Finite Group Databasebeta

← #13514928

Subgroups — #13514928

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×#90296C211yesmaximal, characteristic
2C2×#90236C211yesmaximal, characteristic, complemented
3C2×C4×D4×D7C211yesmaximal, characteristic, complemented
4C7×#2361C211yesmaximal, characteristic, complemented
5#11740083C211yesmaximal, characteristic, complemented
6#11739843C211yesmaximal, characteristic, complemented
7C4×#6500C211yesmaximal, characteristic, complemented
8#11739787C211yesmaximal, characteristic, complemented
9#11739785C211yesmaximal, characteristic, complemented
10C2×#89761C211yesmaximal, characteristic, complemented
11#11739608C211yesmaximal, characteristic, complemented
12#11733877C211yesmaximal, characteristic, complemented
13#11733874C211yesmaximal, characteristic, complemented
14#11733649C211yesmaximal, characteristic, complemented
15#11733641C211yesmaximal, characteristic, complemented
16#11733282C211yesmaximal, characteristic, complemented
17#11733281C211yesmaximal, characteristic, complemented
18#11733272C211yesmaximal, characteristic, complemented
19#11732898C211yesmaximal, characteristic, complemented
20#11732319C211yesmaximal, characteristic, complemented
21D7×#386C211yesmaximal, characteristic, complemented
22#11732123C211yesmaximal, characteristic, complemented
23#11732121C211yesmaximal, characteristic, complemented
24#11732042C211yesmaximal, characteristic, complemented
25#11732041C211yesmaximal, characteristic, complemented
26#11732038C211yesmaximal, characteristic, complemented
27#11731824C211yesmaximal, characteristic, complemented
28#11731217C211yesmaximal, characteristic, complemented
29C4×#6457C211yesmaximal, characteristic, complemented
30#11731005C211yesmaximal, characteristic, complemented
31#11730916C211yesmaximal, characteristic, complemented
32C22×D4×D7C2211yescharacteristic
33C22×D4×D7C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic
35C23×C4×D7C2211yescharacteristic, complemented
36C2×C7×#121C2211yescharacteristic
37C2×C4×C7×D4C2211yescharacteristic, complemented
38C2×C4×C7×D4C2211yescharacteristic, complemented
39C2×C4×C7×D4C2211yescharacteristic, complemented
40C22×C7×C4⋊C4C2211yescharacteristic, complemented
41C2×#6502C2211yescharacteristic
42C2×#6502C2211yescharacteristic
43C2×#6500C2211yescharacteristic
44C2×#6500C2211yescharacteristic
45C2×D4×Dic7C2211yescharacteristic, complemented
46C2×D4×Dic7C2211yescharacteristic, complemented
47C2×#6493C2211yescharacteristic
48C2×C4×C22⋊D7C2211yescharacteristic
49C2×C4×C22⋊D7C2211yescharacteristic
50C2×C4×C22⋊D7C2211yescharacteristic, complemented
51C2×C4×C22⋊D7C2211yescharacteristic, complemented
52C2×C4×C22⋊D7C2211yescharacteristic, complemented
53C22×(C2×D7)⋊C4C2211yescharacteristic
54C22×(C2×D7)⋊C4C2211yescharacteristic
55C22×(C2×D7)⋊C4C2211yescharacteristic, complemented
56C22×Dic7⋊C4C2211yescharacteristic, complemented
57#90296C4116yescomplemented
58#90236—28no—
59C4×D4×D7—28no—
60C2×#6457C2211yescharacteristic
61C2×#6457C2211yescharacteristic
62C2×#6456C2211yescharacteristic
63C2×#6456C2211yescharacteristic
64C2×#6456C2211yescharacteristic, complemented
65C2×#6455C2211yescharacteristic, complemented
66C2×D7×C4⋊C4C2211yescharacteristic, complemented
67C2×#6446C2211yescharacteristic
68C2×#6446C2211yescharacteristic
69C2×#6445C2211yescharacteristic
70C2×#6445C2211yescharacteristic
71C2×(C22⋊D7)⋊C4C2211yescharacteristic
72C2×(C22⋊D7)⋊C4C2211yescharacteristic
73C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
74C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
75C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
76C2×D7×C22⋊C4C2211yescharacteristic
77C2×D7×C22⋊C4C2211yescharacteristic
78C2×D7×C22⋊C4C2211yescharacteristic, complemented
79C2×D7×C22⋊C4C2211yescharacteristic, complemented
80C2×D7×C22⋊C4C2211yescharacteristic, complemented
81C2×D7×C22⋊C4C2211yescharacteristic, complemented
82C2×C4×D28C2211yescharacteristic
83C2×C4×D28C2211yescharacteristic
84C2×#6435C2211yescharacteristic, complemented
85C2×C42×D7C2211yescharacteristic, complemented
