Finite Group Databasebeta

← #14224015

Subgroups — #14224015

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#11743618C211yesmaximal, characteristic, complemented
2#11743553C211yesmaximal, characteristic, complemented
3C7×#3179C211yesmaximal, characteristic, complemented
4#11740902C211yesmaximal, characteristic, complemented
5#11740877C211yesmaximal, characteristic, complemented
6#11739420C211yesmaximal, characteristic, complemented
7#11739407C211yesmaximal, characteristic, complemented
8#11739293C211yesmaximal, characteristic, complemented
9#11739283C211yesmaximal, characteristic, complemented
10#11739083C211yesmaximal, characteristic, complemented
11#11739073C211yesmaximal, characteristic, complemented
12#11739008C211yesmaximal, characteristic, complemented
13#11739002C211yesmaximal, characteristic, complemented
14#11738309C211yesmaximal, characteristic, complemented
15#11738295C211yesmaximal, characteristic, complemented
16#11738250C211yesmaximal, characteristic, complemented
17#11738232C211yesmaximal, characteristic, complemented
18D7×#466C211yesmaximal, characteristic, complemented
19#11738145C211yesmaximal, characteristic, complemented
20#11738101C211yesmaximal, characteristic, complemented
21#11738082C211yesmaximal, characteristic, complemented
22#11737321C211yesmaximal, characteristic, complemented
23#11737312C211yesmaximal, characteristic, complemented
24#11737235C211yesmaximal, characteristic, complemented
25#11737223C211yesmaximal, characteristic, complemented
26#11737108C211yesmaximal, characteristic, complemented
27#11737092C211yesmaximal, characteristic, complemented
28#11737043C211yesmaximal, characteristic, complemented
29#11737032C211yesmaximal, characteristic, complemented
30#11736023C211yesmaximal, characteristic, complemented
31D7×#405C211yesmaximal, characteristic, complemented
32C7×#542C2211yescharacteristic, complemented
33C7×#540C2211yescharacteristic, complemented
34C2×#6479C2211yescharacteristic
35C2×#6477C2211yescharacteristic
36C2×#6474C2211yescharacteristic
37C2×D7×D8C2211yescharacteristic
38C2×D7×M16C2211yescharacteristic
39C22×C8×D7C2211yescharacteristic
40#90420C2211yescharacteristic
41#90416C2211yescharacteristic, complemented
42#90407C2211yescharacteristic, complemented
43#90406C2211yescharacteristic
44#90400—21no—
45#90396—21no—
46#90382C2211yescharacteristic, complemented
47#90380C2211yescharacteristic
48#90371C2211yescharacteristic, complemented
49#90367—21no—
50#90365C2211yescharacteristic
51#90361—21no—
52#90352—21no—
53#90352—21no—
54#90350—21no—
55#90349—21no—
56#90346—21no—
57#90345—21no—
58#90334C2211yescharacteristic, complemented
59#90328—21no—
60#90322—21no—
61#90318C2211yescharacteristic
62#90310C2211yescharacteristic, complemented
63#90310C2211yescharacteristic, complemented
64#90307—21no—
65#90303—21no—
66#90301—21no—
67#90297C2211yescharacteristic
68D7×#121C2211yescharacteristic
69D7×#121C2211yescharacteristic
70#90294C2211yescharacteristic, complemented
71#90292—21no—
72#90271C2211yescharacteristic, complemented
73#90265C2211yescharacteristic
74#90248C2211yescharacteristic, complemented
75#90239C2211yescharacteristic, complemented
76#90239C2211yescharacteristic, complemented
77#90237C2211yescharacteristic
78#90236C2211yescharacteristic
79#90236C2211yescharacteristic
80#90226C2211yescharacteristic, complemented
81#90225C2211yescharacteristic, complemented
82D7×#117C2211yescharacteristic
83C7×#501C2211yescharacteristic, complemented
84C7×#496C2211yescharacteristic, complemented
85C7×#488C2211yescharacteristic, complemented
86C7×#486C2211yescharacteristic, complemented
87C7×#469C2211yescharacteristic, complemented
