Finite Group Databasebeta

← #13515234

Subgroups — #13515234

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×#90369C211yesmaximal, characteristic
2C4×C7×#124C211yesmaximal, characteristic, complemented
3#11740399C211yesmaximal, characteristic, complemented
4#11739935C211yesmaximal, characteristic, complemented
5#11739911C211yesmaximal, characteristic, complemented
6#11739843C211yesmaximal, characteristic, complemented
7#11739787C211yesmaximal, characteristic, complemented
8#11734061C211yesmaximal, characteristic, complemented
9#11733940C211yesmaximal, characteristic, complemented
10#11733877C211yesmaximal, characteristic, complemented
11#11733750C211yesmaximal, characteristic, complemented
12#11733281C211yesmaximal, characteristic, complemented
13D7×#388C211yesmaximal, characteristic, complemented
14#11732933C211yesmaximal, characteristic, complemented
15#11732931C211yesmaximal, characteristic, complemented
16#11732922C211yesmaximal, characteristic, complemented
17#11732898C211yesmaximal, characteristic, complemented
18#11732897C211yesmaximal, characteristic, complemented
19#11732894C211yesmaximal, characteristic, complemented
20#11731671C211yesmaximal, characteristic, complemented
21#11731600C211yesmaximal, characteristic, complemented
22#11731024C211yesmaximal, characteristic, complemented
23#11731022C211yesmaximal, characteristic, complemented
24#11731016C211yesmaximal, characteristic, complemented
25#11731015C211yesmaximal, characteristic, complemented
26#11731005C211yesmaximal, characteristic, complemented
27#11730921C211yesmaximal, characteristic, complemented
28#11730909C211yesmaximal, characteristic, complemented
29#11730881C211yesmaximal, characteristic, complemented
30C4×#6439C211yesmaximal, characteristic, complemented
31C42×D28C211yesmaximal, characteristic, complemented
32C2×C7×#124C2211yescharacteristic
33C2×C4×C7×Q8C2211yescharacteristic, complemented
34C2×C4×C7×D4C2211yescharacteristic
35C2×#6510C2211yescharacteristic
36C2×#6509C2211yescharacteristic
37C2×#6502C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40C22×(C2×D7)⋊C4C2211yescharacteristic
41#90369C4116yescomplemented
42C2×#6456C2211yescharacteristic
43C2×D7×C4⋊C4C2211yescharacteristic
44C2×#6449C2211yescharacteristic
45C2×#6447C2211yescharacteristic
46C2×#6447C2211yescharacteristic
47C2×#6446C2211yescharacteristic
48C2×#6445C2211yescharacteristic
49C2×(C22⋊D7)⋊C4C2211yescharacteristic
50C2×(C22⋊D7)⋊C4C2211yescharacteristic
51C2×(C22⋊D7)⋊C4C2211yescharacteristic
52C2×(C22⋊D7)⋊C4C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
54C2×D7×C22⋊C4C2211yescharacteristic
55C2×D7×C22⋊C4C2211yescharacteristic
56C2×D7×C22⋊C4C2211yescharacteristic
57C2×D7×C22⋊C4C2211yescharacteristic
58C2×#6442C2211yescharacteristic
59C2×#6440C2211yescharacteristic, complemented
60C2×#6439C2211yescharacteristic
61C2×C4×D28C2211yescharacteristic
62C2×C4×D28C2211yescharacteristic
63C2×C4×D28C2211yescharacteristic
64C2×C42×D7C2211yescharacteristic
65C2×C42×D7C2211yescharacteristic, complemented
66C7×#391C2211yescharacteristic, complemented
67C7×#390C2211yescharacteristic
68C7×#388C2211yescharacteristic
69C7×#388C2211yescharacteristic
70C7×#388C2211yescharacteristic, complemented
71C7×#388C2211yescharacteristic, complemented
72C7×#382C2211yescharacteristic, complemented
73C4×C7×C22⋊C4C2211yescharacteristic
74C4×C7×C22⋊C4C2211yescharacteristic
75C4×C7×C22⋊C4C2211yescharacteristic, complemented
76C4×C7×C22⋊C4C2211yescharacteristic, complemented