86C7×#390C2211yescharacteristic, complemented
87C7×#389C2211yescharacteristic, complemented
88C7×#388C2211yescharacteristic, complemented
89C7×#388C2211yescharacteristic, complemented
90C7×#386C2211yescharacteristic, complemented
91C7×#386C2211yescharacteristic, complemented
92C7×#385C2211yescharacteristic, complemented
93C7×#385C2211yescharacteristic, complemented
94C4×C7×C4⋊C4C2211yescharacteristic, complemented
95C4×C7×C22⋊C4C2211yescharacteristic, complemented
96#89992C2211yescharacteristic, complemented
97#89992C2211yescharacteristic, complemented
98#89992C2211yescharacteristic, complemented
99#89992C2211yescharacteristic, complemented
100#89985C2211yescharacteristic, complemented
101#89985C2211yescharacteristic, complemented
102#89985C2211yescharacteristic, complemented
103#89982C2211yescharacteristic, complemented
104C4×C22⋊Dic7C2211yescharacteristic, complemented
105C4×C22⋊Dic7C2211yescharacteristic, complemented
106C2×C7⋊#95C2211yescharacteristic, complemented
107C2×C7⋊#95C2211yescharacteristic, complemented
108#89762C2211yescharacteristic, complemented
109#89762C2211yescharacteristic, complemented
110#89762C2211yescharacteristic, complemented
111#89761C2211yescharacteristic, complemented
112#89761C2211yescharacteristic, complemented
113#89761C2211yescharacteristic, complemented
114#89761C2211yescharacteristic, complemented
115#89761C2211yescharacteristic, complemented
116#89761C2211yescharacteristic, complemented
117#89761C2211yescharacteristic, complemented
118#89761C2211yescharacteristic, complemented
119#89761C2211yescharacteristic, complemented
120#89761C2211yescharacteristic, complemented
121#89761C2211yescharacteristic, complemented
122#89760C2211yescharacteristic, complemented
123#89753C2211yescharacteristic, complemented
124#89753C2211yescharacteristic, complemented
125#89750C2211yescharacteristic, complemented
126C4⋊C4×Dic7C2211yescharacteristic, complemented
127#89745C2211yescharacteristic, complemented
128#89744C2211yescharacteristic, complemented
129#89730C2211yescharacteristic, complemented
130#89730C2211yescharacteristic, complemented
131#89730C2211yescharacteristic, complemented
132#89729C2211yescharacteristic, complemented
133#89729C2211yescharacteristic, complemented
134#89728C2211yescharacteristic
135#89728C2211yescharacteristic
136#89728C2211yescharacteristic
137#89728C2211yescharacteristic
138#89728C2211yescharacteristic, complemented
139#89728C2211yescharacteristic, complemented
140#89727C2211yescharacteristic, complemented
141#89727C2211yescharacteristic, complemented
142#89723C2211yescharacteristic, complemented
143#89723C2211yescharacteristic, complemented
144#89718C2211yescharacteristic, complemented
145#89717C2211yescharacteristic, complemented
146#89717C2211yescharacteristic, complemented
147#89716C2211yescharacteristic, complemented
148#89716C2211yescharacteristic, complemented
149C22⋊C4×Dic7C2211yescharacteristic, complemented
150C22⋊C4×Dic7C2211yescharacteristic, complemented
151C22⋊C4×Dic7C2211yescharacteristic, complemented
152C22⋊C4×Dic7C2211yescharacteristic, complemented
153C22⋊C4×Dic7C2211yescharacteristic, complemented
154#89712C2211yescharacteristic, complemented
155#89712C2211yescharacteristic, 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×(C2×D7)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
164#89705C2211yescharacteristic, complemented
165C4×Dic7⋊C4C2211yescharacteristic, complemented
166#89442C2211yescharacteristic, complemented
167#89441C2211yescharacteristic, complemented
168#89440C2211yescharacteristic, complemented
169#89438C2211yescharacteristic, complemented
170#89438C2211yescharacteristic, complemented
171#89438C2211yescharacteristic, complemented
172#89438C2211yescharacteristic, complemented
173#89438C2211yescharacteristic, complemented
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177#89437C2211yescharacteristic
178#89437C2211yescharacteristic, complemented
179#89437C2211yescharacteristic, complemented
180#89436C2211yescharacteristic, complemented
181#89436C2211yescharacteristic, complemented
