Finite Group Databasebeta

← C2×#24922088 #36311791

Subgroups — C2×#24922088 #36311791

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#24922088C2132yesmaximal, direct product factor
2C2×#19128454C211yesmaximal, characteristic, complemented
3C2×#19128452C211yesmaximal, characteristic, complemented
4C2×#19128452C211yesmaximal, characteristic, complemented
5C2×#19128451C211yesmaximal, characteristic, complemented
6C2×#19128420C211yesmaximal, characteristic, complemented
7C2×#19128418C211yesmaximal, characteristic, complemented
8C2×#19128409C211yesmaximal, characteristic, complemented
9C2×#19128405C211yesmaximal, characteristic, complemented
10C2×#19128391C211yesmaximal, characteristic, complemented
11C2×#19128390C211yesmaximal, characteristic, complemented
12C2×#19128387C211yesmaximal, characteristic, complemented
13C2×#19128384C211yesmaximal, characteristic, complemented
14C2×#19128381C211yesmaximal, characteristic, complemented
15C2×#19128381C211yesmaximal, characteristic, complemented
16C2×#19128380C211yesmaximal, characteristic, complemented
17C2×#19128374C211yesmaximal, characteristic, complemented
18C2×#19128328C211yesmaximal, characteristic, complemented
19C2×#19128326C211yesmaximal, characteristic, complemented
20C2×#19128315C211yesmaximal, characteristic, complemented
21C2×#19128312C211yesmaximal, characteristic, complemented
22C2×#19128311C211yesmaximal, characteristic, complemented
23C2×#19128309C211yesmaximal, characteristic, complemented
24C2×#19128308C211yesmaximal, characteristic, complemented
25C2×#19128296C211yesmaximal, characteristic, complemented
26C2×#19128295C211yesmaximal, characteristic, complemented
27C2×#19128294C211yesmaximal, characteristic, complemented
28C2×#19128283C211yesmaximal, characteristic
29C2×#19128255C211yesmaximal, characteristic, complemented
30C2×#19128230C211yesmaximal, characteristic, complemented
31C2×#126×D83C211yesmaximal, characteristic, complemented
32C2×#542×C83C211yesmaximal, characteristic, complemented
33#19128454C22116yescomplemented
34#19128452C22116yescomplemented
35#19128452C22116yescomplemented
36#19128451C22116yescomplemented
37#19128420C22116yescomplemented
38#19128418C22116yescomplemented
39#19128409C22116yescomplemented
40#19128405C22116yescomplemented
41#19128391C22116yescomplemented
42#19128390C22116yescomplemented
43#19128387C22116yescomplemented
44#19128384C22116yescomplemented
45#19128381C22116yescomplemented
46#19128381C22116yescomplemented
47#19128380C22116yescomplemented
48#19128374C22116yescomplemented
49#19128328C22116yescomplemented
50#19128326C22116yescomplemented
51#19128315C22116yescomplemented
52#19128312C22116yescomplemented
53#19128311C22116yescomplemented
54#19128309C22116yescomplemented
55#19128308C22116yescomplemented
56#19128296C22116yescomplemented
57#19128295C22116yescomplemented
58#19128294C22116yescomplemented
59#19128283C22116yes—
60#19128255C22116yescomplemented
61C2×#14581791C2211yescharacteristic, complemented
62C2×#14581791C2211yescharacteristic, complemented
63C2×#14581791C2211yescharacteristic, complemented
64C2×#14581790C2211yescharacteristic, complemented
65C2×#14581790C2211yescharacteristic, complemented
66C2×#14581790C2211yescharacteristic, complemented
67C2×#14581790C2211yescharacteristic, complemented
68#19128230C22116yescomplemented
69C2×#14581787C2211yescharacteristic
70C2×#14581787C2211yescharacteristic
71C2×#14581787C2211yescharacteristic
72C2×#14581787C2211yescharacteristic
73C2×#14581787C2211yescharacteristic
74C2×#14581787C2211yescharacteristic
75C2×#14581787C2211yescharacteristic
76C2×#14581786C2211yescharacteristic
77C2×#14581786C2211yescharacteristic
78C2×#14581785C2211yescharacteristic
79C2×#14581785C2211yescharacteristic
80C2×#14581785C2211yescharacteristic
81C2×#14581785C2211yescharacteristic
82C2×#14581785C2211yescharacteristic
83C2×#14581785C2211yescharacteristic
84C2×#14581785C2211yescharacteristic
85C2×#14581785C2211yescharacteristic
86C2×#14581785C2211yescharacteristic, complemented
87C2×#14581785C2211yescharacteristic, complemented
88C2×#14581785C2211yescharacteristic, complemented
89C2×#14581785C2211yescharacteristic, complemented
90C2×#14581785C2211yescharacteristic, complemented
91C2×#14581785C2211yescharacteristic, complemented
