Finite Group Databasebeta

← #13514935

Subgroups — #13514935

Order 1792.

3658 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90280C211yesmaximal, characteristic
2C2×C4×D4×D7C211yesmaximal, characteristic, complemented
3C2×#90177C211yesmaximal, characteristic, complemented
4C7×#2358C211yesmaximal, characteristic, complemented
5#11740024C211yesmaximal, characteristic, complemented
6#11739844C211yesmaximal, characteristic, complemented
7C4×#6500C211yesmaximal, characteristic, complemented
8#11739784C211yesmaximal, characteristic, complemented
9C2×#89728C211yesmaximal, characteristic, complemented
10#11739544C211yesmaximal, characteristic, complemented
11#11739544C211yesmaximal, characteristic, complemented
12#11733878C211yesmaximal, characteristic, complemented
13#11733874C211yesmaximal, characteristic, complemented
14#11733284C211yesmaximal, characteristic, complemented
15#11733273C211yesmaximal, characteristic, complemented
16#11732922C211yesmaximal, characteristic, complemented
17#11732898C211yesmaximal, characteristic, complemented
18#11732326C211yesmaximal, characteristic, complemented
19#11732326C211yesmaximal, characteristic, complemented
20#11732321C211yesmaximal, characteristic, complemented
21#11732319C211yesmaximal, characteristic, complemented
22#11732120C211yesmaximal, characteristic, complemented
23#11732104C211yesmaximal, characteristic, complemented
24#11732038C211yesmaximal, characteristic, complemented
25D7×#385C211yesmaximal, characteristic, complemented
26#11731842C211yesmaximal, characteristic, complemented
27#11731840C211yesmaximal, characteristic, complemented
28#11731024C211yesmaximal, characteristic, complemented
29C4×#6446C211yesmaximal, characteristic, complemented
30#11731005C211yesmaximal, characteristic, complemented
31#11730909C211yesmaximal, characteristic, complemented
32C23×C22⋊D7C2211yescharacteristic
33C22×D4×D7C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic
35C23×C4×D7C2211yescharacteristic, complemented
36C2×C7×#120C2211yescharacteristic
37C2×C4×C7×D4C2211yescharacteristic
38C2×C4×C7×D4C2211yescharacteristic, complemented
39C22×C7×C22⋊C4C2211yescharacteristic, complemented
40C22×C7×C22⋊C4C2211yescharacteristic, complemented
41C2×#6516C2211yescharacteristic
42C22×C22⋊Dic7C2211yescharacteristic, complemented
43C22×C22⋊Dic7C2211yescharacteristic, complemented
44C2×#6501C2211yescharacteristic
45C2×#6501C2211yescharacteristic
46C2×#6500C2211yescharacteristic
47C2×#6500C2211yescharacteristic
48C2×#6498C2211yescharacteristic
49C2×D4×Dic7C2211yescharacteristic
50C2×D4×Dic7C2211yescharacteristic, complemented
51C2×C4×C22⋊D7C2211yescharacteristic
52C2×C4×C22⋊D7C2211yescharacteristic
53C2×C4×C22⋊D7C2211yescharacteristic
54C2×C4×C22⋊D7C2211yescharacteristic, complemented
55C2×C4×C22⋊D7C2211yescharacteristic, complemented
56C2×C4×C22⋊D7C2211yescharacteristic, complemented
57C2×C4×C22⋊D7C2211yescharacteristic, complemented
58C22×(C2×D7)⋊C4C2211yescharacteristic
59#90280C4116yescomplemented
60C4×D4×D7—28no—
61C2×#6456C2211yescharacteristic, complemented
62C2×D7×C4⋊C4C2211yescharacteristic, complemented
63C2×D7×C4⋊C4C2211yescharacteristic, complemented
64C2×D7×C4⋊C4C2211yescharacteristic, complemented
65C2×#6449C2211yescharacteristic
66C2×#6447C2211yescharacteristic
67C2×#6447C2211yescharacteristic
68C2×#6446C2211yescharacteristic
69C2×#6446C2211yescharacteristic
70#90177—28no—
71C2×(C22⋊D7)⋊C4C2211yescharacteristic
72C2×(C22⋊D7)⋊C4C2211yescharacteristic
73C2×(C22⋊D7)⋊C4C2211yescharacteristic
74C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
75C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
76C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
77C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
78C2×D7×C22⋊C4C2211yescharacteristic
79C2×D7×C22⋊C4C2211yescharacteristic
80C2×D7×C22⋊C4C2211yescharacteristic
81C2×D7×C22⋊C4C2211yescharacteristic, complemented
82C2×#6440C2211yescharacteristic, complemented
83C2×#6440C2211yescharacteristic, complemented
84C2×C4×D28C2211yescharacteristic, complemented
85C2×C42×D7C2211yescharacteristic, complemented
86C7×#390C2211yescharacteristic, complemented
87C7×#388C2211yescharacteristic, complemented
88C7×#388C2211yescharacteristic, complemented
89C7×#386C2211yescharacteristic
90C7×#386C2211yescharacteristic, complemented
91C7×#386C2211yescharacteristic, complemented
92C7×#385C2211yescharacteristic, complemented
93C7×#385C2211yescharacteristic, complemented
94C4×C7×C22⋊C4C2211yescharacteristic, complemented
95C4×C7×C22⋊C4C2211yescharacteristic, complemented
96#89993C2211yescharacteristic, complemented
97#89992C2211yescharacteristic
98#89992C2211yescharacteristic, complemented
99#89992C2211yescharacteristic, complemented
100#89985C2211yescharacteristic
101#89985C2211yescharacteristic, complemented
102#89982C2211yescharacteristic, complemented
103#89982C2211yescharacteristic, complemented
104#89982C2211yescharacteristic, complemented
105C4×C22⋊Dic7C2211yescharacteristic, complemented
106C4×C22⋊Dic7C2211yescharacteristic, complemented
107C4×C22⋊Dic7C2211yescharacteristic, complemented
108C2×C7⋊#95C2211yescharacteristic, complemented
109C2×C7⋊#95C2211yescharacteristic, complemented
110#89762C2211yescharacteristic, complemented
111#89761C2211yescharacteristic, complemented
112#89761C2211yescharacteristic, complemented
113#89761C2211yescharacteristic, complemented
114#89750C2211yescharacteristic, complemented
115C4⋊C4×Dic7C2211yescharacteristic, complemented
116#89745C2211yescharacteristic, complemented
117#89744C2211yescharacteristic, complemented
118#89730C2211yescharacteristic
119#89730C2211yescharacteristic, complemented
120#89729C2211yescharacteristic, complemented
121#89729C2211yescharacteristic, complemented
122#89728C2211yescharacteristic
123#89728C2211yescharacteristic
124#89728C2211yescharacteristic
125#89728C2211yescharacteristic
126#89728C2211yescharacteristic, complemented
127#89728C2211yescharacteristic, complemented
