Finite Group Databasebeta

← #13517529

Subgroups — #13517529

Order 1792.

2442 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×#90304C211yesmaximal, characteristic
2C7×#2361C211yesmaximal, characteristic, complemented
3#11740084C211yesmaximal, characteristic, complemented
4#11739843C211yesmaximal, characteristic, complemented
5#11739843C211yesmaximal, characteristic, complemented
6C4×#6501C211yesmaximal, characteristic, complemented
7#11739785C211yesmaximal, characteristic, complemented
8#11739773C211yesmaximal, characteristic, complemented
9#11739771C211yesmaximal, characteristic, complemented
10C4⋊C4×C22⋊D7C211yesmaximal, characteristic, complemented
11#11739603C211yesmaximal, characteristic, complemented
12#11733877C211yesmaximal, characteristic, complemented
13#11733745C211yesmaximal, characteristic, complemented
14#11733644C211yesmaximal, characteristic, complemented
15#11733439C211yesmaximal, characteristic, complemented
16#11733280C211yesmaximal, characteristic, complemented
17D7×#388C211yesmaximal, characteristic, complemented
18#11732931C211yesmaximal, characteristic, complemented
19#11732907C211yesmaximal, characteristic, complemented
20#11732325C211yesmaximal, characteristic, complemented
21#11732322C211yesmaximal, characteristic, complemented
22#11732128C211yesmaximal, characteristic, complemented
23#11732116C211yesmaximal, characteristic, complemented
24#11732036C211yesmaximal, characteristic, complemented
25#11731848C211yesmaximal, characteristic, complemented
26#11731838C211yesmaximal, characteristic, complemented
27#11731836C211yesmaximal, characteristic, complemented
28C4×#6459C211yesmaximal, characteristic, complemented
29#11731111C211yesmaximal, characteristic, complemented
30#11731021C211yesmaximal, characteristic, complemented
31#11730896C211yesmaximal, characteristic, complemented
32C2×C7×#121C2211yescharacteristic
33C2×C4×C7×D4C2211yescharacteristic
34C2×C4×C7×D4C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic, complemented
36C22×C7×C4⋊C4C2211yescharacteristic, complemented
37C2×#6502C2211yescharacteristic
38C2×#6501C2211yescharacteristic
39C2×#6500C2211yescharacteristic
40C2×#6500C2211yescharacteristic
41C2×#6499C2211yescharacteristic
42C2×#6498C2211yescharacteristic
43C2×#6492C2211yescharacteristic
44C2×C4×C22⋊D7C2211yescharacteristic
45C2×C4×C22⋊D7C2211yescharacteristic
46C2×C4×C22⋊D7C2211yescharacteristic
47C2×C4×C22⋊D7C2211yescharacteristic
48C2×C4×C22⋊D7C2211yescharacteristic
49C22×(C2×D7)⋊C4C2211yescharacteristic
50C22×Dic7⋊C4C2211yescharacteristic, complemented
51#90304C4116yescomplemented
52C2×#6461C2211yescharacteristic
53C2×#6459C2211yescharacteristic
54C2×D7×C4⋊C4C2211yescharacteristic
55C2×#6448C2211yescharacteristic
56C2×(C22⋊D7)⋊C4C2211yescharacteristic
57C2×(C22⋊D7)⋊C4C2211yescharacteristic
58C2×(C22⋊D7)⋊C4C2211yescharacteristic
59C2×D7×C22⋊C4C2211yescharacteristic
60C2×D7×C22⋊C4C2211yescharacteristic
61C2×D7×C22⋊C4C2211yescharacteristic
62C2×D7×C22⋊C4C2211yescharacteristic
63C2×#6442C2211yescharacteristic
64C2×C42×D7C2211yescharacteristic
65C2×C4×Dic14C2211yescharacteristic, complemented
66C7×#390C2211yescharacteristic
67C7×#389C2211yescharacteristic, complemented
68C7×#388C2211yescharacteristic
69C7×#388C2211yescharacteristic, complemented
70C7×#386C2211yescharacteristic
71C7×#386C2211yescharacteristic, complemented
72C7×#385C2211yescharacteristic
73C7×#385C2211yescharacteristic, complemented
74C4×C7×C4⋊C4C2211yescharacteristic, complemented
75C4×C7×C22⋊C4C2211yescharacteristic, complemented
76#89993C2211yescharacteristic
77#89993C2211yescharacteristic, complemented
