Finite Group Databasebeta

← C2×#24922074 #36311803

Subgroups — C2×#24922074 #36311803

Order 21248.

6598 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24922074C2132yesmaximal, direct product factor
2C2×#19128455C211yesmaximal, characteristic, complemented
3C2×#19128454C211yesmaximal, characteristic, complemented
4C2×#19128452C211yesmaximal, characteristic, complemented
5C2×#19128452C211yesmaximal, characteristic, complemented
6C2×#19128419C211yesmaximal, characteristic, complemented
7C2×#19128418C211yesmaximal, characteristic, complemented
8C2×#19128407C211yesmaximal, characteristic, complemented
9C2×#19128406C211yesmaximal, characteristic, complemented
10C2×#19128392C211yesmaximal, characteristic, complemented
11C2×#19128390C211yesmaximal, characteristic, complemented
12C2×#19128383C211yesmaximal, characteristic, complemented
13C2×#19128380C211yesmaximal, characteristic, complemented
14C2×#19128379C211yesmaximal, characteristic, complemented
15C2×#19128376C211yesmaximal, characteristic, complemented
16C2×#19128375C211yesmaximal, characteristic, complemented
17C2×#19128331C211yesmaximal, characteristic, complemented
18C2×#19128326C211yesmaximal, characteristic, complemented
19C2×#19128322C211yesmaximal, characteristic, complemented
20C2×#19128316C211yesmaximal, characteristic, complemented
21C2×#19128313C211yesmaximal, characteristic, complemented
22C2×#19128310C211yesmaximal, characteristic, complemented
23C2×#19128310C211yesmaximal, characteristic, complemented
24C2×#19128308C211yesmaximal, characteristic, complemented
25C2×#19128298C211yesmaximal, characteristic, complemented
26C2×#19128297C211yesmaximal, characteristic, complemented
27C2×#19128294C211yesmaximal, characteristic, complemented
28C2×#19128287C211yesmaximal, characteristic
29C2×#19128255C211yesmaximal, characteristic, complemented
30C2×#19128229C211yesmaximal, characteristic, complemented
31C2×#126×D83C211yesmaximal, characteristic, complemented
32C2×#552×C83C211yesmaximal, characteristic, complemented
33#19128455C22116yescomplemented
34#19128454C22116yescomplemented
35#19128452C22116yescomplemented
36#19128452C22116yescomplemented
37#19128419C22116yescomplemented
38#19128418C22116yescomplemented
39#19128407C22116yescomplemented
40#19128406C22116yescomplemented
41#19128392C22116yescomplemented
42#19128390C22116yescomplemented
43#19128383C22116yescomplemented
44#19128380C22116yescomplemented
45#19128379C22116yescomplemented
46#19128376C22116yescomplemented
47#19128375C22116yescomplemented
48#19128331C22116yescomplemented
49#19128326C22116yescomplemented
50#19128322C22116yescomplemented
51#19128316C22116yescomplemented
52#19128313C22116yescomplemented
53#19128310C22116yescomplemented
54#19128310C22116yescomplemented
55#19128308C22116yescomplemented
56#19128298C22116yescomplemented
57#19128297C22116yescomplemented
58#19128294C22116yescomplemented
59#19128287C22116yes—
60#19128255C22116yescomplemented
61C2×#14581792C2211yescharacteristic, complemented
62C2×#14581791C2211yescharacteristic, complemented
63C2×#14581791C2211yescharacteristic, complemented
64C2×#14581791C2211yescharacteristic, complemented
65C2×#14581791C2211yescharacteristic, complemented
66C2×#14581791C2211yescharacteristic, complemented
67C2×#14581791C2211yescharacteristic, complemented
68C2×#14581790C2211yescharacteristic, complemented
69#19128229C22116yescomplemented
70C2×#14581787C2211yescharacteristic
71C2×#14581787C2211yescharacteristic
72C2×#14581787C2211yescharacteristic
73C2×#14581787C2211yescharacteristic
74C2×#14581787C2211yescharacteristic
75C2×#14581787C2211yescharacteristic
76C2×#14581787C2211yescharacteristic, complemented
77C2×#14581787C2211yescharacteristic, complemented
78C2×#14581787C2211yescharacteristic, complemented
79C2×#14581787C2211yescharacteristic, complemented
80C2×#14581786C2211yescharacteristic
81C2×#14581786C2211yescharacteristic
82C2×#14581786C2211yescharacteristic
83C2×#14581785C2211yescharacteristic
84C2×#14581785C2211yescharacteristic
85C2×#14581785C2211yescharacteristic
86C2×#14581785C2211yescharacteristic
87C2×#14581785C2211yescharacteristic
88C2×#14581785C2211yescharacteristic
89C2×#14581785C2211yescharacteristic
90C2×#14581785C2211yescharacteristic, complemented
91C2×#14581785C2211yescharacteristic, complemented
92C2×#14581785C2211yescharacteristic, complemented
93C2×#14581785C2211yescharacteristic, complemented
94#126×D83C22116yescomplemented
95C2×#14581784C2211yescharacteristic, complemented
96C2×#14581784C2211yescharacteristic, complemented
97C2×#14581783C2211yescharacteristic, complemented
98C2×#14581783C2211yescharacteristic, complemented
99C2×#14581783C2211yescharacteristic, complemented
100C2×#14581782C2211yescharacteristic, complemented
101C2×#14581782C2211yescharacteristic, complemented
102C2×#14581782C2211yescharacteristic, complemented
103C2×#14581782C2211yescharacteristic, complemented
104C2×#14581782C2211yescharacteristic, complemented
105C2×#14581782C2211yescharacteristic, complemented
106C2×#14581782C2211yescharacteristic, complemented
107C2×#14581782C2211yescharacteristic, complemented
108C2×#14581782C2211yescharacteristic, complemented
109C2×#14581782C2211yescharacteristic, complemented
110C2×#14581782C2211yescharacteristic, complemented
111C2×#14581780C2211yescharacteristic
112C2×#14581779C2211yescharacteristic
113C2×#14581778C2211yescharacteristic
114C2×#14581778C2211yescharacteristic
115C2×#14581778C2211yescharacteristic
116C2×#14581778C2211yescharacteristic
117C2×#14581778C2211yescharacteristic, complemented
118C2×#14581777C2211yescharacteristic
119C2×#14581777C2211yescharacteristic
120C2×#14581777C2211yescharacteristic
121C2×#14581777C2211yescharacteristic
122C2×#14581777C2211yescharacteristic
123C2×#14581775C2211yescharacteristic
124C2×#14581775C2211yescharacteristic
125C2×#14581775C2211yescharacteristic, complemented
126C2×#14581774C2211yescharacteristic
127C2×#14581774C2211yescharacteristic
128C2×#14581774C2211yescharacteristic
129C2×#14581774C2211yescharacteristic
130C2×#14581774C2211yescharacteristic, complemented
131C2×#14581773C2211yescharacteristic
132C2×#14581772C2211yescharacteristic
133C2×#14581772C2211yescharacteristic
134C2×#14581772C2211yescharacteristic
135C2×#14581772C2211yescharacteristic
136C2×#14581772C2211yescharacteristic, complemented
137C2×#14581771C2211yescharacteristic
138C2×#14581771C2211yescharacteristic
139C2×#14581771C2211yescharacteristic, complemented
140C2×#14581771C2211yescharacteristic, complemented
141C2×#14581771C2211yescharacteristic, complemented
142C2×#14581771C2211yescharacteristic, complemented
143C2×#14581770C2211yescharacteristic
