Finite Group Databasebeta

← #13560842

Subgroups — #13560842

Order 1792.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90383C211yesmaximal, characteristic, complemented
2C2×#90215C211yesmaximal, characteristic, complemented
3C7×#2611C211yesmaximal, characteristic, complemented
4#11740485C211yesmaximal, characteristic, complemented
5#11739704C211yesmaximal, characteristic, complemented
6#11735814C211yesmaximal, characteristic, complemented
7#11735686C211yesmaximal, characteristic, complemented
8#11735561C211yesmaximal, characteristic, complemented
9#11735511C211yesmaximal, characteristic, complemented
10#11735415C211yesmaximal, characteristic, complemented
11#11735414C211yesmaximal, characteristic, complemented
12#11735135C211yesmaximal, characteristic, complemented
13#11735013C211yesmaximal, characteristic, complemented
14#11733710C211yesmaximal, characteristic, complemented
15#11733706C211yesmaximal, characteristic, complemented
16#11733705C211yesmaximal, characteristic, complemented
17#11733557C211yesmaximal, characteristic, complemented
18#11733368C211yesmaximal, characteristic, complemented
19#11733361C211yesmaximal, characteristic, complemented
20#11733134C211yesmaximal, characteristic, complemented
21#11733114C211yesmaximal, characteristic, complemented
22#11732824C211yesmaximal, characteristic, complemented
23#11732822C211yesmaximal, characteristic, complemented
24#11732817C211yesmaximal, characteristic, complemented
25#11732815C211yesmaximal, characteristic, complemented
26#11732101C211yesmaximal, characteristic, complemented
27#11732100C211yesmaximal, characteristic, complemented
28#11732045C211yesmaximal, characteristic, complemented
29#11731849C211yesmaximal, characteristic, complemented
30#11730870C211yesmaximal, characteristic, complemented
31#11730860C211yesmaximal, characteristic, complemented
32C22×#1157C2211yescharacteristic
33C23×C4×D7C2211yescharacteristic
34C2×C7×#125C2211yescharacteristic, complemented
35C2×C7×#117C2211yescharacteristic
36#90383—28no—
37#90215—28no—
38C2×#6461C2211yescharacteristic
39C2×#6460C2211yescharacteristic
40C2×#6460C2211yescharacteristic
41C2×#6460C2211yescharacteristic, complemented
42C2×#6459C2211yescharacteristic
43C2×#6459C2211yescharacteristic
44C2×#6459C2211yescharacteristic, complemented
45C2×#6459C2211yescharacteristic, complemented
46C2×#6458C2211yescharacteristic
47C2×#6458C2211yescharacteristic
48C2×#6458C2211yescharacteristic
49C2×#6457C2211yescharacteristic
50C2×#6457C2211yescharacteristic
51C2×#6457C2211yescharacteristic
52C2×#6457C2211yescharacteristic
53C2×#6457C2211yescharacteristic, complemented
54C2×#6457C2211yescharacteristic, complemented
55C2×#6456C2211yescharacteristic, complemented
56C2×D7×C4⋊C4C2211yescharacteristic, complemented
57C2×#6452C2211yescharacteristic, complemented
58C2×#6449C2211yescharacteristic
59C2×#6449C2211yescharacteristic
60C2×#6447C2211yescharacteristic
61C2×#6446C2211yescharacteristic
62C2×#6445C2211yescharacteristic
63C2×#6445C2211yescharacteristic
64C2×#6445C2211yescharacteristic
65C2×#6441C2211yescharacteristic
66C2×#6439C2211yescharacteristic, complemented
67C2×C4×D28C2211yescharacteristic
68C2×C4×D28C2211yescharacteristic
69C2×C4×D28C2211yescharacteristic
70C2×C4×D28C2211yescharacteristic
71C7×#400C2211yescharacteristic, complemented
72C7×#399C2211yescharacteristic
73C7×#398C2211yescharacteristic, complemented
74C7×#397C2211yescharacteristic
75C7×#389C2211yescharacteristic, complemented
76C7×#389C2211yescharacteristic, complemented
77C7×#388C2211yescharacteristic
78C7×#388C2211yescharacteristic
79C7×#387C2211yescharacteristic, complemented
80C7×#387C2211yescharacteristic, complemented
81C7×#385C2211yescharacteristic
82C7×#385C2211yescharacteristic
83C7×#376C2211yescharacteristic, complemented
84#89985C2211yescharacteristic
85#89982C2211yescharacteristic
86#89766C2211yescharacteristic
87#89766C2211yescharacteristic
88#89766C2211yescharacteristic
89#89766C2211yescharacteristic, complemented
90#89766C2211yescharacteristic, complemented
91#89766C2211yescharacteristic, complemented
92#89766C2211yescharacteristic, complemented
93#89763C2211yescharacteristic
94#89763C2211yescharacteristic
95#89763C2211yescharacteristic, complemented
96#89763C2211yescharacteristic, complemented
97#89762C2211yescharacteristic
98#89762C2211yescharacteristic, complemented
99#89761C2211yescharacteristic
100#89761C2211yescharacteristic
101#89761C2211yescharacteristic
102#89761C2211yescharacteristic
103#89761C2211yescharacteristic, complemented
104#89761C2211yescharacteristic, complemented