77C43×C7C2211yescharacteristic, complemented
78#90002C2211yescharacteristic, complemented
79#90002C2211yescharacteristic, complemented
80#89992C2211yescharacteristic
81#89992C2211yescharacteristic
82#89985C2211yescharacteristic
83#89985C2211yescharacteristic
84#89985C2211yescharacteristic, complemented
85#89982C2211yescharacteristic
86C4×C22⋊Dic7C2211yescharacteristic
87C2×C7⋊#95C2211yescharacteristic, complemented
88#89762C2211yescharacteristic
89#89762C2211yescharacteristic
90#89762C2211yescharacteristic, complemented
91#89762C2211yescharacteristic, complemented
92#89761C2211yescharacteristic
93#89761C2211yescharacteristic
94#89761C2211yescharacteristic
95#89761C2211yescharacteristic
96#89761C2211yescharacteristic, complemented
97#89750C2211yescharacteristic, complemented
98C4⋊C4×Dic7C2211yescharacteristic, complemented
99C4⋊C4×Dic7C2211yescharacteristic, complemented
100#89744C2211yescharacteristic, complemented
101#89744C2211yescharacteristic, complemented
102#89729C2211yescharacteristic
103#89729C2211yescharacteristic
104#89729C2211yescharacteristic, complemented
105#89728C2211yescharacteristic
106#89728C2211yescharacteristic
107#89728C2211yescharacteristic
108#89728C2211yescharacteristic
109#89728C2211yescharacteristic, complemented
110#89723C2211yescharacteristic
111#89723C2211yescharacteristic
112#89723C2211yescharacteristic, complemented
113#89723C2211yescharacteristic, complemented
114#89722C2211yescharacteristic
115#89722C2211yescharacteristic, complemented
116#89717C2211yescharacteristic
117#89716C2211yescharacteristic
118#89716C2211yescharacteristic
119#89716C2211yescharacteristic
120C22⋊C4×Dic7C2211yescharacteristic
121C22⋊C4×Dic7C2211yescharacteristic
122C22⋊C4×Dic7C2211yescharacteristic
123C22⋊C4×Dic7C2211yescharacteristic, complemented
124C22⋊C4×Dic7C2211yescharacteristic, complemented
125C22⋊C4×Dic7C2211yescharacteristic, complemented
126#89712C2211yescharacteristic
127#89712C2211yescharacteristic
128#89712C2211yescharacteristic
129#89712C2211yescharacteristic, complemented
130#89711C2211yescharacteristic
131C4×(C2×D7)⋊C4C2211yescharacteristic
132C4×(C2×D7)⋊C4C2211yescharacteristic
133C4×(C2×D7)⋊C4C2211yescharacteristic
134C4×(C2×D7)⋊C4C2211yescharacteristic
135C4×(C2×D7)⋊C4C2211yescharacteristic
136C4×(C2×D7)⋊C4C2211yescharacteristic
137C4×(C2×D7)⋊C4C2211yescharacteristic
138C4×(C2×D7)⋊C4C2211yescharacteristic
139C4×(C2×D7)⋊C4C2211yescharacteristic
140C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
141C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
142C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
143#89709C2211yescharacteristic, complemented
144C4×C4⋊Dic7C2211yescharacteristic, complemented
145C4×C4⋊Dic7C2211yescharacteristic, complemented
146C4×C4⋊Dic7C2211yescharacteristic, complemented
147#89705C2211yescharacteristic, complemented
148#89705C2211yescharacteristic, complemented
149#89705C2211yescharacteristic, complemented
150#89705C2211yescharacteristic, complemented
151C4×Dic7⋊C4C2211yescharacteristic, complemented
152C4×Dic7⋊C4C2211yescharacteristic, complemented
153C4×Dic7⋊C4C2211yescharacteristic, complemented
154C4×Dic7⋊C4C2211yescharacteristic, complemented
155#89700C2211yescharacteristic, complemented
156#89442C2211yescharacteristic
157#89442C2211yescharacteristic
158#89442C2211yescharacteristic, complemented
159#89441C2211yescharacteristic
160#89440C2211yescharacteristic
161#89440C2211yescharacteristic
162#89439C2211yescharacteristic, complemented
