Finite Group Databasebeta

← #13515232

Subgroups — #13515232

Order 1792.

2546 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90251C211yesmaximal, characteristic
2C42×C7×D4C211yesmaximal, characteristic, complemented
3#11739843C211yesmaximal, characteristic, complemented
4#11739843C211yesmaximal, characteristic, complemented
5#11739787C211yesmaximal, characteristic, complemented
6#11739785C211yesmaximal, characteristic, complemented
7#11739769C211yesmaximal, characteristic, complemented
8C4×#6492C211yesmaximal, characteristic, complemented
9C4×#6493C211yesmaximal, characteristic, complemented
10#11739510C211yesmaximal, characteristic, complemented
11C2×#89712C211yesmaximal, characteristic, complemented
12#11731217C211yesmaximal, characteristic, complemented
13#11731112C211yesmaximal, characteristic, complemented
14#11731111C211yesmaximal, characteristic, complemented
15#11731110C211yesmaximal, characteristic, complemented
16#11731077C211yesmaximal, characteristic, complemented
17#11731073C211yesmaximal, characteristic, complemented
18#11731024C211yesmaximal, characteristic, complemented
19#11731022C211yesmaximal, characteristic, complemented
20#11731022C211yesmaximal, characteristic, complemented
21#11731005C211yesmaximal, characteristic, complemented
22#11730920C211yesmaximal, characteristic, complemented
23#11730919C211yesmaximal, characteristic, complemented
24#11730917C211yesmaximal, characteristic, complemented
25#11730915C211yesmaximal, characteristic, complemented
26#11730911C211yesmaximal, characteristic, complemented
27#11730896C211yesmaximal, characteristic, complemented
28#11730894C211yesmaximal, characteristic, complemented
29#11730881C211yesmaximal, characteristic, complemented
30C4×#6439C211yesmaximal, characteristic, complemented
31C4×#6438C211yesmaximal, characteristic, complemented
32C2×C4×C7×D4C2211yescharacteristic
33C2×C4×C7×D4C2211yescharacteristic
34C2×C4×C7×D4C2211yescharacteristic
35C22×C42×C7C2211yescharacteristic
36C22×C42×C7C2211yescharacteristic, complemented
37C2×#6502C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×#6493C2211yescharacteristic
40C2×#6492C2211yescharacteristic
41C2×C4×C22⋊D7C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic, complemented
45C22×(C2×D7)⋊C4C2211yescharacteristic
46C22×(C2×D7)⋊C4C2211yescharacteristic
47C22×(C2×D7)⋊C4C2211yescharacteristic
48C22×Dic7⋊C4C2211yescharacteristic
49#90251C4116yescomplemented
50C2×#6461C2211yescharacteristic
51C2×#6457C2211yescharacteristic
52C2×#6448C2211yescharacteristic
53C2×#6447C2211yescharacteristic
54C2×#6445C2211yescharacteristic
55C2×(C22⋊D7)⋊C4C2211yescharacteristic
56C2×(C22⋊D7)⋊C4C2211yescharacteristic
57C2×D7×C22⋊C4C2211yescharacteristic
58C2×D7×C22⋊C4C2211yescharacteristic
59C2×#6441C2211yescharacteristic
60C2×#6439C2211yescharacteristic
61C2×#6438C2211yescharacteristic
62C2×C4×D28C2211yescharacteristic
63C2×C4×D28C2211yescharacteristic
64C2×#6435C2211yescharacteristic, complemented
65C2×C4×Dic14C2211yescharacteristic, complemented
66C4×C7×C4⋊C4C2211yescharacteristic, complemented
67C4×C7×C4⋊C4C2211yescharacteristic, complemented
68C4×C7×C4⋊C4C2211yescharacteristic, complemented
69C4×C7×C22⋊C4C2211yescharacteristic
70C4×C7×C22⋊C4C2211yescharacteristic
71C4×C7×C22⋊C4C2211yescharacteristic
72C4×C7×C22⋊C4C2211yescharacteristic, complemented
73C4×C7×C22⋊C4C2211yescharacteristic, complemented
74C4×C7×C22⋊C4C2211yescharacteristic, complemented
75C43×C7C2211yescharacteristic, complemented
76#89992C2211yescharacteristic
77#89992C2211yescharacteristic
78#89985C2211yescharacteristic
79#89985C2211yescharacteristic
80#89985C2211yescharacteristic
81#89985C2211yescharacteristic