144C2×#14581770C2211yescharacteristic
145C2×#14581770C2211yescharacteristic
146C2×#14581770C2211yescharacteristic
147C2×#14581770C2211yescharacteristic
148C2×#14581770C2211yescharacteristic
149C2×#14581770C2211yescharacteristic
150C2×#14581770C2211yescharacteristic
151C2×#14581770C2211yescharacteristic
152C2×#14581770C2211yescharacteristic, complemented
153C2×#14581770C2211yescharacteristic, complemented
154C2×#14581770C2211yescharacteristic, complemented
155C2×#14581769C2211yescharacteristic
156C2×#14581769C2211yescharacteristic
157C2×#14581769C2211yescharacteristic
158C2×#14581768C2211yescharacteristic
159C2×#14581768C2211yescharacteristic
160C2×#14581768C2211yescharacteristic, complemented
161C2×#14581766C2211yescharacteristic
162C2×#14581765C2211yescharacteristic
163C2×#14581763C2211yescharacteristic
164C2×#14581762C2211yescharacteristic
165C2×#14581760C2211yescharacteristic
166C2×C4×Dic166C2211yescharacteristic, complemented
167C2×C4×Dic166C2211yescharacteristic, complemented
168C2×C4×Dic166C2211yescharacteristic, complemented
169C2×C4×Dic166C2211yescharacteristic, complemented
170C2×C4×Dic166C2211yescharacteristic, complemented
171C2×#14581757C2211yescharacteristic, complemented
172C2×#14581757C2211yescharacteristic, complemented
173C2×#14581757C2211yescharacteristic, complemented
174C2×C4×D332C2211yescharacteristic
175C2×C4×D332C2211yescharacteristic
176C2×#14581754C2211yescharacteristic
177C2×#14581754C2211yescharacteristic
178C2×C4×C22⋊D83C2211yescharacteristic
179C2×C4×C22⋊D83C2211yescharacteristic
180C2×C4×C22⋊D83C2211yescharacteristic
181C2×C4×C22⋊D83C2211yescharacteristic
182C2×C4×C22⋊D83C2211yescharacteristic, complemented
183C2×(C22⋊D83)⋊C4C2211yescharacteristic
184C2×#14581750C2211yescharacteristic
185C2×#14581750C2211yescharacteristic
186C2×#14581750C2211yescharacteristic
187C2×#14581749C2211yescharacteristic
188C2×#14581749C2211yescharacteristic
189C2×#14581749C2211yescharacteristic
190C2×#14581749C2211yescharacteristic, complemented
191C2×#14581749C2211yescharacteristic, complemented
192C2×#14581748C2211yescharacteristic
193C2×C4⋊C4×D83C2211yescharacteristic
194C2×C4⋊C4×D83C2211yescharacteristic
195C2×C4⋊C4×D83C2211yescharacteristic
196C2×C4⋊C4×D83C2211yescharacteristic, complemented
197C22×(C2×D83)⋊C4C2211yescharacteristic
198C2×C22⋊C4×D83C2211yescharacteristic
199C2×C22⋊C4×D83C2211yescharacteristic
200C2×C22⋊C4×D83C2211yescharacteristic
201C2×C22⋊C4×D83C2211yescharacteristic
202C2×C42×D83C2211yescharacteristic
203#552×C83C22116yescomplemented
204C2×#126×C83C2211yescharacteristic
205C2×#126×C83C2211yescharacteristic
206C2×#125×C83C2211yescharacteristic, complemented
207C2×#125×C83C2211yescharacteristic, complemented
208C2×#125×C83C2211yescharacteristic, complemented
209C2×#123×C83C2211yescharacteristic
210C2×#123×C83C2211yescharacteristic
211C2×C22⋊Q8×C83C2211yescharacteristic
212C2×C22⋊Q8×C83C2211yescharacteristic, complemented
213C2×C4×Q8×C83C2211yescharacteristic, complemented
214C2×C4×D4×C83C2211yescharacteristic
215C2×#117×C83C2211yescharacteristic
216C2×#117×C83C2211yescharacteristic, complemented
217C2×#117×C83C2211yescharacteristic, complemented
218C22×C4⋊C4×C83C2211yescharacteristic, complemented
219C24×D83C2311yescharacteristic
220C22×Dic166C2311yescharacteristic
221C22×Dic166C2311yescharacteristic
222C22×Dic166C2311yescharacteristic
223C22×Dic166C2311yescharacteristic
224C22×Dic166C2311yescharacteristic
225C22×Dic166C2311yescharacteristic
226C22×Dic166C2311yescharacteristic
227C22×Dic166C2311yescharacteristic
228C22×D332C2311yescharacteristic
229C22×D332C2311yescharacteristic
230C22×C22⋊D83C2311yescharacteristic
231C22×C22⋊D83C2311yescharacteristic
232C22×C22⋊D83C2311yescharacteristic
233C22×C22⋊D83C2311yescharacteristic
234C23×Dic83C2311yescharacteristic
235C22×C4×D83C2311yescharacteristic
236C22×C4×D83C2311yescharacteristic
237C22×C4×D83C2311yescharacteristic
238C22×C4×D83C2311yescharacteristic
239C22×C4×D83C2311yescharacteristic
240C22×C4×D83C2311yescharacteristic
241C22×C4×D83C2311yescharacteristic
242C22×C4×D83C2311yescharacteristic
243C22×C4×D83C2311yescharacteristic
244C22×C4×D83C2311yescharacteristic
245C22×C4×D83C2311yescharacteristic
246#14581792C2318yescomplemented
247#14581791C2318yescomplemented
248#14581791C2318yescomplemented
249#14581791C2318yescomplemented
250#14581791C2318yescomplemented
251#14581791C2318yescomplemented
252#14581791C2318yescomplemented
253#14581790C2318yescomplemented
254#14581787C2318yes—
255#14581787C2318yes—
256#14581787C2318yes—
257#14581787C2318yes—
258#14581787C2318yes—
259#14581787C2318yes—
260#14581787C2318yescomplemented
261#14581787C2318yescomplemented
262#14581787C2318yescomplemented
263#14581787C2318yescomplemented
264#14581786C2318yes—
265#14581786C2318yes—
266#14581786C2318yes—
267#14581785C2318yes—
268#14581785C2318yes—
269#14581785C2318yes—
270#14581785C2318yes—
271#14581785C2318yes—
272#14581785C2318yes—
273#14581785C2318yes—
274#14581785C2318yescomplemented
275#14581785C2318yescomplemented
276#14581785C2318yescomplemented
277#14581785C2318yescomplemented
278#14581784C2318yescomplemented
279#14581784C2318yescomplemented
280#14581783C2318yescomplemented
281#14581783C2318yescomplemented
282#14581783C2318yescomplemented
283#14581782C2318yescomplemented
284#14581782C2318yescomplemented
285#14581782C2318yescomplemented
286#14581782C2318yescomplemented
287#14581782C2318yescomplemented
288#14581782C2318yescomplemented
289#14581782C2318yescomplemented
290#14581782C2318yescomplemented
291#14581782C2318yescomplemented
292#14581782C2318yescomplemented
293#14581782C2318yescomplemented
294#14581780C2318yes—
295#14581779C2318yes—
296#14581778C2318yes—
297#14581778C2318yes—
298#14581778C2318yes—
299#14581778C2318yes—
300#14581778C2318yescomplemented
301#14581777C2318yes—
302#14581777C2318yes—
303#14581777C2318yes—
304#14581777C2318yes—
305#14581777C2318yes—
306#14581775C2318yes—
307#14581775C2318yes—
308#14581775C2318yescomplemented
309#14581774C2318yes—
310#14581774C2318yes—
311#14581774C2318yes—
312#14581774C2318yes—
313#14581774C2318yescomplemented
314#14581773C2318yes—
315#14581772C2318yes—
316#14581772C2318yes—
317#14581772C2318yes—
318#14581772C2318yes—
319#14581772C2318yescomplemented
320#14581771C2318yes—
321#14581771C2318yes—
322#14581771C2318yescomplemented
323#14581771C2318yescomplemented
324#14581771C2318yescomplemented
325#14581771C2318yescomplemented
326#14581770C2318yes—
327#14581770C2318yes—
328#14581770C2318yes—
329#14581770C2318yes—
330#14581770C2318yes—
331#14581770C2318yes—
332#14581770C2318yes—
333#14581770C2318yes—
334#14581770C2318yes—
335#14581770C2318yescomplemented
