Finite Group Databasebeta

← #13515240

Subgroups — #13515240

Order 1792.

2546 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90251C211yesmaximal, characteristic
2C7×#2290C211yesmaximal, characteristic, complemented
3#11739762C211yesmaximal, characteristic, complemented
4#11739689C211yesmaximal, characteristic, complemented
5#11739687C211yesmaximal, characteristic, complemented
6C2×#89712C211yesmaximal, characteristic, complemented
7C42×C22⋊D7C211yesmaximal, characteristic, complemented
8#11733275C211yesmaximal, characteristic, complemented
9#11732916C211yesmaximal, characteristic, complemented
10#11732899C211yesmaximal, characteristic, complemented
11#11732897C211yesmaximal, characteristic, complemented
12#11732747C211yesmaximal, characteristic, complemented
13#11732398C211yesmaximal, characteristic, complemented
14#11732387C211yesmaximal, characteristic, complemented
15#11732385C211yesmaximal, characteristic, complemented
16#11732324C211yesmaximal, characteristic, complemented
17#11732324C211yesmaximal, characteristic, complemented
18#11732123C211yesmaximal, characteristic, complemented
19#11732121C211yesmaximal, characteristic, complemented
20#11732041C211yesmaximal, characteristic, complemented
21#11732041C211yesmaximal, characteristic, complemented
22#11731844C211yesmaximal, characteristic, complemented
23#11731841C211yesmaximal, characteristic, complemented
24#11731109C211yesmaximal, characteristic, complemented
25#11731099C211yesmaximal, characteristic, complemented
26#11731013C211yesmaximal, characteristic, complemented
27#11731005C211yesmaximal, characteristic, complemented
28#11730923C211yesmaximal, characteristic, complemented
29#11730916C211yesmaximal, characteristic, complemented
30#11730841C211yesmaximal, characteristic, complemented
31#11730840C211yesmaximal, characteristic, complemented
32C2×C4×C7×D4C2211yescharacteristic
33C2×C7×#117C2211yescharacteristic, complemented
34C22×C42×C7C2211yescharacteristic
35C2×#6502C2211yescharacteristic
36C2×#6500C2211yescharacteristic
37C2×D4×Dic7C2211yescharacteristic
38C2×D4×Dic7C2211yescharacteristic
39C2×#6493C2211yescharacteristic
40C2×#6492C2211yescharacteristic
41C2×C4×C22⋊D7C2211yescharacteristic
42C2×C4×C22⋊D7C2211yescharacteristic
43C2×C4×C22⋊D7C2211yescharacteristic
44C22×(C2×D7)⋊C4C2211yescharacteristic
45C22×(C2×D7)⋊C4C2211yescharacteristic
46C22×(C2×D7)⋊C4C2211yescharacteristic
47C22×Dic7⋊C4C2211yescharacteristic
48#90251C4116yescomplemented
49C2×#6461C2211yescharacteristic
50C2×#6457C2211yescharacteristic
51C2×#6456C2211yescharacteristic
52C2×#6456C2211yescharacteristic
53C2×#6450C2211yescharacteristic, complemented
54C2×#6448C2211yescharacteristic
55C2×#6447C2211yescharacteristic
56C2×#6445C2211yescharacteristic
57C2×(C22⋊D7)⋊C4C2211yescharacteristic
58C2×(C22⋊D7)⋊C4C2211yescharacteristic
59C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
60C2×D7×C22⋊C4C2211yescharacteristic
61C2×D7×C22⋊C4C2211yescharacteristic
62C2×#6441C2211yescharacteristic
63C2×#6439C2211yescharacteristic
64C2×#6438C2211yescharacteristic
65C2×C42×D7C2211yescharacteristic, complemented
66C7×#388C2211yescharacteristic, complemented
67C7×#388C2211yescharacteristic, complemented
68C7×#387C2211yescharacteristic, complemented
69C7×#387C2211yescharacteristic, complemented
70C7×#386C2211yescharacteristic
71C7×#386C2211yescharacteristic
72C7×#385C2211yescharacteristic
73C7×#385C2211yescharacteristic
74C4×C7×C4⋊C4C2211yescharacteristic, complemented
75C4×C7×C22⋊C4C2211yescharacteristic
76C4×C7×C22⋊C4C2211yescharacteristic, complemented
77C7×#376C2211yescharacteristic, complemented
78C4×C22⋊Dic7C2211yescharacteristic
79C4×C22⋊Dic7C2211yescharacteristic
80C4×C22⋊Dic7C2211yescharacteristic
81C4×C22⋊Dic7C2211yescharacteristic, complemented
82C2×C7⋊#95C2211yescharacteristic
