Finite Group Databasebeta

← #13517330

Subgroups — #13517330

Order 1792.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90284C211yesmaximal, characteristic
2C4×C7×#120C211yesmaximal, characteristic, complemented
3C4×#6516C211yesmaximal, characteristic, complemented
4C2×#89982C211yesmaximal, characteristic, complemented
5#11740023C211yesmaximal, characteristic, complemented
6#11739841C211yesmaximal, characteristic, complemented
7#11739789C211yesmaximal, characteristic, complemented
8#11739787C211yesmaximal, characteristic, complemented
9#11739785C211yesmaximal, characteristic, complemented
10D4×Dic7⋊C4C211yesmaximal, characteristic, complemented
11#11739771C211yesmaximal, characteristic, complemented
12#11732322C211yesmaximal, characteristic, complemented
13#11732129C211yesmaximal, characteristic, complemented
14#11732128C211yesmaximal, characteristic, complemented
15#11732121C211yesmaximal, characteristic, complemented
16#11732119C211yesmaximal, characteristic, complemented
17#11732115C211yesmaximal, characteristic, complemented
18#11732043C211yesmaximal, characteristic, complemented
19#11731848C211yesmaximal, characteristic, complemented
20#11731841C211yesmaximal, characteristic, complemented
21#11731839C211yesmaximal, characteristic, complemented
22#11731833C211yesmaximal, characteristic, complemented
23#11731831C211yesmaximal, characteristic, complemented
24#11731266C211yesmaximal, characteristic, complemented
25#11731265C211yesmaximal, characteristic, complemented
26#11731023C211yesmaximal, characteristic, complemented
27#11730921C211yesmaximal, characteristic, complemented
28#11730919C211yesmaximal, characteristic, complemented
29#11730906C211yesmaximal, characteristic, complemented
30#11730897C211yesmaximal, characteristic, complemented
31#11730895C211yesmaximal, characteristic, complemented
32C24×C4×C7C2211yescharacteristic
33C2×C7×#120C2211yescharacteristic
34C2×C4×C7×D4C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic
36C2×C4×C7×D4C2211yescharacteristic
37C2×#6516C2211yescharacteristic
38C22×C22⋊Dic7C2211yescharacteristic
39C22×C22⋊Dic7C2211yescharacteristic
40C2×#6502C2211yescharacteristic
41C2×#6502C2211yescharacteristic
42C2×#6501C2211yescharacteristic
43C2×#6499C2211yescharacteristic
44C2×#6498C2211yescharacteristic
45C2×D4×Dic7C2211yescharacteristic
46C2×D4×Dic7C2211yescharacteristic
47C2×C4×C22⋊D7C2211yescharacteristic
48C2×C4×C22⋊D7C2211yescharacteristic
49C2×C4×C22⋊D7C2211yescharacteristic
50C22×Dic7⋊C4C2211yescharacteristic
51C22×Dic7⋊C4C2211yescharacteristic
52C22×Dic7⋊C4C2211yescharacteristic, complemented
53#90284C4116yescomplemented
54C2×#6450C2211yescharacteristic, complemented
55C2×#6448C2211yescharacteristic
56C2×#6446C2211yescharacteristic
57C2×(C22⋊D7)⋊C4C2211yescharacteristic
58C2×(C22⋊D7)⋊C4C2211yescharacteristic
59C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
60C2×#6442C2211yescharacteristic
61C2×#6442C2211yescharacteristic
62C2×#6441C2211yescharacteristic
63C2×#6435C2211yescharacteristic, complemented
64C7×#386C2211yescharacteristic
65C7×#386C2211yescharacteristic
66C7×#386C2211yescharacteristic
67C7×#385C2211yescharacteristic
68C7×#385C2211yescharacteristic
69C7×#385C2211yescharacteristic
70C7×#379C2211yescharacteristic
71C4×C7×C22⋊C4C2211yescharacteristic
72C4×C7×C22⋊C4C2211yescharacteristic
73C4×C7×C22⋊C4C2211yescharacteristic
74#90019C2211yescharacteristic
75#89993C2211yescharacteristic
76#89993C2211yescharacteristic
77#89992C2211yescharacteristic
78#89992C2211yescharacteristic
79#89992C2211yescharacteristic
80#89985C2211yescharacteristic
81#89985C2211yescharacteristic
82#89985C2211yescharacteristic
83#89985C2211yescharacteristic, complemented
84#89982C2211yescharacteristic
85#89982C2211yescharacteristic
86#89982C2211yescharacteristic
87#89982C2211yescharacteristic