92C2×#14581785C2211yescharacteristic, complemented
93#126×D83C22116yescomplemented
94C2×#14581784C2211yescharacteristic, complemented
95C2×#14581784C2211yescharacteristic, complemented
96C2×#14581784C2211yescharacteristic, complemented
97C2×#14581784C2211yescharacteristic, complemented
98C2×#14581783C2211yescharacteristic, complemented
99C2×#14581783C2211yescharacteristic, complemented
100C2×#14581783C2211yescharacteristic, complemented
101C2×#14581783C2211yescharacteristic, 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×#14581782C2211yescharacteristic, complemented
112C2×#14581782C2211yescharacteristic, complemented
113C2×#14581779C2211yescharacteristic
114C2×#14581778C2211yescharacteristic
115C2×#14581778C2211yescharacteristic
116C2×#14581778C2211yescharacteristic
117C2×#14581776C2211yescharacteristic
118C2×#14581775C2211yescharacteristic
119C2×#14581775C2211yescharacteristic
120C2×#14581774C2211yescharacteristic
121C2×#14581774C2211yescharacteristic
122C2×#14581774C2211yescharacteristic
123C2×#14581774C2211yescharacteristic
124C2×#14581774C2211yescharacteristic
125C2×#14581774C2211yescharacteristic
126C2×#14581773C2211yescharacteristic
127C2×#14581773C2211yescharacteristic
128C2×#14581773C2211yescharacteristic
129C2×#14581773C2211yescharacteristic
130C2×#14581773C2211yescharacteristic, complemented
131C2×#14581772C2211yescharacteristic
132C2×#14581772C2211yescharacteristic
133C2×#14581772C2211yescharacteristic
134C2×#14581771C2211yescharacteristic
135C2×#14581771C2211yescharacteristic
136C2×#14581771C2211yescharacteristic, complemented
137C2×#14581771C2211yescharacteristic, complemented
138C2×#14581770C2211yescharacteristic
139C2×#14581770C2211yescharacteristic
140C2×#14581770C2211yescharacteristic
141C2×#14581770C2211yescharacteristic
142C2×#14581770C2211yescharacteristic
143C2×#14581770C2211yescharacteristic
144C2×#14581769C2211yescharacteristic
145C2×#14581769C2211yescharacteristic
146C2×#14581769C2211yescharacteristic
147C2×#14581769C2211yescharacteristic, complemented
148C2×#14581769C2211yescharacteristic, complemented
149C2×#14581769C2211yescharacteristic, complemented
150C2×#14581769C2211yescharacteristic, complemented
151C2×#14581769C2211yescharacteristic, complemented
152C2×#14581769C2211yescharacteristic, complemented
153C2×#14581768C2211yescharacteristic
154C2×#14581768C2211yescharacteristic
155C2×#14581768C2211yescharacteristic
156C2×#14581768C2211yescharacteristic
157C2×#14581768C2211yescharacteristic
158C2×#14581768C2211yescharacteristic
159C2×#14581764C2211yescharacteristic
160C2×#14581763C2211yescharacteristic
161C2×#14581760C2211yescharacteristic
162C2×#14581760C2211yescharacteristic
163C2×Q8×Dic83C2211yescharacteristic, complemented
164C2×Q8×Dic83C2211yescharacteristic, complemented
165C2×C4×Dic166C2211yescharacteristic, complemented
166C2×C4×Dic166C2211yescharacteristic, complemented
167C2×C4×Dic166C2211yescharacteristic, complemented
168C2×C4×Dic166C2211yescharacteristic, complemented
169C2×#14581757C2211yescharacteristic, complemented
170C2×#14581757C2211yescharacteristic, complemented
171C2×D4×Dic83C2211yescharacteristic
172C2×D4×Dic83C2211yescharacteristic, complemented
173C2×C4×C22⋊D83C2211yescharacteristic
174C2×C4×C22⋊D83C2211yescharacteristic
175C2×(C22⋊D83)⋊C4C2211yescharacteristic
176C2×(C22⋊D83)⋊C4C2211yescharacteristic
177C2×(C22⋊D83)⋊C4C2211yescharacteristic
178C2×(C22⋊D83)⋊C4C2211yescharacteristic
179C2×(C22⋊D83)⋊C4C2211yescharacteristic
180C2×(C22⋊D83)⋊C4C2211yescharacteristic
181C2×#14581751C2211yescharacteristic
182C2×#14581750C2211yescharacteristic
183C2×#14581749C2211yescharacteristic
184C2×#14581749C2211yescharacteristic
185C2×#14581749C2211yescharacteristic
186C2×#14581749C2211yescharacteristic
187C2×#14581749C2211yescharacteristic
188C2×#14581748C2211yescharacteristic
189C2×#14581748C2211yescharacteristic, complemented
190C2×#14581748C2211yescharacteristic, complemented
191C2×#14581748C2211yescharacteristic, complemented
192C22×C4⋊Dic83C2211yescharacteristic, complemented
193C22×Dic83⋊C4C2211yescharacteristic, complemented
194C2×C4⋊C4×D83C2211yescharacteristic
195C2×C4⋊C4×D83C2211yescharacteristic
196C2×C4⋊C4×D83C2211yescharacteristic
197C22×(C2×D83)⋊C4C2211yescharacteristic
198C2×C22⋊C4×D83C2211yescharacteristic
