Finite Group Databasebeta

← #13515241

Subgroups — #13515241

Order 1792.

2546 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90284C211yesmaximal, characteristic
2C7×#2358C211yesmaximal, characteristic, complemented
3#11740024C211yesmaximal, characteristic, complemented
4C4×#6501C211yesmaximal, characteristic, complemented
5#11739785C211yesmaximal, characteristic, complemented
6#11739784C211yesmaximal, characteristic, complemented
7#11739762C211yesmaximal, characteristic, complemented
8#11739544C211yesmaximal, characteristic, complemented
9#11739544C211yesmaximal, characteristic, complemented
10C2×#89716C211yesmaximal, characteristic, complemented
11#11739528C211yesmaximal, characteristic, complemented
12#11733750C211yesmaximal, characteristic, complemented
13#11733737C211yesmaximal, characteristic, complemented
14#11732931C211yesmaximal, characteristic, complemented
15#11732930C211yesmaximal, characteristic, complemented
16#11732915C211yesmaximal, characteristic, complemented
17#11732898C211yesmaximal, characteristic, complemented
18#11732126C211yesmaximal, characteristic, complemented
19#11732123C211yesmaximal, characteristic, complemented
20#11732123C211yesmaximal, characteristic, complemented
21#11732116C211yesmaximal, characteristic, complemented
22#11732114C211yesmaximal, characteristic, complemented
23#11732102C211yesmaximal, characteristic, complemented
24#11731843C211yesmaximal, characteristic, complemented
25#11731841C211yesmaximal, characteristic, complemented
26#11731834C211yesmaximal, characteristic, complemented
27#11731828C211yesmaximal, characteristic, complemented
28#11730920C211yesmaximal, characteristic, complemented
29#11730919C211yesmaximal, characteristic, complemented
30C4×#6442C211yesmaximal, characteristic, complemented
31C4×(C22⋊D7)⋊C4C211yesmaximal, characteristic, complemented
32C2×C7×#120C2211yescharacteristic
33C2×C4×C7×D4C2211yescharacteristic
34C2×C4×C7×D4C2211yescharacteristic
35C22×C7×C22⋊C4C2211yescharacteristic
36C22×C7×C22⋊C4C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C22×C22⋊Dic7C2211yescharacteristic
39C22×C22⋊Dic7C2211yescharacteristic
40C22×C22⋊Dic7C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6502C2211yescharacteristic
43C2×#6501C2211yescharacteristic
44C2×#6499C2211yescharacteristic
45C2×#6498C2211yescharacteristic
46C2×D4×Dic7C2211yescharacteristic
47C2×D4×Dic7C2211yescharacteristic
48C2×D4×Dic7C2211yescharacteristic
49C2×C4×C22⋊D7C2211yescharacteristic
50C2×C4×C22⋊D7C2211yescharacteristic
51C2×C4×C22⋊D7C2211yescharacteristic, complemented
52C22×Dic7⋊C4C2211yescharacteristic
53C22×C4×Dic7C2211yescharacteristic
54#90284C4116yescomplemented
55C2×#6450C2211yescharacteristic, complemented
56C2×#6448C2211yescharacteristic
57C2×#6446C2211yescharacteristic
58C2×(C22⋊D7)⋊C4C2211yescharacteristic
59C2×(C22⋊D7)⋊C4C2211yescharacteristic
60C2×(C22⋊D7)⋊C4C2211yescharacteristic
61C2×#6442C2211yescharacteristic
62C2×#6442C2211yescharacteristic
63C2×#6441C2211yescharacteristic
64C2×#6440C2211yescharacteristic, complemented
65C2×C42×D7C2211yescharacteristic, complemented
66C7×#390C2211yescharacteristic
67C7×#388C2211yescharacteristic
68C7×#388C2211yescharacteristic
69C7×#386C2211yescharacteristic
70C7×#386C2211yescharacteristic
71C7×#386C2211yescharacteristic
72C7×#385C2211yescharacteristic
73C7×#385C2211yescharacteristic
74C4×C7×C22⋊C4C2211yescharacteristic
75C4×C7×C22⋊C4C2211yescharacteristic
76#89993C2211yescharacteristic
77#89992C2211yescharacteristic