88#89982C2211yescharacteristic
89#89982C2211yescharacteristic
90#89982C2211yescharacteristic
91#89982C2211yescharacteristic
92#89982C2211yescharacteristic
93#89982C2211yescharacteristic
94#89982C2211yescharacteristic
95#89982C2211yescharacteristic, complemented
96C4×C22⋊Dic7C2211yescharacteristic
97C4×C22⋊Dic7C2211yescharacteristic
98C4×C22⋊Dic7C2211yescharacteristic
99C4×C22⋊Dic7C2211yescharacteristic, complemented
100C2×C7⋊#95C2211yescharacteristic
101C2×C7⋊#95C2211yescharacteristic
102#89762C2211yescharacteristic, complemented
103#89761C2211yescharacteristic, complemented
104#89759C2211yescharacteristic, complemented
105#89750C2211yescharacteristic, complemented
106#89748C2211yescharacteristic, complemented
107C4⋊C4×Dic7C2211yescharacteristic, complemented
108#89745C2211yescharacteristic, complemented
109#89745C2211yescharacteristic, complemented
110#89744C2211yescharacteristic, complemented
111#89744C2211yescharacteristic, complemented
112#89744C2211yescharacteristic, complemented
113#89730C2211yescharacteristic
114#89729C2211yescharacteristic
115#89729C2211yescharacteristic
116#89729C2211yescharacteristic, complemented
117#89728C2211yescharacteristic
118#89728C2211yescharacteristic
119#89728C2211yescharacteristic, complemented
120#89723C2211yescharacteristic
121#89723C2211yescharacteristic
122#89723C2211yescharacteristic
123#89723C2211yescharacteristic
124#89722C2211yescharacteristic
125#89718C2211yescharacteristic
126#89718C2211yescharacteristic, complemented
127#89718C2211yescharacteristic, complemented
128#89717C2211yescharacteristic
129#89717C2211yescharacteristic
130#89717C2211yescharacteristic
131#89717C2211yescharacteristic
132#89717C2211yescharacteristic
133#89717C2211yescharacteristic
134#89717C2211yescharacteristic, complemented
135#89717C2211yescharacteristic, complemented
136#89717C2211yescharacteristic, complemented
137#89716C2211yescharacteristic
138#89716C2211yescharacteristic
139#89716C2211yescharacteristic
140#89716C2211yescharacteristic
141#89716C2211yescharacteristic
142#89716C2211yescharacteristic
143#89716C2211yescharacteristic, complemented
144#89715C2211yescharacteristic, complemented
145#89714C2211yescharacteristic
146#89714C2211yescharacteristic
147#89714C2211yescharacteristic, complemented
148C22⋊C4×Dic7C2211yescharacteristic
149C22⋊C4×Dic7C2211yescharacteristic
150C22⋊C4×Dic7C2211yescharacteristic
151C22⋊C4×Dic7C2211yescharacteristic
152C22⋊C4×Dic7C2211yescharacteristic, complemented
153#89712C2211yescharacteristic, complemented
154C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic7C2211yescharacteristic, complemented
156#89705C2211yescharacteristic, complemented
157#89705C2211yescharacteristic, complemented
158#89705C2211yescharacteristic, complemented
159C4×Dic7⋊C4C2211yescharacteristic, complemented
160C4×Dic7⋊C4C2211yescharacteristic, complemented
161C4×Dic7⋊C4C2211yescharacteristic, complemented
162#89701C2211yescharacteristic, complemented
163#89700C2211yescharacteristic, complemented
164#89441C2211yescharacteristic, complemented
165#89441C2211yescharacteristic, complemented
166#89440C2211yescharacteristic, complemented
167#89440C2211yescharacteristic, complemented
168#89439C2211yescharacteristic, complemented
169D7×#95C2211yescharacteristic, complemented
170#89427C2211yescharacteristic, complemented
171#89427C2211yescharacteristic, complemented
172#89426C2211yescharacteristic, complemented
173#89426C2211yescharacteristic, complemented
174#89425C2211yescharacteristic, complemented
175#89425C2211yescharacteristic, complemented
176#89424C2211yescharacteristic, complemented
177#89424C2211yescharacteristic, complemented
178#89423C2211yescharacteristic, complemented
179#89422C2211yescharacteristic, complemented
180#89422C2211yescharacteristic, complemented