199C2×C22⋊C4×D83C2211yescharacteristic
200C2×C22⋊C4×D83C2211yescharacteristic
201C2×C22⋊C4×D83C2211yescharacteristic
202C2×C42×D83C2211yescharacteristic
203#542×C83C22116yescomplemented
204C2×C4⋊Q8×C83C2211yescharacteristic, complemented
205C2×#126×C83C2211yescharacteristic
206C2×#126×C83C2211yescharacteristic, complemented
207C2×#124×C83C2211yescharacteristic
208C2×#124×C83C2211yescharacteristic
209C2×#124×C83C2211yescharacteristic, complemented
210C2×#123×C83C2211yescharacteristic
211C2×#123×C83C2211yescharacteristic, complemented
212C2×C22⋊Q8×C83C2211yescharacteristic
213C2×C22⋊Q8×C83C2211yescharacteristic, complemented
214C2×C22⋊Q8×C83C2211yescharacteristic, complemented
215C2×#121×C83C2211yescharacteristic
216C2×C4×Q8×C83C2211yescharacteristic, complemented
217C2×C4×D4×C83C2211yescharacteristic
218C2×#117×C83C2211yescharacteristic, complemented
219C24×D83C2311yescharacteristic
220C22×Dic166C2311yescharacteristic
221C22×Dic166C2311yescharacteristic
222C22×Dic166C2311yescharacteristic
223C22×Dic166C2311yescharacteristic
224C22×Dic166C2311yescharacteristic
225C22×Dic166C2311yescharacteristic
226C22×C22⋊D83C2311yescharacteristic
227C22×C22⋊D83C2311yescharacteristic
228C22×C22⋊D83C2311yescharacteristic
229C22×C22⋊D83C2311yescharacteristic
230C23×Dic83C2311yescharacteristic
231C23×Dic83C2311yescharacteristic
232C23×Dic83C2311yescharacteristic
233C23×Dic83C2311yescharacteristic
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
243#14581791C2318yescomplemented
244#14581791C2318yescomplemented
245#14581791C2318yescomplemented
246#14581790C2318yescomplemented
247#14581790C2318yescomplemented
248#14581790C2318yescomplemented
249#14581790C2318yescomplemented
250#14581787C2318yes—
251#14581787C2318yes—
252#14581787C2318yes—
253#14581787C2318yes—
254#14581787C2318yes—
255#14581787C2318yes—
256#14581787C2318yes—
257#14581786C2318yes—
258#14581786C2318yes—
259#14581785C2318yes—
260#14581785C2318yes—
261#14581785C2318yes—
262#14581785C2318yes—
263#14581785C2318yes—
264#14581785C2318yes—
265#14581785C2318yes—
266#14581785C2318yes—
267#14581785C2318yescomplemented
268#14581785C2318yescomplemented
269#14581785C2318yescomplemented
270#14581785C2318yescomplemented
271#14581785C2318yescomplemented
272#14581785C2318yescomplemented
273#14581785C2318yescomplemented
274#14581784C2318yescomplemented
275#14581784C2318yescomplemented
276#14581784C2318yescomplemented
277#14581784C2318yescomplemented
278#14581783C2318yescomplemented
279#14581783C2318yescomplemented
280#14581783C2318yescomplemented
281#14581783C2318yescomplemented
282#14581782C2318yescomplemented
283#14581782C2318yescomplemented
284#14581782C2318yescomplemented
285#14581782C2318yescomplemented
286#14581782C2318yescomplemented
287#14581782C2318yescomplemented
288#14581782C2318yescomplemented
289#14581782C2318yescomplemented
290#14581782C2318yescomplemented
291#14581782C2318yescomplemented
292#14581782C2318yescomplemented
293#14581779C2318yes—
294#14581778C2318yes—
295#14581778C2318yes—
296#14581778C2318yes—
297#14581776C2318yes—
298#14581775C2318yes—
299#14581775C2318yes—
300#14581774C2318yes—
301#14581774C2318yes—
302#14581774C2318yes—
303#14581774C2318yes—
304#14581774C2318yes—
305#14581774C2318yes—
306#14581773C2318yes—
307#14581773C2318yes—
308#14581773C2318yes—
309#14581773C2318yes—
310#14581773C2318yescomplemented
311#14581772C2318yes—
312#14581772C2318yes—
313#14581772C2318yes—
314#14581771C2318yes—
315#14581771C2318yes—
316#14581771C2318yescomplemented
317#14581771C2318yescomplemented
318#14581770C2318yes—
319#14581770C2318yes—
320#14581770C2318yes—
321#14581770C2318yes—
322#14581770C2318yes—
323#14581770C2318yes—
324#14581769C2318yes—
325#14581769C2318yes—
326#14581769C2318yes—
327#14581769C2318yescomplemented
328#14581769C2318yescomplemented
329#14581769C2318yescomplemented
330#14581769C2318yescomplemented
331#14581769C2318yescomplemented
332#14581769C2318yescomplemented
333#14581768C2318yes—
334#14581768C2318yes—
335#14581768C2318yes—
336#14581768C2318yes—
337#14581768C2318yes—
338#14581768C2318yes—
339#14581764C2318yes—
340#14581763C2318yes—
341#14581760C2318yes—
342#14581760C2318yes—
343Q8×Dic83C2318yescomplemented
344Q8×Dic83C2318yescomplemented
345C4×Dic166C2318yescomplemented
