Finite Group Databasebeta

← #13517347

Subgroups — #13517347

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×#90348C211yesmaximal, characteristic
2C7×#2359C211yesmaximal, characteristic, complemented
3#11740285C211yesmaximal, characteristic, complemented
4#11739844C211yesmaximal, characteristic, complemented
5C4×#6500C211yesmaximal, characteristic, complemented
6#11739717C211yesmaximal, characteristic, complemented
7#11739681C211yesmaximal, characteristic, complemented
8#11733647C211yesmaximal, characteristic, complemented
9#11733420C211yesmaximal, characteristic, complemented
10#11733271C211yesmaximal, characteristic, complemented
11#11733270C211yesmaximal, characteristic, complemented
12#11732939C211yesmaximal, characteristic, complemented
13#11732938C211yesmaximal, characteristic, complemented
14#11732756C211yesmaximal, characteristic, complemented
15#11732751C211yesmaximal, characteristic, complemented
16#11732742C211yesmaximal, characteristic, complemented
17#11732400C211yesmaximal, characteristic, complemented
18#11732328C211yesmaximal, characteristic, complemented
19#11732321C211yesmaximal, characteristic, complemented
20D7×#385C211yesmaximal, characteristic, complemented
21#11731843C211yesmaximal, characteristic, complemented
22#11731842C211yesmaximal, characteristic, complemented
23#11731831C211yesmaximal, characteristic, complemented
24#11731218C211yesmaximal, characteristic, complemented
25#11731210C211yesmaximal, characteristic, complemented
26#11731024C211yesmaximal, characteristic, complemented
27C4×#6445C211yesmaximal, characteristic, complemented
28#11730921C211yesmaximal, characteristic, complemented
29#11730897C211yesmaximal, characteristic, complemented
30#11730814C211yesmaximal, characteristic, complemented
31#11730778C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic
34C2×C4×C7×D4C2211yescharacteristic
35C2×C7×#117C2211yescharacteristic, complemented
36C2×#6501C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6493C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40C2×C4×C22⋊D7C2211yescharacteristic
41C2×C4×C22⋊D7C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic, complemented
45#90348C4116yescomplemented
46C2×#6461C2211yescharacteristic
47C2×#6460C2211yescharacteristic
48C2×#6457C2211yescharacteristic
49C2×#6456C2211yescharacteristic
50C2×#6456C2211yescharacteristic
51C2×D7×C4⋊C4C2211yescharacteristic
52C2×D7×C4⋊C4C2211yescharacteristic
53C2×D7×C4⋊C4C2211yescharacteristic, complemented
54C2×#6450C2211yescharacteristic, complemented
55C2×#6448C2211yescharacteristic
56C2×#6448C2211yescharacteristic
57C2×#6447C2211yescharacteristic
58C2×#6445C2211yescharacteristic
59C2×D7×C22⋊C4C2211yescharacteristic
60C2×D7×C22⋊C4C2211yescharacteristic
61C2×#6442C2211yescharacteristic
62C2×C4×D28C2211yescharacteristic
63C2×C4×D28C2211yescharacteristic
64C7×#389C2211yescharacteristic, complemented
65C7×#388C2211yescharacteristic
66C7×#388C2211yescharacteristic
67C7×#387C2211yescharacteristic, complemented
68C7×#387C2211yescharacteristic, complemented
69C7×#386C2211yescharacteristic
70C7×#385C2211yescharacteristic
71C7×#385C2211yescharacteristic, complemented
72C4×C7×C4⋊C4C2211yescharacteristic, complemented
73C4×C7×C22⋊C4C2211yescharacteristic
74C4×C7×C22⋊C4C2211yescharacteristic, complemented
75C2×C7×#95C2211yescharacteristic, complemented
76#89993C2211yescharacteristic
77#89992C2211yescharacteristic
78#89985C2211yescharacteristic
79#89985C2211yescharacteristic, complemented
80#89984C2211yescharacteristic, complemented
81#89984C2211yescharacteristic, complemented
82#89982C2211yescharacteristic
83#89982C2211yescharacteristic, complemented
84#89982C2211yescharacteristic, complemented