83C2×C7⋊#95C2211yescharacteristic
84C2×C7⋊#95C2211yescharacteristic, complemented
85#89762C2211yescharacteristic
86#89762C2211yescharacteristic
87#89761C2211yescharacteristic
88#89761C2211yescharacteristic
89#89760C2211yescharacteristic
90#89760C2211yescharacteristic
91#89750C2211yescharacteristic, complemented
92#89750C2211yescharacteristic, complemented
93C4⋊C4×Dic7C2211yescharacteristic, complemented
94C4⋊C4×Dic7C2211yescharacteristic, complemented
95C4⋊C4×Dic7C2211yescharacteristic, complemented
96#89746C2211yescharacteristic, complemented
97#89745C2211yescharacteristic, complemented
98#89744C2211yescharacteristic, complemented
99#89744C2211yescharacteristic, complemented
100#89730C2211yescharacteristic
101#89730C2211yescharacteristic
102#89730C2211yescharacteristic
103#89730C2211yescharacteristic
104#89730C2211yescharacteristic, complemented
105#89729C2211yescharacteristic
106#89729C2211yescharacteristic
107#89729C2211yescharacteristic, complemented
108#89728C2211yescharacteristic
109#89728C2211yescharacteristic
110#89728C2211yescharacteristic, complemented
111#89718C2211yescharacteristic
112#89718C2211yescharacteristic
113#89718C2211yescharacteristic, complemented
114#89717C2211yescharacteristic, complemented
115#89716C2211yescharacteristic, complemented
116C22⋊C4×Dic7C2211yescharacteristic
117C22⋊C4×Dic7C2211yescharacteristic
118C22⋊C4×Dic7C2211yescharacteristic
119C22⋊C4×Dic7C2211yescharacteristic
120C22⋊C4×Dic7C2211yescharacteristic, complemented
121C22⋊C4×Dic7C2211yescharacteristic, complemented
122C22⋊C4×Dic7C2211yescharacteristic, complemented
123#89712C2211yescharacteristic
124#89712C2211yescharacteristic
125#89712C2211yescharacteristic
126#89712C2211yescharacteristic
127#89712C2211yescharacteristic
128#89712C2211yescharacteristic
129#89712C2211yescharacteristic
130#89712C2211yescharacteristic
131#89712C2211yescharacteristic, complemented
132#89712C2211yescharacteristic, complemented
133C4×(C2×D7)⋊C4C2211yescharacteristic
134C4×(C2×D7)⋊C4C2211yescharacteristic
135C4×(C2×D7)⋊C4C2211yescharacteristic
136C4×(C2×D7)⋊C4C2211yescharacteristic
137C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
138C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
139C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
140C4×C4⋊Dic7C2211yescharacteristic, complemented
141#89705C2211yescharacteristic, complemented
142#89705C2211yescharacteristic, complemented
143#89704C2211yescharacteristic, complemented
144C4×Dic7⋊C4C2211yescharacteristic, complemented
145C4×Dic7⋊C4C2211yescharacteristic, complemented
146C4×Dic7⋊C4C2211yescharacteristic, complemented
147C42×Dic7C2211yescharacteristic, complemented
148#89442C2211yescharacteristic
149#89442C2211yescharacteristic
150#89442C2211yescharacteristic, complemented
151#89441C2211yescharacteristic
152#89441C2211yescharacteristic
153#89441C2211yescharacteristic
154#89441C2211yescharacteristic
155#89441C2211yescharacteristic, complemented
156#89440C2211yescharacteristic
157#89440C2211yescharacteristic
158#89440C2211yescharacteristic, complemented
159#89439C2211yescharacteristic, complemented
160#89438C2211yescharacteristic
161#89438C2211yescharacteristic
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic
164#89438C2211yescharacteristic
165#89438C2211yescharacteristic
166#89438C2211yescharacteristic
167#89438C2211yescharacteristic
168#89438C2211yescharacteristic, complemented
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89436C2211yescharacteristic, complemented
174#89427C2211yescharacteristic, complemented
175#89425C2211yescharacteristic, complemented
176#89425C2211yescharacteristic, complemented
177#89424C2211yescharacteristic, complemented
178#89424C2211yescharacteristic, complemented
179#89424C2211yescharacteristic, complemented
180#89423C2211yescharacteristic, complemented