78#89992C2211yescharacteristic
79#89992C2211yescharacteristic
80#89985C2211yescharacteristic
81#89985C2211yescharacteristic
82#89982C2211yescharacteristic
83#89982C2211yescharacteristic
84#89982C2211yescharacteristic, complemented
85C4×C22⋊Dic7C2211yescharacteristic
86C4×C22⋊Dic7C2211yescharacteristic
87C4×C22⋊Dic7C2211yescharacteristic
88C4×C22⋊Dic7C2211yescharacteristic
89C4×C22⋊Dic7C2211yescharacteristic
90C4×C22⋊Dic7C2211yescharacteristic
91C4×C22⋊Dic7C2211yescharacteristic, complemented
92C2×C7⋊#95C2211yescharacteristic
93C2×C7⋊#95C2211yescharacteristic
94C2×C7⋊#95C2211yescharacteristic, complemented
95#89762C2211yescharacteristic, complemented
96#89761C2211yescharacteristic, complemented
97#89759C2211yescharacteristic, complemented
98#89750C2211yescharacteristic, complemented
99#89749C2211yescharacteristic, complemented
100C4⋊C4×Dic7C2211yescharacteristic, complemented
101C4⋊C4×Dic7C2211yescharacteristic, complemented
102#89745C2211yescharacteristic, complemented
103#89744C2211yescharacteristic, complemented
104#89744C2211yescharacteristic, complemented
105#89744C2211yescharacteristic, complemented
106#89730C2211yescharacteristic
107#89730C2211yescharacteristic
108#89730C2211yescharacteristic, complemented
109#89729C2211yescharacteristic
110#89729C2211yescharacteristic
111#89729C2211yescharacteristic, complemented
112#89728C2211yescharacteristic
113#89728C2211yescharacteristic
114#89728C2211yescharacteristic, complemented
115#89723C2211yescharacteristic
116#89723C2211yescharacteristic
117#89722C2211yescharacteristic
118#89722C2211yescharacteristic
119#89718C2211yescharacteristic
120#89718C2211yescharacteristic
121#89717C2211yescharacteristic
122#89717C2211yescharacteristic
123#89717C2211yescharacteristic, complemented
124#89716C2211yescharacteristic
125#89716C2211yescharacteristic
126#89716C2211yescharacteristic
127#89716C2211yescharacteristic
128#89716C2211yescharacteristic
129#89716C2211yescharacteristic
130#89716C2211yescharacteristic
131#89716C2211yescharacteristic
132#89716C2211yescharacteristic
133#89716C2211yescharacteristic
134#89716C2211yescharacteristic, complemented
135#89716C2211yescharacteristic, complemented
136#89716C2211yescharacteristic, complemented
137C22⋊C4×Dic7C2211yescharacteristic
138C22⋊C4×Dic7C2211yescharacteristic
139C22⋊C4×Dic7C2211yescharacteristic
140C22⋊C4×Dic7C2211yescharacteristic
141C22⋊C4×Dic7C2211yescharacteristic
142C22⋊C4×Dic7C2211yescharacteristic
143C22⋊C4×Dic7C2211yescharacteristic
144C22⋊C4×Dic7C2211yescharacteristic
145C22⋊C4×Dic7C2211yescharacteristic
146C22⋊C4×Dic7C2211yescharacteristic
147C22⋊C4×Dic7C2211yescharacteristic
148C22⋊C4×Dic7C2211yescharacteristic
149C22⋊C4×Dic7C2211yescharacteristic, complemented
150C22⋊C4×Dic7C2211yescharacteristic, complemented
151C22⋊C4×Dic7C2211yescharacteristic, complemented
152C22⋊C4×Dic7C2211yescharacteristic, complemented
153#89712C2211yescharacteristic, complemented
154C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic7C2211yescharacteristic, complemented
156C4×C4⋊Dic7C2211yescharacteristic, complemented
157#89705C2211yescharacteristic, complemented
158#89704C2211yescharacteristic, complemented
159C4×Dic7⋊C4C2211yescharacteristic, complemented
160C4×Dic7⋊C4C2211yescharacteristic, complemented
161C4×Dic7⋊C4C2211yescharacteristic, complemented
162C42×Dic7C2211yescharacteristic, complemented
163#89701C2211yescharacteristic, complemented
164#89442C2211yescharacteristic, complemented
