Finite Group Databasebeta

← #14224008

Subgroups — #14224008

Order 1792.

1980 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11743308C211yesmaximal, characteristic, complemented
2#11743224C211yesmaximal, characteristic, complemented
3C7×#3180C211yesmaximal, characteristic, complemented
4#11740736C211yesmaximal, characteristic, complemented
5#11740579C211yesmaximal, characteristic, complemented
6#11739420C211yesmaximal, characteristic, complemented
7#11739406C211yesmaximal, characteristic, complemented
8#11739293C211yesmaximal, characteristic, complemented
9#11739282C211yesmaximal, characteristic, complemented
10#11739159C211yesmaximal, characteristic, complemented
11#11739151C211yesmaximal, characteristic, complemented
12#11739125C211yesmaximal, characteristic, complemented
13#11739112C211yesmaximal, characteristic, complemented
14#11738160C211yesmaximal, characteristic, complemented
15D7×#466C211yesmaximal, characteristic, complemented
16#11738146C211yesmaximal, characteristic, complemented
17#11738142C211yesmaximal, characteristic, complemented
18#11738102C211yesmaximal, characteristic, complemented
19#11738101C211yesmaximal, characteristic, complemented
20#11738083C211yesmaximal, characteristic, complemented
21#11738078C211yesmaximal, characteristic, complemented
22#11737312C211yesmaximal, characteristic, complemented
23#11737311C211yesmaximal, characteristic, complemented
24#11737306C211yesmaximal, characteristic, complemented
25#11737305C211yesmaximal, characteristic, complemented
26#11737223C211yesmaximal, characteristic, complemented
27#11737220C211yesmaximal, characteristic, complemented
28#11737215C211yesmaximal, characteristic, complemented
29#11737213C211yesmaximal, characteristic, complemented
30#11735945C211yesmaximal, characteristic, complemented
31C2×#89480C211yesmaximal, characteristic, complemented
32C7×#532C2211yescharacteristic, complemented
33C7×#529C2211yescharacteristic, complemented
34#90520—21no—
35#90515—21no—
36C2×#6479C2211yescharacteristic
37C2×#6477C2211yescharacteristic
38C2×#6474C2211yescharacteristic
39C2×D7×D8C2211yescharacteristic
40C22×#1131C2211yescharacteristic
41C22×C8×D7C2211yescharacteristic
42#90424C2211yescharacteristic, complemented
43#90420C2211yescharacteristic
44#90410C2211yescharacteristic, complemented
45#90406C2211yescharacteristic
46#90400—21no—
47#90396—21no—
48#90389C2211yescharacteristic, complemented
49#90380C2211yescharacteristic
50#90373C2211yescharacteristic, complemented
51#90370—21no—
52#90365C2211yescharacteristic
53#90361—21no—
54#90346—21no—
55#90345—21no—
56#90318C2211yescharacteristic
57#90315C2211yescharacteristic, complemented
58#90301—21no—
59#90297C2211yescharacteristic
60D7×#121C2211yescharacteristic
61D7×#121C2211yescharacteristic
62#90292—21no—
63#90291C2211yescharacteristic, complemented
64#90287C2211yescharacteristic, complemented
65#90287C2211yescharacteristic, complemented
66#90273C2211yescharacteristic, complemented
67#90265C2211yescharacteristic
68#90253C2211yescharacteristic, complemented
69#90253C2211yescharacteristic, complemented
70#90252C2211yescharacteristic, complemented
71#90247—21no—
72#90245—21no—
73#90237C2211yescharacteristic
74#90236C2211yescharacteristic
75#90236C2211yescharacteristic
76#90231—21no—
77#90231—21no—
78#90223—21no—
79#90218—21no—
80#90170C2211yescharacteristic, complemented
81#90168C2211yescharacteristic, complemented
82C2×#6435C2211yescharacteristic
83C7×#501C2211yescharacteristic, complemented
84C7×#496C2211yescharacteristic, complemented
85C7×#490C2211yescharacteristic, complemented
86C7×#489C2211yescharacteristic, complemented
87C7×#466C2211yescharacteristic
88C7×#466C2211yescharacteristic, complemented
89C7×#465C2211yescharacteristic, complemented
90C7×#465C2211yescharacteristic, complemented
91C7×#442C2211yescharacteristic, complemented
92C7×#442C2211yescharacteristic, complemented
93C7×#440C2211yescharacteristic, complemented
94C7×#440C2211yescharacteristic, complemented
95C2×C7×#97C2211yescharacteristic, complemented
96#89948C2211yescharacteristic, complemented
97#89946C2211yescharacteristic, complemented
98#89943C2211yescharacteristic, complemented
99#89940C2211yescharacteristic, complemented
100#89936C2211yescharacteristic, complemented
101SD16×Dic7C2211yescharacteristic, complemented
102#89931C2211yescharacteristic, complemented
103#89929C2211yescharacteristic
104#89926C2211yescharacteristic, complemented
105#89924C2211yescharacteristic, complemented
106#89923C2211yescharacteristic, complemented
107D8×Dic7C2211yescharacteristic, complemented
108#89887C2211yescharacteristic
109#89887C2211yescharacteristic, complemented
110#89886C2211yescharacteristic, complemented
111#89886C2211yescharacteristic, complemented
112C2×#6389C2211yescharacteristic, complemented
113C2×C8×Dic7C2211yescharacteristic, complemented
114#89860C2211yescharacteristic, complemented
115#89850C2211yescharacteristic, complemented
116#89845C2211yescharacteristic, complemented
117#89842C2211yescharacteristic, complemented
118#89840C2211yescharacteristic, complemented
119#89836C2211yescharacteristic, complemented
120#89831C2211yescharacteristic, complemented
121#89828C2211yescharacteristic, complemented
122#89823C2211yescharacteristic, complemented
123#89820C2211yescharacteristic, complemented
124#89813C2211yescharacteristic, complemented
125#89810C2211yescharacteristic
126#89810C2211yescharacteristic
127#89810C2211yescharacteristic, complemented
128#89810C2211yescharacteristic, complemented