336#14581770C2318yescomplemented
337#14581770C2318yescomplemented
338#14581769C2318yes—
339#14581769C2318yes—
340#14581769C2318yes—
341#14581768C2318yes—
342#14581768C2318yes—
343#14581768C2318yescomplemented
344#14581766C2318yes—
345#14581765C2318yes—
346#14581763C2318yes—
347#14581762C2318yes—
348#14581760C2318yes—
349C4×Dic166C2318yescomplemented
350C4×Dic166C2318yescomplemented
351C4×Dic166C2318yescomplemented
352C4×Dic166C2318yescomplemented
353C4×Dic166C2318yescomplemented
354#14581757C2318yescomplemented
355#14581757C2318yescomplemented
356#14581757C2318yescomplemented
357C4×D332C2318yes—
358C4×D332C2318yes—
359#14581754C2318yes—
360#14581754C2318yes—
361C4×C22⋊D83C2318yes—
362C4×C22⋊D83C2318yes—
363C4×C22⋊D83C2318yes—
364C4×C22⋊D83C2318yes—
365C4×C22⋊D83C2318yescomplemented
366(C22⋊D83)⋊C4C2318yes—
367#14581750C2318yes—
368#14581750C2318yes—
369#14581750C2318yes—
370#14581749C2318yes—
371#14581749C2318yes—
372#14581749C2318yes—
373#14581749C2318yescomplemented
374#14581749C2318yescomplemented
375#14581748C2318yes—
376C2×C4⋊Dic83C2311yescharacteristic
377C2×C4⋊Dic83C2311yescharacteristic
378C2×C4⋊Dic83C2311yescharacteristic
379C2×C4⋊Dic83C2311yescharacteristic
380C2×C4⋊Dic83C2311yescharacteristic
381C2×C4⋊Dic83C2311yescharacteristic
382C2×C4⋊Dic83C2311yescharacteristic
383C2×C4⋊Dic83C2311yescharacteristic
384C2×C4⋊Dic83C2311yescharacteristic
385C2×C4⋊Dic83C2311yescharacteristic
386C2×C4⋊Dic83C2311yescharacteristic
387C2×C4⋊Dic83C2311yescharacteristic
388C2×C4⋊Dic83C2311yescharacteristic
389C2×C4⋊Dic83C2311yescharacteristic
390C2×Dic83⋊C4C2311yescharacteristic
391C2×Dic83⋊C4C2311yescharacteristic
392C2×Dic83⋊C4C2311yescharacteristic
393C2×Dic83⋊C4C2311yescharacteristic
394C2×Dic83⋊C4C2311yescharacteristic
395C2×Dic83⋊C4C2311yescharacteristic
396C2×Dic83⋊C4C2311yescharacteristic
397C2×Dic83⋊C4C2311yescharacteristic
398C2×Dic83⋊C4C2311yescharacteristic
399C2×Dic83⋊C4C2311yescharacteristic
400C2×Dic83⋊C4C2311yescharacteristic
401C2×Dic83⋊C4C2311yescharacteristic
402C2×Dic83⋊C4C2311yescharacteristic
403C2×Dic83⋊C4C2311yescharacteristic
404C2×Dic83⋊C4C2311yescharacteristic
405C2×Dic83⋊C4C2311yescharacteristic
406C2×Dic83⋊C4C2311yescharacteristic
407C2×Dic83⋊C4C2311yescharacteristic
408C2×Dic83⋊C4C2311yescharacteristic
409C2×Dic83⋊C4C2311yescharacteristic
410C2×Dic83⋊C4C2311yescharacteristic
411C2×Dic83⋊C4C2311yescharacteristic
412C2×Dic83⋊C4C2311yescharacteristic
413C2×Dic83⋊C4C2311yescharacteristic
414C2×Dic83⋊C4C2311yescharacteristic
415C2×Dic83⋊C4C2311yescharacteristic
416C2×Dic83⋊C4C2311yescharacteristic
417C2×Dic83⋊C4C2311yescharacteristic
418C2×Dic83⋊C4C2311yescharacteristic
419C2×Dic83⋊C4C2311yescharacteristic
420C2×Dic83⋊C4C2311yescharacteristic
421C2×Dic83⋊C4C2311yescharacteristic
422C4⋊C4×D83C2318yes—
423C4⋊C4×D83C2318yes—
424C4⋊C4×D83C2318yes—
425C4⋊C4×D83C2318yescomplemented
426C2×C22⋊Dic83C2311yescharacteristic
427C2×C22⋊Dic83C2311yescharacteristic
428C2×C22⋊Dic83C2311yescharacteristic
429C2×C22⋊Dic83C2311yescharacteristic
430C2×C22⋊Dic83C2311yescharacteristic
431C2×C22⋊Dic83C2311yescharacteristic
432C2×C22⋊Dic83C2311yescharacteristic
433C2×C22⋊Dic83C2311yescharacteristic
434C2×C22⋊Dic83C2311yescharacteristic
435C2×C22⋊Dic83C2311yescharacteristic
436C2×(C2×D83)⋊C4C2318yes—
437C2×(C2×D83)⋊C4C2311yescharacteristic
438C2×(C2×D83)⋊C4C2311yescharacteristic
439C2×(C2×D83)⋊C4C2311yescharacteristic
440C2×(C2×D83)⋊C4C2311yescharacteristic
441C2×(C2×D83)⋊C4C2311yescharacteristic
442C2×(C2×D83)⋊C4C2311yescharacteristic
443C2×(C2×D83)⋊C4C2311yescharacteristic
444C2×(C2×D83)⋊C4C2311yescharacteristic
445C2×(C2×D83)⋊C4C2311yescharacteristic
446C2×(C2×D83)⋊C4C2311yescharacteristic
447C2×(C2×D83)⋊C4C2311yescharacteristic
448C2×(C2×D83)⋊C4C2311yescharacteristic
449C2×(C2×D83)⋊C4C2311yescharacteristic
450C2×(C2×D83)⋊C4C2311yescharacteristic
451C2×(C2×D83)⋊C4C2311yescharacteristic
452C2×(C2×D83)⋊C4C2311yescharacteristic
453C2×(C2×D83)⋊C4C2311yescharacteristic
454C2×(C2×D83)⋊C4C2311yescharacteristic
455C2×(C2×D83)⋊C4C2311yescharacteristic
456C2×(C2×D83)⋊C4C2311yescharacteristic
457C2×(C2×D83)⋊C4C2311yescharacteristic
458C2×(C2×D83)⋊C4C2311yescharacteristic
459C2×(C2×D83)⋊C4C2311yescharacteristic
460C2×(C2×D83)⋊C4C2311yescharacteristic
461C22⋊C4×D83C2318yes—
462C22⋊C4×D83C2318yes—
463C22⋊C4×D83C2318yes—
464C22⋊C4×D83C2318yes—
465C2×C4×Dic83C2311yescharacteristic
466C2×C4×Dic83C2311yescharacteristic
467C2×C4×Dic83C2311yescharacteristic
468C2×C4×Dic83C2311yescharacteristic
469C2×C4×Dic83C2311yescharacteristic
470C2×C4×Dic83C2311yescharacteristic
471C2×C4×Dic83C2311yescharacteristic
472C2×C4×Dic83C2311yescharacteristic
473C2×C4×Dic83C2311yescharacteristic
474C2×C4×Dic83C2311yescharacteristic
475C2×C4×Dic83C2311yescharacteristic
476C2×C4×Dic83C2311yescharacteristic
477C2×C4×Dic83C2311yescharacteristic
478C42×D83C2318yes—
479C22×Q8×C83C2311yescharacteristic
480C22×D4×C83C2311yescharacteristic
481C23×C4×C83C2311yescharacteristic
482C23×C4×C83C2311yescharacteristic
483C23×C4×C83C2311yescharacteristic
484C23×C4×C83C2311yescharacteristic
485#126×C83C2318yes—
486#126×C83C2318yes—
487#125×C83C2318yescomplemented
488#125×C83C2318yescomplemented
489#125×C83C2318yescomplemented
490#123×C83C2318yes—
491#123×C83C2318yes—
492C22⋊Q8×C83C2318yes—
493C22⋊Q8×C83C2318yescomplemented
494C4×Q8×C83C2318yescomplemented
495C4×D4×C83C2318yes—
496#117×C83C2318yes—
497#117×C83C2318yescomplemented
498#117×C83C2318yescomplemented
499C2×C4⋊C4×C83C2311yescharacteristic
500C2×C4⋊C4×C83C2311yescharacteristic
501C2×C4⋊C4×C83C2311yescharacteristic
502C2×C4⋊C4×C83C2311yescharacteristic
503C2×C4⋊C4×C83C2311yescharacteristic
504C2×C4⋊C4×C83C2311yescharacteristic
505C2×C4⋊C4×C83C2311yescharacteristic
506C2×C4⋊C4×C83C2311yescharacteristic
507C2×C4⋊C4×C83C2311yescharacteristic
508C2×C4⋊C4×C83C2311yescharacteristic
509C2×C4⋊C4×C83C2311yescharacteristic
510C2×C4⋊C4×C83C2311yescharacteristic
511C2×C4⋊C4×C83C2311yescharacteristic
512C2×C4⋊C4×C83C2311yescharacteristic
513C2×C4⋊C4×C83C2311yescharacteristic
514C2×C4⋊C4×C83C2311yescharacteristic
515C2×C4⋊C4×C83C2318yescomplemented
516C2×C22⋊C4×C83C2311yescharacteristic
517C2×C22⋊C4×C83C2311yescharacteristic
518C2×C22⋊C4×C83C2311yescharacteristic
519C2×C22⋊C4×C83C2311yescharacteristic
520C2×C22⋊C4×C83C2311yescharacteristic
521C2×C22⋊C4×C83C2311yescharacteristic
522C2×C22⋊C4×C83C2311yescharacteristic
523C2×C22⋊C4×C83C2311yescharacteristic
524C2×C42×C83C2311yescharacteristic
525C2×C42×C83C2311yescharacteristic
526C2×C42×C83C2311yescharacteristic
527C2×C42×C83C2311yescharacteristic
528C2×C42×C83C2311yescharacteristic
529C23×D83—24no—
530C23×D83—42no—
531C23×D83—42no—