165#89442C2211yescharacteristic, complemented
166#89438C2211yescharacteristic, complemented
167#89438C2211yescharacteristic, complemented
168#89438C2211yescharacteristic, complemented
169#89436C2211yescharacteristic, complemented
170#89427C2211yescharacteristic, complemented
171#89427C2211yescharacteristic, complemented
172#89427C2211yescharacteristic, complemented
173#89427C2211yescharacteristic, complemented
174#89426C2211yescharacteristic, complemented
175#89426C2211yescharacteristic, complemented
176#89425C2211yescharacteristic, complemented
177#89425C2211yescharacteristic, complemented
178#89424C2211yescharacteristic, complemented
179#89424C2211yescharacteristic, complemented
180#89423C2211yescharacteristic, complemented
181#89421C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89420C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34283—71nomaximal, Sylow
189C25×C7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
205C23×Dic7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C7×#120C2×C418yescomplemented
215C4×C7×D4—24no—
216C4×C7×D4—42no—
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C22⋊C4—24no—
221C2×C7×C22⋊C4—42no—
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239#6516C2×C418yescomplemented
240C2×C22⋊Dic7—24no—
241C2×C22⋊Dic7—42no—
242C2×C22⋊Dic7C2×C418yescomplemented
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263#6502C2×C418yescomplemented
264#6502C2×C418yescomplemented
265#6501C2×C418yescomplemented
266#6499C2×C418yescomplemented
267#6498C2×C418yescomplemented
268D4×Dic7—24no—
269D4×Dic7—42no—
270D4×Dic7C2×C418yescomplemented
271C4×C22⋊D7—24no—
272C4×C22⋊D7—42no—
273C4×C22⋊D7—42no—
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×Dic7⋊C4—42no—
288C2×Dic7⋊C4C2311yescharacteristic
289C2×Dic7⋊C4C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×C4×Dic7—42no—
303C2×C4×Dic7C2311yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326#6450—42no—
327#6448C2×C418yescomplemented
328#6446C2×C418yescomplemented
329(C22⋊D7)⋊C4—24no—
330(C22⋊D7)⋊C4—42no—
331(C22⋊D7)⋊C4C2×C418yescomplemented
332#6442C2×C418yescomplemented
333#6442C2×C418yescomplemented
334#6441C2×C418yescomplemented
335#6440—42no—
336C42×D7—42no—
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7×#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C2×#538—71no—
378#2374—71no—
379#2373—71no—
380#2373—71no—
381#2372—71no—
382#2368—71no—
383#2367—71no—
384#2364—71no—
385#2364—71no—
386#2363—71no—
387#2361—71no—
388#2360—71no—
389#2359—71no—
390#2358—71no—
391#2358—71no—
392#2358—71no—
393#2358D711yescharacteristic, complemented
394#2337—71no—
395#2335—71no—
396#2334—71no—
397#2333—71no—
398#2318—71no—
399C4×#126—71no—
400C4×#124—71no—
401C4×#123—71no—
402C4×#121—71no—
403#2290—71no—
404C2×#388—71no—
405#2275—71no—
406#2273—71no—
407C42×D4—71no—
408C24×C7—22no—
409C24×C7—22no—
410C24×C7—41no—
411C24×C7—41no—
412C24×C7—41no—
413C24×C7—41no—
414C24×C7C22×C414yes—
415C24×C7C2411yescharacteristic
416C24×C7C2411yescharacteristic
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C2×C7×D4—22no—
421C2×C7×D4—22no—
422C2×C7×D4—41no—
423C2×C7×D4—41no—
424C2×C7×D4—41no—
425C2×C7×D4—41no—
426C2×C7×D4C22×C414yes—
427C2×C7×D4C22×C414yes—
428C2×C7×D4C22×C414yes—
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7—22no—
432C22×C4×C7—22no—
433C22×C4×C7—22no—
434C22×C4×C7—22no—
435C22×C4×C7—41no—
436C22×C4×C7—41no—
437C22×C4×C7—41no—
438C22×C4×C7—41no—
439C22×C4×C7—41no—
440C22×C4×C7—41no—
441C22×C4×C7—41no—