85C4×C22⋊Dic7C2211yescharacteristic
86#89762C2211yescharacteristic
87#89762C2211yescharacteristic
88#89762C2211yescharacteristic, complemented
89#89762C2211yescharacteristic, complemented
90#89761C2211yescharacteristic
91#89761C2211yescharacteristic
92#89761C2211yescharacteristic
93#89761C2211yescharacteristic
94#89761C2211yescharacteristic, complemented
95#89759C2211yescharacteristic
96#89757C2211yescharacteristic, complemented
97#89757C2211yescharacteristic, complemented
98#89753C2211yescharacteristic, complemented
99#89753C2211yescharacteristic, complemented
100#89749C2211yescharacteristic, complemented
101#89748C2211yescharacteristic, complemented
102C4⋊C4×Dic7C2211yescharacteristic, complemented
103C4⋊C4×Dic7C2211yescharacteristic, complemented
104#89744C2211yescharacteristic, complemented
105#89730C2211yescharacteristic
106#89729C2211yescharacteristic
107#89729C2211yescharacteristic
108#89729C2211yescharacteristic, complemented
109#89728C2211yescharacteristic
110#89728C2211yescharacteristic
111#89728C2211yescharacteristic
112#89728C2211yescharacteristic
113#89728C2211yescharacteristic, complemented
114#89727C2211yescharacteristic
115#89727C2211yescharacteristic
116#89723C2211yescharacteristic
117#89723C2211yescharacteristic
118#89723C2211yescharacteristic, complemented
119#89723C2211yescharacteristic, complemented
120#89722C2211yescharacteristic
121#89722C2211yescharacteristic
122#89718C2211yescharacteristic
123#89718C2211yescharacteristic
124#89717C2211yescharacteristic
125#89717C2211yescharacteristic, complemented
126#89717C2211yescharacteristic, complemented
127#89716C2211yescharacteristic
128#89716C2211yescharacteristic
129#89716C2211yescharacteristic
130#89712C2211yescharacteristic
131#89712C2211yescharacteristic, complemented
132#89711C2211yescharacteristic
133C4×(C2×D7)⋊C4C2211yescharacteristic
134C4×(C2×D7)⋊C4C2211yescharacteristic
135C4×(C2×D7)⋊C4C2211yescharacteristic
136C4×(C2×D7)⋊C4C2211yescharacteristic
137C4×(C2×D7)⋊C4C2211yescharacteristic
138C4×(C2×D7)⋊C4C2211yescharacteristic
139C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
140C4×C4⋊Dic7C2211yescharacteristic, complemented
141#89705C2211yescharacteristic, complemented
142#89705C2211yescharacteristic, complemented
143#89705C2211yescharacteristic, complemented
144C4×Dic7⋊C4C2211yescharacteristic, complemented
145#89701C2211yescharacteristic, complemented
146#89700C2211yescharacteristic, complemented
147#89700C2211yescharacteristic, complemented
148#89442C2211yescharacteristic
149#89442C2211yescharacteristic
150#89442C2211yescharacteristic, complemented
151#89441C2211yescharacteristic
152#89441C2211yescharacteristic
153#89441C2211yescharacteristic
154#89440C2211yescharacteristic
155#89440C2211yescharacteristic
156#89440C2211yescharacteristic
157#89440C2211yescharacteristic
158#89440C2211yescharacteristic
159#89440C2211yescharacteristic
160#89440C2211yescharacteristic, complemented
161#89440C2211yescharacteristic, complemented
162#89439C2211yescharacteristic
163#89439C2211yescharacteristic, complemented
164#89438C2211yescharacteristic
165#89438C2211yescharacteristic
166#89438C2211yescharacteristic, complemented
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89436C2211yescharacteristic, complemented
172D7×#95C2211yescharacteristic
173D7×#95C2211yescharacteristic
174#89427C2211yescharacteristic, complemented
175#89426C2211yescharacteristic, complemented
176#89425C2211yescharacteristic, complemented
177#89425C2211yescharacteristic, complemented
178#89425C2211yescharacteristic, complemented
179#89423C2211yescharacteristic, 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