532C23×D83C2411yescharacteristic
533C23×D83C2411yescharacteristic
534C23×D83C2411yescharacteristic
535C23×D83C2414yes—
536C2×Dic166—42no—
537C2×Dic166—42no—
538C2×Dic166—42no—
539C2×Dic166—42no—
540C2×Dic166—42no—
541C2×Dic166—42no—
542C2×Dic166—42no—
543C2×Dic166—42no—
544C2×Dic166C2414yes—
545C2×Dic166C2414yes—
546C2×Dic166C2414yes—
547C2×Dic166C2414yes—
548C2×Dic166C2414yes—
549C2×Dic166C2414yes—
550C2×Dic166C2414yes—
551C2×Dic166C2414yes—
552C2×D332—24no—
553C2×D332—42no—
554C2×D332C2414yes—
555C2×D332C2414yes—
556C2×C22⋊D83—24no—
557C2×C22⋊D83—42no—
558C2×C22⋊D83—42no—
559C2×C22⋊D83—42no—
560C2×C22⋊D83C2414yes—
561C2×C22⋊D83C2414yes—
562C2×C22⋊D83C2414yes—
563C2×C22⋊D83C2414yes—
564C22×Dic83—42no—
565C22×Dic83C2411yescharacteristic
566C22×Dic83C2411yescharacteristic
567C22×Dic83C2411yescharacteristic
568C22×Dic83C2411yescharacteristic
569C22×Dic83C2411yescharacteristic
570C22×Dic83C2411yescharacteristic
571C22×Dic83C2411yescharacteristic
572C22×Dic83C2411yescharacteristic
573C22×Dic83C2411yescharacteristic
574C22×Dic83C2411yescharacteristic
575C22×Dic83C2411yescharacteristic
576C22×Dic83C2411yescharacteristic
577C22×Dic83C2411yescharacteristic
578C22×Dic83C2414yes—
579C2×C4×D83—24no—
580C2×C4×D83—24no—
581C2×C4×D83—42no—
582C2×C4×D83—42no—
583C2×C4×D83—42no—
584C2×C4×D83—42no—
585C2×C4×D83—42no—
586C2×C4×D83—42no—
587C2×C4×D83—42no—
588C2×C4×D83—42no—
589C2×C4×D83—42no—
590C2×C4×D83C2414yes—
591C2×C4×D83C2414yes—
592C2×C4×D83C2414yes—
593C2×C4×D83C2414yes—
594C2×C4×D83C2414yes—
595C2×C4×D83C2414yes—
596C2×C4×D83C2414yes—
597C2×C4×D83C2414yes—
598C2×C4×D83C2414yes—
599C2×C4×D83C2414yes—
600C2×C4×D83C2414yes—
601C4⋊Dic83C2414yes—
602C4⋊Dic83C2414yes—
603C4⋊Dic83C2414yes—
604C4⋊Dic83C2414yes—
605C4⋊Dic83C2414yes—
606C4⋊Dic83C2414yes—
607C4⋊Dic83C2414yes—
608C4⋊Dic83C2414yes—
609C4⋊Dic83C2414yes—
610C4⋊Dic83C2414yes—
611C4⋊Dic83C2414yes—
612C4⋊Dic83C2414yes—
613C4⋊Dic83C2414yes—
614C4⋊Dic83C2414yes—
615Dic83⋊C4C2414yes—
616Dic83⋊C4C2414yes—
617Dic83⋊C4C2414yes—
618Dic83⋊C4C2414yes—
619Dic83⋊C4C2414yes—
620Dic83⋊C4C2414yes—
621Dic83⋊C4C2414yes—
622Dic83⋊C4C2414yes—
623Dic83⋊C4C2414yes—
624Dic83⋊C4C2414yes—
625Dic83⋊C4C2414yes—
626Dic83⋊C4C2414yes—
627Dic83⋊C4C2414yes—
628Dic83⋊C4C2414yes—
629Dic83⋊C4C2414yes—
630Dic83⋊C4C2414yes—
631Dic83⋊C4C2414yes—
632Dic83⋊C4C2414yes—
633Dic83⋊C4C2414yes—
634Dic83⋊C4C2414yes—
635Dic83⋊C4C2414yes—
636Dic83⋊C4C2414yes—
637Dic83⋊C4C2414yes—
638Dic83⋊C4C2414yes—
639Dic83⋊C4C2414yes—
640Dic83⋊C4C2414yes—
641Dic83⋊C4C2414yes—
642Dic83⋊C4C2414yes—
643Dic83⋊C4C2414yes—
644Dic83⋊C4C2414yes—
645Dic83⋊C4C2414yes—
646Dic83⋊C4C2414yes—
647C22⋊Dic83C2414yes—
648C22⋊Dic83C2414yes—
649C22⋊Dic83C2414yes—
650C22⋊Dic83C2414yes—
651C22⋊Dic83C2414yes—
652C22⋊Dic83C2414yes—
653C22⋊Dic83C2414yes—
654C22⋊Dic83C2414yes—
655C22⋊Dic83C2414yes—
656C22⋊Dic83C2414yes—
657(C2×D83)⋊C4C2414yes—
658(C2×D83)⋊C4C2414yes—
659(C2×D83)⋊C4C2414yes—
660(C2×D83)⋊C4C2414yes—
661(C2×D83)⋊C4C2414yes—
662(C2×D83)⋊C4C2414yes—
663(C2×D83)⋊C4C2414yes—
664(C2×D83)⋊C4C2414yes—
665(C2×D83)⋊C4C2414yes—
666(C2×D83)⋊C4C2414yes—
667(C2×D83)⋊C4C2414yes—
668(C2×D83)⋊C4C2414yes—
669(C2×D83)⋊C4C2414yes—
670(C2×D83)⋊C4C2414yes—
671(C2×D83)⋊C4C2414yes—
672(C2×D83)⋊C4C2414yes—
673(C2×D83)⋊C4C2414yes—
674(C2×D83)⋊C4C2414yes—
675(C2×D83)⋊C4C2414yes—
676(C2×D83)⋊C4C2414yes—
677(C2×D83)⋊C4C2414yes—
678(C2×D83)⋊C4C2414yes—
679(C2×D83)⋊C4C2414yes—
680(C2×D83)⋊C4C2414yes—
681C4×Dic83C2414yes—
682C4×Dic83C2414yes—
683C4×Dic83C2414yes—
684C4×Dic83C2414yes—
685C4×Dic83C2414yes—
686C4×Dic83C2414yes—
687C4×Dic83C2414yes—
688C4×Dic83C2414yes—
689C4×Dic83C2414yes—
690C4×Dic83C2414yes—
691C4×Dic83C2414yes—
692C4×Dic83C2414yes—
693C4×Dic83C2414yes—
694C24×C83C2411yescharacteristic
695C24×C83C2411yescharacteristic
696C2×Q8×C83—42no—
697C2×Q8×C83C2414yes—
698C2×D4×C83—42no—
699C2×D4×C83C2414yes—
700C22×C4×C83—42no—
701C22×C4×C83—42no—
702C22×C4×C83—42no—
703C22×C4×C83—42no—
704C22×C4×C83C2411yescharacteristic
705C22×C4×C83C2411yescharacteristic
706C22×C4×C83C2411yescharacteristic
707C22×C4×C83C2411yescharacteristic
708C22×C4×C83C2411yescharacteristic
709C22×C4×C83C2411yescharacteristic
710C22×C4×C83C2411yescharacteristic
711C22×C4×C83C2411yescharacteristic
712C22×C4×C83C2411yescharacteristic
713C22×C4×C83C2411yescharacteristic
714C22×C4×C83C2411yescharacteristic
715C22×C4×C83C2411yescharacteristic
716C22×C4×C83C2411yescharacteristic
717C22×C4×C83C2414yes—
718C22×C4×C83C2414yes—
719C22×C4×C83C2414yes—
720C22×C4×C83C2414yes—
721C4⋊C4×C83C2414yes—
722C4⋊C4×C83C2414yes—
723C4⋊C4×C83C2414yes—
724C4⋊C4×C83C2414yes—
725C4⋊C4×C83C2414yes—
726C4⋊C4×C83C2414yes—
727C4⋊C4×C83C2414yes—
728C4⋊C4×C83C2414yes—
729C4⋊C4×C83C2414yes—
730C4⋊C4×C83C2414yes—
731C4⋊C4×C83C2414yes—
732C4⋊C4×C83C2414yes—
733C4⋊C4×C83C2414yes—
734C4⋊C4×C83C2414yes—
735C4⋊C4×C83C2414yes—
736C4⋊C4×C83C2414yes—
737C22⋊C4×C83C2414yes—
738C22⋊C4×C83C2414yes—
739C22⋊C4×C83C2414yes—
740C22⋊C4×C83C2414yes—
741C22⋊C4×C83C2414yes—
742C22⋊C4×C83C2414yes—
743C22⋊C4×C83C2414yes—
744C22⋊C4×C83C2414yes—
745C42×C83C2414yes—
746C42×C83C2414yes—
747C42×C83C2414yes—
748C42×C83C2414yes—
749C42×C83C2414yes—
750C23×C83—22no—
751C23×C83—22no—
752C23×C83—22no—
753C23×C83—22no—
754C23×C83—22no—
755C23×C83—22no—
756C23×C83C2512yes—
757C23×C83C2512yes—
758C23×C83C2511yescharacteristic
759C22×D83—22no—
760C22×D83—22no—
761C22×D83—22no—
762C22×D83—22no—
763C22×D83—22no—
764C22×D83—22no—
765C22×D83—22no—
766C22×D83—22no—
767C22×D83—28no—
768C22×D83—44no—
769C22×D83—44no—
770C22×D83—88no—
771C22×D832−1+414yes—
772C22×D83C2512yes—
773C22×D83C2512yes—
774C22×D83C2512yes—
775Q8×C83—44no—
776D4×C83—44no—
777C2×C4×C83—22no—
778C2×C4×C83—22no—
779C2×C4×C83—22no—
780C2×C4×C83—22no—
781C2×C4×C83—22no—
782C2×C4×C83—22no—
783C2×C4×C83—22no—
784C2×C4×C83—22no—
785C2×C4×C83—22no—
786C2×C4×C83—22no—
787C2×C4×C83—22no—
788C2×C4×C83—22no—
789C2×C4×C83—22no—
790C2×C4×C83—44no—
791C2×C4×C83—44no—
792C2×C4×C83—44no—
793C2×C4×C83—44no—
794C2×C4×C83C2512yes—
795C2×C4×C83C2512yes—
796C2×C4×C83C2512yes—
797C2×C4×C83C2512yes—
798C2×C4×C83C2512yes—
799C2×C4×C83C2512yes—
800C2×C4×C83C2512yes—
801C2×C4×C83C2512yes—
802C2×C4×C83C2512yes—
803C2×C4×C83C2512yes—
804C2×C4×C83C2512yes—
805C2×C4×C83C2512yes—
806C2×C4×C83C2512yes—
807C22⋊D83—28no—
808C22⋊D83—44no—
809C22⋊D83—44no—
810C22⋊D83—44no—
811C2×Dic83—22no—
812C2×Dic83—22no—
813C2×Dic83—22no—
814C2×Dic83—22no—
815C2×Dic83—22no—
816C2×Dic83—22no—
817C2×Dic83—22no—
818C2×Dic83—22no—
819C2×Dic83—22no—
820C2×Dic83—22no—
821C2×Dic83—22no—
822C2×Dic83—22no—
823C2×Dic83—22no—
824C2×Dic83—44no—
825C2×Dic83C2512yes—
826C2×Dic83C2512yes—
827C2×Dic83C2512yes—
828C2×Dic83C2512yes—