442C22×C4×C7—41no—
443C22×C4×C7—41no—
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C2×C22⋊D7—22no—
456C2×C22⋊D7—22no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7C22×C414yes—
464C2×C22⋊D7C22×C414yes—
465C2×C22⋊D7C22×C414yes—
466C2×C22⋊D7C22×C414yes—
467C22×Dic7—22no—
468C22×Dic7—22no—
469C22×Dic7—22no—
470C22×Dic7—22no—
471C22×Dic7—22no—
472C22×Dic7—22no—
473C22×Dic7—41no—
474C22×Dic7—41no—
475C22×Dic7—41no—
476C22×Dic7—41no—
477C22×Dic7—41no—
478C22×Dic7—41no—
479C22×Dic7—41no—
480C22×Dic7—41no—
481C22×Dic7—41no—
482C22×Dic7—41no—
483C22×Dic7—41no—
484C22×Dic7—41no—
485C22×Dic7—41no—
486C22×Dic7—41no—
487C22×Dic7—41no—
488C22×Dic7C22×C414yes—
489C22×Dic7C22×C414yes—
490C22×Dic7C22×C414yes—
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C2×C4×D7—22no—
507C2×C4×D7—22no—
508C2×C4×D7—22no—
509C2×C4×D7—22no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7C22×C414yes—
515C2×Dic14—41no—
516C2×Dic14—41no—
517C2×Dic14C22×C414yes—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—41no—
520C7×C4⋊C4—41no—
521C7×C22⋊C4—22no—
522C7×C22⋊C4—22no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4C22×C414yes—
532C7×C22⋊C4C22×C414yes—
533C7×C22⋊C4C22×C414yes—
534C7×C22⋊C4#4114yes—
535C42×C7—22no—
536C42×C7—22no—
537C42×C7—41no—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—22no—
544C22⋊Dic7—22no—
545C22⋊Dic7—41no—
546C22⋊Dic7—41no—
547C22⋊Dic7—41no—
548C22⋊Dic7C22×C414yes—
549C22⋊Dic7C22×C414yes—
550C22⋊Dic7C22×C414yes—
551C22⋊Dic7C22×C414yes—
552C22⋊Dic7C22×C414yes—
553C22⋊Dic7C22×C414yes—
554C22⋊Dic7C22×C414yes—
555C22⋊Dic7C22×C414yes—
556C22⋊Dic7C22×C414yes—
557C22⋊Dic7#4114yes—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4C22×C414yes—
565(C2×D7)⋊C4C22×C414yes—
566C4⋊Dic7—22no—
567C4⋊Dic7—41no—
568C4⋊Dic7—41no—
569C4⋊Dic7C22×C414yes—
570C4⋊Dic7C22×C414yes—
571Dic7⋊C4—22no—
572Dic7⋊C4—22no—
573Dic7⋊C4—22no—
574Dic7⋊C4—22no—
575Dic7⋊C4—22no—
576Dic7⋊C4—22no—
577Dic7⋊C4—41no—
578Dic7⋊C4—41no—
579Dic7⋊C4—41no—
580Dic7⋊C4—41no—
581Dic7⋊C4C22×C414yes—
582Dic7⋊C4C22×C414yes—
583Dic7⋊C4C22×C414yes—
584Dic7⋊C4C22×C414yes—
585C4×Dic7—22no—
586C4×Dic7—22no—
587C4×Dic7—22no—
588C4×Dic7—22no—
589C4×Dic7—22no—
590C4×Dic7—22no—
591C4×Dic7—41no—
592C4×Dic7—41no—
593C4×Dic7—41no—
594C4×Dic7—41no—
595C4×Dic7—41no—
596C4×Dic7—41no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C4×Dic7—41no—
606C4×Dic7C22×C414yes—
607C4×Dic7C22×C414yes—
608#538—716no—
609C2×#126—71no—
610C2×#126—71no—
611C2×#124—71no—
612C2×#124—71no—
613C2×#123—71no—
614C2×#123—71no—
615C2×C22⋊Q8—71no—
616C2×#121—71no—
617C2×#121—71no—
618C2×#121—71no—
619C2×#120—71no—
620C2×#120C2×D711yescharacteristic
621C2×C4×Q8—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×C4×D4—71no—
628C2×C4×D4—71no—
629C2×C4×D4—71no—
630C2×C4×D4—71no—
631C2×C4×D4C2×D711yescharacteristic
632C2×C4×D4C2×D711yescharacteristic
633C2×#117—71no—
634C22×C4⋊C4—71no—
635C22×C22⋊C4—71no—
636C22×C22⋊C4—71no—
637C22×C22⋊C4—71no—
638C22×C22⋊C4C2×D711yescharacteristic
639C22×C22⋊C4C2×D711yescharacteristic
640C22×C42—71no—
641C22×C42—71no—
642#391—71no—
643#391—71no—
644#391—71no—
645#390—71no—
646#390—71no—
647#390—71no—
648#390—71no—
649#390C2×D711yescharacteristic
650#389—71no—
651#389—71no—
652#389—71no—
653#389—71no—
654#388—71no—
655#388—71no—
656#388—71no—
657#388—71no—
658#388—71no—
659#388—71no—
660#388—71no—
661#388—71no—
662#388—71no—
663#388—71no—
664#388—71no—
665#388—71no—
666#388—71no—
667#388—71no—
668#388—71no—
669#388—71no—
670#388—71no—