105#89761C2211yescharacteristic, complemented
106#89760C2211yescharacteristic
107#89760C2211yescharacteristic
108#89756C2211yescharacteristic, complemented
109#89756C2211yescharacteristic, complemented
110#89751C2211yescharacteristic, complemented
111#89749C2211yescharacteristic, complemented
112#89748C2211yescharacteristic, complemented
113#89744C2211yescharacteristic, complemented
114#89733C2211yescharacteristic
115#89733C2211yescharacteristic
116#89732C2211yescharacteristic
117#89731C2211yescharacteristic
118#89731C2211yescharacteristic
119#89730C2211yescharacteristic
120#89729C2211yescharacteristic
121#89729C2211yescharacteristic
122#89728C2211yescharacteristic
123#89727C2211yescharacteristic
124#89727C2211yescharacteristic
125#89727C2211yescharacteristic
126#89720C2211yescharacteristic
127#89718C2211yescharacteristic
128#89717C2211yescharacteristic
129#89714C2211yescharacteristic
130#89712C2211yescharacteristic
131#89712C2211yescharacteristic, complemented
132#89712C2211yescharacteristic, complemented
133#89711C2211yescharacteristic
134#89711C2211yescharacteristic
135#89711C2211yescharacteristic
136#89711C2211yescharacteristic, complemented
137C4×C4⋊Dic7C2211yescharacteristic, complemented
138#89705C2211yescharacteristic, complemented
139#89700C2211yescharacteristic, complemented
140#89700C2211yescharacteristic, complemented
141#89448C2211yescharacteristic
142#89448C2211yescharacteristic, complemented
143#89447C2211yescharacteristic
144#89447C2211yescharacteristic
145#89447C2211yescharacteristic, complemented
146#89447C2211yescharacteristic, complemented
147#89446C2211yescharacteristic
148#89446C2211yescharacteristic, complemented
149#89445C2211yescharacteristic, complemented
150#89444C2211yescharacteristic
151#89444C2211yescharacteristic
152#89444C2211yescharacteristic
153#89444C2211yescharacteristic
154#89444C2211yescharacteristic, complemented
155#89443C2211yescharacteristic
156#89443C2211yescharacteristic
157#89443C2211yescharacteristic
158#89443C2211yescharacteristic, complemented
159#89441C2211yescharacteristic
160#89441C2211yescharacteristic
161#89441C2211yescharacteristic, complemented
162#89441C2211yescharacteristic, complemented
163#89440C2211yescharacteristic
164#89440C2211yescharacteristic
165#89440C2211yescharacteristic, complemented
166#89440C2211yescharacteristic, complemented
167#89440C2211yescharacteristic, complemented
168#89439C2211yescharacteristic
169#89439C2211yescharacteristic
170#89439C2211yescharacteristic, complemented
171#89437C2211yescharacteristic
172#89437C2211yescharacteristic
173#89437C2211yescharacteristic
174#89437C2211yescharacteristic
175#89437C2211yescharacteristic
176#89437C2211yescharacteristic, complemented
177#89437C2211yescharacteristic, complemented
178#89436C2211yescharacteristic
179#89436C2211yescharacteristic
180#89436C2211yescharacteristic, complemented
181#89433C2211yescharacteristic, complemented
182#89433C2211yescharacteristic, complemented
183#89429C2211yescharacteristic, complemented
184#89429C2211yescharacteristic, complemented
185#89428C2211yescharacteristic, complemented
186#89428C2211yescharacteristic, complemented
187#89427C2211yescharacteristic, complemented
188#89418C2211yescharacteristic, complemented
189#36723—71nomaximal, Sylow
190C24×D7C2311yescharacteristic
191C23×C4×C7C2311yescharacteristic
192C22×C22⋊D7C2311yescharacteristic
193C22×C22⋊D7C2311yescharacteristic
194C22×C22⋊D7C2311yescharacteristic
195C23×Dic7C2311yescharacteristic
196C2×#1157—24no—
197C2×#1157—42no—
198C2×#1157—42no—
199C22×D28C2311yescharacteristic
200C22×D28C2311yescharacteristic
201C22×D28C2311yescharacteristic
202C22×D28C2311yescharacteristic
203C22×D28C2311yescharacteristic
204C22×D28C2311yescharacteristic
205C22×D28C2311yescharacteristic
206C22×D28C2311yescharacteristic
207C22×D28C2311yescharacteristic
208C22×C4×D7—24no—
209C22×C4×D7—42no—
210C22×C4×D7—42no—
211C22×C4×D7C2311yescharacteristic
212C22×C4×D7C2311yescharacteristic
213C22×C4×D7C2311yescharacteristic
214C22×C4×D7C2311yescharacteristic
215C22×C4×D7C2311yescharacteristic
216C22×C4×D7C2311yescharacteristic
217C22×C4×D7C2311yescharacteristic
218C22×C4×D7C2311yescharacteristic
219C22×C4×D7C2311yescharacteristic
220C22×Dic14C2311yescharacteristic
221C22×Dic14C2311yescharacteristic
222C7×#125—24no—
223C7×#117—24no—
224C2×C7×C4⋊C4C2311yescharacteristic
225C2×C7×C4⋊C4C2311yescharacteristic
226C2×C7×C4⋊C4C2311yescharacteristic
227C2×C7×C4⋊C4C2311yescharacteristic
228C2×C7×C4⋊C4C2311yescharacteristic
229C2×C7×C4⋊C4C2311yescharacteristic
