Finite Group Databasebeta

← #14238397

Subgroups — #14238397

Order 1792.

1940 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11742964C211yesmaximal, characteristic, complemented
2#11742939C211yesmaximal, characteristic, complemented
3C7×#2946C211yesmaximal, characteristic, complemented
4#11741404C211yesmaximal, characteristic, complemented
5#11741404C211yesmaximal, characteristic, complemented
6#11740013C211yesmaximal, characteristic, complemented
7#11739987C211yesmaximal, characteristic, complemented
8#11737327C211yesmaximal, characteristic, complemented
9#11737322C211yesmaximal, characteristic, complemented
10#11737305C211yesmaximal, characteristic, complemented
11#11737296C211yesmaximal, characteristic, complemented
12#11737244C211yesmaximal, characteristic, complemented
13#11737220C211yesmaximal, characteristic, complemented
14#11737218C211yesmaximal, characteristic, complemented
15#11737197C211yesmaximal, characteristic, complemented
16#11737142C211yesmaximal, characteristic, complemented
17#11737140C211yesmaximal, characteristic, complemented
18#11737115C211yesmaximal, characteristic, complemented
19#11737078C211yesmaximal, characteristic, complemented
20#11737063C211yesmaximal, characteristic, complemented
21#11737041C211yesmaximal, characteristic, complemented
22#11737035C211yesmaximal, characteristic, complemented
23#11737023C211yesmaximal, characteristic, complemented
24#11736681C211yesmaximal, characteristic, complemented
25#11736680C211yesmaximal, characteristic, complemented
26#11736299C211yesmaximal, characteristic, complemented
27#11736297C211yesmaximal, characteristic, complemented
28#11736209C211yesmaximal, characteristic, complemented
29#11736202C211yesmaximal, characteristic, complemented
30#11736014C211yesmaximal, characteristic, complemented
31#11736004C211yesmaximal, characteristic, complemented
32C2×C7×AGL(1,ℤ/8)C2211yescharacteristic
33C7×#520C2211yescharacteristic, complemented
34C7×#518C2211yescharacteristic
35#90525C2211yescharacteristic, complemented
36#90525C2211yescharacteristic, complemented
37D4×C22⋊D7C2211yescharacteristic
38D4×C22⋊D7C2211yescharacteristic
39C2×#6477C2211yescharacteristic
40C2×#6477C2211yescharacteristic
41#90268C2211yescharacteristic, complemented
42#90265C2211yescharacteristic, complemented
43C4×#1161C2211yescharacteristic, complemented
44#90260C2211yescharacteristic, complemented
45#90253—21no—
46#90253C2211yescharacteristic
47#90253C2211yescharacteristic, complemented
48#90251—21no—
49#90249—21no—
50#90249C2211yescharacteristic
51#90249C2211yescharacteristic, complemented
52#90244—21no—
53#90244C2211yescharacteristic
54#90244C2211yescharacteristic, complemented
55#90241—21no—
56D4×D28C2211yescharacteristic
57#90239—21no—
58#90239C2211yescharacteristic
59#90239C2211yescharacteristic, complemented
60#90238—21no—
61#90236C2211yescharacteristic
62C4×D4×D7C2211yescharacteristic
63#90231—21no—
64#90230C2211yescharacteristic
65#90226—21no—
66#90226C2211yescharacteristic
67#90226C2211yescharacteristic, complemented
68#90223C2211yescharacteristic
69#90221C2211yescharacteristic
70#90219—21no—
71#90219C2211yescharacteristic
72#90205—21no—
73#90205C2211yescharacteristic, complemented
74#90198—21no—
75#90198C2211yescharacteristic, complemented
76#90185—21no—
77#90181—21no—
78#90181—21no—
79C2×#6447—21no—
80C7×#442C2211yescharacteristic
81C7×#442C2211yescharacteristic, complemented
82C7×#440C2211yescharacteristic
83C7×#440C2211yescharacteristic, complemented
84C4×C7×SD16C2211yescharacteristic
85C4×C7×SD16C2211yescharacteristic, complemented
86C4×C7×D8C2211yescharacteristic
87C4×C7×D8C2211yescharacteristic, complemented
88C7×#428C2211yescharacteristic, complemented
89C7×#416C2211yescharacteristic, complemented
90C2×C7×#102C2211yescharacteristic
91C7×#405C2211yescharacteristic, complemented
92#90010C2211yescharacteristic, complemented
93#90010C2211yescharacteristic, complemented
94#89989C2211yescharacteristic
95#89989C2211yescharacteristic
96#89944C2211yescharacteristic, complemented
97#89944C2211yescharacteristic, complemented
98#89935C2211yescharacteristic, complemented
99#89935C2211yescharacteristic, complemented
100SD16×Dic7C2211yescharacteristic
101SD16×Dic7C2211yescharacteristic
102#89931C2211yescharacteristic, complemented
103#89931C2211yescharacteristic, complemented
104#89928C2211yescharacteristic
105#89928C2211yescharacteristic
106#89923C2211yescharacteristic, complemented
107#89923C2211yescharacteristic, complemented
108#89922C2211yescharacteristic
109#89922C2211yescharacteristic
110#89907C2211yescharacteristic, complemented
111#89907C2211yescharacteristic, complemented
112#89900C2211yescharacteristic, complemented
113#89900C2211yescharacteristic, complemented
114#89887C2211yescharacteristic, complemented
115#89887C2211yescharacteristic, complemented
116#89883C2211yescharacteristic, complemented
117C8×C22⋊D7C2211yescharacteristic, complemented
118#89799C2211yescharacteristic, complemented
119#89798C2211yescharacteristic, complemented
120C4×#1143C2211yescharacteristic, complemented
121#89794C2211yescharacteristic, complemented
122#89787C2211yescharacteristic