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×C4×D7—42no—
203C22×C4×D7—42no—
204C22×C4×D7—42no—
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C7×#123C2×C418yescomplemented
218C4×C7×D4—42no—
219C7×#117—42no—
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C4⋊C4C2311yescharacteristic
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊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×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×C22⋊Dic7C2311yescharacteristic
250#6501C2×C418yescomplemented
251#6500C2×C418yescomplemented
252#6493C2×C418yescomplemented
253C4×C22⋊D7—42no—
254C4×C22⋊D7—42no—
255C4×C22⋊D7—42no—
256C4×C22⋊D7—42no—
257C4×C22⋊D7—42no—
258C4×C22⋊D7C2×C418yescomplemented
259C2×(C2×D7)⋊C4C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×C4⋊Dic7C2311yescharacteristic
291C2×C4⋊Dic7C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
307C2×C4×Dic7C2311yescharacteristic
308C2×C4×Dic7C2311yescharacteristic
309C2×C4×Dic7C2311yescharacteristic
310C2×C4×Dic7C2311yescharacteristic
311C2×C4×Dic7C2311yescharacteristic
312C2×C4×Dic7C2311yescharacteristic
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315C2×C4×Dic7C2311yescharacteristic
316C2×C4×Dic7C2311yescharacteristic
317C2×C4×Dic7C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319#6461C2×C418yescomplemented
320#6460C2×C418yescomplemented
321#6457C2×C418yescomplemented
322#6456—42no—
323#6456C2×C418yescomplemented
324D7×C4⋊C4—42no—
325D7×C4⋊C4—42no—
326D7×C4⋊C4—42no—
327#6450—42no—
328#6448C2×C418yescomplemented
329#6448C2×C418yescomplemented
330#6447C2×C418yescomplemented
331#6445C2×C418yescomplemented
332D7×C22⋊C4—42no—
333D7×C22⋊C4C2×C418yescomplemented
334#6442C2×C418yescomplemented
335C4×D28—42no—
336C4×D28—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#2359D711yescharacteristic, complemented
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×#120—71no—
407C2×#385—71no—
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—41no—
421C2×C7×D4—41no—
422C2×C7×D4C22×C414yes—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—41no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
430C22×C4×C7—41no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7—41no—
434C22×C4×C7C22×C414yescomplemented
435C22×C4×C7C2411yescharacteristic
436C22×C4×C7C2411yescharacteristic
437C22×C4×C7C2411yescharacteristic
438C22×C4×C7C2411yescharacteristic
439C22×C4×C7C2411yescharacteristic
440C22×C4×C7C2411yescharacteristic
441C22×C4×C7C2411yescharacteristic
442C22×C4×C7C2411yescharacteristic
443C22×C4×C7C2411yescharacteristic
444C22×C4×C7C2411yescharacteristic
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C22×C4×C7C2411yescharacteristic
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C2×C22⋊D7C22×C414yes—
457C2×C22⋊D7C22×C414yes—
458C2×C22⋊D7C22×C414yes—
459C2×C22⋊D7C22×C414yescomplemented
460C22×Dic7—41no—
461C22×Dic7—41no—
462C22×Dic7—41no—
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—41no—
479C2×D28—41no—
480C2×D28C22×C414yes—
481C2×D28C22×C414yes—
482C2×C4×D7—22no—
483C2×C4×D7—22no—
484C2×C4×D7—22no—
485C2×C4×D7—22no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—41no—
492C2×C4×D7—41no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7—41no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
498C2×C4×D7—41no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—416no—
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×D7C22×C414yes—
514C2×C4×D7C22×C414yes—
515C2×C4×D7C22×C414yescomplemented
516C2×Dic14—41no—
517C2×Dic14—41no—
518C2×Dic14C22×C414yescomplemented
519C7×C4⋊C4—22no—
520C7×C4⋊C4—22no—
521C7×C4⋊C4—22no—
522C7×C4⋊C4—41no—
523C7×C4⋊C4—41no—
524C7×C4⋊C4C22×C414yescomplemented
