Finite Group Databasebeta

← #13515111

Subgroups — #13515111

Order 1792.

2634 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90348C211yesmaximal, characteristic
2C7×#2374C211yesmaximal, characteristic, complemented
3#11740283C211yesmaximal, characteristic, complemented
4#11733874C211yesmaximal, characteristic, complemented
5#11733749C211yesmaximal, characteristic, complemented
6#11733274C211yesmaximal, characteristic, complemented
7#11733271C211yesmaximal, characteristic, complemented
8#11733270C211yesmaximal, characteristic, complemented
9#11732931C211yesmaximal, characteristic, complemented
10#11732928C211yesmaximal, characteristic, complemented
11#11732928C211yesmaximal, characteristic, complemented
12#11732927C211yesmaximal, characteristic, complemented
13#11732897C211yesmaximal, characteristic, complemented
14#11732753C211yesmaximal, characteristic, complemented
15#11732745C211yesmaximal, characteristic, complemented
16#11732417C211yesmaximal, characteristic, complemented
17#11732382C211yesmaximal, characteristic, complemented
18#11732326C211yesmaximal, characteristic, complemented
19#11732104C211yesmaximal, characteristic, complemented
20C4×#6460C211yesmaximal, characteristic, complemented
21#11731196C211yesmaximal, characteristic, complemented
22#11731112C211yesmaximal, characteristic, complemented
23#11731111C211yesmaximal, characteristic, complemented
24C4×#6445C211yesmaximal, characteristic, complemented
25#11731007C211yesmaximal, characteristic, complemented
26C4×D7×C22⋊C4C211yesmaximal, characteristic, complemented
27#11730922C211yesmaximal, characteristic, complemented
28#11730917C211yesmaximal, characteristic, complemented
29#11730916C211yesmaximal, characteristic, complemented
30#11730914C211yesmaximal, characteristic, complemented
31#11730881C211yesmaximal, characteristic, complemented
32C23×C4×D7C2211yescharacteristic
33C2×C7×#123C2211yescharacteristic
34C2×#6501C2211yescharacteristic
35C2×#6500C2211yescharacteristic
36C2×D4×Dic7C2211yescharacteristic
37C2×#6493C2211yescharacteristic
38C2×C4×C22⋊D7C2211yescharacteristic
39C2×C4×C22⋊D7C2211yescharacteristic
40C2×#6489C2211yescharacteristic, complemented
41#90348C4116yescomplemented
42C2×#6461C2211yescharacteristic
43C2×#6460C2211yescharacteristic
44C2×#6457C2211yescharacteristic
45C2×#6456C2211yescharacteristic
46C2×#6456C2211yescharacteristic
47C2×#6455C2211yescharacteristic, complemented
48C2×#6448C2211yescharacteristic
49C2×#6448C2211yescharacteristic
50C2×#6447C2211yescharacteristic
51C2×#6445C2211yescharacteristic
52C2×(C22⋊D7)⋊C4C2211yescharacteristic
53C2×(C22⋊D7)⋊C4C2211yescharacteristic
54C2×(C22⋊D7)⋊C4C2211yescharacteristic
55C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
56C2×D7×C22⋊C4C2211yescharacteristic
57C2×D7×C22⋊C4C2211yescharacteristic
58C2×#6442C2211yescharacteristic
59C2×C4×D28C2211yescharacteristic
60C2×C4×D28C2211yescharacteristic
61C2×C42×D7C2211yescharacteristic
62C2×C42×D7C2211yescharacteristic
63C2×C4×Dic14C2211yescharacteristic, complemented
64C7×#390C2211yescharacteristic
65C7×#388C2211yescharacteristic
66C7×#388C2211yescharacteristic
67C7×#388C2211yescharacteristic, complemented
68C7×#388C2211yescharacteristic, complemented
69C7×#387C2211yescharacteristic, complemented
70C7×#387C2211yescharacteristic, complemented
71C7×#386C2211yescharacteristic
72C4×C7×C4⋊C4C2211yescharacteristic, complemented
73C4×C7×C4⋊C4C2211yescharacteristic, complemented
74C4×C7×C22⋊C4C2211yescharacteristic
75C4×C7×C22⋊C4C2211yescharacteristic
76C4×C7×C22⋊C4C2211yescharacteristic, complemented
77C4×C7×C22⋊C4C2211yescharacteristic, complemented
78#89992C2211yescharacteristic
79#89982C2211yescharacteristic
80C4×C22⋊Dic7C2211yescharacteristic
81C2×C7⋊#95C2211yescharacteristic, complemented
82#89762C2211yescharacteristic
83#89762C2211yescharacteristic
84#89762C2211yescharacteristic
85#89762C2211yescharacteristic, complemented
86#89761C2211yescharacteristic
87#89759C2211yescharacteristic
88#89757C2211yescharacteristic, complemented
89#89753C2211yescharacteristic, complemented
90#89753C2211yescharacteristic, complemented
91C4⋊C4×Dic7C2211yescharacteristic, complemented