128#89728C2211yescharacteristic, complemented
129#89728C2211yescharacteristic, complemented
130#89728C2211yescharacteristic, complemented
131#89728C2211yescharacteristic, complemented
132#89728C2211yescharacteristic, complemented
133#89728C2211yescharacteristic, complemented
134#89727C2211yescharacteristic, complemented
135#89727C2211yescharacteristic, complemented
136#89723C2211yescharacteristic, complemented
137#89723C2211yescharacteristic, complemented
138#89722C2211yescharacteristic, complemented
139#89722C2211yescharacteristic, complemented
140#89718C2211yescharacteristic, complemented
141#89718C2211yescharacteristic, complemented
142#89718C2211yescharacteristic, complemented
143#89717C2211yescharacteristic, complemented
144#89717C2211yescharacteristic, complemented
145#89717C2211yescharacteristic, complemented
146#89717C2211yescharacteristic, complemented
147#89716C2211yescharacteristic, complemented
148#89716C2211yescharacteristic, complemented
149#89716C2211yescharacteristic, complemented
150#89716C2211yescharacteristic, complemented
151C22⋊C4×Dic7C2211yescharacteristic, complemented
152C22⋊C4×Dic7C2211yescharacteristic, complemented
153C22⋊C4×Dic7C2211yescharacteristic, complemented
154C22⋊C4×Dic7C2211yescharacteristic, complemented
155C22⋊C4×Dic7C2211yescharacteristic, complemented
156#89712C2211yescharacteristic, complemented
157C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
162C4×C4⋊Dic7C2211yescharacteristic, complemented
163#89705C2211yescharacteristic, complemented
164C4×Dic7⋊C4C2211yescharacteristic, complemented
165#89700C2211yescharacteristic, complemented
166#89442C2211yescharacteristic, complemented
167#89441C2211yescharacteristic, complemented
168#89440C2211yescharacteristic, complemented
169#89440C2211yescharacteristic, complemented
170#89440C2211yescharacteristic, complemented
171#89438C2211yescharacteristic, complemented
172#89438C2211yescharacteristic, complemented
173#89438C2211yescharacteristic, complemented
174#89438C2211yescharacteristic, complemented
175#89438C2211yescharacteristic, complemented
176#89437C2211yescharacteristic, complemented
177#89437C2211yescharacteristic, complemented
178#89436C2211yescharacteristic, complemented
179#89436C2211yescharacteristic, complemented
180D7×#95C2211yescharacteristic, complemented
181D7×#95C2211yescharacteristic, complemented
182#89427C2211yescharacteristic, complemented
183#89426C2211yescharacteristic, complemented
184#89426C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89425C2211yescharacteristic, complemented
187#89424C2211yescharacteristic, complemented
188#89421C2211yescharacteristic, complemented
189#89419C2211yescharacteristic, complemented
190#34264—71nomaximal, Sylow
191C25×C7C2311yescharacteristic
192C24×D7C2311yescharacteristic
193C24×D7C2311yescharacteristic
194C22×C7×D4C2311yescharacteristic
195C22×C7×D4C2311yescharacteristic
196C22×C7×D4C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C23×C4×C7C2311yescharacteristic
201C23×C4×C7C2311yescharacteristic
202C22×C22⋊D7—24no—
203C22×C22⋊D7—24no—
204C22×C22⋊D7C2×C418yescomplemented
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C22×C22⋊D7C2311yescharacteristic
209C22×C22⋊D7C2311yescharacteristic
210C22×C22⋊D7C2311yescharacteristic
211C22×C22⋊D7C2311yescharacteristic
212C22×C22⋊D7C2311yescharacteristic
213C23×Dic7C2311yescharacteristic
214C23×Dic7C2311yescharacteristic
215C23×Dic7C2311yescharacteristic
216C23×Dic7C2311yescharacteristic
217C23×Dic7C2311yescharacteristic
218C23×Dic7C2311yescharacteristic
219C2×D4×D7—24no—
220C2×D4×D7—24no—
221C2×D4×D7C2×C418yescomplemented
222C22×D28C2311yescharacteristic
223C22×C4×D7—24no—
224C22×C4×D7—24no—
225C22×C4×D7—42no—
226C22×C4×D7—42no—
227C22×C4×D7—42no—
228C22×C4×D7—42no—
229C22×C4×D7C2311yescharacteristic
230C22×C4×D7C2311yescharacteristic
231C22×C4×D7C2311yescharacteristic
232C22×C4×D7C2311yescharacteristic
233C22×C4×D7C2311yescharacteristic
234C22×C4×D7C2311yescharacteristic
235C22×C4×D7C2311yescharacteristic
236C22×C4×D7C2311yescharacteristic
237C22×C4×D7C2311yescharacteristic
238C22×C4×D7C2311yescharacteristic
239C22×C4×D7C2311yescharacteristic
240C22×C4×D7C2311yescharacteristic
241C22×C4×D7C2311yescharacteristic
242C7×#120C2×C418yescomplemented
243C4×C7×D4—24no—
244C4×C7×D4—42no—
245C2×C7×C4⋊C4C2311yescharacteristic
246C2×C7×C4⋊C4C2311yescharacteristic
247C2×C7×C4⋊C4C2311yescharacteristic
248C2×C7×C22⋊C4—24no—
249C2×C7×C22⋊C4—42no—
250C2×C7×C22⋊C4C2311yescharacteristic
251C2×C7×C22⋊C4C2311yescharacteristic
252C2×C7×C22⋊C4C2311yescharacteristic
253C2×C7×C22⋊C4C2311yescharacteristic
254C2×C7×C22⋊C4C2311yescharacteristic
255C2×C7×C22⋊C4C2311yescharacteristic
256C2×C7×C22⋊C4C2311yescharacteristic
257C2×C7×C22⋊C4C2311yescharacteristic
258C2×C7×C22⋊C4C2311yescharacteristic
259C2×C7×C22⋊C4C2311yescharacteristic
260C2×C7×C22⋊C4C2311yescharacteristic
261C2×C7×C22⋊C4C2311yescharacteristic
262C2×C7×C22⋊C4C2311yescharacteristic
263C2×C7×C22⋊C4C2311yescharacteristic
264C2×C42×C7C2311yescharacteristic
265C2×C42×C7C2311yescharacteristic
266C2×C42×C7C2311yescharacteristic
267#6516C2×C418yescomplemented
268C2×C22⋊Dic7—24no—
269C2×C22⋊Dic7—42no—
270C2×C22⋊Dic7C2311yescharacteristic
271C2×C22⋊Dic7C2311yescharacteristic
272C2×C22⋊Dic7C2311yescharacteristic
273C2×C22⋊Dic7C2311yescharacteristic
274C2×C22⋊Dic7C2311yescharacteristic
275C2×C22⋊Dic7C2311yescharacteristic
276C2×C22⋊Dic7C2311yescharacteristic
277C2×C22⋊Dic7C2311yescharacteristic
278C2×C22⋊Dic7C2311yescharacteristic
279C2×C22⋊Dic7C2311yescharacteristic
280C2×C22⋊Dic7C2311yescharacteristic
281C2×C22⋊Dic7C2311yescharacteristic
282C2×C22⋊Dic7C2311yescharacteristic
283C2×C22⋊Dic7C2311yescharacteristic
284C2×C22⋊Dic7C2311yescharacteristic
285C2×C22⋊Dic7C2311yescharacteristic
286#6501C2×C418yescomplemented
287#6501C2×C418yescomplemented
288#6500C2×C418yescomplemented
289#6500C2×C418yescomplemented
290#6498C2×C418yescomplemented
291D4×Dic7—24no—
292D4×Dic7—42no—
293C4×C22⋊D7—24no—
294C4×C22⋊D7—24no—