829C2×Dic83C2512yes—
830C2×Dic83C2512yes—
831C2×Dic83C2512yes—
832C2×Dic83C2512yes—
833C2×Dic83C2512yes—
834C2×Dic83C2512yes—
835C2×Dic83C2512yes—
836C2×Dic83C2512yes—
837C2×Dic83C2512yes—
838D332—28no—
839D332—44no—
840C4×D83—28no—
841C4×D83—28no—
842C4×D83—44no—
843C4×D83—44no—
844C4×D83—44no—
845C4×D83—44no—
846C4×D83—44no—
847C4×D83—44no—
848C4×D83—44no—
849C4×D83—44no—
850C4×D83—44no—
851Dic166—44no—
852Dic166—44no—
853Dic166—44no—
854Dic166—44no—
855Dic166—44no—
856Dic166—44no—
857Dic166—44no—
858Dic166—44no—
859C22×C83—22no—
860C22×C83—22no—
861C22×C83—22no—
862C22×C83—22no—
863C22×C83—22no—
864C22×C83—22no—
865C22×C83—44no—
866C22×C83—44no—
867C22×C83C2×2−1+412yes—
868C22×C83#58512yes—
869C22×C83#58512yes—
870C22×C83C2611yescharacteristic
871C2×D83—22no—
872C2×D83—22no—
873C2×D83—28no—
874C2×D83—22no—
875C2×D83—22no—
876C2×D83—22no—
877C2×D83—22no—
878C2×D83—22no—
879C2×D83—22no—
880C2×D83—44no—
881C2×D83—44no—
882C2×D83—88no—
883C2×D83C2×2−1+414yes—
884C4×C83—22no—
885C4×C83—22no—
886C4×C83—22no—
887C4×C83—22no—
888C4×C83—22no—
889C4×C83—22no—
890C4×C83—22no—
891C4×C83—22no—
892C4×C83—22no—
893C4×C83—22no—
894C4×C83—22no—
895C4×C83—22no—
896C4×C83—22no—
897Dic83—22no—
898Dic83—22no—
899Dic83—22no—
900Dic83—22no—
901Dic83—22no—
902Dic83—22no—
903Dic83—22no—
904Dic83—22no—
905Dic83—22no—
906Dic83—22no—
907Dic83—22no—
908Dic83—22no—
909Dic83—22no—
910C2×#3564—831nomaximal, Sylow
911C2×C83—42no—
912C2×C83—42no—
913C2×C83#356414yescomplemented
914C2×C83C22×2−1+411yescharacteristic
915C2×C83C2×#58511yescharacteristic
916C2×C83C2×#58511yescharacteristic
917D83—24no—
918D83—42no—
919D83—42no—
920#3564—8332no—
921C2×#563—831no—
922C2×#563—831no—
923C2×#563—831no—
924C2×#563—831no—
925C2×#556—831no—
926C2×#556—831no—
927C2×#554—831no—
928C2×#554—831no—
929C2×#552—831no—
930C2×#552—831no—
931C2×#552—831no—
932C2×#552D8311yescharacteristic, complemented
933C2×#551—831no—
934C2×#551—831no—
935C2×#551—831no—
936C2×#551—831no—
937C2×#544—831no—
938C2×#543—831no—
939C2×#542—831no—
940C2×#542—831no—
941C2×#541—831no—
942C2×#541—831no—
943C2×#541—831no—
944C2×#541—831no—
945C2×#539—831no—
946C2×#539—831no—
947C2×#539—831no—
948C2×#538—831no—
949C2×#533—831no—
950C2×#529—831no—
951C22×#126—831no—
952C83C2×#356411yescharacteristic, complemented, Sylow
953#563—8316no—
954#563—8316no—
955#563—8316no—
956#563—8316no—
957#556—8316no—
958#556—8316no—
959#554—8316no—
960#554—8316no—
961#552—8316no—
962#552—8316no—
963#552—8316no—
964#552C2×D83116yescomplemented
965#551—8316no—
966#551—8316no—
967#551—8316no—
968#551—8316no—
969#544—8316no—
970#543—8316no—
971#542—8316no—
972#542—8316no—
973#541—8316no—
974#541—8316no—
975#541—8316no—
976#541—8316no—
977#539—8316no—
978#539—8316no—
979#539—8316no—
980#538—8316no—
981#533—8316no—
982C2×C4⋊Q8—831no—
983C2×C4⋊Q8—831no—
984C2×C4⋊Q8—831no—
985C2×C4⋊Q8—831no—
986C2×C4⋊Q8—831no—
987C2×C4⋊Q8—831no—
988C2×C4⋊Q8—831no—
989C2×C4⋊Q8—831no—
990#529—8316no—
991C2×#126—8316no—
992C2×#126—831no—
993C2×#126—831no—
994C2×#126—831no—
995C2×#126—831no—
996C2×#126—831no—
997C2×#126—831no—
998C2×#126—831no—
999C2×#126—831no—
1000C2×#126—831no—
1001C2×#126—831no—
1002C2×#126—831no—
1003C2×#126—831no—
1004C2×#126—831no—
1005C2×#126—831no—
1006C2×#126—831no—
1007C2×#126—831no—
1008C2×#126—831no—
1009C2×#126—831no—
1010C2×#126—831no—
1011C2×#126—831no—
1012C2×#126—831no—
1013C2×#126—831no—
1014C2×#126—831no—
1015C2×#126—831no—
1016C2×#126C2×D8311yescharacteristic
1017C2×#126C2×D8311yescharacteristic
1018C2×#125—831no—
1019C2×#125—831no—
1020C2×#125—831no—
1021C2×#125—831no—
1022C2×#125—831no—
1023C2×#125—831no—
1024C2×#125—831no—
1025C2×#125—831no—
1026C2×#125—831no—
1027C2×#125—831no—
1028C2×#125—831no—
1029C2×#125—831no—
1030C2×#125—831no—
1031C2×#125—831no—
1032C2×#125—831no—
1033C2×#125—831no—
1034C2×#125C2×D8311yescharacteristic, complemented
1035C2×#125C2×D8311yescharacteristic, complemented
1036C2×#125C2×D8311yescharacteristic, complemented
1037C2×#124—831no—
1038C2×#124—831no—
1039C2×#124—831no—
1040C2×#124—831no—
1041C2×#124—831no—
1042C2×#124—831no—
1043C2×#124—831no—
1044C2×#123—831no—
1045C2×#123—831no—
1046C2×#123—831no—
1047C2×#123—831no—
1048C2×#123—831no—
1049C2×#123—831no—
1050C2×#123—831no—
1051C2×#123—831no—
1052C2×#123—831no—
1053C2×#123—831no—
1054C2×#123—831no—
1055C2×#123—831no—
1056C2×#123—831no—
1057C2×#123—831no—
1058C2×#123C2×D8311yescharacteristic
1059C2×#123C2×D8311yescharacteristic
1060C2×C22⋊Q8—831no—
1061C2×C22⋊Q8—831no—
1062C2×C22⋊Q8—831no—
1063C2×C22⋊Q8—831no—
1064C2×C22⋊Q8—831no—
1065C2×C22⋊Q8—831no—
1066C2×C22⋊Q8—831no—
1067C2×C22⋊Q8—831no—
1068C2×C22⋊Q8—831no—
1069C2×C22⋊Q8—831no—
1070C2×C22⋊Q8—831no—
1071C2×C22⋊Q8—831no—
1072C2×C22⋊Q8—831no—
1073C2×C22⋊Q8—831no—
1074C2×C22⋊Q8—831no—
1075C2×C22⋊Q8—831no—
1076C2×C22⋊Q8—831no—
1077C2×C22⋊Q8—831no—
1078C2×C22⋊Q8—831no—
1079C2×C22⋊Q8—831no—
1080C2×C22⋊Q8—831no—
1081C2×C22⋊Q8—831no—
1082C2×C22⋊Q8—831no—
1083C2×C22⋊Q8—831no—
1084C2×C22⋊Q8—831no—
1085C2×C22⋊Q8—831no—
1086C2×C22⋊Q8—831no—
1087C2×C22⋊Q8—831no—
1088C2×C22⋊Q8—831no—
1089C2×C22⋊Q8C2×D8311yescharacteristic
1090C2×C22⋊Q8C2×D8311yescharacteristic, complemented
1091C2×#121—831no—
1092C2×#121—831no—
1093C2×#121—831no—
1094C2×#120—831no—
1095C2×#120—831no—
1096C2×C4×Q8—831no—
1097C2×C4×Q8—831no—
1098C2×C4×Q8—831no—
1099C2×C4×Q8—831no—
1100C2×C4×Q8—831no—
1101C2×C4×Q8—831no—
1102C2×C4×Q8—831no—
1103C2×C4×Q8—831no—
1104C2×C4×Q8C2×D8311yescharacteristic, complemented
1105C2×C4×D4—831no—
1106C2×C4×D4—831no—
1107C2×C4×D4—831no—
1108C2×C4×D4—831no—
1109C2×C4×D4—831no—
1110C2×C4×D4—831no—
1111C2×C4×D4—831no—
1112C2×C4×D4—831no—
1113C2×C4×D4—831no—
1114C2×C4×D4—831no—
1115C2×C4×D4C2×D8311yescharacteristic
1116C2×#117—831no—
1117C2×#117—831no—
1118C2×#117—831no—
1119C2×#117—831no—
1120C2×#117—831no—
1121C2×#117—831no—
1122C2×#117—831no—
1123C2×#117—831no—
1124C2×#117—831no—
1125C2×#117C2×D8311yescharacteristic
1126C2×#117C2×D8311yescharacteristic, complemented
1127C2×#117C2×D8311yescharacteristic, complemented
1128C22×C4⋊C4—831no—
1129C22×C4⋊C4—831no—
1130C22×C4⋊C4—831no—
1131C22×C4⋊C4—831no—
1132C22×C4⋊C4C2×D8311yescharacteristic, complemented
1133C22×C22⋊C4—831no—
1134C22×C22⋊C4—831no—
1135C22×C22⋊C4—831no—
1136C22×C22⋊C4—831no—
1137C22×C22⋊C4—831no—
1138C22×C42—831no—
1139C25—831no—
1140C22×Q8—831no—
1141C22×Q8—831no—
1142C22×Q8—831no—
1143C22×Q8—831no—
1144C22×Q8—831no—
1145C22×Q8—831no—
1146C22×Q8—831no—
1147C22×Q8—831no—
1148C22×Q8C22×D8311yescharacteristic
1149C22×D4—831no—
1150C22×D4—831no—
1151C22×D4—831no—
1152C22×D4—831no—
1153C22×D4—831no—
1154C22×D4—831no—
1155C22×D4C22×D8311yescharacteristic
1156C23×C4—831no—
1157C23×C4—831no—