123#89787C2211yescharacteristic, complemented
124#89787C2211yescharacteristic, complemented
125#89786C2211yescharacteristic
126#89786C2211yescharacteristic, complemented
127#89786C2211yescharacteristic, complemented
128C4×#1141C2211yescharacteristic
129C4×#1141C2211yescharacteristic, complemented
130C4×#1141C2211yescharacteristic, complemented
131#89781C2211yescharacteristic
132#89781C2211yescharacteristic, complemented
133#89781C2211yescharacteristic, complemented
134#89775C2211yescharacteristic, complemented
135#89775C2211yescharacteristic, complemented
136#89772C2211yescharacteristic, complemented
137#89740C2211yescharacteristic, complemented
138#89739C2211yescharacteristic, complemented
139#89663C2211yescharacteristic, complemented
140#89662C2211yescharacteristic, complemented
141#89657C2211yescharacteristic, complemented
142#89654C2211yescharacteristic, complemented
143#89653C2211yescharacteristic, complemented
144#89653C2211yescharacteristic, complemented
145#89644C2211yescharacteristic, complemented
146#89644C2211yescharacteristic, complemented
147#89643C2211yescharacteristic, complemented
148#89642C2211yescharacteristic, complemented
149#89638C2211yescharacteristic, complemented
150#89637C2211yescharacteristic, complemented
151#89637C2211yescharacteristic, complemented
152#89635C2211yescharacteristic, complemented
153#89630C2211yescharacteristic, complemented
154#89627C2211yescharacteristic, complemented
155#89589C2211yescharacteristic, complemented
156#89583C2211yescharacteristic, complemented
157#89583C2211yescharacteristic, complemented
158#89576C2211yescharacteristic, complemented
159#89575C2211yescharacteristic, complemented
160#89568C2211yescharacteristic, complemented
161#89566C2211yescharacteristic, complemented
162#89560C2211yescharacteristic, complemented
163#89558C2211yescharacteristic, complemented
164#89558C2211yescharacteristic, complemented
165#89558C2211yescharacteristic, complemented
166#89558C2211yescharacteristic, complemented
167#89557C2211yescharacteristic
168#89556C2211yescharacteristic, complemented
169#89556C2211yescharacteristic, complemented
170#89554C2211yescharacteristic, complemented
171#89554C2211yescharacteristic, complemented
172#89547C2211yescharacteristic, complemented
173#89547C2211yescharacteristic, complemented
174#89546C2211yescharacteristic, complemented
175#89546C2211yescharacteristic, complemented
176#89545C2211yescharacteristic
177#89545C2211yescharacteristic
178#89542C2211yescharacteristic
179D7×#102C2211yescharacteristic
180#89538C2211yescharacteristic
181#89536C2211yescharacteristic, complemented
182#89536C2211yescharacteristic, complemented
183#89532C2211yescharacteristic, complemented
184#89532C2211yescharacteristic, complemented
185#89531C2211yescharacteristic
186#89528C2211yescharacteristic
187#89485C2211yescharacteristic, complemented
188#89485C2211yescharacteristic, complemented
189#89483C2211yescharacteristic, complemented
190#89483C2211yescharacteristic, complemented
191#89480C2211yescharacteristic, complemented
192#89479C2211yescharacteristic, complemented
193#89478C2211yescharacteristic, complemented
194#89473C2211yescharacteristic, complemented
195#89467C2211yescharacteristic, complemented
196C4×D56C2211yescharacteristic, complemented
197C4×D56C2211yescharacteristic, complemented
198#89462C2211yescharacteristic, complemented
199#89460C2211yescharacteristic, complemented
200#89457C2211yescharacteristic, complemented
201#89455C2211yescharacteristic, complemented
202C8×Dic14C2211yescharacteristic, complemented
203#61555—71nomaximal, Sylow
204C2×C7×#41C2311yescharacteristic
205C22×C7×D4C2311yescharacteristic
206C22×C22⋊D7—21no—
207C22×C22⋊D7—21no—
208C2×#1161C2311yescharacteristic
209C2×#1161C2311yescharacteristic
210C2×D4×D7C2311yescharacteristic
211C2×D4×D7C2311yescharacteristic
212C2×#1157—21no—
213C2×#1157—21no—
214C2×#1157—21no—
215C2×#1157—21no—
216C2×#1157—21no—
217C22×D28—21no—
218C22×C4×D7—21no—
219C7×AGL(1,ℤ/8)—24no—
220C2×C7×SD16C2311yescharacteristic
221C2×C7×SD16C2311yescharacteristic
222C2×C7×D8C2311yescharacteristic
223C2×C7×D8C2311yescharacteristic
224C2×C7×M16C2311yescharacteristic
225C22×C7×C8C2311yescharacteristic
226C4×C7×Q8C2311yescharacteristic
227C4×C7×Q8C2311yescharacteristic
228C4×C7×D4—21no—
229C4×C7×D4—21no—
230C4×C7×D4—21no—
231C4×C7×D4—21no—
232C4×C7×D4C2311yescharacteristic
233C4×C7×D4C2311yescharacteristic
234C4×C7×D4C2311yescharacteristic
235C4×C7×D4C2311yescharacteristic
236C4×C7×D4C2311yescharacteristic
237C4×C7×D4C2311yescharacteristic
238C7×#117—21no—
239C7×#117C2311yescharacteristic
240C7×#117C2311yescharacteristic
241C2×C7×C4⋊C4—21no—
242C2×C7×C4⋊C4C2311yescharacteristic
243C2×C7×C22⋊C4—21no—
244C2×C7×C22⋊C4—21no—
245#6516—21no—
246#6516—21no—
247Q8×Dic7C2311yescharacteristic
248Q8×Dic7C2311yescharacteristic
249C2×#1143C2311yescharacteristic
250C2×#1143C2311yescharacteristic
251#6503—21no—
252#6503—21no—
253#6503C2311yescharacteristic
254#6503C2311yescharacteristic
255#6503C2311yescharacteristic
256#6503C2311yescharacteristic
257#6502—21no—
258#6502—21no—
259#6501—21no—
260#6501—21no—
261#6501C2311yescharacteristic