182D7×#95C2211yescharacteristic, complemented
183D7×#95C2211yescharacteristic, complemented
184#89427C2211yescharacteristic, complemented
185#89425C2211yescharacteristic, complemented
186#89425C2211yescharacteristic, complemented
187#89424C2211yescharacteristic, complemented
188#89421C2211yescharacteristic, complemented
189#89419C2211yescharacteristic, complemented
190#34264—71nomaximal, Sylow
191C24×D7C2311yescharacteristic
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⋊D7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C22×C22⋊D7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C2×D4×D7—24no—
214C2×D4×D7—24no—
215C2×D4×D7—24no—
216C2×D4×D7—24no—
217C2×D4×D7C2×C418yescomplemented
218C2×D4×D7C2×C418yescomplemented
219C22×D28C2311yescharacteristic
220C22×D28C2311yescharacteristic
221C22×D28C2311yescharacteristic
222C22×C4×D7—24no—
223C22×C4×D7—24no—
224C22×C4×D7—42no—
225C22×C4×D7—42no—
226C22×C4×D7—42no—
227C22×C4×D7—42no—
228C22×C4×D7C2311yescharacteristic
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×#121C2×C418yescomplemented
243C4×C7×D4—24no—
244C4×C7×D4—24no—
245C4×C7×D4—42no—
246C2×C7×C4⋊C4—42no—
247C2×C7×C4⋊C4C2311yescharacteristic
248C2×C7×C4⋊C4C2311yescharacteristic
249C2×C7×C4⋊C4C2311yescharacteristic
250C2×C7×C4⋊C4C2311yescharacteristic
251C2×C7×C4⋊C4C2311yescharacteristic
252C2×C7×C4⋊C4C2311yescharacteristic
253C2×C7×C4⋊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
267C2×C42×C7C2311yescharacteristic
268C2×C22⋊Dic7C2311yescharacteristic
269C2×C22⋊Dic7C2311yescharacteristic
270C2×C22⋊Dic7C2311yescharacteristic
271C2×C22⋊Dic7C2311yescharacteristic
272C2×C22⋊Dic7C2311yescharacteristic
273C2×C22⋊Dic7C2311yescharacteristic
274C2×C22⋊Dic7C2311yescharacteristic
275C2×C22⋊Dic7C2311yescharacteristic
276C2×C22⋊Dic7C2311yescharacteristic
277C2×C22⋊Dic7C2311yescharacteristic
278#6502C2×C418yescomplemented
279#6502C2×C418yescomplemented
280#6500C2×C418yescomplemented
281#6500C2×C418yescomplemented
282D4×Dic7—24no—
283D4×Dic7—24no—
284#6493C2×C418yescomplemented
285C4×C22⋊D7—24no—
286C4×C22⋊D7—24no—
287C4×C22⋊D7—24no—
288C4×C22⋊D7—24no—
289C4×C22⋊D7—42no—
290C2×(C2×D7)⋊C4—24no—
291C2×(C2×D7)⋊C4—24no—
292C2×(C2×D7)⋊C4C2×C418yescomplemented
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×(C2×D7)⋊C4C2311yescharacteristic
295C2×(C2×D7)⋊C4C2311yescharacteristic
296C2×(C2×D7)⋊C4C2311yescharacteristic
297C2×(C2×D7)⋊C4C2311yescharacteristic
298C2×(C2×D7)⋊C4C2311yescharacteristic
299C2×(C2×D7)⋊C4C2311yescharacteristic
300C2×(C2×D7)⋊C4C2311yescharacteristic
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×(C2×D7)⋊C4C2311yescharacteristic
320C2×(C2×D7)⋊C4C2311yescharacteristic
321C2×C4⋊Dic7C2311yescharacteristic
322C2×C4⋊Dic7C2311yescharacteristic
323C2×C4⋊Dic7C2311yescharacteristic
324C2×Dic7⋊C4—42no—
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×C4×Dic7C2311yescharacteristic
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
347#6457C2×C418yescomplemented
348#6457C2×C418yescomplemented
349#6456—24no—
350#6456—24no—
351#6456—42no—
352#6455—24no—
353D7×C4⋊C4—24no—
354#6446C2×C418yescomplemented
355#6446C2×C418yescomplemented
356#6445C2×C418yescomplemented
357#6445C2×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—42no—
363D7×C22⋊C4—24no—
364D7×C22⋊C4—24no—
365D7×C22⋊C4—24no—
366D7×C22⋊C4—42no—
367D7×C22⋊C4—42no—
368D7×C22⋊C4D418yescomplemented
369C4×D28—24no—
370C4×D28—24no—
371#6435—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#2361D711yescharacteristic, complemented
416#2359—71no—
417#2359—71no—
418#2359—71no—
419#2359—71no—
420#2358—71no—
421#2358—71no—
422#2358—71no—
423#2358—71no—
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×C7C2411yescharacteristic
437C24×C7C2411yescharacteristic
438C24×C7C2411yescharacteristic
439C23×D7—22no—
440C23×D7—22no—
441C23×D7—22no—
442C23×D7—22no—
443C23×D7—41no—
444C23×D7—41no—
445C23×D7—41no—
446C23×D7—41no—
447C23×D7—41no—
448C23×D7—41no—
449C23×D7—41no—
450C23×D7—41no—
451C23×D7—41no—
452C23×D7—41no—
453C23×D7—41no—
454C23×D7—41no—
455C23×D7C22×C414yes—
456C23×D7C22×C414yes—