163#89438C2211yescharacteristic
164#89438C2211yescharacteristic
165#89438C2211yescharacteristic
166#89438C2211yescharacteristic
167#89438C2211yescharacteristic
168#89438C2211yescharacteristic, complemented
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89436C2211yescharacteristic, complemented
174D7×#95C2211yescharacteristic
175D7×#95C2211yescharacteristic
176#89427C2211yescharacteristic, complemented
177#89427C2211yescharacteristic, complemented
178#89426C2211yescharacteristic, complemented
179#89425C2211yescharacteristic, complemented
180#89425C2211yescharacteristic, complemented
181#89425C2211yescharacteristic, complemented
182#89424C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89421C2211yescharacteristic, complemented
185#89420C2211yescharacteristic, complemented
186#89420C2211yescharacteristic, complemented
187#89419C2211yescharacteristic, complemented
188#34283—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C22×C7×Q8C2311yescharacteristic
191C22×C7×D4C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×C4×D7C2311yescharacteristic
204C22×C4×D7C2311yescharacteristic
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C7×#124C2×C418yescomplemented
215C4×C7×Q8—42no—
216C4×C7×D4—42no—
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×C7×C22⋊C4C2311yescharacteristic
230C2×C7×C22⋊C4C2311yescharacteristic
231C2×C42×C7C2311yescharacteristic
232C2×C42×C7C2311yescharacteristic
233C2×C42×C7C2311yescharacteristic
234C2×C42×C7C2311yescharacteristic
235C2×C42×C7C2311yescharacteristic
236C2×C42×C7C2311yescharacteristic
237C2×C42×C7C2311yescharacteristic
238C2×C42×C7C2311yescharacteristic
239C2×C42×C7C2311yescharacteristic
240C2×C22⋊Dic7C2311yescharacteristic
241C2×C22⋊Dic7C2311yescharacteristic
242C2×C22⋊Dic7C2311yescharacteristic
243C2×C22⋊Dic7C2311yescharacteristic
244C2×C22⋊Dic7C2311yescharacteristic
245C2×C22⋊Dic7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248#6510C2×C418yescomplemented
249#6509C2×C418yescomplemented
250#6502C2×C418yescomplemented
251#6500C2×C418yescomplemented
252C4×C22⋊D7—24no—
253C2×(C2×D7)⋊C4—24no—
254C2×(C2×D7)⋊C4C2311yescharacteristic
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×C4⋊Dic7C2311yescharacteristic
279C2×C4⋊Dic7C2311yescharacteristic
280C2×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×Dic7⋊C4C2311yescharacteristic
285C2×Dic7⋊C4C2311yescharacteristic
286C2×Dic7⋊C4C2311yescharacteristic
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×C4×Dic7C2311yescharacteristic
297C2×C4×Dic7C2311yescharacteristic
298C2×C4×Dic7C2311yescharacteristic
299C2×C4×Dic7C2311yescharacteristic
300C2×C4×Dic7C2311yescharacteristic
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
313#6456—42no—
314D7×C4⋊C4—42no—
315#6449C2×C418yescomplemented
316#6447C2×C418yescomplemented
317#6447C2×C418yescomplemented
318#6446C2×C418yescomplemented
319#6445C2×C418yescomplemented
320(C22⋊D7)⋊C4—24no—
321(C22⋊D7)⋊C4—42no—
322(C22⋊D7)⋊C4—42no—
323(C22⋊D7)⋊C4—42no—
324(C22⋊D7)⋊C4C2×C418yescomplemented
325D7×C22⋊C4—24no—
326D7×C22⋊C4—42no—
327D7×C22⋊C4—42no—
328D7×C22⋊C4C2×C418yescomplemented
329#6442C2×C418yescomplemented
330#6440—42no—
331#6439C2×C418yescomplemented
332C4×D28—24no—
333C4×D28—24no—
334C4×D28C2×C418yescomplemented
335C42×D7—42no—
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×#124D711yescharacteristic, complemented
401C4×#123—71no—
402C4×#121—71no—
403#2290—71no—
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×Q8—41no—