295C4×C22⋊D7—24no—
296C4×C22⋊D7—24no—
297C4×C22⋊D7—24no—
298C4×C22⋊D7—24no—
299C4×C22⋊D7—42no—
300C2×(C2×D7)⋊C4—24no—
301C2×(C2×D7)⋊C4C2311yescharacteristic
302C2×(C2×D7)⋊C4C2311yescharacteristic
303C2×(C2×D7)⋊C4C2311yescharacteristic
304C2×(C2×D7)⋊C4C2311yescharacteristic
305C2×(C2×D7)⋊C4C2311yescharacteristic
306C2×(C2×D7)⋊C4C2311yescharacteristic
307C2×(C2×D7)⋊C4C2311yescharacteristic
308C2×(C2×D7)⋊C4C2311yescharacteristic
309C2×(C2×D7)⋊C4C2311yescharacteristic
310C2×(C2×D7)⋊C4C2311yescharacteristic
311C2×(C2×D7)⋊C4C2311yescharacteristic
312C2×(C2×D7)⋊C4C2311yescharacteristic
313C2×(C2×D7)⋊C4C2311yescharacteristic
314C2×(C2×D7)⋊C4C2311yescharacteristic
315C2×(C2×D7)⋊C4C2311yescharacteristic
316C2×(C2×D7)⋊C4C2311yescharacteristic
317C2×(C2×D7)⋊C4C2311yescharacteristic
318C2×(C2×D7)⋊C4C2311yescharacteristic
319C2×C4⋊Dic7C2311yescharacteristic
320C2×C4⋊Dic7C2311yescharacteristic
321C2×C4⋊Dic7C2311yescharacteristic
322C2×C4⋊Dic7C2311yescharacteristic
323C2×C4⋊Dic7C2311yescharacteristic
324C2×Dic7⋊C4C2311yescharacteristic
325C2×Dic7⋊C4C2311yescharacteristic
326C2×Dic7⋊C4C2311yescharacteristic
327C2×Dic7⋊C4C2311yescharacteristic
328C2×Dic7⋊C4C2311yescharacteristic
329C2×Dic7⋊C4C2311yescharacteristic
330C2×Dic7⋊C4C2311yescharacteristic
331C2×Dic7⋊C4C2311yescharacteristic
332C2×Dic7⋊C4C2311yescharacteristic
333C2×Dic7⋊C4C2311yescharacteristic
334C2×Dic7⋊C4C2311yescharacteristic
335C2×Dic7⋊C4C2311yescharacteristic
336C2×C4×Dic7C2311yescharacteristic
337C2×C4×Dic7C2311yescharacteristic
338C2×C4×Dic7C2311yescharacteristic
339C2×C4×Dic7C2311yescharacteristic
340C2×C4×Dic7C2311yescharacteristic
341C2×C4×Dic7C2311yescharacteristic
342C2×C4×Dic7C2311yescharacteristic
343C2×C4×Dic7C2311yescharacteristic
344C2×C4×Dic7C2311yescharacteristic
345C2×C4×Dic7C2311yescharacteristic
346C2×C4×Dic7C2311yescharacteristic
347C2×C4×Dic7C2311yescharacteristic
348C2×C4×Dic7C2311yescharacteristic
349#6456—24no—
350D7×C4⋊C4—24no—
351D7×C4⋊C4—42no—
352D7×C4⋊C4—42no—
353#6449C2×C418yescomplemented
354#6447C2×C418yescomplemented
355#6447C2×C418yescomplemented
356#6446C2×C418yescomplemented
357#6446C2×C418yescomplemented
358(C22⋊D7)⋊C4—24no—
359(C22⋊D7)⋊C4—24no—
360(C22⋊D7)⋊C4—24no—
361(C22⋊D7)⋊C4—24no—
362(C22⋊D7)⋊C4—24no—
363(C22⋊D7)⋊C4—24no—
364(C22⋊D7)⋊C4—42no—
365D7×C22⋊C4—24no—
366D7×C22⋊C4—24no—
367D7×C22⋊C4C2×C418yescomplemented
368D7×C22⋊C4D418yescomplemented
369#6440—24no—
370#6440—24no—
371C4×D28—24no—
372C42×D7—24no—
373C7×#95C2311yescharacteristic
374C7×#95C2311yescharacteristic
375C7×#95C2311yescharacteristic
376C7×#95C2311yescharacteristic
377C7×#95C2311yescharacteristic
378C7×#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C7⋊#95C2311yescharacteristic
393C7⋊#95C2311yescharacteristic
394C7⋊#95C2311yescharacteristic
395C7⋊#95C2311yescharacteristic
396C7⋊#95C2311yescharacteristic
397C7⋊#95C2311yescharacteristic
398C7⋊#95C2311yescharacteristic
399C7⋊#95C2311yescharacteristic
400C7⋊#95C2311yescharacteristic
401C7⋊#95C2311yescharacteristic
402C7⋊#95C2311yescharacteristic
403C7⋊#95C2311yescharacteristic
404C7⋊#95C2311yescharacteristic
405C2×#534—71no—
406C2×#518—71no—
407C22×C4×D4—71no—
408#2364—71no—
409#2364—71no—
410#2364—71no—
411#2364—71no—
412#2361—71no—
413#2361—71no—
414#2361—71no—
415#2361—71no—
416#2359—71no—
417#2359—71no—
418#2359—71no—
419#2359—71no—
420#2358—71no—
421#2358—71no—
422#2358—71no—
423#2358D711yescharacteristic, complemented
424#2322—71no—
425#2322—71no—
426#2321—71no—
427#2321—71no—
428#2308—71no—
429C4×#123—71no—
430C4×#123—71no—
431C4×#120—71no—
432C4×#120—71no—
433C2×#386—71no—
434C2×#385—71no—
435#2273—71no—
436C24×C7—22no—
437C24×C7—22no—
438C24×C7—41no—
439C24×C7—41no—
440C24×C7—41no—
441C24×C7—41no—
442C24×C7C22×C414yescomplemented
443C24×C7C2411yescharacteristic
444C24×C7C2411yescharacteristic
445C24×C7C2411yescharacteristic
446C24×C7C2411yescharacteristic
447C23×D7—22no—
448C23×D7—22no—
449C23×D7—41no—
450C23×D7—41no—
451C23×D7—41no—
452C23×D7—41no—
453C23×D7—41no—
454C23×D7—41no—
455C23×D7—41no—
456C23×D7—41no—
457C23×D7C22×C414yes—
458C23×D7C22×C414yes—
459C23×D7C2×D414yes—
460C23×D7#4114yes—
461C23×D7C2411yescharacteristic
462C23×D7C2411yescharacteristic
463C23×D7C2411yescharacteristic
464C2×C7×D4—22no—
465C2×C7×D4—22no—
466C2×C7×D4—41no—
467C2×C7×D4—41no—
468C2×C7×D4—41no—
469C2×C7×D4—41no—
470C2×C7×D4C22×C414yes—
471C2×C7×D4C22×C414yescomplemented
472C2×C7×D4C22×C414yescomplemented
473C22×C4×C7—22no—
474C22×C4×C7—22no—
475C22×C4×C7—22no—
476C22×C4×C7—22no—
477C22×C4×C7—22no—
478C22×C4×C7—22no—
479C22×C4×C7—22no—
480C22×C4×C7—41no—
481C22×C4×C7—41no—
482C22×C4×C7—41no—
483C22×C4×C7—41no—
484C22×C4×C7—41no—
485C22×C4×C7—41no—
486C22×C4×C7—41no—
487C22×C4×C7—41no—
488C22×C4×C7C2411yescharacteristic
489C22×C4×C7C2411yescharacteristic
490C22×C4×C7C2411yescharacteristic
491C22×C4×C7C2411yescharacteristic
492C22×C4×C7C2411yescharacteristic
493C22×C4×C7C2411yescharacteristic
494C22×C4×C7C2411yescharacteristic
495C22×C4×C7C2411yescharacteristic
496C22×C4×C7C2411yescharacteristic
497C22×C4×C7C2411yescharacteristic
498C22×C4×C7C2411yescharacteristic
499C2×C22⋊D7—22no—
500C2×C22⋊D7—22no—
501C2×C22⋊D7—232no—
502C2×C22⋊D7—22no—
503C2×C22⋊D7—22no—
504C2×C22⋊D7—22no—
505C2×C22⋊D7—22no—
506C2×C22⋊D7—22no—
507C2×C22⋊D7—22no—
508C2×C22⋊D7—22no—
509C2×C22⋊D7—22no—
510C2×C22⋊D7—22no—
511C2×C22⋊D7—22no—
512C2×C22⋊D7—41no—
513C2×C22⋊D7—41no—
514C2×C22⋊D7—41no—
515C2×C22⋊D7—41no—
516C2×C22⋊D7C22×C414yes—
517C2×C22⋊D7C22×C414yes—
518C2×C22⋊D7C22×C414yes—
519C2×C22⋊D7C22×C414yes—
520C2×C22⋊D7C22×C414yescomplemented
521C2×C22⋊D7C22×C414yescomplemented
522C2×C22⋊D7C22×C414yescomplemented
523C2×C22⋊D7C22×C414yescomplemented
524C22×Dic7—22no—
525C22×Dic7—22no—
526C22×Dic7—22no—
527C22×Dic7—22no—
528C22×Dic7—22no—
529C22×Dic7—22no—
530C22×Dic7—22no—
531C22×Dic7—22no—
532C22×Dic7—22no—
533C22×Dic7—41no—
534C22×Dic7—41no—
535C22×Dic7—41no—
536C22×Dic7—41no—
537C22×Dic7—41no—
538C22×Dic7—41no—
539C22×Dic7—41no—
540C22×Dic7—41no—