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×C42×C7C2311yescharacteristic
243C2×C42×C7C2311yescharacteristic
244C2×C42×C7C2311yescharacteristic
245C2×C42×C7C2311yescharacteristic
246C2×C22⋊Dic7C2311yescharacteristic
247C2×C22⋊Dic7C2311yescharacteristic
248C2×C22⋊Dic7C2311yescharacteristic
249C2×(C2×D7)⋊C4C2311yescharacteristic
250C2×(C2×D7)⋊C4C2311yescharacteristic
251C2×(C2×D7)⋊C4C2311yescharacteristic
252C2×(C2×D7)⋊C4C2311yescharacteristic
253C2×(C2×D7)⋊C4C2311yescharacteristic
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×(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×C4⋊Dic7C2311yescharacteristic
293C2×C4⋊Dic7C2311yescharacteristic
294C2×C4⋊Dic7C2311yescharacteristic
295C2×C4⋊Dic7C2311yescharacteristic
296C2×C4⋊Dic7C2311yescharacteristic
297C2×C4⋊Dic7C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301C2×Dic7⋊C4C2311yescharacteristic
302C2×Dic7⋊C4C2311yescharacteristic
303C2×Dic7⋊C4C2311yescharacteristic
304C2×Dic7⋊C4C2311yescharacteristic
305C2×Dic7⋊C4C2311yescharacteristic
306C2×Dic7⋊C4C2311yescharacteristic
307C2×Dic7⋊C4C2311yescharacteristic
308C2×Dic7⋊C4C2311yescharacteristic
309C2×Dic7⋊C4C2311yescharacteristic
310C2×Dic7⋊C4C2311yescharacteristic
311C2×Dic7⋊C4C2311yescharacteristic
312C2×Dic7⋊C4C2311yescharacteristic
313C2×Dic7⋊C4C2311yescharacteristic
314C2×Dic7⋊C4C2311yescharacteristic
315C2×Dic7⋊C4C2311yescharacteristic
316C2×Dic7⋊C4C2311yescharacteristic
317C2×Dic7⋊C4C2311yescharacteristic
318C2×C4×Dic7C2311yescharacteristic
319C2×C4×Dic7C2311yescharacteristic
320C2×C4×Dic7C2311yescharacteristic
321#6461—24no—
322#6460—24no—
323#6460—24no—
324#6460—24no—
325#6459—24no—
326#6459—24no—
327#6459—42no—
328#6459—42no—
329#6458—24no—
330#6458—24no—
331#6458—24no—
332#6457—24no—
333#6457—24no—
334#6457—24no—
335#6457—24no—
336#6457—42no—
337#6457—42no—
338#6456—24no—
339D7×C4⋊C4—24no—
340#6452—24no—
341#6449—24no—
342#6449—24no—
343#6447—42no—
344#6446—42no—
345#6445—24no—
346#6445—24no—
347#6445—42no—
348#6441—42no—
349#6439—24no—
350C4×D28—24no—
351C4×D28—24no—
352C4×D28—24no—
353C4×D28D418yescomplemented
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
377C7⋊#95C2311yescharacteristic
378C7⋊#95C2311yescharacteristic
379C7⋊#95C2311yescharacteristic
380C7⋊#95C2311yescharacteristic
381C7⋊#95C2311yescharacteristic
382C7⋊#95C2311yescharacteristic
383C7⋊#95C2311yescharacteristic
384C7⋊#95C2311yescharacteristic
385C7⋊#95C2311yescharacteristic
386C2×#539—71no—
387C2×#525—71no—
388#2849—71no—
389#2848—71no—
390#2707—71no—
391#2706—71no—
392#2704—71no—
393#2703—71no—
394#2701—71no—
395#2698—71no—
396#2697—71no—
397#2685—71no—
398#2683—71no—
399#2682—71no—
400#2681—71no—
401#2681—71no—
402#2680—71no—
403#2680—71no—
404#2678—71no—
405#2678—71no—
406#2638—71no—
407#2630—71no—
408#2611D711yescharacteristic, complemented
409#2603—71no—
410#2601—71no—
411#2600—71no—
412#2579—71no—
413#2566—71no—
414#2407—71no—
415#2406—71no—
416#2319—71no—
417C24×C7C2411yescharacteristic
418C23×D7—22no—
419C23×D7—22no—
420C23×D7—22no—
421C23×D7—41no—
422C23×D7—41no—
423C23×D7—41no—
424C23×D7—41no—
425C23×D7C2411yescharacteristic
426C23×D7C2411yescharacteristic
427C23×D7C2411yescharacteristic
428C23×D7C2411yescharacteristic
429C23×D7C2411yescharacteristic
430C22×C4×C7—22no—
431C22×C4×C7—22no—
432C22×C4×C7—22no—
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
445C22×C4×C7C2411yescharacteristic
446C22×C4×C7C2411yescharacteristic
447C2×C22⋊D7—22no—
448C2×C22⋊D7—22no—
449C2×C22⋊D7—22no—
450C2×C22⋊D7—22no—
451C2×C22⋊D7—22no—
452C2×C22⋊D7—41no—
453C2×C22⋊D7—41no—
454C2×C22⋊D7—41no—
455C2×C22⋊D7—41no—
456C22×Dic7—22no—
457C22×Dic7—22no—
458C22×Dic7—41no—
459C22×Dic7C2411yescharacteristic
460C22×Dic7C2411yescharacteristic
461C22×Dic7C2411yescharacteristic
462C22×Dic7C2411yescharacteristic
463C22×Dic7C2411yescharacteristic
464C22×Dic7C2411yescharacteristic
465C22×Dic7C2411yescharacteristic
466C22×Dic7C2411yescharacteristic
467C22×Dic7C2411yescharacteristic
468C22×Dic7C2411yescharacteristic
469C22×Dic7C2411yescharacteristic
470#1157—416no—
471C2×D28—22no—
472C2×D28—22no—
473C2×D28—22no—
474C2×D28—22no—
475C2×D28—22no—
476C2×D28—22no—
477C2×D28—22no—
478C2×D28—22no—
479C2×D28—22no—
480C2×D28—22no—
481C2×D28—41no—
482C2×D28—41no—
483C2×D28—41no—
484C2×D28—41no—
485C2×D28—41no—
486C2×D28—41no—
487C2×D28—41no—
488C2×D28—41no—
489C2×D28—41no—
490C2×D28—41no—
491C2×D28—41no—
492C2×D28—41no—
493C2×D28—41no—
494C2×D28—41no—
495C2×D28—41no—
496C2×D28—41no—
497C2×D28C2×D414yes—
498C2×C4×D7—22no—
499C2×C4×D7—22no—
500C2×C4×D7—22no—
501C2×C4×D7—22no—
502C2×C4×D7—22no—
503C2×C4×D7—22no—