262#6501C2311yescharacteristic
263#6501C2311yescharacteristic
264#6501C2311yescharacteristic
265#6500—21no—
266#6500—21no—
267D4×Dic7C2311yescharacteristic
268D4×Dic7C2311yescharacteristic
269C2×#1141C2311yescharacteristic
270C2×#1141C2311yescharacteristic
271C2×#1141C2311yescharacteristic
272C2×#1141C2311yescharacteristic
273C2×#1141C2311yescharacteristic
274C2×#1141C2311yescharacteristic
275#6493—21no—
276#6493—21no—
277#6493—21no—
278#6493—21no—
279#6493—21no—
280#6493—21no—
281#6493—21no—
282#6493—21no—
283#6493C2311yescharacteristic
284#6493C2311yescharacteristic
285#6493C2311yescharacteristic
286#6493C2311yescharacteristic
287#6492—21no—
288#6492—21no—
289#6492—21no—
290#6492—21no—
291#6492—21no—
292C4×C22⋊D7—21no—
293C4×C22⋊D7—21no—
294C4×C22⋊D7—21no—
295C4×C22⋊D7—21no—
296C4×C22⋊D7—21no—
297C4×C22⋊D7—21no—
298C4×C22⋊D7—21no—
299C4×C22⋊D7—21no—
300C4×C22⋊D7—21no—
301C4×C22⋊D7C2311yescharacteristic
302C4×C22⋊D7C2311yescharacteristic
303C2×(C2×D7)⋊C4—21no—
304#6487—21no—
305C2×Dic7⋊C4—21no—
306#6477—24no—
307#6477—24no—
308C2×D56C2311yescharacteristic
309C2×D56C2311yescharacteristic
310C2×D56C2311yescharacteristic
311C2×D56C2311yescharacteristic
312C2×#1131C2311yescharacteristic
313C2×#1131C2311yescharacteristic
314C2×#1131C2311yescharacteristic
315C2×C8×D7C2311yescharacteristic
316#6461—21no—
317#6461D411yescharacteristic
318#6459—21no—
319#6459D411yescharacteristic
320#6458—21no—
321#6458—21no—
322#6458C2311yescharacteristic
323#6458C2311yescharacteristic
324#6458C2311yescharacteristic
325#6458C2311yescharacteristic
326#6457—21no—
327#6457—21no—
328#6457—21no—
329#6457—21no—
330#6457—21no—
331#6457—21no—
332#6457D411yescharacteristic
333#6456—21no—
334#6456—21no—
335#6456C2311yescharacteristic
336#6456C2311yescharacteristic
337#6456C2311yescharacteristic
338#6456C2311yescharacteristic
339#6455—21no—
340#6455C2311yescharacteristic
341#6455C2311yescharacteristic
342D7×C4⋊C4—21no—
343D7×C4⋊C4C2311yescharacteristic
344D7×C4⋊C4C2311yescharacteristic
345#6453—21no—
346#6453C2311yescharacteristic
347#6453C2311yescharacteristic
348#6452D411yescharacteristic
349#6451—21no—
350#6451C2311yescharacteristic
351#6451C2311yescharacteristic
352#6448—21no—
353#6448—21no—
354#6448—21no—
355#6448D411yescharacteristic
356#6447—21no—
357#6447—21no—
358#6447—21no—
359#6447—21no—
360#6447—21no—
361#6447—21no—
362#6447—21no—
363#6447—21no—
364#6447—21no—
365#6447—21no—
366#6447—21no—
367#6447—21no—
368#6447—21no—
369#6447—21no—
370#6447—21no—
371#6447—21no—
372#6447D411yescharacteristic
373#6446—21no—
374#6446—21no—
375#6446—21no—
376#6446D411yescharacteristic
377#6445—21no—
378#6445—21no—
379(C22⋊D7)⋊C4—21no—
380(C22⋊D7)⋊C4—21no—
381D7×C22⋊C4—21no—
382D7×C22⋊C4—21no—
383#6442—21no—
384#6442—21no—
385#6442D411yescharacteristic
386#6441—21no—
387#6441—21no—
388#6439—21no—
389#6438—21no—
390#6437—21no—
391#6437C2311yescharacteristic
392#6437C2311yescharacteristic
393C4×D28—21no—
394C4×D28—21no—
395C4×D28—21no—
396C4×D28—21no—
397C4×D28C2311yescharacteristic
398C4×D28C2311yescharacteristic
399C4×D28C2311yescharacteristic
400C4×D28C2311yescharacteristic
401C4×D28C2311yescharacteristic
402#6435—21no—
403#6435—21no—
404#6435C2311yescharacteristic
405C42×D7—21no—
406C42×D7C2311yescharacteristic
407#6433—21no—
408#6433C2311yescharacteristic
409#6433C2311yescharacteristic
410C4×Dic14—21no—
411C4×Dic14C2311yescharacteristic
412C7×#107C2311yescharacteristic
413C7×#107C2311yescharacteristic
414C7×#106C2311yescharacteristic
415C7×#106C2311yescharacteristic
416C7×#103C2311yescharacteristic
417C7×#103C2311yescharacteristic
418C7×#102C2311yescharacteristic
419C7×#102C2311yescharacteristic
420C7×#102C2311yescharacteristic
421C7×#102C2311yescharacteristic
422C7×#102C2311yescharacteristic
423C7×#102C2311yescharacteristic
424C7×#97C2311yescharacteristic
425C7×#97C2311yescharacteristic
426C4×C7×C8C2311yescharacteristic
427C4×C7×C8C2311yescharacteristic
428#6409C2311yescharacteristic
429#6409C2311yescharacteristic
430#6406C2311yescharacteristic
431#6406C2311yescharacteristic
432#6406C2311yescharacteristic
433#6406C2311yescharacteristic
434#6406C2311yescharacteristic
435#6406C2311yescharacteristic
436C22⋊(C7⋊C8)C2311yescharacteristic
437C22⋊(C7⋊C8)C2311yescharacteristic
438#6395C2311yescharacteristic
439#6395C2311yescharacteristic
440#6395C2311yescharacteristic
441#6395C2311yescharacteristic
442#6395C2311yescharacteristic
443#6395C2311yescharacteristic
444#6395C2311yescharacteristic
445#6395C2311yescharacteristic
446(C2×D7)⋊C8C2311yescharacteristic
447(C2×D7)⋊C8C2311yescharacteristic
448(C2×D7)⋊C8C2311yescharacteristic
449(C2×D7)⋊C8C2311yescharacteristic
450#6392C2311yescharacteristic
451#6392C2311yescharacteristic
452#6391C2311yescharacteristic
453#6391C2311yescharacteristic
454#6389C2311yescharacteristic
455Dic7⋊C8C2311yescharacteristic
456Dic7⋊C8C2311yescharacteristic
457Dic7⋊C8C2311yescharacteristic
458Dic7⋊C8C2311yescharacteristic
459C8×Dic7C2311yescharacteristic
460C8×Dic7C2311yescharacteristic
461C8×Dic7C2311yescharacteristic
462#6383C2311yescharacteristic
463#6383C2311yescharacteristic
464#6383C2311yescharacteristic
465#6383C2311yescharacteristic