421C2×C7×Q8—41no—
422C2×C7×Q8C22×C414yes—
423C2×C7×D4—41no—
424C2×C7×D4—41no—
425C2×C7×D4C22×C414yes—
426C22×C4×C7—22no—
427C22×C4×C7—22no—
428C22×C4×C7—41no—
429C22×C4×C7—41no—
430C22×C4×C7—41no—
431C22×C4×C7—41no—
432C22×C4×C7C2411yescharacteristic
433C22×C4×C7C2411yescharacteristic
434C22×C4×C7C2411yescharacteristic
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
445C2×C22⋊D7—22no—
446C2×C22⋊D7—22no—
447C2×C22⋊D7—41no—
448C2×C22⋊D7—41no—
449C2×C22⋊D7—41no—
450C2×C22⋊D7—41no—
451C2×C22⋊D7—41no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7C22×C414yes—
454C2×C22⋊D7C22×C414yes—
455C2×C22⋊D7C22×C414yes—
456C2×C22⋊D7C22×C414yes—
457C22×Dic7—22no—
458C22×Dic7—22no—
459C22×Dic7—41no—
460C22×Dic7—41no—
461C22×Dic7—41no—
462C22×Dic7—41no—
463C22×Dic7—41no—
464C22×Dic7—41no—
465C22×Dic7C22×C414yes—
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C22×Dic7C2411yescharacteristic
477C22×Dic7C2411yescharacteristic
478C22×Dic7C2411yescharacteristic
479C2×D28—22no—
480C2×D28—22no—
481C2×D28—41no—
482C2×D28—41no—
483C2×D28C22×C414yes—
484C2×D28C22×C414yes—
485C2×C4×D7—22no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—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×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7C22×C414yes—
516C2×C4×D7C22×C414yes—
517C2×C4×D7C22×C414yes—
518C7×C4⋊C4—22no—
519C7×C4⋊C4—22no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C22⋊C4—22no—
523C7×C22⋊C4—22no—
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4C22×C414yes—
529C7×C22⋊C4C22×C414yes—
530C7×C22⋊C4C22×C414yes—
531C7×C22⋊C4C22×C414yes—
532C42×C7—22no—
533C42×C7—22no—
534C42×C7—22no—
535C42×C7—22no—
536C42×C7—41no—
537C42×C7—41no—
538C42×C7—41no—
539C42×C7—41no—
540C42×C7C22×C414yes—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7—41no—
547C22⋊Dic7C22×C414yes—
548C22⋊Dic7C22×C414yes—
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—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—41no—
558(C2×D7)⋊C4—41no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊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)⋊C4#4114yes—
572(C2×D7)⋊C4#4114yes—
573C4⋊Dic7—22no—
574C4⋊Dic7—22no—
575C4⋊Dic7—41no—
576C4⋊Dic7—41no—
577C4⋊Dic7C22×C414yes—
578C4⋊Dic7C22×C414yes—
579Dic7⋊C4—22no—
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—41no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4C22×C414yes—
588Dic7⋊C4C22×C414yes—
589Dic7⋊C4C22×C414yes—
590Dic7⋊C4C22×C414yes—
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×#124C2×D711yescharacteristic
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×Q8C2×D711yescharacteristic, complemented
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×#117—71no—
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×C42—71no—
642#391—71no—
643#391—71no—
644#391C2×D711yescharacteristic, complemented
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#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#388C2×D711yescharacteristic
675#388C2×D711yescharacteristic
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#387—71no—
689#387—71no—
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#386—71no—
703#386—71no—
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#385—71no—
713#385—71no—
714#383—71no—
715#382C2×D711yescharacteristic, complemented
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⋊C4—71no—
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⋊C4C2×D711yescharacteristic
755C4×C22⋊C4C2×D711yescharacteristic