181#89422C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89419C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34283—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C23×Dic7C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×Dic14C2311yescharacteristic
214C4×C7×D4C2×C418yescomplemented
215C7×#117—42no—
216C2×C7×C4⋊C4C2311yescharacteristic
217C2×C7×C4⋊C4C2311yescharacteristic
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
220C2×C7×C4⋊C4C2311yescharacteristic
221C2×C7×C22⋊C4C2311yescharacteristic
222C2×C7×C22⋊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×C42×C7—42no—
230C2×C42×C7C2311yescharacteristic
231C2×C42×C7C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
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
243#6502C2×C418yescomplemented
244#6500C2×C418yescomplemented
245D4×Dic7—24no—
246D4×Dic7—24no—
247#6493C2×C418yescomplemented
248#6492C2×C418yescomplemented
249C4×C22⋊D7—24no—
250C4×C22⋊D7—24no—
251C4×C22⋊D7C2×C418yescomplemented
252C2×(C2×D7)⋊C4—42no—
253C2×(C2×D7)⋊C4—42no—
254C2×(C2×D7)⋊C4C2×C418yescomplemented
255C2×(C2×D7)⋊C4C2311yescharacteristic
256C2×(C2×D7)⋊C4C2311yescharacteristic
257C2×(C2×D7)⋊C4C2311yescharacteristic
258C2×(C2×D7)⋊C4C2311yescharacteristic
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×Dic7⋊C4—42no—
287C2×Dic7⋊C4C2311yescharacteristic
288C2×Dic7⋊C4C2311yescharacteristic
289C2×Dic7⋊C4C2311yescharacteristic
290C2×Dic7⋊C4C2311yescharacteristic
291C2×Dic7⋊C4C2311yescharacteristic
292C2×Dic7⋊C4C2311yescharacteristic
293C2×Dic7⋊C4C2311yescharacteristic
294C2×Dic7⋊C4C2311yescharacteristic
295C2×Dic7⋊C4C2311yescharacteristic
296C2×Dic7⋊C4C2311yescharacteristic
297C2×Dic7⋊C4C2311yescharacteristic
298C2×Dic7⋊C4C2311yescharacteristic
299C2×Dic7⋊C4C2311yescharacteristic
300C2×Dic7⋊C4C2311yescharacteristic
301C2×C4×Dic7C2311yescharacteristic
302C2×C4×Dic7C2311yescharacteristic
303C2×C4×Dic7C2311yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C2×C4×Dic7C2311yescharacteristic
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
319C2×C4×Dic7C2311yescharacteristic
320#6461C2×C418yescomplemented
321#6457C2×C418yescomplemented
322#6456—42no—
323#6456—42no—
324#6450—42no—
325#6448C2×C418yescomplemented
326#6447C2×C418yescomplemented
327#6445C2×C418yescomplemented
328(C22⋊D7)⋊C4—42no—
329(C22⋊D7)⋊C4—42no—
330(C22⋊D7)⋊C4—42no—
331D7×C22⋊C4—24no—
332D7×C22⋊C4—24no—
333#6441C2×C418yescomplemented
334#6439C2×C418yescomplemented
335#6438C2×C418yescomplemented
336C42×D7—42no—
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7×#95C2311yescharacteristic
343C7×#95C2311yescharacteristic
344C7×#95C2311yescharacteristic
345C7×#95C2311yescharacteristic
346C7×#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C2×#538—71no—
378#2374—71no—
379#2373—71no—
380#2373—71no—
381#2372—71no—
382#2368—71no—
383#2367—71no—
384#2364—71no—
385#2364—71no—
386#2363—71no—
387#2361—71no—
388#2360—71no—
389#2359—71no—
390#2358—71no—
391#2358—71no—
392#2358—71no—
393#2358—71no—
394#2337—71no—
395#2335—71no—
396#2334—71no—
397#2333—71no—
398#2318—71no—
399C4×#126—71no—
400C4×#124—71no—
401C4×#123—71no—
402C4×#121—71no—
403#2290D711yescharacteristic, complemented
404C2×#388—71no—
405#2275—71no—
406#2273—71no—
407C42×D4—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—22no—
421C2×C7×D4—22no—
422C2×C7×D4C22×C414yes—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—22no—
426C22×C4×C7—22no—
427C22×C4×C7—41no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
430C22×C4×C7—41no—
431C22×C4×C7—41no—
432C22×C4×C7—41no—
433C22×C4×C7C22×C414yes—
434C22×C4×C7C22×C414yes—
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×C414yes—
460C22×Dic7—22no—
461C22×Dic7—22no—
462C22×Dic7—22no—
463C22×Dic7—22no—
464C22×Dic7—41no—
465C22×Dic7—41no—
466C22×Dic7—41no—
467C22×Dic7—41no—
468C22×Dic7—41no—