466#6383C2311yescharacteristic
467#6383C2311yescharacteristic
468#6383C2311yescharacteristic
469#6383C2311yescharacteristic
470#6382C2311yescharacteristic
471#6382C2311yescharacteristic
472#6382C2311yescharacteristic
473#6382C2311yescharacteristic
474#6381C2311yescharacteristic
475#6381C2311yescharacteristic
476#6381C2311yescharacteristic
477#6381C2311yescharacteristic
478C4⋊(C7⋊C8)C2311yescharacteristic
479C4⋊(C7⋊C8)C2311yescharacteristic
480#6377C2311yescharacteristic
481C4×C7⋊C8C2311yescharacteristic
482#3519—71no—
483#3517—71no—
484#3391—71no—
485#3381—71no—
486#3368—71no—
487#3366—71no—
488#3355—71no—
489#3355—71no—
490#3354—71no—
491#3318—71no—
492#3318—71no—
493#3309—71no—
494#3309—71no—
495#3305—71no—
496#3294—71no—
497#3274—71no—
498#3274—71no—
499#3274—71no—
500#3184—71no—
501#3176—71no—
502#3176—71no—
503#3122—71no—
504#3122—71no—
505#3119—71no—
506#3119—71no—
507#3106—71no—
508#3100—71no—
509#2969—71no—
510#2946—71no—
511#2946D711yescharacteristic, complemented
512C4×AGL(1,ℤ/8)—71no—
513C24×C7—21no—
514C23×D7—21no—
515C23×D7—21no—
516C7×#41—22no—
517C7×#41—41no—
518C2×C7×Q8C2411yescharacteristic
519C2×C7×D4—22no—
520C2×C7×D4—21no—
521C2×C7×D4—21no—
522C2×C7×D4—41no—
523C2×C7×D4C2411yescharacteristic
524C2×C7×D4C2411yescharacteristic
525C2×C7×D4C2411yescharacteristic
526C22×C4×C7—21no—
527C22×C4×C7—21no—
528C22×C4×C7—21no—
529C22×C4×C7—21no—
530C22×C4×C7—21no—
531C22×C4×C7—21no—
532C22×C4×C7—21no—
533C22×C4×C7—21no—
534C22×C4×C7C2411yescharacteristic
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—
546C2×C22⋊D7—21no—
547C2×C22⋊D7—21no—
548C2×C22⋊D7—21no—
549C2×C22⋊D7—21no—
550C2×C22⋊D7—21no—
551C2×C22⋊D7—21no—
552C2×C22⋊D7—21no—
553C2×C22⋊D7—82no—
554C2×C22⋊D7—82no—
555C2×C22⋊D7C2×D411yescharacteristic
556C2×C22⋊D7C2×D411yescharacteristic
557C22×Dic7—21no—
558C22×Dic7—21no—
559#1161—22no—
560#1161—22no—
561#1161—41no—
562#1161—41no—
563D4×D7—22no—
564D4×D7—22no—
565D4×D7—41no—
566D4×D7—41no—
567#1157—82no—
568#1157—82no—
569#1157—82no—
570#1157—82no—
571#1157—82no—
572C2×D28—21no—
573C2×D28—21no—
574C2×D28—21no—
575C2×D28—21no—
576C2×D28—21no—
577C2×D28—21no—
578C2×D28—21no—
579C2×D28—21no—
580C2×D28—21no—
581C2×D28—21no—
582C2×D28—82no—
583C2×D28C2×D411yescharacteristic
584C2×D28C2411yescharacteristic
585C2×D28C2411yescharacteristic
586C2×D28C2411yescharacteristic
587C2×D28C2411yescharacteristic
588C2×C4×D7—21no—
589C2×C4×D7—21no—
590C2×C4×D7—21no—
591C2×C4×D7—21no—
592C2×C4×D7—21no—
593C2×C4×D7—21no—
594C2×C4×D7—21no—
595C2×C4×D7—21no—
596C2×C4×D7—21no—
597C2×C4×D7—21no—
598C2×C4×D7—21no—
599C2×C4×D7—21no—
600C2×C4×D7—82no—
601C2×C4×D7C2×D411yescharacteristic
602C2×C4×D7C2×D411yescharacteristic
603C2×C4×D7C2411yescharacteristic
604C2×C4×D7C2411yescharacteristic
605C2×Dic14—21no—
606C2×Dic14—21no—
607C2×Dic14C2×D411yescharacteristic
608C7×SD16—22no—
609C7×SD16#4114yescomplemented
610C7×D8—22no—
611C7×D8—22no—
612C7×M16—22no—
613C2×C7×C8—41no—
614C2×C7×C8C2411yescharacteristic
615C2×C7×C8C2411yescharacteristic
616C2×C7×C8C2411yescharacteristic
617C2×C7×C8C2411yescharacteristic
618C7×C4⋊C4—21no—
619C7×C4⋊C4—21no—
620C7×C4⋊C4—21no—
621C7×C4⋊C4C2×D411yescharacteristic
622C7×C4⋊C4C2×D411yescharacteristic
623C7×C4⋊C4C2411yescharacteristic
624C7×C4⋊C4C2411yescharacteristic
625C7×C4⋊C4C2411yescharacteristic
626C7×C4⋊C4C2411yescharacteristic
627C7×C22⋊C4—21no—
628C7×C22⋊C4—21no—
629C7×C22⋊C4—21no—
630C7×C22⋊C4—21no—
631C7×C22⋊C4—21no—
632C7×C22⋊C4—21no—
633C7×C22⋊C4—21no—
634C7×C22⋊C4C2×D411yescharacteristic
635C7×C22⋊C4C2×D411yescharacteristic
636C42×C7—21no—
637C42×C7—21no—
638C42×C7—21no—
639C42×C7C2411yescharacteristic
640C42×C7C2411yescharacteristic
641C22⋊Dic7—21no—
642C22⋊Dic7—21no—
643C22⋊Dic7—21no—
644C22⋊Dic7—21no—
645C22⋊Dic7—21no—
646C22⋊Dic7—21no—
647C22⋊Dic7C2×D411yescharacteristic
648C22⋊Dic7C2×D411yescharacteristic
649#1143—22no—
650#1143—22no—
651#1141—22no—
652#1141—22no—
653#1141—41no—
654#1141—41no—
655#1141—41no—
656#1141—41no—
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)⋊C4—21no—
672(C2×D7)⋊C4—21no—
673(C2×D7)⋊C4—21no—
674(C2×D7)⋊C4—21no—
675(C2×D7)⋊C4C2×D411yescharacteristic
676(C2×D7)⋊C4C2×D411yescharacteristic
677(C2×D7)⋊C4C2×D411yescharacteristic
678(C2×D7)⋊C4C2×D411yescharacteristic
679(C2×D7)⋊C4C2×D411yescharacteristic
680(C2×D7)⋊C4C2×D411yescharacteristic
681C4⋊Dic7—21no—
682C4⋊Dic7—21no—
683C4⋊Dic7—21no—
684C4⋊Dic7—21no—
685C4⋊Dic7C2×D411yescharacteristic
686C4⋊Dic7C2×D411yescharacteristic
687C4⋊Dic7C2411yescharacteristic
688C4⋊Dic7C2411yescharacteristic
689C4⋊Dic7C2411yescharacteristic
690C4⋊Dic7C2411yescharacteristic
691Dic7⋊C4—21no—
692Dic7⋊C4—21no—
693Dic7⋊C4—21no—
694Dic7⋊C4—21no—
695Dic7⋊C4—21no—
696Dic7⋊C4—21no—
697Dic7⋊C4—21no—
698Dic7⋊C4—21no—
699Dic7⋊C4—21no—
700Dic7⋊C4—21no—
701Dic7⋊C4C2×D411yescharacteristic
702Dic7⋊C4C2×D411yescharacteristic
703Dic7⋊C4C2×D411yescharacteristic
704Dic7⋊C4C2×D411yescharacteristic
705Dic7⋊C4C2×D411yescharacteristic
706Dic7⋊C4C2×D411yescharacteristic
707C4×Dic7—21no—
708C4×Dic7—21no—
709C4×Dic7—21no—
710C4×Dic7—21no—
711C4×Dic7C2×D411yescharacteristic
712C4×Dic7C2×D411yescharacteristic
713C4×Dic7C2411yescharacteristic