181#89421C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89420C2211yescharacteristic, complemented
184#89419C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34416—71nomaximal, Sylow
189C25×C7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7—42no—
194C23×C4×C7—42no—
195C23×C4×C7—42no—
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C23×C4×C7C2311yescharacteristic
199C23×C4×C7C2311yescharacteristic
200C23×C4×C7C2311yescharacteristic
201C23×C4×C7C2311yescharacteristic
202C23×C4×C7C2311yescharacteristic
203C22×C22⋊D7C2311yescharacteristic
204C22×C22⋊D7C2311yescharacteristic
205C22×C22⋊D7C2311yescharacteristic
206C22×C22⋊D7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C23×Dic7C2311yescharacteristic
210C23×Dic7C2311yescharacteristic
211C23×Dic7C2311yescharacteristic
212C23×Dic7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C7×#120C2×C418yescomplemented
218C4×C7×D4—42no—
219C4×C7×D4—42no—
220C4×C7×D4—42no—
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C22⋊C4C2311yescharacteristic
225C2×C7×C22⋊C4C2311yescharacteristic
226C2×C7×C22⋊C4C2311yescharacteristic
227C2×C7×C22⋊C4C2311yescharacteristic
228C2×C7×C22⋊C4C2311yescharacteristic
229C2×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C7×C22⋊C4C2311yescharacteristic
232C2×C7×C22⋊C4C2311yescharacteristic
233C2×C7×C22⋊C4C2311yescharacteristic
234C2×C7×C22⋊C4C2311yescharacteristic
235C2×C7×C22⋊C4C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239#6516C2×C418yescomplemented
240C2×C22⋊Dic7—42no—
241C2×C22⋊Dic7C2×C418yescomplemented
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257C2×C22⋊Dic7C2311yescharacteristic
258C2×C22⋊Dic7C2311yescharacteristic
259C2×C22⋊Dic7C2311yescharacteristic
260C2×C22⋊Dic7C2311yescharacteristic
261C2×C22⋊Dic7C2311yescharacteristic
262C2×C22⋊Dic7C2311yescharacteristic
263C2×C22⋊Dic7C2311yescharacteristic
264#6502C2×C418yescomplemented
265#6502C2×C418yescomplemented
266#6501C2×C418yescomplemented
267#6499C2×C418yescomplemented
268#6498C2×C418yescomplemented
269D4×Dic7—42no—
270D4×Dic7C2×C418yescomplemented
271C4×C22⋊D7—42no—
272C4×C22⋊D7—42no—
273C4×C22⋊D7—42no—
274C2×(C2×D7)⋊C4C2311yescharacteristic
275C2×(C2×D7)⋊C4C2311yescharacteristic
276C2×(C2×D7)⋊C4C2311yescharacteristic
277C2×(C2×D7)⋊C4C2311yescharacteristic
278C2×(C2×D7)⋊C4C2311yescharacteristic
279C2×(C2×D7)⋊C4C2311yescharacteristic
280C2×(C2×D7)⋊C4C2311yescharacteristic
281C2×(C2×D7)⋊C4C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×Dic7⋊C4—42no—
288C2×Dic7⋊C4—42no—
289C2×Dic7⋊C4—42no—
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326C2×C4×Dic7C2311yescharacteristic
327#6450—42no—
328#6448C2×C418yescomplemented
329#6446C2×C418yescomplemented
330(C22⋊D7)⋊C4—42no—
331(C22⋊D7)⋊C4—42no—
332(C22⋊D7)⋊C4C2×C418yescomplemented
333#6442C2×C418yescomplemented
334#6442C2×C418yescomplemented
335#6441C2×C418yescomplemented
336#6435—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#2383—71no—
379#2379—71no—
380#2377—71no—
381#2376—71no—
382#2373—71no—
383#2368—71no—
384#2367—71no—
385#2364—71no—
386#2361—71no—
387#2361—71no—
388#2360—71no—
389#2359—71no—
390#2353—71no—
391#2352—71no—
392#2349—71no—
393D4×C4⋊C4—71no—
394#2337—71no—
395#2335—71no—
396#2334—71no—
397#2334—71no—
398#2326—71no—
399#2325—71no—
400#2324—71no—
401#2322—71no—
402#2321—71no—
403#2321—71no—
404#2312—71no—
405C4×#120—71no—
406C4×#120D711yescharacteristic, complemented
407C2×#385—71no—
408C24×C7—22no—
409C24×C7—22no—
410C24×C7—41no—
411C24×C7—41no—
412C24×C7—41no—
413C24×C7—41no—
414C24×C7C22×C414yes—
415C24×C7C2411yescharacteristic
416C24×C7C2411yescharacteristic
417C24×C7C2411yescharacteristic
418C24×C7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C2×C7×D4—22no—
421C2×C7×D4—22no—
422C2×C7×D4—41no—
423C2×C7×D4—41no—
424C2×C7×D4—41no—
425C2×C7×D4—41no—
426C2×C7×D4C22×C414yes—