504C2×C4×D7—22no—
505C2×C4×D7—22no—
506C2×C4×D7—22no—
507C2×C4×D7—41no—
508C2×C4×D7—41no—
509C2×C4×D7—41no—
510C2×C4×D7—41no—
511C2×C4×D7—41no—
512C2×C4×D7—41no—
513C2×C4×D7—41no—
514C2×C4×D7—41no—
515C2×C4×D7—41no—
516C2×C4×D7—41no—
517C2×C4×D7—41no—
518C2×C4×D7—41no—
519C2×C4×D7—416no—
520C2×C4×D7—41no—
521C2×C4×D7—41no—
522C2×C4×D7—41no—
523C2×C4×D7—41no—
524C2×C4×D7C2×D414yes—
525C2×C4×D7C2×D414yes—
526C2×Dic14—22no—
527C2×Dic14—22no—
528C2×Dic14—22no—
529C2×Dic14—41no—
530C2×Dic14—41no—
531C2×Dic14—41no—
532C7×C4⋊C4—22no—
533C7×C4⋊C4—22no—
534C7×C4⋊C4—22no—
535C7×C4⋊C4—22no—
536C7×C4⋊C4—22no—
537C7×C4⋊C4—22no—
538C7×C4⋊C4—22no—
539C7×C4⋊C4—22no—
540C7×C4⋊C4—22no—
541C7×C4⋊C4—22no—
542C7×C4⋊C4—41no—
543C7×C4⋊C4—41no—
544C7×C22⋊C4—22no—
545C7×C22⋊C4—22no—
546C7×C22⋊C4—22no—
547C7×C22⋊C4—22no—
548C7×C22⋊C4—41no—
549C7×C22⋊C4—41no—
550C42×C7—22no—
551C42×C7—41no—
552C42×C7—41no—
553C42×C7C2×D414yes—
554C22⋊Dic7—22no—
555C22⋊Dic7—41no—
556C22⋊Dic7—41no—
557(C2×D7)⋊C4—22no—
558(C2×D7)⋊C4—22no—
559(C2×D7)⋊C4—22no—
560(C2×D7)⋊C4—22no—
561(C2×D7)⋊C4—22no—
562(C2×D7)⋊C4—22no—
563(C2×D7)⋊C4—22no—
564(C2×D7)⋊C4—22no—
565(C2×D7)⋊C4—22no—
566(C2×D7)⋊C4—22no—
567(C2×D7)⋊C4—22no—
568(C2×D7)⋊C4—22no—
569(C2×D7)⋊C4—22no—
570(C2×D7)⋊C4—22no—
571(C2×D7)⋊C4—22no—
572(C2×D7)⋊C4—22no—
573(C2×D7)⋊C4—41no—
574(C2×D7)⋊C4—41no—
575(C2×D7)⋊C4—41no—
576(C2×D7)⋊C4—41no—
577(C2×D7)⋊C4—41no—
578(C2×D7)⋊C4—41no—
579(C2×D7)⋊C4—41no—
580(C2×D7)⋊C4—41no—
581(C2×D7)⋊C4—41no—
582(C2×D7)⋊C4—41no—
583(C2×D7)⋊C4—41no—
584(C2×D7)⋊C4—41no—
585(C2×D7)⋊C4—41no—
586(C2×D7)⋊C4—41no—
587(C2×D7)⋊C4—41no—
588(C2×D7)⋊C4—41no—
589(C2×D7)⋊C4—41no—
590(C2×D7)⋊C4—41no—
591(C2×D7)⋊C4—41no—
592(C2×D7)⋊C4—41no—
593(C2×D7)⋊C4—41no—
594(C2×D7)⋊C4—41no—
595(C2×D7)⋊C4—41no—
596(C2×D7)⋊C4—41no—
597(C2×D7)⋊C4—41no—
598(C2×D7)⋊C4C2×D414yes—
599(C2×D7)⋊C4C2×D414yes—
600C4⋊Dic7—22no—
601C4⋊Dic7—22no—
602C4⋊Dic7—22no—
603C4⋊Dic7—22no—
604C4⋊Dic7—41no—
605C4⋊Dic7—41no—
606C4⋊Dic7—41no—
607C4⋊Dic7—41no—
608C4⋊Dic7C2×D414yes—
609Dic7⋊C4—22no—
610Dic7⋊C4—22no—
611Dic7⋊C4—22no—
612Dic7⋊C4—22no—
613Dic7⋊C4—22no—
614Dic7⋊C4—22no—
615Dic7⋊C4—22no—
616Dic7⋊C4—41no—
617Dic7⋊C4—41no—
618Dic7⋊C4—41no—
619Dic7⋊C4—41no—
620Dic7⋊C4—41no—
621Dic7⋊C4—41no—
622Dic7⋊C4—41no—
623Dic7⋊C4—41no—
624Dic7⋊C4—41no—
625Dic7⋊C4—41no—
626C4×Dic7—22no—
627C4×Dic7—41no—
628C4×Dic7—41no—
629C22×#41—71no—
630C24×C4—71no—
631#539—148no—
632C2×#126—71no—
633C2×#126—71no—
634C2×#125—71no—
635C2×#125C2×D711yescharacteristic, complemented
636#525—148no—
637C2×#123—71no—
638C2×#123—71no—
639C2×#123—71no—
640C2×#123—71no—
641C2×#123—71no—
642C2×#123—71no—
643C2×#123—71no—
644C2×#123—71no—
645C2×#123—71no—
646C2×C22⋊Q8—71no—
647C2×C22⋊Q8—71no—
648C2×C22⋊Q8—71no—
649C2×C22⋊Q8—71no—
650C2×C22⋊Q8—71no—
651C2×C22⋊Q8—71no—
652C2×C22⋊Q8—71no—
653C2×C22⋊Q8—71no—
654C2×#121—71no—
655C2×#121—71no—
656C2×#121—71no—
657C2×#121—71no—
658C2×#120—71no—
659C2×#120—71no—
660C2×#120—71no—
661C2×C4×D4—71no—
662C2×C4×D4—71no—
663C2×C4×D4—71no—
664C2×C4×D4—71no—
665C2×C4×D4—71no—
666C2×#117C2×D711yescharacteristic
667C22×C4⋊C4—71no—
668#400C2×D711yescharacteristic, complemented
669#399C2×D711yescharacteristic
670#398—71no—
671#398—71no—
672#398—71no—
673#398—71no—
674#398—71no—
675#398—71no—
676#398C2×D711yescharacteristic, complemented
677#397—71no—
678#397—71no—
679#397—71no—
680#397—71no—
681#397—71no—
682#397—71no—
683#397C2×D711yescharacteristic
684#396—71no—
685#396—71no—
686#396—71no—
687#396—71no—
688#396—71no—
689#396—71no—
690#396—71no—
691#396—71no—
692#396—71no—
693#396—71no—
694#395—71no—
695#395—71no—
696#395—71no—
697#394—71no—
698#394—71no—
699#394—71no—
700#394—71no—
701#394—71no—
702#394—71no—
703#394—71no—
704#394—71no—
705#394—71no—
706#394—71no—
707#394—71no—
708#394—71no—
709#394—71no—
710#393—71no—
711#392—71no—
712#392—71no—
713#392—71no—
714#392—71no—
715#392—71no—
716#391—71no—
717#390—71no—
718#390—71no—
719#390—71no—
720#390—71no—
721#390—71no—
722#390—71no—
723#390—71no—
724#390—71no—
725#389—71no—
726#389—71no—
727#389—71no—
728#389C2×D711yescharacteristic, complemented
729#389C2×D711yescharacteristic, complemented
730#388—71no—
731#388—71no—
732#388—71no—
733#388—71no—
734#388—71no—
735#388—71no—
736#388—71no—
737#388—71no—
738#388—71no—
739#388—71no—
740#388C2×D711yescharacteristic
741#388C2×D711yescharacteristic
742#387—71no—
743#387—71no—
744#387C2×D711yescharacteristic, complemented
745#387C2×D711yescharacteristic, complemented
746#386—71no—
747#386—71no—
748#386—71no—
749#386—71no—
750#386—71no—
751#386—71no—
752#386—71no—
753#386—71no—