714C4×Dic7C2411yescharacteristic
715C2×C7⋊C8C2411yescharacteristic
716C2×C7⋊C8C2411yescharacteristic
717C2×C7⋊C8C2411yescharacteristic
718C2×C7⋊C8C2411yescharacteristic
719D56—22no—
720D56—22no—
721D56—41no—
722D56—41no—
723#1131—22no—
724#1131—22no—
725#1131—41no—
726C8×D7—41no—
727C2×AGL(1,ℤ/8)—71no—
728C2×AGL(1,ℤ/8)—71no—
729C2×AGL(1,ℤ/8)C2×D711yescharacteristic
730#557—71no—
731#555—71no—
732#554—71no—
733#553—71no—
734#553—71no—
735#553—71no—
736#553—71no—
737#553—141no—
738#553—141no—
739#553—141no—
740#550—71no—
741#550—71no—
742#550—71no—
743#550—71no—
744#550—71no—
745#550—141no—
746#547—71no—
747#547—141no—
748#546—141no—
749#546—141no—
750#546—141no—
751D42—71no—
752D42—71no—
753D42—71no—
754#540—71no—
755#540—71no—
756#540—71no—
757#540—71no—
758#540—141no—
759#540—141no—
760#538—141no—
761#538—141no—
762#532—71no—
763#532—71no—
764#532—141no—
765#529—71no—
766#529—141no—
767#525—141no—
768C2×#121—141no—
769#520—71no—
770#520C2×D711yescharacteristic, complemented
771#518—71no—
772#518C2×D711yescharacteristic
773C4×#41—71no—
774C2×C4×D4—71no—
775#499—71no—
776#499—71no—
777#498—71no—
778#493—71no—
779#493—71no—
780#493—71no—
781#490—71no—
782#490—71no—
783#490—71no—
784#490—71no—
785#486—71no—
786#486—71no—
787#482—71no—
788#482—71no—
789#482—71no—
790#482—71no—
791#482—71no—
792#482—71no—
793#481—71no—
794#481—71no—
795#480—71no—
796#480—71no—
797#480—71no—
798#480—71no—
799#479—71no—
800#479—71no—
801#478—71no—
802#478—71no—
803#478—71no—
804#478—71no—
805#478—71no—
806#478—71no—
807#477—71no—
808#476—71no—
809#474—71no—
810#474—71no—
811#469—71no—
812#469—71no—
813#469—71no—
814#469—71no—
815#469—71no—
816#469—71no—
817#469—71no—
818#469—71no—
819#466—71no—
820#466—71no—
821#466—71no—
822#466—71no—
823#460—71no—
824#460—71no—
825#460—71no—
826#459—71no—
827#459—71no—
828#459—71no—
829#459—71no—
830#459—71no—
831#459—71no—
832#459—71no—
833#459—71no—
834#459—71no—
835#449—71no—
836#449—71no—
837#449—71no—
838#449—71no—
839#449—71no—
840#449—71no—
841#447—71no—
842#447—71no—
843#447—71no—
844#447—71no—
845#447—71no—
846#447—71no—
847#446—71no—
848C8×Q8—71no—
849#442—71no—
850#442—71no—
851#442—71no—
852#442—71no—
853#442—71no—
854#442—71no—
855#442C2×D711yescharacteristic
856#442C2×D711yescharacteristic, complemented
857#440—71no—
858#440—71no—
859#440C2×D711yescharacteristic
860#440C2×D711yescharacteristic, complemented
861C4×SD16—71no—
862C4×SD16—71no—
863C4×SD16—71no—
864C4×SD16—71no—
865C4×SD16C2×D711yescharacteristic
866C4×SD16C2×D711yescharacteristic, complemented
867C4×D8—71no—
868C4×D8—71no—
869C4×D8—71no—
870C4×D8—71no—
871C4×D8—71no—
872C4×D8—71no—
873C4×D8—71no—
874C4×D8—71no—
875C4×D8C2×D711yescharacteristic
876C4×D8C2×D711yescharacteristic, complemented
877#436—71no—
878#436—71no—
879#436—71no—
880#435—71no—
881#435—71no—
882C8×D4—71no—
883#433—71no—
884#433—71no—
885#431—71no—
886#428—71no—
887#428—71no—
888#428C2×D711yescharacteristic, complemented
889#418—71no—
890#417—71no—
891#416—71no—
892#416C2×D711yescharacteristic, complemented
893C2×#102—71no—
894C2×#102C2×D711yescharacteristic
895#405—71no—
896#405C2×D711yescharacteristic, complemented
897C4×M16—71no—
898C23×C7—21no—
899C23×C7—21no—
900C23×C7—21no—
901C23×C7—42no—
902C23×C7—81no—
903C23×C7—81no—
904C23×C7C22×D411yescharacteristic
905C22×D7—21no—
906C22×D7—21no—
907C22×D7—21no—
908C22×D7—21no—
909C22×D7—42no—
910C22×D7—42no—
911C22×D7—42no—
912C22×D7—81no—
913C22×D7—81no—
914C22×D7—81no—
915C22×D7C22×D411yescharacteristic
916C22×D7C22×D411yescharacteristic
917C7×Q8—21no—
918C7×Q8C2×#4112yes—
919C7×D4—21no—
920C7×D4—21no—
921C7×D4—21no—
922C7×D4—21no—
923C7×D4—21no—
924C7×D4—42no—
925C7×D4—42no—
926C7×D4C2×#4112yes—
927C2×C4×C7—21no—
928C2×C4×C7—21no—
929C2×C4×C7—21no—
930C2×C4×C7—21no—
931C2×C4×C7—21no—
932C2×C4×C7—21no—
933C2×C4×C7—21no—
934C2×C4×C7—42no—
935C2×C4×C7—81no—
936C2×C4×C7—81no—
937C2×C4×C7—81no—
938C2×C4×C7—81no—
939C2×C4×C7—81no—
940C2×C4×C7—81no—
941C2×C4×C7—81no—
942C2×C4×C7C22×D411yescharacteristic
943C2×C4×C7C22×D411yescharacteristic
944C2×C4×C7C22×D411yescharacteristic
945C2×C4×C7C22×D411yescharacteristic
946C2×C4×C7C22×D411yescharacteristic
947C2×C4×C7C2511yescharacteristic
948C22⋊D7—22no—
949C22⋊D7—41no—
950C22⋊D7—42no—
951C22⋊D7—42no—
952C22⋊D7—42no—
953C22⋊D7—42no—
954C22⋊D7—42no—
955C22⋊D7—81no—
956C22⋊D7—81no—
957C22⋊D7—81no—
958C22⋊D7—81no—
959C22⋊D7—81no—
960C22⋊D7—81no—
961C22⋊D7—81no—
962C22⋊D7—81no—
963C22⋊D7—81no—
964C22⋊D7—81no—
965C22⋊D7—81no—
966C22⋊D7—81no—
967C22⋊D7—81no—
968C2×Dic7—21no—
969C2×Dic7—21no—
970C2×Dic7—21no—
971C2×Dic7—21no—
972C2×Dic7—42no—
973C2×Dic7—81no—
974C2×Dic7C22×D411yescharacteristic
975C2×Dic7C22×D411yescharacteristic
976C2×Dic7C22×D411yescharacteristic
977C2×Dic7C22×D411yescharacteristic
978C2×Dic7C22×D411yescharacteristic
979C2×Dic7C22×D411yescharacteristic
980D28—21no—
981D28—21no—
982D28—21no—
983D28—21no—
984D28—21no—
985D28—21no—
986D28—21no—
987D28—21no—
988D28—41no—
989D28—42no—
990D28—42no—
991D28—42no—
992D28—81no—
993D28—81no—
994D28—81no—
995D28—81no—
996D28—81no—
997D28—81no—
998D28—81no—
999C4×D7—21no—
1000C4×D7—21no—
1001C4×D7—21no—
1002C4×D7—21no—
1003C4×D7—22no—