78#89992C2211yescharacteristic
79#89992C2211yescharacteristic
80#89992C2211yescharacteristic
81#89992C2211yescharacteristic, complemented
82#89985C2211yescharacteristic
83#89985C2211yescharacteristic
84#89984C2211yescharacteristic, complemented
85#89983C2211yescharacteristic, complemented
86#89982C2211yescharacteristic
87#89982C2211yescharacteristic
88#89982C2211yescharacteristic
89#89982C2211yescharacteristic, complemented
90#89982C2211yescharacteristic, complemented
91#89982C2211yescharacteristic, complemented
92C4×C22⋊Dic7C2211yescharacteristic, complemented
93C4×C22⋊Dic7C2211yescharacteristic, complemented
94#89762C2211yescharacteristic
95#89762C2211yescharacteristic
96#89762C2211yescharacteristic
97#89761C2211yescharacteristic
98#89761C2211yescharacteristic
99#89761C2211yescharacteristic
100#89761C2211yescharacteristic
101#89761C2211yescharacteristic
102#89761C2211yescharacteristic
103#89759C2211yescharacteristic
104#89759C2211yescharacteristic
105#89753C2211yescharacteristic, complemented
106#89753C2211yescharacteristic, complemented
107#89750C2211yescharacteristic, complemented
108#89750C2211yescharacteristic, complemented
109#89748C2211yescharacteristic, complemented
110#89748C2211yescharacteristic, complemented
111C4⋊C4×Dic7C2211yescharacteristic, complemented
112#89746C2211yescharacteristic, complemented
113#89745C2211yescharacteristic, complemented
114#89744C2211yescharacteristic, complemented
115#89744C2211yescharacteristic, complemented
116#89744C2211yescharacteristic, complemented
117#89744C2211yescharacteristic, complemented
118#89744C2211yescharacteristic, complemented
119#89729C2211yescharacteristic
120#89729C2211yescharacteristic
121#89728C2211yescharacteristic
122#89728C2211yescharacteristic
123#89728C2211yescharacteristic
124#89728C2211yescharacteristic
125#89728C2211yescharacteristic
126#89728C2211yescharacteristic
127#89723C2211yescharacteristic
128#89723C2211yescharacteristic, complemented
129#89722C2211yescharacteristic
130#89722C2211yescharacteristic, complemented
131#89718C2211yescharacteristic
132#89718C2211yescharacteristic, complemented
133#89717C2211yescharacteristic
134#89717C2211yescharacteristic
135#89717C2211yescharacteristic
136#89717C2211yescharacteristic, complemented
137#89716C2211yescharacteristic
138#89716C2211yescharacteristic
139#89716C2211yescharacteristic
140#89716C2211yescharacteristic, complemented
141#89716C2211yescharacteristic, complemented
142#89716C2211yescharacteristic, complemented
143#89716C2211yescharacteristic, complemented
144#89716C2211yescharacteristic, complemented
145#89715C2211yescharacteristic, complemented
146#89714C2211yescharacteristic, complemented
147C22⋊C4×Dic7C2211yescharacteristic
148C22⋊C4×Dic7C2211yescharacteristic
149C22⋊C4×Dic7C2211yescharacteristic, complemented
150#89712C2211yescharacteristic
151#89712C2211yescharacteristic
152#89712C2211yescharacteristic
153C4×(C2×D7)⋊C4C2211yescharacteristic
154C4×(C2×D7)⋊C4C2211yescharacteristic
155C4×(C2×D7)⋊C4C2211yescharacteristic
156C4×(C2×D7)⋊C4C2211yescharacteristic
157C4×C4⋊Dic7C2211yescharacteristic, complemented
158#89705C2211yescharacteristic, complemented
159#89705C2211yescharacteristic, complemented
160#89705C2211yescharacteristic, complemented
161#89704C2211yescharacteristic, complemented
162C4×Dic7⋊C4C2211yescharacteristic, complemented
163C4×Dic7⋊C4C2211yescharacteristic, complemented
164#89442C2211yescharacteristic
165#89441C2211yescharacteristic
166#89440C2211yescharacteristic
167#89440C2211yescharacteristic
168#89440C2211yescharacteristic
169#89440C2211yescharacteristic
170#89439C2211yescharacteristic