457C23×D7C22×C414yescomplemented
458C23×D7C2×D414yes—
459C23×D7#4114yes—
460C23×D7C2411yescharacteristic
461C23×D7C2411yescharacteristic
462C23×D7C2411yescharacteristic
463C23×D7C2411yescharacteristic
464C2×C7×D4—22no—
465C2×C7×D4—22no—
466C2×C7×D4—22no—
467C2×C7×D4—22no—
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—41no—
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×C7C22×C414yescomplemented
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
499C22×C4×C7C2411yescharacteristic
500C2×C22⋊D7—22no—
501C2×C22⋊D7—22no—
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—41no—
509C2×C22⋊D7—41no—
510C2×C22⋊D7—41no—
511C2×C22⋊D7—41no—
512C2×C22⋊D7C22×C414yes—
513C2×C22⋊D7C22×C414yes—
514C2×C22⋊D7C22×C414yes—
515C2×C22⋊D7C22×C414yescomplemented
516C2×C22⋊D7C22×C414yescomplemented
517C2×C22⋊D7C22×C414yescomplemented
518C22×Dic7—22no—
519C22×Dic7—22no—
520C22×Dic7—22no—
521C22×Dic7—22no—
522C22×Dic7—22no—
523C22×Dic7—22no—
524C22×Dic7—41no—
525C22×Dic7—41no—
526C22×Dic7—41no—
527C22×Dic7—41no—
528C22×Dic7—41no—
529C22×Dic7—41no—
530C22×Dic7—41no—
531C22×Dic7—41no—
532C22×Dic7C22×C414yescomplemented
533C22×Dic7C2411yescharacteristic
534C22×Dic7C2411yescharacteristic
535C22×Dic7C2411yescharacteristic
536C22×Dic7C2411yescharacteristic
537C22×Dic7C2411yescharacteristic
538C22×Dic7C2411yescharacteristic
539C22×Dic7C2411yescharacteristic
540C22×Dic7C2411yescharacteristic
541C22×Dic7C2411yescharacteristic
542C22×Dic7C2411yescharacteristic
543C22×Dic7C2411yescharacteristic
544C22×Dic7C2411yescharacteristic
545D4×D7—232no—
546D4×D7—232no—
547C2×D28—22no—
548C2×D28—22no—
549C2×D28—22no—
550C2×D28—22no—
551C2×D28—41no—
552C2×D28—41no—
553C2×D28C22×C414yes—
554C2×D28C22×C414yes—
555C2×D28C22×C414yescomplemented
556C2×C4×D7—22no—
557C2×C4×D7—22no—
558C2×C4×D7—22no—
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—22no—
576C2×C4×D7—416no—
577C2×C4×D7—416no—
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×D7—41no—
596C2×C4×D7C22×C414yes—
597C2×C4×D7C22×C414yescomplemented
598C2×C4×D7C2×D414yes—
599C2×C4×D7C2×D414yes—
600C7×C4⋊C4—22no—
601C7×C4⋊C4—22no—
602C7×C4⋊C4—22no—
603C7×C4⋊C4—22no—
604C7×C4⋊C4—41no—
605C7×C4⋊C4—41no—
606C7×C4⋊C4C22×C414yescomplemented
607C7×C22⋊C4—22no—
608C7×C22⋊C4—22no—
609C7×C22⋊C4—22no—
610C7×C22⋊C4—22no—
611C7×C22⋊C4—41no—
612C7×C22⋊C4—41no—
613C7×C22⋊C4—41no—
614C7×C22⋊C4C22×C414yescomplemented
615C7×C22⋊C4C22×C414yescomplemented
616C7×C22⋊C4C2×D414yes—
617C42×C7—22no—
618C42×C7—22no—
619C42×C7—41no—
620C42×C7—41no—
621C22⋊Dic7—22no—
622C22⋊Dic7—22no—
623C22⋊Dic7—22no—
624C22⋊Dic7—22no—
625C22⋊Dic7—41no—
626C22⋊Dic7—41no—
627C22⋊Dic7—41no—
628C22⋊Dic7C22×C414yescomplemented
629C22⋊Dic7C22×C414yescomplemented
630C22⋊Dic7C2×D414yes—
631(C2×D7)⋊C4—22no—
632(C2×D7)⋊C4—22no—
633(C2×D7)⋊C4—22no—
634(C2×D7)⋊C4—22no—
635(C2×D7)⋊C4—22no—
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—41no—
644(C2×D7)⋊C4—41no—
645(C2×D7)⋊C4—41no—
646(C2×D7)⋊C4—41no—
647(C2×D7)⋊C4—41no—
648(C2×D7)⋊C4—41no—
649(C2×D7)⋊C4C22×C414yes—
650(C2×D7)⋊C4C22×C414yes—
651(C2×D7)⋊C4C22×C414yescomplemented
652(C2×D7)⋊C4C22×C414yescomplemented
653(C2×D7)⋊C4C22×C414yescomplemented
654(C2×D7)⋊C4C22×C414yescomplemented
655(C2×D7)⋊C4C22×C414yescomplemented
656(C2×D7)⋊C4C22×C414yescomplemented
657(C2×D7)⋊C4C2×D414yes—
658(C2×D7)⋊C4C2×D414yes—
659C4⋊Dic7—22no—
660C4⋊Dic7—22no—
661C4⋊Dic7C22×C414yescomplemented
662Dic7⋊C4—22no—
663Dic7⋊C4—22no—
664Dic7⋊C4—22no—
665Dic7⋊C4—22no—
666Dic7⋊C4—22no—
667Dic7⋊C4—22no—
668Dic7⋊C4—41no—
669Dic7⋊C4—41no—
670Dic7⋊C4C22×C414yescomplemented
671Dic7⋊C4C22×C414yescomplemented
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×#121C2×D711yescharacteristic
697C2×#120—71no—
698C2×#120—71no—
699C2×#120—71no—
700C2×#120—71no—
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—148no—
720C2×C4×D4C2×D711yescharacteristic, complemented
721C2×C4×D4C2×D711yescharacteristic, complemented
722C2×C4×D4C2×D711yescharacteristic, complemented
723C2×#117—71no—
724C2×#117—71no—
725C22×C4⋊C4—71no—
726C22×C4⋊C4—71no—
727C22×C4⋊C4C2×D711yescharacteristic, complemented