541C22×Dic7C22×C414yescomplemented
542C22×Dic7C2411yescharacteristic
543C22×Dic7C2411yescharacteristic
544C22×Dic7C2411yescharacteristic
545C22×Dic7C2411yescharacteristic
546C22×Dic7C2411yescharacteristic
547C22×Dic7C2411yescharacteristic
548C22×Dic7C2411yescharacteristic
549C22×Dic7C2411yescharacteristic
550C22×Dic7C2411yescharacteristic
551C22×Dic7C2411yescharacteristic
552C22×Dic7C2411yescharacteristic
553C22×Dic7C2411yescharacteristic
554C22×Dic7C2411yescharacteristic
555D4×D7—232no—
556C2×D28—22no—
557C2×D28—22no—
558C2×D28C22×C414yes—
559C2×C4×D7—22no—
560C2×C4×D7—22no—
561C2×C4×D7—22no—
562C2×C4×D7—22no—
563C2×C4×D7—22no—
564C2×C4×D7—22no—
565C2×C4×D7—22no—
566C2×C4×D7—22no—
567C2×C4×D7—22no—
568C2×C4×D7—22no—
569C2×C4×D7—22no—
570C2×C4×D7—22no—
571C2×C4×D7—22no—
572C2×C4×D7—22no—
573C2×C4×D7—22no—
574C2×C4×D7—22no—
575C2×C4×D7—416no—
576C2×C4×D7—416no—
577C2×C4×D7—41no—
578C2×C4×D7—41no—
579C2×C4×D7—41no—
580C2×C4×D7—41no—
581C2×C4×D7—41no—
582C2×C4×D7—41no—
583C2×C4×D7—41no—
584C2×C4×D7—41no—
585C2×C4×D7—41no—
586C2×C4×D7—41no—
587C2×C4×D7—41no—
588C2×C4×D7—41no—
589C2×C4×D7—41no—
590C2×C4×D7—41no—
591C2×C4×D7—41no—
592C2×C4×D7—41no—
593C2×C4×D7—41no—
594C2×C4×D7—41no—
595C2×C4×D7C22×C414yes—
596C2×C4×D7C22×C414yescomplemented
597C2×C4×D7C22×C414yescomplemented
598C2×C4×D7C2×D414yes—
599C2×C4×D7C2×D414yes—
600C7×C4⋊C4—22no—
601C7×C4⋊C4—22no—
602C7×C4⋊C4—41no—
603C7×C22⋊C4—22no—
604C7×C22⋊C4—22no—
605C7×C22⋊C4—22no—
606C7×C22⋊C4—22no—
607C7×C22⋊C4—22no—
608C7×C22⋊C4—22no—
609C7×C22⋊C4—41no—
610C7×C22⋊C4—41no—
611C7×C22⋊C4—41no—
612C7×C22⋊C4—41no—
613C7×C22⋊C4C22×C414yescomplemented
614C7×C22⋊C4C22×C414yescomplemented
615C7×C22⋊C4C22×C414yescomplemented
616C7×C22⋊C4C2×D414yes—
617C42×C7—22no—
618C42×C7—41no—
619C42×C7—41no—
620C22⋊Dic7—22no—
621C22⋊Dic7—22no—
622C22⋊Dic7—22no—
623C22⋊Dic7—22no—
624C22⋊Dic7—22no—
625C22⋊Dic7—22no—
626C22⋊Dic7—41no—
627C22⋊Dic7—41no—
628C22⋊Dic7—41no—
629C22⋊Dic7—41no—
630C22⋊Dic7C22×C414yescomplemented
631C22⋊Dic7C22×C414yescomplemented
632C22⋊Dic7C22×C414yescomplemented
633C22⋊Dic7C22×C414yescomplemented
634C22⋊Dic7C22×C414yescomplemented
635C22⋊Dic7C2×D414yes—
636(C2×D7)⋊C4—22no—
637(C2×D7)⋊C4—22no—
638(C2×D7)⋊C4—22no—
639(C2×D7)⋊C4—22no—
640(C2×D7)⋊C4—22no—
641(C2×D7)⋊C4—22no—
642(C2×D7)⋊C4—22no—
643(C2×D7)⋊C4—22no—
644(C2×D7)⋊C4—41no—
645(C2×D7)⋊C4—41no—
646(C2×D7)⋊C4—41no—
647(C2×D7)⋊C4—41no—
648(C2×D7)⋊C4C22×C414yes—
649(C2×D7)⋊C4C22×C414yes—
650(C2×D7)⋊C4C22×C414yescomplemented
651(C2×D7)⋊C4C22×C414yescomplemented
652(C2×D7)⋊C4C2×D414yes—
653(C2×D7)⋊C4C2×D414yes—
654C4⋊Dic7—22no—
655C4⋊Dic7—22no—
656C4⋊Dic7—41no—
657C4⋊Dic7C22×C414yescomplemented
658C4⋊Dic7C22×C414yescomplemented
659Dic7⋊C4—22no—
660Dic7⋊C4—22no—
661Dic7⋊C4—22no—
662Dic7⋊C4—22no—
663Dic7⋊C4—22no—
664Dic7⋊C4—22no—
665Dic7⋊C4—22no—
666Dic7⋊C4—22no—
667Dic7⋊C4—41no—
668Dic7⋊C4—41no—
669Dic7⋊C4C22×C414yescomplemented
670Dic7⋊C4C22×C414yescomplemented
671C4×Dic7—22no—
672C4×Dic7—22no—
673C4×Dic7—22no—
674C4×Dic7—22no—
675C4×Dic7—22no—
676C4×Dic7—22no—
677C4×Dic7—22no—
678C4×Dic7—41no—
679C4×Dic7—41no—
680C4×Dic7—41no—
681C4×Dic7—41no—
682C4×Dic7—41no—
683C4×Dic7—41no—
684C23×D4—71no—
685C23×D4—71no—
686C24×C4—71no—
687C24×C4—71no—
688#534—716no—
689C2×#123—71no—
690C2×#123—71no—
691C2×#123—71no—
692C2×#123—71no—
693C2×#121—71no—
694C2×#121—71no—
695C2×#121—71no—
696C2×#121—71no—
697C2×#120—71no—
698C2×#120—71no—
699C2×#120—71no—
700C2×#120C2×D711yescharacteristic
701#518—148no—
702C2×C4×D4—71no—
703C2×C4×D4—71no—
704C2×C4×D4—71no—
705C2×C4×D4—71no—
706C2×C4×D4—71no—
707C2×C4×D4—71no—
708C2×C4×D4—71no—
709C2×C4×D4—71no—
710C2×C4×D4—71no—
711C2×C4×D4—71no—
712C2×C4×D4—71no—
713C2×C4×D4—71no—
714C2×C4×D4—71no—
715C2×C4×D4—71no—
716C2×C4×D4—71no—
717C2×C4×D4—71no—
718C2×C4×D4—71no—
719C2×C4×D4—71no—
720C2×C4×D4—148no—
721C2×C4×D4C2×D711yescharacteristic
722C2×C4×D4C2×D711yescharacteristic, complemented
723C2×#117—71no—
724C2×#117—71no—
725C22×C4⋊C4—71no—
726C22×C4⋊C4—71no—
727C22×C4⋊C4—71no—
728C22×C22⋊C4—71no—
729C22×C22⋊C4—71no—
730C22×C22⋊C4—71no—
731C22×C22⋊C4—71no—
732C22×C22⋊C4—71no—
733C22×C22⋊C4—71no—
734C22×C22⋊C4—71no—
735C22×C22⋊C4C2×D711yescharacteristic, complemented
736C22×C22⋊C4C2×D711yescharacteristic, complemented
737C22×C42—71no—
738#390—71no—
739#390—71no—
740#390—71no—
741#390C2×D711yescharacteristic, complemented
742#389—71no—
743#389—71no—
744#389—71no—
745#389—71no—
746#388—71no—
747#388—71no—
748#388—71no—
749#388—71no—
750#388—71no—
751#388—71no—
752#388—71no—
753#388—71no—
754#388—71no—
755#388—71no—
756#388—71no—
757#388—71no—
758#388—71no—
759#388—71no—
760#388C2×D711yescharacteristic, complemented
761#388C2×D711yescharacteristic, complemented
762#387—71no—
763#387—71no—
764#387—71no—
765#387—71no—
766#387—71no—
767#387—71no—
768#387—71no—
769#387—71no—
770#386—71no—
771#386—71no—
772#386—71no—
773#386—71no—
774#386—71no—
775#386—71no—
776#386—71no—
777#386—71no—
778#386—71no—
779#386—71no—
780#386—71no—
781#386—71no—
782#386—71no—
783#386—71no—
784#386—71no—
785#386—71no—
786#386—71no—
787#386—71no—
788#386—71no—
789#386—71no—
790#386—71no—
791#386C2×D711yescharacteristic
792#386C2×D711yescharacteristic, complemented
793#386C2×D711yescharacteristic, complemented
794#385—71no—
795#385—71no—
796#385—71no—
797#385—71no—
798#385—71no—
799#385—71no—
800#385—71no—
801#385—71no—
802#385—71no—
803#385—71no—
804#385—71no—
805#385—71no—
806#385—71no—
807#385—71no—
808#385C2×D711yescharacteristic, complemented
809#385C2×D711yescharacteristic, complemented
810#381—71no—
811#381—71no—
812#379—71no—
813#379—71no—
814C4×C4⋊C4—71no—
815C4×C4⋊C4—71no—
816C4×C4⋊C4—71no—
817C4×C4⋊C4—71no—
818C4×C22⋊C4—71no—
819C4×C22⋊C4—71no—
820C4×C22⋊C4—71no—
821C4×C22⋊C4—71no—
822C4×C22⋊C4—71no—
823C4×C22⋊C4—71no—
824C4×C22⋊C4—71no—
825C4×C22⋊C4—71no—
826C4×C22⋊C4—71no—
827C4×C22⋊C4—71no—
828C4×C22⋊C4—71no—
829C4×C22⋊C4—71no—
830C4×C22⋊C4—71no—
831C4×C22⋊C4—71no—
832C4×C22⋊C4—71no—
833C4×C22⋊C4—71no—
834C4×C22⋊C4—71no—
835C4×C22⋊C4—71no—