82#89985C2211yescharacteristic, complemented
83#89984C2211yescharacteristic, complemented
84#89983C2211yescharacteristic, complemented
85#89982C2211yescharacteristic
86#89982C2211yescharacteristic
87#89982C2211yescharacteristic, complemented
88C4×C22⋊Dic7C2211yescharacteristic
89C4×C22⋊Dic7C2211yescharacteristic, complemented
90C2×C7⋊#95C2211yescharacteristic
91C2×C7⋊#95C2211yescharacteristic
92#89762C2211yescharacteristic
93#89762C2211yescharacteristic
94#89762C2211yescharacteristic, complemented
95#89761C2211yescharacteristic
96#89761C2211yescharacteristic
97#89761C2211yescharacteristic, complemented
98#89753C2211yescharacteristic, complemented
99#89753C2211yescharacteristic, complemented
100#89750C2211yescharacteristic, complemented
101#89744C2211yescharacteristic, complemented
102#89729C2211yescharacteristic
103#89729C2211yescharacteristic
104#89729C2211yescharacteristic, complemented
105#89728C2211yescharacteristic
106#89728C2211yescharacteristic
107#89728C2211yescharacteristic, complemented
108#89723C2211yescharacteristic, complemented
109#89723C2211yescharacteristic, complemented
110#89722C2211yescharacteristic
111#89722C2211yescharacteristic
112#89717C2211yescharacteristic, complemented
113#89716C2211yescharacteristic, complemented
114C22⋊C4×Dic7C2211yescharacteristic
115C22⋊C4×Dic7C2211yescharacteristic
116C22⋊C4×Dic7C2211yescharacteristic
117C22⋊C4×Dic7C2211yescharacteristic
118#89712C2211yescharacteristic
119#89712C2211yescharacteristic
120#89712C2211yescharacteristic
121#89712C2211yescharacteristic
122#89712C2211yescharacteristic
123#89712C2211yescharacteristic
124#89712C2211yescharacteristic
125#89712C2211yescharacteristic
126#89712C2211yescharacteristic
127#89712C2211yescharacteristic
128#89712C2211yescharacteristic
129#89712C2211yescharacteristic
130#89712C2211yescharacteristic, complemented
131#89712C2211yescharacteristic, complemented
132#89712C2211yescharacteristic, complemented
133#89711C2211yescharacteristic
134#89711C2211yescharacteristic
135C4×(C2×D7)⋊C4C2211yescharacteristic
136C4×(C2×D7)⋊C4C2211yescharacteristic
137C4×(C2×D7)⋊C4C2211yescharacteristic
138C4×(C2×D7)⋊C4C2211yescharacteristic
139C4×(C2×D7)⋊C4C2211yescharacteristic
140C4×(C2×D7)⋊C4C2211yescharacteristic
141C4×(C2×D7)⋊C4C2211yescharacteristic
142C4×(C2×D7)⋊C4C2211yescharacteristic
143C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
144C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
145C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
146C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
147#89709C2211yescharacteristic, complemented
148#89708C2211yescharacteristic, complemented
149C4×C4⋊Dic7C2211yescharacteristic, complemented
150#89705C2211yescharacteristic, complemented
151#89705C2211yescharacteristic, complemented
152#89705C2211yescharacteristic, complemented
153#89705C2211yescharacteristic, complemented
154#89705C2211yescharacteristic, complemented
155#89704C2211yescharacteristic, complemented
156C4×Dic7⋊C4C2211yescharacteristic, complemented
157C4×Dic7⋊C4C2211yescharacteristic, complemented
158C4×Dic7⋊C4C2211yescharacteristic, complemented
159C4×Dic7⋊C4C2211yescharacteristic, complemented
160C4×Dic7⋊C4C2211yescharacteristic, complemented
161C4×Dic7⋊C4C2211yescharacteristic, complemented
162#89701C2211yescharacteristic, complemented
163#89700C2211yescharacteristic, complemented
164#89442C2211yescharacteristic
165#89442C2211yescharacteristic
166#89440C2211yescharacteristic
167#89440C2211yescharacteristic
168#89438C2211yescharacteristic
169#89438C2211yescharacteristic
170#89438C2211yescharacteristic
171#89438C2211yescharacteristic
172#89438C2211yescharacteristic, complemented
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic
177D7×#95C2211yescharacteristic, complemented
178#89427C2211yescharacteristic, complemented
179#89427C2211yescharacteristic, complemented
180#89426C2211yescharacteristic, complemented
181#89426C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89420C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34283—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C4×C7×D4—24no—
215C4×C7×D4—24no—
216C4×C7×D4C2×C418yescomplemented
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C22⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊C4C2311yescharacteristic
223C2×C7×C22⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C42×C7—42no—
227C2×C42×C7—42no—
228C2×C42×C7C2311yescharacteristic
229C2×C42×C7C2311yescharacteristic
230C2×C42×C7C2311yescharacteristic
231C2×C42×C7C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C42×C7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249#6502C2×C418yescomplemented
250#6500C2×C418yescomplemented
251#6493C2×C418yescomplemented
252#6492C2×C418yescomplemented
253C4×C22⋊D7—42no—
254C4×C22⋊D7—42no—
255C4×C22⋊D7—42no—
256C4×C22⋊D7C2×C418yescomplemented
257C2×(C2×D7)⋊C4—42no—
258C2×(C2×D7)⋊C4—42no—
259C2×(C2×D7)⋊C4C2×C418yescomplemented
260C2×(C2×D7)⋊C4C2311yescharacteristic
261C2×(C2×D7)⋊C4C2311yescharacteristic
262C2×(C2×D7)⋊C4C2311yescharacteristic
263C2×(C2×D7)⋊C4C2311yescharacteristic
264C2×(C2×D7)⋊C4C2311yescharacteristic
265C2×(C2×D7)⋊C4C2311yescharacteristic
266C2×(C2×D7)⋊C4C2311yescharacteristic
267C2×(C2×D7)⋊C4C2311yescharacteristic
268C2×(C2×D7)⋊C4C2311yescharacteristic
269C2×(C2×D7)⋊C4C2311yescharacteristic
270C2×(C2×D7)⋊C4C2311yescharacteristic
271C2×(C2×D7)⋊C4C2311yescharacteristic
272C2×(C2×D7)⋊C4C2311yescharacteristic
273C2×(C2×D7)⋊C4C2311yescharacteristic
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×(C2×D7)⋊C4C2311yescharacteristic
283C2×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
292C2×C4⋊Dic7C2311yescharacteristic
293C2×Dic7⋊C4—42no—
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321#6461C2×C418yescomplemented
322#6457C2×C418yescomplemented
323#6448C2×C418yescomplemented
324#6447C2×C418yescomplemented
325#6445C2×C418yescomplemented
326(C22⋊D7)⋊C4—24no—
327(C22⋊D7)⋊C4—24no—
328D7×C22⋊C4—24no—
329D7×C22⋊C4—24no—
330#6441C2×C418yescomplemented
331#6439C2×C418yescomplemented
332#6438C2×C418yescomplemented
333C4×D28—42no—
334C4×D28—42no—
335#6435—42no—
336C4×Dic14—42no—
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7×#95C2311yescharacteristic
343C7⋊#95C2311yescharacteristic
344C7⋊#95C2311yescharacteristic
345C7⋊#95C2311yescharacteristic
346C7⋊#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C2×#538—71no—
378#2374—71no—
379#2373—71no—
380#2373—71no—
381#2372—71no—
382#2368—71no—
383#2367—71no—
384#2364—71no—
385#2364—71no—
386#2363—71no—
387#2361—71no—
388#2360—71no—
389#2359—71no—
390#2358—71no—
391#2358—71no—
392#2358—71no—
393#2358—71no—
394#2337—71no—
395#2335—71no—
396#2334—71no—
397#2333—71no—
398#2318—71no—
399C4×#126—71no—
400C4×#124—71no—
401C4×#123—71no—
402C4×#121—71no—
403#2290—71no—
404C2×#388—71no—
405#2275—71no—
406#2273—71no—
407C42×D4D711yescharacteristic, complemented
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C23×D7—22no—
411C23×D7—22no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7C22×C414yes—
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C2×C7×D4—22no—
421C2×C7×D4—22no—
422C2×C7×D4C22×C414yes—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—22no—
427C22×C4×C7—22no—
428C22×C4×C7—22no—
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7—41no—
434C22×C4×C7—41no—
435C22×C4×C7—41no—
436C22×C4×C7—41no—
437C22×C4×C7—41no—
438C22×C4×C7—41no—