92C4⋊C4×Dic7C2211yescharacteristic, complemented
93#89746C2211yescharacteristic, complemented
94#89745C2211yescharacteristic, complemented
95#89744C2211yescharacteristic, complemented
96#89730C2211yescharacteristic
97#89730C2211yescharacteristic
98#89730C2211yescharacteristic, complemented
99#89729C2211yescharacteristic
100#89729C2211yescharacteristic
101#89729C2211yescharacteristic, complemented
102#89728C2211yescharacteristic
103#89728C2211yescharacteristic
104#89728C2211yescharacteristic
105#89728C2211yescharacteristic
106#89728C2211yescharacteristic, complemented
107#89727C2211yescharacteristic
108#89727C2211yescharacteristic
109#89723C2211yescharacteristic
110#89723C2211yescharacteristic
111#89722C2211yescharacteristic
112#89722C2211yescharacteristic, complemented
113#89717C2211yescharacteristic
114#89717C2211yescharacteristic
115#89717C2211yescharacteristic
116#89717C2211yescharacteristic, complemented
117#89717C2211yescharacteristic, complemented
118#89716C2211yescharacteristic
119C22⋊C4×Dic7C2211yescharacteristic
120C22⋊C4×Dic7C2211yescharacteristic
121C22⋊C4×Dic7C2211yescharacteristic
122C22⋊C4×Dic7C2211yescharacteristic, complemented
123C22⋊C4×Dic7C2211yescharacteristic, complemented
124C22⋊C4×Dic7C2211yescharacteristic, complemented
125#89712C2211yescharacteristic
126#89712C2211yescharacteristic
127#89712C2211yescharacteristic, complemented
128#89712C2211yescharacteristic, complemented
129#89711C2211yescharacteristic
130C4×(C2×D7)⋊C4C2211yescharacteristic
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, complemented
138C4×(C2×D7)⋊C4C2211yescharacteristic, complemented
139C4×C4⋊Dic7C2211yescharacteristic, complemented
140C4×C4⋊Dic7C2211yescharacteristic, complemented
141#89705C2211yescharacteristic, complemented
142#89704C2211yescharacteristic, complemented
143#89704C2211yescharacteristic, complemented
144C4×Dic7⋊C4C2211yescharacteristic, complemented
145C4×Dic7⋊C4C2211yescharacteristic, complemented
146C4×Dic7⋊C4C2211yescharacteristic, complemented
147#89700C2211yescharacteristic, complemented
148#89442C2211yescharacteristic
149#89441C2211yescharacteristic
150#89441C2211yescharacteristic
151#89441C2211yescharacteristic, complemented
152#89440C2211yescharacteristic
153#89440C2211yescharacteristic
154#89440C2211yescharacteristic
155#89440C2211yescharacteristic
156#89440C2211yescharacteristic
157#89440C2211yescharacteristic, complemented
158#89439C2211yescharacteristic
159#89438C2211yescharacteristic
160#89438C2211yescharacteristic
161#89438C2211yescharacteristic
162#89438C2211yescharacteristic
163#89438C2211yescharacteristic
164#89438C2211yescharacteristic, complemented
165#89438C2211yescharacteristic, complemented
166#89438C2211yescharacteristic, complemented
167#89437C2211yescharacteristic
168#89437C2211yescharacteristic
169#89437C2211yescharacteristic
170#89437C2211yescharacteristic
171D7×#95C2211yescharacteristic
172D7×#95C2211yescharacteristic
173D7×#95C2211yescharacteristic, complemented
174#89427C2211yescharacteristic, complemented
175#89427C2211yescharacteristic, complemented
176#89427C2211yescharacteristic, complemented
177#89426C2211yescharacteristic, complemented
178#89425C2211yescharacteristic, complemented
179#89425C2211yescharacteristic, complemented
180#89425C2211yescharacteristic, complemented
181#89421C2211yescharacteristic, complemented
182#89421C2211yescharacteristic, complemented
183#89421C2211yescharacteristic, complemented
184#89420C2211yescharacteristic, complemented
185#89420C2211yescharacteristic, complemented
186#89418C2211yescharacteristic, complemented
187#89418C2211yescharacteristic, complemented
188#34277—71nomaximal, Sylow
189C24×D7C2311yescharacteristic
190C22×C7×D4C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C23×C4×C7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C22×C22⋊D7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C23×Dic7C2311yescharacteristic
198C23×Dic7C2311yescharacteristic
199C23×Dic7C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×C4×D7—24no—
203C22×C4×D7—42no—
204C22×C4×D7—42no—
205C22×C4×D7C2311yescharacteristic
206C22×C4×D7C2311yescharacteristic
207C22×C4×D7C2311yescharacteristic
