Finite Group Databasebeta

← #13526510

Subgroups — #13526510

Order 1792.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90398C211yesmaximal, characteristic, complemented
2C22×C4×D28C211yesmaximal, characteristic, complemented
3C7×#2852C211yesmaximal, characteristic, complemented
4#11740557C211yesmaximal, characteristic, complemented
5#11739519C211yesmaximal, characteristic, complemented
6#11733346C211yesmaximal, characteristic, complemented
7#11733301C211yesmaximal, characteristic, complemented
8#11733295C211yesmaximal, characteristic, complemented
9#11733293C211yesmaximal, characteristic, complemented
10#11733292C211yesmaximal, characteristic, complemented
11#11733274C211yesmaximal, characteristic, complemented
12#11732824C211yesmaximal, characteristic, complemented
13#11732766C211yesmaximal, characteristic, complemented
14#11732761C211yesmaximal, characteristic, complemented
15#11732742C211yesmaximal, characteristic, complemented
16#11732445C211yesmaximal, characteristic, complemented
17#11732437C211yesmaximal, characteristic, complemented
18#11732381C211yesmaximal, characteristic, complemented
19#11732336C211yesmaximal, characteristic, complemented
20#11732335C211yesmaximal, characteristic, complemented
21#11732332C211yesmaximal, characteristic
22#11732155C211yesmaximal, characteristic, complemented
23#11732104C211yesmaximal, characteristic, complemented
24#11732100C211yesmaximal, characteristic, complemented
25#11732044C211yesmaximal, characteristic, complemented
26D7×#385C211yesmaximal, characteristic, complemented
27#11731898C211yesmaximal, characteristic, complemented
28#11731887C211yesmaximal, characteristic, complemented
29#11731858C211yesmaximal, characteristic, complemented
30#11731740C211yesmaximal, characteristic, complemented
31#11731722C211yesmaximal, characteristic, complemented
32C23×D28C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C23×C4×D7C2211yescharacteristic
35C2×C7×#126C2211yescharacteristic, complemented
36C22×C42×C7C2211yescharacteristic
37C2×#6500C2211yescharacteristic
38C2×#6500C2211yescharacteristic
39C2×D4×Dic7C2211yescharacteristic
40C22×(C2×D7)⋊C4C2211yescharacteristic
41C22×(C2×D7)⋊C4C2211yescharacteristic
42C22×C4⋊Dic7C2211yescharacteristic
43#90398—28no—
44C2×#6461C2211yescharacteristic, complemented
45C2×#6460C2211yescharacteristic, complemented
46C2×#6459C2211yescharacteristic, complemented
47C2×#6459C2211yescharacteristic, complemented
48C2×#6457C2211yescharacteristic
49C2×#6457C2211yescharacteristic
50C2×D7×C4⋊C4C2211yescharacteristic, complemented
51C2×D7×C4⋊C4C2211yescharacteristic, complemented
52C2×#6453C2211yescharacteristic, complemented
53C2×#6449C2211yescharacteristic, complemented
54C2×#6447C2211yescharacteristic
55C2×#6447C2211yescharacteristic
56C2×#6446C2211yescharacteristic, complemented
57C2×#6446C2211yescharacteristic, complemented
58C2×#6446C2211yescharacteristic, complemented
59C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
60C2×(C22⋊D7)⋊C4C2211yescharacteristic, complemented
61C2×D7×C22⋊C4C2211yescharacteristic
62C2×D7×C22⋊C4C2211yescharacteristic
63C2×#6441C2211yescharacteristic
64C2×#6441C2211yescharacteristic, complemented
65C2×C4×D28—28no—
66C2×C4×D28C2211yescharacteristic
67C2×C4×D28C2211yescharacteristic
68C2×C4×D28C2211yescharacteristic
69C2×C4×D28C2211yescharacteristic
70C2×C4×D28C2211yescharacteristic
71C2×C4×D28C2211yescharacteristic
72C2×C4×D28C2211yescharacteristic
73C2×C4×D28C2211yescharacteristic
74C2×#6433C2211yescharacteristic, complemented
75C7×#388C2211yescharacteristic, complemented
76C7×#388C2211yescharacteristic, complemented
77C7×#388C2211yescharacteristic, complemented
78C7×#387C2211yescharacteristic, complemented
79C7×#387C2211yescharacteristic, complemented
80C7×#387C2211yescharacteristic, complemented
81C7×#386C2211yescharacteristic
82C7×#386C2211yescharacteristic
83C7×#386C2211yescharacteristic
84C7×#385C2211yescharacteristic
85C7×#385C2211yescharacteristic
86C7×#385C2211yescharacteristic
87C7×#383C2211yescharacteristic, complemented
88#89992C2211yescharacteristic
89#89984C2211yescharacteristic
90#89984C2211yescharacteristic
91#89982C2211yescharacteristic
92#89982C2211yescharacteristic
93#89982C2211yescharacteristic
94#89982C2211yescharacteristic
95#89766C2211yescharacteristic, complemented
96#89766C2211yescharacteristic, complemented
97#89766C2211yescharacteristic, complemented
98#89765C2211yescharacteristic, complemented
99#89763C2211yescharacteristic
100#89763C2211yescharacteristic
101#89762C2211yescharacteristic, complemented
102#89761C2211yescharacteristic, complemented
103#89761C2211yescharacteristic, complemented
104#89761C2211yescharacteristic, complemented
105#89761C2211yescharacteristic, complemented
106#89759C2211yescharacteristic, complemented
107#89758C2211yescharacteristic, complemented
108#89757C2211yescharacteristic, complemented
109#89756C2211yescharacteristic, complemented
110#89733C2211yescharacteristic, complemented
111#89733C2211yescharacteristic, complemented