88C7×#468C2211yescharacteristic, complemented
89C7×#466C2211yescharacteristic
90C7×#465C2211yescharacteristic, complemented
91C7×#442C2211yescharacteristic, complemented
92C7×#440C2211yescharacteristic, complemented
93C4×C7×SD16C2211yescharacteristic, complemented
94C4×C7×D8C2211yescharacteristic, complemented
95C7×#405C2211yescharacteristic, complemented
96#89948C2211yescharacteristic, complemented
97#89943C2211yescharacteristic, complemented
98#89943C2211yescharacteristic, complemented
99#89940C2211yescharacteristic, complemented
100#89936C2211yescharacteristic, complemented
101#89936C2211yescharacteristic, complemented
102#89929C2211yescharacteristic
103#89929C2211yescharacteristic, complemented
104#89926C2211yescharacteristic, complemented
105#89924C2211yescharacteristic, complemented
106#89924C2211yescharacteristic, complemented
107#89923C2211yescharacteristic, complemented
108#89907C2211yescharacteristic, complemented
109#89906C2211yescharacteristic, complemented
110#89894C2211yescharacteristic, complemented
111#89887C2211yescharacteristic
112#89886C2211yescharacteristic, complemented
113#89873C2211yescharacteristic, complemented
114#89861C2211yescharacteristic, complemented
115#89850C2211yescharacteristic, complemented
116#89845C2211yescharacteristic, complemented
117#89843C2211yescharacteristic, complemented
118#89839C2211yescharacteristic, complemented
119#89836C2211yescharacteristic, complemented
120#89831C2211yescharacteristic, complemented
121#89827C2211yescharacteristic, complemented
122#89823C2211yescharacteristic, complemented
123#89821C2211yescharacteristic, complemented
124#89814C2211yescharacteristic, complemented
125#89811C2211yescharacteristic, complemented
126#89811C2211yescharacteristic, complemented
127#89810C2211yescharacteristic
128#89810C2211yescharacteristic
129#89810C2211yescharacteristic, complemented
130C4×#1144C2211yescharacteristic, complemented
131#89798C2211yescharacteristic, complemented
132#89790C2211yescharacteristic, complemented
133#89786C2211yescharacteristic, complemented
134#89786C2211yescharacteristic, complemented
135C4×#1141C2211yescharacteristic, complemented
136C4×#1141C2211yescharacteristic, complemented
137C4×#1141C2211yescharacteristic, complemented
138#89769C2211yescharacteristic, complemented
139#89661C2211yescharacteristic, complemented
140#89661C2211yescharacteristic, complemented
141#89655C2211yescharacteristic
142#89655C2211yescharacteristic, complemented
143#89653C2211yescharacteristic
144D7×#107C2211yescharacteristic
145#89648C2211yescharacteristic, complemented
146#89646C2211yescharacteristic, complemented
147#89641C2211yescharacteristic, complemented
148#89641C2211yescharacteristic, complemented
149#89636C2211yescharacteristic, complemented
150#89636C2211yescharacteristic, complemented
151#89633C2211yescharacteristic
152#89632C2211yescharacteristic
153#89630C2211yescharacteristic, complemented
154#89628C2211yescharacteristic, complemented
155#89585C2211yescharacteristic, complemented
156#89579C2211yescharacteristic, complemented
157#89576C2211yescharacteristic
158#89575C2211yescharacteristic
159#89572C2211yescharacteristic, complemented
160#89567C2211yescharacteristic, complemented
161#89562C2211yescharacteristic, complemented
162#89560C2211yescharacteristic, complemented
163#89550C2211yescharacteristic, complemented
164#89547C2211yescharacteristic
165#89547C2211yescharacteristic
166#89547C2211yescharacteristic, complemented
167#89547C2211yescharacteristic, complemented
168#89547C2211yescharacteristic, complemented
169#89544C2211yescharacteristic
170#89543C2211yescharacteristic