208C22×C4×D7C2311yescharacteristic
209C22×C4×D7C2311yescharacteristic
210C22×C4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×Dic14C2311yescharacteristic
217C7×#123C2×C418yescomplemented
218C2×C7×C4⋊C4C2311yescharacteristic
219C2×C7×C4⋊C4C2311yescharacteristic
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×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#6501C2×C418yescomplemented
249#6500C2×C418yescomplemented
250D4×Dic7—42no—
251#6493C2×C418yescomplemented
252C4×C22⋊D7—42no—
253C4×C22⋊D7C2×C418yescomplemented
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
278#6489—42no—
279C2×C4⋊Dic7C2311yescharacteristic
280C2×C4⋊Dic7C2311yescharacteristic
281C2×C4⋊Dic7C2311yescharacteristic
282C2×C4⋊Dic7C2311yescharacteristic
283C2×C4⋊Dic7C2311yescharacteristic
284C2×C4⋊Dic7C2311yescharacteristic
285C2×C4⋊Dic7C2311yescharacteristic
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
313C2×C4×Dic7C2311yescharacteristic
314C2×C4×Dic7C2311yescharacteristic
315#6461C2×C418yescomplemented
316#6460C2×C418yescomplemented
317#6457C2×C418yescomplemented
318#6456—24no—
319#6456C2×C418yescomplemented
320#6455—42no—
321#6448C2×C418yescomplemented
322#6448C2×C418yescomplemented
323#6447C2×C418yescomplemented
324#6445C2×C418yescomplemented
325(C22⋊D7)⋊C4—24no—
326(C22⋊D7)⋊C4—24no—
327(C22⋊D7)⋊C4—42no—
328(C22⋊D7)⋊C4—42no—
329D7×C22⋊C4—24no—
330D7×C22⋊C4C2×C418yescomplemented
331#6442C2×C418yescomplemented
332C4×D28—24no—
333C4×D28—42no—
334C42×D7—42no—
335C42×D7—42no—
336C4×Dic14—42no—
337C7×#95C2311yescharacteristic
338C7×#95C2311yescharacteristic
339C7×#95C2311yescharacteristic
340C7×#95C2311yescharacteristic
341C7×#95C2311yescharacteristic
342C7×#95C2311yescharacteristic
343C7×#95C2311yescharacteristic
344C7×#95C2311yescharacteristic
345C7×#95C2311yescharacteristic
346C7×#95C2311yescharacteristic
347C7⋊#95C2311yescharacteristic
348C7⋊#95C2311yescharacteristic
349C7⋊#95C2311yescharacteristic
350C7⋊#95C2311yescharacteristic
351C7⋊#95C2311yescharacteristic
352C7⋊#95C2311yescharacteristic
353C7⋊#95C2311yescharacteristic
354C7⋊#95C2311yescharacteristic
355C7⋊#95C2311yescharacteristic
356C7⋊#95C2311yescharacteristic
357C7⋊#95C2311yescharacteristic
358C7⋊#95C2311yescharacteristic
359C7⋊#95C2311yescharacteristic
360C7⋊#95C2311yescharacteristic
361C7⋊#95C2311yescharacteristic
362C7⋊#95C2311yescharacteristic
363C7⋊#95C2311yescharacteristic
364C7⋊#95C2311yescharacteristic
365C7⋊#95C2311yescharacteristic
366C7⋊#95C2311yescharacteristic
367C7⋊#95C2311yescharacteristic
368C7⋊#95C2311yescharacteristic
369C7⋊#95C2311yescharacteristic
370C7⋊#95C2311yescharacteristic
371C7⋊#95C2311yescharacteristic
372C7⋊#95C2311yescharacteristic
373C7⋊#95C2311yescharacteristic
374C7⋊#95C2311yescharacteristic
375C7⋊#95C2311yescharacteristic
376C7⋊#95C2311yescharacteristic
377C2×#538—71no—
378#2374—71no—
379#2374D711yescharacteristic, complemented
380#2373—71no—
381#2373—71no—
382#2373—71no—
383#2373—71no—
384#2372—71no—
385#2372—71no—
386#2367—71no—
387#2367—71no—
388#2364—71no—
389#2364—71no—
390#2363—71no—
391#2363—71no—
392#2359—71no—
393#2359—71no—
394#2329—71no—
395#2325—71no—
396#2321—71no—
397#2321—71no—
398#2312—71no—
399C4×C22⋊Q8—71no—
400C4×#121—71no—
401C4×#120—71no—
402C4×#120—71no—
403#2290—71no—
404#2290—71no—
405#2275—71no—
406#2275—71no—
407C2×C4×C22⋊C4—71no—
408C24×C7C2411yescharacteristic
409C24×C7C2411yescharacteristic
410C23×D7—22no—
411C23×D7—22no—
412C23×D7—41no—
413C23×D7—41no—
414C23×D7—41no—
415C23×D7—41no—
416C23×D7C22×C414yes—
417C23×D7C2411yescharacteristic
418C23×D7C2411yescharacteristic
419C23×D7C2411yescharacteristic
420C2×C7×D4—41no—
421C2×C7×D4—41no—
422C2×C7×D4C22×C414yes—
423C22×C4×C7—22no—
424C22×C4×C7—22no—
425C22×C4×C7—41no—
426C22×C4×C7—41no—
427C22×C4×C7—41no—
428C22×C4×C7C22×C414yescomplemented
429C22×C4×C7C2411yescharacteristic
430C22×C4×C7C2411yescharacteristic
431C22×C4×C7C2411yescharacteristic
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
442C2×C22⋊D7—22no—
443C2×C22⋊D7—22no—
444C2×C22⋊D7—41no—
445C2×C22⋊D7—41no—
446C2×C22⋊D7—41no—
447C2×C22⋊D7—41no—
448C2×C22⋊D7—41no—
449C2×C22⋊D7—41no—
450C2×C22⋊D7C22×C414yes—
451C2×C22⋊D7C22×C414yes—
452C2×C22⋊D7C22×C414yes—