112#89733C2211yescharacteristic, complemented
113#89732C2211yescharacteristic
114#89732C2211yescharacteristic
115#89731C2211yescharacteristic, complemented
116#89730C2211yescharacteristic, complemented
117#89728C2211yescharacteristic, complemented
118#89728C2211yescharacteristic, complemented
119#89728C2211yescharacteristic, complemented
120#89728C2211yescharacteristic, complemented
121#89728C2211yescharacteristic, complemented
122#89727C2211yescharacteristic
123#89727C2211yescharacteristic
124#89727C2211yescharacteristic
125#89727C2211yescharacteristic
126#89722C2211yescharacteristic
127#89722C2211yescharacteristic
128#89722C2211yescharacteristic, complemented
129#89721C2211yescharacteristic, complemented
130#89720C2211yescharacteristic, complemented
131#89718C2211yescharacteristic
132#89714C2211yescharacteristic
133C22⋊C4×Dic7C2211yescharacteristic
134#89708C2211yescharacteristic, complemented
135#89705C2211yescharacteristic, complemented
136#89705C2211yescharacteristic, complemented
137#89705C2211yescharacteristic, complemented
138#89705C2211yescharacteristic, complemented
139#89700C2211yescharacteristic, complemented
140#89700C2211yescharacteristic, complemented
141#89449C2211yescharacteristic, complemented
142#89449C2211yescharacteristic, complemented
143#89447C2211yescharacteristic, complemented
144#89447C2211yescharacteristic, complemented
145#89446C2211yescharacteristic, complemented
146#89446C2211yescharacteristic, complemented
147#89446C2211yescharacteristic, complemented
148#89445C2211yescharacteristic, complemented
149#89444C2211yescharacteristic
150#89444C2211yescharacteristic
151#89444C2211yescharacteristic
152#89444C2211yescharacteristic
153#89442C2211yescharacteristic, complemented
154#89442C2211yescharacteristic, complemented
155#89442C2211yescharacteristic, complemented
156#89441C2211yescharacteristic, complemented
157#89440C2211yescharacteristic, complemented
158#89440C2211yescharacteristic, complemented
159#89440C2211yescharacteristic, complemented
160#89440C2211yescharacteristic, complemented
161#89440C2211yescharacteristic, complemented
162#89440C2211yescharacteristic, complemented
163#89440C2211yescharacteristic, complemented
164#89440C2211yescharacteristic, complemented
165#89440C2211yescharacteristic, complemented
166#89440C2211yescharacteristic, complemented
167#89440C2211yescharacteristic, complemented
168#89439C2211yescharacteristic, complemented
169#89439C2211yescharacteristic, complemented
170#89438C2211yescharacteristic, complemented
171#89438C2211yescharacteristic, complemented
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89436C2211yescharacteristic, complemented
177#89436C2211yescharacteristic, complemented
178#89436C2211yescharacteristic, complemented
179D7×#95C2211yescharacteristic, complemented
180D7×#95C2211yescharacteristic, complemented
181#89433C2211yescharacteristic, complemented
182#89433C2211yescharacteristic, complemented
183#89433C2211yescharacteristic, complemented
184#89428C2211yescharacteristic, complemented
185#89427C2211yescharacteristic, complemented
186#89426C2211yescharacteristic, complemented
187#89426C2211yescharacteristic, complemented
188#89419C2211yescharacteristic, complemented
189#34991—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C24×D7C2311yescharacteristic
192C22×C7×D4C2311yescharacteristic
193C23×C4×C7C2311yescharacteristic
194C23×C4×C7C2311yescharacteristic
195C23×C4×C7C2311yescharacteristic
196C22×C22⋊D7C2311yescharacteristic
197C22×C22⋊D7C2311yescharacteristic
198C22×C22⋊D7C2311yescharacteristic
199C22×C22⋊D7C2311yescharacteristic
200C23×Dic7C2311yescharacteristic
201C23×Dic7C2311yescharacteristic
202C23×Dic7C2311yescharacteristic
203C22×D28—24no—
204C22×D28—24no—
205C22×D28—24no—
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×D28C2311yescharacteristic
209C22×D28C2311yescharacteristic
210C22×C4×D7—24no—
211C22×C4×D7—24no—
212C22×C4×D7—42no—
213C22×C4×D7—42no—
214C22×C4×D7—42no—
215C22×C4×D7—42no—
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×C4×D7C2311yescharacteristic
221C22×C4×D7C2311yescharacteristic
222C22×C4×D7C2311yescharacteristic
223C22×C4×D7C2311yescharacteristic
224C22×C4×D7C2311yescharacteristic
225C22×C4×D7C2311yescharacteristic
226C22×C4×D7C2311yescharacteristic
227C22×C4×D7C2311yescharacteristic
228C22×Dic14C2311yescharacteristic
229C7×#126—24no—
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C4⋊C4C2311yescharacteristic
233C2×C7×C4⋊C4C2311yescharacteristic
234C2×C7×C4⋊C4C2311yescharacteristic
235C2×C7×C4⋊C4C2311yescharacteristic
236C2×C7×C22⋊C4C2311yescharacteristic
237C2×C7×C22⋊C4C2311yescharacteristic
238C2×C7×C22⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4C2311yescharacteristic
240C2×C7×C22⋊C4C2311yescharacteristic
241C2×C7×C22⋊C4C2311yescharacteristic
242C2×C7×C22⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4C2311yescharacteristic
244C2×C7×C22⋊C4C2311yescharacteristic
245C2×C42×C7—24no—