427C2×C7×D4C22×C414yes—
428C2×C7×D4C22×C414yes—
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7—22no—
432C22×C4×C7—22no—
433C22×C4×C7—22no—
434C22×C4×C7—22no—
435C22×C4×C7—22no—
436C22×C4×C7—22no—
437C22×C4×C7—22no—
438C22×C4×C7—41no—
439C22×C4×C7—41no—
440C22×C4×C7—41no—
441C22×C4×C7—41no—
442C22×C4×C7—41no—
443C22×C4×C7—41no—
444C22×C4×C7—41no—
445C22×C4×C7—41no—
446C22×C4×C7—41no—
447C22×C4×C7—41no—
448C22×C4×C7—41no—
449C22×C4×C7—41no—
450C22×C4×C7—416no—
451C22×C4×C7C2411yescharacteristic
452C22×C4×C7C2411yescharacteristic
453C22×C4×C7C2411yescharacteristic
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C2×C22⋊D7—22no—
463C2×C22⋊D7—22no—
464C2×C22⋊D7—41no—
465C2×C22⋊D7—41no—
466C2×C22⋊D7—41no—
467C2×C22⋊D7—41no—
468C2×C22⋊D7—41no—
469C2×C22⋊D7—41no—
470C2×C22⋊D7C22×C414yes—
471C2×C22⋊D7C22×C414yes—
472C2×C22⋊D7C22×C414yes—
473C2×C22⋊D7C22×C414yescomplemented
474C22×Dic7—22no—
475C22×Dic7—22no—
476C22×Dic7—41no—
477C22×Dic7—41no—
478C22×Dic7—41no—
479C22×Dic7—41no—
480C22×Dic7—41no—
481C22×Dic7—41no—
482C22×Dic7—41no—
483C22×Dic7—41no—
484C22×Dic7—41no—
485C22×Dic7—41no—
486C22×Dic7—41no—
487C22×Dic7—41no—
488C22×Dic7—41no—
489C22×Dic7C22×C414yes—
490C22×Dic7C22×C414yes—
491C22×Dic7C22×C414yescomplemented
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C22×Dic7C2411yescharacteristic
504C22×Dic7C2411yescharacteristic
505C22×Dic7C2411yescharacteristic
506C22×Dic7C2411yescharacteristic
507C2×C4×D7—22no—
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×D7—41no—
515C2×C4×D7C22×C414yescomplemented
516C2×Dic14—41no—
517C2×Dic14—41no—
518C2×Dic14C22×C414yescomplemented
519C7×C4⋊C4—22no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C22⋊C4—22no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—41no—
526C7×C22⋊C4—41no—
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4C22×C414yes—
532C7×C22⋊C4C22×C414yes—
533C7×C22⋊C4C22×C414yes—
534C42×C7—22no—
535C42×C7—41no—
536C42×C7—41no—
537C22⋊Dic7—22no—
538C22⋊Dic7—22no—
539C22⋊Dic7—41no—
540C22⋊Dic7—41no—
541C22⋊Dic7—41no—
542C22⋊Dic7—41no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7—41no—
547C22⋊Dic7—41no—
548C22⋊Dic7—41no—
549C22⋊Dic7—41no—
550C22⋊Dic7C22×C414yes—
551C22⋊Dic7C22×C414yes—
552C22⋊Dic7C22×C414yes—
553C22⋊Dic7C22×C414yes—
554C22⋊Dic7C22×C414yes—
555C22⋊Dic7C22×C414yes—
556C22⋊Dic7C22×C414yes—
557C22⋊Dic7C22×C414yescomplemented
558C22⋊Dic7C22×C414yescomplemented
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)⋊C4C22×C414yescomplemented
566(C2×D7)⋊C4C22×C414yescomplemented
567C4⋊Dic7—41no—
568C4⋊Dic7—41no—
569C4⋊Dic7—41no—
570C4⋊Dic7C22×C414yescomplemented
571C4⋊Dic7C22×C414yescomplemented
572Dic7⋊C4—22no—
573Dic7⋊C4—22no—
574Dic7⋊C4—22no—
575Dic7⋊C4—22no—
576Dic7⋊C4—22no—
577Dic7⋊C4—41no—
578Dic7⋊C4—41no—
579Dic7⋊C4—41no—
580Dic7⋊C4—41no—
581Dic7⋊C4—41no—
582Dic7⋊C4—41no—
583Dic7⋊C4—41no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4C22×C414yescomplemented
591Dic7⋊C4C22×C414yescomplemented
592Dic7⋊C4C22×C414yescomplemented
593Dic7⋊C4C22×C414yescomplemented
594C4×Dic7—22no—
595C4×Dic7—41no—
596C4×Dic7—41no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C4×Dic7—41no—
606C4×Dic7—41no—
607C4×Dic7C22×C414yescomplemented
608C4×Dic7C22×C414yescomplemented
609C24×C4C2×D711yescharacteristic
610#538—716no—
611C2×#126—71no—
612C2×#126—71no—
613C2×#124—71no—
614C2×#124—71no—
615C2×#123—71no—
616C2×#123—71no—
617C2×C22⋊Q8—71no—
618C2×#121—71no—
619C2×#121—71no—
620C2×#121—71no—
621C2×#120—71no—
622C2×#120C2×D711yescharacteristic
623C2×C4×Q8—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×C4×D4—71no—
628C2×C4×D4—71no—
629C2×C4×D4—71no—
630C2×C4×D4—71no—
631C2×C4×D4—71no—
632C2×C4×D4C2×D711yescharacteristic
633C2×C4×D4C2×D711yescharacteristic
634C2×C4×D4C2×D711yescharacteristic
635C2×#117—71no—
636C22×C4⋊C4—71no—