171#89542C2211yescharacteristic
172#89542C2211yescharacteristic
173D7×#102C2211yescharacteristic
174D7×#102C2211yescharacteristic
175#89540C2211yescharacteristic, complemented
176#89537C2211yescharacteristic, complemented
177#89536C2211yescharacteristic, complemented
178#89536C2211yescharacteristic, complemented
179#89532C2211yescharacteristic, complemented
180#89532C2211yescharacteristic, complemented
181#89530C2211yescharacteristic, complemented
182#89528C2211yescharacteristic, complemented
183#89528C2211yescharacteristic, complemented
184#89528C2211yescharacteristic, complemented
185#89528C2211yescharacteristic, complemented
186#89528C2211yescharacteristic, complemented
187#89484C2211yescharacteristic, complemented
188#89483C2211yescharacteristic, complemented
189#89482C2211yescharacteristic, complemented
190#89480C2211yescharacteristic
191#89480C2211yescharacteristic
192D7×#97C2211yescharacteristic, complemented
193D7×#97C2211yescharacteristic, complemented
194#89474C2211yescharacteristic, complemented
195#89469C2211yescharacteristic, complemented
196#89466C2211yescharacteristic, complemented
197C4×D56C2211yescharacteristic, complemented
198C4×#1132C2211yescharacteristic, complemented
199#89461C2211yescharacteristic
200#89461C2211yescharacteristic
201C4×C8×D7C2211yescharacteristic, complemented
202C4×C8×D7C2211yescharacteristic, complemented
203#60707—71nomaximal, Sylow
204C2×#1161—21no—
205C2×#1161C2311yescharacteristic
206C2×#1159—21no—
207C2×#1159C2311yescharacteristic
208C2×D4×D7—21no—
209C2×D4×D7—21no—
210C2×D4×D7C2311yescharacteristic
211C2×D4×D7C2311yescharacteristic
212C2×#1157—21no—
213C2×#1157—21no—
214C22×C4×D7C2311yescharacteristic
215C2×C7×SD16C2311yescharacteristic
216C2×C7×SD16C2311yescharacteristic
217C2×C7×D8C2311yescharacteristic
218C2×C7×D8C2311yescharacteristic
219C2×C7×M16C2311yescharacteristic
220C22×C7×C8C2311yescharacteristic
221C7×C4⋊Q8C2311yescharacteristic
222C7×#127C2311yescharacteristic
223C7×#126—21no—
224C7×#125C2311yescharacteristic
225C7×#124—21no—
226C7×#124C2311yescharacteristic
227C7×#123—21no—
228C7×#123—21no—
229C7×#123—21no—
230C7×C22⋊Q8—21no—
231C7×C22⋊Q8C2311yescharacteristic
232C7×#121—21no—
233C7×#121—21no—
234C7×#121C2311yescharacteristic
235C7×#121C2311yescharacteristic
236C7×#121C2311yescharacteristic
237C4×C7×Q8C2311yescharacteristic
238C4×C7×D4C2311yescharacteristic
239C4×C7×D4C2311yescharacteristic
240C4×C7×D4C2311yescharacteristic
241C7×#117C2311yescharacteristic
242#6510—21no—
243#6510C2311yescharacteristic
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#6501—21no—
259#6501—21no—
260#6501—21no—
261#6501C2311yescharacteristic
262#6501C2311yescharacteristic
263#6501C2311yescharacteristic
264#6500—21no—
265#6500—21no—
266#6500—21no—
267#6499—21no—
268#6499—21no—
269#6499C2311yescharacteristic
270#6498—21no—
271D4×Dic7—21no—
272D4×Dic7—21no—
273D4×Dic7C2311yescharacteristic
274D4×Dic7C2311yescharacteristic
275D4×Dic7C2311yescharacteristic
276C2×#1142C2311yescharacteristic
277C2×#1141C2311yescharacteristic
278C2×#1141C2311yescharacteristic
279C2×#1141C2311yescharacteristic
280C2×#1141C2311yescharacteristic
281C2×#1141C2311yescharacteristic
282#6493C2311yescharacteristic
283#6493C2311yescharacteristic
284#6493C2311yescharacteristic
285C4×C22⋊D7—21no—
286C4×C22⋊D7—21no—
287C4×C22⋊D7—21no—
288C4×C22⋊D7—21no—
289C4×C22⋊D7—21no—
290C4×C22⋊D7—21no—
291C2×(C2×D7)⋊C4—21no—
292C2×(C2×D7)⋊C4—21no—
293#6489—21no—
294#6489C2311yescharacteristic
295#6487C2311yescharacteristic
296C2×Dic7⋊C4—21no—
297C2×#1136C2311yescharacteristic
298C22×C7⋊C8C2311yescharacteristic
299#6479—24no—
300#6477—24no—