1158C23×C4—831no—
1159C23×C4—831no—
1160C23×C4—831no—
1161C23×C4—831no—
1162C23×C4—831no—
1163C23×C4—831no—
1164C23×C4—831no—
1165C23×C4—831no—
1166C23×C4—831no—
1167C23×C4—831no—
1168C23×C4C22×D8311yescharacteristic
1169C23×C4C22×D8311yescharacteristic
1170C23×C4C22×D8311yescharacteristic
1171C23×C4C22×D8311yescharacteristic
1172C4⋊Q8—838no—
1173C4⋊Q8—838no—
1174C4⋊Q8—838no—
1175C4⋊Q8—838no—
1176C4⋊Q8—838no—
1177C4⋊Q8—838no—
1178C4⋊Q8—838no—
1179C4⋊Q8—838no—
1180#126—838no—
1181#126—838no—
1182#126—838no—
1183#126—838no—
1184#126—838no—
1185#126—838no—
1186#126—838no—
1187#126—838no—
1188#126—838no—
1189#126—838no—
1190#126—838no—
1191#126—838no—
1192#126—838no—
1193#126—838no—
1194#126—838no—
1195#126—838no—
1196#126—838no—
1197#126—838no—
1198#126—838no—
1199#126—838no—
1200#126—838no—
1201#126—838no—
1202#126—838no—
1203#126—838no—
1204#126C22×D8318yes—
1205#126C22×D8318yes—
1206#125—838no—
1207#125—838no—
1208#125—838no—
1209#125—838no—
1210#125—838no—
1211#125—838no—
1212#125—838no—
1213#125—838no—
1214#125—838no—
1215#125—838no—
1216#125—838no—
1217#125—838no—
1218#125—838no—
1219#125—838no—
1220#125—838no—
1221#125—838no—
1222#125C22×D8318yescomplemented
1223#125C22×D8318yescomplemented
1224#125C22×D8318yescomplemented
1225#124—838no—
1226#124—838no—
1227#124—838no—
1228#124—838no—
1229#124—838no—
1230#124—838no—
1231#124—838no—
1232#123—838no—
1233#123—838no—
1234#123—838no—
1235#123—838no—
1236#123—838no—
1237#123—838no—
1238#123—838no—
1239#123—838no—
1240#123—838no—
1241#123—838no—
1242#123—838no—
1243#123—838no—
1244#123—838no—
1245#123—838no—
1246#123C22×D8318yes—
1247#123C22×D8318yes—
1248C22⋊Q8—838no—
1249C22⋊Q8—838no—
1250C22⋊Q8—838no—
1251C22⋊Q8—838no—
1252C22⋊Q8—838no—
1253C22⋊Q8—838no—
1254C22⋊Q8—838no—
1255C22⋊Q8—838no—
1256C22⋊Q8—838no—
1257C22⋊Q8—838no—
1258C22⋊Q8—838no—
1259C22⋊Q8—838no—
1260C22⋊Q8—838no—
1261C22⋊Q8—838no—
1262C22⋊Q8—838no—
1263C22⋊Q8—838no—
1264C22⋊Q8—838no—
1265C22⋊Q8—838no—
1266C22⋊Q8—838no—
1267C22⋊Q8—838no—
1268C22⋊Q8—838no—
1269C22⋊Q8—838no—
1270C22⋊Q8—838no—
1271C22⋊Q8—838no—
1272C22⋊Q8—838no—
1273C22⋊Q8—838no—
1274C22⋊Q8—838no—
1275C22⋊Q8—838no—
1276C22⋊Q8—838no—
1277C22⋊Q8C22×D8318yes—
1278C22⋊Q8C22×D8318yescomplemented
1279#121—838no—
1280#121—838no—
1281#121—838no—
1282#120—838no—
1283#120—838no—
1284C4×Q8—838no—
1285C4×Q8—838no—
1286C4×Q8—838no—
1287C4×Q8—838no—
1288C4×Q8—838no—
1289C4×Q8—838no—
1290C4×Q8—838no—
1291C4×Q8—838no—
1292C4×Q8C22×D8318yescomplemented
1293C4×D4—838no—
1294C4×D4—838no—
1295C4×D4—838no—
1296C4×D4—838no—
1297C4×D4—838no—
1298C4×D4—838no—
1299C4×D4—838no—
1300C4×D4—838no—
1301C4×D4—838no—
1302C4×D4—838no—
1303C4×D4C22×D8318yes—
1304#117—838no—
1305#117—838no—
1306#117—838no—
1307#117—838no—
1308#117—838no—
1309#117—838no—
1310#117—838no—
1311#117—838no—
1312#117—838no—
1313#117C22×D8318yes—
1314#117C22×D8318yescomplemented
1315#117C22×D8318yescomplemented
1316C2×C4⋊C4—831no—
1317C2×C4⋊C4—831no—
1318C2×C4⋊C4—831no—
1319C2×C4⋊C4—831no—
1320C2×C4⋊C4—831no—
1321C2×C4⋊C4—831no—
1322C2×C4⋊C4—831no—
1323C2×C4⋊C4—831no—
1324C2×C4⋊C4—831no—
1325C2×C4⋊C4—831no—
1326C2×C4⋊C4—831no—
1327C2×C4⋊C4—831no—
1328C2×C4⋊C4—831no—
1329C2×C4⋊C4—831no—
1330C2×C4⋊C4—831no—
1331C2×C4⋊C4—831no—
1332C2×C4⋊C4—831no—
1333C2×C4⋊C4—831no—
1334C2×C4⋊C4—831no—
1335C2×C4⋊C4—831no—
1336C2×C4⋊C4—831no—
1337C2×C4⋊C4—831no—
1338C2×C4⋊C4—831no—
1339C2×C4⋊C4—831no—
1340C2×C4⋊C4—831no—
1341C2×C4⋊C4—831no—
1342C2×C4⋊C4—831no—
1343C2×C4⋊C4—831no—
1344C2×C4⋊C4—831no—
1345C2×C4⋊C4—831no—
1346C2×C4⋊C4—831no—
1347C2×C4⋊C4—831no—
1348C2×C4⋊C4—831no—
1349C2×C4⋊C4—831no—
1350C2×C4⋊C4—831no—
1351C2×C4⋊C4—831no—
1352C2×C4⋊C4—831no—
1353C2×C4⋊C4—831no—
1354C2×C4⋊C4—831no—
1355C2×C4⋊C4—831no—
1356C2×C4⋊C4—831no—
1357C2×C4⋊C4—831no—
1358C2×C4⋊C4—831no—
1359C2×C4⋊C4—831no—
1360C2×C4⋊C4—831no—
1361C2×C4⋊C4—831no—
1362C2×C4⋊C4—838no—
1363C2×C4⋊C4—838no—
1364C2×C4⋊C4—838no—
1365C2×C4⋊C4—838no—
1366C2×C4⋊C4C22×D8311yescharacteristic
1367C2×C4⋊C4C22×D8311yescharacteristic
1368C2×C4⋊C4C22×D8311yescharacteristic
1369C2×C4⋊C4C22×D8311yescharacteristic
1370C2×C4⋊C4C22×D8311yescharacteristic
1371C2×C4⋊C4C22×D8311yescharacteristic
1372C2×C4⋊C4C22×D8311yescharacteristic
1373C2×C4⋊C4C22×D8311yescharacteristic
1374C2×C4⋊C4C22×D8311yescharacteristic
1375C2×C4⋊C4C22×D8311yescharacteristic
1376C2×C4⋊C4C22×D8311yescharacteristic
1377C2×C4⋊C4C22×D8311yescharacteristic
1378C2×C4⋊C4C22×D8311yescharacteristic
1379C2×C4⋊C4C22×D8311yescharacteristic
1380C2×C4⋊C4C22×D8311yescharacteristic
1381C2×C4⋊C4C22×D8311yescharacteristic
1382C2×C4⋊C4C22×D8318yescomplemented
1383C2×C22⋊C4—831no—
1384C2×C22⋊C4—831no—
1385C2×C22⋊C4—831no—
1386C2×C22⋊C4—831no—
1387C2×C22⋊C4—831no—
1388C2×C22⋊C4—831no—
1389C2×C22⋊C4—831no—
1390C2×C22⋊C4—831no—
1391C2×C22⋊C4—831no—
1392C2×C22⋊C4—831no—
1393C2×C22⋊C4—831no—
1394C2×C22⋊C4—831no—
1395C2×C22⋊C4—831no—
1396C2×C22⋊C4—831no—
1397C2×C22⋊C4—831no—
1398C2×C22⋊C4—831no—
1399C2×C22⋊C4—831no—
1400C2×C22⋊C4—831no—
1401C2×C22⋊C4—831no—
1402C2×C22⋊C4—831no—
1403C2×C22⋊C4—831no—
1404C2×C22⋊C4—831no—
1405C2×C22⋊C4—838no—
1406C2×C22⋊C4—831no—
1407C2×C22⋊C4—831no—
1408C2×C22⋊C4—831no—
1409C2×C22⋊C4—831no—
1410C2×C22⋊C4—831no—
1411C2×C22⋊C4—831no—
1412C2×C22⋊C4—831no—
1413C2×C22⋊C4—831no—
1414C2×C22⋊C4—831no—
1415C2×C22⋊C4—831no—
1416C2×C22⋊C4—831no—
1417C2×C22⋊C4—831no—
1418C2×C22⋊C4—838no—
1419C2×C22⋊C4—838no—
1420C2×C22⋊C4—838no—
1421C2×C22⋊C4—838no—
1422C2×C22⋊C4C22×D8311yescharacteristic
1423C2×C22⋊C4C22×D8311yescharacteristic
1424C2×C22⋊C4C22×D8311yescharacteristic
1425C2×C22⋊C4C22×D8311yescharacteristic
1426C2×C22⋊C4C22×D8311yescharacteristic
1427C2×C22⋊C4C22×D8311yescharacteristic
1428C2×C22⋊C4C22×D8311yescharacteristic
1429C2×C22⋊C4C22×D8311yescharacteristic
1430C2×C42—831no—
1431C2×C42—831no—
1432C2×C42—831no—
1433C2×C42—831no—
1434C2×C42—831no—
1435C2×C42—831no—
1436C2×C42—831no—
1437C2×C42—831no—
1438C2×C42—831no—
1439C2×C42—831no—
1440C2×C42—831no—
1441C2×C42—831no—
1442C2×C42—831no—
1443C2×C42—838no—
1444C2×C42C22×D8311yescharacteristic
1445C2×C42C22×D8311yescharacteristic
1446C2×C42C22×D8311yescharacteristic
1447C2×C42C22×D8311yescharacteristic
1448C2×C42C22×D8311yescharacteristic
1449C24—3322no—
1450C24—3322no—
1451C24—834no—
1452C24—831no—
1453C24—831no—
1454C24—831no—
1455C24—1664no—
1456C24C23×D8311yescharacteristic
1457C24C23×D8311yescharacteristic
1458C2×Q8—42no—
1459C2×Q8—3322no—
1460C2×Q8—3322no—
1461C2×Q8—3322no—
1462C2×Q8—3322no—
1463C2×Q8—3322no—
1464C2×Q8—3322no—
1465C2×Q8—3322no—
1466C2×Q8—3322no—
1467C2×Q8—834no—
1468C2×Q8—834no—
1469C2×Q8—834no—
1470C2×Q8—834no—
1471C2×Q8—834no—
1472C2×Q8—834no—
1473C2×Q8—834no—