469C22×Dic7—41no—
470C22×Dic7—41no—
471C22×Dic7—41no—
472C22×Dic7—41no—
473C22×Dic7—41no—
474C22×Dic7C22×C414yes—
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C22×Dic7C2411yescharacteristic
480C22×Dic7C2411yescharacteristic
481C22×Dic7C2411yescharacteristic
482C22×Dic7C2411yescharacteristic
483C22×Dic7C2411yescharacteristic
484C22×Dic7C2411yescharacteristic
485C22×Dic7C2411yescharacteristic
486C22×Dic7C2411yescharacteristic
487C22×Dic7C2411yescharacteristic
488C2×D28—41no—
489C2×D28—41no—
490C2×D28—41no—
491C2×D28—41no—
492C2×D28C22×C414yes—
493C2×D28C22×C414yes—
494C2×C4×D7—22no—
495C2×C4×D7—22no—
496C2×C4×D7—22no—
497C2×C4×D7—22no—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—41no—
503C2×C4×D7—41no—
504C2×C4×D7—41no—
505C2×C4×D7—41no—
506C2×C4×D7—41no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7C22×C414yes—
515C2×Dic14—41no—
516C2×Dic14—41no—
517C2×Dic14C22×C414yes—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—22no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4C22×C414yes—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—41no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4C22×C414yes—
530C7×C22⋊C4C22×C414yes—
531C42×C7—22no—
532C42×C7—22no—
533C42×C7—41no—
534C42×C7—41no—
535C42×C7—41no—
536C42×C7—41no—
537C42×C7C22×C414yes—
538C22⋊Dic7—22no—
539C22⋊Dic7—22no—
540C22⋊Dic7C22×C414yes—
541C22⋊Dic7C22×C414yes—
542C22⋊Dic7#4114yes—
543C22⋊Dic7#4114yes—
544(C2×D7)⋊C4—22no—
545(C2×D7)⋊C4—22no—
546(C2×D7)⋊C4—22no—
547(C2×D7)⋊C4—22no—
548(C2×D7)⋊C4—22no—
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—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)⋊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—
568(C2×D7)⋊C4C22×C414yes—
569(C2×D7)⋊C4C22×C414yes—
570(C2×D7)⋊C4C22×C414yes—
571(C2×D7)⋊C4C22×C414yes—
572C4⋊Dic7—22no—
573C4⋊Dic7—22no—
574C4⋊Dic7C22×C414yes—
575Dic7⋊C4—22no—
576Dic7⋊C4—22no—
577Dic7⋊C4—22no—
578Dic7⋊C4—22no—
579Dic7⋊C4—41no—
580Dic7⋊C4—41no—
581Dic7⋊C4—41no—
582Dic7⋊C4—41no—
583Dic7⋊C4—41no—
584Dic7⋊C4—41no—
585Dic7⋊C4C22×C414yes—
586Dic7⋊C4C22×C414yes—
587Dic7⋊C4C22×C414yes—
588Dic7⋊C4C22×C414yes—
589C4×Dic7—22no—
590C4×Dic7—22no—
591C4×Dic7—22no—
592C4×Dic7—22no—
593C4×Dic7—22no—
594C4×Dic7—22no—
595C4×Dic7—41no—
596C4×Dic7—41no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C4×Dic7—41no—
606C4×Dic7—41no—
607C4×Dic7C22×C414yes—
608#538—716no—
609C2×#126—71no—
610C2×#126—71no—
611C2×#124—71no—
612C2×#124—71no—
613C2×#123—71no—
614C2×#123—71no—
615C2×C22⋊Q8—71no—
616C2×#121—71no—
617C2×#121—71no—
618C2×#121—71no—
619C2×#120—71no—
620C2×#120—71no—
621C2×C4×Q8—71no—
622C2×C4×D4—71no—
623C2×C4×D4—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×C4×D4—71no—
628C2×C4×D4—71no—
629C2×C4×D4—71no—
630C2×C4×D4—71no—
631C2×C4×D4—71no—
632C2×C4×D4C2×D711yescharacteristic
633C2×#117C2×D711yescharacteristic, complemented
634C22×C4⋊C4—71no—
635C22×C22⋊C4—71no—
636C22×C22⋊C4—71no—
637C22×C22⋊C4—71no—
638C22×C22⋊C4—71no—
639C22×C22⋊C4—71no—
640C22×C42—71no—
641C22×C42C2×D711yescharacteristic
642#391—71no—
643#391—71no—
644#391—71no—
645#390—71no—
646#390—71no—
647#390—71no—
648#390—71no—
649#390—71no—
650#389—71no—
651#389—71no—
652#389—71no—
653#389—71no—
654#388—71no—
655#388—71no—
656#388—71no—
657#388—71no—
658#388—71no—
659#388—71no—
660#388—71no—
661#388—71no—
662#388—71no—
663#388—71no—
664#388—71no—
665#388—71no—
666#388—71no—
667#388—71no—
668#388—71no—
669#388—71no—
670#388—71no—
671#388—71no—
672#388—71no—
673#388—71no—
674#388—71no—
675#388—71no—
676#388C2×D711yescharacteristic, complemented
677#388C2×D711yescharacteristic, complemented
678#387—71no—
679#387—71no—
680#387—71no—
681#387—71no—
682#387—71no—
683#387—71no—
684#387—71no—
685#387—71no—
686#387—71no—
687#387—71no—
688#387C2×D711yescharacteristic, complemented