301#6474—24no—
302D7×D8—24no—
303D7×M16—24no—
304C2×D56C2311yescharacteristic
305C2×D56C2311yescharacteristic
306C2×#1132C2311yescharacteristic
307C2×#1132C2311yescharacteristic
308C2×#1131C2311yescharacteristic
309C2×#1131C2311yescharacteristic
310C2×C8×D7—24no—
311C2×C8×D7C2311yescharacteristic
312C2×C8×D7C2311yescharacteristic
313C2×C8×D7C2311yescharacteristic
314C2×C8×D7C2311yescharacteristic
315C2×C8×D7C2311yescharacteristic
316C2×C8×D7C2311yescharacteristic
317#6461—21no—
318#6461—21no—
319#6461—21no—
320#6461—21no—
321#6460—21no—
322#6460—21no—
323#6460C2311yescharacteristic
324#6459—21no—
325#6459—21no—
326#6459—21no—
327#6458—21no—
328#6458C2311yescharacteristic
329#6458C2311yescharacteristic
330#6458C2311yescharacteristic
331#6457—21no—
332#6457—21no—
333#6457—21no—
334#6457—21no—
335#6457—21no—
336#6456—21no—
337#6456—21no—
338#6456—21no—
339#6456—21no—
340#6456C2311yescharacteristic
341#6456C2311yescharacteristic
342#6456C2311yescharacteristic
343#6455—21no—
344#6455D411yescharacteristic
345#6455D411yescharacteristic
346#6455C2311yescharacteristic
347#6455C2311yescharacteristic
348D7×C4⋊C4—21no—
349D7×C4⋊C4D411yescharacteristic
350D7×C4⋊C4D411yescharacteristic
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#6447—21no—
374#6447—21no—
375#6446—21no—
376#6446—21no—
377#6446—21no—
378#6446—21no—
379#6446—21no—
380#6446—21no—
381#6446—21no—
382#6445—21no—
383#6445—21no—
384#6445—21no—
385(C22⋊D7)⋊C4—21no—
386(C22⋊D7)⋊C4—21no—
387(C22⋊D7)⋊C4—21no—
388(C22⋊D7)⋊C4—21no—
389(C22⋊D7)⋊C4—21no—
390(C22⋊D7)⋊C4—21no—
391D7×C22⋊C4—21no—
392D7×C22⋊C4—21no—
393D7×C22⋊C4—21no—
394D7×C22⋊C4—21no—
395D7×C22⋊C4D411yescharacteristic
396D7×C22⋊C4D411yescharacteristic
397#6442—21no—
398#6442—21no—
399#6442—21no—
400#6441—21no—
401#6440—21no—
402#6440—21no—
403#6440D411yescharacteristic
404#6440D411yescharacteristic
405#6438C2311yescharacteristic
406#6437C2311yescharacteristic
407C4×D28—21no—
408C4×D28—21no—
409C4×D28C2311yescharacteristic
410C4×D28C2311yescharacteristic
411C4×D28C2311yescharacteristic
412#6435—21no—
413#6435—21no—
414#6435C2311yescharacteristic
415#6435C2311yescharacteristic
416C42×D7C2311yescharacteristic
417C42×D7C2311yescharacteristic
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
435C4×C7×C8C2311yescharacteristic
436C4×C7×C8C2311yescharacteristic
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
481#6377C2311yescharacteristic
482#6377C2311yescharacteristic
483C4×C7⋊C8C2311yescharacteristic
484C4×C7⋊C8C2311yescharacteristic
485#3494—71no—
486#3494—71no—
487#3180—71no—
488#3180—71no—
489#3180—71no—
490#3180—71no—
491#3179—71no—
492#3179—71no—
493#3179—71no—
494#3179D711yescharacteristic, complemented
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
519C2×C7×Q8—21no—
520C2×C7×Q8C2411yescharacteristic
521C2×C7×D4—21no—
522C2×C7×D4—21no—
523C2×C7×D4—21no—
524C2×C7×D4—21no—
525C2×C7×D4—21no—
526C2×C7×D4C2411yescharacteristic
527C2×C7×D4C2411yescharacteristic
528C2×C7×D4C2411yescharacteristic
529C22×C4×C7—21no—
530C22×C4×C7—21no—
531C22×C4×C7—21no—
532C22×C4×C7C2411yescharacteristic
533C2×C22⋊D7—21no—
534C2×C22⋊D7—21no—
535C2×C22⋊D7—21no—
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—
546C22×Dic7—21no—
547C22×Dic7—21no—
548C22×Dic7—21no—
549C22×Dic7—21no—
550C22×Dic7C2×D411yescharacteristic
551#1161—22no—
552#1161—22no—
553#1161—82no—
554#1159—22no—
555#1159—22no—
556#1159—82no—
557D4×D7—22no—
558D4×D7—22no—
559D4×D7—22no—
560D4×D7—22no—
561D4×D7—82no—
562D4×D7—82no—
563#1157—82no—
564#1157—82no—
565C2×D28—21no—
566C2×D28—21no—
567C2×D28—21no—
568C2×D28—21no—
569C2×D28—21no—
570C2×D28—21no—
571C2×D28C2411yescharacteristic