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⋊C4—71no—
736C22×C22⋊C4—71no—
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#389C2×D711yescharacteristic, complemented
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#386—71no—
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⋊C4C2×D711yescharacteristic, complemented
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⋊C4—71no—
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×C7C23×C412yes—
859C23×C7C23×C412yes—
860C23×C7C23×C412yes—
861C23×C7C22×D412yes—
862C23×C7C2×#4112yes—
863C23×C7C2511yescharacteristic
864C22×D7—21no—
865C22×D7—21no—
866C22×D7—21no—
867C22×D7—21no—
868C22×D7—21no—
869C22×D7—21no—
870C22×D7—21no—
871C22×D7—21no—
872C22×D7—21no—
873C22×D7—21no—
874C22×D7—21no—
875C22×D7—21no—
876C22×D7—21no—
877C22×D7—21no—
878C22×D7—21no—
879C22×D7—21no—
880C22×D7—21no—
881C22×D7—21no—
882C22×D7—21no—
883C22×D7—21no—
884C22×D7—28no—
885C22×D7—28no—
886C22×D7—44no—
887C22×D7—44no—
888C22×D7—44no—
889C22×D7—44no—
890C22×D7—44no—
891C22×D7—44no—
892C22×D7—44no—
893C22×D7—44no—
894C22×D7—44no—
895C22×D7—44no—
896C22×D7—44no—
897C22×D7—44no—
898C22×D7—44no—
899C22×D7—44no—
900C22×D7—82no—
901C22×D7—82no—
902C22×D7—82no—
903C22×D7—82no—
904C22×D7C4×D4116yescomplemented
905C22×D7C23×C412yes—
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—28no—
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—21no—
944C2×C4×C7—21no—
945C2×C4×C7—44no—
946C2×C4×C7—44no—
947C2×C4×C7—44no—
948C2×C4×C7—82no—
949C2×C4×C7—82no—
950C2×C4×C7C23×C412yes—
951C2×C4×C7C23×C412yes—
952C2×C4×C7C23×C412yes—
953C2×C4×C7C23×C412yes—
954C2×C4×C7C22×D412yes—
955C2×C4×C7C22×D412yes—
956C2×C4×C7H(5,𝔽2)12yes—
957C22⋊D7—28no—
958C22⋊D7—28no—
959C22⋊D7—28no—
960C22⋊D7—28no—
961C22⋊D7—44no—
962C22⋊D7—44no—
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—44no—
993C2×Dic7—44no—
994C2×Dic7—44no—
995C2×Dic7—82no—
996C2×Dic7—82no—
997C2×Dic7C23×C412yes—
998C2×Dic7C23×C412yes—
999C2×Dic7C23×C412yes—
1000C2×Dic7C23×C412yes—
1001C2×Dic7C22×D412yes—
1002C2×Dic7C22×D412yes—
1003C2×Dic7H(5,𝔽2)12yes—
1004D28—28no—
1005D28—28no—
1006D28—44no—
1007C4×D7—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—82no—
1018C4×D7—82no—
1019C4×D7—82no—
1020C4×D7—82no—
1021C25—71no—
1022C25—71no—
1023C25—71no—
1024C22×D4—71no—
1025C22×D4—71no—
1026C22×D4—71no—
1027C22×D4—71no—
1028C22×D4—71no—
1029C22×D4—71no—
1030C22×D4—78no—
1031C22×D4—78no—
1032C22×D4—71no—
1033C22×D4—71no—
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#121C4×D718yescomplemented
1080#120—78no—
1081#120—78no—
1082#120—78no—
1083#120—78no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—42no—
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—42no—
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—144no—
1121C2×C4⋊C4—282no—
1122C2×C4⋊C4C22×D711yescharacteristic
1123C2×C4⋊C4C22×D711yescharacteristic
1124C2×C4⋊C4C22×D711yescharacteristic
1125C2×C4⋊C4C22×D711yescharacteristic
1126C2×C4⋊C4C22×D711yescharacteristic
1127C2×C4⋊C4C22×D711yescharacteristic
1128C2×C4⋊C4C22×D711yescharacteristic
1129C2×C22⋊C4—71no—
1130C2×C22⋊C4—71no—
1131C2×C22⋊C4—71no—
1132C2×C22⋊C4—78no—
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—71no—
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—71no—
1168C2×C22⋊C4—71no—
1169C2×C22⋊C4—144no—
1170C2×C22⋊C4—144no—
1171C2×C22⋊C4—144no—
1172C2×C22⋊C4—144no—
1173C2×C22⋊C4—144no—
1174C2×C22⋊C4—282no—
1175C2×C22⋊C4—282no—
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—144no—
1199C2×C42C22×D711yescharacteristic
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—41no—
1248C22×C7—41no—
1249C22×C7—41no—
1250C22×C7—41no—
1251C22×C7—41no—
1252C22×C7—41no—
1253C22×C7—41no—
1254C22×C7—41no—
1255C22×C7C2×C4×D414yes—
1256C22×C7C24×C411yescharacteristic
1257C22×C7C23×D411yescharacteristic
1258C22×C7C22×#4111yescharacteristic
1259C22×C7C2×H(5,𝔽2)11yescharacteristic
1260C22×C7C2×H(5,𝔽2)11yescharacteristic
1261C22×C7#58511yescharacteristic
1262C22×C7#58511yescharacteristic
1263C2×D7—22no—
1264C2×D7—22no—
1265C2×D7—22no—
1266C2×D7—22no—