439C22×C4×C7C22×C414yes—
440C22×C4×C7C22×C414yes—
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C22×C4×C7C2411yescharacteristic
449C22×C4×C7C2411yescharacteristic
450C22×C4×C7C2411yescharacteristic
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C2×C22⋊D7—22no—
455C2×C22⋊D7—22no—
456C2×C22⋊D7—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7C22×C414yes—
463C2×C22⋊D7C22×C414yes—
464C2×C22⋊D7C22×C414yes—
465C2×C22⋊D7C22×C414yes—
466C22×Dic7—22no—
467C22×Dic7—22no—
468C22×Dic7—41no—
469C22×Dic7—41no—
470C22×Dic7—41no—
471C22×Dic7—41no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7C22×C414yes—
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C2×D28—41no—
489C2×D28—41no—
490C2×D28—41no—
491C2×D28—41no—
492C2×D28C22×C414yes—
493C2×D28C22×C414yes—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7C22×C414yes—
515C2×Dic14—41no—
516C2×Dic14—41no—
517C2×Dic14C22×C414yes—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—22no—
520C7×C4⋊C4C22×C414yes—
521C7×C22⋊C4—22no—
522C7×C22⋊C4—22no—
523C7×C22⋊C4C22×C414yes—
524C7×C22⋊C4C22×C414yes—
525C7×C22⋊C4#4114yes—
526C7×C22⋊C4#4114yes—
527C42×C7—22no—
528C42×C7—22no—
529C42×C7—22no—
530C42×C7—22no—
531C42×C7—22no—
532C42×C7—22no—
533C42×C7—41no—
534C42×C7—41no—
535C42×C7—41no—
536C42×C7—41no—
537C42×C7—41no—
538C42×C7—41no—
539C42×C7C22×C414yes—
540C22⋊Dic7—22no—
541C22⋊Dic7—22no—
542C22⋊Dic7—41no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7C22×C414yes—
547C22⋊Dic7C22×C414yes—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4—41no—
566(C2×D7)⋊C4C22×C414yes—
567(C2×D7)⋊C4C22×C414yes—
568(C2×D7)⋊C4C22×C414yes—
569(C2×D7)⋊C4C22×C414yes—
570(C2×D7)⋊C4C22×C414yes—
571(C2×D7)⋊C4C22×C414yes—
572(C2×D7)⋊C4C22×C414yes—
573(C2×D7)⋊C4C22×C414yes—
574(C2×D7)⋊C4C22×C414yes—
575(C2×D7)⋊C4C22×C414yes—
576C4⋊Dic7—41no—
577C4⋊Dic7—41no—
578C4⋊Dic7—41no—
579C4⋊Dic7—41no—
580C4⋊Dic7C22×C414yes—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—22no—
584Dic7⋊C4—22no—
585Dic7⋊C4—22no—
586Dic7⋊C4—22no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4C22×C414yes—
592Dic7⋊C4C22×C414yes—
593Dic7⋊C4C22×C414yes—
594Dic7⋊C4C22×C414yes—
595C4×Dic7—22no—
596C4×Dic7—22no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C4×Dic7—41no—
606C4×Dic7—41no—
607C4×Dic7C22×C414yes—
608#538—716no—
609C2×#126—71no—
610C2×#126—71no—
611C2×#124—71no—
612C2×#124—71no—
613C2×#123—71no—
614C2×#123—71no—
615C2×C22⋊Q8—71no—
616C2×#121—71no—
617C2×#121—71no—
618C2×#121—71no—
619C2×#120—71no—
620C2×#120—71no—
621C2×C4×Q8—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×C4×D4—71no—
628C2×C4×D4—71no—
629C2×C4×D4—71no—
630C2×C4×D4C2×D711yescharacteristic
631C2×C4×D4C2×D711yescharacteristic
632C2×C4×D4C2×D711yescharacteristic
633C2×#117—71no—
634C22×C4⋊C4—71no—
635C22×C22⋊C4—71no—
636C22×C22⋊C4—71no—
637C22×C22⋊C4—71no—
638C22×C22⋊C4—71no—
639C22×C22⋊C4—71no—
640C22×C42C2×D711yescharacteristic
641C22×C42C2×D711yescharacteristic, complemented
642#391—71no—
643#391—71no—
644#391—71no—
645#390—71no—
646#390—71no—
647#390—71no—
648#390—71no—
649#390—71no—
650#389—71no—
651#389—71no—
652#389—71no—
653#389—71no—
654#388—71no—
655#388—71no—
656#388—71no—
657#388—71no—
658#388—71no—
659#388—71no—
660#388—71no—
661#388—71no—
662#388—71no—
663#388—71no—
664#388—71no—
665#388—71no—
666#388—71no—
667#388—71no—
668#388—71no—
669#388—71no—
670#388—71no—
671#388—71no—
672#388—71no—
673#388—71no—
674#388—71no—
675#388—71no—
676#388—71no—
677#388—71no—
678#387—71no—
679#387—71no—
680#387—71no—
681#387—71no—
682#387—71no—
683#387—71no—
684#387—71no—
685#387—71no—
686#387—71no—
687#387—71no—
688#387—71no—
689#387—71no—
690#386—71no—
691#386—71no—
692#386—71no—
693#386—71no—
694#386—71no—
