Finite Group Databasebeta

← #13517328

Subgroups — #13517328

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×#90308C211yesmaximal, characteristic
2C7×#2364C211yesmaximal, characteristic, complemented
3#11740081C211yesmaximal, characteristic, complemented
4#11739840C211yesmaximal, characteristic, complemented
5C4×#6500C211yesmaximal, characteristic, complemented
6#11739779C211yesmaximal, characteristic, complemented
7D4×Dic7⋊C4C211yesmaximal, characteristic, complemented
8#11732938C211yesmaximal, characteristic, complemented
9#11732934C211yesmaximal, characteristic, complemented
10#11732914C211yesmaximal, characteristic, complemented
11#11732907C211yesmaximal, characteristic, complemented
12#11732425C211yesmaximal, characteristic, complemented
13#11732417C211yesmaximal, characteristic, complemented
14#11732400C211yesmaximal, characteristic, complemented
15#11732398C211yesmaximal, characteristic, complemented
16#11732320C211yesmaximal, characteristic, complemented
17#11732128C211yesmaximal, characteristic, complemented
18#11732121C211yesmaximal, characteristic, complemented
19#11732119C211yesmaximal, characteristic, complemented
20#11732118C211yesmaximal, characteristic, complemented
21#11732111C211yesmaximal, characteristic, complemented
22#11732110C211yesmaximal, characteristic, complemented
23#11732104C211yesmaximal, characteristic, complemented
24#11731012C211yesmaximal, characteristic, complemented
25#11730917C211yesmaximal, characteristic, complemented
26#11730910C211yesmaximal, characteristic, complemented
27#11730909C211yesmaximal, characteristic, complemented
28#11730897C211yesmaximal, characteristic, complemented
29#11730891C211yesmaximal, characteristic, complemented
30C2×#89440C211yesmaximal, characteristic, complemented
31#11730784C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#121C2211yescharacteristic
34C2×C4×C7×D4C2211yescharacteristic
35C2×C4×C7×D4C2211yescharacteristic
36C2×#6502C2211yescharacteristic
37C2×#6502C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×#6500C2211yescharacteristic
40C2×D4×Dic7C2211yescharacteristic
41C2×D4×Dic7C2211yescharacteristic
42C2×D4×Dic7C2211yescharacteristic
43C2×D4×Dic7C2211yescharacteristic
44C2×D4×Dic7C2211yescharacteristic, complemented
45C2×C4×C22⋊D7C2211yescharacteristic
46C2×C4×C22⋊D7C2211yescharacteristic
47C22×(C2×D7)⋊C4C2211yescharacteristic
48C22×(C2×D7)⋊C4C2211yescharacteristic
49C22×C4⋊Dic7C2211yescharacteristic
50C2×#6487C2211yescharacteristic
51C22×Dic7⋊C4C2211yescharacteristic
52C22×Dic7⋊C4C2211yescharacteristic, complemented
53#90308C4116yescomplemented
54C2×#6461C2211yescharacteristic
55C2×#6461C2211yescharacteristic
56C2×#6449C2211yescharacteristic
57C2×#6449C2211yescharacteristic
58C2×#6448C2211yescharacteristic
59C2×#6448C2211yescharacteristic
60C2×(C22⋊D7)⋊C4C2211yescharacteristic
61C2×(C22⋊D7)⋊C4C2211yescharacteristic
62C2×#6440C2211yescharacteristic, complemented
63C2×C4×Dic14C2211yescharacteristic, complemented
64C7×#388C2211yescharacteristic, complemented
65C7×#388C2211yescharacteristic, complemented
66C7×#387C2211yescharacteristic, complemented
67C7×#387C2211yescharacteristic, complemented
68C7×#386C2211yescharacteristic
69C7×#386C2211yescharacteristic
70C7×#386C2211yescharacteristic, complemented
71C7×#386C2211yescharacteristic, complemented
72C4×C7×C22⋊C4C2211yescharacteristic
73C4×C7×C22⋊C4C2211yescharacteristic, complemented
74C4×C7×C22⋊C4C2211yescharacteristic, complemented