1267C2×D7—22no—
1268C2×D7—22no—
1269C2×D7—22no—
1270C2×D7—22no—
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—416no—
1282C2×D7—416no—
1283C2×D7—41no—
1284C2×D7—41no—
1285C2×D7—41no—
1286C2×D7—41no—
1287C2×D7—41no—
1288C2×D7—41no—
1289C2×D7—41no—
1290C2×D7—41no—
1291C2×D7—88no—
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—22no—
1301C4×C7—41no—
1302C4×C7—41no—
1303C4×C7—41no—
1304C4×C7—41no—
1305C4×C7—41no—
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—71no—
1319C24—71no—
1320C24—74no—
1321C24—74no—
1322C24—74no—
1323C24—71no—
1324C24—71no—
1325C24—74no—
1326C24—74no—
1327C24—142no—
1328C24—142no—
1329C24—142no—
1330C24—142no—
1331C24—281no—
1332C24—281no—
1333C24—281no—
1334C24—281no—
1335C24—281no—
1336C24—281no—
1337C24—281no—
1338C24—281no—
1339C24—281no—
1340C24—281no—
1341C24—281no—
1342C24—281no—
1343C24C23×D711yescharacteristic
1344C24C23×D711yescharacteristic
1345C24C23×D711yescharacteristic
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
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—142no—
1364C2×D4—142no—
1365C2×D4—1432no—
1366C2×D4—1432no—
1367C2×D4—142no—
1368C2×D4—142no—
1369C2×D4—142no—
1370C2×D4—142no—
1371C2×D4—142no—
1372C2×D4—142no—
1373C2×D4—142no—
1374C2×D4—142no—
1375C2×D4—281no—
1376C2×D4—281no—
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—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—71no—
1399C22×C4—71no—
1400C22×C4—71no—
1401C22×C4—71no—
1402C22×C4—71no—
1403C22×C4—71no—
1404C22×C4—71no—
1405C22×C4—74no—
1406C22×C4—74no—
1407C22×C4—74no—
1408C22×C4—74no—
1409C22×C4—74no—
1410C22×C4—71no—
1411C22×C4—71no—
1412C22×C4—71no—
1413C22×C4—71no—
1414C22×C4—71no—
1415C22×C4—142no—
1416C22×C4—142no—
1417C22×C4—142no—
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—281no—
1442C22×C4—281no—
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—2816no—
1460C22×C4—2816no—
1461C22×C4—281no—
1462C22×C4—281no—
1463C22×C4—281no—
1464C22×C4—281no—
1465C22×C4—281no—
1466C22×C4—281no—
1467C22×C4—281no—
1468C22×C4—281no—
1469C22×C4C2×C4×D714yescomplemented
1470C22×C4C23×D711yescharacteristic
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—22no—
1485C4⋊C4—22no—
1486C4⋊C4—41no—
1487C4⋊C4—41no—
1488C4⋊C4—74no—
1489C4⋊C4—74no—
1490C4⋊C4—74no—
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⋊C4C2×C4×D714yescomplemented
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—74no—
1510C22⋊C4—74no—
1511C22⋊C4—74no—
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—142no—
1523C22⋊C4—142no—
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⋊C4—281no—
1547C22⋊C4C2×C4×D714yescomplemented
1548C22⋊C4C2×C4×D714yescomplemented
1549C22⋊C4D4×D714yes—
1550C42—22no—
1551C42—22no—
1552C42—41no—
1553C42—41no—
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×C7C22×C4×D411yescharacteristic
1570C2×C7C4×H(5,𝔽2)11yescharacteristic
1571C2×C7C4×H(5,𝔽2)11yescharacteristic
1572C2×C7#348411yescharacteristic
1573C2×C7#348511yescharacteristic
1574C2×C7#350511yescharacteristic
1575C2×C7#350511yescharacteristic
1576D7—24no—
1577D7—24no—
1578D7—42no—
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—72no—
1597C23—72no—
1598C23—72no—
1599C23—72no—
1600C23—72no—
1601C23—72no—
1602C23—716no—
1603C23—72no—
1604C23—72no—
1605C23—148no—
1606C23—148no—
1607C23—141no—
1608C23—141no—
1609C23—141no—
1610C23—141no—
1611C23—141no—
1612C23—141no—
1613C23—141no—
1614C23—141no—
1615C23—141no—
1616C23—141no—
1617C23—141no—
1618C23—141no—
1619C23—141no—
1620C23—141no—
1621C23—141no—
1622C23—141no—
1623C23—141no—
1624C23—141no—
1625C23—141no—
1626C23—141no—
1627C23—284no—
1628C23—284no—
1629C23—284no—
1630C23—284no—
1631C23—284no—
1632C23—284no—
1633C23—284no—
1634C23—284no—
1635C23—284no—
1636C23—284no—
1637C23—284no—
1638C23—284no—
1639C23—284no—
1640C23—284no—
1641C23—562no—
1642C23—562no—
1643C23—562no—
1644C23—562no—
1645C23C22×C4×D712yes—
1646C23C22×C4×D712yes—
1647C23C22×C4×D712yes—
1648C23C2×D4×D712yes—
1649C23D7×#4112yes—
1650C23C24×D711yescharacteristic
1651D4—28no—
1652D4—28no—
1653D4—44no—
1654D4—148no—
1655D4—148no—