695#386—71no—
696#386—71no—
697#386—71no—
698#386—71no—
699#386—71no—
700#386—71no—
701#386—71no—
702#386—71no—
703#386—71no—
704#385—71no—
705#385—71no—
706#385—71no—
707#385—71no—
708#385—71no—
709#385—71no—
710#385—71no—
711#385—71no—
712#385—71no—
713#385—71no—
714#383—71no—
715#382—71no—
716#381—71no—
717#380—71no—
718C4×C4⋊C4—71no—
719C4×C4⋊C4—71no—
720C4×C4⋊C4—71no—
721C4×C4⋊C4—71no—
722C4×C4⋊C4—71no—
723C4×C4⋊C4—71no—
724C4×C4⋊C4—71no—
725C4×C4⋊C4—71no—
726C4×C4⋊C4C2×D711yescharacteristic, complemented
727C4×C4⋊C4C2×D711yescharacteristic, complemented
728C4×C4⋊C4C2×D711yescharacteristic, complemented
729C4×C22⋊C4—71no—
730C4×C22⋊C4—71no—
731C4×C22⋊C4—71no—
732C4×C22⋊C4—71no—
733C4×C22⋊C4—71no—
734C4×C22⋊C4—71no—
735C4×C22⋊C4—71no—
736C4×C22⋊C4—71no—
737C4×C22⋊C4—71no—
738C4×C22⋊C4—71no—
739C4×C22⋊C4—71no—
740C4×C22⋊C4—71no—
741C4×C22⋊C4—71no—
742C4×C22⋊C4—71no—
743C4×C22⋊C4—71no—
744C4×C22⋊C4—71no—
745C4×C22⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4C2×D711yescharacteristic
753C4×C22⋊C4C2×D711yescharacteristic
754C4×C22⋊C4C2×D711yescharacteristic
755C4×C22⋊C4C2×D711yescharacteristic, complemented
756C4×C22⋊C4C2×D711yescharacteristic, complemented
757C4×C22⋊C4C2×D711yescharacteristic, complemented
758#376—71no—
759#376—71no—
760C2×#95—71no—
761C2×#95—71no—
762C2×#95—71no—
763C43C2×D711yescharacteristic, complemented
764C23×C7—21no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7C23×C412yes—
775C23×C7C23×C412yes—
776C23×C7C2×#4112yes—
777C23×C7C2×#4112yes—
778C23×C7C2511yescharacteristic
779C22×D7—21no—
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—28no—
798C22×D7—44no—
799C22×D7—44no—
800C22×D7—82no—
801C22×D7—82no—
802C22×D7—82no—
803C22×D7—82no—
804C22×D7C23×C412yes—
805C22×D7C23×C412yes—
806C22×D7C23×C412yes—
807C7×D4—28no—
808C2×C4×C7—21no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—44no—
837C2×C4×C7—44no—
838C2×C4×C7—44no—
839C2×C4×C7—44no—
840C2×C4×C7—44no—
841C2×C4×C7—44no—
842C2×C4×C7C23×C412yes—
843C2×C4×C7C23×C412yes—
844C2×C4×C7C23×C412yes—
845C2×C4×C7C23×C412yes—
846C2×C4×C7C23×C412yes—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7C2×#4112yes—
849C2×C4×C7C2×#4112yes—
850C2×C4×C7C2×#4112yes—
851C2×C4×C7H(5,𝔽2)12yes—
852C2×C4×C7H(5,𝔽2)12yes—
853C22⋊D7—28no—
854C22⋊D7—44no—
855C22⋊D7—44no—
856C22⋊D7—44no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—44no—
892C2×Dic7—82no—
893C2×Dic7—82no—
894C2×Dic7C23×C412yes—
895C2×Dic7C23×C412yes—
896C2×Dic7C23×C412yes—
897C2×Dic7C23×C412yes—
898C2×Dic7C23×C412yes—
899D28—44no—
900D28—44no—
901C4×D7—44no—
902C4×D7—82no—
903C4×D7—82no—
904C4×D7—82no—
905C4×D7—82no—
906C4×D7—82no—
907C4×D7—82no—
908Dic14—44no—
909C25—71no—
910C22×Q8—71no—
911C22×D4—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4C22×D711yescharacteristic
918C23×C4—71no—
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4C22×D711yescharacteristic
929C23×C4C22×D711yescharacteristic
930C23×C4C22×D711yescharacteristic
931C23×C4C22×D711yescharacteristic
932C23×C4C22×D711yescharacteristic
933C23×C4C22×D711yescharacteristic
934#126—78no—
935#126—78no—
936#124—78no—
937#124—78no—
938#123—78no—
939#123—78no—
940C22⋊Q8—78no—
941#121—78no—
942#121—78no—
943#121—78no—
944#120—78no—
945#120—78no—
946C4×Q8—282no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—78no—
950C4×D4—144no—
951C4×D4—144no—
952C4×D4—282no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4C4×D718yescomplemented
958#117—282no—
959C2×C4⋊C4—71no—
960C2×C4⋊C4—71no—
961C2×C4⋊C4—71no—
962C2×C4⋊C4—71no—
963C2×C4⋊C4—71no—
964C2×C4⋊C4—71no—
965C2×C4⋊C4—71no—
966C2×C4⋊C4—71no—
967C2×C4⋊C4—71no—
968C2×C4⋊C4—71no—
969C2×C4⋊C4—71no—
970C2×C4⋊C4—71no—
971C2×C4⋊C4—71no—