572C2×D28C2411yescharacteristic
573C2×D28C2411yescharacteristic
574C2×C4×D7—22no—
575C2×C4×D7—22no—
576C2×C4×D7—21no—
577C2×C4×D7—21no—
578C2×C4×D7—21no—
579C2×C4×D7—21no—
580C2×C4×D7—21no—
581C2×C4×D7—21no—
582C2×C4×D7—21no—
583C2×C4×D7—21no—
584C2×C4×D7—21no—
585C2×C4×D7C2×D411yescharacteristic
586C2×C4×D7C2×D411yescharacteristic
587C2×C4×D7C2×D411yescharacteristic
588C2×C4×D7C2×D411yescharacteristic
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—
601C7×M16—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⋊C4C2×D411yescharacteristic
613C7×C4⋊C4C2×D411yescharacteristic
614C7×C4⋊C4C2411yescharacteristic
615C7×C4⋊C4C2411yescharacteristic
616C7×C4⋊C4C2411yescharacteristic
617C7×C4⋊C4C2411yescharacteristic
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—
625C7×C22⋊C4—21no—
626C7×C22⋊C4—21no—
627C7×C22⋊C4C2×D411yescharacteristic
628C7×C22⋊C4C2×D411yescharacteristic
629C42×C7—21no—
630C42×C7C2411yescharacteristic
631C42×C7C2411yescharacteristic
632C22⋊Dic7—21no—
633C22⋊Dic7—21no—
634C22⋊Dic7—21no—
635C22⋊Dic7—21no—
636C22⋊Dic7—21no—
637C22⋊Dic7—21no—
638C22⋊Dic7—21no—
639C22⋊Dic7—21no—
640C22⋊Dic7—21no—
641C22⋊Dic7C2×D411yescharacteristic
642C22⋊Dic7C2×D411yescharacteristic
643#1144—22no—
644#1143—22no—
645#1142—22no—
646#1141—22no—
647#1141—22no—
648#1141—22no—
649#1141—22no—
650#1141—22no—
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)⋊C4—21no—
668(C2×D7)⋊C4—21no—
669(C2×D7)⋊C4—21no—
670(C2×D7)⋊C4—21no—
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⋊Dic7C2×D411yescharacteristic
681C4⋊Dic7C2×D411yescharacteristic
682C4⋊Dic7C2411yescharacteristic
683C4⋊Dic7C2411yescharacteristic
684C4⋊Dic7C2411yescharacteristic
685C4⋊Dic7C2411yescharacteristic
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⋊C4—21no—
697Dic7⋊C4—21no—
698Dic7⋊C4C2×D411yescharacteristic
699Dic7⋊C4C2×D411yescharacteristic
700Dic7⋊C4C2×D411yescharacteristic
701Dic7⋊C4C2×D411yescharacteristic
702C4×Dic7—21no—
703C4×Dic7—21no—
704C4×Dic7—21no—
705C4×Dic7—21no—
706C4×Dic7—21no—
707C4×Dic7C2×D411yescharacteristic
708C4×Dic7C2×D411yescharacteristic
709C4×Dic7C2×D411yescharacteristic
710C4×Dic7C2×D411yescharacteristic
711C4×Dic7C2411yescharacteristic
712C4×Dic7C2411yescharacteristic
713#1136—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#4114yescomplemented
725C8×D7—22no—
726C8×D7—22no—
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#542C2×D711yescharacteristic, complemented
759#540—71no—
760#540—71no—
761#540—71no—
762#540C2×D711yescharacteristic, complemented
763#535—71no—
764#535—71no—
765#532—71no—
766#532—71no—
767#532—71no—
768#532—71no—
769#529—71no—
770#529—71no—
771#529—71no—
772#529—71no—
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#490—71no—
802#489—71no—
803#489—71no—
804#489—71no—
805#489—71no—
806#488—71no—
807#488—71no—
808#488—71no—
809#488C2×D711yescharacteristic, complemented
810#486—71no—
811#486—71no—
812#486—71no—
813#486C2×D711yescharacteristic, complemented
814#469—71no—
815#469—71no—
816#469—71no—
817#469C2×D711yescharacteristic, complemented
818#468—71no—
819#468—71no—
820#468—71no—
821#468C2×D711yescharacteristic, complemented
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#466—71no—
837#466C2×D711yescharacteristic
838#465—71no—
839#465—71no—
840#465—71no—
841#465—71no—
842#465—71no—
843#465—71no—
844#465—71no—
845#465C2×D711yescharacteristic, complemented
846#442—71no—
847#442—71no—
848#442—71no—
849#442—71no—
850#442—71no—
851#442—71no—
852#442—71no—
853#442C2×D711yescharacteristic, complemented
854#440—71no—
855#440—71no—
856#440—71no—
857#440—71no—
858#440—71no—
859#440—71no—
860#440—71no—