754#386—71no—
755#386—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#385C2×D711yescharacteristic
771#385C2×D711yescharacteristic
772#384—71no—
773#382—71no—
774#381—71no—
775#381—71no—
776#381—71no—
777#380—71no—
778#380—71no—
779#380—71no—
780#380—71no—
781#379—71no—
782#379—71no—
783#379—71no—
784C4×C4⋊C4—71no—
785#376C2×D711yescharacteristic, complemented
786C23×C7—21no—
787C23×C7—21no—
788C23×C7—21no—
789C23×C7—21no—
790C23×C7—21no—
791C23×C7—21no—
792C23×C7H(5,𝔽2)12yes—
793C23×C7C2511yescharacteristic
794C22×D7—21no—
795C22×D7—21no—
796C22×D7—21no—
797C22×D7—21no—
798C22×D7—21no—
799C22×D7—21no—
800C22×D7—21no—
801C22×D7—21no—
802C22×D7—21no—
803C22×D7—21no—
804C22×D7—21no—
805C22×D7—21no—
806C22×D7—21no—
807C22×D7—21no—
808C22×D7—21no—
809C22×D7—21no—
810C22×D7—21no—
811C22×D7—21no—
812C22×D7—21no—
813C22×D7—21no—
814C22×D7—21no—
815C22×D7—21no—
816C22×D7—21no—
817C22×D7—21no—
818C22×D7—21no—
819C22×D7—21no—
820C22×D7—21no—
821C22×D7—21no—
822C22×D7—21no—
823C22×D7—21no—
824C22×D7—21no—
825C22×D7—21no—
826C22×D7—44no—
827C22×D7—44no—
828C22×D7—44no—
829C22×D7—44no—
830C22×D7—44no—
831C22×D7—44no—
832C22×D7—44no—
833C22×D7C22×D412yes—
834C22×D7C22×D412yes—
835C22×D72−1+412yes—
836C2×C4×C7—28no—
837C2×C4×C7—21no—
838C2×C4×C7—21no—
839C2×C4×C7—21no—
840C2×C4×C7—21no—
841C2×C4×C7—21no—
842C2×C4×C7—21no—
843C2×C4×C7—21no—
844C2×C4×C7—21no—
845C2×C4×C7—21no—
846C2×C4×C7—21no—
847C2×C4×C7—21no—
848C2×C4×C7—21no—
849C2×C4×C7—21no—
850C2×C4×C7—21no—
851C2×C4×C7—21no—
852C2×C4×C7—21no—
853C2×C4×C7—21no—
854C2×C4×C7—21no—
855C2×C4×C7—21no—
856C2×C4×C7—21no—
857C2×C4×C7—21no—
858C2×C4×C7—21no—
859C2×C4×C7—21no—
860C2×C4×C7—21no—
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×C7C22×D412yes—
876C2×C4×C7C22×D412yes—
877C2×C4×C7C22×D412yes—
878C2×C4×C7H(5,𝔽2)12yes—
879C22⋊D7—44no—
880C22⋊D7—44no—
881C22⋊D7—82no—
882C2×Dic7—21no—
883C2×Dic7—21no—
884C2×Dic7—21no—
885C2×Dic7—21no—
886C2×Dic7—21no—
887C2×Dic7—21no—
888C2×Dic7—21no—
889C2×Dic7—21no—
890C2×Dic7—21no—
891C2×Dic7—21no—
892C2×Dic7—21no—
893C2×Dic7—21no—
894C2×Dic7—21no—
895C2×Dic7—21no—
896C2×Dic7—21no—
897C2×Dic7—21no—
898C2×Dic7—21no—
899C2×Dic7—21no—
900C2×Dic7—21no—
901C2×Dic7—21no—
902C2×Dic7—21no—
903C2×Dic7—21no—
904C2×Dic7—21no—
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—44no—
914C2×Dic7C22×D412yes—
915C2×Dic7C22×D412yes—
916D28—44no—
917D28—44no—
918D28—44no—
919D28—44no—
920D28—44no—
921D28—44no—
922D28—82no—
923D28—82no—
924D28—82no—
925C4×D7—44no—
926C4×D7—44no—
927C4×D7—44no—
928C4×D7—44no—
929C4×D7—44no—
930C4×D7—44no—
931C4×D7—44no—
932C4×D7—82no—
933C4×D7—82no—
934Dic14—44no—
935Dic14—82no—
936C25—71no—
937C2×#41—144no—
938C2×#41—282no—
939C2×#41—282no—
940C22×Q8—71no—
941C22×Q8—71no—
942C22×D4—71no—
943C22×D4—71no—
944C22×D4—71no—
945C22×D4—71no—
946C22×D4—71no—
947C22×D4—71no—
948C22×D4—71no—
949C22×D4—71no—
950C22×D4—71no—
951C22×D4—71no—
952C22×D4—71no—
953C22×D4—71no—
954C23×C4—71no—
955C23×C4—71no—
956C23×C4—71no—
957C23×C4—71no—
958C23×C4—71no—
959C23×C4—71no—
960C23×C4—71no—
961C23×C4—71no—
962C23×C4—71no—
963C23×C4—71no—
964C23×C4—144no—
965C23×C4—282no—
966C23×C4—282no—
967C23×C4C22×D711yescharacteristic
968#126—144no—
969#126—144no—
970#125—24no—
971#125—144no—
972#123—144no—
973#123—144no—
974#123—144no—
975#123—144no—
976#123—144no—
977#123—144no—
978#123—282no—
979#123—282no—
980#123—282no—
981C22⋊Q8—144no—
982C22⋊Q8—144no—
983C22⋊Q8—144no—
984C22⋊Q8—144no—
985C22⋊Q8—144no—
986C22⋊Q8—282no—
987C22⋊Q8—282no—
988C22⋊Q8—282no—
989#121—144no—
990#121—144no—
991#121—144no—
992#121—282no—
993#120—144no—
994#120—144no—
995#120—282no—
996C4×D4—78no—
997C4×D4—144no—
998C4×D4—144no—
999C4×D4—144no—
1000C4×D4—144no—
1001#117—24no—
1002C2×C4⋊C4—71no—
1003C2×C4⋊C4—71no—
1004C2×C4⋊C4—71no—
1005C2×C4⋊C4—71no—
1006C2×C4⋊C4—71no—
1007C2×C4⋊C4—71no—
1008C2×C4⋊C4—71no—
1009C2×C4⋊C4—71no—
1010C2×C4⋊C4—71no—
1011C2×C4⋊C4—71no—
1012C2×C4⋊C4—71no—
1013C2×C4⋊C4—71no—
1014C2×C4⋊C4—71no—
1015C2×C4⋊C4—71no—
1016C2×C4⋊C4—71no—
1017C2×C4⋊C4—71no—
1018C2×C4⋊C4—71no—
1019C2×C4⋊C4—71no—
1020C2×C4⋊C4—71no—
1021C2×C4⋊C4—71no—
1022C2×C4⋊C4—71no—
1023C2×C4⋊C4—71no—
1024C2×C4⋊C4—71no—
1025C2×C4⋊C4—71no—
1026C2×C4⋊C4—71no—
1027C2×C4⋊C4—71no—
1028C2×C4⋊C4—144no—
1029C2×C4⋊C4C22×D711yescharacteristic
1030C2×C4⋊C4C22×D711yescharacteristic
1031C2×C4⋊C4C22×D711yescharacteristic
1032C2×C4⋊C4C22×D711yescharacteristic
1033C2×C4⋊C4C22×D711yescharacteristic
1034C2×C4⋊C4C22×D711yescharacteristic
1035C2×C4⋊C4C22×D711yescharacteristic
1036C2×C4⋊C4C22×D711yescharacteristic
1037C2×C4⋊C4C22×D711yescharacteristic