1656D4—148no—
1657D4—148no—
1658D4—148no—
1659D4—148no—
1660D4—284no—
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—21no—
1691C2×C4—21no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—72no—
1696C2×C4—72no—
1697C2×C4—72no—
1698C2×C4—72no—
1699C2×C4—72no—
1700C2×C4—72no—
1701C2×C4—72no—
1702C2×C4—82no—
1703C2×C4—82no—
1704C2×C4—148no—
1705C2×C4—148no—
1706C2×C4—148no—
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—284no—
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—562no—
1747C2×C4—562no—
1748C2×C4—562no—
1749C2×C4—562no—
1750C2×C4—562no—
1751C2×C4—562no—
1752C2×C4C22×C4×D712yes—
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—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—74no—
1781C22—74no—
1782C22—142no—
1783C22—142no—
1784C22—142no—
1785C22—142no—
1786C22—142no—
1787C22—142no—
1788C22—142no—
1789C22—142no—
1790C22—142no—
1791C22—142no—
1792C22—142no—
1793C22—142no—
1794C22—142no—
1795C22—142no—
1796C22—142no—
1797C22—142no—
1798C22—142no—
1799C22—142no—
1800C22—2816no—
1801C22—2816no—
1802C22—281no—
1803C22—281no—
1804C22—281no—
1805C22—281no—
1806C22—281no—
1807C22—281no—
1808C22—281no—
1809C22—281no—
1810C22—568no—
1811C22C4×D4×D714yes—
1812C22C23×C4×D711yescharacteristic
1813C22C22×D4×D711yescharacteristic
1814C22C2×#654811yescharacteristic
1815C22C2×D7×#4111yescharacteristic
1816C22#9061611yescharacteristic
1817C22D7×H(5,𝔽2)11yescharacteristic
1818C22#9062011yescharacteristic
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—22no—
1823C4—22no—
1824C4—22no—
1825C4—22no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
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—144no—
1847C2—144no—
1848C2—282no—
1849C2—282no—
1850C2C4×#654811yescharacteristic
1851C2C2×C4×D4×D711yescharacteristic
1852C2#1174295411yescharacteristic
1853C2#1174368811yescharacteristic
1854C2#1174376811yescharacteristic
1855C2#1174380611yescharacteristic
1856C2#1174398011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2361C2
socle, cosocleC23×C7C25
prime radicalC2×#90296C2
hypercenter#2361D7
hypocenterC7#34264
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. C2×#90236C2semidirect
3. C2×C4×D4×D7C2semidirect
4. C7×#2361C2semidirect
5. #11740083C2semidirect
6. #11739843C2semidirect
7. C4×#6500C2semidirect
8. #11739787C2semidirect
9. #11739785C2semidirect
10. C2×#89761C2semidirect
11. #11739608C2semidirect
12. #11733877C2semidirect
13. #11733874C2semidirect
14. #11733649C2semidirect
15. #11733641C2semidirect
16. #11733282C2semidirect
17. #11733281C2semidirect
18. #11733272C2semidirect
19. #11732898C2semidirect
20. #11732319C2semidirect
21. D7×#386C2semidirect
22. #11732123C2semidirect
23. #11732121C2semidirect
24. #11732042C2semidirect
25. #11732041C2semidirect
26. #11732038C2semidirect
27. #11731824C2semidirect
28. #11731217C2semidirect
29. C4×#6457C2semidirect
30. #11731005C2semidirect
31. #11730916C2semidirect
35. C23×C4×D7C22semidirect
37. C2×C4×C7×D4C22semidirect
38. C2×C4×C7×D4C22semidirect
39. C2×C4×C7×D4C22semidirect
40. C22×C7×C4⋊C4C22semidirect
45. C2×D4×Dic7C22semidirect
46. C2×D4×Dic7C22semidirect
50. C2×C4×C22⋊D7C22semidirect
51. C2×C4×C22⋊D7C22semidirect
52. C2×C4×C22⋊D7C22semidirect
55. C22×(C2×D7)⋊C4C22semidirect
56. C22×Dic7⋊C4C22semidirect
57. #90296C4semidirect
64. C2×#6456C22semidirect
65. C2×#6455C22semidirect
66. C2×D7×C4⋊C4C22semidirect
73. C2×(C22⋊D7)⋊C4C22semidirect
74. C2×(C22⋊D7)⋊C4C22semidirect
75. C2×(C22⋊D7)⋊C4C22semidirect
78. C2×D7×C22⋊C4C22semidirect
79. C2×D7×C22⋊C4C22semidirect
80. C2×D7×C22⋊C4C22semidirect
81. C2×D7×C22⋊C4C22semidirect
84. C2×#6435C22semidirect
85. C2×C42×D7C22semidirect
86. C7×#390C22semidirect
87. C7×#389C22semidirect
88. C7×#388C22semidirect
89. C7×#388C22semidirect
90. C7×#386C22semidirect
91. C7×#386C22semidirect
92. C7×#385C22semidirect
93. C7×#385C22semidirect
94. C4×C7×C4⋊C4C22semidirect
95. C4×C7×C22⋊C4C22semidirect
96. #89992C22semidirect
97. #89992C22semidirect
98. #89992C22semidirect
99. #89992C22semidirect
100. #89985C22semidirect
101. #89985C22semidirect
102. #89985C22semidirect