972C2×C4⋊C4—71no—
973C2×C4⋊C4—71no—
974C2×C4⋊C4—71no—
975C2×C4⋊C4—71no—
976C2×C4⋊C4—71no—
977C2×C4⋊C4—71no—
978C2×C4⋊C4—282no—
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C22⋊C4—71no—
983C2×C22⋊C4—71no—
984C2×C22⋊C4—78no—
985C2×C22⋊C4—71no—
986C2×C22⋊C4—71no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—144no—
1020C2×C22⋊C4—144no—
1021C2×C22⋊C4—282no—
1022C2×C22⋊C4—282no—
1023C2×C22⋊C4C22×D711yescharacteristic
1024C2×C22⋊C4C22×D711yescharacteristic
1025C2×C22⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4C22×D711yescharacteristic
1027C2×C22⋊C4C22×D711yescharacteristic
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C42—42no—
1030C2×C42—42no—
1031C2×C42—71no—
1032C2×C42—71no—
1033C2×C42—71no—
1034C2×C42—71no—
1035C2×C42—71no—
1036C2×C42—71no—
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42C22×D711yescharacteristic
1045C2×C42C22×D711yescharacteristic
1046C2×C42C22×D711yescharacteristic
1047C2×C42C22×D711yescharacteristic
1048C2×C42C22×D711yescharacteristic
1049C2×C42C22×D711yescharacteristic
1050C2×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
1052C2×C42C22×D711yescharacteristic
1053C2×C42C22×D711yescharacteristic
1054C2×C42C22×D711yescharacteristic
1055C2×C42C22×D711yescharacteristic
1056C2×C42C22×D711yescharacteristic
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95—71no—
1089#95—71no—
1090#95—71no—
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097C22×C7—22no—
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—22no—
1105C22×C7—22no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7C4×#4114yes—
1111C22×C7C24×C411yescharacteristic
1112C22×C7C22×#4111yescharacteristic
1113C22×C7C22×#4111yescharacteristic
1114C22×C7C2×H(5,𝔽2)11yescharacteristic
1115C22×C7C2×H(5,𝔽2)11yescharacteristic
1116C22×C7#58511yescharacteristic
1117C22×C7#58511yescharacteristic
1118C2×D7—22no—
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—22no—
1124C2×D7—22no—
1125C2×D7—22no—
1126C2×D7—22no—
1127C2×D7—41no—
1128C2×D7—41no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—88no—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—22no—
1147C4×C7—22no—
1148C4×C7—22no—
1149C4×C7—22no—
1150C4×C7—22no—
1151C4×C7—41no—
1152C4×C7—41no—
1153Dic7—22no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166C24—71no—
1167C24—71no—
1168C24—71no—
1169C24—74no—
1170C24—142no—
1171C24—142no—
1172C24—281no—
1173C24—281no—
1174C24—281no—
1175C24—281no—
1176C24C23×D711yescharacteristic
1177C24C23×D711yescharacteristic
1178C2×Q8—74no—
1179C2×Q8—281no—
1180C2×Q8—281no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—74no—
1184C2×D4—74no—
1185C2×D4—74no—
1186C2×D4—74no—
1187C2×D4—74no—
1188C2×D4—74no—
1189C2×D4—142no—
1190C2×D4—142no—
1191C2×D4—281no—
1192C2×D4—281no—
1193C2×D4—281no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4—281no—
1200C2×D4—281no—
1201C2×D4C2×C4×D714yes—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—74no—
1224C22×C4—74no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—71no—
1232C22×C4—71no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—281no—
1242C22×C4—281no—
1243C22×C4—281no—
1244C22×C4—281no—
1245C22×C4—281no—
1246C22×C4—281no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4C2×C4×D714yes—
1262C22×C4C2×C4×D714yes—
1263C22×C4C23×D711yescharacteristic
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—74no—
1279C4⋊C4—74no—
1280C4⋊C4—74no—
1281C4⋊C4—74no—
1282C4⋊C4—74no—
1283C4⋊C4—142no—
1284C4⋊C4—142no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—281no—
1290C4⋊C4—281no—
1291C4⋊C4—281no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4C2×C4×D714yes—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—74no—