1038C2×C4⋊C4C22×D711yescharacteristic
1039C2×C4⋊C4C22×D711yescharacteristic
1040C2×C4⋊C4C22×D711yescharacteristic
1041C2×C22⋊C4—71no—
1042C2×C22⋊C4—71no—
1043C2×C22⋊C4—71no—
1044C2×C22⋊C4—71no—
1045C2×C22⋊C4—71no—
1046C2×C22⋊C4—71no—
1047C2×C22⋊C4—71no—
1048C2×C22⋊C4—71no—
1049C2×C22⋊C4—71no—
1050C2×C22⋊C4—71no—
1051C2×C22⋊C4—71no—
1052C2×C22⋊C4—71no—
1053C2×C22⋊C4—71no—
1054C2×C22⋊C4—71no—
1055C2×C22⋊C4—71no—
1056C2×C22⋊C4—71no—
1057C2×C22⋊C4—71no—
1058C2×C22⋊C4—71no—
1059C2×C22⋊C4—71no—
1060C2×C22⋊C4—71no—
1061C2×C22⋊C4—71no—
1062C2×C22⋊C4—71no—
1063C2×C22⋊C4—71no—
1064C2×C22⋊C4—71no—
1065C2×C22⋊C4—71no—
1066C2×C22⋊C4—71no—
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⋊C4C22×D711yescharacteristic
1088C2×C22⋊C4C22×D711yescharacteristic
1089C2×C22⋊C4C22×D711yescharacteristic
1090C2×C22⋊C4C22×D711yescharacteristic
1091C2×C22⋊C4C22×D711yescharacteristic
1092C2×C22⋊C4C22×D711yescharacteristic
1093C2×C42—71no—
1094C2×C42—71no—
1095C2×C42—71no—
1096C2×C42C22×D711yescharacteristic
1097C2×C42C22×D711yescharacteristic
1098C2×C42C22×D711yescharacteristic
1099C2×C42C22×D711yescharacteristic
1100#95—71no—
1101#95—71no—
1102#95—71no—
1103#95—71no—
1104#95—71no—
1105#95—71no—
1106#95—71no—
1107#95—71no—
1108#95—71no—
1109#95—71no—
1110#95—71no—
1111#95—71no—
1112#95—71no—
1113#95—71no—
1114#95—71no—
1115#95—71no—
1116#95—71no—
1117#95—71no—
1118#95—71no—
1119#95—71no—
1120#95C22×D711yescharacteristic
1121#95C22×D711yescharacteristic
1122#95C22×D711yescharacteristic
1123#95C22×D711yescharacteristic
1124#95C22×D711yescharacteristic
1125#95C22×D711yescharacteristic
1126#95C22×D711yescharacteristic
1127#95C22×D711yescharacteristic
1128#95C22×D711yescharacteristic
1129#95C22×D711yescharacteristic
1130#95C22×D711yescharacteristic
1131#95C22×D711yescharacteristic
1132C22×C7—22no—
1133C22×C7—22no—
1134C22×C7—22no—
1135C22×C7—41no—
1136C22×C7—41no—
1137C22×C7—41no—
1138C22×C7—41no—
1139C22×C7C23×D411yescharacteristic
1140C22×C7C2×H(5,𝔽2)11yescharacteristic
1141C22×C7C2×H(5,𝔽2)11yescharacteristic
1142C22×C7C2×2−1+411yescharacteristic
1143C22×C7#58511yescharacteristic
1144C22×C7#58511yescharacteristic
1145C22×C7#58511yescharacteristic
1146C2×D7—22no—
1147C2×D7—22no—
1148C2×D7—22no—
1149C2×D7—22no—
1150C2×D7—22no—
1151C2×D7—22no—
1152C2×D7—22no—
1153C2×D7—22no—
1154C2×D7—22no—
1155C2×D7—416no—
1156C2×D7—41no—
1157C2×D7—41no—
1158C2×D7—41no—
1159C2×D7—41no—
1160C2×D7—41no—
1161C2×D7—41no—
1162C2×D7—41no—
1163C2×D7—41no—
1164C2×D7—41no—
1165C2×D7—41no—
1166C2×D7—41no—
1167C2×D7—41no—
1168C2×D7—41no—
1169C2×D7—41no—
1170C2×D7—41no—
1171C2×D7—41no—
1172C2×D7—41no—
1173C2×D7—41no—
1174C2×D7—41no—
1175C2×D7—41no—
1176C2×D7—41no—
1177C2×D7—41no—
1178C2×D7—41no—
1179C2×D7—41no—
1180C2×D7—41no—
1181C2×D7—41no—
1182C4×C7—22no—
1183C4×C7—22no—
1184C4×C7—22no—
1185C4×C7—22no—
1186C4×C7—41no—
1187C4×C7—41no—
1188C4×C7—41no—
1189C4×C7—41no—
1190C4×C7—41no—
1191C4×C7—41no—
1192C4×C7—41no—
1193C4×C7—41no—
1194C4×C7—41no—
1195C4×C7—41no—
1196Dic7—22no—
1197Dic7—22no—
1198Dic7—41no—
1199Dic7—41no—
1200Dic7—41no—
1201Dic7—41no—
1202Dic7—41no—
1203Dic7—41no—
1204Dic7—41no—
1205Dic7—41no—
1206Dic7—41no—
1207C24—71no—
1208C24—71no—
1209C24—71no—
1210C24—71no—
1211C24—71no—
1212C24—142no—
1213C24—142no—
1214C24—142no—
1215C24—281no—
1216C24—281no—
1217C24—281no—
1218C24—281no—
1219C24C23×D711yescharacteristic
1220#41—2816no—
1221C2×Q8—142no—
1222C2×Q8—142no—
1223C2×Q8—142no—
1224C2×Q8—281no—
1225C2×Q8—281no—
1226C2×Q8—281no—
1227C2×D4—74no—
1228C2×D4—142no—
1229C2×D4—142no—
1230C2×D4—142no—
1231C2×D4—142no—
1232C2×D4—142no—
1233C2×D4—142no—
1234C2×D4—142no—
1235C2×D4—142no—
1236C2×D4—142no—
1237C2×D4—142no—
1238C2×D4—142no—
1239C2×D4—142no—
1240C2×D4—142no—
1241C2×D4—142no—
1242C2×D4—142no—
1243C2×D4—281no—
1244C2×D4—281no—
1245C2×D4—281no—
1246C2×D4—281no—
1247C2×D4—281no—
1248C2×D4—281no—
1249C2×D4—281no—
1250C2×D4—281no—
1251C2×D4—281no—
1252C2×D4—281no—
1253C2×D4—281no—
1254C2×D4—281no—
1255C2×D4—281no—
1256C2×D4—281no—
1257C2×D4—281no—
1258C2×D4—281no—
1259C2×D4—281no—
1260C2×D4—281no—
1261C2×D4—281no—
1262C2×D4—281no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—71no—
1267C22×C4—71no—
1268C22×C4—74no—
1269C22×C4—74no—
1270C22×C4—71no—
1271C22×C4—71no—
1272C22×C4—71no—
1273C22×C4—71no—
1274C22×C4—71no—
1275C22×C4—71no—
1276C22×C4—71no—
1277C22×C4—71no—
1278C22×C4—71no—
1279C22×C4—142no—
1280C22×C4—142no—
1281C22×C4—142no—
1282C22×C4—142no—
1283C22×C4—142no—
1284C22×C4—142no—
1285C22×C4—142no—
1286C22×C4—142no—
1287C22×C4—142no—
1288C22×C4—142no—
1289C22×C4—142no—