75C2×C7×#95C2211yescharacteristic
76#89993C2211yescharacteristic, complemented
77#89992C2211yescharacteristic
78#89992C2211yescharacteristic
79#89985C2211yescharacteristic
80#89985C2211yescharacteristic
81#89982C2211yescharacteristic
82#89982C2211yescharacteristic
83#89982C2211yescharacteristic, complemented
84#89982C2211yescharacteristic, complemented
85C4×C22⋊Dic7C2211yescharacteristic
86C4×C22⋊Dic7C2211yescharacteristic
87C4×C22⋊Dic7C2211yescharacteristic
88C2×C7⋊#95C2211yescharacteristic
89C2×C7⋊#95C2211yescharacteristic, complemented
90#89762C2211yescharacteristic
91#89762C2211yescharacteristic
92#89761C2211yescharacteristic
93#89761C2211yescharacteristic
94#89757C2211yescharacteristic, complemented
95#89749C2211yescharacteristic, complemented
96#89748C2211yescharacteristic, complemented
97C4⋊C4×Dic7C2211yescharacteristic, complemented
98#89745C2211yescharacteristic, complemented
99#89745C2211yescharacteristic, complemented
100#89730C2211yescharacteristic
101#89730C2211yescharacteristic
102#89729C2211yescharacteristic
103#89729C2211yescharacteristic
104#89729C2211yescharacteristic
105#89729C2211yescharacteristic
106#89728C2211yescharacteristic
107#89728C2211yescharacteristic
108#89728C2211yescharacteristic
109#89728C2211yescharacteristic
110#89727C2211yescharacteristic
111#89727C2211yescharacteristic
112#89723C2211yescharacteristic, complemented
113#89723C2211yescharacteristic, complemented
114#89722C2211yescharacteristic, complemented
115#89722C2211yescharacteristic, complemented
116#89718C2211yescharacteristic
117#89718C2211yescharacteristic
118#89718C2211yescharacteristic, complemented
119#89718C2211yescharacteristic, complemented
120#89717C2211yescharacteristic, complemented
121#89717C2211yescharacteristic, complemented
122#89716C2211yescharacteristic, complemented
123#89716C2211yescharacteristic, complemented
124#89715C2211yescharacteristic, complemented
125#89714C2211yescharacteristic
126#89714C2211yescharacteristic
127#89714C2211yescharacteristic, complemented
128#89714C2211yescharacteristic, complemented
129#89714C2211yescharacteristic, complemented
130C22⋊C4×Dic7C2211yescharacteristic
131C22⋊C4×Dic7C2211yescharacteristic
132C22⋊C4×Dic7C2211yescharacteristic, complemented
133#89712C2211yescharacteristic
134#89712C2211yescharacteristic
135#89712C2211yescharacteristic
136#89712C2211yescharacteristic
137#89712C2211yescharacteristic
138#89712C2211yescharacteristic
139C4×(C2×D7)⋊C4C2211yescharacteristic
140C4×(C2×D7)⋊C4C2211yescharacteristic
141C4×C4⋊Dic7C2211yescharacteristic, complemented
142C4×Dic7⋊C4C2211yescharacteristic, complemented
143C4×Dic7⋊C4C2211yescharacteristic, complemented
144#89701C2211yescharacteristic, complemented
145#89700C2211yescharacteristic, complemented
146#89700C2211yescharacteristic, complemented
147#89700C2211yescharacteristic, complemented
148#89442C2211yescharacteristic
149#89442C2211yescharacteristic
150#89441C2211yescharacteristic
151#89441C2211yescharacteristic
152#89441C2211yescharacteristic
153#89441C2211yescharacteristic
154#89441C2211yescharacteristic
155#89441C2211yescharacteristic
156#89440C2211yescharacteristic
157#89440C2211yescharacteristic
158#89440C2211yescharacteristic
159#89440C2211yescharacteristic
160#89440C2211yescharacteristic
161#89440C2211yescharacteristic
162#89440C2211yescharacteristic
163#89440C2211yescharacteristic
164#89440C2211yescharacteristic
165#89440C2211yescharacteristic
166#89438C2211yescharacteristic