246C2×C42×C7C2311yescharacteristic
247C2×C42×C7C2311yescharacteristic
248C2×C42×C7C2311yescharacteristic
249C2×C42×C7C2311yescharacteristic
250C2×C22⋊Dic7C2311yescharacteristic
251C2×C22⋊Dic7C2311yescharacteristic
252C2×C22⋊Dic7C2311yescharacteristic
253C2×C22⋊Dic7C2311yescharacteristic
254C2×C22⋊Dic7C2311yescharacteristic
255C2×C22⋊Dic7C2311yescharacteristic
256C2×C22⋊Dic7C2311yescharacteristic
257#6500—24no—
258#6500—42no—
259D4×Dic7—42no—
260C2×(C2×D7)⋊C4—24no—
261C2×(C2×D7)⋊C4—24no—
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×(C2×D7)⋊C4C2311yescharacteristic
284C2×(C2×D7)⋊C4C2311yescharacteristic
285C2×(C2×D7)⋊C4C2311yescharacteristic
286C2×(C2×D7)⋊C4C2311yescharacteristic
287C2×(C2×D7)⋊C4C2311yescharacteristic
288C2×(C2×D7)⋊C4C2311yescharacteristic
289C2×(C2×D7)⋊C4C2311yescharacteristic
290C2×(C2×D7)⋊C4C2311yescharacteristic
291C2×(C2×D7)⋊C4C2311yescharacteristic
292C2×(C2×D7)⋊C4C2311yescharacteristic
293C2×(C2×D7)⋊C4C2311yescharacteristic
294C2×C4⋊Dic7—24no—
295C2×C4⋊Dic7C2311yescharacteristic
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×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×Dic7⋊C4C2311yescharacteristic
319C2×Dic7⋊C4C2311yescharacteristic
320C2×Dic7⋊C4C2311yescharacteristic
321C2×Dic7⋊C4C2311yescharacteristic
322C2×Dic7⋊C4C2311yescharacteristic
323C2×C4×Dic7C2311yescharacteristic
324C2×C4×Dic7C2311yescharacteristic
325C2×C4×Dic7C2311yescharacteristic
326#6461—24no—
327#6460—24no—
328#6459—24no—
329#6459—42no—
330#6457—24no—
331#6457—24no—
332D7×C4⋊C4—24no—
333D7×C4⋊C4—42no—
334#6453—24no—
335#6449—24no—
336#6447—24no—
337#6447—24no—
338#6446—24no—
339#6446—24no—
340#6446—42no—
341(C22⋊D7)⋊C4—24no—
342(C22⋊D7)⋊C4—42no—
343D7×C22⋊C4—24no—
344D7×C22⋊C4—42no—
345#6441—24no—
346#6441—42no—
347C4×D28—24no—
348C4×D28—24no—
349C4×D28—24no—
350C4×D28—24no—
351C4×D28—24no—
352C4×D28—24no—
353C4×D28—24no—
354C4×D28D418yescomplemented
355#6433—24no—
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
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C7⋊#95C2311yescharacteristic
387C7⋊#95C2311yescharacteristic
388C7⋊#95C2311yescharacteristic
389C7⋊#95C2311yescharacteristic
390C7⋊#95C2311yescharacteristic
391C7⋊#95C2311yescharacteristic
392C2×#539—71no—
393C22×C4×D4—71no—
394#2852D711yescharacteristic, complemented
395#2851—71no—
396#2849—71no—
397#2848—71no—
398#2638—71no—
399#2636—71no—
400#2633—71no—
401#2630—71no—
402#2480—71no—
403#2473—71no—
404#2466—71no—
405#2463—71no—
406#2460—71no—
407#2455—71no—
408#2449—71no—
409#2449—71no—
410#2443—71no—
411#2437—71no—
412#2425—71no—
413#2419—71no—
414#2418—71no—
415#2412—71no—
416#2410—71no—
417#2405—71no—
418#2325—71no—
419#2322—71no—
420#2318—71no—
421C4×#120—71no—
422C2×#385—71no—
423C24×C7C2411yescharacteristic
424C24×C7C2411yescharacteristic
425C23×D7—22no—
426C23×D7—22no—
427C23×D7—22no—
428C23×D7—22no—
429C23×D7—22no—
430C23×D7—22no—
431C23×D7—22no—
432C23×D7—22no—
433C23×D7—22no—
434C23×D7—41no—
435C23×D7—41no—
436C23×D7—41no—
437C23×D7—41no—
438C23×D7#4114yes—
439C23×D7C2411yescharacteristic
440C23×D7C2411yescharacteristic
441C23×D7C2411yescharacteristic
442C23×D7C2411yescharacteristic
443C2×C7×D4—22no—
444C2×C7×D4—22no—
445C2×C7×D4—22no—
446C22×C4×C7—22no—
447C22×C4×C7—22no—
448C22×C4×C7—22no—
449C22×C4×C7—22no—
450C22×C4×C7—22no—
451C22×C4×C7—22no—
452C22×C4×C7—22no—
453C22×C4×C7—22no—
454C22×C4×C7—41no—
455C22×C4×C7C2411yescharacteristic
456C22×C4×C7C2411yescharacteristic
457C22×C4×C7C2411yescharacteristic
458C22×C4×C7C2411yescharacteristic
459C22×C4×C7C2411yescharacteristic
460C22×C4×C7C2411yescharacteristic
461C22×C4×C7C2411yescharacteristic
462C22×C4×C7C2411yescharacteristic
463C22×C4×C7C2411yescharacteristic
464C22×C4×C7C2411yescharacteristic
465C22×C4×C7C2411yescharacteristic
466C22×C4×C7C2411yescharacteristic
467C22×C4×C7C2411yescharacteristic
468C2×C22⋊D7—22no—
469C2×C22⋊D7—22no—
470C2×C22⋊D7—22no—
471C2×C22⋊D7—22no—
472C2×C22⋊D7—22no—
473C2×C22⋊D7—22no—
474C2×C22⋊D7—41no—
475C2×C22⋊D7—41no—
476C2×C22⋊D7—41no—
477C2×C22⋊D7—41no—
478C2×C22⋊D7—41no—
479C2×C22⋊D7—41no—
480C22×Dic7—22no—
481C22×Dic7—22no—
482C22×Dic7—22no—
483C22×Dic7—22no—
484C22×Dic7—22no—
485C22×Dic7—41no—
486C22×Dic7—41no—
487C22×Dic7—41no—
488C22×Dic7—41no—
489C22×Dic7C2411yescharacteristic
490C22×Dic7C2411yescharacteristic
491C22×Dic7C2411yescharacteristic
492C22×Dic7C2411yescharacteristic
493C22×Dic7C2411yescharacteristic
494C22×Dic7C2411yescharacteristic
495C22×Dic7C2411yescharacteristic
496C22×Dic7C2411yescharacteristic
497C22×Dic7C2411yescharacteristic
498C22×Dic7C2411yescharacteristic
499C22×Dic7C2411yescharacteristic
500C22×Dic7C2411yescharacteristic
501C2×D28—232no—
502C2×D28—22no—
503C2×D28—22no—
504C2×D28—22no—
505C2×D28—22no—
506C2×D28—22no—
507C2×D28—22no—
508C2×D28—22no—
509C2×D28—22no—
510C2×D28—22no—
511C2×D28—22no—
512C2×D28C2×D414yes—
513C2×D28#4114yes—
514C2×C4×D7—22no—
515C2×C4×D7—22no—
516C2×C4×D7—22no—
517C2×C4×D7—22no—
518C2×C4×D7—22no—
519C2×C4×D7—22no—
520C2×C4×D7—22no—
521C2×C4×D7—22no—