1004C4×D7—41no—
1005C4×D7—42no—
1006C4×D7—42no—
1007C4×D7—42no—
1008C4×D7—42no—
1009C4×D7—81no—
1010C4×D7—81no—
1011C4×D7—81no—
1012C4×D7—81no—
1013C4×D7—81no—
1014C4×D7—81no—
1015C4×D7—81no—
1016C4×D7—81no—
1017Dic14—22no—
1018Dic14—42no—
1019Dic14—81no—
1020C7×C8—21no—
1021C7×C8—21no—
1022C7×C8—21no—
1023C7×C8C2×#4112yes—
1024C7⋊C8—21no—
1025C7⋊C8—21no—
1026C7⋊C8—21no—
1027C7⋊C8—21no—
1028C2×#41—71no—
1029C2×#41—71no—
1030C2×#41—141no—
1031C2×#41—141no—
1032C2×#41—141no—
1033C2×#41—141no—
1034C2×#41—141no—
1035C2×#41C22×D711yescharacteristic
1036C22×D4—71no—
1037C22×D4—71no—
1038C22×D4—141no—
1039C22×D4—141no—
1040C22×D4—141no—
1041C22×D4C22×D711yescharacteristic
1042C23×C4—141no—
1043AGL(1,ℤ/8)—24no—
1044AGL(1,ℤ/8)—144no—
1045AGL(1,ℤ/8)—144no—
1046C2×SD16—71no—
1047C2×SD16—71no—
1048C2×SD16C22×D711yescharacteristic
1049C2×SD16C22×D711yescharacteristic
1050C2×D8—71no—
1051C2×D8—71no—
1052C2×D8—71no—
1053C2×D8—71no—
1054C2×D8—71no—
1055C2×D8—71no—
1056C2×D8—71no—
1057C2×D8—71no—
1058C2×D8—71no—
1059C2×D8—71no—
1060C2×D8C22×D711yescharacteristic
1061C2×D8C22×D711yescharacteristic
1062C2×M16—71no—
1063C2×M16—71no—
1064C2×M16—71no—
1065C2×M16C22×D711yescharacteristic
1066C22×C8—71no—
1067C22×C8C22×D711yescharacteristic
1068C4⋊Q8—71no—
1069C4⋊Q8—71no—
1070C4⋊Q8—141no—
1071#127—71no—
1072#127—71no—
1073#127—71no—
1074#127—71no—
1075#127—71no—
1076#127—71no—
1077#127—141no—
1078#127—141no—
1079#127—141no—
1080#126—71no—
1081#126—71no—
1082#126—141no—
1083#126—141no—
1084#126—141no—
1085#126—141no—
1086#125—71no—
1087#125—71no—
1088#125—71no—
1089#125—71no—
1090#125—71no—
1091#125—141no—
1092#125—141no—
1093#124—71no—
1094#124—141no—
1095#124—141no—
1096#124—141no—
1097#124—141no—
1098#123—71no—
1099#123—71no—
1100#123—141no—
1101#123—141no—
1102#123—141no—
1103#123—141no—
1104#123—141no—
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—
1114C22⋊Q8—71no—
1115C22⋊Q8—141no—
1116C22⋊Q8—141no—
1117C22⋊Q8—141no—
1118C22⋊Q8—141no—
1119#121—71no—
1120#121—71no—
1121#121—71no—
1122#121—71no—
1123#121—71no—
1124#121—71no—
1125#121—71no—
1126#121—71no—
1127#121—71no—
1128#121—71no—
1129#121—71no—
1130#121—71no—
1131#121—71no—
1132#121—141no—
1133#121—141no—
1134#121—141no—
1135#121—141no—
1136#121—141no—
1137#121—141no—
1138#121—141no—
1139#121—141no—
1140#121—141no—
1141#121—141no—
1142#121—141no—
1143#121—141no—
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#120—141no—
1163#120—141no—
1164#120—141no—
1165#120—141no—
1166#120—141no—
1167#120—141no—
1168C4×Q8—71no—
1169C4×Q8—71no—
1170C4×Q8—71no—
1171C4×Q8—141no—
1172C4×Q8C22×D711yescharacteristic
1173C4×Q8C22×D711yescharacteristic
1174C4×D4—21no—
1175C4×D4—21no—
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—71no—
1188C4×D4—71no—
1189C4×D4—71no—
1190C4×D4—71no—
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×D4—141no—
1206C4×D4—141no—
1207C4×D4—141no—
1208C4×D4C22×D711yescharacteristic
1209C4×D4C22×D711yescharacteristic
1210C4×D4C22×D711yescharacteristic
1211C4×D4C22×D711yescharacteristic
1212C4×D4C22×D711yescharacteristic
1213C4×D4C22×D711yescharacteristic
1214#117—21no—
1215#117—71no—
1216#117—71no—
1217#117—71no—
1218#117—141no—
1219#117—141no—
1220#117—141no—
1221#117C22×D711yescharacteristic
1222#117C22×D711yescharacteristic
1223C2×C4⋊C4—21no—
1224C2×C4⋊C4—71no—
1225C2×C4⋊C4—71no—
1226C2×C4⋊C4—141no—
1227C2×C4⋊C4—141no—
1228C2×C4⋊C4C22×D711yescharacteristic
1229C2×C22⋊C4—21no—
1230C2×C22⋊C4—21no—
1231C2×C22⋊C4—141no—
1232C2×C22⋊C4—141no—
1233C2×C22⋊C4—141no—
1234C2×C42—71no—
1235C2×C42—141no—
1236#107—71no—
1237#107—71no—
1238#107—71no—
1239#107—71no—
1240#107—71no—
1241#107—71no—
1242#107C22×D711yescharacteristic
1243#107C22×D711yescharacteristic
1244#106—71no—
1245#106—71no—
1246#106—71no—
1247#106—71no—
1248#106—71no—
1249#106—71no—
1250#106C22×D711yescharacteristic
1251#106C22×D711yescharacteristic
1252C4⋊C8—71no—
1253C4⋊C8—71no—
1254C4⋊C8—71no—
1255C4⋊C8—71no—
1256C4⋊C8—71no—
1257C4⋊C8—71no—
1258#103—71no—
1259#103—71no—
1260#103C22×D711yescharacteristic
1261#103C22×D711yescharacteristic
1262#102—71no—
1263#102—71no—
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#102—71no—
1283#102—71no—
1284#102C22×D711yescharacteristic
1285#102C22×D711yescharacteristic
1286#102C22×D711yescharacteristic
1287#102C22×D711yescharacteristic
1288#102C22×D711yescharacteristic
1289#102C22×D711yescharacteristic
1290C22⋊C8—71no—
1291C22⋊C8—71no—
1292C22⋊C8—71no—
1293C22⋊C8—71no—
1294C22⋊C8—71no—
1295C22⋊C8—71no—
1296#97—71no—
1297#97—71no—
1298#97C22×D711yescharacteristic
1299#97C22×D711yescharacteristic
1300C4×C8—71no—
1301C4×C8—71no—
1302C4×C8—71no—
1303C4×C8—71no—
1304C4×C8C22×D711yescharacteristic
1305C4×C8C22×D711yescharacteristic
1306C22×C7—21no—
1307C22×C7—22no—
1308C22×C7—21no—
1309C22×C7—21no—
1310C22×C7—41no—
1311C22×C7—41no—
1312C22×C7—41no—
1313C22×C7—41no—
1314C22×C7—41no—
1315C22×C7—41no—
1316C22×C7—41no—
1317C22×C7—41no—
1318C22×C7—162no—
1319C22×C7C23×D411yescharacteristic
1320C2×D7—21no—
1321C2×D7—21no—
1322C2×D7—21no—
1323C2×D7—21no—
1324C2×D7—21no—
1325C2×D7—21no—
1326C2×D7—41no—
1327C2×D7—41no—
1328C2×D7—41no—
1329C2×D7—41no—
1330C2×D7—41no—