453C2×C22⋊D7C22×C414yescomplemented
454C22×Dic7—22no—
455C22×Dic7—22no—
456C22×Dic7—22no—
457C22×Dic7—22no—
458C22×Dic7—41no—
459C22×Dic7—41no—
460C22×Dic7—41no—
461C22×Dic7—41no—
462C22×Dic7—41no—
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470C22×Dic7C2411yescharacteristic
471C22×Dic7C2411yescharacteristic
472C22×Dic7C2411yescharacteristic
473C22×Dic7C2411yescharacteristic
474C22×Dic7C2411yescharacteristic
475C22×Dic7C2411yescharacteristic
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—41no—
479C2×D28—41no—
480C2×D28C22×C414yes—
481C2×D28C22×C414yes—
482C2×C4×D7—22no—
483C2×C4×D7—22no—
484C2×C4×D7—22no—
485C2×C4×D7—22no—
486C2×C4×D7—22no—
487C2×C4×D7—22no—
488C2×C4×D7—22no—
489C2×C4×D7—22no—
490C2×C4×D7—22no—
491C2×C4×D7—22no—
492C2×C4×D7—416no—
493C2×C4×D7—41no—
494C2×C4×D7—41no—
495C2×C4×D7—41no—
496C2×C4×D7—41no—
497C2×C4×D7—41no—
498C2×C4×D7—41no—
499C2×C4×D7—41no—
500C2×C4×D7—41no—
501C2×C4×D7—41no—
502C2×C4×D7—41no—
503C2×C4×D7—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×D7C22×C414yes—
512C2×C4×D7C22×C414yes—
513C2×C4×D7C22×C414yescomplemented
514C2×C4×D7#4114yes—
515C2×C4×D7#4114yes—
516C2×Dic14—41no—
517C2×Dic14—41no—
518C2×Dic14C22×C414yescomplemented
519C7×C4⋊C4—22no—
520C7×C4⋊C4—41no—
521C7×C4⋊C4—41no—
522C7×C4⋊C4C22×C414yescomplemented
523C7×C4⋊C4C22×C414yescomplemented
524C7×C22⋊C4—22no—
525C7×C22⋊C4—22no—
526C7×C22⋊C4—22no—
527C7×C22⋊C4—22no—
528C7×C22⋊C4—41no—
529C7×C22⋊C4—41no—
530C7×C22⋊C4—41no—
531C7×C22⋊C4C22×C414yes—
532C7×C22⋊C4C22×C414yes—
533C7×C22⋊C4C22×C414yescomplemented
534C42×C7—22no—
535C42×C7—22no—
536C42×C7—41no—
537C42×C7—41no—
538C42×C7—41no—
539C42×C7—41no—
540C42×C7—41no—
541C22⋊Dic7—22no—
542C22⋊Dic7—22no—
543C22⋊Dic7—41no—
544C22⋊Dic7—41no—
545C22⋊Dic7—41no—
546C22⋊Dic7C22×C414yes—
547C22⋊Dic7C22×C414yes—
548C22⋊Dic7C22×C414yescomplemented
549(C2×D7)⋊C4—22no—
550(C2×D7)⋊C4—22no—
551(C2×D7)⋊C4—22no—
552(C2×D7)⋊C4—22no—
553(C2×D7)⋊C4—22no—
554(C2×D7)⋊C4—22no—
555(C2×D7)⋊C4—22no—
556(C2×D7)⋊C4—22no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—41no—
560(C2×D7)⋊C4—41no—
561(C2×D7)⋊C4—41no—
562(C2×D7)⋊C4—41no—
563(C2×D7)⋊C4—41no—
564(C2×D7)⋊C4—41no—
565(C2×D7)⋊C4C22×C414yes—
566(C2×D7)⋊C4C22×C414yes—
567(C2×D7)⋊C4C22×C414yes—
568(C2×D7)⋊C4C22×C414yes—
569(C2×D7)⋊C4C22×C414yes—
570(C2×D7)⋊C4C22×C414yes—
571(C2×D7)⋊C4C22×C414yescomplemented
572(C2×D7)⋊C4C22×C414yescomplemented
573C4⋊Dic7—22no—
574C4⋊Dic7—22no—
575C4⋊Dic7—22no—
576C4⋊Dic7—41no—
577C4⋊Dic7—41no—
578C4⋊Dic7C22×C414yescomplemented
579C4⋊Dic7C22×C414yescomplemented
580Dic7⋊C4—22no—
581Dic7⋊C4—22no—
582Dic7⋊C4—22no—
583Dic7⋊C4—22no—
584Dic7⋊C4—41no—
585Dic7⋊C4—41no—
586Dic7⋊C4—41no—
587Dic7⋊C4—41no—
588Dic7⋊C4C22×C414yescomplemented
589Dic7⋊C4C22×C414yescomplemented
590C4×Dic7—22no—
591C4×Dic7—22no—
592C4×Dic7—22no—
593C4×Dic7—22no—
594C4×Dic7—22no—
595C4×Dic7—22no—
596C4×Dic7—41no—
597C4×Dic7—41no—
598C4×Dic7—41no—
599C4×Dic7—41no—
600C4×Dic7—41no—
601C4×Dic7—41no—
602C4×Dic7—41no—
603C4×Dic7—41no—
604C4×Dic7—41no—
605C4×Dic7—41no—
606C4×Dic7—41no—
607C4×Dic7C22×C414yescomplemented
608C4×Dic7C22×C414yescomplemented
609C24×C4—71no—
610#538—716no—
611C2×#126—71no—
612C2×#126—71no—
613C2×#124—71no—
614C2×#124—71no—
615C2×#123—71no—
616C2×#123C2×D711yescharacteristic
617C2×C22⋊Q8—71no—
618C2×#121—71no—
619C2×#121—71no—
620C2×#121—71no—
621C2×#120—71no—
622C2×#120—71no—
623C2×C4×Q8—71no—
624C2×C4×D4—71no—
625C2×C4×D4—71no—
626C2×C4×D4—71no—
627C2×C4×D4—71no—
628C2×C4×D4—71no—
629C2×C4×D4—71no—
630C2×C4×D4—71no—
631C2×C4×D4—71no—
632C2×C4×D4—71no—
633C2×C4×D4—71no—
634C2×C4×D4—71no—
635C2×#117—71no—
636C2×#117—71no—
637C22×C22⋊C4—71no—
638C22×C22⋊C4—71no—
639C22×C42—71no—
640C22×C42—71no—
641#391—71no—
642#391—71no—
643#391—71no—
644#390—71no—
645#390—71no—
646#390—71no—
647#390—71no—
648#390C2×D711yescharacteristic
649#389—71no—
650#389—71no—
651#389—71no—
652#389—71no—
653#388—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#388C2×D711yescharacteristic
674#388C2×D711yescharacteristic
675#388C2×D711yescharacteristic, complemented
676#388C2×D711yescharacteristic, complemented
677#387—71no—
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#387C2×D711yescharacteristic, complemented