167#89438C2211yescharacteristic
168#89427C2211yescharacteristic, complemented
169#89427C2211yescharacteristic, complemented
170#89426C2211yescharacteristic, complemented
171#89426C2211yescharacteristic, complemented
172#89425C2211yescharacteristic, complemented
173#89425C2211yescharacteristic, complemented
174#89425C2211yescharacteristic, complemented
175#89425C2211yescharacteristic, complemented
176#89424C2211yescharacteristic, complemented
177#89424C2211yescharacteristic, complemented
178#89423C2211yescharacteristic, complemented
179#89422C2211yescharacteristic, complemented
180#89421C2211yescharacteristic, 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
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
205C23×Dic7C2311yescharacteristic
206C23×Dic7C2311yescharacteristic
207C23×Dic7C2311yescharacteristic
208C23×Dic7C2311yescharacteristic
209C22×C4×D7—42no—
210C22×C4×D7—42no—
211C22×C4×D7—42no—
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C7×#121C2×C418yescomplemented
218C4×C7×D4—42no—
219C4×C7×D4—42no—
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C4⋊C4C2311yescharacteristic
222C2×C7×C4⋊C4C2311yescharacteristic
223C2×C7×C22⋊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×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C22⋊Dic7C2311yescharacteristic
238C2×C22⋊Dic7C2311yescharacteristic
239C2×C22⋊Dic7C2311yescharacteristic
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
249#6502C2×C418yescomplemented
250#6502C2×C418yescomplemented
251#6500C2×C418yescomplemented
252#6500C2×C418yescomplemented
253D4×Dic7—42no—
254D4×Dic7—42no—
255D4×Dic7—42no—
256D4×Dic7C2×C418yescomplemented
257D4×Dic7C2×C418yescomplemented
258C4×C22⋊D7—42no—
259C4×C22⋊D7—42no—
260C2×(C2×D7)⋊C4—42no—
261C2×(C2×D7)⋊C4C2×C418yescomplemented
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×C4⋊Dic7—42no—
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
292#6487C2×C418yescomplemented
293C2×Dic7⋊C4—42no—
294C2×Dic7⋊C4—42no—
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×Dic7⋊C4C2311yescharacteristic
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#6461C2×C418yescomplemented
328#6461C2×C418yescomplemented
329#6449C2×C418yescomplemented
330#6449C2×C418yescomplemented
331#6448C2×C418yescomplemented
332#6448C2×C418yescomplemented
333(C22⋊D7)⋊C4—42no—
334(C22⋊D7)⋊C4—42no—
335#6440—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#2379—71no—
380#2377—71no—
381#2376—71no—
382#2373—71no—
383#2368—71no—
384#2367—71no—
385#2364D711yescharacteristic, complemented
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×#120—71no—
407C2×#385—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—22no—
421C2×C7×D4—22no—
422C2×C7×D4—22no—
423C2×C7×D4—22no—
424C2×C7×D4—41no—
425C2×C7×D4—41no—
426C2×C7×D4C22×C414yes—
427C2×C7×D4C22×C414yes—
428C2×C7×D4C22×C414yescomplemented
429C22×C4×C7—22no—
430C22×C4×C7—22no—
431C22×C4×C7—22no—
432C22×C4×C7—22no—
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—41no—
457C2×C22⋊D7—41no—
458C2×C22⋊D7—41no—
459C2×C22⋊D7—41no—
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—22no—
469C22×Dic7—22no—
470C22×Dic7—22no—
471C22×Dic7—22no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7—41no—
475C22×Dic7—41no—
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×Dic7C22×C414yes—
487C22×Dic7C22×C414yescomplemented
488C22×Dic7C22×C414yescomplemented
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C22×Dic7C2411yescharacteristic