637C22×C4⋊C4—71no—
638C22×C4⋊C4—71no—
639C22×C22⋊C4—71no—
640C22×C22⋊C4—71no—
641#391—71no—
642#391—71no—
643#391—71no—
644#390—71no—
645#390—71no—
646#390—71no—
647#390—71no—
648#390—71no—
649#389—71no—
650#389—71no—
651#389—71no—
652#389—71no—
653#389—71no—
654#389—71no—
655#389—71no—
656#389—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#388—71no—
679#388—71no—
680#388—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#387—71no—
691#387—71no—
692#387—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#386C2×D711yescharacteristic
705#386C2×D711yescharacteristic
706#386C2×D711yescharacteristic
707#385—71no—
708#385—71no—
709#385—71no—
710#385—71no—
711#385—71no—
712#385—71no—
713#385—71no—
714#385—71no—
715#385—71no—
716#385—71no—
717#385—71no—
718#385—71no—
719#385—71no—
720#385—71no—
721#385—71no—
722#385—71no—
723#385—71no—
724#385—71no—
725#385—71no—
726#385C2×D711yescharacteristic
727#385C2×D711yescharacteristic
728#385C2×D711yescharacteristic
729#384—71no—
730#383—71no—
731#382—71no—
732#382—71no—
733#381—71no—
734#380—71no—
735#380—71no—
736#380—71no—
737#380—71no—
738#380—71no—
739#379—71no—
740#379C2×D711yescharacteristic
741C4×C4⋊C4—71no—
742C4×C4⋊C4—71no—
743C4×C4⋊C4—71no—
744C4×C4⋊C4—71no—
745C4×C4⋊C4—71no—
746C4×C4⋊C4—71no—
747C4×C4⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4—71no—
757C4×C22⋊C4—71no—
758C4×C22⋊C4C2×D711yescharacteristic
759C4×C22⋊C4C2×D711yescharacteristic
760C4×C22⋊C4C2×D711yescharacteristic
761#376—71no—
762C2×#95—71no—
763C2×#95—71no—
764C2×#95—71no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—28no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7—21no—
783C23×C7—21no—
784C23×C7—21no—
785C23×C7—21no—
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—44no—
789C23×C7—44no—
790C23×C7—44no—
791C23×C7—44no—
792C23×C7—44no—
793C23×C7—44no—
794C23×C7C23×C412yes—
795C23×C7C23×C412yes—
796C23×C7C23×C412yes—
797C23×C7C23×C412yes—
798C23×C7H(5,𝔽2)12yes—
799C23×C72−1+412yes—
800C23×C7C2511yescharacteristic
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7C23×C412yes—
808C7×D4—28no—
809C7×D4—44no—
810C7×D4—44no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—44no—
840C2×C4×C7—44no—
841C2×C4×C7—44no—
842C2×C4×C7—44no—
843C2×C4×C7—44no—
844C2×C4×C7—44no—
845C2×C4×C7—82no—
846C2×C4×C7C23×C412yes—
847C2×C4×C7C23×C412yes—
848C2×C4×C7C23×C412yes—
849C2×C4×C7H(5,𝔽2)12yes—
850C2×C4×C7H(5,𝔽2)12yes—
851C22⋊D7—28no—
852C22⋊D7—44no—
853C22⋊D7—44no—
854C22⋊D7—44no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—44no—
894C2×Dic7—44no—
895C2×Dic7—44no—
896C2×Dic7—82no—
897C2×Dic7—82no—
898C2×Dic7—82no—
899C2×Dic7C23×C412yes—
900C2×Dic7C23×C412yes—
901C2×Dic7C23×C412yes—
902C2×Dic7C23×C412yes—
903C2×Dic7C23×C412yes—
904C2×Dic7C23×C412yes—
905C2×Dic7C23×C412yes—
906C4×D7—44no—
907C4×D7—82no—
908C4×D7—82no—
909Dic14—44no—
910C25C22×D711yescharacteristic
911C22×Q8—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4C22×D711yescharacteristic
917C22×D4C22×D711yescharacteristic
918C22×D4C22×D711yescharacteristic
919C23×C4—42no—
920C23×C4—42no—
921C23×C4—42no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4C22×D711yescharacteristic
932C23×C4C22×D711yescharacteristic
933C23×C4C22×D711yescharacteristic
934C23×C4C22×D711yescharacteristic
935C23×C4C22×D711yescharacteristic
936C23×C4C22×D711yescharacteristic
937C23×C4C22×D711yescharacteristic
938#126—78no—
939#126—78no—
940#124—78no—
941#124—78no—
942#123—78no—
943#123—78no—
944C22⋊Q8—78no—
945#121—78no—
946#121—78no—
947#121—78no—
948#120—78no—
949#120C4×D718yescomplemented
950C4×Q8—282no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—42no—
954C4×D4—78no—
955C4×D4—78no—
956C4×D4—282no—
957C4×D4—282no—
958C4×D4—282no—
959C4×D4—282no—
960C4×D4—282no—
961C4×D4—282no—
962#117—282no—