129#89810C2211yescharacteristic, complemented
130C4×#1144C2211yescharacteristic, complemented
131C4×#1143C2211yescharacteristic, complemented
132C4×#1142C2211yescharacteristic, complemented
133C4×#1141C2211yescharacteristic, complemented
134C4×#1141C2211yescharacteristic, complemented
135C4×#1141C2211yescharacteristic, complemented
136C4×#1141C2211yescharacteristic, complemented
137C4×#1141C2211yescharacteristic, complemented
138C2×C4×C7⋊C8C2211yescharacteristic, complemented
139#89661C2211yescharacteristic, complemented
140#89658C2211yescharacteristic, complemented
141#89655C2211yescharacteristic
142#89653C2211yescharacteristic
143D7×#107C2211yescharacteristic
144#89648C2211yescharacteristic, complemented
145#89646C2211yescharacteristic, complemented
146#89644C2211yescharacteristic, complemented
147#89641C2211yescharacteristic, complemented
148#89637C2211yescharacteristic, complemented
149#89636C2211yescharacteristic, complemented
150#89633C2211yescharacteristic
151#89632C2211yescharacteristic
152#89630C2211yescharacteristic, complemented
153#89628C2211yescharacteristic, complemented
154#89624C2211yescharacteristic, complemented
155#89589C2211yescharacteristic, complemented
156#89585C2211yescharacteristic, complemented
157#89584C2211yescharacteristic, complemented
158#89576C2211yescharacteristic
159#89575C2211yescharacteristic
160#89572C2211yescharacteristic, complemented
161#89567C2211yescharacteristic, complemented
162#89562C2211yescharacteristic, complemented
163#89557C2211yescharacteristic, complemented
164#89557C2211yescharacteristic, complemented
165#89554C2211yescharacteristic, complemented
166#89554C2211yescharacteristic, complemented
167#89552C2211yescharacteristic, complemented
168#89547C2211yescharacteristic
169#89547C2211yescharacteristic
170#89547C2211yescharacteristic, complemented
171#89544C2211yescharacteristic
172#89543C2211yescharacteristic
173#89542C2211yescharacteristic
174#89542C2211yescharacteristic
175D7×#102C2211yescharacteristic
176D7×#102C2211yescharacteristic
177#89540C2211yescharacteristic, complemented
178#89537C2211yescharacteristic, complemented
179#89536C2211yescharacteristic, complemented
180#89536C2211yescharacteristic, complemented
181#89532C2211yescharacteristic, complemented
182#89532C2211yescharacteristic, complemented
183#89529C2211yescharacteristic, complemented
184#89528C2211yescharacteristic, complemented
185#89528C2211yescharacteristic, complemented
186#89528C2211yescharacteristic, complemented
187#89486C2211yescharacteristic, complemented
188#89485C2211yescharacteristic, complemented
189#89484C2211yescharacteristic, complemented
190#89483C2211yescharacteristic, complemented
191#89483C2211yescharacteristic, complemented
192#89482C2211yescharacteristic, complemented
193#89482C2211yescharacteristic, complemented
194#89480C2211yescharacteristic
195#89480C2211yescharacteristic
196#89480C2211yescharacteristic
197#89480C2211yescharacteristic
198#89480C2211yescharacteristic, complemented
199#89480C2211yescharacteristic, complemented
200#89480C2211yescharacteristic, complemented
201#89480C2211yescharacteristic, complemented
202#89474C2211yescharacteristic, complemented
203#60707—71nomaximal, Sylow
204C2×C7×#41—21no—
205C2×#1161C2311yescharacteristic
206C2×#1159—21no—
207C2×#1159—21no—
208C2×#1159C2311yescharacteristic
209C2×D4×D7—21no—
210C2×D4×D7—21no—
211C2×D4×D7C2311yescharacteristic
212C2×D4×D7C2311yescharacteristic
213C2×#1157—21no—
214C22×C4×D7C2311yescharacteristic
215C2×C7×SD16C2311yescharacteristic
216C2×C7×SD16C2311yescharacteristic
217C2×C7×D8C2311yescharacteristic
218C2×C7×D8C2311yescharacteristic
219C22×C7×C8C2311yescharacteristic
220C22×C7×C8C2311yescharacteristic
221C7×C4⋊Q8C2311yescharacteristic
222C7×#127C2311yescharacteristic
223C7×#126—21no—
224C7×#125C2311yescharacteristic
225C7×#124—21no—
226C7×#124C2311yescharacteristic
227C7×#123—21no—
228C7×C22⋊Q8C2311yescharacteristic
229C7×#121—21no—
230C7×#121C2311yescharacteristic
231C7×#121C2311yescharacteristic
232C7×#121C2311yescharacteristic
233C4×C7×Q8C2311yescharacteristic
234C4×C7×D4—21no—
235C4×C7×D4—21no—
236C4×C7×D4C2311yescharacteristic
237C4×C7×D4C2311yescharacteristic
238C4×C7×D4C2311yescharacteristic
239C7×#117—21no—
240C2×C42×C7C2311yescharacteristic
241#6510—21no—
242#6510C2311yescharacteristic
243#6509—21no—
244#6509—21no—
245#6509C2311yescharacteristic
246Q8×Dic7C2311yescharacteristic
247#6507—21no—
248C2×#1144C2311yescharacteristic
249C2×#1143C2311yescharacteristic
250#6503C2311yescharacteristic
251#6503C2311yescharacteristic
252#6502—21no—
253#6502—21no—
254#6502—21no—
255#6502—21no—
256#6502—21no—
257#6502—21no—
258#6502—21no—
259#6502—21no—
260#6501C2311yescharacteristic
261#6501C2311yescharacteristic
262#6501C2311yescharacteristic
263#6500—21no—
264#6500—21no—
265#6500—21no—
266#6499C2311yescharacteristic
267#6498—21no—
268#6498—21no—
269#6498—21no—
270D4×Dic7—21no—
271D4×Dic7—21no—
272D4×Dic7C2311yescharacteristic
273D4×Dic7C2311yescharacteristic
274D4×Dic7C2311yescharacteristic
275C2×#1142C2311yescharacteristic
276C2×#1141C2311yescharacteristic
277C2×#1141C2311yescharacteristic
278C2×#1141C2311yescharacteristic
279C2×#1141C2311yescharacteristic
280C2×#1141C2311yescharacteristic
281#6493—21no—
282#6493—21no—
283#6493—21no—
284#6493C2311yescharacteristic
285#6493C2311yescharacteristic
286#6493C2311yescharacteristic
287#6492—21no—
288#6492—21no—
289#6492—21no—
290#6492—21no—
291C4×C22⋊D7—21no—
292C4×C22⋊D7—21no—
293C4×C22⋊D7—21no—
294C4×C22⋊D7—21no—
295C2×(C2×D7)⋊C4—21no—
296C2×(C2×D7)⋊C4—21no—