525C7×C4⋊C4C22×C414yescomplemented
526C7×C22⋊C4—22no—
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×C414yescomplemented
534C42×C7—22no—
535C42×C7—41no—
536C42×C7—41no—
537C42×C7—41no—
538C42×C7—41no—
539C22⋊Dic7—41no—
540C22⋊Dic7—41no—
541C22⋊Dic7—41no—
542C22⋊Dic7—41no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7C22×C414yes—
547C22⋊Dic7C22×C414yes—
548C22⋊Dic7C22×C414yescomplemented
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—41no—
555(C2×D7)⋊C4—41no—
556(C2×D7)⋊C4—41no—
557(C2×D7)⋊C4—41no—
558(C2×D7)⋊C4—41no—
559(C2×D7)⋊C4—41no—
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×C414yes—
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×C414yescomplemented
572(C2×D7)⋊C4C22×C414yescomplemented
573C4⋊Dic7—41no—
574C4⋊Dic7—41no—
575C4⋊Dic7—41no—
576C4⋊Dic7—41no—
577C4⋊Dic7—41no—
578C4⋊Dic7—41no—
579C4⋊Dic7—41no—
580C4⋊Dic7C22×C414yescomplemented
581C4⋊Dic7C22×C414yescomplemented
582Dic7⋊C4—22no—
583Dic7⋊C4—22no—
584Dic7⋊C4—22no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4—41no—
589Dic7⋊C4—41no—
590Dic7⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4—41no—
594Dic7⋊C4C22×C414yescomplemented
595Dic7⋊C4C22×C414yescomplemented
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×C414yescomplemented
608C4×Dic7C22×C414yescomplemented
609C24×C4—71no—
610#538—716no—
611C2×#126—71no—
612C2×#126—71no—
613C2×#124—71no—
614C2×#124—71no—
615C2×#123—71no—
616C2×#123C2×D711yescharacteristic
617C2×C22⋊Q8—71no—
618C2×#121—71no—
619C2×#121—71no—
620C2×#121—71no—
621C2×#120—71no—
622C2×#120—71no—
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×D4—71no—
633C2×C4×D4—71no—
634C2×C4×D4C2×D711yescharacteristic
635C2×#117C2×D711yescharacteristic, complemented
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#389C2×D711yescharacteristic, complemented
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#388C2×D711yescharacteristic
680#388C2×D711yescharacteristic
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#387C2×D711yescharacteristic, complemented
692#387C2×D711yescharacteristic, complemented
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#386—71no—
705#386—71no—
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#385—71no—
727#385C2×D711yescharacteristic
728#385C2×D711yescharacteristic, complemented
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#379—71no—
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⋊C4C2×D711yescharacteristic, complemented
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⋊C4—71no—
759C4×C22⋊C4C2×D711yescharacteristic
760C4×C22⋊C4C2×D711yescharacteristic, complemented
761#376—71no—
762C2×#95—71no—
763C2×#95—71no—
764C2×#95C2×D711yescharacteristic, complemented
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7C23×C412yes—
778C23×C7C23×C412yes—
779C23×C7C2511yescharacteristic
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—28no—
797C22×D7—44no—
798C22×D7—44no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7C23×C412yes—
804C22×D7C23×C412yes—
805C22×D7C23×C412yes—
806C22×D7H(5,𝔽2)12yes—
807C22×D72−1+412yes—
808C7×D4—44no—
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—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—44no—
842C2×C4×C7—44no—
843C2×C4×C7—82no—
844C2×C4×C7—82no—
845C2×C4×C7C23×C412yes—
846C2×C4×C7C23×C412yes—
847C2×C4×C7C23×C412yes—
848C2×C4×C7C23×C412yes—
849C2×C4×C7C23×C412yes—
850C2×C4×C7H(5,𝔽2)12yes—
851C2×C4×C7H(5,𝔽2)12yes—
852C22⋊D7—28no—
853C22⋊D7—44no—
854C22⋊D7—44no—
855C22⋊D7—44no—
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—44no—
891C2×Dic7C23×C412yes—
892C2×Dic7C23×C412yes—
893C2×Dic7C23×C412yes—
894C2×Dic7C23×C412yes—
895C2×Dic7C23×C412yes—
896D28—28no—
897D28—44no—