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—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—71no—
983C2×C4⋊C4—71no—
984C2×C4⋊C4—71no—
985C2×C4⋊C4—71no—
986C2×C4⋊C4—71no—
987C2×C4⋊C4—71no—
988C2×C4⋊C4—71no—
989C2×C4⋊C4—71no—
990C2×C4⋊C4—282no—
991C2×C4⋊C4—282no—
992C2×C4⋊C4—282no—
993C2×C4⋊C4C22×D711yescharacteristic
994C2×C4⋊C4C22×D711yescharacteristic
995C2×C4⋊C4C22×D711yescharacteristic
996C2×C22⋊C4—78no—
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—71no—
1020C2×C22⋊C4—71no—
1021C2×C22⋊C4—71no—
1022C2×C22⋊C4—71no—
1023C2×C22⋊C4—71no—
1024C2×C22⋊C4—71no—
1025C2×C22⋊C4—71no—
1026C2×C22⋊C4—71no—
1027C2×C22⋊C4—282no—
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C22⋊C4C22×D711yescharacteristic
1030C2×C22⋊C4C22×D711yescharacteristic
1031C2×C22⋊C4C22×D711yescharacteristic
1032C2×C22⋊C4C22×D711yescharacteristic
1033C2×C22⋊C4C22×D711yescharacteristic
1034C2×C22⋊C4C22×D711yescharacteristic
1035C2×C22⋊C4C22×D711yescharacteristic
1036C2×C22⋊C4C22×D711yescharacteristic
1037C2×C22⋊C4C22×D711yescharacteristic
1038C2×C22⋊C4C22×D711yescharacteristic
1039C2×C22⋊C4C22×D711yescharacteristic
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—71no—
1048C2×C42—71no—
1049C2×C42—71no—
1050C2×C42—71no—
1051C2×C42—71no—
1052C2×C42—71no—
1053C2×C42—71no—
1054C2×C42—71no—
1055C2×C42C22×D711yescharacteristic
1056C2×C42C22×D711yescharacteristic
1057C2×C42C22×D711yescharacteristic
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#95—71no—
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097#95C22×D711yescharacteristic
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—22no—
1105C22×C7—22no—
1106C22×C7—22no—
1107C22×C7—22no—
1108C22×C7—22no—
1109C22×C7—22no—
1110C22×C7—22no—
1111C22×C7—22no—
1112C22×C7—22no—
1113C22×C7—416no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7—41no—
1119C22×C7—41no—
1120C22×C7—41no—
1121C22×C7—41no—
1122C22×C7—41no—
1123C22×C7—41no—
1124C22×C7—41no—
1125C22×C7—41no—
1126C22×C7#52014yes—
1127C22×C7C24×C411yescharacteristic
1128C22×C7C2×H(5,𝔽2)11yescharacteristic
1129C22×C7C2×H(5,𝔽2)11yescharacteristic
1130C22×C7C2×H(5,𝔽2)11yescharacteristic
1131C22×C7C2×2−1+411yescharacteristic
1132C22×C7#58511yescharacteristic
1133C22×C7#58511yescharacteristic
1134C2×D7—22no—
1135C2×D7—22no—
1136C2×D7—22no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7—41no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—41no—
1147C4×C7—41no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152Dic7—22no—
1153Dic7—22no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—22no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167C24—22no—
1168C24—22no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—71no—
1174C24C2×C4×D714yes—
1175C24C23×D711yescharacteristic
1176C24C23×D711yescharacteristic
1177C24C23×D711yescharacteristic
1178C24C23×D711yescharacteristic
1179C2×Q8—74no—
1180C2×Q8—281no—
1181C2×Q8—281no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—74no—
1191C2×D4—74no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4—281no—
1200C2×D4C2×C4×D714yes—
1201C2×D4C2×C4×D714yes—
1202C2×D4C2×C4×D714yes—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—416no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—71no—
1232C22×C4—74no—
1233C22×C4—74no—
1234C22×C4—74no—
1235C22×C4—74no—
1236C22×C4—71no—
1237C22×C4—71no—
1238C22×C4—71no—
1239C22×C4—71no—
1240C22×C4—71no—
1241C22×C4—71no—
1242C22×C4—71no—
1243C22×C4—71no—
1244C22×C4—142no—
1245C22×C4—142no—
1246C22×C4—142no—
1247C22×C4—281no—
1248C22×C4—281no—
1249C22×C4—281no—
1250C22×C4—281no—
1251C22×C4—281no—
1252C22×C4—281no—
1253C22×C4—281no—
1254C22×C4—281no—
1255C22×C4—281no—
1256C22×C4—281no—
1257C22×C4—281no—
1258C22×C4—281no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
1264C22×C4—281no—
1265C22×C4—281no—
1266C22×C4—281no—
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