688#387C2×D711yescharacteristic, complemented
689#386—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#386C2×D711yescharacteristic
703#385—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#380—71no—
714#380—71no—
715#379—71no—
716#379—71no—
717C4×C4⋊C4—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⋊C4C2×D711yescharacteristic, complemented
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⋊C4C2×D711yescharacteristic
754C4×C22⋊C4C2×D711yescharacteristic
755C4×C22⋊C4C2×D711yescharacteristic, complemented
756C4×C22⋊C4C2×D711yescharacteristic, complemented
757#376—71no—
758#376—71no—
759#376—71no—
760#376—71no—
761C2×#95—71no—
762C2×#95—71no—
763C2×#95—71no—
764C2×#95—71no—
765C23×C7—21no—
766C23×C7—21no—
767C23×C7—21no—
768C23×C7—21no—
769C23×C7—21no—
770C23×C7—21no—
771C23×C7—21no—
772C23×C7—21no—
773C23×C7—21no—
774C23×C7—21no—
775C23×C7—21no—
776C23×C7—21no—
777C23×C7C23×C412yes—
778C23×C7C23×C412yes—
779C23×C7C2511yescharacteristic
780C22×D7—21no—
781C22×D7—21no—
782C22×D7—21no—
783C22×D7—21no—
784C22×D7—21no—
785C22×D7—21no—
786C22×D7—21no—
787C22×D7—21no—
788C22×D7—21no—
789C22×D7—21no—
790C22×D7—21no—
791C22×D7—21no—
792C22×D7—21no—
793C22×D7—21no—
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—28no—
797C22×D7—44no—
798C22×D7—44no—
799C22×D7—44no—
800C22×D7—44no—
801C22×D7—44no—
802C22×D7—44no—
803C22×D7C23×C412yes—
804C22×D7C23×C412yes—
805C22×D7C23×C412yes—
806C22×D7C2×#4112yes—
807C22×D7C2×#4112yes—
808C7×D4—44no—
809C2×C4×C7—21no—
810C2×C4×C7—21no—
811C2×C4×C7—21no—
812C2×C4×C7—21no—
813C2×C4×C7—21no—
814C2×C4×C7—21no—
815C2×C4×C7—21no—
816C2×C4×C7—21no—
817C2×C4×C7—21no—
818C2×C4×C7—21no—
819C2×C4×C7—21no—
820C2×C4×C7—21no—
821C2×C4×C7—21no—
822C2×C4×C7—21no—
823C2×C4×C7—21no—
824C2×C4×C7—21no—
825C2×C4×C7—21no—
826C2×C4×C7—21no—
827C2×C4×C7—21no—
828C2×C4×C7—21no—
829C2×C4×C7—21no—
830C2×C4×C7—21no—
831C2×C4×C7—21no—
832C2×C4×C7—21no—
833C2×C4×C7—21no—
834C2×C4×C7—21no—
835C2×C4×C7—21no—
836C2×C4×C7—21no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—44no—
841C2×C4×C7—44no—
842C2×C4×C7C23×C412yes—
843C2×C4×C7C23×C412yes—
844C2×C4×C7C23×C412yes—
845C2×C4×C7C23×C412yes—
846C2×C4×C7C23×C412yes—
847C2×C4×C7C2×#4112yes—
848C2×C4×C7C2×#4112yes—
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—44no—
886C2×Dic7—82no—
887C2×Dic7—82no—
888C2×Dic7C23×C412yes—
889C2×Dic7C23×C412yes—
890C2×Dic7C23×C412yes—
891C2×Dic7C23×C412yes—
892C2×Dic7C23×C412yes—
893C2×Dic7C2×#4112yes—
894C2×Dic7C2×#4112yes—
895C2×Dic7H(5,𝔽2)12yes—
896D28—28no—
897D28—44no—
898C4×D7—28no—
899C4×D7—44no—
900C4×D7—44no—
901C4×D7—44no—
902C4×D7—44no—
903C4×D7—44no—
904C4×D7—44no—
905C4×D7—44no—
906C4×D7—44no—
907C4×D7—82no—
908C4×D7—82no—
909Dic14—44no—
910C25—71no—
911C22×Q8—71no—
912C22×D4—71no—
913C22×D4—71no—
914C22×D4—71no—
915C22×D4—71no—
916C22×D4—71no—
917C22×D4—71no—
918C22×D4C22×D711yescharacteristic
919C23×C4—71no—
920C23×C4—71no—
921C23×C4—71no—
922C23×C4—71no—
923C23×C4—71no—
924C23×C4—71no—
925C23×C4—71no—
926C23×C4—71no—
927C23×C4—71no—
928C23×C4—71no—
929C23×C4—71no—
930C23×C4—71no—
931C23×C4—71no—
932C23×C4—71no—
933C23×C4—144no—
934C23×C4—282no—
935C23×C4—282no—
936C23×C4C22×D711yescharacteristic
937C23×C4C22×D711yescharacteristic
938#126—78no—
939#126—78no—
940#124—78no—
941#124—78no—
942#123—78no—
943#123C4×D718yescomplemented
944C22⋊Q8—78no—
945#121—78no—
946#121—78no—
947#121—78no—
948#120—78no—
949#120—78no—
950C4×Q8—282no—
951C4×D4—78no—
952C4×D4—78no—
953C4×D4—144no—
954C4×D4—144no—
955C4×D4—144no—
956C4×D4—144no—
957C4×D4—282no—
958C4×D4—282no—
959C4×D4—282no—
960C4×D4—282no—
961C4×D4—282no—
962#117—282no—
963#117—282no—
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⋊C4C22×D711yescharacteristic
982C2×C4⋊C4C22×D711yescharacteristic
983C2×C4⋊C4C22×D711yescharacteristic
984C2×C4⋊C4C22×D711yescharacteristic
985C2×C4⋊C4C22×D711yescharacteristic
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—71no—
995C2×C22⋊C4—71no—
996C2×C22⋊C4—71no—
997C2×C22⋊C4—78no—
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—71no—
1018C2×C22⋊C4—71no—
1019C2×C22⋊C4—144no—