502C22×Dic7C2411yescharacteristic
503C2×C4×D7—22no—
504C2×C4×D7—22no—
505C2×C4×D7—22no—
506C2×C4×D7—22no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—416no—
516C2×Dic14—41no—
517C2×Dic14—41no—
518C2×Dic14C22×C414yescomplemented
519C7×C4⋊C4—41no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4C22×C414yescomplemented
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⋊C4C22×C414yescomplemented
531C7×C22⋊C4C22×C414yescomplemented
532C42×C7—41no—
533C42×C7—41no—
534C42×C7—41no—
535C42×C7—41no—
536C22⋊Dic7—22no—
537C22⋊Dic7—22no—
538C22⋊Dic7—22no—
539C22⋊Dic7—41no—
540C22⋊Dic7—41no—
541C22⋊Dic7—41no—
542C22⋊Dic7—41no—
543C22⋊Dic7—41no—
544C22⋊Dic7C22×C414yes—
545C22⋊Dic7C22×C414yes—
546C22⋊Dic7C22×C414yescomplemented
547C22⋊Dic7C22×C414yescomplemented
548(C2×D7)⋊C4—41no—
549(C2×D7)⋊C4—41no—
550(C2×D7)⋊C4—41no—
551(C2×D7)⋊C4—41no—
552(C2×D7)⋊C4—41no—
553(C2×D7)⋊C4—41no—
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)⋊C4C22×C414yes—
561(C2×D7)⋊C4C22×C414yes—
562(C2×D7)⋊C4C22×C414yes—
563(C2×D7)⋊C4C22×C414yes—
564(C2×D7)⋊C4C22×C414yes—
565(C2×D7)⋊C4C22×C414yes—
566(C2×D7)⋊C4C22×C414yes—
567(C2×D7)⋊C4C22×C414yes—
568C4⋊Dic7—22no—
569C4⋊Dic7—22no—
570C4⋊Dic7—41no—
571C4⋊Dic7—41no—
572C4⋊Dic7—41no—
573C4⋊Dic7—41no—
574C4⋊Dic7C22×C414yescomplemented
575C4⋊Dic7C22×C414yescomplemented
576C4⋊Dic7C22×C414yescomplemented
577Dic7⋊C4—22no—
578Dic7⋊C4—22no—
579Dic7⋊C4—22no—
580Dic7⋊C4—22no—
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⋊C4—41no—
591Dic7⋊C4—41no—
592Dic7⋊C4—41no—
593Dic7⋊C4C22×C414yescomplemented
594Dic7⋊C4C22×C414yescomplemented
595C4×Dic7—22no—
596C4×Dic7—22no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C4×Dic7—41no—
606C4×Dic7—41no—
607C4×Dic7C22×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×#123—71no—
617C2×C22⋊Q8—71no—
618C2×#121—71no—
619C2×#121—71no—
620C2×#121C2×D711yescharacteristic
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×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#388C2×D711yescharacteristic, complemented
680#388C2×D711yescharacteristic, complemented
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#386C2×D711yescharacteristic
704#386C2×D711yescharacteristic
705#386C2×D711yescharacteristic, complemented
706#386C2×D711yescharacteristic, complemented
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#385—71no—
728#385—71no—
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⋊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, complemented
760C4×C22⋊C4C2×D711yescharacteristic, complemented
761#376—71no—
762C2×#95—71no—
763C2×#95—71no—
764C2×#95C2×D711yescharacteristic
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×C7C23×C412yes—
782C23×C7C23×C412yes—
783C23×C7C23×C412yes—
784C23×C7H(5,𝔽2)12yes—
785C23×C72−1+412yes—
786C23×C7C2511yescharacteristic
787C22×D7—28no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7—44no—
804C22×D7—44no—
805C22×D7—44no—
806C22×D7C23×C412yes—
807C22×D7C23×C412yes—
808C7×D4—28no—
809C7×D4—28no—
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—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—44no—
843C2×C4×C7—44no—
844C2×C4×C7—82no—
845C2×C4×C7—82no—
846C2×C4×C7—82no—
847C2×C4×C7C23×C412yes—
848C2×C4×C7C23×C412yes—
849C2×C4×C7C23×C412yes—
850C2×C4×C7C23×C412yes—
851C2×C4×C7H(5,𝔽2)12yes—
852C22⋊D7—44no—
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—21no—
891C2×Dic7—44no—
892C2×Dic7—44no—
893C2×Dic7—44no—
894C2×Dic7—44no—