898C4×D7—44no—
899C4×D7—44no—
900C4×D7—44no—
901C4×D7—44no—
902C4×D7—44no—
903C4×D7—44no—
904C4×D7—44no—
905C4×D7—82no—
906C4×D7—82no—
907C4×D7—82no—
908C4×D7—82no—
909Dic14—44no—
910C25—71no—
911C22×Q8—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4C22×D711yescharacteristic
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—282no—
932C23×C4—282no—
933C23×C4—282no—
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#123C4×D718yescomplemented
944C22⋊Q8—78no—
945#121—78no—
946#121—78no—
947#121—78no—
948#120—78no—
949#120—78no—
950C4×Q8—282no—
951C4×D4—42no—
952C4×D4—78no—
953C4×D4—78no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958C4×D4—282no—
959C4×D4—282no—
960C4×D4—282no—
961C4×D4—282no—
962#117—42no—
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—282no—
987C2×C4⋊C4—282no—
988C2×C4⋊C4—282no—
989C2×C4⋊C4C22×D711yescharacteristic
990C2×C4⋊C4C22×D711yescharacteristic
991C2×C4⋊C4C22×D711yescharacteristic
992C2×C4⋊C4C22×D711yescharacteristic
993C2×C4⋊C4C22×D711yescharacteristic
994C2×C4⋊C4C22×D711yescharacteristic
995C2×C4⋊C4C22×D711yescharacteristic
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—78no—
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—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—71no—
1030C2×C22⋊C4—71no—
1031C2×C22⋊C4—282no—
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×C42C22×D711yescharacteristic
1054C2×C42C22×D711yescharacteristic
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#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
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—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7—41no—
1112C22×C7C24×C411yescharacteristic
1113C22×C7C2×H(5,𝔽2)11yescharacteristic
1114C22×C7C2×H(5,𝔽2)11yescharacteristic
1115C22×C7C2×H(5,𝔽2)11yescharacteristic
1116C22×C7C2×2−1+411yescharacteristic
1117C22×C7#58511yescharacteristic
1118C22×C7#58511yescharacteristic
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—22no—
1128C2×D7—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—416no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7#52014yes—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—22no—
1147C4×C7—22no—
1148C4×C7—41no—
1149C4×C7—41no—
1150C4×C7—41no—
1151C4×C7—41no—
1152C4×C7—41no—
1153C4×C7—41no—
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—71no—
1168C24—71no—
1169C24—71no—
1170C24—74no—
1171C24—142no—
1172C24—142no—
1173C24—281no—
1174C24—281no—
1175C24—281no—
1176C24—281no—
1177C24C23×D711yescharacteristic
1178C24C23×D711yescharacteristic
1179C2×Q8—74no—
1180C2×Q8—281no—
1181C2×Q8—281no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—74no—
1185C2×D4—74no—
1186C2×D4—74no—
1187C2×D4—74no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—142no—
1191C2×D4—142no—
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×D4—281no—
1201C2×D4—281no—
1202C2×D4C2×C4×D714yes—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—71no—
1215C22×C4—71no—
1216C22×C4—71no—
1217C22×C4—71no—
1218C22×C4—71no—
1219C22×C4—74no—
1220C22×C4—74no—
1221C22×C4—74no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—142no—
1231C22×C4—142no—
1232C22×C4—142no—
1233C22×C4—142no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—281no—
1240C22×C4—281no—
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—2816no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
1264C22×C4C2×C4×D714yescomplemented
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
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—74no—
1284C4⋊C4—74no—
1285C4⋊C4—74no—
1286C4⋊C4—74no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—281no—
1291C4⋊C4—281no—