671#388—71no—
672#388—71no—
673#388—71no—
674#388—71no—
675#388—71no—
676#388C2×D711yescharacteristic
677#388C2×D711yescharacteristic
678#387—71no—
679#387—71no—
680#387—71no—
681#387—71no—
682#387—71no—
683#387—71no—
684#387—71no—
685#387—71no—
686#387—71no—
687#387—71no—
688#387—71no—
689#387—71no—
690#386—71no—
691#386—71no—
692#386—71no—
693#386—71no—
694#386—71no—
695#386—71no—
696#386—71no—
697#386—71no—
698#386—71no—
699#386—71no—
700#386—71no—
701#386C2×D711yescharacteristic
702#386C2×D711yescharacteristic
703#386C2×D711yescharacteristic
704#385—71no—
705#385—71no—
706#385—71no—
707#385—71no—
708#385—71no—
709#385—71no—
710#385—71no—
711#385—71no—
712#385C2×D711yescharacteristic
713#385C2×D711yescharacteristic
714#383—71no—
715#382—71no—
716#381—71no—
717#380—71no—
718C4×C4⋊C4—71no—
719C4×C4⋊C4—71no—
720C4×C4⋊C4—71no—
721C4×C4⋊C4—71no—
722C4×C4⋊C4—71no—
723C4×C4⋊C4—71no—
724C4×C4⋊C4—71no—
725C4×C4⋊C4—71no—
726C4×C4⋊C4—71no—
727C4×C4⋊C4—71no—
728C4×C4⋊C4—71no—
729C4×C22⋊C4—71no—
730C4×C22⋊C4—71no—
731C4×C22⋊C4—71no—
732C4×C22⋊C4—71no—
733C4×C22⋊C4—71no—
734C4×C22⋊C4—71no—
735C4×C22⋊C4—71no—
736C4×C22⋊C4—71no—
737C4×C22⋊C4—71no—
738C4×C22⋊C4—71no—
739C4×C22⋊C4—71no—
740C4×C22⋊C4—71no—
741C4×C22⋊C4—71no—
742C4×C22⋊C4—71no—
743C4×C22⋊C4—71no—
744C4×C22⋊C4—71no—
745C4×C22⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4C2×D711yescharacteristic
757C4×C22⋊C4C2×D711yescharacteristic
758#376—71no—
759#376—71no—
760C2×#95—71no—
761C2×#95—71no—
762C2×#95—71no—
763C43—71no—
764C23×C7—21no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—28no—
787C23×C7—44no—
788C23×C7—44no—
789C23×C7—82no—
790C23×C7—82no—
791C23×C7—82no—
792C23×C7—82no—
793C23×C7C23×C412yes—
794C23×C7C23×C412yes—
795C23×C7C23×C412yes—
796C23×C7C23×C412yes—
797C23×C7C2×#4112yes—
798C23×C7C2×#4112yes—
799C23×C7C2511yescharacteristic
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7C23×C412yes—
807C7×D4—28no—
808C7×D4—44no—
809C7×D4—44no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—44no—
838C2×C4×C7—82no—
839C2×C4×C7—82no—
840C2×C4×C7—82no—
841C2×C4×C7—82no—
842C2×C4×C7C23×C412yes—
843C2×C4×C7C23×C412yes—
844C2×C4×C7C23×C412yes—
845C2×C4×C7C2×#4112yes—
846C2×C4×C7C2×#4112yes—
847C2×C4×C7H(5,𝔽2)12yes—
848C22⋊D7—28no—
849C22⋊D7—44no—
850C22⋊D7—44no—
851C22⋊D7—44no—
852C2×Dic7—21no—
853C2×Dic7—21no—
854C2×Dic7—21no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—44no—
888C2×Dic7—44no—
889C2×Dic7—44no—
890C2×Dic7—44no—
891C2×Dic7—82no—
892C2×Dic7—82no—
893C2×Dic7—82no—
894C2×Dic7—82no—
895C2×Dic7C23×C412yes—
896C2×Dic7C23×C412yes—
897C2×Dic7C23×C412yes—
898C2×Dic7C23×C412yes—
899C2×Dic7C23×C412yes—
900C2×Dic7C23×C412yes—
901C2×Dic7C23×C412yes—
902C2×Dic7C2×#4112yes—
903C2×Dic7C2×#4112yes—
904C2×Dic7H(5,𝔽2)12yes—
905C4×D7—44no—
906C4×D7—44no—
907C4×D7—44no—
908Dic14—44no—
909C25C22×D711yescharacteristic
910C22×Q8—71no—
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4C22×D711yescharacteristic
916C22×D4C22×D711yescharacteristic
917C22×D4C22×D711yescharacteristic
918C23×C4—71no—
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4C22×D711yescharacteristic
930C23×C4C22×D711yescharacteristic
931C23×C4C22×D711yescharacteristic
932C23×C4C22×D711yescharacteristic
933C23×C4C22×D711yescharacteristic
934#126—78no—
935#126—78no—
936#124—78no—
937#124—78no—
938#123—78no—
939#123—78no—
940C22⋊Q8—78no—
941#121—78no—
942#121—78no—
943#121—78no—
944#120—78no—
945#120C4×D718yescomplemented
946C4×Q8—282no—
947C4×D4—24no—