689#387C2×D711yescharacteristic, complemented
690#386—71no—
691#386—71no—
692#386—71no—
693#386—71no—
694#386—71no—
695#386—71no—
696#386—71no—
697#386—71no—
698#386—71no—
699#386—71no—
700#386—71no—
701#386—71no—
702#386C2×D711yescharacteristic
703#386C2×D711yescharacteristic
704#385—71no—
705#385—71no—
706#385—71no—
707#385—71no—
708#385—71no—
709#385—71no—
710#385—71no—
711#385—71no—
712#385C2×D711yescharacteristic
713#385C2×D711yescharacteristic
714#383—71no—
715#382—71no—
716#381—71no—
717#380—71no—
718C4×C4⋊C4—71no—
719C4×C4⋊C4—71no—
720C4×C4⋊C4—71no—
721C4×C4⋊C4—71no—
722C4×C4⋊C4—71no—
723C4×C4⋊C4—71no—
724C4×C4⋊C4—71no—
725C4×C4⋊C4—71no—
726C4×C4⋊C4—71no—
727C4×C4⋊C4—71no—
728C4×C4⋊C4C2×D711yescharacteristic, complemented
729C4×C22⋊C4—71no—
730C4×C22⋊C4—71no—
731C4×C22⋊C4—71no—
732C4×C22⋊C4—71no—
733C4×C22⋊C4—71no—
734C4×C22⋊C4—71no—
735C4×C22⋊C4—71no—
736C4×C22⋊C4—71no—
737C4×C22⋊C4—71no—
738C4×C22⋊C4—71no—
739C4×C22⋊C4—71no—
740C4×C22⋊C4—71no—
741C4×C22⋊C4—71no—
742C4×C22⋊C4—71no—
743C4×C22⋊C4—71no—
744C4×C22⋊C4—71no—
745C4×C22⋊C4—71no—
746C4×C22⋊C4—71no—
747C4×C22⋊C4—71no—
748C4×C22⋊C4—71no—
749C4×C22⋊C4—71no—
750C4×C22⋊C4—71no—
751C4×C22⋊C4—71no—
752C4×C22⋊C4—71no—
753C4×C22⋊C4—71no—
754C4×C22⋊C4—71no—
755C4×C22⋊C4—71no—
756C4×C22⋊C4C2×D711yescharacteristic
757C4×C22⋊C4C2×D711yescharacteristic, complemented
758#376—71no—
759#376C2×D711yescharacteristic, complemented
760C2×#95—71no—
761C2×#95—71no—
762C2×#95—71no—
763C43—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×C7C23×C412yes—
775C23×C7C23×C412yes—
776C23×C7C2×#4112yes—
777C23×C7C2×#4112yes—
778C23×C7C2511yescharacteristic
779C22×D7—21no—
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—28no—
798C22×D7—44no—
799C22×D7—44no—
800C22×D7—82no—
801C22×D7—82no—
802C22×D7—82no—
803C22×D7—82no—
804C22×D7C23×C412yes—
805C22×D7C23×C412yes—
806C22×D7C23×C412yes—
807C7×D4—28no—
808C2×C4×C7—21no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—44no—
841C2×C4×C7—44no—
842C2×C4×C7—44no—
843C2×C4×C7—44no—
844C2×C4×C7C23×C412yes—
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—44no—
853C22⋊D7—44no—
854C22⋊D7—44no—
855C2×Dic7—21no—
856C2×Dic7—21no—
857C2×Dic7—21no—
858C2×Dic7—21no—
859C2×Dic7—21no—
860C2×Dic7—21no—
861C2×Dic7—21no—
862C2×Dic7—21no—
863C2×Dic7—21no—
864C2×Dic7—21no—
865C2×Dic7—21no—
866C2×Dic7—21no—
867C2×Dic7—21no—
868C2×Dic7—21no—
869C2×Dic7—21no—
870C2×Dic7—21no—
871C2×Dic7—21no—
872C2×Dic7—21no—
873C2×Dic7—21no—
874C2×Dic7—21no—
875C2×Dic7—21no—
876C2×Dic7—21no—
877C2×Dic7—21no—
878C2×Dic7—21no—
879C2×Dic7—21no—
880C2×Dic7—21no—
881C2×Dic7—21no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—44no—
886C2×Dic7—82no—
887C2×Dic7—82no—
888C2×Dic7—82no—
889C2×Dic7—82no—
890C2×Dic7C23×C412yes—
891C2×Dic7C23×C412yes—
892C2×Dic7C23×C412yes—
893C2×Dic7C23×C412yes—
894C2×Dic7C23×C412yes—
895C2×Dic7C2×#4112yes—
896C2×Dic7C2×#4112yes—
897C2×Dic7C2×#4112yes—
898C2×Dic7C2×#4112yes—
899D28—44no—
900D28—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×D4—71no—
916C22×D4—71no—
917C22×D4C22×D711yescharacteristic
918C23×C4—71no—
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4C22×D711yescharacteristic
931C23×C4C22×D711yescharacteristic
932C23×C4C22×D711yescharacteristic
933C23×C4C22×D711yescharacteristic
934#126—78no—
935#126—78no—
936#124—78no—
937#124—78no—
938#123—78no—
939#123—78no—
940C22⋊Q8—78no—
941#121—78no—
942#121—78no—
943#121—78no—
944#120—78no—
945#120—78no—
946C4×Q8—282no—
947C4×D4—78no—
948C4×D4—144no—
949C4×D4—144no—
950C4×D4—144no—
951C4×D4—144no—
952C4×D4—282no—
953C4×D4—282no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4C4×D718yescomplemented
958#117—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—282no—
977C2×C4⋊C4C22×D711yescharacteristic
978C2×C4⋊C4C22×D711yescharacteristic
979C2×C4⋊C4C22×D711yescharacteristic