171#89439C2211yescharacteristic
172#89438C2211yescharacteristic
173#89438C2211yescharacteristic
174D7×#95C2211yescharacteristic
175D7×#95C2211yescharacteristic
176#89427C2211yescharacteristic, complemented
177#89427C2211yescharacteristic, complemented
178#89426C2211yescharacteristic, complemented
179#89425C2211yescharacteristic, complemented
180#89424C2211yescharacteristic, complemented
181#89423C2211yescharacteristic, complemented
182#89423C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89420C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34426—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C23×C4×C7C2311yescharacteristic
197C23×C4×C7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C22×C22⋊D7C2311yescharacteristic
201C22×C22⋊D7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C23×Dic7C2311yescharacteristic
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×Dic14C2311yescharacteristic
214C7×#121C2×C418yescomplemented
215C4×C7×D4—42no—
216C4×C7×D4—42no—
217C4×C7×D4—42no—
218C2×C7×C4⋊C4—42no—
219C2×C7×C4⋊C4C2311yescharacteristic
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×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
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
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256#6502C2×C418yescomplemented
257#6501C2×C418yescomplemented
258#6500C2×C418yescomplemented
259#6500C2×C418yescomplemented
260#6499C2×C418yescomplemented
261#6498C2×C418yescomplemented
262#6492C2×C418yescomplemented
263C4×C22⋊D7—42no—
264C4×C22⋊D7—42no—
265C4×C22⋊D7—42no—
266C4×C22⋊D7—42no—
267C4×C22⋊D7C2×C418yescomplemented
268C2×(C2×D7)⋊C4—42no—
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×C4⋊Dic7C2311yescharacteristic
286C2×C4⋊Dic7C2311yescharacteristic
287C2×C4⋊Dic7C2311yescharacteristic
288C2×C4⋊Dic7C2311yescharacteristic
289C2×C4⋊Dic7C2311yescharacteristic
290C2×Dic7⋊C4—42no—
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×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
321C2×C4×Dic7C2311yescharacteristic
322C2×C4×Dic7C2311yescharacteristic
323#6461C2×C418yescomplemented
324#6459C2×C418yescomplemented
325D7×C4⋊C4—42no—
326#6448C2×C418yescomplemented
327(C22⋊D7)⋊C4—42no—
328(C22⋊D7)⋊C4—42no—
329(C22⋊D7)⋊C4C2×C418yescomplemented
330D7×C22⋊C4—42no—
331D7×C22⋊C4—42no—
332D7×C22⋊C4—42no—
333D7×C22⋊C4C2×C418yescomplemented
334#6442C2×C418yescomplemented
335C42×D7—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#2383—71no—
379#2383—71no—
380#2377—71no—
381#2377—71no—
382#2373—71no—
383#2373—71no—
384#2361—71no—
385#2361D711yescharacteristic, complemented
386#2358—71no—
387#2358—71no—
388#2358—71no—
389#2358—71no—
390#2353—71no—
391#2353—71no—
392D4×C4⋊C4—71no—
393D4×C4⋊C4—71no—
394#2337—71no—
395#2337—71no—
396#2335—71no—
397#2335—71no—
398#2329—71no—
399#2326—71no—
400#2326—71no—
401#2325—71no—
402#2322—71no—
403#2322—71no—
404#2315—71no—
405C4×C22⋊Q8—71no—
406C4×#121—71no—
407C2×#388—71no—
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C24×C7C2411yescharacteristic
411C23×D7—22no—
412C23×D7—22no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7—41no—
417C23×D7C22×C414yes—
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C2×C7×D4—41no—
421C2×C7×D4—41no—
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—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×C7—41no—
440C22×C4×C7—41no—
441C22×C4×C7—41no—
442C22×C4×C7—41no—
443C22×C4×C7C22×C414yes—
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
454C22×C4×C7C2411yescharacteristic
455C22×C4×C7C2411yescharacteristic
456C2×C22⋊D7—22no—
457C2×C22⋊D7—22no—