861#440C2×D711yescharacteristic, complemented
862C4×Q16—71no—
863C4×Q16—71no—
864C4×SD16—71no—
865C4×SD16—71no—
866C4×SD16—71no—
867C4×SD16C2×D711yescharacteristic, complemented
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×D8C2×D711yescharacteristic, complemented
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#405C2×D711yescharacteristic, complemented
898C2×#97—71no—
899C2×#97—71no—
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—81no—
930C7×D4—81no—
931C7×D4—81no—
932C7×D4—81no—
933C7×D4—81no—
934C2×C4×C7—21no—
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—81no—
942C2×C4×C7—81no—
943C2×C4×C7—81no—
944C2×C4×C7C22×D411yescharacteristic
945C2×C4×C7C22×D411yescharacteristic
946C2×C4×C7C22×D411yescharacteristic
947C2×C4×C7C22×D411yescharacteristic
948C2×C4×C7C22×D411yescharacteristic
949C2×C4×C7C2511yescharacteristic
950C22⋊D7—42no—
951C22⋊D7—42no—
952C22⋊D7—42no—
953C22⋊D7—42no—
954C22⋊D7—42no—
955C22⋊D7—42no—
956C22⋊D7—81no—
957C22⋊D7—81no—
958C22⋊D7—81no—
959C22⋊D7—81no—
960C22⋊D7—81no—
961C22⋊D7—81no—
962C22⋊D7—81no—
963C2×Dic7—22no—
964C2×Dic7—21no—
965C2×Dic7—21no—
966C2×Dic7—21no—
967C2×Dic7—21no—
968C2×Dic7—21no—
969C2×Dic7—42no—
970C2×Dic7—81no—
971C2×Dic7—81no—
972C2×Dic7—81no—
973C2×Dic7C22×D411yescharacteristic
974C2×Dic7C22×D411yescharacteristic
975C2×Dic7C22×D411yescharacteristic
976C2×Dic7C22×D411yescharacteristic
977C2×Dic7C22×D411yescharacteristic
978C2×Dic7C22×D411yescharacteristic
979D28—21no—
980D28—21no—
981D28—21no—
982D28—21no—
983D28—21no—
984D28—21no—
985D28—42no—
986D28—42no—
987D28—42no—
988D28—42no—
989D28—81no—
990D28—81no—
991C4×D7—22no—
992C4×D7—22no—
993C4×D7—22no—
994C4×D7—21no—
995C4×D7—21no—
996C4×D7—22no—
997C4×D7—41no—
998C4×D7—41no—
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—71no—
1024C2×#41—71no—
1025C2×#41—141no—
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—144no—
1058C2×M16C22×D711yescharacteristic
1059C22×C8—71no—
1060C22×C8—71no—
1061C22×C8—71no—
1062C22×C8—71no—
1063C22×C8—71no—
1064C22×C8—71no—
1065C22×C8—71no—
1066C22×C8—144no—
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—21no—
1106#123—21no—
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—21no—
1123C22⋊Q8—71no—
1124C22⋊Q8—71no—
1125C22⋊Q8—71no—
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—21no—
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—71no—
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—71no—
1177C4×D4—71no—
1178C4×D4—71no—
1179C4×D4—71no—
1180C4×D4—71no—
1181C4×D4—71no—
1182C4×D4—71no—
1183C4×D4—71no—
1184C4×D4—71no—
1185C4×D4—141no—
1186C4×D4—141no—
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—71no—
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—141no—
1218#117—141no—
1219#117—141no—
1220#117—141no—
1221#117—141no—
1222#117—141no—
1223#117C22×D711yescharacteristic
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×C42—71no—
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#97—71no—
1293#97—71no—
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×C8C22×D711yescharacteristic
1303C4×C8C22×D711yescharacteristic
1304C22×C7—21no—
1305C22×C7—21no—
1306C22×C7—21no—
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—41no—
1316C22×C7C23×D411yescharacteristic
1317C2×D7—21no—
1318C2×D7—21no—
1319C2×D7—21no—
1320C2×D7—21no—
1321C2×D7—44no—
1322C2×D7—41no—
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—162no—
1332C2×D7—162no—
1333C2×D7#53212yes—
1334C2×D7#57612yes—
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—142no—
1362#41—142no—
1363#41—142no—
1364#41—142no—
1365#41—562no—
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—71no—