980C2×C4⋊C4C22×D711yescharacteristic
981C2×C4⋊C4C22×D711yescharacteristic
982C2×C22⋊C4—71no—
983C2×C22⋊C4—71no—
984C2×C22⋊C4—71no—
985C2×C22⋊C4—71no—
986C2×C22⋊C4—78no—
987C2×C22⋊C4—71no—
988C2×C22⋊C4—71no—
989C2×C22⋊C4—71no—
990C2×C22⋊C4—71no—
991C2×C22⋊C4—71no—
992C2×C22⋊C4—71no—
993C2×C22⋊C4—71no—
994C2×C22⋊C4—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—71no—
998C2×C22⋊C4—71no—
999C2×C22⋊C4—71no—
1000C2×C22⋊C4—71no—
1001C2×C22⋊C4—71no—
1002C2×C22⋊C4—71no—
1003C2×C22⋊C4—71no—
1004C2×C22⋊C4—71no—
1005C2×C22⋊C4—71no—
1006C2×C22⋊C4—71no—
1007C2×C22⋊C4—71no—
1008C2×C22⋊C4—71no—
1009C2×C22⋊C4—71no—
1010C2×C22⋊C4—71no—
1011C2×C22⋊C4—71no—
1012C2×C22⋊C4—71no—
1013C2×C22⋊C4—71no—
1014C2×C22⋊C4—71no—
1015C2×C22⋊C4—71no—
1016C2×C22⋊C4—71no—
1017C2×C22⋊C4—144no—
1018C2×C22⋊C4—144no—
1019C2×C22⋊C4—282no—
1020C2×C22⋊C4—282no—
1021C2×C22⋊C4C22×D711yescharacteristic
1022C2×C22⋊C4C22×D711yescharacteristic
1023C2×C22⋊C4C22×D711yescharacteristic
1024C2×C22⋊C4C22×D711yescharacteristic
1025C2×C22⋊C4C22×D711yescharacteristic
1026C2×C22⋊C4C22×D711yescharacteristic
1027C2×C22⋊C4C22×D711yescharacteristic
1028C2×C22⋊C4C22×D711yescharacteristic
1029C2×C42—42no—
1030C2×C42—71no—
1031C2×C42—71no—
1032C2×C42—71no—
1033C2×C42—71no—
1034C2×C42—71no—
1035C2×C42—71no—
1036C2×C42—71no—
1037C2×C42—71no—
1038C2×C42—71no—
1039C2×C42—71no—
1040C2×C42—71no—
1041C2×C42—71no—
1042C2×C42—71no—
1043C2×C42—71no—
1044C2×C42—71no—
1045C2×C42—71no—
1046C2×C42—71no—
1047C2×C42—71no—
1048C2×C42—71no—
1049C2×C42—282no—
1050C2×C42C22×D711yescharacteristic
1051C2×C42C22×D711yescharacteristic
1052C2×C42C22×D711yescharacteristic
1053C2×C42C22×D711yescharacteristic
1054C2×C42C22×D711yescharacteristic
1055C2×C42C22×D711yescharacteristic
1056C2×C42C22×D711yescharacteristic
1057#95—71no—
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95C22×D711yescharacteristic
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
1097C22×C7—22no—
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—22no—
1105C22×C7—22no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7C4×#4114yes—
1111C22×C7C24×C411yescharacteristic
1112C22×C7C22×#4111yescharacteristic
1113C22×C7C22×#4111yescharacteristic
1114C22×C7C2×H(5,𝔽2)11yescharacteristic
1115C22×C7C2×H(5,𝔽2)11yescharacteristic
1116C22×C7#58511yescharacteristic
1117C22×C7#58511yescharacteristic
1118C2×D7—22no—
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—22no—
1124C2×D7—22no—
1125C2×D7—22no—
1126C2×D7—22no—
1127C2×D7—41no—
1128C2×D7—41no—
1129C2×D7—41no—
1130C2×D7—41no—
1131C2×D7—41no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—88no—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—22no—
1147C4×C7—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—22no—
1161Dic7—22no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166C24—71no—
1167C24—71no—
1168C24—71no—
1169C24—74no—
1170C24—142no—
1171C24—142no—
1172C24—281no—
1173C24—281no—
1174C24—281no—
1175C24—281no—
1176C24C23×D711yescharacteristic
1177C24C23×D711yescharacteristic
1178C2×Q8—74no—
1179C2×Q8—281no—
1180C2×Q8—281no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—74no—
1184C2×D4—74no—
1185C2×D4—74no—
1186C2×D4—74no—
1187C2×D4—74no—
1188C2×D4—74no—
1189C2×D4—142no—
1190C2×D4—142no—
1191C2×D4—281no—
1192C2×D4—281no—
1193C2×D4—281no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4—281no—
1200C2×D4—281no—
1201C2×D4C2×C4×D714yes—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—71no—
1213C22×C4—71no—
1214C22×C4—71no—
1215C22×C4—71no—
1216C22×C4—71no—
1217C22×C4—71no—
1218C22×C4—71no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—74no—
1222C22×C4—74no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
1226C22×C4—71no—
1227C22×C4—142no—
1228C22×C4—142no—
1229C22×C4—142no—
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—281no—