346C4×Dic166C2318yescomplemented
347C4×Dic166C2318yescomplemented
348C4×Dic166C2318yescomplemented
349#14581757C2318yescomplemented
350#14581757C2318yescomplemented
351D4×Dic83C2318yes—
352D4×Dic83C2318yescomplemented
353C4×C22⋊D83C2318yes—
354C4×C22⋊D83C2318yes—
355(C22⋊D83)⋊C4C2318yes—
356(C22⋊D83)⋊C4C2318yes—
357(C22⋊D83)⋊C4C2318yes—
358(C22⋊D83)⋊C4C2318yes—
359(C22⋊D83)⋊C4C2318yes—
360(C22⋊D83)⋊C4C2318yes—
361#14581751C2318yes—
362#14581750C2318yes—
363#14581749C2318yes—
364#14581749C2318yes—
365#14581749C2318yes—
366#14581749C2318yes—
367#14581749C2318yes—
368#14581748C2318yes—
369#14581748C2318yescomplemented
370#14581748C2318yescomplemented
371#14581748C2318yescomplemented
372C2×C4⋊Dic83C2311yescharacteristic
373C2×C4⋊Dic83C2311yescharacteristic
374C2×C4⋊Dic83C2311yescharacteristic
375C2×C4⋊Dic83C2311yescharacteristic
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⋊Dic83C2318yescomplemented
389C2×Dic83⋊C4C2311yescharacteristic
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
422C2×Dic83⋊C4C2311yescharacteristic
423C2×Dic83⋊C4C2311yescharacteristic
424C2×Dic83⋊C4C2311yescharacteristic
425C2×Dic83⋊C4C2318yescomplemented
426C4⋊C4×D83C2318yes—
427C4⋊C4×D83C2318yes—
428C4⋊C4×D83C2318yes—
429C2×C22⋊Dic83C2311yescharacteristic
430C2×C22⋊Dic83C2311yescharacteristic
431C2×C22⋊Dic83C2311yescharacteristic
432C2×C22⋊Dic83C2311yescharacteristic
433C2×C22⋊Dic83C2311yescharacteristic
434C2×C22⋊Dic83C2311yescharacteristic
435C2×C22⋊Dic83C2311yescharacteristic
436C2×C22⋊Dic83C2311yescharacteristic
437C2×C22⋊Dic83C2311yescharacteristic
438C2×C22⋊Dic83C2311yescharacteristic
439C2×C22⋊Dic83C2311yescharacteristic
440C2×C22⋊Dic83C2311yescharacteristic
441C2×C22⋊Dic83C2311yescharacteristic
442C2×C22⋊Dic83C2311yescharacteristic
443C2×(C2×D83)⋊C4C2318yes—
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
460C22⋊C4×D83C2318yes—
461C22⋊C4×D83C2318yes—
462C22⋊C4×D83C2318yes—
463C22⋊C4×D83C2318yes—
464C2×C4×Dic83C2311yescharacteristic
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×Q8×C83C2311yescharacteristic
481C22×Q8×C83C2311yescharacteristic
482C22×D4×C83C2311yescharacteristic
483C22×D4×C83C2311yescharacteristic
484C22×D4×C83C2311yescharacteristic
485C23×C4×C83C2311yescharacteristic
486C23×C4×C83C2311yescharacteristic
487C23×C4×C83C2311yescharacteristic
488C4⋊Q8×C83C2318yescomplemented
489#126×C83C2318yes—
490#126×C83C2318yescomplemented
491#124×C83C2318yes—
492#124×C83C2318yes—
493#124×C83C2318yescomplemented
494#123×C83C2318yes—
495#123×C83C2318yescomplemented
496C22⋊Q8×C83C2318yes—
497C22⋊Q8×C83C2318yescomplemented
498C22⋊Q8×C83C2318yescomplemented
499#121×C83C2318yes—
500C4×Q8×C83C2318yescomplemented
501C4×D4×C83C2318yes—
502#117×C83C2318yescomplemented
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×C22⋊C4×C83C2311yescharacteristic
514C2×C22⋊C4×C83C2311yescharacteristic
515C2×C22⋊C4×C83C2311yescharacteristic
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×C22⋊C4×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×D83C2414yes—
535C2×Dic166—42no—
536C2×Dic166—42no—
537C2×Dic166—42no—
538C2×Dic166—42no—
539C2×Dic166—42no—
540C2×Dic166—42no—
541C2×Dic166C2414yes—
542C2×Dic166C2414yes—
543C2×Dic166C2414yes—
544C2×Dic166C2414yes—
545C2×Dic166C2414yes—
546C2×Dic166C2414yes—
547C2×C22⋊D83—24no—
548C2×C22⋊D83—24no—
549C2×C22⋊D83—42no—
550C2×C22⋊D83—42no—
551C2×C22⋊D83C2414yes—
552C2×C22⋊D83C2414yes—
553C2×C22⋊D83C2414yes—
554C2×C22⋊D83C2414yes—
555C22×Dic83—42no—
556C22×Dic83—42no—
557C22×Dic83—42no—
558C22×Dic83—42no—
559C22×Dic83—42no—
560C22×Dic83C2411yescharacteristic
561C22×Dic83C2411yescharacteristic
562C22×Dic83C2411yescharacteristic
563C22×Dic83C2411yescharacteristic
564C22×Dic83C2411yescharacteristic
565C22×Dic83C2411yescharacteristic
566C22×Dic83C2411yescharacteristic
567C22×Dic83C2411yescharacteristic
568C22×Dic83C2411yescharacteristic
569C22×Dic83C2411yescharacteristic
570C22×Dic83C2411yescharacteristic
571C22×Dic83C2411yescharacteristic
572C22×Dic83C2411yescharacteristic
573C22×Dic83C2411yescharacteristic
574C22×Dic83C2414yes—
575C22×Dic83C2414yes—
576C22×Dic83C2414yes—
577C22×Dic83C2414yes—
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×D83C2414yes—
588C2×C4×D83C2414yes—
589C2×C4×D83C2414yes—
590C2×C4×D83C2414yes—