756C4×C22⋊C4C2×D711yescharacteristic, complemented
757C4×C22⋊C4C2×D711yescharacteristic, complemented
758#376—71no—
759#376—71no—
760C2×#95—71no—
761C2×#95—71no—
762C2×#95—71no—
763C43C2×D711yescharacteristic, complemented
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×C7C23×C412yes—
777C23×C7C23×C412yes—
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—28no—
796C22×D7—44no—
797C22×D7—44no—
798C22×D7—82no—
799C22×D7—82no—
800C22×D7—82no—
801C22×D7—82no—
802C22×D7C23×C412yes—
803C22×D7C23×C412yes—
804C22×D7C23×C412yes—
805C22×D7C2×#4112yes—
806C22×D7C2×#4112yes—
807C7×Q8—44no—
808C7×D4—44no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—82no—
840C2×C4×C7—82no—
841C2×C4×C7C23×C412yes—
842C2×C4×C7C23×C412yes—
843C2×C4×C7C23×C412yes—
844C2×C4×C7C23×C412yes—
845C2×C4×C7C23×C412yes—
846C2×C4×C7C2×#4112yes—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7H(5,𝔽2)12yes—
849C2×C4×C7H(5,𝔽2)12yes—
850C22⋊D7—28no—
851C22⋊D7—44no—
852C22⋊D7—44no—
853C22⋊D7—44no—
854C2×Dic7—21no—
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—44no—
887C2×Dic7—82no—
888C2×Dic7—82no—
889C2×Dic7C23×C412yes—
890C2×Dic7C23×C412yes—
891C2×Dic7C23×C412yes—
892C2×Dic7C23×C412yes—
893C2×Dic7C23×C412yes—
894C2×Dic7C2×#4112yes—
895C2×Dic7C2×#4112yes—
896D28—28no—
897D28—44no—
898C4×D7—44no—
899C4×D7—44no—
900C4×D7—44no—
901C4×D7—44no—
902C4×D7—44no—
903C4×D7—44no—
904C4×D7—44no—
905C4×D7—82no—
906C4×D7—82no—
907C4×D7—82no—
908C4×D7—82no—
909C25—71no—
910C22×Q8C22×D711yescharacteristic
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×C4—71no—
931C23×C4—71no—
932C23×C4C22×D711yescharacteristic
933C23×C4C22×D711yescharacteristic
934#126—78no—
935#126—78no—
936#124—78no—
937#124C4×D718yescomplemented
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—42no—
947C4×D4—42no—
948C4×D4—78no—
949C4×D4—78no—
950C4×D4—144no—
951C4×D4—144no—
952C4×D4—144no—
953C4×D4—144no—
954C4×D4—282no—
955C4×D4—282no—
956C4×D4—282no—
957C4×D4—282no—
958#117—282no—
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—282no—
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—71no—
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—78no—
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—144no—
1016C2×C22⋊C4—144no—
1017C2×C22⋊C4—282no—
1018C2×C22⋊C4—282no—
1019C2×C22⋊C4C22×D711yescharacteristic
1020C2×C22⋊C4C22×D711yescharacteristic
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—71no—
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—282no—
1047C2×C42—282no—
1048C2×C42C22×D711yescharacteristic
1049C2×C42C22×D711yescharacteristic
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#95—71no—
1088#95—71no—
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—41no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
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—22no—
1128C2×D7—22no—
1129C2×D7—22no—
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—88no—
1139C2×D7C4×#4114yes—
1140C4×C7—22no—
1141C4×C7—22no—
1142C4×C7—22no—
1143C4×C7—22no—
1144C4×C7—22no—
1145C4×C7—22no—
1146C4×C7—22no—
1147C4×C7—22no—
1148C4×C7—22no—
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—
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—41no—
1179C2×Q8—41no—
1180C2×Q8C2×C4×D714yes—
1181C2×D4—41no—
1182C2×D4—41no—
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—142no—
1192C2×D4—142no—
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—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—71no—