297C2×(C2×D7)⋊C4D411yescharacteristic
298C2×(C2×D7)⋊C4D411yescharacteristic
299#6487—21no—
300#6487C2311yescharacteristic
301C2×Dic7⋊C4—21no—
302C2×Dic7⋊C4D411yescharacteristic
303C2×Dic7⋊C4D411yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C22×C7⋊C8C2311yescharacteristic
306C22×C7⋊C8C2311yescharacteristic
307#6479—24no—
308#6477—24no—
309#6474—24no—
310D7×D8—24no—
311C2×D56C2311yescharacteristic
312C2×D56C2311yescharacteristic
313C2×#1132C2311yescharacteristic
314C2×#1132C2311yescharacteristic
315C2×#1131—24no—
316C2×#1131C2311yescharacteristic
317C2×#1131C2311yescharacteristic
318C2×#1131C2311yescharacteristic
319C2×#1131C2311yescharacteristic
320C2×C8×D7—24no—
321C2×C8×D7C2311yescharacteristic
322C2×C8×D7C2311yescharacteristic
323C2×C8×D7C2311yescharacteristic
324C2×C8×D7C2311yescharacteristic
325#6461—21no—
326#6461—21no—
327#6460—21no—
328#6460C2311yescharacteristic
329#6459—21no—
330#6459—21no—
331#6459—21no—
332#6458—21no—
333#6458—21no—
334#6458C2311yescharacteristic
335#6458C2311yescharacteristic
336#6458C2311yescharacteristic
337#6457—21no—
338#6457—21no—
339#6457—21no—
340#6457—21no—
341#6457—21no—
342#6456—21no—
343#6456—21no—
344#6456C2311yescharacteristic
345#6456C2311yescharacteristic
346#6456C2311yescharacteristic
347#6455—21no—
348#6455C2311yescharacteristic
349#6455C2311yescharacteristic
350D7×C4⋊C4—21no—
351D7×C4⋊C4C2311yescharacteristic
352D7×C4⋊C4C2311yescharacteristic
353#6453C2311yescharacteristic
354#6453C2311yescharacteristic
355#6452—21no—
356#6452—21no—
357#6451—21no—
358#6451C2311yescharacteristic
359#6451C2311yescharacteristic
360#6450C2311yescharacteristic
361#6449—21no—
362#6449—21no—
363#6448—21no—
364#6448—21no—
365#6448—21no—
366#6448—21no—
367#6447—21no—
368#6447—21no—
369#6447—21no—
370#6447—21no—
371#6447—21no—
372#6447—21no—
373#6446—21no—
374#6446—21no—
375#6446—21no—
376#6445—21no—
377#6445—21no—
378#6445—21no—
379(C22⋊D7)⋊C4—21no—
380(C22⋊D7)⋊C4—21no—
381(C22⋊D7)⋊C4—21no—
382(C22⋊D7)⋊C4—21no—
383(C22⋊D7)⋊C4—21no—
384(C22⋊D7)⋊C4—21no—
385(C22⋊D7)⋊C4—21no—
386(C22⋊D7)⋊C4—21no—
387D7×C22⋊C4—21no—
388D7×C22⋊C4—21no—
389D7×C22⋊C4—21no—
390D7×C22⋊C4—21no—
391#6442—21no—
392#6442—21no—
393#6442—21no—
394#6441—21no—
395#6440—21no—
396#6440—21no—
397#6439—21no—
398#6439—21no—
399#6438—21no—
400#6438—21no—
401#6438C2311yescharacteristic
402#6437C2311yescharacteristic
403C4×D28—21no—
404C4×D28—21no—
405C4×D28C2311yescharacteristic
406C4×D28C2311yescharacteristic
407C4×D28C2311yescharacteristic
408#6435—21no—
409#6435—21no—
410#6435D411yescharacteristic
411#6435D411yescharacteristic
412#6435D411yescharacteristic
413#6435D411yescharacteristic
414#6435C2311yescharacteristic
415#6435C2311yescharacteristic
416#6435C2311yescharacteristic
417#6435C2311yescharacteristic
418#6433C2311yescharacteristic
419#6432C2311yescharacteristic
420C4×Dic14C2311yescharacteristic
421C7×#107C2311yescharacteristic
422C7×#107C2311yescharacteristic
423C7×#106C2311yescharacteristic
424C7×#106C2311yescharacteristic
425C7×#103C2311yescharacteristic
426C7×#103C2311yescharacteristic
427C7×#102C2311yescharacteristic
428C7×#102C2311yescharacteristic
429C7×#102C2311yescharacteristic
430C7×#102C2311yescharacteristic
431C7×#102C2311yescharacteristic
432C7×#102C2311yescharacteristic
433C7×#97C2311yescharacteristic
434C7×#97C2311yescharacteristic
435C7×#97C2311yescharacteristic
436C7×#97C2311yescharacteristic
437#6409C2311yescharacteristic
438#6409C2311yescharacteristic
439#6406C2311yescharacteristic
440#6406C2311yescharacteristic
441#6406C2311yescharacteristic
442#6406C2311yescharacteristic
443#6406C2311yescharacteristic
444#6406C2311yescharacteristic
445#6395C2311yescharacteristic
446#6395C2311yescharacteristic
447#6395C2311yescharacteristic
448#6395C2311yescharacteristic
449#6395C2311yescharacteristic
450#6395C2311yescharacteristic
451#6392C2311yescharacteristic
452#6392C2311yescharacteristic
453#6391C2311yescharacteristic
454#6391C2311yescharacteristic
455#6390C2311yescharacteristic
456#6390C2311yescharacteristic
457#6389C2311yescharacteristic
458#6389C2311yescharacteristic
459#6389C2311yescharacteristic
460#6389C2311yescharacteristic
461C8×Dic7C2311yescharacteristic
462C8×Dic7C2311yescharacteristic
463C8×Dic7C2311yescharacteristic
464C8×Dic7C2311yescharacteristic
465#6384C2311yescharacteristic
466#6384C2311yescharacteristic
467#6383C2311yescharacteristic
468#6383C2311yescharacteristic
469#6383C2311yescharacteristic
470#6383C2311yescharacteristic
471#6383C2311yescharacteristic
472#6383C2311yescharacteristic
473#6382C2311yescharacteristic
474#6382C2311yescharacteristic
475#6381C2311yescharacteristic
476#6381C2311yescharacteristic
477#6381C2311yescharacteristic
478#6381C2311yescharacteristic
479#6381C2311yescharacteristic
480#6381C2311yescharacteristic
481C4×C7⋊C8C2311yescharacteristic
482C4×C7⋊C8C2311yescharacteristic
483C4×C7⋊C8C2311yescharacteristic
484C4×C7⋊C8C2311yescharacteristic
485#3494—71no—
486#3494—71no—
487#3180—71no—
488#3180—71no—
489#3180—71no—
490#3180D711yescharacteristic, complemented
491#3179—71no—
492#3179—71no—
493#3179—71no—
494#3179—71no—
495#3176—71no—
496#3176—71no—
497#3175—71no—
498#3175—71no—
499#3169—71no—
500#3169—71no—
501#3168—71no—
502#3168—71no—
503#3164—71no—
504#3155—71no—
505#3136—71no—
506#3136—71no—
507#3055—71no—
508#3055—71no—
509#3050—71no—
510C2×#466—71no—
511#2951—71no—
512#2948—71no—
513#2946—71no—
514#2946—71no—
515C2×#405—71no—
516C23×D7—21no—
517C23×D7—21no—
518C23×D7C2×D411yescharacteristic
519C7×#41—82no—
520C2×C7×Q8—21no—
521C2×C7×Q8C2411yescharacteristic