591C2×C4×D83C2414yes—
592C2×C4×D83C2414yes—
593C2×C4×D83C2414yes—
594C2×C4×D83C2414yes—
595C4⋊Dic83C2414yes—
596C4⋊Dic83C2414yes—
597C4⋊Dic83C2414yes—
598C4⋊Dic83C2414yes—
599C4⋊Dic83C2414yes—
600C4⋊Dic83C2414yes—
601C4⋊Dic83C2414yes—
602C4⋊Dic83C2414yes—
603C4⋊Dic83C2414yes—
604C4⋊Dic83C2414yes—
605C4⋊Dic83C2414yes—
606C4⋊Dic83C2414yes—
607C4⋊Dic83C2414yes—
608C4⋊Dic83C2414yes—
609C4⋊Dic83C2414yes—
610C4⋊Dic83C2414yes—
611Dic83⋊C4C2414yes—
612Dic83⋊C4C2414yes—
613Dic83⋊C4C2414yes—
614Dic83⋊C4C2414yes—
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—
657C22⋊Dic83C2414yes—
658C22⋊Dic83C2414yes—
659C22⋊Dic83C2414yes—
660C22⋊Dic83C2414yes—
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—
677C4×Dic83C2414yes—
678C4×Dic83C2414yes—
679C4×Dic83C2414yes—
680C4×Dic83C2414yes—
681C4×Dic83C2414yes—
682C4×Dic83C2414yes—
683C4×Dic83C2414yes—
684C4×Dic83C2414yes—
685C4×Dic83C2414yes—
686C4×Dic83C2414yes—
687C4×Dic83C2414yes—
688C4×Dic83C2414yes—
689C4×Dic83C2414yes—
690C4×Dic83C2414yes—
691C24×C83C2411yescharacteristic
692C24×C83C2411yescharacteristic
693C24×C83C2411yescharacteristic
694C2×Q8×C83—42no—
695C2×Q8×C83—42no—
696C2×Q8×C83—42no—
697C2×Q8×C83C2414yes—
698C2×Q8×C83C2414yes—
699C2×Q8×C83C2414yes—
700C2×D4×C83—42no—
701C2×D4×C83—42no—
702C2×D4×C83—42no—
703C2×D4×C83C2414yes—
704C2×D4×C83C2414yes—
705C2×D4×C83C2414yes—
706C22×C4×C83—42no—
707C22×C4×C83—42no—
708C22×C4×C83—42no—
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×C83C2411yescharacteristic
718C22×C4×C83C2411yescharacteristic
719C22×C4×C83C2411yescharacteristic
720C22×C4×C83C2411yescharacteristic
721C22×C4×C83C2414yes—
722C22×C4×C83C2414yes—
723C22×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—
734C22⋊C4×C83C2414yes—
735C22⋊C4×C83C2414yes—
736C22⋊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—
745C22⋊C4×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×C83—22no—
757C23×C83—22no—
758C23×C83—22no—
759C23×C83C2512yes—
760C23×C83C2512yes—
761C23×C83C2512yes—
762C23×C83C2511yescharacteristic
763C22×D83—22no—
764C22×D83—22no—
765C22×D83—22no—
766C22×D83—22no—
767C22×D83—22no—
768C22×D83—28no—
769C22×D83—44no—
770C22×D83—44no—
771C22×D83—88no—
772C22×D832−1+414yes—
773C22×D83C2512yes—
774C22×D83C2512yes—
775Q8×C83—44no—
776Q8×C83—44no—
777Q8×C83—44no—
778D4×C83—44no—
779D4×C83—44no—
780D4×C83—44no—
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—22no—
791C2×C4×C83—22no—
792C2×C4×C83—22no—
793C2×C4×C83—44no—
794C2×C4×C83—44no—
795C2×C4×C83—44no—
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—
807C2×C4×C83C2512yes—
808C22⋊D83—28no—
809C22⋊D83—28no—
810C22⋊D83—44no—
811C22⋊D83—44no—
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—22no—
825C2×Dic83—22no—
826C2×Dic83—44no—
827C2×Dic83—44no—
828C2×Dic83—44no—
829C2×Dic83—44no—
830C2×Dic83—44no—
831C2×Dic83C2512yes—
832C2×Dic83C2512yes—
833C2×Dic83C2512yes—
834C2×Dic83C2512yes—
835C2×Dic83C2512yes—
836C2×Dic83C2512yes—
837C2×Dic83C2512yes—
838C2×Dic83C2512yes—
839C2×Dic83C2512yes—
840C2×Dic83C2512yes—
841C2×Dic83C2512yes—
842C2×Dic83C2512yes—
843C2×Dic83C2512yes—
844C2×Dic83C2512yes—
845C4×D83—28no—
846C4×D83—28no—
847C4×D83—44no—
848C4×D83—44no—
849C4×D83—44no—
850C4×D83—44no—
851C4×D83—44no—
852C4×D83—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—22no—
866C22×C83—22no—
867C22×C83—22no—
868C22×C83—44no—
869C22×C83—44no—
870C22×C83—44no—
871C22×C83C2×2−1+412yes—
872C22×C83#58512yes—
873C22×C83#58512yes—
874C22×C83C2611yescharacteristic
875C2×D83—22no—
876C2×D83—22no—
877C2×D83—28no—
878C2×D83—22no—
879C2×D83—22no—
880C2×D83—22no—
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—
896Dic83—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—42no—
914C2×C83#356414yescomplemented
915C2×C83C22×2−1+411yescharacteristic
916C2×C83C2×#58511yescharacteristic
917C2×C83C2×#58511yescharacteristic
918D83—24no—
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×#552—831no—
933C2×#551—831no—
934C2×#551—831no—
935C2×#551—831no—
936C2×#551—831no—
937C2×#544—831no—
938C2×#543—831no—
939C2×#542—831no—
940C2×#542D8311yescharacteristic, complemented
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#552—8316no—
965#551—8316no—
966#551—8316no—
967#551—8316no—
968#551—8316no—
969#544—8316no—
970#543—8316no—
971#542—8316no—