522C2×C4×D7—22no—
523C2×C4×D7—22no—
524C2×C4×D7—22no—
525C2×C4×D7—22no—
526C2×C4×D7—22no—
527C2×C4×D7—22no—
528C2×C4×D7—22no—
529C2×C4×D7—22no—
530C2×C4×D7—41no—
531C2×C4×D7—41no—
532C2×C4×D7—41no—
533C2×C4×D7—41no—
534C2×C4×D7—41no—
535C2×C4×D7—41no—
536C2×C4×D7—41no—
537C2×C4×D7—41no—
538C2×C4×D7—41no—
539C2×C4×D7—41no—
540C2×C4×D7—41no—
541C2×C4×D7—41no—
542C2×C4×D7—41no—
543C2×C4×D7—41no—
544C2×C4×D7—416no—
545C2×C4×D7—416no—
546C2×C4×D7—41no—
547C2×C4×D7—41no—
548C2×C4×D7—41no—
549C2×C4×D7—41no—
550C2×C4×D7C2×D414yes—
551C2×C4×D7C2×D414yes—
552C2×Dic14—22no—
553C2×Dic14—41no—
554C2×Dic14—41no—
555C7×C4⋊C4—22no—
556C7×C4⋊C4—22no—
557C7×C4⋊C4—22no—
558C7×C4⋊C4—22no—
559C7×C4⋊C4—22no—
560C7×C4⋊C4—41no—
561C7×C22⋊C4—22no—
562C7×C22⋊C4—22no—
563C7×C22⋊C4—22no—
564C7×C22⋊C4—22no—
565C7×C22⋊C4—22no—
566C7×C22⋊C4—22no—
567C7×C22⋊C4—22no—
568C7×C22⋊C4—22no—
569C7×C22⋊C4—41no—
570C42×C7—22no—
571C42×C7—22no—
572C42×C7—22no—
573C42×C7C2×D414yes—
574C22⋊Dic7—22no—
575C22⋊Dic7—22no—
576C22⋊Dic7—22no—
577C22⋊Dic7—22no—
578C22⋊Dic7—22no—
579C22⋊Dic7—41no—
580C22⋊Dic7—41no—
581(C2×D7)⋊C4—22no—
582(C2×D7)⋊C4—22no—
583(C2×D7)⋊C4—22no—
584(C2×D7)⋊C4—22no—
585(C2×D7)⋊C4—22no—
586(C2×D7)⋊C4—22no—
587(C2×D7)⋊C4—22no—
588(C2×D7)⋊C4—22no—
589(C2×D7)⋊C4—22no—
590(C2×D7)⋊C4—22no—
591(C2×D7)⋊C4—22no—
592(C2×D7)⋊C4—22no—
593(C2×D7)⋊C4—22no—
594(C2×D7)⋊C4—22no—
595(C2×D7)⋊C4—22no—
596(C2×D7)⋊C4—22no—
597(C2×D7)⋊C4—22no—
598(C2×D7)⋊C4—22no—
599(C2×D7)⋊C4—41no—
600(C2×D7)⋊C4—41no—
601(C2×D7)⋊C4—41no—
602(C2×D7)⋊C4—41no—
603(C2×D7)⋊C4—41no—
604(C2×D7)⋊C4—41no—
605(C2×D7)⋊C4—41no—
606(C2×D7)⋊C4—41no—
607(C2×D7)⋊C4—41no—
608(C2×D7)⋊C4—41no—
609(C2×D7)⋊C4—41no—
610(C2×D7)⋊C4—41no—
611(C2×D7)⋊C4C2×D414yes—
612(C2×D7)⋊C4C2×D414yes—
613C4⋊Dic7—22no—
614C4⋊Dic7—22no—
615C4⋊Dic7—22no—
616C4⋊Dic7—22no—
617C4⋊Dic7—22no—
618C4⋊Dic7—22no—
619C4⋊Dic7—22no—
620C4⋊Dic7—41no—
621C4⋊Dic7—41no—
622C4⋊Dic7—41no—
623C4⋊Dic7—41no—
624C4⋊Dic7—41no—
625C4⋊Dic7—41no—
626C4⋊Dic7C2×D414yes—
627Dic7⋊C4—22no—
628Dic7⋊C4—22no—
629Dic7⋊C4—22no—
630Dic7⋊C4—22no—
631Dic7⋊C4—22no—
632Dic7⋊C4—22no—
633Dic7⋊C4—22no—
634Dic7⋊C4—22no—
635Dic7⋊C4—22no—
636Dic7⋊C4—22no—
637Dic7⋊C4—41no—
638Dic7⋊C4—41no—
639Dic7⋊C4—41no—
640Dic7⋊C4—41no—
641C4×Dic7—22no—
642C4×Dic7—41no—
643C4×Dic7—41no—
644C23×D4—71no—
645C24×C4—71no—
646C24×C4—71no—
647#539—148no—
648C2×#126—71no—
649C2×#126C2×D711yescharacteristic, complemented
650C2×#125—71no—
651C2×#125—71no—
652C2×#123—71no—
653C2×#123—71no—
654C2×#123—71no—
655C2×#123—71no—
656C2×#123—71no—
657C2×#123—71no—
658C2×C22⋊Q8—71no—
659C2×C22⋊Q8—71no—
660C2×C22⋊Q8—71no—
661C2×C22⋊Q8—71no—
662C2×C22⋊Q8—71no—
663C2×#121—71no—
664C2×#121—71no—
665C2×#120—71no—
666C2×#120—71no—
667C2×C4×D4—71no—
668C2×C4×D4—71no—
669C2×C4×D4—71no—
670C2×C4×D4—71no—
671C2×C4×D4—71no—
672C2×C4×D4—71no—
673C2×C4×D4—71no—
674C2×C4×D4—71no—
675C2×C4×D4—71no—
676C2×C4×D4—71no—
677C2×C4×D4—71no—
678C2×C4×D4—148no—
679C22×C4⋊C4—71no—
680C22×C4⋊C4—71no—
681C22×C4⋊C4—71no—
682C22×C22⋊C4—71no—
683C22×C22⋊C4—71no—
684C22×C22⋊C4—71no—
685C22×C22⋊C4—71no—
686C22×C42C2×D711yescharacteristic
687#400—71no—
688#399—71no—
689#399—71no—
690#399—71no—
691#398—71no—
692#398—71no—
693#398—71no—
694#398—71no—
695#397—71no—
696#397—71no—
697#397—71no—
698#397—71no—
699#397—71no—
700#397—71no—
701#396—71no—
702#396—71no—
703#396—71no—
704#396—71no—
705#395—71no—
706#394—71no—
707#394—71no—
708#394—71no—
709#394—71no—
710#394—71no—
711#394—71no—
712#394—71no—
713#394—71no—
714#394—71no—
715#394—71no—
716#393—71no—
717#392—71no—
718#392—71no—
719#389—71no—
720#389—71no—
721#389—71no—
722#389—71no—
723#388—71no—
724#388—71no—
725#388—71no—
726#388—71no—
727#388—71no—
728#388C2×D711yescharacteristic, complemented
729#388C2×D711yescharacteristic, complemented
730#388C2×D711yescharacteristic, complemented
731#387—71no—
732#387—71no—
733#387—71no—
734#387—71no—
735#387—71no—
736#387—71no—
737#387—71no—
738#387C2×D711yescharacteristic, complemented
739#387C2×D711yescharacteristic, complemented
740#387C2×D711yescharacteristic, complemented
741#386—71no—
742#386—71no—
743#386—71no—
744#386—71no—
745#386—71no—
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386C2×D711yescharacteristic
753#386C2×D711yescharacteristic
754#386C2×D711yescharacteristic
755#385—71no—
756#385—71no—
757#385—71no—
758#385—71no—
759#385—71no—
760#385—71no—
761#385—71no—
762#385—71no—
763#385—71no—
764#385—71no—
765#385—71no—
766#385—71no—
767#385—71no—
768#385—71no—
769#385—71no—
770#385—71no—
771#385—71no—
772#385—71no—
773#385—71no—
774#385—71no—
775#385—71no—
776#385—71no—
777#385—71no—
778#385C2×D711yescharacteristic
779#385C2×D711yescharacteristic
780#385C2×D711yescharacteristic
781#383C2×D711yescharacteristic, complemented
782#382—71no—
783#381—71no—
784#381—71no—
785#381—71no—
786#380—71no—
787#380—71no—
788#380—71no—
789#380—71no—
790#380—71no—
791#380—71no—
792#379—71no—
793#379—71no—
794#379—71no—
795#379—71no—
796C4×C22⋊C4—71no—
797C4×C22⋊C4—71no—
798C4×C22⋊C4—71no—