522C2×C7×D4—21no—
523C2×C7×D4—21no—
524C2×C7×D4—21no—
525C2×C7×D4—21no—
526C2×C7×D4—21no—
527C2×C7×D4C2411yescharacteristic
528C2×C7×D4C2411yescharacteristic
529C2×C7×D4C2411yescharacteristic
530C22×C4×C7—21no—
531C22×C4×C7—21no—
532C22×C4×C7—21no—
533C22×C4×C7C2×D411yescharacteristic
534C22×C4×C7C2×D411yescharacteristic
535C22×C4×C7C2411yescharacteristic
536C2×C22⋊D7—21no—
537C2×C22⋊D7—21no—
538C2×C22⋊D7—21no—
539C2×C22⋊D7—21no—
540C2×C22⋊D7—21no—
541C2×C22⋊D7—21no—
542C2×C22⋊D7—21no—
543C2×C22⋊D7—21no—
544C2×C22⋊D7—21no—
545C2×C22⋊D7—21no—
546C2×C22⋊D7—21no—
547C2×C22⋊D7—21no—
548C2×C22⋊D7—21no—
549C22×Dic7—21no—
550C22×Dic7—21no—
551C22×Dic7—21no—
552C22×Dic7—21no—
553C22×Dic7C2×D411yescharacteristic
554C22×Dic7C2×D411yescharacteristic
555C22×Dic7C2×D411yescharacteristic
556#1161—22no—
557#1161—22no—
558#1159—22no—
559#1159—22no—
560#1159—82no—
561#1159—82no—
562D4×D7—22no—
563D4×D7—22no—
564D4×D7—22no—
565D4×D7—22no—
566D4×D7—82no—
567D4×D7—82no—
568#1157—82no—
569C2×D28—21no—
570C2×D28—21no—
571C2×D28—21no—
572C2×D28—21no—
573C2×D28—21no—
574C2×D28—21no—
575C2×D28C2411yescharacteristic
576C2×D28C2411yescharacteristic
577C2×D28C2411yescharacteristic
578C2×C4×D7—22no—
579C2×C4×D7—22no—
580C2×C4×D7—21no—
581C2×C4×D7—21no—
582C2×C4×D7—21no—
583C2×C4×D7—21no—
584C2×C4×D7—21no—
585C2×C4×D7—21no—
586C2×C4×D7—21no—
587C2×C4×D7—21no—
588C2×C4×D7—21no—
589C2×C4×D7C2×D411yescharacteristic
590C2×C4×D7C2×D411yescharacteristic
591C2×C4×D7C2411yescharacteristic
592C2×C4×D7C2411yescharacteristic
593C2×Dic14—21no—
594C2×Dic14—21no—
595C2×Dic14—21no—
596C2×Dic14C2411yescharacteristic
597C7×SD16—22no—
598C7×SD16—22no—
599C7×D8—22no—
600C7×D8—22no—
601C2×C7×C8—22no—
602C2×C7×C8—22no—
603C2×C7×C8C2411yescharacteristic
604C2×C7×C8C2411yescharacteristic
605C2×C7×C8C2411yescharacteristic
606C2×C7×C8C2411yescharacteristic
607C7×C4⋊C4—21no—
608C7×C4⋊C4—21no—
609C7×C4⋊C4—21no—
610C7×C4⋊C4—21no—
611C7×C4⋊C4—21no—
612C7×C4⋊C4C2411yescharacteristic
613C7×C4⋊C4C2411yescharacteristic
614C7×C4⋊C4C2411yescharacteristic
615C7×C4⋊C4C2411yescharacteristic
616C7×C22⋊C4—21no—
617C7×C22⋊C4—21no—
618C7×C22⋊C4—21no—
619C7×C22⋊C4—21no—
620C7×C22⋊C4—21no—
621C7×C22⋊C4—21no—
622C7×C22⋊C4—21no—
623C7×C22⋊C4—21no—
624C7×C22⋊C4—21no—
625C42×C7—21no—
626C42×C7C2×D411yescharacteristic
627C42×C7C2×D411yescharacteristic
628C42×C7C2411yescharacteristic
629C42×C7C2411yescharacteristic
630C22⋊Dic7—21no—
631C22⋊Dic7—21no—
632C22⋊Dic7—21no—
633C22⋊Dic7—21no—
634C22⋊Dic7—21no—
635C22⋊Dic7—21no—
636C22⋊Dic7—21no—
637C22⋊Dic7—21no—
638C22⋊Dic7—21no—
639#1144—22no—
640#1143—22no—
641#1142—22no—
642#1141—22no—
643#1141—22no—
644#1141—22no—
645#1141—22no—
646#1141—22no—
647(C2×D7)⋊C4—21no—
648(C2×D7)⋊C4—21no—
649(C2×D7)⋊C4—21no—
650(C2×D7)⋊C4—21no—
651(C2×D7)⋊C4—21no—
652(C2×D7)⋊C4—21no—
653(C2×D7)⋊C4—21no—
654(C2×D7)⋊C4—21no—
655(C2×D7)⋊C4—21no—
656(C2×D7)⋊C4—21no—
657(C2×D7)⋊C4—21no—
658(C2×D7)⋊C4—21no—
659(C2×D7)⋊C4—21no—
660(C2×D7)⋊C4—21no—
661(C2×D7)⋊C4—21no—
662(C2×D7)⋊C4—21no—
663(C2×D7)⋊C4—21no—
664(C2×D7)⋊C4—21no—
665(C2×D7)⋊C4—21no—
666(C2×D7)⋊C4—21no—
667(C2×D7)⋊C4C2×D411yescharacteristic
668(C2×D7)⋊C4C2×D411yescharacteristic
669(C2×D7)⋊C4C2×D411yescharacteristic
670(C2×D7)⋊C4C2×D411yescharacteristic
671(C2×D7)⋊C4C2×D411yescharacteristic
672(C2×D7)⋊C4C2×D411yescharacteristic
673(C2×D7)⋊C4C2×D411yescharacteristic
674(C2×D7)⋊C4C2×D411yescharacteristic
675C4⋊Dic7—21no—
676C4⋊Dic7—21no—
677C4⋊Dic7—21no—
678C4⋊Dic7—21no—
679C4⋊Dic7—21no—
680C4⋊Dic7C2411yescharacteristic
681C4⋊Dic7C2411yescharacteristic
682C4⋊Dic7C2411yescharacteristic
683C4⋊Dic7C2411yescharacteristic
684Dic7⋊C4—21no—
685Dic7⋊C4—21no—
686Dic7⋊C4—21no—
687Dic7⋊C4—21no—
688Dic7⋊C4—21no—
689Dic7⋊C4—21no—
690Dic7⋊C4—21no—
691Dic7⋊C4—21no—
692Dic7⋊C4—21no—
693Dic7⋊C4—21no—
694Dic7⋊C4—21no—
695Dic7⋊C4—21no—
696Dic7⋊C4C2×D411yescharacteristic
697Dic7⋊C4C2×D411yescharacteristic
698Dic7⋊C4C2×D411yescharacteristic
699Dic7⋊C4C2×D411yescharacteristic
700Dic7⋊C4C2×D411yescharacteristic
701Dic7⋊C4C2×D411yescharacteristic
702Dic7⋊C4C2×D411yescharacteristic
703Dic7⋊C4C2×D411yescharacteristic
704C4×Dic7—21no—
705C4×Dic7—21no—
706C4×Dic7—21no—
707C4×Dic7—21no—
708C4×Dic7—21no—
709C4×Dic7C2×D411yescharacteristic
710C4×Dic7C2×D411yescharacteristic
711C4×Dic7C2411yescharacteristic
712C4×Dic7C2411yescharacteristic
713C2×C7⋊C8—22no—
714C2×C7⋊C8—22no—
715C2×C7⋊C8C2411yescharacteristic
716C2×C7⋊C8C2411yescharacteristic
717C2×C7⋊C8C2411yescharacteristic
718C2×C7⋊C8C2411yescharacteristic
719D56—22no—
720D56—22no—
721#1132—22no—
722#1132—22no—
723#1131—22no—
724#1131—22no—
725#1131—22no—
726#1131#4114yescomplemented
727C8×D7—22no—
728C8×D7—22no—
729C8×D7—22no—
730C8×D7#4114yescomplemented
731C2×AGL(1,ℤ/8)—71no—
732C2×AGL(1,ℤ/8)—71no—
733C2×#135—71no—
734C22×D8—71no—
735C22×M16—71no—
736C23×C8—71no—
737#555—141no—
738#555—141no—
739#553—141no—
740#553—141no—
741#553—141no—
742#553—141no—
743#551—141no—
744#551—141no—
745#551—141no—
746#551—141no—
747#547—141no—
748#547—141no—
749#546—141no—
750#546—141no—
751#546—141no—
752#546—141no—
753#544—71no—
754#544—71no—
755#542—71no—
756#542—71no—
757#542—71no—
758#542—71no—
759#540—71no—
760#540—71no—
761#540—71no—
762#540—71no—
763#535—71no—
764#535—71no—
765#532—71no—
766#532—71no—
767#532—71no—
768#532C2×D711yescharacteristic, complemented
769#529—71no—
770#529—71no—
771#529—71no—
772#529C2×D711yescharacteristic, complemented
773#525—71no—
774#525—71no—
775C2×#121—71no—
776C2×#121—71no—
777#520—71no—
778#520—71no—
779#518—71no—
780#518—71no—