1290C22×C4—281no—
1291C22×C4—281no—
1292C22×C4—281no—
1293C22×C4—281no—
1294C22×C4—281no—
1295C22×C4—281no—
1296C22×C4—281no—
1297C22×C4—281no—
1298C22×C4—281no—
1299C22×C4—281no—
1300C22×C4—281no—
1301C22×C4—281no—
1302C22×C4—281no—
1303C22×C4—281no—
1304C22×C4—281no—
1305C22×C4—281no—
1306C22×C4—2816no—
1307C22×C4—281no—
1308C22×C4C23×D711yescharacteristic
1309C22×C4C23×D711yescharacteristic
1310C22×C4C23×D711yescharacteristic
1311C22×C4C23×D711yescharacteristic
1312C22×C4C23×D711yescharacteristic
1313C22×C4C23×D711yescharacteristic
1314C22×C4C23×D711yescharacteristic
1315C22×C4C23×D711yescharacteristic
1316C22×C4C23×D711yescharacteristic
1317C22×C4C23×D711yescharacteristic
1318C22×C4C23×D711yescharacteristic
1319C22×C4C23×D711yescharacteristic
1320C22×C4C23×D711yescharacteristic
1321C22×C4C23×D711yescharacteristic
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—74no—
1335C4⋊C4—142no—
1336C4⋊C4—142no—
1337C4⋊C4—142no—
1338C4⋊C4—142no—
1339C4⋊C4—142no—
1340C4⋊C4—142no—
1341C4⋊C4—142no—
1342C4⋊C4—142no—
1343C4⋊C4—142no—
1344C4⋊C4—142no—
1345C4⋊C4—142no—
1346C4⋊C4—281no—
1347C4⋊C4—281no—
1348C4⋊C4—281no—
1349C4⋊C4—281no—
1350C4⋊C4—281no—
1351C4⋊C4—281no—
1352C4⋊C4—281no—
1353C4⋊C4—281no—
1354C4⋊C4—281no—
1355C4⋊C4—281no—
1356C4⋊C4—281no—
1357C4⋊C4—281no—
1358C4⋊C4—281no—
1359C4⋊C4—281no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—74no—
1367C22⋊C4—74no—
1368C22⋊C4—142no—
1369C22⋊C4—142no—
1370C22⋊C4—142no—
1371C22⋊C4—142no—
1372C22⋊C4—142no—
1373C22⋊C4—142no—
1374C22⋊C4—142no—
1375C22⋊C4—142no—
1376C22⋊C4—142no—
1377C22⋊C4—142no—
1378C22⋊C4—142no—
1379C22⋊C4—142no—
1380C22⋊C4—142no—
1381C22⋊C4—142no—
1382C22⋊C4—142no—
1383C22⋊C4—142no—
1384C22⋊C4—142no—
1385C22⋊C4—281no—
1386C22⋊C4—281no—
1387C22⋊C4—281no—
1388C22⋊C4—281no—
1389C22⋊C4—281no—
1390C22⋊C4—281no—
1391C22⋊C4—281no—
1392C22⋊C4—281no—
1393C22⋊C4—281no—
1394C22⋊C4—281no—
1395C22⋊C4—281no—
1396C22⋊C4—281no—
1397C22⋊C4—281no—
1398C22⋊C4—281no—
1399C22⋊C4—281no—
1400C22⋊C4—281no—
1401C22⋊C4—281no—
1402C22⋊C4—281no—
1403C22⋊C4—281no—
1404C22⋊C4—281no—
1405C22⋊C4—281no—
1406C22⋊C4—281no—
1407C22⋊C4—281no—
1408C22⋊C4—281no—
1409C22⋊C4—281no—
1410C22⋊C4—281no—
1411C22⋊C4—281no—
1412C42—22no—
1413C42—41no—
1414C42—41no—
1415C42—142no—
1416C42—281no—
1417C42—281no—
1418C42D4×D714yes—
1419C2×C7—42no—
1420C2×C7#344911yescharacteristic
1421C2×C7#348411yescharacteristic
1422C2×C7#348911yescharacteristic
1423C2×C7#353311yescharacteristic
1424C2×C7#353511yescharacteristic
1425C2×C7#353911yescharacteristic
1426C2×C7#354111yescharacteristic
1427D7—42no—
1428D7—42no—
1429D7—42no—
1430D7—81no—
1431D7—81no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—72no—
1439C23—72no—
1440C23—72no—
1441C23—141no—
1442C23—141no—
1443C23—141no—
1444C23—141no—
1445C23—141no—
1446C23—141no—
1447C23—141no—
1448C23—141no—
1449C23—141no—
1450C23—141no—
1451C23—141no—
1452C23—141no—
1453C23—141no—
1454C23—141no—
1455C23—141no—
1456C23—141no—
1457C23—141no—
1458C23—141no—
1459C23—141no—
1460C23—141no—
1461C23—141no—
1462C23—141no—
1463C23—141no—
1464C23—141no—
1465C23—141no—
1466C23—141no—
1467C23—141no—
1468C23—141no—
1469C23—141no—
1470C23—141no—
1471C23—141no—
1472C23—141no—
1473C23—284no—
1474C23—284no—
1475C23—284no—
1476C23—284no—
1477C23—284no—
1478C23—284no—
1479C23—284no—
1480C23#655312yes—
1481C23C24×D711yescharacteristic
1482Q8—284no—
1483Q8—562no—
1484D4—284no—
1485D4—284no—
1486D4—284no—
1487D4—284no—
1488D4—284no—
1489D4—284no—
1490D4—284no—
1491D4—284no—
1492D4—562no—
1493D4—562no—
1494D4—562no—
1495D4—562no—
1496C2×C4—28no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—72no—
1536C2×C4—72no—
1537C2×C4—141no—
1538C2×C4—141no—
1539C2×C4—141no—
1540C2×C4—141no—
1541C2×C4—141no—
1542C2×C4—141no—
1543C2×C4—141no—
1544C2×C4—141no—
1545C2×C4—141no—
1546C2×C4—141no—
1547C2×C4—141no—
1548C2×C4—141no—
1549C2×C4—141no—
1550C2×C4—141no—
1551C2×C4—141no—
1552C2×C4—141no—
1553C2×C4—141no—
1554C2×C4—141no—
1555C2×C4—141no—
1556C2×C4—141no—
1557C2×C4—141no—
1558C2×C4—141no—
1559C2×C4—141no—
1560C2×C4—141no—
1561C2×C4—141no—
1562C2×C4—141no—
1563C2×C4—141no—
1564C2×C4—141no—
1565C2×C4—141no—
1566C2×C4—141no—
1567C2×C4—141no—
1568C2×C4—284no—
1569C2×C4—284no—
1570C2×C4—284no—
1571C2×C4—284no—
1572C2×C4—284no—
1573C2×C4—284no—
1574C2×C4—284no—
1575C2×C4—284no—
1576C2×C4—562no—
1577C2×C4—562no—
1578C2×C4C2×D4×D712yes—
1579C2×C4C2×D4×D712yes—
1580C2×C4C2×D4×D712yes—
1581C2×C4#655312yes—
1582C7#3672311yescharacteristic, complemented, Sylow
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—142no—
1591C22—142no—
1592C22—142no—