799C2×#95—71no—
800C2×#95—71no—
801C23×C7—21no—
802C23×C7—21no—
803C23×C7—21no—
804C23×C7—21no—
805C23×C7—21no—
806C23×C7—21no—
807C23×C7—21no—
808C23×C7—21no—
809C23×C7—21no—
810C23×C7—21no—
811C23×C7—21no—
812C23×C7C2×#4112yes—
813C23×C7H(5,𝔽2)12yes—
814C23×C72−1+412yes—
815C23×C7C2511yescharacteristic
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—28no—
821C22×D7—28no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—21no—
827C22×D7—21no—
828C22×D7—21no—
829C22×D7—21no—
830C22×D7—21no—
831C22×D7—21no—
832C22×D7—21no—
833C22×D7—21no—
834C22×D7—21no—
835C22×D7—21no—
836C22×D7—21no—
837C22×D7—21no—
838C22×D7—21no—
839C22×D7—21no—
840C22×D7—28no—
841C22×D7—44no—
842C22×D7—44no—
843C22×D7—44no—
844C22×D7—44no—
845C22×D7—44no—
846C22×D7—44no—
847C22×D7—44no—
848C22×D7—44no—
849C22×D7—44no—
850C22×D7—44no—
851C22×D7—44no—
852C22×D7C22×D412yes—
853C22×D7C22×D412yes—
854C22×D7C2×#4112yes—
855C22×D7C2×#4112yes—
856C22×D7C2×#4112yes—
857C22×D7C2×#4112yes—
858C7×D4—44no—
859C2×C4×C7—28no—
860C2×C4×C7—28no—
861C2×C4×C7—21no—
862C2×C4×C7—21no—
863C2×C4×C7—21no—
864C2×C4×C7—21no—
865C2×C4×C7—21no—
866C2×C4×C7—21no—
867C2×C4×C7—21no—
868C2×C4×C7—21no—
869C2×C4×C7—21no—
870C2×C4×C7—21no—
871C2×C4×C7—21no—
872C2×C4×C7—21no—
873C2×C4×C7—21no—
874C2×C4×C7—21no—
875C2×C4×C7—21no—
876C2×C4×C7—21no—
877C2×C4×C7—21no—
878C2×C4×C7—21no—
879C2×C4×C7—21no—
880C2×C4×C7—21no—
881C2×C4×C7—21no—
882C2×C4×C7—21no—
883C2×C4×C7—21no—
884C2×C4×C7—21no—
885C2×C4×C7—21no—
886C2×C4×C7—21no—
887C2×C4×C7—21no—
888C2×C4×C7—21no—
889C2×C4×C7—21no—
890C2×C4×C7—21no—
891C2×C4×C7—21no—
892C2×C4×C7—21no—
893C2×C4×C7—21no—
894C2×C4×C7—21no—
895C2×C4×C7—44no—
896C2×C4×C7C22×D412yes—
897C2×C4×C7C22×D412yes—
898C2×C4×C7C22×D412yes—
899C2×C4×C7C2×#4112yes—
900C2×C4×C7H(5,𝔽2)12yes—
901C22⋊D7—44no—
902C22⋊D7—44no—
903C22⋊D7—82no—
904C22⋊D7—82no—
905C2×Dic7—21no—
906C2×Dic7—21no—
907C2×Dic7—21no—
908C2×Dic7—21no—
909C2×Dic7—21no—
910C2×Dic7—21no—
911C2×Dic7—21no—
912C2×Dic7—21no—
913C2×Dic7—21no—
914C2×Dic7—21no—
915C2×Dic7—21no—
916C2×Dic7—21no—
917C2×Dic7—21no—
918C2×Dic7—21no—
919C2×Dic7—21no—
920C2×Dic7—21no—
921C2×Dic7—21no—
922C2×Dic7—21no—
923C2×Dic7—21no—
924C2×Dic7—21no—
925C2×Dic7—21no—
926C2×Dic7—21no—
927C2×Dic7—21no—
928C2×Dic7—21no—
929C2×Dic7—21no—
930C2×Dic7—21no—
931C2×Dic7—21no—
932C2×Dic7—21no—
933C2×Dic7—21no—
934C2×Dic7—21no—
935C2×Dic7—21no—
936C2×Dic7—21no—
937C2×Dic7—21no—
938C2×Dic7—21no—
939C2×Dic7—44no—
940C2×Dic7—44no—
941C2×Dic7—82no—
942C2×Dic7C22×D412yes—
943C2×Dic7C22×D412yes—
944D28—28no—
945D28—28no—
946D28—28no—
947D28—28no—
948C4×D7—44no—
949C4×D7—44no—
950C4×D7—44no—
951C4×D7—44no—
952C4×D7—44no—
953C4×D7—44no—
954C4×D7—44no—
955C4×D7—44no—
956C4×D7—44no—
957C4×D7—44no—
958C4×D7—82no—
959C4×D7—82no—
960Dic14—82no—
961C25—71no—
962C25—71no—
963C22×Q8—71no—
964C22×D4—71no—
965C22×D4—71no—
966C22×D4—71no—
967C22×D4—71no—
968C22×D4—71no—
969C22×D4—71no—
970C22×D4—71no—
971C22×D4—71no—
972C22×D4—144no—
973C22×D4—144no—
974C22×D4—144no—
975C22×D4C22×D711yescharacteristic
976C23×C4—71no—
977C23×C4—71no—
978C23×C4—71no—
979C23×C4—71no—
980C23×C4—71no—
981C23×C4—71no—
982C23×C4—71no—
983C23×C4—71no—
984C23×C4—71no—
985C23×C4—71no—
986C23×C4—71no—
987C23×C4—71no—
988C23×C4—71no—
989C23×C4—71no—
990C23×C4—71no—
991C23×C4—144no—
992C23×C4—144no—
993C23×C4—282no—
994C23×C4—282no—
995C23×C4—282no—
996C23×C4—282no—
997C23×C4C22×D711yescharacteristic
998C23×C4C22×D711yescharacteristic
999C23×C4C22×D711yescharacteristic
1000#126—24no—
1001#126—144no—
1002#125—144no—
1003#125—144no—
1004#123—144no—
1005#123—144no—
1006#123—144no—
1007#123—144no—
1008#123—144no—
1009#123—282no—
1010C22⋊Q8—144no—
1011C22⋊Q8—144no—
1012C22⋊Q8—144no—
1013C22⋊Q8—282no—
1014C22⋊Q8—282no—
1015#121—144no—
1016#121—144no—
1017#120—144no—
1018#120—282no—
1019C4×D4—78no—
1020C4×D4—144no—
1021C4×D4—144no—
1022C4×D4—144no—
1023C4×D4—144no—
1024C4×D4—144no—
1025C4×D4—144no—
1026C4×D4—144no—
1027C4×D4—144no—
1028C4×D4—282no—
1029C4×D4—282no—
1030C2×C4⋊C4—71no—
1031C2×C4⋊C4—71no—
1032C2×C4⋊C4—71no—
1033C2×C4⋊C4—71no—
1034C2×C4⋊C4—71no—
1035C2×C4⋊C4—71no—
1036C2×C4⋊C4—71no—
1037C2×C4⋊C4—71no—
1038C2×C4⋊C4—71no—
1039C2×C4⋊C4—71no—
1040C2×C4⋊C4—71no—
1041C2×C4⋊C4—71no—
1042C2×C4⋊C4—71no—
1043C2×C4⋊C4—71no—
1044C2×C4⋊C4—71no—
1045C2×C4⋊C4—71no—
1046C2×C4⋊C4—71no—
1047C2×C4⋊C4—71no—
1048C2×C4⋊C4—71no—
1049C2×C4⋊C4—71no—
1050C2×C4⋊C4—71no—
1051C2×C4⋊C4—71no—
1052C2×C4⋊C4—71no—
1053C2×C4⋊C4—71no—
1054C2×C4⋊C4—71no—
1055C2×C4⋊C4—71no—
1056C2×C4⋊C4—71no—
1057C2×C4⋊C4—71no—
1058C2×C4⋊C4—144no—
1059C2×C4⋊C4—144no—
1060C2×C4⋊C4—282no—
1061C2×C4⋊C4C22×D711yescharacteristic
1062C2×C4⋊C4C22×D711yescharacteristic
1063C2×C4⋊C4C22×D711yescharacteristic
1064C2×C4⋊C4C22×D711yescharacteristic
1065C2×C4⋊C4C22×D711yescharacteristic
1066C2×C4⋊C4C22×D711yescharacteristic
1067C2×C22⋊C4—71no—
1068C2×C22⋊C4—71no—
1069C2×C22⋊C4—71no—
1070C2×C22⋊C4—71no—
1071C2×C22⋊C4—71no—
1072C2×C22⋊C4—71no—
1073C2×C22⋊C4—71no—
1074C2×C22⋊C4—71no—