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×C22⋊C4C22×D711yescharacteristic
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×C42—282no—
1051C2×C42C22×D711yescharacteristic
1052C2×C42C22×D711yescharacteristic
1053C2×C42C22×D711yescharacteristic
1054C2×C42C22×D711yescharacteristic
1055C2×C42C22×D711yescharacteristic
1056C2×C42C22×D711yescharacteristic
1057C2×C42C22×D711yescharacteristic
1058#95—71no—
1059#95—71no—
1060#95—71no—
1061#95—71no—
1062#95—71no—
1063#95—71no—
1064#95—71no—
1065#95—71no—
1066#95—71no—
1067#95—71no—
1068#95—71no—
1069#95—71no—
1070#95—71no—
1071#95—71no—
1072#95—71no—
1073#95—71no—
1074#95—71no—
1075#95—71no—
1076#95—71no—
1077#95—71no—
1078#95—71no—
1079#95—71no—
1080#95—71no—
1081#95—71no—
1082#95—71no—
1083#95—71no—
1084#95—71no—
1085#95—71no—
1086#95—71no—
1087#95—71no—
1088#95C22×D711yescharacteristic
1089#95C22×D711yescharacteristic
1090#95C22×D711yescharacteristic
1091#95C22×D711yescharacteristic
1092#95C22×D711yescharacteristic
1093#95C22×D711yescharacteristic
1094#95C22×D711yescharacteristic
1095#95C22×D711yescharacteristic
1096#95C22×D711yescharacteristic
1097#95C22×D711yescharacteristic
1098C22×C7—22no—
1099C22×C7—22no—
1100C22×C7—22no—
1101C22×C7—22no—
1102C22×C7—22no—
1103C22×C7—22no—
1104C22×C7—41no—
1105C22×C7—41no—
1106C22×C7—41no—
1107C22×C7—41no—
1108C22×C7—41no—
1109C22×C7—41no—
1110C22×C7—41no—
1111C22×C7—41no—
1112C22×C7C24×C411yescharacteristic
1113C22×C7C22×#4111yescharacteristic
1114C22×C7C22×#4111yescharacteristic
1115C22×C7C2×H(5,𝔽2)11yescharacteristic
1116C22×C7C2×H(5,𝔽2)11yescharacteristic
1117C22×C7#58511yescharacteristic
1118C22×C7#58511yescharacteristic
1119C2×D7—22no—
1120C2×D7—22no—
1121C2×D7—22no—
1122C2×D7—22no—
1123C2×D7—22no—
1124C2×D7—22no—
1125C2×D7—22no—
1126C2×D7—22no—
1127C2×D7—22no—
1128C2×D7—22no—
1129C2×D7—22no—
1130C2×D7—22no—
1131C2×D7—416no—
1132C2×D7—41no—
1133C2×D7—41no—
1134C2×D7—41no—
1135C2×D7—41no—
1136C2×D7—41no—
1137C2×D7—41no—
1138C2×D7—41no—
1139C2×D7—41no—
1140C2×D7C4×#4114yes—
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—
1153C4×C7—41no—
1154Dic7—22no—
1155Dic7—22no—
1156Dic7—22no—
1157Dic7—22no—
1158Dic7—22no—
1159Dic7—22no—
1160Dic7—22no—
1161Dic7—22no—
1162Dic7—41no—
1163Dic7—41no—
1164Dic7—41no—
1165Dic7—41no—
1166Dic7—41no—
1167C24—71no—
1168C24—71no—
1169C24—71no—
1170C24—74no—
1171C24—142no—
1172C24—142no—
1173C24—281no—
1174C24—281no—
1175C24—281no—
1176C24—281no—
1177C24C23×D711yescharacteristic
1178C24C23×D711yescharacteristic
1179C2×Q8—74no—
1180C2×Q8—281no—
1181C2×Q8—281no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—74no—
1185C2×D4—74no—
1186C2×D4—74no—
1187C2×D4—74no—
1188C2×D4—74no—
1189C2×D4—74no—
1190C2×D4—142no—
1191C2×D4—142no—
1192C2×D4—142no—
1193C2×D4—142no—
1194C2×D4—281no—
1195C2×D4—281no—
1196C2×D4—281no—
1197C2×D4—281no—
1198C2×D4—281no—
1199C2×D4—281no—
1200C2×D4—281no—
1201C2×D4—281no—
1202C2×D4C2×C4×D714yes—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—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—71no—
1216C22×C4—74no—
1217C22×C4—74no—
1218C22×C4—74no—
1219C22×C4—74no—
1220C22×C4—74no—
1221C22×C4—71no—
1222C22×C4—71no—
1223C22×C4—71no—
1224C22×C4—71no—
1225C22×C4—71no—
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—142no—
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—2816no—
1259C22×C4—281no—
1260C22×C4—281no—
1261C22×C4—281no—
1262C22×C4—281no—
1263C22×C4—281no—
1264C22×C4C2×C4×D714yescomplemented
1265C22×C4C23×D711yescharacteristic
1266C22×C4C23×D711yescharacteristic
1267C22×C4C23×D711yescharacteristic
1268C22×C4C23×D711yescharacteristic
1269C22×C4C23×D711yescharacteristic
1270C22×C4C23×D711yescharacteristic
1271C22×C4C23×D711yescharacteristic
1272C22×C4C23×D711yescharacteristic
1273C22×C4C23×D711yescharacteristic
1274C22×C4C23×D711yescharacteristic
1275C22×C4C23×D711yescharacteristic
1276C22×C4C23×D711yescharacteristic
1277C22×C4C23×D711yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
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—142no—
1292C4⋊C4—281no—
1293C4⋊C4—281no—
1294C4⋊C4—281no—
1295C4⋊C4—281no—
1296C4⋊C4—281no—
1297C4⋊C4—281no—
1298C4⋊C4C2×C4×D714yescomplemented
1299C4⋊C4C2×C4×D714yescomplemented