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—74no—
1282C4⋊C4—74no—
1283C4⋊C4—74no—
1284C4⋊C4—74no—
1285C4⋊C4—74no—
1286C4⋊C4—74no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—142no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4—281no—
1306C4⋊C4—281no—
1307C4⋊C4—281no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—74no—
1318C22⋊C4—74no—
1319C22⋊C4—74no—
1320C22⋊C4—74no—
1321C22⋊C4—74no—
1322C22⋊C4—74no—
1323C22⋊C4—74no—
1324C22⋊C4—74no—
1325C22⋊C4—74no—
1326C22⋊C4—74no—
1327C22⋊C4—74no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4—281no—
1337C22⋊C4—281no—
1338C22⋊C4—281no—
1339C22⋊C4—281no—
1340C22⋊C4—281no—
1341C22⋊C4—281no—
1342C22⋊C4—281no—
1343C22⋊C4—281no—
1344C22⋊C4—281no—
1345C22⋊C4—281no—
1346C22⋊C4—281no—
1347C22⋊C4C2×C4×D714yes—
1348C22⋊C4C2×C4×D714yes—
1349C22⋊C4C2×C4×D714yes—
1350C42—22no—
1351C42—41no—
1352C42—41no—
1353C42—74no—
1354C42—74no—
1355C42—142no—
1356C42—281no—
1357C42—281no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42—281no—
1368C2×C7—24no—
1369C2×C7—42no—
1370C2×C7—42no—
1371C2×C7—42no—
1372C2×C7C2×#52011yescharacteristic
1373C2×C7C4×H(5,𝔽2)11yescharacteristic
1374C2×C7C4×H(5,𝔽2)11yescharacteristic
1375C2×C7#353211yescharacteristic
1376C2×C7#353311yescharacteristic
1377C2×C7#354111yescharacteristic
1378C2×C7#354111yescharacteristic
1379D7—42no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—28no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—44no—
1404C23—44no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—72no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—141no—
1415C23—141no—
1416C23C22×C4×D712yes—
1417C23C22×C4×D712yes—
1418C23C22×C4×D712yes—
1419C23C22×C4×D712yes—
1420C23#654812yes—
1421C23#655412yes—
1422C23C24×D711yescharacteristic
1423Q8—284no—
1424D4—28no—
1425D4—44no—
1426D4—44no—
1427D4—148no—
1428D4—284no—
1429D4—284no—
1430D4—284no—
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—21no—
1458C2×C4—21no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—72no—
1468C2×C4—72no—
1469C2×C4—72no—
1470C2×C4—72no—
1471C2×C4—72no—
1472C2×C4—82no—
1473C2×C4—141no—
1474C2×C4—141no—
1475C2×C4—141no—
1476C2×C4—141no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—141no—
1507C2×C4—141no—
1508C2×C4—141no—
1509C2×C4—141no—
1510C2×C4—141no—
1511C2×C4—284no—
1512C2×C4—284no—
1513C2×C4—284no—
1514C2×C4—284no—
1515C2×C4—562no—
1516C2×C4—562no—
1517C2×C4—562no—
1518C2×C4—562no—
1519C2×C4—562no—
1520C2×C4C22×C4×D712yes—
1521C2×C4C22×C4×D712yes—
1522C2×C4C22×C4×D712yes—
1523C2×C4#654812yes—
1524C2×C4#654812yes—
1525C7#3441611yescharacteristic, complemented, Sylow
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—416no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—142no—
1555C22—142no—
1556C22—142no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22#9023714yes—
1562C22C23×C4×D711yescharacteristic
1563C22C2×#654811yescharacteristic
1564C22C2×#654811yescharacteristic
1565C22C2×#654811yescharacteristic
1566C22C2×#655411yescharacteristic
1567C22#9061611yescharacteristic
1568C22#9061611yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—142no—
1581C4—142no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—281no—
1588C4—281no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C4—281no—
1594C4—281no—
1595C2—24no—
1596C2—42no—
1597C2—42no—
1598C2—42no—
1599C2—282no—
1600C2C2×#9023711yescharacteristic
1601C2C4×#654811yescharacteristic
1602C2C4×#654811yescharacteristic
1603C2#1174298911yescharacteristic
1604C2#1174311711yescharacteristic
1605C2#1174312411yescharacteristic
1606C2#1174312511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC4×C7×#120C2
socle, cosocleC23×C7C25
prime radicalC2×#90284C2
hypercenterC4×#120D7
hypocenterC7#34416
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