1301C22⋊C4—74no—
1302C22⋊C4—74no—
1303C22⋊C4—74no—
1304C22⋊C4—74no—
1305C22⋊C4—74no—
1306C22⋊C4—74no—
1307C22⋊C4—74no—
1308C22⋊C4—74no—
1309C22⋊C4—74no—
1310C22⋊C4—74no—
1311C22⋊C4—74no—
1312C22⋊C4—142no—
1313C22⋊C4—142no—
1314C22⋊C4—142no—
1315C22⋊C4—142no—
1316C22⋊C4—142no—
1317C22⋊C4—142no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—281no—
1327C22⋊C4—281no—
1328C22⋊C4—281no—
1329C22⋊C4—281no—
1330C22⋊C4—281no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4C2×C4×D714yes—
1337C22⋊C4C2×C4×D714yes—
1338C22⋊C4#115714yes—
1339C22⋊C4#115714yes—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—74no—
1353C42—142no—
1354C42—142no—
1355C42—281no—
1356C42—281no—
1357C42—281no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42C2×C4×D714yes—
1366C2×C7—24no—
1367C2×C7—42no—
1368C2×C7C2×C4×#4111yescharacteristic
1369C2×C7C4×H(5,𝔽2)11yescharacteristic
1370C2×C7C4×H(5,𝔽2)11yescharacteristic
1371C2×C7#351311yescharacteristic
1372C2×C7#351411yescharacteristic
1373C2×C7#351911yescharacteristic
1374C2×C7#352111yescharacteristic
1375D7—42no—
1376D7—42no—
1377D7—42no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—72no—
1389C23—72no—
1390C23—72no—
1391C23—141no—
1392C23—141no—
1393C23—141no—
1394C23—141no—
1395C23—141no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—148no—
1410C23—284no—
1411C23—284no—
1412C23—562no—
1413C23—562no—
1414C23—562no—
1415C23—562no—
1416C23C22×C4×D712yes—
1417C23C22×C4×D712yes—
1418C23C2×#115712yes—
1419C23C2×#115712yes—
1420C23C24×D711yescharacteristic
1421Q8—284no—
1422D4—28no—
1423D4—148no—
1424D4—284no—
1425D4—284no—
1426D4—284no—
1427D4—284no—
1428D4—284no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—44no—
1458C2×C4—44no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—72no—
1464C2×C4—72no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—72no—
1468C2×C4—141no—
1469C2×C4—141no—
1470C2×C4—141no—
1471C2×C4—141no—
1472C2×C4—141no—
1473C2×C4—141no—
1474C2×C4—141no—
1475C2×C4—141no—
1476C2×C4—141no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—284no—
1503C2×C4—284no—
1504C2×C4—562no—
1505C2×C4—562no—
1506C2×C4—562no—
1507C2×C4—562no—
1508C2×C4—562no—
1509C2×C4—562no—
1510C2×C4—562no—
1511C2×C4—562no—
1512C2×C4C22×C4×D712yes—
1513C2×C4C22×C4×D712yes—
1514C2×C4C22×C4×D712yes—
1515C2×C4C22×C4×D712yes—
1516C2×C4C22×C4×D712yes—
1517C2×C4C2×#115712yes—
1518C2×C4C2×#115712yes—
1519C2×C4C2×#115712yes—
1520C2×C4C2×#115712yes—
1521C2×C4#654812yes—
1522C2×C4#655312yes—
1523C7#3428311yescharacteristic, complemented, Sylow
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—142no—
1538C22—142no—
1539C22—142no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—281no—
1547C22—281no—
1548C22—281no—
1549C22—281no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—568no—
1559C22C4×#115714yes—
1560C22C23×C4×D711yescharacteristic
1561C22C22×#115711yescharacteristic
1562C22C22×#115711yescharacteristic
1563C22C2×#654811yescharacteristic
1564C22C2×#655311yescharacteristic
1565C22#9061611yescharacteristic
1566C22#9061611yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—41no—
1579C4—41no—
1580C4—142no—
1581C4—142no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—281no—
1586C4—281no—
1587C4—281no—
1588C4—281no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C2—24no—
1594C2—42no—
1595C2—282no—
1596C2—282no—
1597C2—282no—
1598C2C2×C4×#115711yescharacteristic
1599C2C4×#654811yescharacteristic
1600C2#1174285711yescharacteristic
1601C2#1174285811yescharacteristic
1602C2C4×#655311yescharacteristic
1603C2#1174292011yescharacteristic
1604C2#1174292211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC42×C7×D4C2
socle, cosocleC23×C7C25
prime radicalC2×#90251C2