948C4×D4—42no—
949C4×D4—78no—
950C4×D4—78no—
951C4×D4—144no—
952C4×D4—144no—
953C4×D4—144no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958#117—282no—
959C2×C4⋊C4—71no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—282no—
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C22⋊C4—24no—
983C2×C22⋊C4—42no—
984C2×C22⋊C4—78no—
985C2×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—144no—
1014C2×C22⋊C4—282no—
1015C2×C22⋊C4C22×D711yescharacteristic
1016C2×C22⋊C4C22×D711yescharacteristic
1017C2×C22⋊C4C22×D711yescharacteristic
1018C2×C22⋊C4C22×D711yescharacteristic
1019C2×C22⋊C4C22×D711yescharacteristic
1020C2×C22⋊C4C22×D711yescharacteristic
1021C2×C22⋊C4C22×D711yescharacteristic
1022C2×C22⋊C4C22×D711yescharacteristic
1023C2×C22⋊C4C22×D711yescharacteristic
1024C2×C22⋊C4C22×D711yescharacteristic
1025C2×C22⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4C22×D711yescharacteristic
1027C2×C22⋊C4C22×D711yescharacteristic
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C42—71no—
1030C2×C42—71no—
1031C2×C42—71no—
1032C2×C42—71no—
1033C2×C42—71no—
1034C2×C42—71no—
1035C2×C42—71no—
1036C2×C42—71no—
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—71no—
1048C2×C42—71no—
1049C2×C42—71no—
1050C2×C42—71no—
1051C2×C42—71no—
1052C2×C42—282no—
1053C2×C42—282no—
1054C2×C42C22×D711yescharacteristic
1055C2×C42C22×D711yescharacteristic
1056C2×C42C22×D711yescharacteristic
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95—71no—
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097C22×C7—22no—
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—22no—
1105C22×C7—22no—
1106C22×C7—22no—
1107C22×C7—22no—
1108C22×C7—22no—
1109C22×C7—22no—
1110C22×C7—22no—
1111C22×C7—22no—
1112C22×C7—41no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7—41no—
1123C22×C7—41no—
1124C22×C7—88no—
1125C22×C7C4×#4114yes—
1126C22×C7C24×C411yescharacteristic
1127C22×C7C22×#4111yescharacteristic
1128C22×C7C22×#4111yescharacteristic
1129C22×C7C2×H(5,𝔽2)11yescharacteristic
1130C22×C7C2×H(5,𝔽2)11yescharacteristic
1131C22×C7#58511yescharacteristic
1132C22×C7#58511yescharacteristic
1133C2×D7—22no—
1134C2×D7—22no—
1135C2×D7—22no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151Dic7—22no—
1152Dic7—22no—
1153Dic7—22no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—22no—
1159Dic7—22no—
1160Dic7—22no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166C24—22no—
1167C24—22no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—71no—
1173C24C2×C4×D714yes—
1174C24C23×D711yescharacteristic
1175C24C23×D711yescharacteristic
1176C24C23×D711yescharacteristic
1177C24C23×D711yescharacteristic
1178C2×Q8—74no—
1179C2×Q8—281no—
1180C2×Q8—281no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—74no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—74no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—281no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4C2×C4×D714yes—
1200C2×D4C2×C4×D714yes—
1201C2×D4C2×C4×D714yes—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—71no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—74no—
1228C22×C4—74no—
1229C22×C4—74no—
1230C22×C4—74no—
1231C22×C4—71no—
1232C22×C4—71no—
1233C22×C4—71no—
1234C22×C4—71no—
1235C22×C4—71no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—142no—
1242C22×C4—142no—
1243C22×C4—142no—
1244C22×C4—142no—
1245C22×C4—142no—
1246C22×C4—281no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
1264C22×C4—281no—
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—74no—