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⋊C4C2×C4×D714yescomplemented
1307C4⋊C4C2×C4×D714yescomplemented
1308C22⋊C4—22no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—74no—
1314C22⋊C4—74no—
1315C22⋊C4—74no—
1316C22⋊C4—74no—
1317C22⋊C4—74no—
1318C22⋊C4—74no—
1319C22⋊C4—74no—
1320C22⋊C4—74no—
1321C22⋊C4—74no—
1322C22⋊C4—74no—
1323C22⋊C4—74no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—281no—
1330C22⋊C4—281no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊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×D714yescomplemented
1350C42—22no—
1351C42—41no—
1352C42—41no—
1353C42—41no—
1354C42—41no—
1355C42—74no—
1356C42—74no—
1357C42—142no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42—281no—
1368C2×C7—42no—
1369C2×C7—42no—
1370C2×C7C2×#52011yescharacteristic
1371C2×C7C4×H(5,𝔽2)11yescharacteristic
1372C2×C7C4×H(5,𝔽2)11yescharacteristic
1373C2×C7#353211yescharacteristic
1374C2×C7#353311yescharacteristic
1375C2×C7#354111yescharacteristic
1376C2×C7#354111yescharacteristic
1377D7—24no—
1378D7—42no—
1379D7—42no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—72no—
1393C23—72no—
1394C23—72no—
1395C23—72no—
1396C23—72no—
1397C23—148no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—284no—
1415C23—284no—
1416C23—284no—
1417C23—284no—
1418C23—284no—
1419C23—284no—
1420C23C22×C4×D712yes—
1421C23C22×C4×D712yes—
1422C23C24×D711yescharacteristic
1423Q8—284no—
1424D4—44no—
1425D4—148no—
1426D4—148no—
1427D4—284no—
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—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—72no—
1468C2×C4—72no—
1469C2×C4—72no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—141no—
1473C2×C4—141no—
1474C2×C4—141no—
1475C2×C4—141no—
1476C2×C4—141no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—141no—
1505C2×C4—141no—
1506C2×C4—284no—
1507C2×C4—284no—
1508C2×C4—284no—
1509C2×C4—284no—
1510C2×C4—284no—
1511C2×C4—284no—
1512C2×C4—284no—
1513C2×C4—284no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4—562no—
1517C2×C4—562no—
1518C2×C4C22×C4×D712yes—
1519C2×C4C22×C4×D712yes—
1520C2×C4C22×C4×D712yes—
1521C2×C4C22×C4×D712yes—
1522C2×C4C22×C4×D712yes—
1523C2×C4#654812yes—
1524C2×C4#655312yes—
1525C7#3441611yescharacteristic, complemented, Sylow
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—74no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—142no—
1547C22—142no—
1548C22—142no—
1549C22—142no—
1550C22—142no—
1551C22—142no—
1552C22—142no—
1553C22—2816no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22C23×C4×D711yescharacteristic
1563C22C2×#654811yescharacteristic
1564C22C2×#655311yescharacteristic
1565C22#9061611yescharacteristic
1566C22#9061611yescharacteristic
1567C22D7×H(5,𝔽2)11yescharacteristic
1568C22D7×2−1+411yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
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—42no—
1596C2—42no—
1597C2—144no—
1598C2—282no—
1599C2—282no—
1600C2C4×#654811yescharacteristic
1601C2C4×#655311yescharacteristic
1602C2D7×#52011yescharacteristic
1603C2#1174373511yescharacteristic
1604C2#1174375811yescharacteristic
1605C2#1174388811yescharacteristic
1606C2#1174391311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2359C2
socle, cosocleC23×C7C25
prime radicalC2×#90348C2
hypercenter#2359D7
hypocenterC7#34416
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
2. C7×#2359C2semidirect
3. #11740285C2semidirect
4. #11739844C2semidirect
5. C4×#6500C2semidirect
6. #11739717C2semidirect
7. #11739681C2semidirect
8. #11733647C2semidirect
9. #11733420C2semidirect
10. #11733271C2semidirect
11. #11733270C2semidirect
12. #11732939C2semidirect
13. #11732938C2semidirect
14. #11732756C2semidirect
15. #11732751C2semidirect