1261C22×C4C2×C4×D714yes—
1262C22×C4C2×C4×D714yes—
1263C22×C4C23×D711yescharacteristic
1264C22×C4C23×D711yescharacteristic
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—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⋊C4C2×C4×D714yes—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—74no—
1305C22⋊C4—74no—
1306C22⋊C4—74no—
1307C22⋊C4—74no—
1308C22⋊C4—74no—
1309C22⋊C4—74no—
1310C22⋊C4—74no—
1311C22⋊C4—74no—
1312C22⋊C4—74no—
1313C22⋊C4—74no—
1314C22⋊C4—74no—
1315C22⋊C4—74no—
1316C22⋊C4—74no—
1317C22⋊C4—74no—
1318C22⋊C4—142no—
1319C22⋊C4—142no—
1320C22⋊C4—142no—
1321C22⋊C4—142no—
1322C22⋊C4—142no—
1323C22⋊C4—142no—
1324C22⋊C4—142no—
1325C22⋊C4—142no—
1326C22⋊C4—142no—
1327C22⋊C4—142no—
1328C22⋊C4—142no—
1329C22⋊C4—142no—
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⋊C4C2×C4×D714yes—
1339C22⋊C4C2×C4×D714yes—
1340C42—22no—
1341C42—22no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—74no—
1347C42—142no—
1348C42—142no—
1349C42—142no—
1350C42—142no—
1351C42—142no—
1352C42—142no—
1353C42—281no—
1354C42—281no—
1355C42—281no—
1356C42—281no—
1357C42—281no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42C2×C4×D714yes—
1366C2×C7—24no—
1367C2×C7—42no—
1368C2×C7C2×C4×#4111yescharacteristic
1369C2×C7C4×H(5,𝔽2)11yescharacteristic
1370C2×C7C4×H(5,𝔽2)11yescharacteristic
1371C2×C7#351311yescharacteristic
1372C2×C7#351411yescharacteristic
1373C2×C7#351911yescharacteristic
1374C2×C7#352111yescharacteristic
1375D7—42no—
1376D7—42no—
1377D7—42no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—72no—
1389C23—72no—
1390C23—72no—
1391C23—141no—
1392C23—141no—
1393C23—141no—
1394C23—141no—
1395C23—141no—
1396C23—141no—
1397C23—141no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—148no—
1410C23—284no—
1411C23—284no—
1412C23—562no—
1413C23—562no—
1414C23—562no—
1415C23—562no—
1416C23C22×C4×D712yes—
1417C23C22×C4×D712yes—
1418C23D7×#4112yes—
1419C23D7×#4112yes—
1420C23C24×D711yescharacteristic
1421Q8—284no—
1422D4—28no—
1423D4—148no—
1424D4—284no—
1425D4—284no—
1426D4—284no—
1427D4—284no—
1428D4—284no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—72no—
1466C2×C4—72no—
1467C2×C4—72no—
1468C2×C4—72no—
1469C2×C4—72no—
1470C2×C4—72no—
1471C2×C4—72no—
1472C2×C4—72no—
1473C2×C4—72no—
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—284no—
1505C2×C4—284no—
1506C2×C4—284no—
1507C2×C4—284no—
1508C2×C4—562no—
1509C2×C4—562no—
1510C2×C4—562no—
1511C2×C4—562no—
1512C2×C4—562no—
1513C2×C4—562no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4C22×C4×D712yes—
1517C2×C4C22×C4×D712yes—
1518C2×C4C22×C4×D712yes—
1519C2×C4C22×C4×D712yes—
1520C2×C4C22×C4×D712yes—
1521C2×C4#654812yes—
1522C2×C4#655312yes—
1523C7#3428311yescharacteristic, complemented, Sylow
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—142no—
1538C22—142no—
1539C22—142no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—281no—
1547C22—281no—
1548C22—281no—
1549C22—281no—
1550C22—281no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—568no—
1559C22#9021314yes—
1560C22C23×C4×D711yescharacteristic
1561C22C2×#654811yescharacteristic
1562C22C2×D7×#4111yescharacteristic
1563C22C2×D7×#4111yescharacteristic
1564C22C2×#655311yescharacteristic
1565C22#9061611yescharacteristic
1566C22#9061611yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—142no—
1581C4—142no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—142no—
1588C4—142no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C2—24no—
1594C2—42no—
1595C2—282no—
1596C2—282no—
1597C2—282no—
1598C2C2×#9021311yescharacteristic
1599C2C4×#654811yescharacteristic
1600C2C4×#655311yescharacteristic
1601C2#1174311311yescharacteristic
1602C2#1174311411yescharacteristic
1603C2#1174323011yescharacteristic
1604C2#1174323611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2290C2
socle, cosocleC23×C7C25