895C2×Dic7—82no—
896C2×Dic7—82no—
897C2×Dic7—82no—
898C2×Dic7C23×C412yes—
899C2×Dic7C23×C412yes—
900C2×Dic7C23×C412yes—
901C2×Dic7C23×C412yes—
902C2×Dic7C23×C412yes—
903C2×Dic7C23×C412yes—
904C2×Dic7H(5,𝔽2)12yes—
905C4×D7—44no—
906C4×D7—44no—
907C4×D7—44no—
908C4×D7—44no—
909Dic14—44no—
910C25—71no—
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—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—282no—
931C23×C4—282no—
932C23×C4—282no—
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#121C4×D718yescomplemented
948#120—78no—
949#120—78no—
950C4×Q8—282no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—78no—
954C4×D4—78no—
955C4×D4—282no—
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—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—78no—
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—71no—
1028C2×C22⋊C4—71no—
1029C2×C22⋊C4—282no—
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×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—22no—
1105C22×C7—22no—
1106C22×C7—22no—
1107C22×C7—22no—
1108C22×C7—22no—
1109C22×C7—22no—
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×C7#52014yes—
1119C22×C7C24×C411yescharacteristic
1120C22×C7C2×H(5,𝔽2)11yescharacteristic
1121C22×C7C2×H(5,𝔽2)11yescharacteristic
1122C22×C7C2×H(5,𝔽2)11yescharacteristic
1123C22×C7C2×2−1+411yescharacteristic
1124C22×C7#58511yescharacteristic
1125C22×C7#58511yescharacteristic
1126C2×D7—22no—
1127C2×D7—22no—
1128C2×D7—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—22no—
1132C2×D7—416no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
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—
1152C4×C7—41no—
1153Dic7—22no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—22no—
1159Dic7—22no—
1160Dic7—41no—
1161Dic7—41no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167C24—71no—
1168C24—71no—
1169C24—74no—
1170C24—142no—
1171C24—142no—
1172C24—281no—
1173C24—281no—
1174C24—281no—
1175C24—281no—
1176C24C23×D711yescharacteristic
1177C24C23×D711yescharacteristic
1178C24C23×D711yescharacteristic
1179C2×Q8—74no—
1180C2×Q8—281no—
1181C2×Q8—281no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—74no—
1191C2×D4—74no—
1192C2×D4—281no—
1193C2×D4—281no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4—281no—
1200C2×D4C2×C4×D714yes—
1201C2×D4C2×C4×D714yes—
1202C2×D4C2×C4×D714yescomplemented
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
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—41no—
1217C22×C4—71no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—74no—
1225C22×C4—74no—
1226C22×C4—74no—
1227C22×C4—71no—
1228C22×C4—71no—
1229C22×C4—71no—
1230C22×C4—71no—
1231C22×C4—71no—
1232C22×C4—71no—
1233C22×C4—71no—
1234C22×C4—142no—
1235C22×C4—142no—
1236C22×C4—142no—
1237C22×C4—142no—
1238C22×C4—142no—
1239C22×C4—142no—
1240C22×C4—142no—
1241C22×C4—142no—
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—2816no—
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×C4C2×C4×D714yes—
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—41no—
1279C4⋊C4—41no—
1280C4⋊C4—74no—
1281C4⋊C4—74no—
1282C4⋊C4—74no—
1283C4⋊C4—74no—
1284C4⋊C4—74no—
1285C4⋊C4—142no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
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⋊C4—281no—
1307C4⋊C4C2×C4×D714yescomplemented
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—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—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⋊C4—281no—