1331C2×D7—41no—
1332C2×D7—41no—
1333C2×D7—41no—
1334C2×D7—41no—
1335C2×D7—41no—
1336C2×D7—41no—
1337C2×D7—41no—
1338C2×D7—84no—
1339C2×D7—162no—
1340C4×C7—21no—
1341C4×C7—21no—
1342C4×C7—22no—
1343C4×C7—21no—
1344C4×C7—21no—
1345C4×C7—21no—
1346C4×C7—41no—
1347C4×C7—41no—
1348C4×C7—41no—
1349C4×C7—41no—
1350C4×C7C22×#4111yescharacteristic
1351C4×C7#58511yescharacteristic
1352Dic7—21no—
1353Dic7—21no—
1354Dic7—21no—
1355Dic7—21no—
1356Dic7—21no—
1357Dic7—41no—
1358Dic7—41no—
1359Dic7—41no—
1360Dic7—41no—
1361Dic7#57612yes—
1362C24—21no—
1363C24—141no—
1364C24—141no—
1365#41—22no—
1366#41—41no—
1367#41—142no—
1368#41—142no—
1369#41—281no—
1370#41—281no—
1371#41—562no—
1372#41—562no—
1373#41—562no—
1374#41—562no—
1375#41—562no—
1376C2×Q8—71no—
1377C2×Q8—141no—
1378C2×Q8—141no—
1379C2×Q8C23×D711yescharacteristic
1380C2×D4—22no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—41no—
1384C2×D4—71no—
1385C2×D4—71no—
1386C2×D4—71no—
1387C2×D4—71no—
1388C2×D4—71no—
1389C2×D4—71no—
1390C2×D4—71no—
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—141no—
1407C2×D4—142no—
1408C2×D4—142no—
1409C2×D4—141no—
1410C2×D4—141no—
1411C2×D4—141no—
1412C2×D4—141no—
1413C2×D4—141no—
1414C2×D4—141no—
1415C2×D4—141no—
1416C2×D4—141no—
1417C2×D4—141no—
1418C2×D4—141no—
1419C2×D4—141no—
1420C2×D4—141no—
1421C2×D4—281no—
1422C2×D4—281no—
1423C2×D4—562no—
1424C2×D4—562no—
1425C2×D4—562no—
1426C2×D4C23×D711yescharacteristic
1427C2×D4C23×D711yescharacteristic
1428C2×D4C23×D711yescharacteristic
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—71no—
1438C22×C4—71no—
1439C22×C4—71no—
1440C22×C4—71no—
1441C22×C4—141no—
1442C22×C4—141no—
1443C22×C4—141no—
1444C22×C4—141no—
1445C22×C4—141no—
1446C22×C4—141no—
1447C22×C4—141no—
1448C22×C4—141no—
1449C22×C4—141no—
1450C22×C4—141no—
1451C22×C4—141no—
1452C22×C4—141no—
1453C22×C4—141no—
1454C22×C4—141no—
1455C22×C4—562no—
1456C22×C4C23×D711yescharacteristic
1457SD16—22no—
1458SD16—142no—
1459SD16—142no—
1460SD16#115714yescomplemented
1461D8—22no—
1462D8—22no—
1463D8—142no—
1464D8—142no—
1465D8—142no—
1466D8—142no—
1467D8—281no—
1468D8—281no—
1469D8—281no—
1470D8—281no—
1471D8—281no—
1472D8—281no—
1473M16—22no—
1474M16—142no—
1475M16—142no—
1476M16—281no—
1477C2×C8—41no—
1478C2×C8—71no—
1479C2×C8—71no—
1480C2×C8—71no—
1481C2×C8—71no—
1482C2×C8—281no—
1483C2×C8C23×D711yescharacteristic
1484C2×C8C23×D711yescharacteristic
1485C2×C8C23×D711yescharacteristic
1486C2×C8C23×D711yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—71no—
1491C4⋊C4—71no—
1492C4⋊C4—71no—
1493C4⋊C4—71no—
1494C4⋊C4—71no—
1495C4⋊C4—71no—
1496C4⋊C4—71no—
1497C4⋊C4—71no—
1498C4⋊C4—71no—
1499C4⋊C4—71no—
1500C4⋊C4—71no—
1501C4⋊C4—71no—
1502C4⋊C4—141no—
1503C4⋊C4—141no—
1504C4⋊C4—141no—
1505C4⋊C4—141no—
1506C4⋊C4—141no—
1507C4⋊C4—141no—
1508C4⋊C4—141no—
1509C4⋊C4—141no—
1510C4⋊C4—141no—
1511C4⋊C4—141no—
1512C4⋊C4—141no—
1513C4⋊C4—141no—
1514C4⋊C4—141no—
1515C4⋊C4—141no—
1516C4⋊C4D4×D711yescharacteristic
1517C4⋊C4D4×D711yescharacteristic
1518C4⋊C4C23×D711yescharacteristic
1519C4⋊C4C23×D711yescharacteristic
1520C4⋊C4C23×D711yescharacteristic
1521C4⋊C4C23×D711yescharacteristic
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—71no—
1530C22⋊C4—71no—
1531C22⋊C4—71no—
1532C22⋊C4—71no—
1533C22⋊C4—71no—
1534C22⋊C4—71no—
1535C22⋊C4—71no—
1536C22⋊C4—71no—
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—
1559C22⋊C4—141no—
1560C22⋊C4—141no—
1561C22⋊C4D4×D711yescharacteristic
1562C22⋊C4D4×D711yescharacteristic
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—71no—
1567C42—71no—
1568C42—71no—
1569C42—71no—
1570C42—141no—
1571C42—141no—
1572C42—141no—
1573C42—141no—
1574C42C23×D711yescharacteristic
1575C42C23×D711yescharacteristic
1576C2×C7—42no—
1577C2×C7—41no—
1578C2×C7—81no—
1579C2×C7—81no—
1580C2×C7D4×#4111yescharacteristic
1581C2×C7C2×#57611yescharacteristic
1582C2×C7#358511yescharacteristic
1583D7—41no—
1584D7—41no—
1585D7—81no—
1586D7—81no—
1587D7—81no—
1588D7—81no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—42no—
1593C23—71no—
1594C23—71no—
1595C23—81no—
1596C23—81no—
1597C23—141no—
1598C23—141no—
1599C23—141no—
1600C23—141no—
1601C23—282no—
1602C23—282no—
1603C23—282no—
1604C23—561no—
1605C23—561no—
1606C23—561no—
1607C23C2×D4×D711yescharacteristic
1608Q8—21no—
1609Q8—142no—
1610Q8—282no—
1611Q8—561no—
1612Q8C2×#115712yes—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—42no—
1619D4—42no—
1620D4—142no—
1621D4—141no—
1622D4—141no—
1623D4—141no—
1624D4—141no—
1625D4—141no—
1626D4—141no—
1627D4—141no—
1628D4—141no—
1629D4—281no—
1630D4—282no—
1631D4—282no—
1632D4—282no—
1633D4—282no—
1634D4—282no—
1635D4—281no—
1636D4—282no—
1637D4—282no—
1638D4—282no—
1639D4—561no—
1640D4—561no—
1641D4—561no—
1642D4—561no—
1643D4—561no—
1644D4—561no—
1645D4—561no—
1646D4—561no—
1647D4—561no—
1648D4—561no—
1649D4—561no—
1650D4—561no—
1651D4—561no—
1652D4—561no—
1653D4—561no—
1654D4—561no—
1655D4—561no—
1656D4—561no—
1657D4—561no—
1658D4—561no—
1659D4C2×#115712yes—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—42no—
1668C2×C4—71no—
1669C2×C4—71no—
1670C2×C4—71no—
1671C2×C4—71no—
1672C2×C4—71no—