458C2×C22⋊D7—22no—
459C2×C22⋊D7—22no—
460C2×C22⋊D7—41no—
461C2×C22⋊D7—41no—
462C2×C22⋊D7—41no—
463C2×C22⋊D7—41no—
464C2×C22⋊D7C22×C414yes—
465C2×C22⋊D7C22×C414yes—
466C2×C22⋊D7C22×C414yes—
467C2×C22⋊D7C22×C414yes—
468C22×Dic7—41no—
469C22×Dic7—41no—
470C22×Dic7—41no—
471C22×Dic7—41no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7—41no—
475C22×Dic7—41no—
476C22×Dic7C22×C414yes—
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C22×Dic7C2411yescharacteristic
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C2×C4×D7—22no—
492C2×C4×D7—22no—
493C2×C4×D7—22no—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
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—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×D7C22×C414yes—
514C2×C4×D7C22×C414yes—
515C2×Dic14—41no—
516C2×Dic14—41no—
517C2×Dic14C22×C414yes—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—22no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4—41no—
523C7×C4⋊C4—41no—
524C7×C4⋊C4C22×C414yes—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—22no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4—41no—
532C7×C22⋊C4—41no—
533C7×C22⋊C4C22×C414yes—
534C7×C22⋊C4C22×C414yes—
535C42×C7—22no—
536C42×C7—22no—
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⋊Dic7—41no—
547C22⋊Dic7—41no—
548C22⋊Dic7—41no—
549C22⋊Dic7C22×C414yes—
550C22⋊Dic7C22×C414yes—
551C22⋊Dic7C22×C414yes—
552C22⋊Dic7C22×C414yes—
553C22⋊Dic7C22×C414yes—
554C22⋊Dic7C22×C414yes—
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—22no—
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—
571C4⋊Dic7—41no—
572C4⋊Dic7—41no—
573C4⋊Dic7—41no—
574C4⋊Dic7—41no—
575C4⋊Dic7C22×C414yes—
576Dic7⋊C4—22no—
577Dic7⋊C4—22no—
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×C414yes—
591Dic7⋊C4C22×C414yes—
592Dic7⋊C4C22×C414yes—
593Dic7⋊C4C22×C414yes—
594C4×Dic7—22no—
595C4×Dic7—22no—
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×Dic7C22×C414yes—
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×#121C2×D711yescharacteristic
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, complemented
633C22×C4⋊C4—71no—
634C22×C4⋊C4—71no—
635C22×C4⋊C4C2×D711yescharacteristic, complemented
636C22×C22⋊C4—71no—
637C22×C22⋊C4—71no—
638C22×C22⋊C4—71no—
639C22×C22⋊C4—71no—
640C22×C22⋊C4—71no—
641C22×C42—71no—
642#391—71no—
643#391—71no—
644#391—71no—
645#390—71no—
646#390—71no—
647#390—71no—
648#390—71no—
649#390C2×D711yescharacteristic
650#389—71no—
651#389—71no—
652#389—71no—
653#389—71no—
654#389—71no—
655#389—71no—
656#389—71no—
657#389C2×D711yescharacteristic, complemented
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#388C2×D711yescharacteristic
681#388C2×D711yescharacteristic, complemented
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#387—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#386C2×D711yescharacteristic, complemented
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#385—71no—
728#385C2×D711yescharacteristic
729#385C2×D711yescharacteristic, complemented
730#384—71no—
731#384—71no—
732#383—71no—
733#383—71no—
734#381—71no—
735#381—71no—
736#380—71no—
737#380—71no—
738#380—71no—
739#380—71no—
740#380—71no—
741#380—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, complemented
760#376—71no—
761#376—71no—
762C2×#95—71no—
763C2×#95—71no—
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×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7—21no—
778C23×C7—21no—
779C23×C7—21no—
780C23×C7—21no—
781C23×C7—21no—
782C23×C7C23×C412yes—
783C23×C7C23×C412yes—
784C23×C7C23×C412yes—
785C23×C7C2511yescharacteristic