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
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⋊C4—281no—
1339C22⋊C4C2×C4×D714yes—
1340C22⋊C4C2×C4×D714yes—
1341C22⋊C4C2×C4×D714yescomplemented
1342C42—22no—
1343C42—22no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—74no—
1350C42—74no—
1351C42—142no—
1352C42—142no—
1353C42—142no—
1354C42—142no—
1355C42—142no—
1356C42—142no—
1357C42—281no—
1358C42—281no—
1359C42—281no—
1360C42—281no—
1361C42—281no—
1362C42—281no—
1363C42—281no—
1364C42—281no—
1365C42—281no—
1366C42—281no—
1367C42—281no—
1368C2×C7—42no—
1369C2×C7—42no—
1370C2×C7C2×C4×#4111yescharacteristic
1371C2×C7C4×H(5,𝔽2)11yescharacteristic
1372C2×C7C4×H(5,𝔽2)11yescharacteristic
1373C2×C7#349011yescharacteristic
1374C2×C7#349311yescharacteristic
1375C2×C7#350511yescharacteristic
1376C2×C7#350611yescharacteristic
1377D7—24no—
1378D7—42no—
1379D7—42no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—72no—
1393C23—72no—
1394C23—72no—
1395C23—72no—
1396C23—72no—
1397C23—148no—
1398C23—141no—
1399C23—141no—
1400C23—141no—
1401C23—141no—
1402C23—141no—
1403C23—141no—
1404C23—141no—
1405C23—141no—
1406C23—141no—
1407C23—141no—
1408C23—141no—
1409C23—141no—
1410C23—141no—
1411C23—141no—
1412C23—141no—
1413C23—141no—
1414C23—284no—
1415C23—284no—
1416C23—284no—
1417C23—284no—
1418C23—284no—
1419C23—284no—
1420C23C22×C4×D712yes—
1421C23C22×C4×D712yes—
1422C23C24×D711yescharacteristic
1423Q8—284no—
1424D4—44no—
1425D4—148no—
1426D4—148no—
1427D4—284no—
1428D4—284no—
1429D4—284no—
1430D4—284no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—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—72no—
1472C2×C4—148no—
1473C2×C4—141no—
1474C2×C4—141no—
1475C2×C4—141no—
1476C2×C4—141no—
1477C2×C4—141no—
1478C2×C4—141no—
1479C2×C4—141no—
1480C2×C4—141no—
1481C2×C4—141no—
1482C2×C4—141no—
1483C2×C4—141no—
1484C2×C4—141no—
1485C2×C4—141no—
1486C2×C4—141no—
1487C2×C4—141no—
1488C2×C4—141no—
1489C2×C4—141no—
1490C2×C4—141no—
1491C2×C4—141no—
1492C2×C4—141no—
1493C2×C4—141no—
1494C2×C4—141no—
1495C2×C4—141no—
1496C2×C4—141no—
1497C2×C4—141no—
1498C2×C4—141no—
1499C2×C4—141no—
1500C2×C4—141no—
1501C2×C4—141no—
1502C2×C4—141no—
1503C2×C4—141no—
1504C2×C4—284no—
1505C2×C4—284no—
1506C2×C4—284no—
1507C2×C4—284no—
1508C2×C4—284no—
1509C2×C4—284no—
1510C2×C4—284no—
1511C2×C4—284no—
1512C2×C4—284no—
1513C2×C4—562no—
1514C2×C4—562no—
1515C2×C4—562no—
1516C2×C4—562no—
1517C2×C4C22×C4×D712yes—
1518C2×C4C22×C4×D712yes—
1519C2×C4C22×C4×D712yes—
1520C2×C4C22×C4×D712yes—
1521C2×C4C22×C4×D712yes—
1522C2×C4D7×#4112yes—
1523C2×C4D7×#4112yes—
1524C2×C4#655312yes—
1525C7#3427711yescharacteristic, complemented, Sylow
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—74no—
1541C22—142no—
1542C22—142no—
1543C22—142no—
1544C22—142no—
1545C22—142no—
1546C22—142no—
1547C22—142no—
1548C22—142no—
1549C22—142no—
1550C22—142no—
1551C22—142no—
1552C22—142no—
1553C22—2816no—
1554C22—281no—
1555C22—281no—
1556C22—281no—
1557C22—281no—
1558C22—281no—
1559C22—281no—
1560C22—281no—
1561C22—281no—
1562C22C23×C4×D711yescharacteristic
1563C22C2×D7×#4111yescharacteristic
1564C22C2×D7×#4111yescharacteristic
1565C22C2×#655311yescharacteristic
1566C22#9061611yescharacteristic
1567C22D7×H(5,𝔽2)11yescharacteristic
1568C22#9061811yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—142no—
1583C4—142no—
1584C4—142no—
1585C4—142no—
1586C4—142no—
1587C4—142no—
1588C4—142no—
1589C4—142no—
1590C4—281no—
1591C4—281no—
1592C4—281no—
1593C4—281no—
1594C4—281no—
1595C2—42no—
1596C2—42no—
1597C2—144no—
1598C2—282no—
1599C2—282no—
1600C2C4×D7×#4111yescharacteristic
1601C2C4×#655311yescharacteristic
1602C2#1174292511yescharacteristic
1603C2#1174388311yescharacteristic
1604C2#1174397811yescharacteristic
1605C2#1174397911yescharacteristic
1606C2#1174413111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutatorC22×C7C24×C4
FittingC7×#2374C2
socle, cosocleC23×C7C25
prime radicalC2×#90348C2
hypercenter#2374D7
hypocenterC7#34277
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2374

Complements

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

NH ≅ G/Ntype
2. C7×#2374C2semidirect
3. #11740283C2semidirect