hypercenterC42×D4D7
hypocenterC7#34283
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
2. C42×C7×D4C2semidirect
3. #11739843C2semidirect
4. #11739843C2semidirect
5. #11739787C2semidirect
6. #11739785C2semidirect
7. #11739769C2semidirect
8. C4×#6492C2semidirect
9. C4×#6493C2semidirect
10. #11739510C2semidirect
11. C2×#89712C2semidirect
12. #11731217C2semidirect
13. #11731112C2semidirect
14. #11731111C2semidirect
15. #11731110C2semidirect
16. #11731077C2semidirect
17. #11731073C2semidirect
18. #11731024C2semidirect
19. #11731022C2semidirect
20. #11731022C2semidirect
21. #11731005C2semidirect
22. #11730920C2semidirect
23. #11730919C2semidirect
24. #11730917C2semidirect
25. #11730915C2semidirect
26. #11730911C2semidirect
27. #11730896C2semidirect
28. #11730894C2semidirect
29. #11730881C2semidirect
30. C4×#6439C2semidirect
31. C4×#6438C2semidirect
36. C22×C42×C7C22semidirect
44. C2×C4×C22⋊D7C22semidirect
49. #90251C4semidirect
64. C2×#6435C22semidirect
65. C2×C4×Dic14C22semidirect
66. C4×C7×C4⋊C4C22semidirect
67. C4×C7×C4⋊C4C22semidirect
68. C4×C7×C4⋊C4C22semidirect
72. C4×C7×C22⋊C4C22semidirect
73. C4×C7×C22⋊C4C22semidirect
74. C4×C7×C22⋊C4C22semidirect
75. C43×C7C22semidirect
82. #89985C22semidirect
83. #89984C22semidirect
84. #89983C22semidirect
87. #89982C22semidirect
89. C4×C22⋊Dic7C22semidirect
94. #89762C22semidirect
97. #89761C22semidirect
98. #89753C22semidirect
99. #89753C22semidirect
100. #89750C22semidirect
101. #89744C22semidirect
104. #89729C22semidirect
107. #89728C22semidirect
108. #89723C22semidirect
109. #89723C22semidirect
112. #89717C22semidirect
113. #89716C22semidirect
130. #89712C22semidirect
131. #89712C22semidirect
132. #89712C22semidirect
143. C4×(C2×D7)⋊C4C22semidirect
144. C4×(C2×D7)⋊C4C22semidirect
145. C4×(C2×D7)⋊C4C22semidirect
146. C4×(C2×D7)⋊C4C22semidirect
147. #89709C22semidirect
148. #89708C22semidirect
149. C4×C4⋊Dic7C22semidirect
150. #89705C22semidirect
151. #89705C22semidirect
152. #89705C22semidirect
153. #89705C22semidirect
154. #89705C22semidirect
155. #89704C22semidirect
156. C4×Dic7⋊C4C22semidirect
157. C4×Dic7⋊C4C22semidirect
158. C4×Dic7⋊C4C22semidirect
159. C4×Dic7⋊C4C22semidirect
160. C4×Dic7⋊C4C22semidirect
161. C4×Dic7⋊C4C22semidirect
162. #89701C22semidirect
163. #89700C22semidirect
172. #89438C22semidirect
177. D7×#95C22semidirect
178. #89427C22semidirect
179. #89427C22semidirect
180. #89426C22semidirect
181. #89426C22semidirect
182. #89421C22semidirect
183. #89420C22semidirect
184. #89419C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
216. C4×C7×D4C2×C4semidirect
249. #6502C2×C4semidirect
250. #6500C2×C4semidirect
251. #6493C2×C4semidirect
252. #6492C2×C4semidirect
256. C4×C22⋊D7C2×C4semidirect
259. C2×(C2×D7)⋊C4C2×C4semidirect
321. #6461C2×C4semidirect
322. #6457C2×C4semidirect
323. #6448C2×C4semidirect
324. #6447C2×C4semidirect
325. #6445C2×C4semidirect
330. #6441C2×C4semidirect
331. #6439C2×C4semidirect
332. #6438C2×C4semidirect
407. C42×D4D7semidirect
641. C22×C42C2×D7semidirect
726. C4×C4⋊C4C2×D7semidirect
727. C4×C4⋊C4C2×D7semidirect
728. C4×C4⋊C4C2×D7semidirect
755. C4×C22⋊C4C2×D7semidirect
756. C4×C22⋊C4C2×D7semidirect
757. C4×C22⋊C4C2×D7semidirect
763. C43C2×D7semidirect
957. C4×D4C4×D7semidirect
1523. C7#34283semidirect

Maximal subgroups

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

subgroupindex
C2×#902512
C42×C7×D42
#117398432
#117397872
#117397852
#117397692
C4×#64922
C4×#64932
#117395102
C2×#897122
#117312172
#117311122
#117311112
#117311102
#117310772
#117310732
#117310242
#117310222
#117310052
#117309202
#117309192
#117309172
#117309152
#117309112
#117308962
#117308942
#117308812
C4×#64392
C4×#64382
#342837