781C2×#117—71no—
782#501—71no—
783#501—71no—
784#501—71no—
785#501C2×D711yescharacteristic, complemented
786#500—71no—
787#500—71no—
788#499—71no—
789#499—71no—
790#496—71no—
791#496—71no—
792#496—71no—
793#496C2×D711yescharacteristic, complemented
794#495—71no—
795#495—71no—
796#493—71no—
797#493—71no—
798#490—71no—
799#490—71no—
800#490—71no—
801#490C2×D711yescharacteristic, complemented
802#489—71no—
803#489—71no—
804#489—71no—
805#489C2×D711yescharacteristic, complemented
806#488—71no—
807#488—71no—
808#488—71no—
809#488—71no—
810#486—71no—
811#486—71no—
812#486—71no—
813#486—71no—
814#469—71no—
815#469—71no—
816#469—71no—
817#469—71no—
818#468—71no—
819#468—71no—
820#468—71no—
821#468—71no—
822#467—71no—
823#467—71no—
824#466—71no—
825#466—71no—
826#466—71no—
827#466—71no—
828#466—71no—
829#466—71no—
830#466—71no—
831#466—71no—
832#466—71no—
833#466—71no—
834#466—71no—
835#466—71no—
836#466C2×D711yescharacteristic
837#466C2×D711yescharacteristic, complemented
838#465—71no—
839#465—71no—
840#465—71no—
841#465—71no—
842#465—71no—
843#465—71no—
844#465C2×D711yescharacteristic, complemented
845#465C2×D711yescharacteristic, complemented
846#442—71no—
847#442—71no—
848#442—71no—
849#442—71no—
850#442—71no—
851#442—71no—
852#442C2×D711yescharacteristic, complemented
853#442C2×D711yescharacteristic, complemented
854#440—71no—
855#440—71no—
856#440—71no—
857#440—71no—
858#440—71no—
859#440—71no—
860#440C2×D711yescharacteristic, complemented
861#440C2×D711yescharacteristic, complemented
862C4×Q16—71no—
863C4×Q16—71no—
864C4×SD16—71no—
865C4×SD16—71no—
866C4×SD16—71no—
867C4×SD16—71no—
868C4×D8—71no—
869C4×D8—71no—
870C4×D8—71no—
871C4×D8—71no—
872C4×D8—71no—
873C4×D8—71no—
874C4×D8—71no—
875C4×D8—71no—
876C4×D8—71no—
877C4×D8—71no—
878#428—71no—
879#428—71no—
880#427—71no—
881C2×#107—71no—
882#418—71no—
883#418—71no—
884#417—71no—
885#417—71no—
886#416—71no—
887#416—71no—
888C2×#102—71no—
889C2×#102—71no—
890#405—71no—
891#405—71no—
892#405—71no—
893#405—71no—
894#405—71no—
895#405—71no—
896#405—71no—
897#405—71no—
898C2×#97—71no—
899C2×#97C2×D711yescharacteristic, complemented
900C2×C4×C8—71no—
901C2×C4×C8—71no—
902C23×C7—21no—
903C23×C7—21no—
904C23×C7—21no—
905C23×C7C22×D411yescharacteristic
906C22×D7—22no—
907C22×D7—22no—
908C22×D7—21no—
909C22×D7—21no—
910C22×D7—21no—
911C22×D7—41no—
912C22×D7—42no—
913C22×D7—42no—
914C22×D7—81no—
915C22×D7—81no—
916C22×D7—81no—
917C22×D7—81no—
918C22×D7C22×D411yescharacteristic
919C22×D7C22×D411yescharacteristic
920C7×Q8—21no—
921C7×Q8—21no—
922C7×Q8—81no—
923C7×D4—21no—
924C7×D4—21no—
925C7×D4—21no—
926C7×D4—21no—
927C7×D4—21no—
928C7×D4—21no—
929C7×D4—42no—
930C7×D4—42no—
931C7×D4—42no—
932C7×D4—81no—
933C7×D4—81no—
934C2×C4×C7—22no—
935C2×C4×C7—21no—
936C2×C4×C7—21no—
937C2×C4×C7—21no—
938C2×C4×C7—21no—
939C2×C4×C7—21no—
940C2×C4×C7—21no—
941C2×C4×C7—21no—
942C2×C4×C7—41no—
943C2×C4×C7—81no—
944C2×C4×C7—81no—
945C2×C4×C7—81no—
946C2×C4×C7C22×D411yescharacteristic
947C2×C4×C7C22×D411yescharacteristic
948C2×C4×C7C22×D411yescharacteristic
949C2×C4×C7C22×D411yescharacteristic
950C2×C4×C7C22×D411yescharacteristic
951C2×C4×C7C2511yescharacteristic
952C22⋊D7—42no—
953C22⋊D7—42no—
954C22⋊D7—42no—
955C22⋊D7—42no—
956C22⋊D7—42no—
957C22⋊D7—42no—
958C22⋊D7—81no—
959C22⋊D7—81no—
960C22⋊D7—81no—
961C22⋊D7—81no—
962C22⋊D7—81no—
963C22⋊D7—81no—
964C22⋊D7—81no—
965C2×Dic7—22no—
966C2×Dic7—22no—
967C2×Dic7—21no—
968C2×Dic7—21no—
969C2×Dic7—21no—
970C2×Dic7—21no—
971C2×Dic7—21no—
972C2×Dic7—41no—
973C2×Dic7—42no—
974C2×Dic7—81no—
975C2×Dic7—81no—
976C2×Dic7—81no—
977C2×Dic7C22×D411yescharacteristic
978C2×Dic7C22×D411yescharacteristic
979C2×Dic7C22×D411yescharacteristic
980C2×Dic7C22×D411yescharacteristic
981C2×Dic7C22×D411yescharacteristic
982C2×Dic7C22×D411yescharacteristic
983D28—21no—
984D28—21no—
985D28—21no—
986D28—21no—
987D28—21no—
988D28—21no—
989D28—42no—
990D28—81no—
991D28—81no—
992D28—81no—
993D28—81no—
994D28—81no—
995C4×D7—22no—
996C4×D7—21no—
997C4×D7—21no—
998C4×D7—22no—
999C4×D7—42no—
1000C4×D7—81no—
1001C4×D7—81no—
1002C4×D7—81no—
1003C4×D7—81no—
1004C4×D7—81no—
1005C4×D7—81no—
1006C4×D7—81no—
1007C4×D7—81no—
1008C4×D7C2×#4112yes—
1009C4×D7C2×#4112yes—
1010Dic14—21no—
1011Dic14—21no—
1012Dic14—81no—
1013Dic14—81no—
1014Dic14—81no—
1015C7×C8—21no—
1016C7×C8—21no—
1017C7×C8C2×#4112yes—
1018C7×C8C2×#4112yes—
1019C7⋊C8—21no—
1020C7⋊C8—21no—
1021C7⋊C8C2×#4112yes—
1022C7⋊C8C2×#4112yes—
1023C2×#41—21no—
1024C2×#41—71no—
1025C2×#41—71no—
1026C2×#41—141no—
1027C2×#41—141no—
1028C2×#41—141no—
1029C22×D4—71no—
1030C22×D4—71no—
1031C22×D4—141no—
1032C22×D4—141no—
1033C23×C4—71no—
1034AGL(1,ℤ/8)—144no—
1035AGL(1,ℤ/8)—144no—
1036#135—144no—
1037C2×Q16—71no—
1038C2×SD16—71no—
1039C2×SD16—71no—
1040C2×SD16—71no—
1041C2×SD16—71no—
1042C2×SD16C22×D711yescharacteristic
1043C2×SD16C22×D711yescharacteristic
1044C2×D8—71no—
1045C2×D8—71no—
1046C2×D8—71no—
1047C2×D8—71no—
1048C2×D8—71no—
1049C2×D8—71no—
1050C2×D8—71no—
1051C2×D8—144no—
1052C2×D8C22×D711yescharacteristic
1053C2×D8C22×D711yescharacteristic
1054C2×M16—71no—
1055C2×M16—71no—
1056C2×M16—71no—
1057C2×M16—71no—
1058C2×M16—144no—
1059C22×C8—71no—
1060C22×C8—71no—
1061C22×C8—71no—
1062C22×C8—71no—
1063C22×C8—71no—
1064C22×C8—71no—
1065C22×C8—144no—
1066C22×C8C22×D711yescharacteristic
1067C22×C8C22×D711yescharacteristic
1068C4⋊Q8—71no—
1069C4⋊Q8—71no—
1070C4⋊Q8—71no—
1071C4⋊Q8—141no—
1072C4⋊Q8—141no—
1073C4⋊Q8C22×D711yescharacteristic
1074#127—71no—
1075#127—71no—
1076#127—71no—
1077#127C22×D711yescharacteristic
1078#126—21no—