972#542C2×D83116yescomplemented
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⋊Q8C2×D8311yescharacteristic, complemented
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, complemented
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×#125—831no—
1035C2×#125—831no—
1036C2×#125—831no—
1037C2×#124—831no—
1038C2×#124—831no—
1039C2×#124—831no—
1040C2×#124—831no—
1041C2×#124C2×D8311yescharacteristic
1042C2×#124C2×D8311yescharacteristic
1043C2×#124C2×D8311yescharacteristic, complemented
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, complemented
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⋊Q8C2×D8311yescharacteristic
1089C2×C22⋊Q8C2×D8311yescharacteristic, complemented
1090C2×C22⋊Q8C2×D8311yescharacteristic, complemented
1091C2×#121—831no—
1092C2×#121—831no—
1093C2×#121C2×D8311yescharacteristic
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×#117—831no—
1126C2×#117—831no—
1127C2×#117C2×D8311yescharacteristic, complemented
1128C22×C4⋊C4—831no—
1129C22×C4⋊C4—831no—
1130C22×C4⋊C4—831no—
1131C22×C4⋊C4—831no—
1132C22×C4⋊C4—831no—
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×Q8C22×D8311yescharacteristic
1147C22×Q8C22×D8311yescharacteristic
1148C22×Q8C22×D8311yescharacteristic
1149C22×D4—831no—
1150C22×D4—831no—
1151C22×D4—831no—
1152C22×D4—831no—
1153C22×D4C22×D8311yescharacteristic
1154C22×D4C22×D8311yescharacteristic
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×C4—831no—
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⋊Q8C22×D8318yescomplemented
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×D8318yescomplemented
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#125—838no—
1223#125—838no—
1224#125—838no—
1225#124—838no—
1226#124—838no—
1227#124—838no—
1228#124—838no—
1229#124C22×D8318yes—
1230#124C22×D8318yes—
1231#124C22×D8318yescomplemented
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×D8318yescomplemented
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⋊Q8C22×D8318yes—
1277C22⋊Q8C22×D8318yescomplemented
1278C22⋊Q8C22×D8318yescomplemented
1279#121—838no—
1280#121—838no—
1281#121C22×D8318yes—
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#117—838no—
1314#117—838no—
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—838no—
1332C2×C4⋊C4—838no—
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—831no—
1363C2×C4⋊C4—831no—
1364C2×C4⋊C4—831no—
1365C2×C4⋊C4—831no—
1366C2×C4⋊C4—831no—
1367C2×C4⋊C4—831no—
1368C2×C4⋊C4—831no—
1369C2×C4⋊C4—831no—
1370C2×C4⋊C4—838no—
1371C2×C4⋊C4—838no—
1372C2×C4⋊C4—838no—
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×D8311yescharacteristic
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—831no—
1406C2×C22⋊C4—831no—
1407C2×C22⋊C4—831no—
1408C2×C22⋊C4—831no—
1409C2×C22⋊C4—838no—
1410C2×C22⋊C4—831no—
1411C2×C22⋊C4—831no—
1412C2×C22⋊C4—831no—
1413C2×C22⋊C4—831no—
1414C2×C22⋊C4—838no—
1415C2×C22⋊C4—838no—
1416C2×C22⋊C4—838no—
1417C2×C22⋊C4—838no—
1418C2×C22⋊C4C22×D8311yescharacteristic
1419C2×C22⋊C4C22×D8311yescharacteristic
1420C2×C22⋊C4C22×D8311yescharacteristic
1421C2×C22⋊C4C22×D8311yescharacteristic
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—831no—
1444C2×C42—838no—
1445C2×C42C22×D8311yescharacteristic
1446C2×C42C22×D8311yescharacteristic
1447C2×C42C22×D8311yescharacteristic
1448C2×C42C22×D8311yescharacteristic
1449C24—3322no—
1450C24—3322no—
1451C24—834no—
1452C24—831no—
1453C24—831no—
1454C24—1664no—
1455C24C23×D8311yescharacteristic
1456C24C23×D8311yescharacteristic
1457C24C23×D8311yescharacteristic
1458C2×Q8—42no—
1459C2×Q8—42no—
1460C2×Q8—42no—
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×Q8C23×D8314yes—
1474C2×Q8C23×D8314yes—
1475C2×Q8C23×D8314yes—
1476C2×D4—42no—
1477C2×D4—42no—
1478C2×D4—42no—
1479C2×D4—3322no—
1480C2×D4—3322no—
1481C2×D4—834no—
1482C2×D4—834no—
1483C2×D4—834no—
1484C2×D4—834no—
1485C2×D4—1664no—
1486C2×D4—1664no—
1487C2×D4C23×D8314yes—
1488C2×D4C23×D8314yes—
1489C2×D4C23×D8314yes—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—3322no—
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—834no—
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—831no—
1528C22×C4—831no—
1529C22×C4—834no—
1530C22×C4—834no—
1531C22×C4—1664no—
1532C22×C4—1664no—
