C22⋊C4—474no—
1640C22⋊C4—474no—
1641C22⋊C4—474no—
1642C22⋊C4C23×D4714yes—
1643C22⋊C4C23×D4714yes—
1644C22⋊C4C23×D4714yes—
1645C22⋊C4C23×D4714yes—
1646C22⋊C4C23×D4714yes—
1647C22⋊C4C23×D4714yes—
1648C22⋊C4C23×D4714yes—
1649C22⋊C4C23×D4714yes—
1650C22⋊C4C23×D4714yes—
1651C22⋊C4C23×D4714yes—
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—
1665C42C23×D4714yes—
1666C42C23×D4714yes—
1667C42C23×D4714yes—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—472no—
1680C23—942no—
1681C23—942no—
1682C23—942no—
1683C23#1309407114yes—
1684C23C24×D4712yes—
1685C23C24×D4712yes—
1686C23C24×D4712yes—
1687C23C24×D4712yes—
1688C23C24×D4711yescharacteristic
1689Q8—1884no—
1690Q8—1884no—
1691Q8—1884no—
1692Q8—1884no—
1693Q8—1884no—
1694Q8—1884no—
1695D4—28no—
1696D4—28no—
1697D4—28no—
1698D4—44no—
1699D4—44no—
1700D4—44no—
1701D4—948no—
1702D4—1884no—
1703D4—1884no—
1704D4—1884no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—472no—
1723C2×C4—472no—
1724C2×C4—472no—
1725C2×C4—472no—
1726C2×C4—472no—
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—948no—
1738C2×C4—942no—
1739C2×C4—942no—
1740C2×C4—942no—
1741C2×C4—942no—
1742C2×C4—942no—
1743C2×C4—942no—
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—1884no—
1754C2×C4—1884no—
1755C2×C4—1884no—
1756C2×C4—1884no—
1757C2×C4—1884no—
1758C2×C4—1884no—
1759C2×C4—1884no—
1760C2×C4—1884no—
1761C2×C4—1884no—
1762C2×C4—1884no—
1763C2×C4—1884no—
1764C2×C4—1884no—
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—28no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—44no—
1789C22—44no—
1790C22—44no—
1791C22—942no—
1792C22—942no—
1793C22—942no—
1794C22—1884no—
1795C22C2×#1309407114yes—
1796C22C2×#1309407112yes—
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—942no—
1812C4—942no—
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—24no—
1827C2—42no—
1828C2—42no—
1829C2—42no—
1830C2—1882no—
1831C2#2025783614yesdirect product factor
1832C2C22×#1309407111yescharacteristic
1833C2C2×#1568995811yescharacteristic
1834C2C2×#1568995911yescharacteristic
subgroupG/H
centerC23C24×D47
commutator, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC2×C47×#553C2
socleC23×C47C25
hypercenterC2×#553D47
hypocenterC47C2×#3553
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #20257836C2direct (N × H)
2. C2×C47⋊#564C2semidirect
3. C2×#15689876C2semidirect
4. C2×#15689875C2semidirect
5. C2×#15689868C2semidirect
6. C2×#15689832C2semidirect
7. C2×#15689832C2semidirect
8. C2×#15689830C2semidirect
9. C2×#15689828C2semidirect
10. C2×#15689825C2semidirect
11. C2×#15689816C2semidirect
12. C2×#15689816C2semidirect
13. C2×#15689813C2semidirect
14. C2×#15689810C2semidirect
15. C2×#15689809C2semidirect
16. C2×#15689806C2semidirect
17. C2×#15689735C2semidirect
18. C2×#15689732C2semidirect
19. C2×#15689730C2semidirect
20. C2×#15689730C2semidirect
21. C2×#15689718C2semidirect
22. C2×#15689718C2semidirect
23. C2×#15689718C2semidirect
24. C2×#15689717C2semidirect
25. C2×#15689716C2semidirect
26. C2×#15689715C2semidirect
27. C2×#15689715C2semidirect
28. C2×#15689715C2semidirect
29. C2×#15689654C2semidirect
30. C2×#15689653C2semidirect
31. C22×#13094014C2semidirect
32. C2×C47×#553C2semidirect
33. C47⋊#564C22semidirect
34. #15689876C22semidirect
35. #15689875C22semidirect
36. #15689868C22semidirect
37. #15689832C22semidirect
38. #15689832C22semidirect
39. #15689830C22semidirect
40. #15689828C22semidirect
41. #15689825C22semidirect
42. #15689816C22semidirect
43. #15689816C22semidirect
44. #15689813C22semidirect
45. #15689810C22semidirect
46. #15689809C22semidirect
47. #15689806C22semidirect
48. #15689735C22semidirect
49. #15689732C22semidirect
50. #15689730C22semidirect
51. #15689730C22semidirect
52. #15689718C22semidirect
53. #15689718C22semidirect
54. #15689718C22semidirect
55. #15689717C22semidirect
56. #15689716C22semidirect
57. #15689715C22semidirect
58. #15689715C22semidirect
59. #15689715C22semidirect
64. #15689654C22semidirect
65. #15689653C22semidirect
113. C2×#13094014C22semidirect
203. C47×#553C22semidirect
921. C2×#553D47semidirect
945. C2×C47#3553semidirect
961. #553C2×D47semidirect
1136. C47C2×#3553semidirect
1831. C2#20257836direct (N × H)

Maximal subgroups

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

subgroupindex
#202578362
C2×C47⋊#5642
C2×#156898762
C2×#156898752
C2×#156898682
C2×#156898322
C2×#156898302
C2×#156898282
C2×#156898252
C2×#156898162
C2×#156898132
C2×#156898102
C2×#156898092
C2×#156898062
C2×#156897352
C2×#156897322
C2×#156897302
C2×#156897182
C2×#156897172
C2×#156897162
C2×#156897152
C2×#156896542
C2×#156896532
C22×#130940142
C2×C47×#5532
C2×#355347