836C4×C22⋊C4C2×D711yescharacteristic, complemented
837C4×C22⋊C4C2×D711yescharacteristic, complemented
838C2×#95—71no—
839C2×#95—71no—
840C2×#95—71no—
841C2×#95—71no—
842C23×C7—21no—
843C23×C7—21no—
844C23×C7—21no—
845C23×C7—21no—
846C23×C7—21no—
847C23×C7—21no—
848C23×C7—21no—
849C23×C7—21no—
850C23×C7—21no—
851C23×C7—21no—
852C23×C7—21no—
853C23×C7—21no—
854C23×C7—21no—
855C23×C7—21no—
856C23×C7—21no—
857C23×C7—21no—
858C23×C7—21no—
859C23×C7—21no—
860C23×C7—21no—
861C23×C7—21no—
862C23×C7—21no—
863C23×C7—21no—
864C23×C7—28no—
865C23×C7—44no—
866C23×C7—44no—
867C23×C7—82no—
868C23×C7—82no—
869C23×C7—82no—
870C23×C7—82no—
871C23×C7C23×C412yes—
872C23×C7C23×C412yes—
873C23×C7C23×C412yes—
874C23×C7C23×C412yes—
875C23×C7C22×D412yes—
876C23×C7C2×#4112yes—
877C23×C7C2511yescharacteristic
878C22×D7—21no—
879C22×D7—21no—
880C22×D7—21no—
881C22×D7—21no—
882C22×D7—21no—
883C22×D7—21no—
884C22×D7—21no—
885C22×D7—21no—
886C22×D7—21no—
887C22×D7—21no—
888C22×D7—21no—
889C22×D7—21no—
890C22×D7—21no—
891C22×D7—21no—
892C22×D7—28no—
893C22×D7—44no—
894C22×D7—44no—
895C22×D7—44no—
896C22×D7—44no—
897C22×D7—44no—
898C22×D7—44no—
899C22×D7—44no—
900C22×D7—44no—
901C22×D7—44no—
902C22×D7—44no—
903C22×D7—44no—
904C22×D7—44no—
905C22×D7C4×D4116yescomplemented
906C22×D7C23×C412yes—
907C22×D7C23×C412yes—
908C22×D7C23×C412yes—
909C22×D7C22×D412yes—
910C22×D7C22×D412yes—
911C22×D7C2×#4112yes—
912C22×D7C2×#4112yes—
913C7×D4—28no—
914C7×D4—44no—
915C7×D4—44no—
916C2×C4×C7—21no—
917C2×C4×C7—21no—
918C2×C4×C7—21no—
919C2×C4×C7—21no—
920C2×C4×C7—21no—
921C2×C4×C7—21no—
922C2×C4×C7—21no—
923C2×C4×C7—21no—
924C2×C4×C7—21no—
925C2×C4×C7—21no—
926C2×C4×C7—21no—
927C2×C4×C7—21no—
928C2×C4×C7—21no—
929C2×C4×C7—21no—
930C2×C4×C7—21no—
931C2×C4×C7—21no—
932C2×C4×C7—21no—
933C2×C4×C7—21no—
934C2×C4×C7—21no—
935C2×C4×C7—21no—
936C2×C4×C7—21no—
937C2×C4×C7—21no—
938C2×C4×C7—21no—
939C2×C4×C7—21no—
940C2×C4×C7—21no—
941C2×C4×C7—21no—
942C2×C4×C7—21no—
943C2×C4×C7—44no—
944C2×C4×C7—44no—
945C2×C4×C7—82no—
946C2×C4×C7—82no—
947C2×C4×C7—82no—
948C2×C4×C7C23×C412yes—
949C2×C4×C7C23×C412yes—
950C2×C4×C7C23×C412yes—
951C2×C4×C7C22×D412yes—
952C2×C4×C7C22×D412yes—
953C2×C4×C7H(5,𝔽2)12yes—
954C22⋊D7—28no—
955C22⋊D7—28no—
956C22⋊D7—28no—
957C22⋊D7—28no—
958C22⋊D7—28no—
959C22⋊D7—28no—
960C22⋊D7—44no—
961C22⋊D7—44no—
962C2×Dic7—28no—
963C2×Dic7—21no—
964C2×Dic7—21no—
965C2×Dic7—21no—
966C2×Dic7—21no—
967C2×Dic7—21no—
968C2×Dic7—21no—
969C2×Dic7—21no—
970C2×Dic7—21no—
971C2×Dic7—21no—
972C2×Dic7—21no—
973C2×Dic7—21no—
974C2×Dic7—21no—
975C2×Dic7—21no—
976C2×Dic7—21no—
977C2×Dic7—21no—
978C2×Dic7—21no—
979C2×Dic7—21no—
980C2×Dic7—21no—
981C2×Dic7—21no—
982C2×Dic7—21no—
983C2×Dic7—21no—
984C2×Dic7—21no—
985C2×Dic7—21no—
986C2×Dic7—21no—
987C2×Dic7—21no—
988C2×Dic7—21no—
989C2×Dic7—21no—
990C2×Dic7—21no—
991C2×Dic7—21no—
992C2×Dic7—21no—
993C2×Dic7—21no—
994C2×Dic7—44no—
995C2×Dic7—44no—
996C2×Dic7—82no—
997C2×Dic7—82no—
998C2×Dic7—82no—
999C2×Dic7C23×C412yes—
1000C2×Dic7C23×C412yes—
1001C2×Dic7C23×C412yes—
1002C2×Dic7C23×C412yes—
1003C2×Dic7C23×C412yes—
1004C2×Dic7C22×D412yes—
1005C2×Dic7C22×D412yes—
1006C2×Dic7H(5,𝔽2)12yes—
1007D28—28no—
1008C4×D7—28no—
1009C4×D7—28no—
1010C4×D7—44no—
1011C4×D7—44no—
1012C4×D7—44no—
1013C4×D7—44no—
1014C4×D7—44no—
1015C4×D7—44no—
1016C4×D7—44no—
1017C4×D7—44no—
1018C4×D7—44no—
1019C4×D7—82no—
1020C4×D7—82no—
1021C25—71no—
1022C25—71no—
1023C25C22×D711yescharacteristic
1024C22×D4—78no—
1025C22×D4—71no—
1026C22×D4—71no—
1027C22×D4—71no—
1028C22×D4—71no—
1029C22×D4—71no—
1030C22×D4—71no—
1031C22×D4—71no—
1032C22×D4—71no—
1033C22×D4—78no—
1034C22×D4—71no—
1035C22×D4—144no—
1036C22×D4—144no—
1037C22×D4—144no—
1038C22×D4—144no—
1039C22×D4C22×D711yescharacteristic
1040C22×D4C22×D711yescharacteristic
1041C22×D4C22×D711yescharacteristic
1042C23×C4—71no—
1043C23×C4—71no—
1044C23×C4—71no—
1045C23×C4—71no—
1046C23×C4—71no—
1047C23×C4—71no—
1048C23×C4—71no—
1049C23×C4—71no—
1050C23×C4—71no—
1051C23×C4—71no—
1052C23×C4—71no—
1053C23×C4—71no—
1054C23×C4—71no—
1055C23×C4—71no—
1056C23×C4—71no—
1057C23×C4—71no—
1058C23×C4—71no—
1059C23×C4—71no—
1060C23×C4—71no—
1061C23×C4—144no—
1062C23×C4—144no—
1063C23×C4—282no—
1064C23×C4—282no—
1065C23×C4—282no—
1066C23×C4—282no—
1067C23×C4C22×D711yescharacteristic
1068C23×C4C22×D711yescharacteristic
1069C23×C4C22×D711yescharacteristic
1070C23×C4C22×D711yescharacteristic
1071C23×C4C22×D711yescharacteristic
1072#123—78no—
1073#123—78no—
1074#123—78no—
1075#123—78no—
1076#121—78no—
1077#121—78no—
1078#121—78no—
1079#121—78no—
1080#120—78no—
1081#120—78no—
1082#120—78no—
1083#120C4×D718yescomplemented
1084C4×D4—24no—
1085C4×D4—42no—
1086C4×D4—144no—
1087C4×D4—144no—
1088C4×D4—144no—
1089C4×D4—144no—
1090C4×D4—144no—
1091C4×D4—144no—
1092C4×D4—144no—
1093C4×D4—144no—
1094C4×D4—144no—
1095C4×D4—144no—
1096C4×D4—144no—
1097C4×D4—144no—
1098C4×D4—144no—
1099C4×D4—144no—
1100C4×D4—144no—
1101C4×D4—282no—
1102C4×D4—282no—
1103C4×D4—282no—
1104#117—144no—
1105#117—144no—
1106C2×C4⋊C4—71no—
1107C2×C4⋊C4—71no—
1108C2×C4⋊C4—71no—
1109C2×C4⋊C4—71no—
1110C2×C4⋊C4—71no—
1111C2×C4⋊C4—71no—
1112C2×C4⋊C4—71no—
1113C2×C4⋊C4—71no—
1114C2×C4⋊C4—71no—
1115C2×C4⋊C4—71no—
1116C2×C4⋊C4—71no—
1117C2×C4⋊C4—71no—
1118C2×C4⋊C4—71no—
1119C2×C4⋊C4—71no—
1120C2×C4⋊C4—71no—
1121C2×C4⋊C4—71no—
1122C2×C4⋊C4—71no—
1123C2×C4⋊C4—144no—
1124C2×C4⋊C4—282no—
1125C2×C4⋊C4—282no—
1126C2×C4⋊C4C22×D711yescharacteristic
1127C2×C4⋊C4C22×D711yescharacteristic
1128C2×C4⋊C4C22×D711yescharacteristic
1129C2×C22⋊C4—24no—
1130C2×C22⋊C4—42no—
1131C2×C22⋊C4—71no—
1132C2×C22⋊C4—71no—
1133C2×C22⋊C4—71no—
1134C2×C22⋊C4—71no—
1135C2×C22⋊C4—71no—
1136C2×C22⋊C4—71no—
1137C2×C22⋊C4—71no—
1138C2×C22⋊C4—71no—
1139C2×C22⋊C4—71no—
1140C2×C22⋊C4—71no—
1141C2×C22⋊C4—71no—
1142C2×C22⋊C4—71no—
1143C2×C22⋊C4—78no—
1144C2×C22⋊C4—78no—
1145C2×C22⋊C4—71no—
1146C2×C22⋊C4—71no—
1147C2×C22⋊C4—71no—
1148C2×C22⋊C4—71no—
1149C2×C22⋊C4—71no—
1150C2×C22⋊C4—71no—
1151C2×C22⋊C4—71no—
1152C2×C22⋊C4—71no—