1280C4⋊C4—74no—
1281C4⋊C4—74no—
1282C4⋊C4—74no—
1283C4⋊C4—74no—
1284C4⋊C4—74no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—142no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—74no—
1309C22⋊C4—74no—
1310C22⋊C4—74no—
1311C22⋊C4—74no—
1312C22⋊C4—74no—
1313C22⋊C4—74no—
1314C22⋊C4—74no—
1315C22⋊C4—74no—
1316C22⋊C4—74no—
1317C22⋊C4—74no—
1318C22⋊C4—74no—
1319C22⋊C4—74no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—281no—
1330C22⋊C4—281no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4C2×C4×D714yes—
1337C22⋊C4C2×C4×D714yes—
1338C22⋊C4C2×C4×D714yes—
1339C22⋊C4#115914yes—
1340C42—22no—
1341C42—22no—
1342C42—41no—
1343C42—74no—
1344C42—74no—
1345C42—142no—
1346C42—142no—
1347C42—142no—
1348C42—142no—
1349C42—142no—
1350C42—142no—
1351C42—281no—
1352C42—281no—
1353C42—281no—
1354C42—281no—
1355C42—281no—
1356C42—281no—
1357C42—281no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C2×C7—24no—
1367C2×C7—42no—
1368C2×C7—42no—
1369C2×C7—42no—
1370C2×C7C2×C4×#4111yescharacteristic
1371C2×C7C4×H(5,𝔽2)11yescharacteristic
1372C2×C7C4×H(5,𝔽2)11yescharacteristic
1373C2×C7#351311yescharacteristic
1374C2×C7#351411yescharacteristic
1375C2×C7#351911yescharacteristic
1376C2×C7#352111yescharacteristic
1377D7—42no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—28no—
1401C23—44no—
1402C23—44no—
1403C23—72no—
1404C23—82no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23C22×C4×D712yes—
1415C23C22×C4×D712yes—
1416C23C22×C4×D712yes—
1417C23C22×C4×D712yes—
1418C23C2×#115912yes—
1419C23D7×#4112yes—
1420C23C24×D711yescharacteristic
1421Q8—284no—
1422D4—28no—
1423D4—44no—
1424D4—44no—
1425D4—148no—
1426D4—284no—
1427D4—284no—
1428D4—284no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—44no—
1457C2×C4—72no—
1458C2×C4—72no—
1459C2×C4—72no—
1460C2×C4—72no—
1461C2×C4—72no—
1462C2×C4—72no—
1463C2×C4—72no—
1464C2×C4—72no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4—141no—
1472C2×C4—141no—
1473C2×C4—141no—
1474C2×C4—141no—
1475C2×C4—141no—
1476C2×C4—141no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—284no—
1507C2×C4—284no—
1508C2×C4—284no—
1509C2×C4—284no—
1510C2×C4—284no—
1511C2×C4—284no—
1512C2×C4—284no—
1513C2×C4—562no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4—562no—
1517C2×C4C22×C4×D712yes—
1518C2×C4C22×C4×D712yes—
1519C2×C4C22×C4×D712yes—
1520C2×C4C2×#115912yes—
1521C2×C4C2×#115912yes—
1522C2×C4#654812yes—
1523C7#3428311yescharacteristic, complemented, Sylow
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—88no—
1552C22—142no—
1553C22—142no—
1554C22—142no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22C4×#115914yes—
1560C22C23×C4×D711yescharacteristic
1561C22C22×#115911yescharacteristic
1562C22C2×#654811yescharacteristic
1563C22C2×D7×#4111yescharacteristic
1564C22#9061611yescharacteristic
1565C22D7×H(5,𝔽2)11yescharacteristic
1566C22#9061811yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—142no—
1579C4—142no—
1580C4—142no—
1581C4—142no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—142no—
1588C4—281no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C2—24no—
1594C2—42no—
1595C2—42no—
1596C2—42no—
1597C2—282no—
1598C2C2×C4×#115911yescharacteristic
1599C2C4×#654811yescharacteristic
1600C2#1174292511yescharacteristic
1601C2#1174368011yescharacteristic
1602C2#1174370311yescharacteristic
1603C2#1174371111yescharacteristic
1604C2#1174386511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2358C2