1348C22⋊C4C2×C4×D714yescomplemented
1349C22⋊C4C2×C4×D714yescomplemented
1350C42—41no—
1351C42—41no—
1352C42—41no—
1353C42—41no—
1354C42—74no—
1355C42—74no—
1356C42—142no—
1357C42—142no—
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×C7C2×#52011yescharacteristic
1372C2×C7C4×H(5,𝔽2)11yescharacteristic
1373C2×C7C4×H(5,𝔽2)11yescharacteristic
1374C2×C7#353211yescharacteristic
1375C2×C7#353311yescharacteristic
1376C2×C7#354111yescharacteristic
1377C2×C7#354111yescharacteristic
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—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—72no—
1397C23—72no—
1398C23—148no—
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—284no—
1412C23—284no—
1413C23—284no—
1414C23—284no—
1415C23—284no—
1416C23—284no—
1417C23C22×C4×D712yes—
1418C23C22×C4×D712yes—
1419C23C22×C4×D712yes—
1420C23#654812yes—
1421C23#655412yes—
1422C23C24×D711yescharacteristic
1423Q8—284no—
1424D4—28no—
1425D4—28no—
1426D4—44no—
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—44no—
1463C2×C4—44no—
1464C2×C4—72no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—72no—
1468C2×C4—72no—
1469C2×C4—72no—
1470C2×C4—72no—
1471C2×C4—82no—
1472C2×C4—82no—
1473C2×C4—82no—
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—284no—
1510C2×C4—284no—
1511C2×C4—284no—
1512C2×C4—284no—
1513C2×C4—284no—
1514C2×C4—284no—
1515C2×C4—284no—
1516C2×C4—284no—
1517C2×C4—562no—
1518C2×C4—562no—
1519C2×C4—562no—
1520C2×C4C22×C4×D712yes—
1521C2×C4C22×C4×D712yes—
1522C2×C4C22×C4×D712yes—
1523C2×C4C22×C4×D712yes—
1524C2×C4#655312yes—
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—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—142no—
1547C22—142no—
1548C22—142no—
1549C22—142no—
1550C22—142no—
1551C22—142no—
1552C22—2816no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22#9023714yes—
1562C22C23×C4×D711yescharacteristic
1563C22C2×#654811yescharacteristic
1564C22C2×#655311yescharacteristic
1565C22C2×#655411yescharacteristic
1566C22#9061611yescharacteristic
1567C22D7×H(5,𝔽2)11yescharacteristic
1568C22#9061811yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—142no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—142no—
1588C4—281no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C4—281no—
1594C4—281no—
1595C2—24no—
1596C2—42no—
1597C2—42no—
1598C2—282no—
1599C2—282no—
1600C2C2×#9023711yescharacteristic
1601C2C4×#655311yescharacteristic
1602C2#1174292511yescharacteristic
1603C2#1174373511yescharacteristic
1604C2#1174373611yescharacteristic
1605C2#1174396111yescharacteristic
1606C2#1174396211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2364C2
socle, cosocleC23×C7C25
prime radicalC2×#90308C2
hypercenter#2364D7
hypocenterC7#34416
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2364

Complements

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

NH ≅ G/Ntype
2. C7×#2364C2semidirect
3. #11740081C2semidirect
4. #11739840C2semidirect
5. C4×#6500C2semidirect
6. #11739779C2semidirect
7. D4×Dic7⋊C4C2semidirect
8. #11732938C2semidirect
9. #11732934C2semidirect
10. #11732914C2semidirect
11. #11732907C2semidirect
12. #11732425C2semidirect
13. #11732417C2semidirect
14. #11732400C2semidirect
15. #11732398C2semidirect
16. #11732320C2semidirect
17. #11732128C2semidirect
18. #11732121C2semidirect
19. #11732119C2semidirect
20. #11732118C2semidirect
21. #11732111C2semidirect
22. #11732110C2semidirect
23. #11732104C2semidirect