1153C2×C22⋊C4—71no—
1154C2×C22⋊C4—71no—
1155C2×C22⋊C4—71no—
1156C2×C22⋊C4—71no—
1157C2×C22⋊C4—71no—
1158C2×C22⋊C4—71no—
1159C2×C22⋊C4—71no—
1160C2×C22⋊C4—71no—
1161C2×C22⋊C4—71no—
1162C2×C22⋊C4—71no—
1163C2×C22⋊C4—71no—
1164C2×C22⋊C4—71no—
1165C2×C22⋊C4—71no—
1166C2×C22⋊C4—71no—
1167C2×C22⋊C4—144no—
1168C2×C22⋊C4—144no—
1169C2×C22⋊C4—144no—
1170C2×C22⋊C4—144no—
1171C2×C22⋊C4—282no—
1172C2×C22⋊C4C22×D711yescharacteristic
1173C2×C22⋊C4C22×D711yescharacteristic
1174C2×C22⋊C4C22×D711yescharacteristic
1175C2×C22⋊C4C22×D711yescharacteristic
1176C2×C22⋊C4C22×D711yescharacteristic
1177C2×C22⋊C4C22×D711yescharacteristic
1178C2×C22⋊C4C22×D711yescharacteristic
1179C2×C22⋊C4C22×D711yescharacteristic
1180C2×C22⋊C4C22×D711yescharacteristic
1181C2×C22⋊C4C22×D711yescharacteristic
1182C2×C22⋊C4C22×D711yescharacteristic
1183C2×C22⋊C4C22×D711yescharacteristic
1184C2×C22⋊C4C22×D711yescharacteristic
1185C2×C22⋊C4C22×D711yescharacteristic
1186C2×C42—71no—
1187C2×C42—71no—
1188C2×C42—71no—
1189C2×C42—71no—
1190C2×C42—71no—
1191C2×C42—71no—
1192C2×C42—71no—
1193C2×C42—71no—
1194C2×C42—71no—
1195C2×C42—71no—
1196C2×C42—71no—
1197C2×C42—71no—
1198C2×C42—71no—
1199C2×C42—144no—
1200C2×C42C22×D711yescharacteristic
1201C2×C42C22×D711yescharacteristic
1202C2×C42C22×D711yescharacteristic
1203#95—71no—
1204#95—71no—
1205#95—71no—
1206#95—71no—
1207#95—71no—
1208#95—71no—
1209#95—71no—
1210#95—71no—
1211#95—71no—
1212#95—71no—
1213#95—71no—
1214#95—71no—
1215#95—71no—
1216#95—71no—
1217#95—71no—
1218#95—71no—
1219#95—71no—
1220#95—71no—
1221#95—71no—
1222#95—71no—
1223#95—71no—
1224#95—71no—
1225#95—71no—
1226#95—71no—
1227#95—71no—
1228#95—71no—
1229#95C22×D711yescharacteristic
1230#95C22×D711yescharacteristic
1231#95C22×D711yescharacteristic
1232#95C22×D711yescharacteristic
1233#95C22×D711yescharacteristic
1234#95C22×D711yescharacteristic
1235C22×C7—22no—
1236C22×C7—22no—
1237C22×C7—22no—
1238C22×C7—22no—
1239C22×C7—22no—
1240C22×C7—22no—
1241C22×C7—22no—
1242C22×C7—22no—
1243C22×C7—22no—
1244C22×C7—22no—
1245C22×C7—22no—
1246C22×C7—22no—
1247C22×C7—22no—
1248C22×C7—22no—
1249C22×C7—22no—
1250C22×C7—41no—
1251C22×C7—41no—
1252C22×C7—41no—
1253C22×C7—41no—
1254C22×C7—41no—
1255C22×C7—41no—
1256C22×C7—41no—
1257C22×C7—41no—
1258C22×C7—41no—
1259C22×C7—41no—
1260C22×C7—41no—
1261C22×C7—41no—
1262C22×C7—88no—
1263C22×C7C2×C4×D414yes—
1264C22×C7C24×C411yescharacteristic
1265C22×C7C23×D411yescharacteristic
1266C22×C7C22×#4111yescharacteristic
1267C22×C7C2×H(5,𝔽2)11yescharacteristic
1268C22×C7C2×H(5,𝔽2)11yescharacteristic
1269C22×C7#58511yescharacteristic
1270C22×C7#58511yescharacteristic
1271C2×D7—22no—
1272C2×D7—22no—
1273C2×D7—22no—
1274C2×D7—22no—
1275C2×D7—22no—
1276C2×D7—22no—
1277C2×D7—22no—
1278C2×D7—22no—
1279C2×D7—22no—
1280C2×D7—22no—
1281C2×D7—22no—
1282C2×D7—22no—
1283C2×D7—22no—
1284C2×D7—22no—
1285C2×D7—22no—
1286C2×D7—416no—
1287C2×D7—416no—
1288C2×D7—41no—
1289C2×D7—41no—
1290C2×D7—41no—
1291C2×D7—41no—
1292C2×D7C2×C4×D414yes—
1293C2×D7C2×C4×D414yes—
1294C4×C7—22no—
1295C4×C7—22no—
1296C4×C7—22no—
1297C4×C7—22no—
1298C4×C7—22no—
1299C4×C7—22no—
1300C4×C7—41no—
1301C4×C7—41no—
1302C4×C7—41no—
1303C4×C7—41no—
1304C4×C7—41no—
1305Dic7—22no—
1306Dic7—22no—
1307Dic7—22no—
1308Dic7—22no—
1309Dic7—22no—
1310Dic7—22no—
1311Dic7—22no—
1312Dic7—22no—
1313Dic7—41no—
1314Dic7—41no—
1315Dic7—41no—
1316Dic7—41no—
1317Dic7—41no—
1318C24—22no—
1319C24—22no—
1320C24—41no—
1321C24—41no—
1322C24—41no—
1323C24—41no—
1324C24—71no—
1325C24—71no—
1326C24—74no—
1327C24—74no—
1328C24—74no—
1329C24—71no—
1330C24—74no—
1331C24—142no—
1332C24—142no—
1333C24—281no—
1334C24—281no—
1335C24—281no—
1336C24—281no—
1337C24—281no—
1338C24—281no—
1339C24—281no—
1340C24—281no—
1341C24C2×C4×D714yescomplemented
1342C24C23×D711yescharacteristic
1343C24C23×D711yescharacteristic
1344C24C23×D711yescharacteristic
1345C24C23×D711yescharacteristic
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—74no—
1353C2×D4—74no—
1354C2×D4—74no—
1355C2×D4—74no—
1356C2×D4—74no—
1357C2×D4—74no—
1358C2×D4—74no—
1359C2×D4—74no—
1360C2×D4—74no—
1361C2×D4—142no—
1362C2×D4—142no—
1363C2×D4—1432no—
1364C2×D4—142no—
1365C2×D4—142no—
1366C2×D4—142no—
1367C2×D4—142no—
1368C2×D4—142no—
1369C2×D4—1432no—
1370C2×D4—142no—
1371C2×D4—142no—
1372C2×D4—142no—
1373C2×D4—142no—
1374C2×D4—142no—
1375C2×D4—142no—
1376C2×D4—142no—
1377C2×D4—281no—
1378C2×D4—281no—
1379C2×D4—281no—
1380C2×D4—281no—
1381C2×D4C2×C4×D714yes—
1382C2×D4C2×C4×D714yescomplemented
1383C2×D4C2×C4×D714yescomplemented
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—74no—
1400C22×C4—71no—
1401C22×C4—71no—
1402C22×C4—71no—
1403C22×C4—71no—
1404C22×C4—71no—
1405C22×C4—71no—
1406C22×C4—71no—
1407C22×C4—71no—
1408C22×C4—74no—
1409C22×C4—74no—
1410C22×C4—74no—
1411C22×C4—74no—
1412C22×C4—74no—
1413C22×C4—71no—
1414C22×C4—71no—
1415C22×C4—71no—
1416C22×C4—71no—
1417C22×C4—71no—
1418C22×C4—142no—
1419C22×C4—142no—
1420C22×C4—142no—
1421C22×C4—142no—
1422C22×C4—142no—
1423C22×C4—142no—
1424C22×C4—142no—
1425C22×C4—142no—
1426C22×C4—142no—
1427C22×C4—142no—
1428C22×C4—142no—
1429C22×C4—142no—
1430C22×C4—142no—
1431C22×C4—142no—
1432C22×C4—142no—
1433C22×C4—142no—
1434C22×C4—142no—
1435C22×C4—142no—
1436C22×C4—142no—
1437C22×C4—142no—
1438C22×C4—142no—
1439C22×C4—142no—
1440C22×C4—142no—
1441C22×C4—142no—
1442C22×C4—142no—
1443C22×C4—281no—
1444C22×C4—281no—
1445C22×C4—281no—
1446C22×C4—281no—
1447C22×C4—281no—
1448C22×C4—281no—
1449C22×C4—281no—
1450C22×C4—281no—
1451C22×C4—281no—
1452C22×C4—281no—
1453C22×C4—281no—
1454C22×C4—281no—
1455C22×C4—281no—
1456C22×C4—281no—
1457C22×C4—281no—
1458C22×C4—281no—
1459C22×C4—281no—
1460C22×C4—281no—
1461C22×C4—2816no—
1462C22×C4—2816no—
1463C22×C4—281no—
1464C22×C4—281no—
1465C22×C4—281no—
1466C22×C4—281no—
1467C22×C4—281no—
1468C22×C4—281no—
1469C22×C4—281no—
1470C22×C4—281no—
1471C22×C4C23×D711yescharacteristic
1472C22×C4C23×D711yescharacteristic
1473C22×C4C23×D711yescharacteristic
1474C22×C4C23×D711yescharacteristic