1474C2×Q8—834no—
1475C2×Q8C23×D8314yes—
1476C2×D4—42no—
1477C2×D4—3322no—
1478C2×D4—3322no—
1479C2×D4—3322no—
1480C2×D4—3322no—
1481C2×D4—834no—
1482C2×D4—834no—
1483C2×D4—834no—
1484C2×D4—834no—
1485C2×D4—834no—
1486C2×D4—834no—
1487C2×D4—1664no—
1488C2×D4—1664no—
1489C2×D4C23×D8314yes—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—3322no—
1495C22×C4—3322no—
1496C22×C4—3322no—
1497C22×C4—3322no—
1498C22×C4—3322no—
1499C22×C4—3322no—
1500C22×C4—3322no—
1501C22×C4—3322no—
1502C22×C4—3322no—
1503C22×C4—3322no—
1504C22×C4—834no—
1505C22×C4—834no—
1506C22×C4—834no—
1507C22×C4—834no—
1508C22×C4—834no—
1509C22×C4—834no—
1510C22×C4—834no—
1511C22×C4—834no—
1512C22×C4—834no—
1513C22×C4—834no—
1514C22×C4—831no—
1515C22×C4—831no—
1516C22×C4—831no—
1517C22×C4—831no—
1518C22×C4—831no—
1519C22×C4—831no—
1520C22×C4—831no—
1521C22×C4—831no—
1522C22×C4—831no—
1523C22×C4—831no—
1524C22×C4—831no—
1525C22×C4—831no—
1526C22×C4—831no—
1527C22×C4—834no—
1528C22×C4—834no—
1529C22×C4—1664no—
1530C22×C4—1664no—
1531C22×C4C23×D8311yescharacteristic
1532C22×C4C23×D8311yescharacteristic
1533C22×C4C23×D8311yescharacteristic
1534C22×C4C23×D8311yescharacteristic
1535C22×C4C23×D8311yescharacteristic
1536C22×C4C23×D8311yescharacteristic
1537C22×C4C23×D8311yescharacteristic
1538C22×C4C23×D8311yescharacteristic
1539C22×C4C23×D8311yescharacteristic
1540C22×C4C23×D8311yescharacteristic
1541C22×C4C23×D8311yescharacteristic
1542C22×C4C23×D8311yescharacteristic
1543C22×C4C23×D8311yescharacteristic
1544C22×C4C23×D8314yes—
1545C22×C4C23×D8314yes—
1546C22×C4C23×D8314yes—
1547C22×C4C23×D8314yes—
1548C4⋊C4—834no—
1549C4⋊C4—834no—
1550C4⋊C4—834no—
1551C4⋊C4—834no—
1552C4⋊C4—834no—
1553C4⋊C4—834no—
1554C4⋊C4—834no—
1555C4⋊C4—834no—
1556C4⋊C4—834no—
1557C4⋊C4—834no—
1558C4⋊C4—834no—
1559C4⋊C4—834no—
1560C4⋊C4—834no—
1561C4⋊C4—834no—
1562C4⋊C4—834no—
1563C4⋊C4—834no—
1564C4⋊C4—834no—
1565C4⋊C4—834no—
1566C4⋊C4—834no—
1567C4⋊C4—834no—
1568C4⋊C4—834no—
1569C4⋊C4—834no—
1570C4⋊C4—834no—
1571C4⋊C4—834no—
1572C4⋊C4—834no—
1573C4⋊C4—834no—
1574C4⋊C4—834no—
1575C4⋊C4—834no—
1576C4⋊C4—834no—
1577C4⋊C4—834no—
1578C4⋊C4—834no—
1579C4⋊C4—834no—
1580C4⋊C4—834no—
1581C4⋊C4—834no—
1582C4⋊C4—834no—
1583C4⋊C4—834no—
1584C4⋊C4—834no—
1585C4⋊C4—834no—
1586C4⋊C4—834no—
1587C4⋊C4—834no—
1588C4⋊C4—834no—
1589C4⋊C4—834no—
1590C4⋊C4—834no—
1591C4⋊C4—834no—
1592C4⋊C4—834no—
1593C4⋊C4—834no—
1594C4⋊C4C23×D8314yes—
1595C4⋊C4C23×D8314yes—
1596C4⋊C4C23×D8314yes—
1597C4⋊C4C23×D8314yes—
1598C4⋊C4C23×D8314yes—
1599C4⋊C4C23×D8314yes—
1600C4⋊C4C23×D8314yes—
1601C4⋊C4C23×D8314yes—
1602C4⋊C4C23×D8314yes—
1603C4⋊C4C23×D8314yes—
1604C4⋊C4C23×D8314yes—
1605C4⋊C4C23×D8314yes—
1606C4⋊C4C23×D8314yes—
1607C4⋊C4C23×D8314yes—
1608C4⋊C4C23×D8314yes—
1609C4⋊C4C23×D8314yes—
1610C22⋊C4—834no—
1611C22⋊C4—834no—
1612C22⋊C4—834no—
1613C22⋊C4—834no—
1614C22⋊C4—834no—
1615C22⋊C4—834no—
1616C22⋊C4—834no—
1617C22⋊C4—834no—
1618C22⋊C4—834no—
1619C22⋊C4—834no—
1620C22⋊C4—834no—
1621C22⋊C4—834no—
1622C22⋊C4—834no—
1623C22⋊C4—834no—
1624C22⋊C4—834no—
1625C22⋊C4—834no—
1626C22⋊C4—834no—
1627C22⋊C4—834no—
1628C22⋊C4—834no—
1629C22⋊C4—834no—
1630C22⋊C4—834no—
1631C22⋊C4—834no—
1632C22⋊C4—834no—
1633C22⋊C4—834no—
1634C22⋊C4—834no—
1635C22⋊C4—834no—
1636C22⋊C4—834no—
1637C22⋊C4—834no—
1638C22⋊C4—834no—
1639C22⋊C4—834no—
1640C22⋊C4—834no—
1641C22⋊C4—834no—
1642C22⋊C4—834no—
1643C22⋊C4—834no—
1644C22⋊C4C23×D8314yes—
1645C22⋊C4C23×D8314yes—
1646C22⋊C4C23×D8314yes—
1647C22⋊C4C23×D8314yes—
1648C22⋊C4C23×D8314yes—
1649C22⋊C4C23×D8314yes—
1650C22⋊C4C23×D8314yes—
1651C22⋊C4C23×D8314yes—
1652C42—834no—
1653C42—834no—
1654C42—834no—
1655C42—834no—
1656C42—834no—
1657C42—834no—
1658C42—834no—
1659C42—834no—
1660C42—834no—
1661C42—834no—
1662C42—834no—
1663C42—834no—
1664C42—834no—
1665C42C23×D8314yes—
1666C42C23×D8314yes—
1667C42C23×D8314yes—
1668C42C23×D8314yes—
1669C42C23×D8314yes—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—3324no—
1677C23—3324no—
1678C23—834no—
1679C23—832no—
1680C23—832no—
1681C23—832no—
1682C23—6648no—
1683C23—1668no—
1684C23—1662no—
1685C23—1662no—
1686C23—1662no—
1687C23—1662no—
1688C23—1662no—
1689C23—1662no—
1690C23—1662no—
1691C23—1662no—
1692C23C24×D8312yes—
1693C23C24×D8312yes—
1694C23C24×D8311yescharacteristic
1695Q8—44no—
1696Q8—3324no—
1697Q8—3324no—
1698Q8—3324no—
1699Q8—3324no—
1700Q8—3324no—
1701Q8—3324no—
1702Q8—3324no—
1703Q8—3324no—
1704D4—44no—
1705D4—3324no—
1706D4—3324no—
1707D4—3324no—
1708D4—3324no—
1709D4—1668no—
1710D4—1668no—
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—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—3324no—
1729C2×C4—3324no—
1730C2×C4—3324no—
1731C2×C4—3324no—
1732C2×C4—3324no—
1733C2×C4—3324no—
1734C2×C4—3324no—
1735C2×C4—3324no—
1736C2×C4—3324no—
1737C2×C4—3324no—
1738C2×C4—832no—
1739C2×C4—832no—
1740C2×C4—832no—
1741C2×C4—832no—
1742C2×C4—832no—
1743C2×C4—832no—
1744C2×C4—832no—
1745C2×C4—832no—
1746C2×C4—832no—
1747C2×C4—832no—
1748C2×C4—832no—
1749C2×C4—832no—
1750C2×C4—832no—
1751C2×C4—1668no—
1752C2×C4—1668no—
1753C2×C4—1662no—
1754C2×C4—1662no—
1755C2×C4—1662no—
1756C2×C4—1662no—
1757C2×C4—1662no—
1758C2×C4—1662no—
1759C2×C4—1662no—
1760C2×C4—1662no—
1761C2×C4—1662no—
1762C2×C4—1662no—
1763C2×C4—1662no—
1764C2×C4—1662no—
1765C2×C4—1662no—
1766C2×C4C24×D8312yes—
1767C2×C4C24×D8312yes—
1768C2×C4C24×D8312yes—
1769C2×C4C24×D8312yes—
1770C2×C4C24×D8312yes—
1771C2×C4C24×D8312yes—
1772C2×C4C24×D8312yes—
1773C2×C4C24×D8312yes—
1774C2×C4C24×D8312yes—
1775C2×C4C24×D8312yes—
1776C2×C4C24×D8312yes—
1777C2×C4C24×D8312yes—
1778C2×C4C24×D8312yes—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—44no—
1786C22—44no—
1787C22—3324no—
1788C22—3324no—
1789C22—834no—
1790C22—6648no—
1791C22—1662no—
1792C22—1662no—
1793C22—1662no—
1794C22—1662no—
1795C22—1662no—
1796C22—1662no—
1797C22—1662no—
1798C22—1662no—
1799C22—1668no—
1800C222−1+4×D8312yes—
1801C22#1912853712yes—
1802C22#1912853712yes—
1803C22C25×D8311yescharacteristic
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—1662no—
1818C4—1662no—
1819C4—1662no—
1820C4—1662no—
1821C4—1662no—
1822C4—1662no—
1823C4—1662no—
1824C4—1662no—
1825C4—1662no—
1826C4—1662no—
1827C4—1662no—
1828C4—1662no—
1829C4—1662no—
1830C2—42no—
1831C2—42no—
1832C2—3322no—
1833C2—3322no—
1834C2—1664no—
1835C2#2492207414yesdirect product factor
1836C2C2×2−1+4×D8311yescharacteristic
1837C2C2×#1912853711yescharacteristic
1838C2C2×#1912853711yescharacteristic
subgroupG/H
centerC23C24×D83
commutator, cosocleC22×C83C26
FrattiniC22C25×D83
FittingC2×#552×C83C2
socleC23×C83C25
prime radicalC2×#19128287C2
hypercenterC2×#552D83
hypocenterC83C2×#3564