103. #89982C22semidirect
104. C4×C22⋊Dic7C22semidirect
105. C4×C22⋊Dic7C22semidirect
106. C2×C7⋊#95C22semidirect
107. C2×C7⋊#95C22semidirect
108. #89762C22semidirect
109. #89762C22semidirect
110. #89762C22semidirect
111. #89761C22semidirect
112. #89761C22semidirect
113. #89761C22semidirect
114. #89761C22semidirect
115. #89761C22semidirect
116. #89761C22semidirect
117. #89761C22semidirect
118. #89761C22semidirect
119. #89761C22semidirect
120. #89761C22semidirect
121. #89761C22semidirect
122. #89760C22semidirect
123. #89753C22semidirect
124. #89753C22semidirect
125. #89750C22semidirect
126. C4⋊C4×Dic7C22semidirect
127. #89745C22semidirect
128. #89744C22semidirect
129. #89730C22semidirect
130. #89730C22semidirect
131. #89730C22semidirect
132. #89729C22semidirect
133. #89729C22semidirect
138. #89728C22semidirect
139. #89728C22semidirect
140. #89727C22semidirect
141. #89727C22semidirect
142. #89723C22semidirect
143. #89723C22semidirect
144. #89718C22semidirect
145. #89717C22semidirect
146. #89717C22semidirect
147. #89716C22semidirect
148. #89716C22semidirect
149. C22⋊C4×Dic7C22semidirect
150. C22⋊C4×Dic7C22semidirect
151. C22⋊C4×Dic7C22semidirect
152. C22⋊C4×Dic7C22semidirect
153. C22⋊C4×Dic7C22semidirect
154. #89712C22semidirect
155. #89712C22semidirect
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×(C2×D7)⋊C4C22semidirect
163. C4×(C2×D7)⋊C4C22semidirect
164. #89705C22semidirect
165. C4×Dic7⋊C4C22semidirect
166. #89442C22semidirect
167. #89441C22semidirect
168. #89440C22semidirect
169. #89438C22semidirect
170. #89438C22semidirect
171. #89438C22semidirect
172. #89438C22semidirect
173. #89438C22semidirect
178. #89437C22semidirect
179. #89437C22semidirect
180. #89436C22semidirect
181. #89436C22semidirect
182. D7×#95C22semidirect
183. D7×#95C22semidirect
184. #89427C22semidirect
185. #89425C22semidirect
186. #89425C22semidirect
187. #89424C22semidirect
188. #89421C22semidirect
189. #89419C22semidirect
217. C2×D4×D7C2×C4semidirect
218. C2×D4×D7C2×C4semidirect
242. C7×#121C2×C4semidirect
278. #6502C2×C4semidirect
279. #6502C2×C4semidirect
280. #6500C2×C4semidirect
281. #6500C2×C4semidirect
284. #6493C2×C4semidirect
292. C2×(C2×D7)⋊C4C2×C4semidirect
347. #6457C2×C4semidirect
348. #6457C2×C4semidirect
354. #6446C2×C4semidirect
355. #6446C2×C4semidirect
356. #6445C2×C4semidirect
357. #6445C2×C4semidirect
368. D7×C22⋊C4D4semidirect
415. #2361D7semidirect
457. C23×D7C22×C4semidirect
471. C2×C7×D4C22×C4semidirect
472. C2×C7×D4C22×C4semidirect
487. C22×C4×C7C22×C4semidirect
515. C2×C22⋊D7C22×C4semidirect
516. C2×C22⋊D7C22×C4semidirect
517. C2×C22⋊D7C22×C4semidirect
532. C22×Dic7C22×C4semidirect
555. C2×D28C22×C4semidirect
597. C2×C4×D7C22×C4semidirect
606. C7×C4⋊C4C22×C4semidirect
614. C7×C22⋊C4C22×C4semidirect
615. C7×C22⋊C4C22×C4semidirect
628. C22⋊Dic7C22×C4semidirect
629. C22⋊Dic7C22×C4semidirect
651. (C2×D7)⋊C4C22×C4semidirect
652. (C2×D7)⋊C4C22×C4semidirect
653. (C2×D7)⋊C4C22×C4semidirect
654. (C2×D7)⋊C4C22×C4semidirect
655. (C2×D7)⋊C4C22×C4semidirect
656. (C2×D7)⋊C4C22×C4semidirect
661. C4⋊Dic7C22×C4semidirect
670. Dic7⋊C4C22×C4semidirect
671. Dic7⋊C4C22×C4semidirect
720. C2×C4×D4C2×D7semidirect
721. C2×C4×D4C2×D7semidirect
722. C2×C4×D4C2×D7semidirect
727. C22×C4⋊C4C2×D7semidirect
741. #390C2×D7semidirect
745. #389C2×D7semidirect
760. #388C2×D7semidirect
761. #388C2×D7semidirect
792. #386C2×D7semidirect
793. #386C2×D7semidirect
808. #385C2×D7semidirect
809. #385C2×D7semidirect
817. C4×C4⋊C4C2×D7semidirect
837. C4×C22⋊C4C2×D7semidirect
904. C22×D7C4×D4semidirect
1079. #121C4×D7semidirect
1382. C2×D4C2×C4×D7semidirect
1383. C2×D4C2×C4×D7semidirect
1469. C22×C4C2×C4×D7semidirect
1501. C4⋊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×#902962
C2×#902362
C2×C4×D4×D72
C7×#23612
#117400832
#117398432
C4×#65002
#117397872
#117397852
C2×#897612
#117396082
#117338772
#117338742
#117336492
#117336412
#117332822
#117332812
#117332722
#117328982
#117323192
D7×#3862
#117321232
#117321212
#117320422
#117320412
#117320382
#117318242
#117312172
C4×#64572
#117310052
#117309162
#342647