16. #11732742C2semidirect
17. #11732400C2semidirect
18. #11732328C2semidirect
19. #11732321C2semidirect
20. D7×#385C2semidirect
21. #11731843C2semidirect
22. #11731842C2semidirect
23. #11731831C2semidirect
24. #11731218C2semidirect
25. #11731210C2semidirect
26. #11731024C2semidirect
27. C4×#6445C2semidirect
28. #11730921C2semidirect
29. #11730897C2semidirect
30. #11730814C2semidirect
31. #11730778C2semidirect
35. C2×C7×#117C22semidirect
44. C2×C4×C22⋊D7C22semidirect
45. #90348C4semidirect
53. C2×D7×C4⋊C4C22semidirect
54. C2×#6450C22semidirect
64. C7×#389C22semidirect
67. C7×#387C22semidirect
68. C7×#387C22semidirect
71. C7×#385C22semidirect
72. C4×C7×C4⋊C4C22semidirect
74. C4×C7×C22⋊C4C22semidirect
75. C2×C7×#95C22semidirect
79. #89985C22semidirect
80. #89984C22semidirect
81. #89984C22semidirect
83. #89982C22semidirect
84. #89982C22semidirect
88. #89762C22semidirect
89. #89762C22semidirect
94. #89761C22semidirect
96. #89757C22semidirect
97. #89757C22semidirect
98. #89753C22semidirect
99. #89753C22semidirect
100. #89749C22semidirect
101. #89748C22semidirect
102. C4⋊C4×Dic7C22semidirect
103. C4⋊C4×Dic7C22semidirect
104. #89744C22semidirect
108. #89729C22semidirect
113. #89728C22semidirect
118. #89723C22semidirect
119. #89723C22semidirect
125. #89717C22semidirect
126. #89717C22semidirect
131. #89712C22semidirect
139. C4×(C2×D7)⋊C4C22semidirect
140. C4×C4⋊Dic7C22semidirect
141. #89705C22semidirect
142. #89705C22semidirect
143. #89705C22semidirect
144. C4×Dic7⋊C4C22semidirect
145. #89701C22semidirect
146. #89700C22semidirect
147. #89700C22semidirect
150. #89442C22semidirect
160. #89440C22semidirect
161. #89440C22semidirect
163. #89439C22semidirect
166. #89438C22semidirect
171. #89436C22semidirect
174. #89427C22semidirect
175. #89426C22semidirect
176. #89425C22semidirect
177. #89425C22semidirect
178. #89425C22semidirect
179. #89423C22semidirect
180. #89422C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89420C22semidirect
184. #89419C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
217. C7×#123C2×C4semidirect
250. #6501C2×C4semidirect
251. #6500C2×C4semidirect
252. #6493C2×C4semidirect
258. C4×C22⋊D7C2×C4semidirect
319. #6461C2×C4semidirect
320. #6460C2×C4semidirect
321. #6457C2×C4semidirect
323. #6456C2×C4semidirect
328. #6448C2×C4semidirect
329. #6448C2×C4semidirect
330. #6447C2×C4semidirect
331. #6445C2×C4semidirect
333. D7×C22⋊C4C2×C4semidirect
334. #6442C2×C4semidirect
389. #2359D7semidirect
434. C22×C4×C7C22×C4semidirect
459. C2×C22⋊D7C22×C4semidirect
515. C2×C4×D7C22×C4semidirect
518. C2×Dic14C22×C4semidirect
524. C7×C4⋊C4C22×C4semidirect
525. C7×C4⋊C4C22×C4semidirect
533. C7×C22⋊C4C22×C4semidirect
548. C22⋊Dic7C22×C4semidirect
571. (C2×D7)⋊C4C22×C4semidirect
572. (C2×D7)⋊C4C22×C4semidirect
580. C4⋊Dic7C22×C4semidirect
581. C4⋊Dic7C22×C4semidirect
594. Dic7⋊C4C22×C4semidirect
595. Dic7⋊C4C22×C4semidirect
607. C4×Dic7C22×C4semidirect
608. C4×Dic7C22×C4semidirect
635. C2×#117C2×D7semidirect
656. #389C2×D7semidirect
691. #387C2×D7semidirect
692. #387C2×D7semidirect
728. #385C2×D7semidirect
747. C4×C4⋊C4C2×D7semidirect
760. C4×C22⋊C4C2×D7semidirect
764. C2×#95C2×D7semidirect
943. #123C4×D7semidirect
1264. C22×C4C2×C4×D7semidirect
1306. C4⋊C4C2×C4×D7semidirect
1307. C4⋊C4C2×C4×D7semidirect
1349. C22⋊C4C2×C4×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×#903482
C7×#23592
#117402852
#117398442
C4×#65002
#117397172
#117396812
#117336472
#117334202
#117332712
#117332702
#117329392
#117329382
#117327562
#117327512
#117327422
#117324002
#117323282
#117323212
D7×#3852
#117318432
#117318422
#117318312
#117312182
#117312102
#117310242
C4×#64452
#117309212
#117308972
#117308142
#117307782
#344167