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #24922074C2direct (N × H)
2. C2×#19128455C2semidirect
3. C2×#19128454C2semidirect
4. C2×#19128452C2semidirect
5. C2×#19128452C2semidirect
6. C2×#19128419C2semidirect
7. C2×#19128418C2semidirect
8. C2×#19128407C2semidirect
9. C2×#19128406C2semidirect
10. C2×#19128392C2semidirect
11. C2×#19128390C2semidirect
12. C2×#19128383C2semidirect
13. C2×#19128380C2semidirect
14. C2×#19128379C2semidirect
15. C2×#19128376C2semidirect
16. C2×#19128375C2semidirect
17. C2×#19128331C2semidirect
18. C2×#19128326C2semidirect
19. C2×#19128322C2semidirect
20. C2×#19128316C2semidirect
21. C2×#19128313C2semidirect
22. C2×#19128310C2semidirect
23. C2×#19128310C2semidirect
24. C2×#19128308C2semidirect
25. C2×#19128298C2semidirect
26. C2×#19128297C2semidirect
27. C2×#19128294C2semidirect
29. C2×#19128255C2semidirect
30. C2×#19128229C2semidirect
31. C2×#126×D83C2semidirect
32. C2×#552×C83C2semidirect
33. #19128455C22semidirect
34. #19128454C22semidirect
35. #19128452C22semidirect
36. #19128452C22semidirect
37. #19128419C22semidirect
38. #19128418C22semidirect
39. #19128407C22semidirect
40. #19128406C22semidirect
41. #19128392C22semidirect
42. #19128390C22semidirect
43. #19128383C22semidirect
44. #19128380C22semidirect
45. #19128379C22semidirect
46. #19128376C22semidirect
47. #19128375C22semidirect
48. #19128331C22semidirect
49. #19128326C22semidirect
50. #19128322C22semidirect
51. #19128316C22semidirect
52. #19128313C22semidirect
53. #19128310C22semidirect
54. #19128310C22semidirect
55. #19128308C22semidirect
56. #19128298C22semidirect
57. #19128297C22semidirect
58. #19128294C22semidirect
60. #19128255C22semidirect
61. C2×#14581792C22semidirect
62. C2×#14581791C22semidirect
63. C2×#14581791C22semidirect
64. C2×#14581791C22semidirect
65. C2×#14581791C22semidirect
66. C2×#14581791C22semidirect
67. C2×#14581791C22semidirect
68. C2×#14581790C22semidirect
69. #19128229C22semidirect
76. C2×#14581787C22semidirect
77. C2×#14581787C22semidirect
78. C2×#14581787C22semidirect
79. C2×#14581787C22semidirect
90. C2×#14581785C22semidirect
91. C2×#14581785C22semidirect
92. C2×#14581785C22semidirect
93. C2×#14581785C22semidirect
94. #126×D83C22semidirect
95. C2×#14581784C22semidirect
96. C2×#14581784C22semidirect
97. C2×#14581783C22semidirect
98. C2×#14581783C22semidirect
99. C2×#14581783C22semidirect
100. C2×#14581782C22semidirect
101. C2×#14581782C22semidirect
102. C2×#14581782C22semidirect
103. C2×#14581782C22semidirect
104. C2×#14581782C22semidirect
105. C2×#14581782C22semidirect
106. C2×#14581782C22semidirect
107. C2×#14581782C22semidirect
108. C2×#14581782C22semidirect
109. C2×#14581782C22semidirect
110. C2×#14581782C22semidirect
117. C2×#14581778C22semidirect
125. C2×#14581775C22semidirect
130. C2×#14581774C22semidirect
136. C2×#14581772C22semidirect
139. C2×#14581771C22semidirect
140. C2×#14581771C22semidirect
141. C2×#14581771C22semidirect
142. C2×#14581771C22semidirect
152. C2×#14581770C22semidirect
153. C2×#14581770C22semidirect
154. C2×#14581770C22semidirect
160. C2×#14581768C22semidirect
166. C2×C4×Dic166C22semidirect
167. C2×C4×Dic166C22semidirect
168. C2×C4×Dic166C22semidirect
169. C2×C4×Dic166C22semidirect
170. C2×C4×Dic166C22semidirect
171. C2×#14581757C22semidirect
172. C2×#14581757C22semidirect
173. C2×#14581757C22semidirect
182. C2×C4×C22⋊D83C22semidirect
190. C2×#14581749C22semidirect
191. C2×#14581749C22semidirect
196. C2×C4⋊C4×D83C22semidirect
203. #552×C83C22semidirect
206. C2×#125×C83C22semidirect
207. C2×#125×C83C22semidirect
208. C2×#125×C83C22semidirect
212. C2×C22⋊Q8×C83C22semidirect
213. C2×C4×Q8×C83C22semidirect
216. C2×#117×C83C22semidirect
217. C2×#117×C83C22semidirect
218. C22×C4⋊C4×C83C22semidirect
246. #14581792C23semidirect
247. #14581791C23semidirect
248. #14581791C23semidirect
249. #14581791C23semidirect
250. #14581791C23semidirect
251. #14581791C23semidirect
252. #14581791C23semidirect
253. #14581790C23semidirect
260. #14581787C23semidirect
261. #14581787C23semidirect
262. #14581787C23semidirect
263. #14581787C23semidirect
274. #14581785C23semidirect
275. #14581785C23semidirect
276. #14581785C23semidirect
277. #14581785C23semidirect
278. #14581784C23semidirect
279. #14581784C23semidirect
280. #14581783C23semidirect
281. #14581783C23semidirect
282. #14581783C23semidirect
283. #14581782C23semidirect
284. #14581782C23semidirect
285. #14581782C23semidirect
286. #14581782C23semidirect
287. #14581782C23semidirect
288. #14581782C23semidirect
289. #14581782C23semidirect
290. #14581782C23semidirect
291. #14581782C23semidirect
292. #14581782C23semidirect
293. #14581782C23semidirect
300. #14581778C23semidirect
308. #14581775C23semidirect
313. #14581774C23semidirect
319. #14581772C23semidirect
322. #14581771C23semidirect
323. #14581771C23semidirect
324. #14581771C23semidirect
325. #14581771C23semidirect
335. #14581770C23semidirect
336. #14581770C23semidirect
337. #14581770C23semidirect
343. #14581768C23semidirect
349. C4×Dic166C23semidirect
350. C4×Dic166C23semidirect
351. C4×Dic166C23semidirect
352. C4×Dic166C23semidirect
353. C4×Dic166C23semidirect
354. #14581757C23semidirect
355. #14581757C23semidirect
356. #14581757C23semidirect
365. C4×C22⋊D83C23semidirect
373. #14581749C23semidirect
374. #14581749C23semidirect
425. C4⋊C4×D83C23semidirect
487. #125×C83C23semidirect
488. #125×C83C23semidirect
489. #125×C83C23semidirect
493. C22⋊Q8×C83C23semidirect
494. C4×Q8×C83C23semidirect
497. #117×C83C23semidirect
498. #117×C83C23semidirect
515. C2×C4⋊C4×C83C23semidirect
913. C2×C83#3564semidirect
932. C2×#552D83semidirect
952. C83C2×#3564semidirect
964. #552C2×D83semidirect
1034. C2×#125C2×D83semidirect
1035. C2×#125C2×D83semidirect
1036. C2×#125C2×D83semidirect
1090. C2×C22⋊Q8C2×D83semidirect
1104. C2×C4×Q8C2×D83semidirect
1126. C2×#117C2×D83semidirect
1127. C2×#117C2×D83semidirect
1132. C22×C4⋊C4C2×D83semidirect
1222. #125C22×D83semidirect
1223. #125C22×D83semidirect
1224. #125C22×D83semidirect
1278. C22⋊Q8C22×D83semidirect
1292. C4×Q8C22×D83semidirect
1314. #117C22×D83semidirect
1315. #117C22×D83semidirect
1382. C2×C4⋊C4C22×D83semidirect
1835. C2#24922074direct (N × H)

Maximal subgroups

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

subgroupindex
#249220742
C2×#191284552
C2×#191284542
C2×#191284522
C2×#191284192
C2×#191284182
C2×#191284072
C2×#191284062
C2×#191283922
C2×#191283902
C2×#191283832
C2×#191283802
C2×#191283792
C2×#191283762
C2×#191283752
C2×#191283312
C2×#191283262
C2×#191283222
C2×#191283162
C2×#191283132
C2×#191283102
C2×#191283082
C2×#191282982
C2×#191282972
C2×#191282942
C2×#191282872
C2×#191282552
C2×#191282292
C2×#126×D832
C2×#552×C832
C2×#356483