1079#126—141no—
1080#126—141no—
1081#126—141no—
1082#126—141no—
1083#126—141no—
1084#126—141no—
1085#126—141no—
1086#125—71no—
1087#125—71no—
1088#125—71no—
1089#125—141no—
1090#125—141no—
1091#125C22×D711yescharacteristic
1092#124—21no—
1093#124—71no—
1094#124—71no—
1095#124—71no—
1096#124—141no—
1097#124—141no—
1098#124—141no—
1099#124—141no—
1100#124—141no—
1101#124—141no—
1102#124—141no—
1103#124C22×D711yescharacteristic
1104#123—21no—
1105#123—141no—
1106#123—141no—
1107#123—141no—
1108#123—141no—
1109#123—141no—
1110#123—141no—
1111#123—141no—
1112#123—141no—
1113#123—141no—
1114#123—141no—
1115#123—141no—
1116#123—141no—
1117#123—141no—
1118#123—141no—
1119#123—141no—
1120#123—141no—
1121#123—141no—
1122C22⋊Q8—71no—
1123C22⋊Q8—71no—
1124C22⋊Q8—71no—
1125C22⋊Q8—141no—
1126C22⋊Q8—141no—
1127C22⋊Q8—141no—
1128C22⋊Q8—141no—
1129C22⋊Q8—141no—
1130C22⋊Q8—141no—
1131C22⋊Q8—141no—
1132C22⋊Q8—141no—
1133C22⋊Q8C22×D711yescharacteristic
1134#121—21no—
1135#121—71no—
1136#121—71no—
1137#121—71no—
1138#121—71no—
1139#121—71no—
1140#121—71no—
1141#121—71no—
1142#121—71no—
1143#121—71no—
1144#121—141no—
1145#121—141no—
1146#121—141no—
1147#121—141no—
1148#121—141no—
1149#121—141no—
1150#121—141no—
1151#121—141no—
1152#121—141no—
1153#121—141no—
1154#121—141no—
1155#121—141no—
1156#121—141no—
1157#121—141no—
1158#121—141no—
1159#121—141no—
1160#121—141no—
1161#121—141no—
1162#121—141no—
1163#121C22×D711yescharacteristic
1164#121C22×D711yescharacteristic
1165#121C22×D711yescharacteristic
1166#120—141no—
1167#120—141no—
1168#120—141no—
1169#120—141no—
1170#120—141no—
1171#120—141no—
1172C4×Q8—71no—
1173C4×Q8—71no—
1174C4×Q8—71no—
1175C4×Q8C22×D711yescharacteristic
1176C4×D4—21no—
1177C4×D4—21no—
1178C4×D4—71no—
1179C4×D4—71no—
1180C4×D4—71no—
1181C4×D4—71no—
1182C4×D4—71no—
1183C4×D4—71no—
1184C4×D4—71no—
1185C4×D4—71no—
1186C4×D4—71no—
1187C4×D4—141no—
1188C4×D4—141no—
1189C4×D4—141no—
1190C4×D4—141no—
1191C4×D4—141no—
1192C4×D4—141no—
1193C4×D4—141no—
1194C4×D4—141no—
1195C4×D4—141no—
1196C4×D4—141no—
1197C4×D4—141no—
1198C4×D4—141no—
1199C4×D4—141no—
1200C4×D4—141no—
1201C4×D4—141no—
1202C4×D4—141no—
1203C4×D4—141no—
1204C4×D4—141no—
1205C4×D4C22×D711yescharacteristic
1206C4×D4C22×D711yescharacteristic
1207C4×D4C22×D711yescharacteristic
1208#117—21no—
1209#117—71no—
1210#117—71no—
1211#117—71no—
1212#117—71no—
1213#117—71no—
1214#117—71no—
1215#117—71no—
1216#117—71no—
1217#117—71no—
1218#117—71no—
1219#117—141no—
1220#117—141no—
1221#117—141no—
1222#117—141no—
1223#117—141no—
1224C2×C4⋊C4—71no—
1225C2×C4⋊C4—71no—
1226C2×C4⋊C4—71no—
1227C2×C4⋊C4—71no—
1228C2×C4⋊C4—141no—
1229C2×C4⋊C4—141no—
1230C2×C22⋊C4—71no—
1231C2×C22⋊C4—71no—
1232C2×C22⋊C4—141no—
1233C2×C22⋊C4—141no—
1234C2×C22⋊C4—141no—
1235C2×C22⋊C4—141no—
1236C2×C22⋊C4—141no—
1237C2×C22⋊C4—141no—
1238C2×C42—71no—
1239C2×C42C22×D711yescharacteristic
1240#107—71no—
1241#107—71no—
1242#107—71no—
1243#107—71no—
1244#107—71no—
1245#107—71no—
1246#107—71no—
1247#107—71no—
1248#107C22×D711yescharacteristic
1249#107C22×D711yescharacteristic
1250#106—71no—
1251#106—71no—
1252#106—71no—
1253#106—71no—
1254#106C22×D711yescharacteristic
1255#106C22×D711yescharacteristic
1256#103—71no—
1257#103—71no—
1258#103—71no—
1259#103—71no—
1260#103—71no—
1261#103—71no—
1262#103C22×D711yescharacteristic
1263#103C22×D711yescharacteristic
1264#102—71no—
1265#102—71no—
1266#102—71no—
1267#102—71no—
1268#102—71no—
1269#102—71no—
1270#102—71no—
1271#102—71no—
1272#102—71no—
1273#102—71no—
1274#102—71no—
1275#102—71no—
1276#102—71no—
1277#102—71no—
1278#102—71no—
1279#102—71no—
1280#102—71no—
1281#102—71no—
1282#102C22×D711yescharacteristic
1283#102C22×D711yescharacteristic
1284#102C22×D711yescharacteristic
1285#102C22×D711yescharacteristic
1286#102C22×D711yescharacteristic
1287#102C22×D711yescharacteristic
1288#97—71no—
1289#97—71no—
1290#97—71no—
1291#97—71no—
1292#97C22×D711yescharacteristic
1293#97C22×D711yescharacteristic
1294#97C22×D711yescharacteristic
1295#97C22×D711yescharacteristic
1296C4×C8—71no—
1297C4×C8—71no—
1298C4×C8—71no—
1299C4×C8—71no—
1300C4×C8—71no—
1301C4×C8—71no—
1302C4×C8—71no—
1303C4×C8—71no—
1304C22×C7—21no—
1305C22×C7—21no—
1306C22×C7—41no—
1307C22×C7—41no—
1308C22×C7—41no—
1309C22×C7—41no—
1310C22×C7—41no—
1311C22×C7—41no—
1312C22×C7—41no—
1313C22×C7—41no—
1314C22×C7—41no—
1315C22×C7#57612yes—
1316C22×C7C23×D411yescharacteristic
1317C2×D7—21no—
1318C2×D7—21no—
1319C2×D7—21no—
1320C2×D7—21no—
1321C2×D7—21no—
1322C2×D7—44no—
1323C2×D7—41no—
1324C2×D7—41no—
1325C2×D7—41no—
1326C2×D7—41no—
1327C2×D7—41no—
1328C2×D7—41no—
1329C2×D7—41no—
1330C2×D7—41no—
1331C2×D7—41no—
1332C2×D7—162no—
1333C2×D7—162no—
1334C2×D7#53212yes—
1335C4×C7—21no—
1336C4×C7—21no—
1337C4×C7—21no—
1338C4×C7—21no—
1339C4×C7—21no—
1340C4×C7—41no—
1341C4×C7—41no—
1342C4×C7—41no—
1343C4×C7—41no—
1344C4×C7—41no—
1345C4×C7C22×#4111yescharacteristic
1346C4×C7C22×#4111yescharacteristic
1347Dic7—21no—
1348Dic7—21no—
1349Dic7—21no—
1350Dic7—21no—
1351Dic7—21no—
1352Dic7—41no—
1353Dic7—41no—
1354Dic7—41no—
1355Dic7—41no—
1356Dic7—41no—
1357Dic7#53212yes—
1358C24—71no—
1359C24—141no—
1360C24—141no—
1361#41—82no—
1362#41—142no—
1363#41—142no—
1364#41—142no—
1365#41—142no—
1366#41—562no—
1367#41—562no—
1368#41—562no—
1369C2×Q8—21no—
1370C2×Q8—71no—
1371C2×Q8—141no—
1372C2×Q8—141no—
1373C2×Q8—141no—
1374C2×Q8C23×D711yescharacteristic
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—71no—
1381C2×D4—71no—
1382C2×D4—71no—
1383C2×D4—141no—
1384C2×D4—141no—
1385C2×D4—141no—
1386C2×D4—141no—