1075C2×C22⋊C4—71no—
1076C2×C22⋊C4—71no—
1077C2×C22⋊C4—71no—
1078C2×C22⋊C4—71no—
1079C2×C22⋊C4—71no—
1080C2×C22⋊C4—71no—
1081C2×C22⋊C4—71no—
1082C2×C22⋊C4—71no—
1083C2×C22⋊C4—71no—
1084C2×C22⋊C4—71no—
1085C2×C22⋊C4—71no—
1086C2×C22⋊C4—71no—
1087C2×C22⋊C4—71no—
1088C2×C22⋊C4—71no—
1089C2×C22⋊C4—71no—
1090C2×C22⋊C4—71no—
1091C2×C22⋊C4—71no—
1092C2×C22⋊C4—71no—
1093C2×C22⋊C4—71no—
1094C2×C22⋊C4—71no—
1095C2×C22⋊C4—71no—
1096C2×C22⋊C4—71no—
1097C2×C22⋊C4—71no—
1098C2×C22⋊C4—71no—
1099C2×C22⋊C4—71no—
1100C2×C22⋊C4—71no—
1101C2×C22⋊C4—71no—
1102C2×C22⋊C4—71no—
1103C2×C22⋊C4—71no—
1104C2×C22⋊C4—71no—
1105C2×C22⋊C4—71no—
1106C2×C22⋊C4—144no—
1107C2×C22⋊C4—144no—
1108C2×C22⋊C4—144no—
1109C2×C22⋊C4—282no—
1110C2×C22⋊C4C22×D711yescharacteristic
1111C2×C22⋊C4C22×D711yescharacteristic
1112C2×C22⋊C4C22×D711yescharacteristic
1113C2×C22⋊C4C22×D711yescharacteristic
1114C2×C22⋊C4C22×D711yescharacteristic
1115C2×C22⋊C4C22×D711yescharacteristic
1116C2×C22⋊C4C22×D711yescharacteristic
1117C2×C22⋊C4C22×D711yescharacteristic
1118C2×C22⋊C4C22×D711yescharacteristic
1119C2×C42—24no—
1120C2×C42—71no—
1121C2×C42—71no—
1122C2×C42—71no—
1123C2×C42C22×D711yescharacteristic
1124C2×C42C22×D711yescharacteristic
1125C2×C42C22×D711yescharacteristic
1126C2×C42C22×D711yescharacteristic
1127#95—71no—
1128#95—71no—
1129#95—71no—
1130#95—71no—
1131#95—71no—
1132#95—71no—
1133#95—71no—
1134#95—71no—
1135#95—71no—
1136#95—71no—
1137#95—71no—
1138#95—71no—
1139#95—71no—
1140#95—71no—
1141#95—71no—
1142#95—71no—
1143#95—71no—
1144#95—71no—
1145#95—71no—
1146#95—71no—
1147#95—71no—
1148#95—71no—
1149#95—71no—
1150#95—71no—
1151#95C22×D711yescharacteristic
1152#95C22×D711yescharacteristic
1153#95C22×D711yescharacteristic
1154#95C22×D711yescharacteristic
1155#95C22×D711yescharacteristic
1156#95C22×D711yescharacteristic
1157#95C22×D711yescharacteristic
1158#95C22×D711yescharacteristic
1159#95C22×D711yescharacteristic
1160#95C22×D711yescharacteristic
1161#95C22×D711yescharacteristic
1162#95C22×D711yescharacteristic
1163C22×C7—22no—
1164C22×C7—22no—
1165C22×C7—22no—
1166C22×C7—22no—
1167C22×C7—22no—
1168C22×C7—22no—
1169C22×C7—41no—
1170C22×C7—41no—
1171C22×C7—41no—
1172C22×C7—41no—
1173C22×C7—41no—
1174C22×C7—41no—
1175C22×C7—41no—
1176C22×C7#53914yescomplemented
1177C22×C7C23×D411yescharacteristic
1178C22×C7C22×#4111yescharacteristic
1179C22×C7C22×#4111yescharacteristic
1180C22×C7C2×H(5,𝔽2)11yescharacteristic
1181C22×C7C2×H(5,𝔽2)11yescharacteristic
1182C22×C7C2×2−1+411yescharacteristic
1183C22×C7#58511yescharacteristic
1184C2×D7—22no—
1185C2×D7—22no—
1186C2×D7—22no—
1187C2×D7—22no—
1188C2×D7—22no—
1189C2×D7—22no—
1190C2×D7—22no—
1191C2×D7—22no—
1192C2×D7—22no—
1193C2×D7—22no—
1194C2×D7—22no—
1195C2×D7—22no—
1196C2×D7—22no—
1197C2×D7—22no—
1198C2×D7—22no—
1199C2×D7—416no—
1200C2×D7—416no—
1201C2×D7—41no—
1202C2×D7—41no—
1203C2×D7—41no—
1204C2×D7—41no—
1205C2×D7—41no—
1206C2×D7—41no—
1207C2×D7—41no—
1208C2×D7—41no—
1209C2×D7—41no—
1210C2×D7—41no—
1211C2×D7—41no—
1212C2×D7—41no—
1213C2×D7#52514yes—
1214C4×C7—22no—
1215C4×C7—22no—
1216C4×C7—22no—
1217C4×C7—22no—
1218C4×C7—22no—
1219C4×C7—41no—
1220C4×C7—41no—
1221C4×C7—41no—
1222C4×C7—41no—
1223C4×C7—41no—
1224C4×C7—41no—
1225C4×C7—41no—
1226C4×C7—41no—
1227Dic7—22no—
1228Dic7—22no—
1229Dic7—41no—
1230Dic7—41no—
1231Dic7—41no—
1232Dic7—41no—
1233Dic7—41no—
1234Dic7—41no—
1235Dic7—41no—
1236Dic7—41no—
1237Dic7—41no—
1238Dic7—41no—
1239C24—71no—
1240C24—71no—
1241C24—71no—
1242C24—71no—
1243C24—74no—
1244C24—142no—
1245C24—142no—
1246C24—142no—
1247C24—142no—
1248C24—142no—
1249C24—142no—
1250C24—142no—
1251C24—142no—
1252C24—142no—
1253C24—281no—
1254C24—281no—
1255C24—281no—
1256C24—281no—
1257C24C23×D711yescharacteristic
1258C24C23×D711yescharacteristic
1259C2×Q8—142no—
1260C2×Q8—281no—
1261C2×Q8—281no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—74no—
1266C2×D4—74no—
1267C2×D4—142no—
1268C2×D4—142no—
1269C2×D4—142no—
1270C2×D4—142no—
1271C2×D4—142no—
1272C2×D4—142no—
1273C2×D4—142no—
1274C2×D4—142no—
1275C2×D4—1432no—
1276C2×D4—142no—
1277C2×D4—142no—
1278C2×D4—142no—
1279C2×D4—142no—
1280C2×D4—142no—
1281C2×D4—142no—
1282C2×D4—142no—
1283C2×D4—142no—
1284C2×D4—281no—
1285C2×D4—281no—
1286C2×D4—281no—
1287C2×D4—281no—
1288C2×D4—281no—
1289C2×D4—281no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—41no—
1299C22×C4—71no—
1300C22×C4—71no—
1301C22×C4—74no—
1302C22×C4—74no—
1303C22×C4—71no—
1304C22×C4—71no—
1305C22×C4—71no—
1306C22×C4—71no—
1307C22×C4—71no—
1308C22×C4—71no—
1309C22×C4—71no—
1310C22×C4—71no—
1311C22×C4—71no—
1312C22×C4—71no—
1313C22×C4—142no—
1314C22×C4—142no—
1315C22×C4—142no—
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—142no—
1327C22×C4—142no—
1328C22×C4—142no—
1329C22×C4—142no—
1330C22×C4—142no—
1331C22×C4—142no—
1332C22×C4—142no—
1333C22×C4—142no—
1334C22×C4—281no—
1335C22×C4—281no—
1336C22×C4—281no—
1337C22×C4—281no—
1338C22×C4—281no—
1339C22×C4—281no—
1340C22×C4—281no—
1341C22×C4—281no—
1342C22×C4—281no—
1343C22×C4—281no—
1344C22×C4—281no—