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—82no—
800C22×D7—82no—
801C22×D7—82no—
802C22×D7—82no—
803C22×D7C23×C412yes—
804C22×D7C23×C412yes—
805C22×D7H(5,𝔽2)12yes—
806C22×D72−1+412yes—
807C7×D4—44no—
808C7×D4—44no—
809C7×D4—44no—
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—44no—
841C2×C4×C7—82no—
842C2×C4×C7—82no—
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×C7H(5,𝔽2)12yes—
850C2×C4×C7H(5,𝔽2)12yes—
851C22⋊D7—28no—
852C22⋊D7—28no—
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—44no—
892C2×Dic7—82no—
893C2×Dic7—82no—
894C2×Dic7C23×C412yes—
895C2×Dic7C23×C412yes—
896C2×Dic7C23×C412yes—
897C2×Dic7C23×C412yes—
898C2×Dic7C23×C412yes—
899C2×Dic7C23×C412yes—
900C4×D7—44no—
901C4×D7—44no—
902C4×D7—44no—
903C4×D7—44no—
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×D4C22×D711yescharacteristic
916C22×D4C22×D711yescharacteristic
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×C4—71no—
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#121C4×D718yescomplemented
944#120—78no—
945#120—78no—
946C4×Q8—282no—
947C4×D4—42no—
948C4×D4—42no—
949C4×D4—42no—
950C4×D4—78no—
951C4×D4—78no—
952C4×D4—282no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958C2×C4⋊C4—42no—
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—71no—
979C2×C4⋊C4—71no—
980C2×C4⋊C4—71no—
981C2×C4⋊C4—71no—
982C2×C4⋊C4—282no—
983C2×C4⋊C4—282no—
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C4⋊C4C22×D711yescharacteristic
986C2×C4⋊C4C22×D711yescharacteristic
987C2×C4⋊C4C22×D711yescharacteristic
988C2×C4⋊C4C22×D711yescharacteristic
989C2×C4⋊C4C22×D711yescharacteristic
990C2×C4⋊C4C22×D711yescharacteristic
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—78no—
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—282no—
1025C2×C22⋊C4—282no—
1026C2×C22⋊C4—282no—
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×C42—71no—
1039C2×C42—71no—
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—282no—
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×C7—41no—
1111C22×C7—41no—
1112C22×C7—41no—
1113C22×C7—41no—
1114C22×C7—41no—
1115C22×C7—41no—
1116C22×C7—41no—
1117C22×C7—41no—
1118C22×C7C24×C411yescharacteristic
1119C22×C7C2×H(5,𝔽2)11yescharacteristic
1120C22×C7C2×H(5,𝔽2)11yescharacteristic
1121C22×C7C2×H(5,𝔽2)11yescharacteristic
1122C22×C7C2×2−1+411yescharacteristic
1123C22×C7#58511yescharacteristic
1124C22×C7#58511yescharacteristic
1125C2×D7—22no—
1126C2×D7—22no—
1127C2×D7—22no—
1128C2×D7—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—22no—
1132C2×D7—22no—
1133C2×D7—22no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—88no—
1139C2×D7#52014yes—
1140C4×C7—22no—
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—41no—
1159Dic7—41no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166C24—71no—
1167C24—71no—
1168C24—74no—
1169C24—142no—
1170C24—142no—
1171C24—281no—
1172C24—281no—
1173C24—281no—
1174C24—281no—
1175C24C23×D711yescharacteristic
1176C24C23×D711yescharacteristic
1177C24C23×D711yescharacteristic
1178C2×Q8—74no—
1179C2×Q8—281no—
1180C2×Q8—281no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—74no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—74no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—142no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4C2×C4×D714yes—
1200C2×D4C2×C4×D714yes—
1201C2×D4C2×C4×D714yes—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—41no—
1205C22×C4—41no—
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—41no—
1215C22×C4—41no—
1216C22×C4—71no—
1217C22×C4—71no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—74no—