1387C2×D4—142no—
1388C2×D4—142no—
1389C2×D4—142no—
1390C2×D4—142no—
1391C2×D4—141no—
1392C2×D4—141no—
1393C2×D4—141no—
1394C2×D4—141no—
1395C2×D4—141no—
1396C2×D4—141no—
1397C2×D4—141no—
1398C2×D4—141no—
1399C2×D4—141no—
1400C2×D4—141no—
1401C2×D4—141no—
1402C2×D4—141no—
1403C2×D4—141no—
1404C2×D4—141no—
1405C2×D4—141no—
1406C2×D4—562no—
1407C2×D4—562no—
1408C2×D4C23×D711yescharacteristic
1409C2×D4C23×D711yescharacteristic
1410C2×D4C23×D711yescharacteristic
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—71no—
1415C22×C4—71no—
1416C22×C4—71no—
1417C22×C4—71no—
1418C22×C4—71no—
1419C22×C4—71no—
1420C22×C4—71no—
1421C22×C4—142no—
1422C22×C4—142no—
1423C22×C4—141no—
1424C22×C4—141no—
1425C22×C4—141no—
1426C22×C4—141no—
1427C22×C4—141no—
1428C22×C4—141no—
1429C22×C4—141no—
1430C22×C4—141no—
1431C22×C4—141no—
1432C22×C4—141no—
1433C22×C4—141no—
1434C22×C4—141no—
1435C22×C4—141no—
1436C22×C4D4×D711yescharacteristic
1437C22×C4D4×D711yescharacteristic
1438C22×C4C23×D711yescharacteristic
1439Q16—142no—
1440SD16—22no—
1441SD16—22no—
1442SD16—142no—
1443SD16—142no—
1444SD16—142no—
1445SD16—142no—
1446D8—22no—
1447D8—22no—
1448D8—142no—
1449D8—142no—
1450D8—142no—
1451D8—142no—
1452D8—142no—
1453D8—142no—
1454D8—142no—
1455M16—74no—
1456M16—142no—
1457M16—142no—
1458M16—142no—
1459C2×C8—22no—
1460C2×C8—22no—
1461C2×C8—71no—
1462C2×C8—71no—
1463C2×C8—74no—
1464C2×C8—71no—
1465C2×C8—71no—
1466C2×C8—142no—
1467C2×C8—142no—
1468C2×C8—142no—
1469C2×C8—142no—
1470C2×C8—142no—
1471C2×C8C23×D711yescharacteristic
1472C2×C8C23×D711yescharacteristic
1473C2×C8C23×D711yescharacteristic
1474C2×C8C23×D711yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—71no—
1481C4⋊C4—71no—
1482C4⋊C4—71no—
1483C4⋊C4—71no—
1484C4⋊C4—71no—
1485C4⋊C4—71no—
1486C4⋊C4—71no—
1487C4⋊C4—71no—
1488C4⋊C4—71no—
1489C4⋊C4—71no—
1490C4⋊C4—71no—
1491C4⋊C4—71no—
1492C4⋊C4—141no—
1493C4⋊C4—141no—
1494C4⋊C4—141no—
1495C4⋊C4—141no—
1496C4⋊C4—141no—
1497C4⋊C4—141no—
1498C4⋊C4—141no—
1499C4⋊C4—141no—
1500C4⋊C4—141no—
1501C4⋊C4—141no—
1502C4⋊C4—141no—
1503C4⋊C4—141no—
1504C4⋊C4—141no—
1505C4⋊C4—141no—
1506C4⋊C4—141no—
1507C4⋊C4—141no—
1508C4⋊C4—141no—
1509C4⋊C4C23×D711yescharacteristic
1510C4⋊C4C23×D711yescharacteristic
1511C4⋊C4C23×D711yescharacteristic
1512C4⋊C4C23×D711yescharacteristic
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—71no—
1523C22⋊C4—71no—
1524C22⋊C4—71no—
1525C22⋊C4—71no—
1526C22⋊C4—71no—
1527C22⋊C4—71no—
1528C22⋊C4—71no—
1529C22⋊C4—71no—
1530C22⋊C4—141no—
1531C22⋊C4—141no—
1532C22⋊C4—141no—
1533C22⋊C4—141no—
1534C22⋊C4—141no—
1535C22⋊C4—141no—
1536C22⋊C4—141no—
1537C22⋊C4—141no—
1538C22⋊C4—141no—
1539C22⋊C4—141no—
1540C22⋊C4—141no—
1541C22⋊C4—141no—
1542C22⋊C4—141no—
1543C22⋊C4—141no—
1544C22⋊C4—141no—
1545C22⋊C4—141no—
1546C22⋊C4—141no—
1547C22⋊C4—141no—
1548C22⋊C4—141no—
1549C22⋊C4—141no—
1550C22⋊C4—141no—
1551C22⋊C4—141no—
1552C22⋊C4—141no—
1553C22⋊C4—141no—
1554C22⋊C4—141no—
1555C22⋊C4—141no—
1556C22⋊C4—141no—
1557C22⋊C4—141no—
1558C22⋊C4—141no—
1559C42—21no—
1560C42—71no—
1561C42—71no—
1562C42—71no—
1563C42—71no—
1564C42—141no—
1565C42—141no—
1566C42—141no—
1567C42—141no—
1568C42—141no—
1569C42D4×D711yescharacteristic
1570C42D4×D711yescharacteristic
1571C42C23×D711yescharacteristic
1572C42C23×D711yescharacteristic
1573C2×C7—22no—
1574C2×C7—81no—
1575C2×C7—81no—
1576C2×C7—81no—
1577C2×C7C2×#53211yescharacteristic
1578C2×C7C2×#57611yescharacteristic
1579C2×C7#358411yescharacteristic
1580D7—22no—
1581D7—41no—
1582D7—81no—
1583D7—81no—
1584D7—81no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—71no—
1589C23—71no—
1590C23—142no—
1591C23—142no—
1592C23—141no—
1593C23—141no—
1594C23—141no—
1595C23—281no—
1596C23—282no—
1597C23—282no—
1598C23—561no—
1599C23—561no—
1600C23—561no—
1601C23—561no—
1602C23C2×D4×D711yescharacteristic
1603Q8—21no—
1604Q8—21no—
1605Q8—81no—
1606Q8—141no—
1607Q8—141no—
1608Q8—561no—
1609Q8—561no—
1610Q8—561no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—42no—
1618D4—42no—
1619D4—42no—
1620D4—81no—
1621D4—81no—
1622D4—141no—
1623D4—141no—
1624D4—141no—
1625D4—141no—
1626D4—141no—
1627D4—141no—
1628D4—282no—
1629D4—282no—
1630D4—282no—
1631D4—282no—
1632D4—282no—
1633D4—282no—
1634D4—282no—
1635D4—561no—
1636D4—561no—
1637D4—561no—
1638D4—561no—
1639D4—561no—
1640D4—561no—
1641D4—561no—
1642D4—561no—
1643D4—561no—
1644D4—561no—
1645D4—561no—
1646D4—561no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—41no—
1656C2×C4—71no—
1657C2×C4—72no—
1658C2×C4—72no—
1659C2×C4—71no—
1660C2×C4—71no—
1661C2×C4—71no—
1662C2×C4—71no—
1663C2×C4—71no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—142no—
1668C2×C4—142no—
1669C2×C4—142no—
1670C2×C4—142no—
1671C2×C4—141no—
1672C2×C4—141no—
1673C2×C4—141no—
1674C2×C4—141no—
1675C2×C4—141no—
1676C2×C4—141no—
1677C2×C4—141no—
1678C2×C4—282no—
1679C2×C4—282no—
1680C2×C4—281no—
1681C2×C4—561no—
1682C2×C4—561no—
1683C2×C4—561no—
1684C2×C4—561no—
1685C2×C4—561no—
1686C2×C4—561no—
1687C2×C4—561no—
1688C2×C4—561no—
1689C2×C4—561no—
1690C2×C4—561no—
1691C2×C4—561no—
1692C2×C4C2×D4×D711yescharacteristic
1693C2×C4C2×D4×D711yescharacteristic
1694C2×C4C2×D4×D711yescharacteristic
1695C2×C4C2×D4×D711yescharacteristic
1696C2×C4C2×D4×D711yescharacteristic
1697C2×C4C24×D711yescharacteristic
1698C8—21no—
1699C8—21no—
1700C8—72no—
1701C8—72no—
1702C8—141no—
1703C8—141no—
1704C8D7×#4112yes—
1705C8D7×#4112yes—
1706C7#6070711yescharacteristic, complemented, Sylow
1707C22—21no—
1708C22—21no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—72no—
1719C22—141no—
1720C22—141no—