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×D8311yescharacteristic
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⋊C4—834no—
1595C4⋊C4—834no—
1596C4⋊C4—834no—
1597C4⋊C4—834no—
1598C4⋊C4—834no—
1599C4⋊C4—834no—
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⋊C4C23×D8314yes—
1641C22⋊C4C23×D8314yes—
1642C22⋊C4C23×D8314yes—
1643C22⋊C4C23×D8314yes—
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—
1665C42—834no—
1666C42C23×D8314yes—
1667C42C23×D8314yes—
1668C42C23×D8314yes—
1669C42C23×D8314yes—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—3324no—
1680C23—3324no—
1681C23—834no—
1682C23—832no—
1683C23—832no—
1684C23—6648no—
1685C23—1668no—
1686C23—1662no—
1687C23—1662no—
1688C23—1662no—
1689C23—1662no—
1690C23—1662no—
1691C23C24×D8312yes—
1692C23C24×D8312yes—
1693C23C24×D8312yes—
1694C23C24×D8311yescharacteristic
1695Q8—44no—
1696Q8—44no—
1697Q8—44no—
1698Q8—3324no—
1699Q8—3324no—
1700Q8—3324no—
1701Q8—3324no—
1702Q8—3324no—
1703Q8—3324no—
1704D4—44no—
1705D4—44no—
1706D4—44no—
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—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—3324no—
1727C2×C4—3324no—
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—832no—
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×C4—1662no—
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—22no—
1786C22—22no—
1787C22—22no—
1788C22—44no—
1789C22—44no—
1790C22—44no—
1791C22—3324no—
1792C22—834no—
1793C22—6648no—
1794C22—1662no—
1795C22—1662no—
1796C22—1662no—
1797C22—1662no—
1798C22—1662no—
1799C22—1668no—
1800C222−1+4×D8312yes—
1801C22#1912853612yes—
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—1662no—
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—42no—
1833C2—3322no—
1834C2—1664no—
1835C2#2492208814yesdirect product factor
1836C2C2×2−1+4×D8311yescharacteristic
1837C2C2×#1912853611yescharacteristic
1838C2C2×#1912853711yescharacteristic
subgroupG/H
centerC23C24×D83
commutator, cosocleC22×C83C26
FrattiniC22C25×D83
FittingC2×#542×C83C2
socleC23×C83C25
prime radicalC2×#19128283C2
hypercenterC2×#542D83
hypocenterC83C2×#3564
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. #24922088C2direct (N × H)
2. C2×#19128454C2semidirect
3. C2×#19128452C2semidirect
4. C2×#19128452C2semidirect
5. C2×#19128451C2semidirect
6. C2×#19128420C2semidirect
7. C2×#19128418C2semidirect
8. C2×#19128409C2semidirect
9. C2×#19128405C2semidirect
10. C2×#19128391C2semidirect
11. C2×#19128390C2semidirect
12. C2×#19128387C2semidirect
13. C2×#19128384C2semidirect
14. C2×#19128381C2semidirect
15. C2×#19128381C2semidirect
16. C2×#19128380C2semidirect
17. C2×#19128374C2semidirect
18. C2×#19128328C2semidirect
19. C2×#19128326C2semidirect
20. C2×#19128315C2semidirect
21. C2×#19128312C2semidirect
22. C2×#19128311C2semidirect
23. C2×#19128309C2semidirect
24. C2×#19128308C2semidirect
25. C2×#19128296C2semidirect
26. C2×#19128295C2semidirect
27. C2×#19128294C2semidirect
29. C2×#19128255C2semidirect
30. C2×#19128230C2semidirect
31. C2×#126×D83C2semidirect
32. C2×#542×C83C2semidirect
33. #19128454C22semidirect
34. #19128452C22semidirect
35. #19128452C22semidirect
36. #19128451C22semidirect
37. #19128420C22semidirect
38. #19128418C22semidirect
39. #19128409C22semidirect
40. #19128405C22semidirect
41. #19128391C22semidirect
42. #19128390C22semidirect
43. #19128387C22semidirect
44. #19128384C22semidirect
45. #19128381C22semidirect
46. #19128381C22semidirect
47. #19128380C22semidirect
48. #19128374C22semidirect
49. #19128328C22semidirect
50. #19128326C22semidirect
51. #19128315C22semidirect
52. #19128312C22semidirect
53. #19128311C22semidirect
54. #19128309C22semidirect
55. #19128308C22semidirect
56. #19128296C22semidirect
57. #19128295C22semidirect
58. #19128294C22semidirect
60. #19128255C22semidirect
61. C2×#14581791C22semidirect
62. C2×#14581791C22semidirect
63. C2×#14581791C22semidirect
64. C2×#14581790C22semidirect
65. C2×#14581790C22semidirect
66. C2×#14581790C22semidirect
67. C2×#14581790C22semidirect
68. #19128230C22semidirect
86. C2×#14581785C22semidirect
87. C2×#14581785C22semidirect
88. C2×#14581785C22semidirect
89. C2×#14581785C22semidirect
90. C2×#14581785C22semidirect
91. C2×#14581785C22semidirect
92. C2×#14581785C22semidirect
93. #126×D83C22semidirect
94. C2×#14581784C22semidirect