1593C22—142no—
1594C22—142no—
1595C22—142no—
1596C22—142no—
1597C22—142no—
1598C22—142no—
1599C22—2816no—
1600C22—281no—
1601C22—281no—
1602C22—281no—
1603C22—281no—
1604C22—281no—
1605C22—281no—
1606C22—281no—
1607C22—281no—
1608C22—281no—
1609C22—281no—
1610C22—281no—
1611C22—281no—
1612C22—281no—
1613C22—281no—
1614C22—281no—
1615C22—281no—
1616C22—281no—
1617C22—281no—
1618C22—281no—
1619C22—281no—
1620C22—281no—
1621C22—281no—
1622C22—281no—
1623C22—281no—
1624C22—281no—
1625C22—281no—
1626C22C22×D4×D711yescharacteristic
1627C22C2×#655311yescharacteristic
1628C22C2×#655311yescharacteristic
1629C22#9061611yescharacteristic
1630C22#9061611yescharacteristic
1631C22D7×2−1+411yescharacteristic
1632C22#9062011yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—142no—
1648C4—142no—
1649C4—281no—
1650C4—281no—
1651C4—281no—
1652C4—281no—
1653C4—281no—
1654C4—281no—
1655C4—281no—
1656C4—281no—
1657C4—281no—
1658C2—42no—
1659C2—282no—
1660C2—282no—
1661C2—282no—
1662C2—561no—
1663C2—561no—
1664C2#1174310711yescharacteristic
1665C2#1174330311yescharacteristic
1666C2#1174342411yescharacteristic
1667C2#1174391211yescharacteristic
1668C2#1174391311yescharacteristic
1669C2#1174393211yescharacteristic
1670C2#1174393411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC7×#2611C2
hypercenter#2611D7
hypocenterC7#36723
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ #2611

Complements

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

NH ≅ G/Ntype
1. C2×#90383C2semidirect
2. C2×#90215C2semidirect
3. C7×#2611C2semidirect
4. #11740485C2semidirect
5. #11739704C2semidirect
6. #11735814C2semidirect
7. #11735686C2semidirect
8. #11735561C2semidirect
9. #11735511C2semidirect
10. #11735415C2semidirect
11. #11735414C2semidirect
12. #11735135C2semidirect
13. #11735013C2semidirect
14. #11733710C2semidirect
15. #11733706C2semidirect
16. #11733705C2semidirect
17. #11733557C2semidirect
18. #11733368C2semidirect
19. #11733361C2semidirect
20. #11733134C2semidirect
21. #11733114C2semidirect
22. #11732824C2semidirect
23. #11732822C2semidirect
24. #11732817C2semidirect
25. #11732815C2semidirect
26. #11732101C2semidirect
27. #11732100C2semidirect
28. #11732045C2semidirect
29. #11731849C2semidirect
30. #11730870C2semidirect
31. #11730860C2semidirect
34. C2×C7×#125C22semidirect
41. C2×#6460C22semidirect
44. C2×#6459C22semidirect
45. C2×#6459C22semidirect
53. C2×#6457C22semidirect
54. C2×#6457C22semidirect
55. C2×#6456C22semidirect
56. C2×D7×C4⋊C4C22semidirect
57. C2×#6452C22semidirect
66. C2×#6439C22semidirect
71. C7×#400C22semidirect
73. C7×#398C22semidirect
75. C7×#389C22semidirect
76. C7×#389C22semidirect
79. C7×#387C22semidirect
80. C7×#387C22semidirect
83. C7×#376C22semidirect
89. #89766C22semidirect
90. #89766C22semidirect
91. #89766C22semidirect
92. #89766C22semidirect
95. #89763C22semidirect
96. #89763C22semidirect
98. #89762C22semidirect
103. #89761C22semidirect
104. #89761C22semidirect
105. #89761C22semidirect
108. #89756C22semidirect
109. #89756C22semidirect
110. #89751C22semidirect
111. #89749C22semidirect
112. #89748C22semidirect
113. #89744C22semidirect
131. #89712C22semidirect
132. #89712C22semidirect
136. #89711C22semidirect
137. C4×C4⋊Dic7C22semidirect
138. #89705C22semidirect
139. #89700C22semidirect
140. #89700C22semidirect
142. #89448C22semidirect
145. #89447C22semidirect
146. #89447C22semidirect
148. #89446C22semidirect
149. #89445C22semidirect
154. #89444C22semidirect
158. #89443C22semidirect
161. #89441C22semidirect
162. #89441C22semidirect
165. #89440C22semidirect
166. #89440C22semidirect
167. #89440C22semidirect
170. #89439C22semidirect
176. #89437C22semidirect
177. #89437C22semidirect
180. #89436C22semidirect
181. #89433C22semidirect
182. #89433C22semidirect
183. #89429C22semidirect
184. #89429C22semidirect
185. #89428C22semidirect
186. #89428C22semidirect
187. #89427C22semidirect
188. #89418C22semidirect
353. C4×D28D4semidirect
408. #2611D7semidirect
635. C2×#125C2×D7semidirect
668. #400C2×D7semidirect
676. #398C2×D7semidirect
728. #389C2×D7semidirect
729. #389C2×D7semidirect
744. #387C2×D7semidirect
745. #387C2×D7semidirect
785. #376C2×D7semidirect
1582. C7#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#903832
C2×#902152
C7×#26112
#117404852
#117397042
#117358142
#117356862
#117355612
#117355112
#117354152
#117354142
#117351352
#117350132
#117337102
#117337062
#117337052
#117335572
#117333682
#117333612
#117331342
#117331142
#117328242
#117328222
#117328172
#117328152
#117321012
#117321002
#117320452
#117318492
#117308702
#117308602
#367237