1721C22—141no—
1722C22—141no—
1723C22—141no—
1724C22—284no—
1725C22—281no—
1726C22—281no—
1727C22—281no—
1728C22—281no—
1729C22—281no—
1730C22—281no—
1731C22—281no—
1732C22—281no—
1733C22—281no—
1734C22—1122no—
1735C22—1122no—
1736C22#9046512yes—
1737C22C22×D4×D711yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—72no—
1749C4—141no—
1750C4—141no—
1751C4—141no—
1752C4—141no—
1753C4—141no—
1754C4—281no—
1755C4—281no—
1756C4—281no—
1757C4—281no—
1758C4—281no—
1759C4C2×D7×#4111yescharacteristic
1760C4C2×D7×#4111yescharacteristic
1761C2—22no—
1762C2—81no—
1763C2—81no—
1764C2—81no—
1765C2—142no—
1766C2—281no—
1767C2—561no—
1768C2—561no—
1769C2—561no—
1770C2D7×#53211yescharacteristic
1771C2C2×#9046511yescharacteristic
1772C2#1174426711yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3180C2
socleC22×C7C23×D4
hypercenter#3180D7
hypocenterC7#60707
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3180

Complements

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

NH ≅ G/Ntype
1. #11743308C2semidirect
2. #11743224C2semidirect
3. C7×#3180C2semidirect
4. #11740736C2semidirect
5. #11740579C2semidirect
6. #11739420C2semidirect
7. #11739406C2semidirect
8. #11739293C2semidirect
9. #11739282C2semidirect
10. #11739159C2semidirect
11. #11739151C2semidirect
12. #11739125C2semidirect
13. #11739112C2semidirect
14. #11738160C2semidirect
15. D7×#466C2semidirect
16. #11738146C2semidirect
17. #11738142C2semidirect
18. #11738102C2semidirect
19. #11738101C2semidirect
20. #11738083C2semidirect
21. #11738078C2semidirect
22. #11737312C2semidirect
23. #11737311C2semidirect
24. #11737306C2semidirect
25. #11737305C2semidirect
26. #11737223C2semidirect
27. #11737220C2semidirect
28. #11737215C2semidirect
29. #11737213C2semidirect
30. #11735945C2semidirect
31. C2×#89480C2semidirect
32. C7×#532C22semidirect
33. C7×#529C22semidirect
42. #90424C22semidirect
44. #90410C22semidirect
48. #90389C22semidirect
50. #90373C22semidirect
57. #90315C22semidirect
63. #90291C22semidirect
64. #90287C22semidirect
65. #90287C22semidirect
66. #90273C22semidirect
68. #90253C22semidirect
69. #90253C22semidirect
70. #90252C22semidirect
80. #90170C22semidirect
81. #90168C22semidirect
83. C7×#501C22semidirect
84. C7×#496C22semidirect
85. C7×#490C22semidirect
86. C7×#489C22semidirect
88. C7×#466C22semidirect
89. C7×#465C22semidirect
90. C7×#465C22semidirect
91. C7×#442C22semidirect
92. C7×#442C22semidirect
93. C7×#440C22semidirect
94. C7×#440C22semidirect
95. C2×C7×#97C22semidirect
96. #89948C22semidirect
97. #89946C22semidirect
98. #89943C22semidirect
99. #89940C22semidirect
100. #89936C22semidirect
101. SD16×Dic7C22semidirect
102. #89931C22semidirect
104. #89926C22semidirect
105. #89924C22semidirect
106. #89923C22semidirect
107. D8×Dic7C22semidirect
109. #89887C22semidirect
110. #89886C22semidirect
111. #89886C22semidirect
112. C2×#6389C22semidirect
113. C2×C8×Dic7C22semidirect
114. #89860C22semidirect
115. #89850C22semidirect
116. #89845C22semidirect
117. #89842C22semidirect
118. #89840C22semidirect
119. #89836C22semidirect
120. #89831C22semidirect
121. #89828C22semidirect
122. #89823C22semidirect
123. #89820C22semidirect
124. #89813C22semidirect
127. #89810C22semidirect
128. #89810C22semidirect
129. #89810C22semidirect
130. C4×#1144C22semidirect
131. C4×#1143C22semidirect
132. C4×#1142C22semidirect
133. C4×#1141C22semidirect
134. C4×#1141C22semidirect
135. C4×#1141C22semidirect
136. C4×#1141C22semidirect
137. C4×#1141C22semidirect
138. C2×C4×C7⋊C8C22semidirect
139. #89661C22semidirect
140. #89658C22semidirect
144. #89648C22semidirect
145. #89646C22semidirect
146. #89644C22semidirect
147. #89641C22semidirect
148. #89637C22semidirect
149. #89636C22semidirect
152. #89630C22semidirect
153. #89628C22semidirect
154. #89624C22semidirect
155. #89589C22semidirect
156. #89585C22semidirect
157. #89584C22semidirect
160. #89572C22semidirect
161. #89567C22semidirect
162. #89562C22semidirect
163. #89557C22semidirect
164. #89557C22semidirect
165. #89554C22semidirect
166. #89554C22semidirect
167. #89552C22semidirect
170. #89547C22semidirect
177. #89540C22semidirect
178. #89537C22semidirect
179. #89536C22semidirect
180. #89536C22semidirect
181. #89532C22semidirect
182. #89532C22semidirect
183. #89529C22semidirect
184. #89528C22semidirect
185. #89528C22semidirect
186. #89528C22semidirect
187. #89486C22semidirect
188. #89485C22semidirect
189. #89484C22semidirect
190. #89483C22semidirect
191. #89483C22semidirect
192. #89482C22semidirect
193. #89482C22semidirect
198. #89480C22semidirect
199. #89480C22semidirect
200. #89480C22semidirect
201. #89480C22semidirect
202. #89474C22semidirect
490. #3180D7semidirect
726. #1131#41semidirect
730. C8×D7#41semidirect
768. #532C2×D7semidirect
772. #529C2×D7semidirect
785. #501C2×D7semidirect
793. #496C2×D7semidirect
801. #490C2×D7semidirect
805. #489C2×D7semidirect
837. #466C2×D7semidirect
844. #465C2×D7semidirect
845. #465C2×D7semidirect
852. #442C2×D7semidirect
853. #442C2×D7semidirect
860. #440C2×D7semidirect
861. #440C2×D7semidirect
899. C2×#97C2×D7semidirect
1706. C7#60707semidirect

Maximal subgroups

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

subgroupindex
#117433082
#117432242
C7×#31802
#117407362
#117405792
#117394202
#117394062
#117392932
#117392822
#117391592
#117391512
#117391252
#117391122
#117381602
D7×#4662
#117381462
#117381422
#117381022
#117381012
#117380832
#117380782
#117373122
#117373112
#117373062
#117373052
#117372232
#117372202
#117372152
#117372132
#117359452
C2×#894802
#607077