1475C22×C4C23×D711yescharacteristic
1476C22×C4C23×D711yescharacteristic
1477C22×C4C23×D711yescharacteristic
1478C22×C4C23×D711yescharacteristic
1479C22×C4C23×D711yescharacteristic
1480C22×C4C23×D711yescharacteristic
1481C22×C4C23×D711yescharacteristic
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—41no—
1485C4⋊C4—74no—
1486C4⋊C4—74no—
1487C4⋊C4—74no—
1488C4⋊C4—74no—
1489C4⋊C4—142no—
1490C4⋊C4—142no—
1491C4⋊C4—142no—
1492C4⋊C4—142no—
1493C4⋊C4—142no—
1494C4⋊C4—142no—
1495C4⋊C4—142no—
1496C4⋊C4—142no—
1497C4⋊C4—142no—
1498C4⋊C4—142no—
1499C4⋊C4—281no—
1500C4⋊C4—281no—
1501C4⋊C4—281no—
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—74no—
1513C22⋊C4—74no—
1514C22⋊C4—74no—
1515C22⋊C4—74no—
1516C22⋊C4—74no—
1517C22⋊C4—74no—
1518C22⋊C4—74no—
1519C22⋊C4—74no—
1520C22⋊C4—74no—
1521C22⋊C4—74no—
1522C22⋊C4—74no—
1523C22⋊C4—74no—
1524C22⋊C4—142no—
1525C22⋊C4—142no—
1526C22⋊C4—142no—
1527C22⋊C4—142no—
1528C22⋊C4—142no—
1529C22⋊C4—142no—
1530C22⋊C4—142no—
1531C22⋊C4—142no—
1532C22⋊C4—142no—
1533C22⋊C4—142no—
1534C22⋊C4—142no—
1535C22⋊C4—142no—
1536C22⋊C4—142no—
1537C22⋊C4—142no—
1538C22⋊C4—281no—
1539C22⋊C4—281no—
1540C22⋊C4—281no—
1541C22⋊C4—281no—
1542C22⋊C4—281no—
1543C22⋊C4—281no—
1544C22⋊C4—281no—
1545C22⋊C4—281no—
1546C22⋊C4C2×C4×D714yescomplemented
1547C22⋊C4C2×C4×D714yescomplemented
1548C22⋊C4C2×C4×D714yescomplemented
1549C22⋊C4D4×D714yes—
1550C42—22no—
1551C42—41no—
1552C42—41no—
1553C42—142no—
1554C42—142no—
1555C42—142no—
1556C42—142no—
1557C42—142no—
1558C42—142no—
1559C42—142no—
1560C42—281no—
1561C42—281no—
1562C42—281no—
1563C42—281no—
1564C42—281no—
1565C42—281no—
1566C2×C7—24no—
1567C2×C7—42no—
1568C2×C7—42no—
1569C2×C7—42no—
1570C2×C7C22×C4×D411yescharacteristic
1571C2×C7C4×H(5,𝔽2)11yescharacteristic
1572C2×C7C4×H(5,𝔽2)11yescharacteristic
1573C2×C7#348411yescharacteristic
1574C2×C7#348511yescharacteristic
1575C2×C7#350511yescharacteristic
1576C2×C7#350511yescharacteristic
1577D7—24no—
1578D7—24no—
1579D7—42no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—28no—
1603C23—44no—
1604C23—44no—
1605C23—72no—
1606C23—72no—
1607C23—72no—
1608C23—72no—
1609C23—72no—
1610C23—72no—
1611C23—716no—
1612C23—72no—
1613C23—82no—
1614C23—82no—
1615C23—82no—
1616C23—82no—
1617C23—148no—
1618C23—141no—
1619C23—141no—
1620C23—141no—
1621C23—141no—
1622C23—141no—
1623C23—141no—
1624C23—141no—
1625C23—141no—
1626C23—141no—
1627C23—141no—
1628C23—141no—
1629C23—141no—
1630C23—141no—
1631C23—141no—
1632C23—284no—
1633C23—284no—
1634C23—284no—
1635C23—284no—
1636C23—284no—
1637C23—284no—
1638C23—284no—
1639C23—284no—
1640C23—284no—
1641C23—284no—
1642C23—284no—
1643C23—284no—
1644C23C22×C4×D712yes—
1645C23C22×C4×D712yes—
1646C23C22×C4×D712yes—
1647C23C22×C4×D712yes—
1648C23C2×D4×D712yes—
1649C23D7×#4112yes—
1650C23C24×D711yescharacteristic
1651D4—28no—
1652D4—44no—
1653D4—44no—
1654D4—148no—
1655D4—148no—
1656D4—148no—
1657D4—148no—
1658D4—148no—
1659D4—148no—
1660D4—148no—
1661D4—284no—
1662D4—284no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—72no—
1693C2×C4—72no—
1694C2×C4—72no—
1695C2×C4—72no—
1696C2×C4—72no—
1697C2×C4—72no—
1698C2×C4—72no—
1699C2×C4—72no—
1700C2×C4—82no—
1701C2×C4—82no—
1702C2×C4—82no—
1703C2×C4—148no—
1704C2×C4—148no—
1705C2×C4—148no—
1706C2×C4—141no—
1707C2×C4—141no—
1708C2×C4—141no—
1709C2×C4—141no—
1710C2×C4—141no—
1711C2×C4—141no—
1712C2×C4—141no—
1713C2×C4—141no—
1714C2×C4—141no—
1715C2×C4—141no—
1716C2×C4—141no—
1717C2×C4—141no—
1718C2×C4—141no—
1719C2×C4—141no—
1720C2×C4—141no—
1721C2×C4—141no—
1722C2×C4—141no—
1723C2×C4—141no—
1724C2×C4—141no—
1725C2×C4—141no—
1726C2×C4—141no—
1727C2×C4—141no—
1728C2×C4—141no—
1729C2×C4—141no—
1730C2×C4—141no—
1731C2×C4—141no—
1732C2×C4—141no—
1733C2×C4—141no—
1734C2×C4—141no—
1735C2×C4—141no—
1736C2×C4—141no—
1737C2×C4—284no—
1738C2×C4—284no—
1739C2×C4—284no—
1740C2×C4—284no—
1741C2×C4—284no—
1742C2×C4—284no—
1743C2×C4—284no—
1744C2×C4—284no—
1745C2×C4—284no—
1746C2×C4—284no—
1747C2×C4—284no—
1748C2×C4—562no—
1749C2×C4—562no—
1750C2×C4—562no—
1751C2×C4—562no—
1752C2×C4—562no—
1753C2×C4C22×C4×D712yes—
1754C2×C4C22×C4×D712yes—
1755C2×C4C22×C4×D712yes—
1756C2×C4C2×D4×D712yes—
1757C2×C4C2×D4×D712yes—
1758C2×C4#654812yes—
1759C7#3426411yescharacteristic, complemented, Sylow
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—74no—
1788C22—74no—
1789C22—88no—
1790C22—142no—
1791C22—142no—
1792C22—142no—
1793C22—142no—
1794C22—142no—
1795C22—142no—
1796C22—142no—
1797C22—142no—
1798C22—142no—
1799C22—142no—
1800C22—142no—
1801C22—142no—
1802C22—142no—
1803C22—142no—
1804C22—142no—
1805C22—2816no—
1806C22—2816no—
1807C22—281no—
1808C22—281no—
1809C22—281no—
1810C22—281no—
1811C22C4×D4×D714yes—
1812C22C23×C4×D711yescharacteristic
1813C22C22×D4×D711yescharacteristic
1814C22C2×#654811yescharacteristic
1815C22C2×D7×#4111yescharacteristic
1816C22#9061611yescharacteristic
1817C22D7×H(5,𝔽2)11yescharacteristic
1818C22#9061811yescharacteristic
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—22no—
1824C4—22no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—142no—
1831C4—142no—
1832C4—142no—
1833C4—142no—
1834C4—142no—
1835C4—142no—
1836C4—142no—
1837C4—142no—
1838C4—281no—
1839C4—281no—
1840C4—281no—
1841C4—281no—
1842C4—281no—
1843C2—24no—
1844C2—42no—
1845C2—42no—
1846C2—42no—
1847C2—144no—
1848C2—144no—
1849C2—282no—
1850C2C4×#654811yescharacteristic
1851C2C2×C4×D4×D711yescharacteristic
1852C2#1174292511yescharacteristic
1853C2#1174368811yescharacteristic
1854C2#1174373111yescharacteristic
1855C2#1174373411yescharacteristic
1856C2#1174388511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2358C2
socle, cosocleC23×C7C25
prime radicalC2×#90280C2
hypercenter#2358D7
hypocenterC7#34264
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D7C2semidirect
3. C2×#90177C2semidirect
4. C7×#2358C2semidirect
5. #11740024C2semidirect
6. #11739844C2semidirect
7. C4×#6500C2semidirect
8. #11739784C2semidirect
9. C2×#89728C2semidirect
10. #11739544C2semidirect