4. #11733874C2semidirect
5. #11733749C2semidirect
6. #11733274C2semidirect
7. #11733271C2semidirect
8. #11733270C2semidirect
9. #11732931C2semidirect
10. #11732928C2semidirect
11. #11732928C2semidirect
12. #11732927C2semidirect
13. #11732897C2semidirect
14. #11732753C2semidirect
15. #11732745C2semidirect
16. #11732417C2semidirect
17. #11732382C2semidirect
18. #11732326C2semidirect
19. #11732104C2semidirect
20. C4×#6460C2semidirect
21. #11731196C2semidirect
22. #11731112C2semidirect
23. #11731111C2semidirect
24. C4×#6445C2semidirect
25. #11731007C2semidirect
26. C4×D7×C22⋊C4C2semidirect
27. #11730922C2semidirect
28. #11730917C2semidirect
29. #11730916C2semidirect
30. #11730914C2semidirect
31. #11730881C2semidirect
40. C2×#6489C22semidirect
41. #90348C4semidirect
47. C2×#6455C22semidirect
55. C2×(C22⋊D7)⋊C4C22semidirect
63. C2×C4×Dic14C22semidirect
67. C7×#388C22semidirect
68. C7×#388C22semidirect
69. C7×#387C22semidirect
70. C7×#387C22semidirect
72. C4×C7×C4⋊C4C22semidirect
73. C4×C7×C4⋊C4C22semidirect
76. C4×C7×C22⋊C4C22semidirect
77. C4×C7×C22⋊C4C22semidirect
81. C2×C7⋊#95C22semidirect
85. #89762C22semidirect
88. #89757C22semidirect
89. #89753C22semidirect
90. #89753C22semidirect
91. C4⋊C4×Dic7C22semidirect
92. C4⋊C4×Dic7C22semidirect
93. #89746C22semidirect
94. #89745C22semidirect
95. #89744C22semidirect
98. #89730C22semidirect
101. #89729C22semidirect
106. #89728C22semidirect
112. #89722C22semidirect
116. #89717C22semidirect
117. #89717C22semidirect
122. C22⋊C4×Dic7C22semidirect
123. C22⋊C4×Dic7C22semidirect
124. C22⋊C4×Dic7C22semidirect
127. #89712C22semidirect
128. #89712C22semidirect
137. C4×(C2×D7)⋊C4C22semidirect
138. C4×(C2×D7)⋊C4C22semidirect
139. C4×C4⋊Dic7C22semidirect
140. C4×C4⋊Dic7C22semidirect
141. #89705C22semidirect
142. #89704C22semidirect
143. #89704C22semidirect
144. C4×Dic7⋊C4C22semidirect
145. C4×Dic7⋊C4C22semidirect
146. C4×Dic7⋊C4C22semidirect
147. #89700C22semidirect
151. #89441C22semidirect
157. #89440C22semidirect
164. #89438C22semidirect
165. #89438C22semidirect
166. #89438C22semidirect
173. D7×#95C22semidirect
174. #89427C22semidirect
175. #89427C22semidirect
176. #89427C22semidirect
177. #89426C22semidirect
178. #89425C22semidirect
179. #89425C22semidirect
180. #89425C22semidirect
181. #89421C22semidirect
182. #89421C22semidirect
183. #89421C22semidirect
184. #89420C22semidirect
185. #89420C22semidirect
186. #89418C22semidirect
187. #89418C22semidirect
217. C7×#123C2×C4semidirect
248. #6501C2×C4semidirect
249. #6500C2×C4semidirect
251. #6493C2×C4semidirect
253. C4×C22⋊D7C2×C4semidirect
315. #6461C2×C4semidirect
316. #6460C2×C4semidirect
317. #6457C2×C4semidirect
319. #6456C2×C4semidirect
321. #6448C2×C4semidirect
322. #6448C2×C4semidirect
323. #6447C2×C4semidirect
324. #6445C2×C4semidirect
330. D7×C22⋊C4C2×C4semidirect
331. #6442C2×C4semidirect
379. #2374D7semidirect
428. C22×C4×C7C22×C4semidirect
453. C2×C22⋊D7C22×C4semidirect
513. C2×C4×D7C22×C4semidirect
518. C2×Dic14C22×C4semidirect
522. C7×C4⋊C4C22×C4semidirect
523. C7×C4⋊C4C22×C4semidirect
533. C7×C22⋊C4C22×C4semidirect
548. C22⋊Dic7C22×C4semidirect
571. (C2×D7)⋊C4C22×C4semidirect
572. (C2×D7)⋊C4C22×C4semidirect
578. C4⋊Dic7C22×C4semidirect
579. C4⋊Dic7C22×C4semidirect
588. Dic7⋊C4C22×C4semidirect
589. Dic7⋊C4C22×C4semidirect
607. C4×Dic7C22×C4semidirect
608. C4×Dic7C22×C4semidirect
675. #388C2×D7semidirect
676. #388C2×D7semidirect
687. #387C2×D7semidirect
688. #387C2×D7semidirect
727. C4×C4⋊C4C2×D7semidirect
728. C4×C4⋊C4C2×D7semidirect
755. C4×C22⋊C4C2×D7semidirect
756. C4×C22⋊C4C2×D7semidirect
943. #123C4×D7semidirect
1264. C22×C4C2×C4×D7semidirect
1298. C4⋊C4C2×C4×D7semidirect
1299. C4⋊C4C2×C4×D7semidirect
1341. C22⋊C4C2×C4×D7semidirect
1525. C7#34277semidirect

Maximal subgroups

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

subgroupindex
C2×#903482
C7×#23742
#117402832
#117338742
#117337492
#117332742
#117332712
#117332702
#117329312
#117329282
#117329272
#117328972
#117327532
#117327452
#117324172
#117323822
#117323262
#117321042
C4×#64602
#117311962
#117311122
#117311112
C4×#64452
#117310072
C4×D7×C22⋊C42
#117309222
#117309172
#117309162
#117309142
#117308812
#342777