1422C22×C4—71no—
1423C22×C4—142no—
1424C22×C4—142no—
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×C4—141no—
1437C22×C4—141no—
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—22no—
1456M16—74no—
1457M16—142no—
1458M16—142no—
1459C2×C8—22no—
1460C2×C8—71no—
1461C2×C8—71no—
1462C2×C8—74no—
1463C2×C8—71no—
1464C2×C8—71no—
1465C2×C8—142no—
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—141no—
1491C4⋊C4—141no—
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⋊C4D4×D711yescharacteristic
1508C4⋊C4D4×D711yescharacteristic
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—141no—
1529C22⋊C4—141no—
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⋊C4D4×D711yescharacteristic
1558C22⋊C4D4×D711yescharacteristic
1559C42—21no—
1560C42—71no—
1561C42—71no—
1562C42—71no—
1563C42—71no—
1564C42—71no—
1565C42—71no—
1566C42—141no—
1567C42—141no—
1568C42—141no—
1569C42—141no—
1570C42—141no—
1571C42C23×D711yescharacteristic
1572C42C23×D711yescharacteristic
1573C2×C7—41no—
1574C2×C7—81no—
1575C2×C7—81no—
1576C2×C7—81no—
1577C2×C7C2×#53211yescharacteristic
1578C2×C7C2×#57611yescharacteristic
1579C2×C7#358411yescharacteristic
1580D7—22no—
1581D7—22no—
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—81no—
1618D4—81no—
1619D4—81no—
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—282no—
1636D4—282no—
1637D4—282no—
1638D4—561no—
1639D4—561no—
1640D4—561no—
1641D4—561no—
1642D4—561no—
1643D4—561no—
1644D4—561no—
1645D4—561no—
1646D4—561no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—71no—
1655C2×C4—72no—
1656C2×C4—72no—
1657C2×C4—71no—
1658C2×C4—71no—
1659C2×C4—71no—
1660C2×C4—71no—
1661C2×C4—71no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—142no—
1666C2×C4—142no—
1667C2×C4—142no—
1668C2×C4—142no—
1669C2×C4—142no—
1670C2×C4—141no—
1671C2×C4—141no—
1672C2×C4—141no—
1673C2×C4—141no—
1674C2×C4—141no—
1675C2×C4—141no—
1676C2×C4—141no—
1677C2×C4—281no—
1678C2×C4—281no—
1679C2×C4—282no—
1680C2×C4—282no—
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—21no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—72no—
1720C22—72no—
1721C22—141no—
1722C22—141no—
1723C22—141no—
1724C22—141no—
1725C22—284no—
1726C22—281no—
1727C22—281no—
1728C22—281no—
1729C22—281no—
1730C22—281no—
1731C22—281no—
1732C22—281no—
1733C22—281no—
1734C22—281no—
1735C22—1122no—
1736C22—1122no—
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—41no—
1762C2—81no—
1763C2—81no—
1764C2—81no—
1765C2—142no—
1766C2—142no—
1767C2—561no—
1768C2—561no—
1769C2—561no—
1770C2D7×#53211yescharacteristic
1771C2D7×#57611yescharacteristic
1772C2#1174427411yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3179C2
socleC22×C7C23×D4
hypercenter#3179D7
hypocenterC7#60707
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #11743618C2semidirect
2. #11743553C2semidirect
3. C7×#3179C2semidirect
4. #11740902C2semidirect
5. #11740877C2semidirect
6. #11739420C2semidirect
7. #11739407C2semidirect
8. #11739293C2semidirect
9. #11739283C2semidirect
10. #11739083C2semidirect
11. #11739073C2semidirect
12. #11739008C2semidirect
13. #11739002C2semidirect
14. #11738309C2semidirect
15. #11738295C2semidirect
16. #11738250C2semidirect
17. #11738232C2semidirect
18. D7×#466C2semidirect
19. #11738145C2semidirect
20. #11738101C2semidirect
21. #11738082C2semidirect
22. #11737321C2semidirect
23. #11737312C2semidirect
24. #11737235C2semidirect
25. #11737223C2semidirect
26. #11737108C2semidirect
27. #11737092C2semidirect
28. #11737043C2semidirect
29. #11737032C2semidirect
30. #11736023C2semidirect
31. D7×#405C2semidirect
32. C7×#542C22semidirect
33. C7×#540C22semidirect
41. #90416C22semidirect