socle, cosocleC23×C7C25
prime radicalC2×#90284C2
hypercenter#2358D7
hypocenterC7#34283
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. C7×#2358C2semidirect
3. #11740024C2semidirect
4. C4×#6501C2semidirect
5. #11739785C2semidirect
6. #11739784C2semidirect
7. #11739762C2semidirect
8. #11739544C2semidirect
9. #11739544C2semidirect
10. C2×#89716C2semidirect
11. #11739528C2semidirect
12. #11733750C2semidirect
13. #11733737C2semidirect
14. #11732931C2semidirect
15. #11732930C2semidirect
16. #11732915C2semidirect
17. #11732898C2semidirect
18. #11732126C2semidirect
19. #11732123C2semidirect
20. #11732123C2semidirect
21. #11732116C2semidirect
22. #11732114C2semidirect
23. #11732102C2semidirect
24. #11731843C2semidirect
25. #11731841C2semidirect
26. #11731834C2semidirect
27. #11731828C2semidirect
28. #11730920C2semidirect
29. #11730919C2semidirect
30. C4×#6442C2semidirect
31. C4×(C22⋊D7)⋊C4C2semidirect
51. C2×C4×C22⋊D7C22semidirect
54. #90284C4semidirect
55. C2×#6450C22semidirect
64. C2×#6440C22semidirect
65. C2×C42×D7C22semidirect
84. #89982C22semidirect
91. C4×C22⋊Dic7C22semidirect
94. C2×C7⋊#95C22semidirect
95. #89762C22semidirect
96. #89761C22semidirect
97. #89759C22semidirect
98. #89750C22semidirect
99. #89749C22semidirect
100. C4⋊C4×Dic7C22semidirect
101. C4⋊C4×Dic7C22semidirect
102. #89745C22semidirect
103. #89744C22semidirect
104. #89744C22semidirect
105. #89744C22semidirect
108. #89730C22semidirect
111. #89729C22semidirect
114. #89728C22semidirect
123. #89717C22semidirect
134. #89716C22semidirect
135. #89716C22semidirect
136. #89716C22semidirect
149. C22⋊C4×Dic7C22semidirect
150. C22⋊C4×Dic7C22semidirect
151. C22⋊C4×Dic7C22semidirect
152. C22⋊C4×Dic7C22semidirect
153. #89712C22semidirect
154. C4×(C2×D7)⋊C4C22semidirect
155. C4×C4⋊Dic7C22semidirect
156. C4×C4⋊Dic7C22semidirect
157. #89705C22semidirect
158. #89704C22semidirect
159. C4×Dic7⋊C4C22semidirect
160. C4×Dic7⋊C4C22semidirect
161. C4×Dic7⋊C4C22semidirect
162. C42×Dic7C22semidirect
163. #89701C22semidirect
164. #89442C22semidirect
165. #89442C22semidirect
166. #89438C22semidirect
167. #89438C22semidirect
168. #89438C22semidirect
169. #89436C22semidirect
170. #89427C22semidirect
171. #89427C22semidirect
172. #89427C22semidirect
173. #89427C22semidirect
174. #89426C22semidirect
175. #89426C22semidirect
176. #89425C22semidirect
177. #89425C22semidirect
178. #89424C22semidirect
179. #89424C22semidirect
180. #89423C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89421C22semidirect
184. #89421C22semidirect
185. #89420C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
214. C7×#120C2×C4semidirect
239. #6516C2×C4semidirect
242. C2×C22⋊Dic7C2×C4semidirect
263. #6502C2×C4semidirect
264. #6502C2×C4semidirect
265. #6501C2×C4semidirect
266. #6499C2×C4semidirect
267. #6498C2×C4semidirect
270. D4×Dic7C2×C4semidirect
327. #6448C2×C4semidirect
328. #6446C2×C4semidirect
331. (C22⋊D7)⋊C4C2×C4semidirect
332. #6442C2×C4semidirect
333. #6442C2×C4semidirect
334. #6441C2×C4semidirect
393. #2358D7semidirect
945. #120C4×D7semidirect
1523. C7#34283semidirect

Maximal subgroups

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

subgroupindex
C2×#902842
C7×#23582
#117400242
C4×#65012
#117397852
#117397842
#117397622
#117395442
C2×#897162
#117395282
#117337502
#117337372
#117329312
#117329302
#117329152
#117328982
#117321262
#117321232
#117321162
#117321142
#117321022
#117318432
#117318412
#117318342
#117318282
#117309202
#117309192
C4×#64422
C4×(C22⋊D7)⋊C42
#342837