1345C22×C4—281no—
1346C22×C4—281no—
1347C22×C4—281no—
1348C22×C4—281no—
1349C22×C4—281no—
1350C22×C4—281no—
1351C22×C4—281no—
1352C22×C4—2816no—
1353C22×C4—2816no—
1354C22×C4—281no—
1355C22×C4—281no—
1356C22×C4—281no—
1357C22×C4—281no—
1358C22×C4C23×D711yescharacteristic
1359C22×C4C23×D711yescharacteristic
1360C22×C4C23×D711yescharacteristic
1361C22×C4C23×D711yescharacteristic
1362C22×C4C23×D711yescharacteristic
1363C22×C4C23×D711yescharacteristic
1364C22×C4C23×D711yescharacteristic
1365C22×C4C23×D711yescharacteristic
1366C22×C4C23×D711yescharacteristic
1367C22×C4C23×D711yescharacteristic
1368C22×C4C23×D711yescharacteristic
1369C22×C4C23×D711yescharacteristic
1370C22×C4C23×D711yescharacteristic
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—41no—
1377C4⋊C4—74no—
1378C4⋊C4—142no—
1379C4⋊C4—142no—
1380C4⋊C4—142no—
1381C4⋊C4—142no—
1382C4⋊C4—142no—
1383C4⋊C4—142no—
1384C4⋊C4—142no—
1385C4⋊C4—142no—
1386C4⋊C4—142no—
1387C4⋊C4—142no—
1388C4⋊C4—142no—
1389C4⋊C4—142no—
1390C4⋊C4—142no—
1391C4⋊C4—142no—
1392C4⋊C4—142no—
1393C4⋊C4—142no—
1394C4⋊C4—142no—
1395C4⋊C4—281no—
1396C4⋊C4—281no—
1397C4⋊C4—281no—
1398C4⋊C4—281no—
1399C4⋊C4—281no—
1400C4⋊C4—281no—
1401C4⋊C4—281no—
1402C4⋊C4—281no—
1403C4⋊C4—281no—
1404C4⋊C4—281no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—41no—
1414C22⋊C4—74no—
1415C22⋊C4—74no—
1416C22⋊C4—142no—
1417C22⋊C4—142no—
1418C22⋊C4—142no—
1419C22⋊C4—142no—
1420C22⋊C4—142no—
1421C22⋊C4—142no—
1422C22⋊C4—142no—
1423C22⋊C4—142no—
1424C22⋊C4—142no—
1425C22⋊C4—142no—
1426C22⋊C4—142no—
1427C22⋊C4—142no—
1428C22⋊C4—142no—
1429C22⋊C4—142no—
1430C22⋊C4—142no—
1431C22⋊C4—142no—
1432C22⋊C4—142no—
1433C22⋊C4—142no—
1434C22⋊C4—142no—
1435C22⋊C4—142no—
1436C22⋊C4—142no—
1437C22⋊C4—142no—
1438C22⋊C4—142no—
1439C22⋊C4—281no—
1440C22⋊C4—281no—
1441C22⋊C4—281no—
1442C22⋊C4—281no—
1443C22⋊C4—281no—
1444C22⋊C4—281no—
1445C22⋊C4—281no—
1446C22⋊C4—281no—
1447C22⋊C4—281no—
1448C22⋊C4—281no—
1449C22⋊C4—281no—
1450C22⋊C4—281no—
1451C22⋊C4—281no—
1452C22⋊C4—281no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—142no—
1457C42—281no—
1458C42—281no—
1459C42D4×D714yes—
1460C2×C7—24no—
1461C2×C7—81no—
1462C2×C7C2×#52511yescharacteristic
1463C2×C7C2×#53911yescharacteristic
1464C2×C7#345911yescharacteristic
1465C2×C7#348411yescharacteristic
1466C2×C7#348911yescharacteristic
1467C2×C7#351311yescharacteristic
1468C2×C7#352011yescharacteristic
1469D7—24no—
1470D7—42no—
1471D7—42no—
1472D7—42no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—72no—
1485C23—72no—
1486C23—72no—
1487C23—72no—
1488C23—72no—
1489C23—72no—
1490C23—148no—
1491C23—148no—
1492C23—141no—
1493C23—141no—
1494C23—141no—
1495C23—141no—
1496C23—148no—
1497C23—141no—
1498C23—141no—
1499C23—141no—
1500C23—141no—
1501C23—141no—
1502C23—141no—
1503C23—141no—
1504C23—141no—
1505C23—141no—
1506C23—141no—
1507C23—141no—
1508C23—141no—
1509C23—141no—
1510C23—141no—
1511C23—141no—
1512C23—141no—
1513C23—141no—
1514C23—141no—
1515C23—284no—
1516C23—284no—
1517C23—284no—
1518C23—284no—
1519C23—284no—
1520C23—284no—
1521C23—284no—
1522C23—284no—
1523C23—284no—
1524C23—284no—
1525C23—284no—
1526C23D7×#4112yes—
1527C23#655312yes—
1528C23#655412yes—
1529C23C24×D711yescharacteristic
1530Q8—562no—
1531D4—44no—
1532D4—148no—
1533D4—148no—
1534D4—148no—
1535D4—148no—
1536D4—284no—
1537D4—284no—
1538D4—562no—
1539D4—562no—
1540C2×C4—28no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—44no—
1577C2×C4—72no—
1578C2×C4—72no—
1579C2×C4—141no—
1580C2×C4—141no—
1581C2×C4—141no—
1582C2×C4—141no—
1583C2×C4—141no—
1584C2×C4—141no—
1585C2×C4—141no—
1586C2×C4—141no—
1587C2×C4—141no—
1588C2×C4—141no—
1589C2×C4—141no—
1590C2×C4—141no—
1591C2×C4—141no—
1592C2×C4—141no—
1593C2×C4—141no—
1594C2×C4—141no—
1595C2×C4—141no—
1596C2×C4—141no—
1597C2×C4—141no—
1598C2×C4—141no—
1599C2×C4—141no—
1600C2×C4—141no—
1601C2×C4—141no—
1602C2×C4—141no—
1603C2×C4—141no—
1604C2×C4—141no—
1605C2×C4—141no—
1606C2×C4—141no—
1607C2×C4—141no—
1608C2×C4—141no—
1609C2×C4—141no—
1610C2×C4—141no—
1611C2×C4—141no—
1612C2×C4—141no—
1613C2×C4—284no—
1614C2×C4—284no—
1615C2×C4—284no—
1616C2×C4—284no—
1617C2×C4—284no—
1618C2×C4—284no—
1619C2×C4—284no—
1620C2×C4—284no—
1621C2×C4—284no—
1622C2×C4—284no—
1623C2×C4—284no—
1624C2×C4—284no—
1625C2×C4—562no—
1626C2×C4—562no—
1627C2×C4—562no—
1628C2×C4C2×D4×D712yes—
1629C2×C4C2×D4×D712yes—
1630C2×C4C2×D4×D712yes—
1631C2×C4D7×#4112yes—
1632C2×C4#655312yes—
1633C7#3499111yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—74no—
1648C22—142no—
1649C22—142no—
1650C22—142no—
1651C22—142no—
1652C22—142no—
1653C22—142no—
1654C22—142no—
1655C22—142no—
1656C22—142no—
1657C22—142no—
1658C22—142no—
1659C22—142no—
1660C22—142no—
1661C22—142no—
1662C22—142no—
1663C22—2816no—
1664C22—2816no—
1665C22—281no—
1666C22—281no—
1667C22—281no—
1668C22—281no—
1669C22—281no—
1670C22—281no—
1671C22—281no—
1672C22—281no—
1673C22—281no—
1674C22—281no—
1675C22—281no—
1676C22—281no—
1677C22#9039814yescomplemented
1678C22C22×D4×D711yescharacteristic