1209C22×C4—71no—
1210C22×C4—71no—
1211C22×C4—71no—
1212C22×C4—71no—
1213C22×C4—71no—
1214C22×C4—71no—
1215C22×C4—74no—
1216C22×C4—74no—
1217C22×C4—74no—
1218C22×C4—74no—
1219C22×C4—71no—
1220C22×C4—71no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—142no—
1226C22×C4—142no—
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×C4—281no—
1262C22×C4—281no—
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—74no—
1286C4⋊C4—142no—
1287C4⋊C4—142no—
1288C4⋊C4—142no—
1289C4⋊C4—142no—
1290C4⋊C4—142no—
1291C4⋊C4—142no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
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—142no—
1317C22⋊C4—142no—
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—281no—
1327C22⋊C4—281no—
1328C22⋊C4—281no—
1329C22⋊C4—281no—
1330C22⋊C4—281no—
1331C22⋊C4—281no—
1332C22⋊C4—281no—
1333C22⋊C4—281no—
1334C22⋊C4—281no—
1335C22⋊C4—281no—
1336C22⋊C4C2×C4×D714yes—
1337C22⋊C4C2×C4×D714yes—
1338C22⋊C4C2×C4×D714yes—
1339C22⋊C4C2×C4×D714yes—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—74no—
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—42no—
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—24no—
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—21no—
1389C23—21no—
1390C23—72no—
1391C23—72no—
1392C23—72no—
1393C23—72no—
1394C23—72no—
1395C23—148no—
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—141no—
1410C23—141no—
1411C23—141no—
1412C23—284no—
1413C23—284no—
1414C23—562no—
1415C23—562no—
1416C23—562no—
1417C23—562no—
1418C23C22×C4×D712yes—
1419C23C22×C4×D712yes—
1420C23C24×D711yescharacteristic
1421Q8—44no—
1422D4—44no—
1423D4—148no—
1424D4—148no—
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—72no—
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—141no—
1469C2×C4—141no—
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—284no—
1501C2×C4—284no—
1502C2×C4—284no—
1503C2×C4—284no—
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×C4C22×C4×D712yes—
1515C2×C4C22×C4×D712yes—
1516C2×C4C22×C4×D712yes—
1517C2×C4C22×C4×D712yes—
1518C2×C4C22×C4×D712yes—
1519C2×C4#654812yes—
1520C2×C4D7×#4112yes—
1521C2×C4D7×#4112yes—
1522C2×C4#655312yes—
1523C7#3428311yescharacteristic, complemented, Sylow
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—74no—
1539C22—142no—
1540C22—142no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—142no—
1547C22—142no—
1548C22—142no—
1549C22—142no—
1550C22—142no—
1551C22—281no—
1552C22—281no—
1553C22—281no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—568no—
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—22no—
1575C4—22no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—142no—
1581C4—142no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—281no—
1588C4—281no—
1589C4—281no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C2—42no—
1594C2—42no—
1595C2—144no—
1596C2—282no—
1597C2—282no—
1598C2C4×#654811yescharacteristic
1599C2C4×D7×#4111yescharacteristic
1600C2C4×#655311yescharacteristic
1601C2#1174314511yescharacteristic
1602C2#1174322911yescharacteristic
1603C2#1174323611yescharacteristic
1604C2#1174331511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC4×C7×#124C2
socle, cosocleC23×C7C25
prime radicalC2×#90369C2
hypercenterC4×#124D7
hypocenterC7#34283
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ C4×#124

Complements

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

NH ≅ G/Ntype
2. C4×C7×#124C2semidirect
3. #11740399C2semidirect
4. #11739935C2semidirect