95. C2×#14581784C22semidirect
96. C2×#14581784C22semidirect
97. C2×#14581784C22semidirect
98. C2×#14581783C22semidirect
99. C2×#14581783C22semidirect
100. C2×#14581783C22semidirect
101. C2×#14581783C22semidirect
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
111. C2×#14581782C22semidirect
112. C2×#14581782C22semidirect
130. C2×#14581773C22semidirect
136. C2×#14581771C22semidirect
137. C2×#14581771C22semidirect
147. C2×#14581769C22semidirect
148. C2×#14581769C22semidirect
149. C2×#14581769C22semidirect
150. C2×#14581769C22semidirect
151. C2×#14581769C22semidirect
152. C2×#14581769C22semidirect
163. C2×Q8×Dic83C22semidirect
164. C2×Q8×Dic83C22semidirect
165. C2×C4×Dic166C22semidirect
166. C2×C4×Dic166C22semidirect
167. C2×C4×Dic166C22semidirect
168. C2×C4×Dic166C22semidirect
169. C2×#14581757C22semidirect
170. C2×#14581757C22semidirect
172. C2×D4×Dic83C22semidirect
189. C2×#14581748C22semidirect
190. C2×#14581748C22semidirect
191. C2×#14581748C22semidirect
192. C22×C4⋊Dic83C22semidirect
193. C22×Dic83⋊C4C22semidirect
203. #542×C83C22semidirect
204. C2×C4⋊Q8×C83C22semidirect
206. C2×#126×C83C22semidirect
209. C2×#124×C83C22semidirect
211. C2×#123×C83C22semidirect
213. C2×C22⋊Q8×C83C22semidirect
214. C2×C22⋊Q8×C83C22semidirect
216. C2×C4×Q8×C83C22semidirect
218. C2×#117×C83C22semidirect
243. #14581791C23semidirect
244. #14581791C23semidirect
245. #14581791C23semidirect
246. #14581790C23semidirect
247. #14581790C23semidirect
248. #14581790C23semidirect
249. #14581790C23semidirect
267. #14581785C23semidirect
268. #14581785C23semidirect
269. #14581785C23semidirect
270. #14581785C23semidirect
271. #14581785C23semidirect
272. #14581785C23semidirect
273. #14581785C23semidirect
274. #14581784C23semidirect
275. #14581784C23semidirect
276. #14581784C23semidirect
277. #14581784C23semidirect
278. #14581783C23semidirect
279. #14581783C23semidirect
280. #14581783C23semidirect
281. #14581783C23semidirect
282. #14581782C23semidirect
283. #14581782C23semidirect
284. #14581782C23semidirect
285. #14581782C23semidirect
286. #14581782C23semidirect
287. #14581782C23semidirect
288. #14581782C23semidirect
289. #14581782C23semidirect
290. #14581782C23semidirect
291. #14581782C23semidirect
292. #14581782C23semidirect
310. #14581773C23semidirect
316. #14581771C23semidirect
317. #14581771C23semidirect
327. #14581769C23semidirect
328. #14581769C23semidirect
329. #14581769C23semidirect
330. #14581769C23semidirect
331. #14581769C23semidirect
332. #14581769C23semidirect
343. Q8×Dic83C23semidirect
344. Q8×Dic83C23semidirect
345. C4×Dic166C23semidirect
346. C4×Dic166C23semidirect
347. C4×Dic166C23semidirect
348. C4×Dic166C23semidirect
349. #14581757C23semidirect
350. #14581757C23semidirect
352. D4×Dic83C23semidirect
369. #14581748C23semidirect
370. #14581748C23semidirect
371. #14581748C23semidirect
388. C2×C4⋊Dic83C23semidirect
425. C2×Dic83⋊C4C23semidirect
488. C4⋊Q8×C83C23semidirect
490. #126×C83C23semidirect
493. #124×C83C23semidirect
495. #123×C83C23semidirect
497. C22⋊Q8×C83C23semidirect
498. C22⋊Q8×C83C23semidirect
500. C4×Q8×C83C23semidirect
502. #117×C83C23semidirect
914. C2×C83#3564semidirect
940. C2×#542D83semidirect
952. C83C2×#3564semidirect
972. #542C2×D83semidirect
989. C2×C4⋊Q8C2×D83semidirect
1017. C2×#126C2×D83semidirect
1043. C2×#124C2×D83semidirect
1059. C2×#123C2×D83semidirect
1089. C2×C22⋊Q8C2×D83semidirect
1090. C2×C22⋊Q8C2×D83semidirect
1104. C2×C4×Q8C2×D83semidirect
1127. C2×#117C2×D83semidirect
1179. C4⋊Q8C22×D83semidirect
1205. #126C22×D83semidirect
1231. #124C22×D83semidirect
1247. #123C22×D83semidirect
1277. C22⋊Q8C22×D83semidirect
1278. C22⋊Q8C22×D83semidirect
1292. C4×Q8C22×D83semidirect
1315. #117C22×D83semidirect
1835. C2#24922088direct (N × H)

Maximal subgroups

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

subgroupindex
#249220882
C2×#191284542
C2×#191284522
C2×#191284512
C2×#191284202
C2×#191284182
C2×#191284092
C2×#191284052
C2×#191283912
C2×#191283902
C2×#191283872
C2×#191283842
C2×#191283812
C2×#191283802
C2×#191283742
C2×#191283282
C2×#191283262
C2×#191283152
C2×#191283122
C2×#191283112
C2×#191283092
C2×#191283082
C2×#191282962
C2×#191282952
C2×#191282942
C2×#191282832
C2×#191282552
C2×#191282302
C2×#126×D832
C2×#542×C832
C2×#356483