42. #90407C22semidirect
46. #90382C22semidirect
48. #90371C22semidirect
58. #90334C22semidirect
62. #90310C22semidirect
63. #90310C22semidirect
70. #90294C22semidirect
72. #90271C22semidirect
74. #90248C22semidirect
75. #90239C22semidirect
76. #90239C22semidirect
80. #90226C22semidirect
81. #90225C22semidirect
83. C7×#501C22semidirect
84. C7×#496C22semidirect
85. C7×#488C22semidirect
86. C7×#486C22semidirect
87. C7×#469C22semidirect
88. C7×#468C22semidirect
90. C7×#465C22semidirect
91. C7×#442C22semidirect
92. C7×#440C22semidirect
93. C4×C7×SD16C22semidirect
94. C4×C7×D8C22semidirect
95. C7×#405C22semidirect
96. #89948C22semidirect
97. #89943C22semidirect
98. #89943C22semidirect
99. #89940C22semidirect
100. #89936C22semidirect
101. #89936C22semidirect
103. #89929C22semidirect
104. #89926C22semidirect
105. #89924C22semidirect
106. #89924C22semidirect
107. #89923C22semidirect
108. #89907C22semidirect
109. #89906C22semidirect
110. #89894C22semidirect
112. #89886C22semidirect
113. #89873C22semidirect
114. #89861C22semidirect
115. #89850C22semidirect
116. #89845C22semidirect
117. #89843C22semidirect
118. #89839C22semidirect
119. #89836C22semidirect
120. #89831C22semidirect
121. #89827C22semidirect
122. #89823C22semidirect
123. #89821C22semidirect
124. #89814C22semidirect
125. #89811C22semidirect
126. #89811C22semidirect
129. #89810C22semidirect
130. C4×#1144C22semidirect
131. #89798C22semidirect
132. #89790C22semidirect
133. #89786C22semidirect
134. #89786C22semidirect
135. C4×#1141C22semidirect
136. C4×#1141C22semidirect
137. C4×#1141C22semidirect
138. #89769C22semidirect
139. #89661C22semidirect
140. #89661C22semidirect
142. #89655C22semidirect
145. #89648C22semidirect
146. #89646C22semidirect
147. #89641C22semidirect
148. #89641C22semidirect
149. #89636C22semidirect
150. #89636C22semidirect
153. #89630C22semidirect
154. #89628C22semidirect
155. #89585C22semidirect
156. #89579C22semidirect
159. #89572C22semidirect
160. #89567C22semidirect
161. #89562C22semidirect
162. #89560C22semidirect
163. #89550C22semidirect
166. #89547C22semidirect
167. #89547C22semidirect
168. #89547C22semidirect
175. #89540C22semidirect
176. #89537C22semidirect
177. #89536C22semidirect
178. #89536C22semidirect
179. #89532C22semidirect
180. #89532C22semidirect
181. #89530C22semidirect
182. #89528C22semidirect
183. #89528C22semidirect
184. #89528C22semidirect
185. #89528C22semidirect
186. #89528C22semidirect
187. #89484C22semidirect
188. #89483C22semidirect
189. #89482C22semidirect
192. D7×#97C22semidirect
193. D7×#97C22semidirect
194. #89474C22semidirect
195. #89469C22semidirect
196. #89466C22semidirect
197. C4×D56C22semidirect
198. C4×#1132C22semidirect
201. C4×C8×D7C22semidirect
202. C4×C8×D7C22semidirect
494. #3179D7semidirect
724. #1131#41semidirect
730. C8×D7#41semidirect
758. #542C2×D7semidirect
762. #540C2×D7semidirect
785. #501C2×D7semidirect
793. #496C2×D7semidirect
809. #488C2×D7semidirect
813. #486C2×D7semidirect
817. #469C2×D7semidirect
821. #468C2×D7semidirect
845. #465C2×D7semidirect
853. #442C2×D7semidirect
861. #440C2×D7semidirect
867. C4×SD16C2×D7semidirect
877. C4×D8C2×D7semidirect
897. #405C2×D7semidirect
1706. C7#60707semidirect

Maximal subgroups

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

subgroupindex
#117436182
#117435532
C7×#31792
#117409022
#117408772
#117394202
#117394072
#117392932
#117392832
#117390832
#117390732
#117390082
#117390022
#117383092
#117382952
#117382502
#117382322
D7×#4662
#117381452
#117381012
#117380822
#117373212
#117373122
#117372352
#117372232
#117371082
#117370922
#117370432
#117370322
#117360232
D7×#4052
#607077