5. #11739911C2semidirect
6. #11739843C2semidirect
7. #11739787C2semidirect
8. #11734061C2semidirect
9. #11733940C2semidirect
10. #11733877C2semidirect
11. #11733750C2semidirect
12. #11733281C2semidirect
13. D7×#388C2semidirect
14. #11732933C2semidirect
15. #11732931C2semidirect
16. #11732922C2semidirect
17. #11732898C2semidirect
18. #11732897C2semidirect
19. #11732894C2semidirect
20. #11731671C2semidirect
21. #11731600C2semidirect
22. #11731024C2semidirect
23. #11731022C2semidirect
24. #11731016C2semidirect
25. #11731015C2semidirect
26. #11731005C2semidirect
27. #11730921C2semidirect
28. #11730909C2semidirect
29. #11730881C2semidirect
30. C4×#6439C2semidirect
31. C42×D28C2semidirect
33. C2×C4×C7×Q8C22semidirect
41. #90369C4semidirect
53. C2×(C22⋊D7)⋊C4C22semidirect
59. C2×#6440C22semidirect
65. C2×C42×D7C22semidirect
66. C7×#391C22semidirect
70. C7×#388C22semidirect
71. C7×#388C22semidirect
72. C7×#382C22semidirect
75. C4×C7×C22⋊C4C22semidirect
76. C4×C7×C22⋊C4C22semidirect
77. C43×C7C22semidirect
78. #90002C22semidirect
79. #90002C22semidirect
84. #89985C22semidirect
87. C2×C7⋊#95C22semidirect
90. #89762C22semidirect
91. #89762C22semidirect
96. #89761C22semidirect
97. #89750C22semidirect
98. C4⋊C4×Dic7C22semidirect
99. C4⋊C4×Dic7C22semidirect
100. #89744C22semidirect
101. #89744C22semidirect
104. #89729C22semidirect
109. #89728C22semidirect
112. #89723C22semidirect
113. #89723C22semidirect
115. #89722C22semidirect
123. C22⋊C4×Dic7C22semidirect
124. C22⋊C4×Dic7C22semidirect
125. C22⋊C4×Dic7C22semidirect
129. #89712C22semidirect
140. C4×(C2×D7)⋊C4C22semidirect
141. C4×(C2×D7)⋊C4C22semidirect
142. C4×(C2×D7)⋊C4C22semidirect
143. #89709C22semidirect
144. C4×C4⋊Dic7C22semidirect
145. C4×C4⋊Dic7C22semidirect
146. C4×C4⋊Dic7C22semidirect
147. #89705C22semidirect
148. #89705C22semidirect
149. #89705C22semidirect
150. #89705C22semidirect
151. C4×Dic7⋊C4C22semidirect
152. C4×Dic7⋊C4C22semidirect
153. C4×Dic7⋊C4C22semidirect
154. C4×Dic7⋊C4C22semidirect
155. #89700C22semidirect
158. #89442C22semidirect
162. #89439C22semidirect
168. #89438C22semidirect
173. #89436C22semidirect
176. #89427C22semidirect
177. #89427C22semidirect
178. #89426C22semidirect
179. #89425C22semidirect
180. #89425C22semidirect
181. #89425C22semidirect
182. #89424C22semidirect
183. #89421C22semidirect
184. #89421C22semidirect
185. #89420C22semidirect
186. #89420C22semidirect
187. #89419C22semidirect
214. C7×#124C2×C4semidirect
248. #6510C2×C4semidirect
249. #6509C2×C4semidirect
250. #6502C2×C4semidirect
251. #6500C2×C4semidirect
315. #6449C2×C4semidirect
316. #6447C2×C4semidirect
317. #6447C2×C4semidirect
318. #6446C2×C4semidirect
319. #6445C2×C4semidirect
324. (C22⋊D7)⋊C4C2×C4semidirect
328. D7×C22⋊C4C2×C4semidirect
329. #6442C2×C4semidirect
331. #6439C2×C4semidirect
334. C4×D28C2×C4semidirect
400. C4×#124D7semidirect
621. C2×C4×Q8C2×D7semidirect
644. #391C2×D7semidirect
676. #388C2×D7semidirect
677. #388C2×D7semidirect
715. #382C2×D7semidirect
756. C4×C22⋊C4C2×D7semidirect
757. C4×C22⋊C4C2×D7semidirect
763. C43C2×D7semidirect
937. #124C4×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×#903692
C4×C7×#1242
#117403992
#117399352
#117399112
#117398432
#117397872
#117340612
#117339402
#117338772
#117337502
#117332812
D7×#3882
#117329332
#117329312
#117329222
#117328982
#117328972
#117328942
#117316712
#117316002
#117310242
#117310222
#117310162
#117310152
#117310052
#117309212
#117309092
#117308812
C4×#64392
C42×D282
#342837