prime radicalC2×#90251C2
hypercenter#2290D7
hypocenterC7#34283
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2290

Complements

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

NH ≅ G/Ntype
2. C7×#2290C2semidirect
3. #11739762C2semidirect
4. #11739689C2semidirect
5. #11739687C2semidirect
6. C2×#89712C2semidirect
7. C42×C22⋊D7C2semidirect
8. #11733275C2semidirect
9. #11732916C2semidirect
10. #11732899C2semidirect
11. #11732897C2semidirect
12. #11732747C2semidirect
13. #11732398C2semidirect
14. #11732387C2semidirect
15. #11732385C2semidirect
16. #11732324C2semidirect
17. #11732324C2semidirect
18. #11732123C2semidirect
19. #11732121C2semidirect
20. #11732041C2semidirect
21. #11732041C2semidirect
22. #11731844C2semidirect
23. #11731841C2semidirect
24. #11731109C2semidirect
25. #11731099C2semidirect
26. #11731013C2semidirect
27. #11731005C2semidirect
28. #11730923C2semidirect
29. #11730916C2semidirect
30. #11730841C2semidirect
31. #11730840C2semidirect
33. C2×C7×#117C22semidirect
48. #90251C4semidirect
53. C2×#6450C22semidirect
59. C2×(C22⋊D7)⋊C4C22semidirect
65. C2×C42×D7C22semidirect
66. C7×#388C22semidirect
67. C7×#388C22semidirect
68. C7×#387C22semidirect
69. C7×#387C22semidirect
74. C4×C7×C4⋊C4C22semidirect
76. C4×C7×C22⋊C4C22semidirect
77. C7×#376C22semidirect
81. C4×C22⋊Dic7C22semidirect
84. C2×C7⋊#95C22semidirect
91. #89750C22semidirect
92. #89750C22semidirect
93. C4⋊C4×Dic7C22semidirect
94. C4⋊C4×Dic7C22semidirect
95. C4⋊C4×Dic7C22semidirect
96. #89746C22semidirect
97. #89745C22semidirect
98. #89744C22semidirect
99. #89744C22semidirect
104. #89730C22semidirect
107. #89729C22semidirect
110. #89728C22semidirect
113. #89718C22semidirect
114. #89717C22semidirect
115. #89716C22semidirect
120. C22⋊C4×Dic7C22semidirect
121. C22⋊C4×Dic7C22semidirect
122. C22⋊C4×Dic7C22semidirect
131. #89712C22semidirect
132. #89712C22semidirect
137. C4×(C2×D7)⋊C4C22semidirect
138. C4×(C2×D7)⋊C4C22semidirect
139. C4×(C2×D7)⋊C4C22semidirect
140. C4×C4⋊Dic7C22semidirect
141. #89705C22semidirect
142. #89705C22semidirect
143. #89704C22semidirect
144. C4×Dic7⋊C4C22semidirect
145. C4×Dic7⋊C4C22semidirect
146. C4×Dic7⋊C4C22semidirect
147. C42×Dic7C22semidirect
150. #89442C22semidirect
155. #89441C22semidirect
158. #89440C22semidirect
159. #89439C22semidirect
168. #89438C22semidirect
173. #89436C22semidirect
174. #89427C22semidirect
175. #89425C22semidirect
176. #89425C22semidirect
177. #89424C22semidirect
178. #89424C22semidirect
179. #89424C22semidirect
180. #89423C22semidirect
181. #89422C22semidirect
182. #89421C22semidirect
183. #89421C22semidirect
184. #89421C22semidirect
185. #89419C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
214. C4×C7×D4C2×C4semidirect
243. #6502C2×C4semidirect
244. #6500C2×C4semidirect
247. #6493C2×C4semidirect
248. #6492C2×C4semidirect
251. C4×C22⋊D7C2×C4semidirect
254. C2×(C2×D7)⋊C4C2×C4semidirect
320. #6461C2×C4semidirect
321. #6457C2×C4semidirect
325. #6448C2×C4semidirect
326. #6447C2×C4semidirect
327. #6445C2×C4semidirect
333. #6441C2×C4semidirect
334. #6439C2×C4semidirect
335. #6438C2×C4semidirect
403. #2290D7semidirect
633. C2×#117C2×D7semidirect
676. #388C2×D7semidirect
677. #388C2×D7semidirect
688. #387C2×D7semidirect
689. #387C2×D7semidirect
728. C4×C4⋊C4C2×D7semidirect
757. C4×C22⋊C4C2×D7semidirect
759. #376C2×D7semidirect
957. C4×D4C4×D7semidirect
1523. C7#34283semidirect

Maximal subgroups

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

subgroupindex
C2×#902512
C7×#22902
#117397622
#117396892
#117396872
C2×#897122
C42×C22⋊D72
#117332752
#117329162
#117328992
#117328972
#117327472
#117323982
#117323872
#117323852
#117323242
#117321232
#117321212
#117320412
#117318442
#117318412
#117311092
#117310992
#117310132
#117310052
#117309232
#117309162
#117308412
#117308402
#342837