2. C4×C7×#120C2semidirect
3. C4×#6516C2semidirect
4. C2×#89982C2semidirect
5. #11740023C2semidirect
6. #11739841C2semidirect
7. #11739789C2semidirect
8. #11739787C2semidirect
9. #11739785C2semidirect
10. D4×Dic7⋊C4C2semidirect
11. #11739771C2semidirect
12. #11732322C2semidirect
13. #11732129C2semidirect
14. #11732128C2semidirect
15. #11732121C2semidirect
16. #11732119C2semidirect
17. #11732115C2semidirect
18. #11732043C2semidirect
19. #11731848C2semidirect
20. #11731841C2semidirect
21. #11731839C2semidirect
22. #11731833C2semidirect
23. #11731831C2semidirect
24. #11731266C2semidirect
25. #11731265C2semidirect
26. #11731023C2semidirect
27. #11730921C2semidirect
28. #11730919C2semidirect
29. #11730906C2semidirect
30. #11730897C2semidirect
31. #11730895C2semidirect
52. C22×Dic7⋊C4C22semidirect
53. #90284C4semidirect
54. C2×#6450C22semidirect
59. C2×(C22⋊D7)⋊C4C22semidirect
63. C2×#6435C22semidirect
83. #89985C22semidirect
95. #89982C22semidirect
99. C4×C22⋊Dic7C22semidirect
102. #89762C22semidirect
103. #89761C22semidirect
104. #89759C22semidirect
105. #89750C22semidirect
106. #89748C22semidirect
107. C4⋊C4×Dic7C22semidirect
108. #89745C22semidirect
109. #89745C22semidirect
110. #89744C22semidirect
111. #89744C22semidirect
112. #89744C22semidirect
116. #89729C22semidirect
119. #89728C22semidirect
126. #89718C22semidirect
127. #89718C22semidirect
134. #89717C22semidirect
135. #89717C22semidirect
136. #89717C22semidirect
143. #89716C22semidirect
144. #89715C22semidirect
147. #89714C22semidirect
152. C22⋊C4×Dic7C22semidirect
153. #89712C22semidirect
154. C4×(C2×D7)⋊C4C22semidirect
155. C4×C4⋊Dic7C22semidirect
156. #89705C22semidirect
157. #89705C22semidirect
158. #89705C22semidirect
159. C4×Dic7⋊C4C22semidirect
160. C4×Dic7⋊C4C22semidirect
161. C4×Dic7⋊C4C22semidirect
162. #89701C22semidirect
163. #89700C22semidirect
164. #89441C22semidirect
165. #89441C22semidirect
166. #89440C22semidirect
167. #89440C22semidirect
168. #89439C22semidirect
169. D7×#95C22semidirect
170. #89427C22semidirect
171. #89427C22semidirect
172. #89426C22semidirect
173. #89426C22semidirect
174. #89425C22semidirect
175. #89425C22semidirect
176. #89424C22semidirect
177. #89424C22semidirect
178. #89423C22semidirect
179. #89422C22semidirect
180. #89422C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89420C22semidirect
184. #89419C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
217. C7×#120C2×C4semidirect
239. #6516C2×C4semidirect
241. C2×C22⋊Dic7C2×C4semidirect
264. #6502C2×C4semidirect
265. #6502C2×C4semidirect
266. #6501C2×C4semidirect
267. #6499C2×C4semidirect
268. #6498C2×C4semidirect
270. D4×Dic7C2×C4semidirect
328. #6448C2×C4semidirect
329. #6446C2×C4semidirect
332. (C22⋊D7)⋊C4C2×C4semidirect
333. #6442C2×C4semidirect
334. #6442C2×C4semidirect
335. #6441C2×C4semidirect
406. C4×#120D7semidirect
473. C2×C22⋊D7C22×C4semidirect
491. C22×Dic7C22×C4semidirect
515. C2×C4×D7C22×C4semidirect
518. C2×Dic14C22×C4semidirect
557. C22⋊Dic7C22×C4semidirect
558. C22⋊Dic7C22×C4semidirect
565. (C2×D7)⋊C4C22×C4semidirect
566. (C2×D7)⋊C4C22×C4semidirect
570. C4⋊Dic7C22×C4semidirect
571. C4⋊Dic7C22×C4semidirect
590. Dic7⋊C4C22×C4semidirect
591. Dic7⋊C4C22×C4semidirect
592. Dic7⋊C4C22×C4semidirect
593. Dic7⋊C4C22×C4semidirect
607. C4×Dic7C22×C4semidirect
608. C4×Dic7C22×C4semidirect
949. #120C4×D7semidirect
1525. C7#34416semidirect

Maximal subgroups

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

subgroupindex
C2×#902842
C4×C7×#1202
C4×#65162
C2×#899822
#117400232
#117398412
#117397892
#117397872
#117397852
D4×Dic7⋊C42
#117397712
#117323222
#117321292
#117321282
#117321212
#117321192
#117321152
#117320432
#117318482
#117318412
#117318392
#117318332
#117318312
#117312662
#117312652
#117310232
#117309212
#117309192
#117309062
#117308972
#117308952
#344167