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—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—281no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4C2×C4×D714yes—
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—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—74no—
1283C4⋊C4—74no—
1284C4⋊C4—74no—
1285C4⋊C4—74no—
1286C4⋊C4—74no—
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⋊C4—281no—
1298C4⋊C4—281no—
1299C4⋊C4—281no—
1300C4⋊C4—281no—
1301C4⋊C4—281no—
1302C4⋊C4—281no—
1303C4⋊C4—281no—
1304C4⋊C4—281no—
1305C4⋊C4C2×C4×D714yes—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
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—74no—
1325C22⋊C4—74no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
1330C22⋊C4—142no—
1331C22⋊C4—142no—
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⋊C4C2×C4×D714yes—
1347C22⋊C4C2×C4×D714yes—
1348C42—22no—
1349C42—22no—
1350C42—41no—
1351C42—41no—
1352C42—74no—
1353C42—74no—
1354C42—142no—
1355C42—142no—
1356C42—281no—
1357C42—281no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C2×C7—42no—
1367C2×C7—42no—
1368C2×C7—42no—
1369C2×C7C2×#52011yescharacteristic
1370C2×C7C4×H(5,𝔽2)11yescharacteristic
1371C2×C7C4×H(5,𝔽2)11yescharacteristic
1372C2×C7#353511yescharacteristic
1373C2×C7#353711yescharacteristic
1374C2×C7#356011yescharacteristic
1375C2×C7#356111yescharacteristic
1376D7—24no—
1377D7—42no—
1378C23—21no—
1379C23—21no—
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—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—72no—
1397C23—72no—
1398C23—72no—
1399C23—72no—
1400C23—148no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—284no—
1412C23—284no—
1413C23—562no—
1414C23—562no—
1415C23—562no—
1416C23—562no—
1417C23C22×C4×D712yes—
1418C23C22×C4×D712yes—
1419C23C22×C4×D712yes—
1420C23C24×D711yescharacteristic
1421Q8—284no—
1422D4—44no—
1423D4—44no—
1424D4—44no—
1425D4—148no—
1426D4—148no—
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—21no—
1458C2×C4—21no—
1459C2×C4—44no—
1460C2×C4—72no—
1461C2×C4—72no—
1462C2×C4—72no—
1463C2×C4—72no—
1464C2×C4—72no—
1465C2×C4—72no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—82no—
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—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—562no—
1512C2×C4—562no—
1513C2×C4—562no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4—562no—
1517C2×C4C22×C4×D712yes—
1518C2×C4C22×C4×D712yes—
1519C2×C4C22×C4×D712yes—
1520C2×C4C22×C4×D712yes—
1521C2×C4#654812yes—
1522C2×C4#654812yes—
1523C7#3442611yescharacteristic, 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—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—74no—
1546C22—142no—
1547C22—142no—
1548C22—142no—
1549C22—142no—
1550C22—142no—
1551C22—142no—
1552C22—142no—
1553C22—142no—
1554C22—142no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—568no—
1560C22C23×C4×D711yescharacteristic
1561C22C2×#654811yescharacteristic
1562C22C2×#654811yescharacteristic
1563C22#9061611yescharacteristic
1564C22#9061611yescharacteristic
1565C22D7×H(5,𝔽2)11yescharacteristic
1566C22D7×2−1+411yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—142no—
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—42no—
1594C2—42no—
1595C2—42no—
1596C2—144no—
1597C2—282no—
1598C2C4×#654811yescharacteristic
1599C2C4×#654811yescharacteristic
1600C2D7×#52011yescharacteristic
1601C2#1174369111yescharacteristic
1602C2#1174375711yescharacteristic
1603C2#1174379911yescharacteristic
1604C2#1174398811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2361C2
socle, cosocleC23×C7C25
prime radicalC2×#90304C2
hypercenter#2361D7
hypocenterC7#34426