1679C22C2×D7×#4111yescharacteristic
1680C22C2×D7×#4111yescharacteristic
1681C22C2×#655311yescharacteristic
1682C22C2×#655311yescharacteristic
1683C22C2×#655411yescharacteristic
1684C22#9061611yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—142no—
1699C4—142no—
1700C4—281no—
1701C4—281no—
1702C4—281no—
1703C4—281no—
1704C4—281no—
1705C4—281no—
1706C4—281no—
1707C4—281no—
1708C4—281no—
1709C4—281no—
1710C2—24no—
1711C2—81no—
1712C2—144no—
1713C2—282no—
1714C2—282no—
1715C2—282no—
1716C2D7×#52511yescharacteristic
1717C2#1174310711yescharacteristic
1718C2#1174311011yescharacteristic
1719C2C2×#9039811yescharacteristic
1720C2#1174321511yescharacteristic
1721C2#1174322811yescharacteristic
1722C2#1174323511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2852C2
prime radical#11732332C2
hypercenter#2852D7
hypocenterC7#34991
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2852

Complements

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

NH ≅ G/Ntype
1. C2×#90398C2semidirect
2. C22×C4×D28C2semidirect
3. C7×#2852C2semidirect
4. #11740557C2semidirect
5. #11739519C2semidirect
6. #11733346C2semidirect
7. #11733301C2semidirect
8. #11733295C2semidirect
9. #11733293C2semidirect
10. #11733292C2semidirect
11. #11733274C2semidirect
12. #11732824C2semidirect
13. #11732766C2semidirect
14. #11732761C2semidirect
15. #11732742C2semidirect
16. #11732445C2semidirect
17. #11732437C2semidirect
18. #11732381C2semidirect
19. #11732336C2semidirect
20. #11732335C2semidirect
22. #11732155C2semidirect
23. #11732104C2semidirect
24. #11732100C2semidirect
25. #11732044C2semidirect
26. D7×#385C2semidirect
27. #11731898C2semidirect
28. #11731887C2semidirect
29. #11731858C2semidirect
30. #11731740C2semidirect
31. #11731722C2semidirect
35. C2×C7×#126C22semidirect
44. C2×#6461C22semidirect
45. C2×#6460C22semidirect
46. C2×#6459C22semidirect
47. C2×#6459C22semidirect
50. C2×D7×C4⋊C4C22semidirect
51. C2×D7×C4⋊C4C22semidirect
52. C2×#6453C22semidirect
53. C2×#6449C22semidirect
56. C2×#6446C22semidirect
57. C2×#6446C22semidirect
58. C2×#6446C22semidirect
59. C2×(C22⋊D7)⋊C4C22semidirect
60. C2×(C22⋊D7)⋊C4C22semidirect
64. C2×#6441C22semidirect
74. C2×#6433C22semidirect
75. C7×#388C22semidirect
76. C7×#388C22semidirect
77. C7×#388C22semidirect
78. C7×#387C22semidirect
79. C7×#387C22semidirect
80. C7×#387C22semidirect
87. C7×#383C22semidirect
95. #89766C22semidirect
96. #89766C22semidirect
97. #89766C22semidirect
98. #89765C22semidirect
101. #89762C22semidirect
102. #89761C22semidirect
103. #89761C22semidirect
104. #89761C22semidirect
105. #89761C22semidirect
106. #89759C22semidirect
107. #89758C22semidirect
108. #89757C22semidirect
109. #89756C22semidirect
110. #89733C22semidirect
111. #89733C22semidirect
112. #89733C22semidirect
115. #89731C22semidirect
116. #89730C22semidirect
117. #89728C22semidirect
118. #89728C22semidirect
119. #89728C22semidirect
120. #89728C22semidirect
121. #89728C22semidirect
128. #89722C22semidirect
129. #89721C22semidirect
130. #89720C22semidirect
134. #89708C22semidirect
135. #89705C22semidirect
136. #89705C22semidirect
137. #89705C22semidirect
138. #89705C22semidirect
139. #89700C22semidirect
140. #89700C22semidirect
141. #89449C22semidirect
142. #89449C22semidirect
143. #89447C22semidirect
144. #89447C22semidirect
145. #89446C22semidirect
146. #89446C22semidirect
147. #89446C22semidirect
148. #89445C22semidirect
153. #89442C22semidirect
154. #89442C22semidirect
155. #89442C22semidirect
156. #89441C22semidirect
157. #89440C22semidirect
158. #89440C22semidirect
159. #89440C22semidirect
160. #89440C22semidirect
161. #89440C22semidirect
162. #89440C22semidirect
163. #89440C22semidirect
164. #89440C22semidirect
165. #89440C22semidirect
166. #89440C22semidirect
167. #89440C22semidirect
168. #89439C22semidirect
169. #89439C22semidirect
170. #89438C22semidirect
171. #89438C22semidirect
176. #89436C22semidirect
177. #89436C22semidirect
178. #89436C22semidirect
179. D7×#95C22semidirect
180. D7×#95C22semidirect
181. #89433C22semidirect
182. #89433C22semidirect
183. #89433C22semidirect
184. #89428C22semidirect
185. #89427C22semidirect
186. #89426C22semidirect
187. #89426C22semidirect
188. #89419C22semidirect
354. C4×D28D4semidirect
394. #2852D7semidirect
649. C2×#126C2×D7semidirect
728. #388C2×D7semidirect
729. #388C2×D7semidirect
730. #388C2×D7semidirect
738. #387C2×D7semidirect
739. #387C2×D7semidirect
740. #387C2×D7semidirect
781. #383C2×D7semidirect
1176. C22×C7#539semidirect
1633. C7#34991semidirect
1677. C22#90398semidirect

Maximal subgroups

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

subgroupindex
C2×#903982
C22×C4×D282
C7×#28522
#117405572
#117395192
#117333462
#117333012
#117332952
#117332932
#117332922
#117332742
#117328242
#117327662
#117327612
#117327422
#117324452
#117324372
#117323812
#117323362
#117323352
#117323322
#117321552
#117321042
#117321002
#117320442
D7×#3852
#117318982
#117318872
#117318582
#117317402
#117317222
#349917