11. #11739544C2semidirect
12. #11733878C2semidirect
13. #11733874C2semidirect
14. #11733284C2semidirect
15. #11733273C2semidirect
16. #11732922C2semidirect
17. #11732898C2semidirect
18. #11732326C2semidirect
19. #11732326C2semidirect
20. #11732321C2semidirect
21. #11732319C2semidirect
22. #11732120C2semidirect
23. #11732104C2semidirect
24. #11732038C2semidirect
25. D7×#385C2semidirect
26. #11731842C2semidirect
27. #11731840C2semidirect
28. #11731024C2semidirect
29. C4×#6446C2semidirect
30. #11731005C2semidirect
31. #11730909C2semidirect
35. C23×C4×D7C22semidirect
38. C2×C4×C7×D4C22semidirect
39. C22×C7×C22⋊C4C22semidirect
40. C22×C7×C22⋊C4C22semidirect
42. C22×C22⋊Dic7C22semidirect
43. C22×C22⋊Dic7C22semidirect
50. C2×D4×Dic7C22semidirect
54. C2×C4×C22⋊D7C22semidirect
55. C2×C4×C22⋊D7C22semidirect
56. C2×C4×C22⋊D7C22semidirect
57. C2×C4×C22⋊D7C22semidirect
59. #90280C4semidirect
61. C2×#6456C22semidirect
62. C2×D7×C4⋊C4C22semidirect
63. C2×D7×C4⋊C4C22semidirect
64. C2×D7×C4⋊C4C22semidirect
74. C2×(C22⋊D7)⋊C4C22semidirect
75. C2×(C22⋊D7)⋊C4C22semidirect
76. C2×(C22⋊D7)⋊C4C22semidirect
77. C2×(C22⋊D7)⋊C4C22semidirect
81. C2×D7×C22⋊C4C22semidirect
82. C2×#6440C22semidirect
83. C2×#6440C22semidirect
84. C2×C4×D28C22semidirect
85. C2×C42×D7C22semidirect
86. C7×#390C22semidirect
87. C7×#388C22semidirect
88. C7×#388C22semidirect
90. C7×#386C22semidirect
91. C7×#386C22semidirect
92. C7×#385C22semidirect
93. C7×#385C22semidirect
94. C4×C7×C22⋊C4C22semidirect
95. C4×C7×C22⋊C4C22semidirect
96. #89993C22semidirect
98. #89992C22semidirect
99. #89992C22semidirect
101. #89985C22semidirect
102. #89982C22semidirect
103. #89982C22semidirect
104. #89982C22semidirect
105. C4×C22⋊Dic7C22semidirect
106. C4×C22⋊Dic7C22semidirect
107. C4×C22⋊Dic7C22semidirect
108. C2×C7⋊#95C22semidirect
109. C2×C7⋊#95C22semidirect
110. #89762C22semidirect
111. #89761C22semidirect
112. #89761C22semidirect
113. #89761C22semidirect
114. #89750C22semidirect
115. C4⋊C4×Dic7C22semidirect
116. #89745C22semidirect
117. #89744C22semidirect
119. #89730C22semidirect
120. #89729C22semidirect
121. #89729C22semidirect
126. #89728C22semidirect
127. #89728C22semidirect
128. #89728C22semidirect
129. #89728C22semidirect
130. #89728C22semidirect
131. #89728C22semidirect
132. #89728C22semidirect
133. #89728C22semidirect
134. #89727C22semidirect
135. #89727C22semidirect
136. #89723C22semidirect
137. #89723C22semidirect
138. #89722C22semidirect
139. #89722C22semidirect
140. #89718C22semidirect
141. #89718C22semidirect
142. #89718C22semidirect
143. #89717C22semidirect
144. #89717C22semidirect
145. #89717C22semidirect
146. #89717C22semidirect
147. #89716C22semidirect
148. #89716C22semidirect
149. #89716C22semidirect
150. #89716C22semidirect
151. C22⋊C4×Dic7C22semidirect
152. C22⋊C4×Dic7C22semidirect
153. C22⋊C4×Dic7C22semidirect
154. C22⋊C4×Dic7C22semidirect
155. C22⋊C4×Dic7C22semidirect
156. #89712C22semidirect
157. C4×(C2×D7)⋊C4C22semidirect
158. C4×(C2×D7)⋊C4C22semidirect
159. C4×(C2×D7)⋊C4C22semidirect
160. C4×(C2×D7)⋊C4C22semidirect
161. C4×(C2×D7)⋊C4C22semidirect
162. C4×C4⋊Dic7C22semidirect
163. #89705C22semidirect
164. C4×Dic7⋊C4C22semidirect
165. #89700C22semidirect
166. #89442C22semidirect
167. #89441C22semidirect
168. #89440C22semidirect
169. #89440C22semidirect
170. #89440C22semidirect
171. #89438C22semidirect
172. #89438C22semidirect
173. #89438C22semidirect
174. #89438C22semidirect
175. #89438C22semidirect
176. #89437C22semidirect
177. #89437C22semidirect
178. #89436C22semidirect
179. #89436C22semidirect
180. D7×#95C22semidirect
181. D7×#95C22semidirect
182. #89427C22semidirect
183. #89426C22semidirect
184. #89426C22semidirect
185. #89425C22semidirect
186. #89425C22semidirect
187. #89424C22semidirect
188. #89421C22semidirect
189. #89419C22semidirect
204. C22×C22⋊D7C2×C4semidirect
221. C2×D4×D7C2×C4semidirect
242. C7×#120C2×C4semidirect
267. #6516C2×C4semidirect
286. #6501C2×C4semidirect
287. #6501C2×C4semidirect
288. #6500C2×C4semidirect
289. #6500C2×C4semidirect
290. #6498C2×C4semidirect
353. #6449C2×C4semidirect
354. #6447C2×C4semidirect
355. #6447C2×C4semidirect
356. #6446C2×C4semidirect
357. #6446C2×C4semidirect
367. D7×C22⋊C4C2×C4semidirect
368. D7×C22⋊C4D4semidirect
423. #2358D7semidirect
442. C24×C7C22×C4semidirect
471. C2×C7×D4C22×C4semidirect
472. C2×C7×D4C22×C4semidirect
520. C2×C22⋊D7C22×C4semidirect
521. C2×C22⋊D7C22×C4semidirect
522. C2×C22⋊D7C22×C4semidirect
523. C2×C22⋊D7C22×C4semidirect
541. C22×Dic7C22×C4semidirect
596. C2×C4×D7C22×C4semidirect
597. C2×C4×D7C22×C4semidirect
613. C7×C22⋊C4C22×C4semidirect
614. C7×C22⋊C4C22×C4semidirect
615. C7×C22⋊C4C22×C4semidirect
630. C22⋊Dic7C22×C4semidirect
631. C22⋊Dic7C22×C4semidirect
632. C22⋊Dic7C22×C4semidirect
633. C22⋊Dic7C22×C4semidirect
634. C22⋊Dic7C22×C4semidirect
650. (C2×D7)⋊C4C22×C4semidirect
651. (C2×D7)⋊C4C22×C4semidirect
657. C4⋊Dic7C22×C4semidirect
658. C4⋊Dic7C22×C4semidirect
669. Dic7⋊C4C22×C4semidirect
670. Dic7⋊C4C22×C4semidirect
722. C2×C4×D4C2×D7semidirect
735. C22×C22⋊C4C2×D7semidirect
736. C22×C22⋊C4C2×D7semidirect
741. #390C2×D7semidirect
760. #388C2×D7semidirect
761. #388C2×D7semidirect
792. #386C2×D7semidirect
793. #386C2×D7semidirect
808. #385C2×D7semidirect
809. #385C2×D7semidirect
836. C4×C22⋊C4C2×D7semidirect
837. C4×C22⋊C4C2×D7semidirect
905. C22×D7C4×D4semidirect
1083. #120C4×D7semidirect
1341. C24C2×C4×D7semidirect
1382. C2×D4C2×C4×D7semidirect
1383. C2×D4C2×C4×D7semidirect
1546. C22⋊C4C2×C4×D7semidirect
1547. C22⋊C4C2×C4×D7semidirect
1548. C22⋊C4C2×C4×D7semidirect
1759. C7#34264semidirect

Maximal subgroups

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

subgroupindex
C2×#902802
C2×C4×D4×D72
C2×#901772
C7×#23582
#117400242
#117398442
C4×#65002
#117397842
C2×#897282
#117395442
#117338782
#117338742
#117332842
#117332732
#117329222
#117328982
#117323262
#117323212
#117323192
#117321202
#117321042
#117320382
D7×#3852
#117318422
#117318402
#117310242
C4×#64462
#117310052
#117309092
#342647