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. C7×#2361C2semidirect
3. #11740084C2semidirect
4. #11739843C2semidirect
5. #11739843C2semidirect
6. C4×#6501C2semidirect
7. #11739785C2semidirect
8. #11739773C2semidirect
9. #11739771C2semidirect
10. C4⋊C4×C22⋊D7C2semidirect
11. #11739603C2semidirect
12. #11733877C2semidirect
13. #11733745C2semidirect
14. #11733644C2semidirect
15. #11733439C2semidirect
16. #11733280C2semidirect
17. D7×#388C2semidirect
18. #11732931C2semidirect
19. #11732907C2semidirect
20. #11732325C2semidirect
21. #11732322C2semidirect
22. #11732128C2semidirect
23. #11732116C2semidirect
24. #11732036C2semidirect
25. #11731848C2semidirect
26. #11731838C2semidirect
27. #11731836C2semidirect
28. C4×#6459C2semidirect
29. #11731111C2semidirect
30. #11731021C2semidirect
31. #11730896C2semidirect
35. C2×C4×C7×D4C22semidirect
36. C22×C7×C4⋊C4C22semidirect
50. C22×Dic7⋊C4C22semidirect
51. #90304C4semidirect
65. C2×C4×Dic14C22semidirect
67. C7×#389C22semidirect
69. C7×#388C22semidirect
71. C7×#386C22semidirect
73. C7×#385C22semidirect
74. C4×C7×C4⋊C4C22semidirect
75. C4×C7×C22⋊C4C22semidirect
77. #89993C22semidirect
81. #89992C22semidirect
84. #89984C22semidirect
85. #89983C22semidirect
89. #89982C22semidirect
90. #89982C22semidirect
91. #89982C22semidirect
92. C4×C22⋊Dic7C22semidirect
93. C4×C22⋊Dic7C22semidirect
105. #89753C22semidirect
106. #89753C22semidirect
107. #89750C22semidirect
108. #89750C22semidirect
109. #89748C22semidirect
110. #89748C22semidirect
111. C4⋊C4×Dic7C22semidirect
112. #89746C22semidirect
113. #89745C22semidirect
114. #89744C22semidirect
115. #89744C22semidirect
116. #89744C22semidirect
117. #89744C22semidirect
118. #89744C22semidirect
128. #89723C22semidirect
130. #89722C22semidirect
132. #89718C22semidirect
136. #89717C22semidirect
140. #89716C22semidirect
141. #89716C22semidirect
142. #89716C22semidirect
143. #89716C22semidirect
144. #89716C22semidirect
145. #89715C22semidirect
146. #89714C22semidirect
149. C22⋊C4×Dic7C22semidirect
157. C4×C4⋊Dic7C22semidirect
158. #89705C22semidirect
159. #89705C22semidirect
160. #89705C22semidirect
161. #89704C22semidirect
162. C4×Dic7⋊C4C22semidirect
163. C4×Dic7⋊C4C22semidirect
176. #89427C22semidirect
177. #89427C22semidirect
178. #89426C22semidirect
179. #89425C22semidirect
180. #89424C22semidirect
181. #89423C22semidirect
182. #89423C22semidirect
183. #89421C22semidirect
184. #89420C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
214. C7×#121C2×C4semidirect
256. #6502C2×C4semidirect
257. #6501C2×C4semidirect
258. #6500C2×C4semidirect
259. #6500C2×C4semidirect
260. #6499C2×C4semidirect
261. #6498C2×C4semidirect
262. #6492C2×C4semidirect
267. C4×C22⋊D7C2×C4semidirect
323. #6461C2×C4semidirect
324. #6459C2×C4semidirect
326. #6448C2×C4semidirect
329. (C22⋊D7)⋊C4C2×C4semidirect
333. D7×C22⋊C4C2×C4semidirect
334. #6442C2×C4semidirect
385. #2361D7semidirect
632. C2×C4×D4C2×D7semidirect
635. C22×C4⋊C4C2×D7semidirect
657. #389C2×D7semidirect
681. #388C2×D7semidirect
707. #386C2×D7semidirect
729. #385C2×D7semidirect
747. C4×C4⋊C4C2×D7semidirect
759. C4×C22⋊C4C2×D7semidirect
943. #121C4×D7semidirect
1523. C7#34426semidirect

Maximal subgroups

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

subgroupindex
C2×#903042
C7×#23612
#117400842
#117398432
C4×#65012
#117397852
#117397732
#117397712
C4⋊C4×C22⋊D72
#117396032
#117338772
#117337452
#117336442
#117334392
#117332802
D7×#3882
#117329312
#117329072
#117323252
#117323222
#117321282
#117321162
#117320362
#117318482
#117318382
#117318362
C4×#64592
#117311112
#117310212
#117308962
#344267