24. #11731012C2semidirect
25. #11730917C2semidirect
26. #11730910C2semidirect
27. #11730909C2semidirect
28. #11730897C2semidirect
29. #11730891C2semidirect
30. C2×#89440C2semidirect
31. #11730784C2semidirect
44. C2×D4×Dic7C22semidirect
52. C22×Dic7⋊C4C22semidirect
53. #90308C4semidirect
62. C2×#6440C22semidirect
63. C2×C4×Dic14C22semidirect
64. C7×#388C22semidirect
65. C7×#388C22semidirect
66. C7×#387C22semidirect
67. C7×#387C22semidirect
70. C7×#386C22semidirect
71. C7×#386C22semidirect
73. C4×C7×C22⋊C4C22semidirect
74. C4×C7×C22⋊C4C22semidirect
76. #89993C22semidirect
83. #89982C22semidirect
84. #89982C22semidirect
89. C2×C7⋊#95C22semidirect
94. #89757C22semidirect
95. #89749C22semidirect
96. #89748C22semidirect
97. C4⋊C4×Dic7C22semidirect
98. #89745C22semidirect
99. #89745C22semidirect
112. #89723C22semidirect
113. #89723C22semidirect
114. #89722C22semidirect
115. #89722C22semidirect
118. #89718C22semidirect
119. #89718C22semidirect
120. #89717C22semidirect
121. #89717C22semidirect
122. #89716C22semidirect
123. #89716C22semidirect
124. #89715C22semidirect
127. #89714C22semidirect
128. #89714C22semidirect
129. #89714C22semidirect
132. C22⋊C4×Dic7C22semidirect
141. C4×C4⋊Dic7C22semidirect
142. C4×Dic7⋊C4C22semidirect
143. C4×Dic7⋊C4C22semidirect
144. #89701C22semidirect
145. #89700C22semidirect
146. #89700C22semidirect
147. #89700C22semidirect
168. #89427C22semidirect
169. #89427C22semidirect
170. #89426C22semidirect
171. #89426C22semidirect
172. #89425C22semidirect
173. #89425C22semidirect
174. #89425C22semidirect
175. #89425C22semidirect
176. #89424C22semidirect
177. #89424C22semidirect
178. #89423C22semidirect
179. #89422C22semidirect
180. #89421C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89420C22semidirect
184. #89419C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
217. C7×#121C2×C4semidirect
249. #6502C2×C4semidirect
250. #6502C2×C4semidirect
251. #6500C2×C4semidirect
252. #6500C2×C4semidirect
256. D4×Dic7C2×C4semidirect
257. D4×Dic7C2×C4semidirect
261. C2×(C2×D7)⋊C4C2×C4semidirect
292. #6487C2×C4semidirect
327. #6461C2×C4semidirect
328. #6461C2×C4semidirect
329. #6449C2×C4semidirect
330. #6449C2×C4semidirect
331. #6448C2×C4semidirect
332. #6448C2×C4semidirect
385. #2364D7semidirect
428. C2×C7×D4C22×C4semidirect
487. C22×Dic7C22×C4semidirect
488. C22×Dic7C22×C4semidirect
518. C2×Dic14C22×C4semidirect
521. C7×C4⋊C4C22×C4semidirect
530. C7×C22⋊C4C22×C4semidirect
531. C7×C22⋊C4C22×C4semidirect
546. C22⋊Dic7C22×C4semidirect
547. C22⋊Dic7C22×C4semidirect
574. C4⋊Dic7C22×C4semidirect
575. C4⋊Dic7C22×C4semidirect
576. C4⋊Dic7C22×C4semidirect
593. Dic7⋊C4C22×C4semidirect
594. Dic7⋊C4C22×C4semidirect
607. C4×Dic7C22×C4semidirect
608. C4×Dic7C22×C4semidirect
679. #388C2×D7semidirect
680. #388C2×D7semidirect
691. #387C2×D7semidirect
692. #387C2×D7semidirect
705. #386C2×D7semidirect
706. #386C2×D7semidirect
759. C4×C22⋊C4C2×D7semidirect
760. C4×C22⋊C4C2×D7semidirect
947. #121C4×D7semidirect
1202. C2×D4C2×C4×D7semidirect
1307. C4⋊C4C2×C4×D7semidirect
1348. C22⋊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×#903082
C7×#23642
#117400812
#117398402
C4×#65002
#117397792
D4×Dic7⋊C42
#117329382
#117329342
#117329142
#117329072
#117324252
#117324172
#117324002
#117323982
#117323202
#117321282
#117321212
#117321192
#117321182
#117321112
#117321102
#117321042
#117310122
#117309172
#117309102
#117309092
#117308972
#117308912
C2×#894402
#117307842
#344167