1673C2×C4—71no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—142no—
1682C2×C4—141no—
1683C2×C4—141no—
1684C2×C4—141no—
1685C2×C4—141no—
1686C2×C4—141no—
1687C2×C4—141no—
1688C2×C4—141no—
1689C2×C4—141no—
1690C2×C4—281no—
1691C2×C4—282no—
1692C2×C4—282no—
1693C2×C4—282no—
1694C2×C4—282no—
1695C2×C4—282no—
1696C2×C4—561no—
1697C2×C4—561no—
1698C2×C4—561no—
1699C2×C4—561no—
1700C2×C4—561no—
1701C2×C4—561no—
1702C2×C4—561no—
1703C2×C4—561no—
1704C2×C4—561no—
1705C2×C4C2×D4×D711yescharacteristic
1706C2×C4C2×D4×D711yescharacteristic
1707C2×C4C2×D4×D711yescharacteristic
1708C2×C4C2×D4×D711yescharacteristic
1709C2×C4C2×D4×D711yescharacteristic
1710C2×C4C24×D711yescharacteristic
1711C8—21no—
1712C8—21no—
1713C8—21no—
1714C8—141no—
1715C8—141no—
1716C8—141no—
1717C8—141no—
1718C8C2×#115712yes—
1719C7#6155511yescharacteristic, complemented, Sylow
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—22no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—141no—
1733C22—141no—
1734C22—141no—
1735C22—141no—
1736C22—141no—
1737C22—141no—
1738C22—162no—
1739C22—281no—
1740C22—281no—
1741C22—281no—
1742C22—281no—
1743C22—281no—
1744C22—281no—
1745C22—281no—
1746C22—281no—
1747C22—281no—
1748C22—281no—
1749C22—281no—
1750C22—281no—
1751C22—564no—
1752C22—1122no—
1753C22C22×D4×D711yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—22no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—72no—
1765C4—141no—
1766C4—141no—
1767C4—141no—
1768C4—141no—
1769C4—141no—
1770C4—281no—
1771C4—281no—
1772C4—281no—
1773C4—281no—
1774C4C22×#115711yescharacteristic
1775C4#9061611yescharacteristic
1776C2—41no—
1777C2—42no—
1778C2—81no—
1779C2—81no—
1780C2—281no—
1781C2—281no—
1782C2—561no—
1783C2—561no—
1784C2—561no—
1785C2—561no—
1786C2D4×#115711yescharacteristic
1787C2D7×#57611yescharacteristic
1788C2#1174427511yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#2946C2
socleC22×C7C23×D4
hypercenter#2946D7
hypocenterC7#61555
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ #117 ◁ #2946

Complements

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

NH ≅ G/Ntype
1. #11742964C2semidirect
2. #11742939C2semidirect
3. C7×#2946C2semidirect
4. #11741404C2semidirect
5. #11741404C2semidirect
6. #11740013C2semidirect
7. #11739987C2semidirect
8. #11737327C2semidirect
9. #11737322C2semidirect
10. #11737305C2semidirect
11. #11737296C2semidirect
12. #11737244C2semidirect
13. #11737220C2semidirect
14. #11737218C2semidirect
15. #11737197C2semidirect
16. #11737142C2semidirect
17. #11737140C2semidirect
18. #11737115C2semidirect
19. #11737078C2semidirect
20. #11737063C2semidirect
21. #11737041C2semidirect
22. #11737035C2semidirect
23. #11737023C2semidirect
24. #11736681C2semidirect
25. #11736680C2semidirect
26. #11736299C2semidirect
27. #11736297C2semidirect
28. #11736209C2semidirect
29. #11736202C2semidirect
30. #11736014C2semidirect
31. #11736004C2semidirect
33. C7×#520C22semidirect
35. #90525C22semidirect
36. #90525C22semidirect
41. #90268C22semidirect
42. #90265C22semidirect
43. C4×#1161C22semidirect
44. #90260C22semidirect
47. #90253C22semidirect
51. #90249C22semidirect
54. #90244C22semidirect
59. #90239C22semidirect
67. #90226C22semidirect
73. #90205C22semidirect
75. #90198C22semidirect
81. C7×#442C22semidirect
83. C7×#440C22semidirect
85. C4×C7×SD16C22semidirect
87. C4×C7×D8C22semidirect
88. C7×#428C22semidirect
89. C7×#416C22semidirect
91. C7×#405C22semidirect
92. #90010C22semidirect
93. #90010C22semidirect
96. #89944C22semidirect
97. #89944C22semidirect
98. #89935C22semidirect
99. #89935C22semidirect
102. #89931C22semidirect
103. #89931C22semidirect
106. #89923C22semidirect
107. #89923C22semidirect
110. #89907C22semidirect
111. #89907C22semidirect
112. #89900C22semidirect
113. #89900C22semidirect
114. #89887C22semidirect
115. #89887C22semidirect
116. #89883C22semidirect
117. C8×C22⋊D7C22semidirect
118. #89799C22semidirect
119. #89798C22semidirect
120. C4×#1143C22semidirect
121. #89794C22semidirect
123. #89787C22semidirect
124. #89787C22semidirect
126. #89786C22semidirect
127. #89786C22semidirect
129. C4×#1141C22semidirect
130. C4×#1141C22semidirect
132. #89781C22semidirect
133. #89781C22semidirect
134. #89775C22semidirect
135. #89775C22semidirect
136. #89772C22semidirect
137. #89740C22semidirect
138. #89739C22semidirect
139. #89663C22semidirect
140. #89662C22semidirect
141. #89657C22semidirect
142. #89654C22semidirect
143. #89653C22semidirect
144. #89653C22semidirect
145. #89644C22semidirect
146. #89644C22semidirect
147. #89643C22semidirect
148. #89642C22semidirect
149. #89638C22semidirect
150. #89637C22semidirect
151. #89637C22semidirect
152. #89635C22semidirect
153. #89630C22semidirect
154. #89627C22semidirect
155. #89589C22semidirect
156. #89583C22semidirect
157. #89583C22semidirect
158. #89576C22semidirect
159. #89575C22semidirect
160. #89568C22semidirect
161. #89566C22semidirect
162. #89560C22semidirect
163. #89558C22semidirect
164. #89558C22semidirect
165. #89558C22semidirect
166. #89558C22semidirect
168. #89556C22semidirect
169. #89556C22semidirect
170. #89554C22semidirect
171. #89554C22semidirect
172. #89547C22semidirect
173. #89547C22semidirect
174. #89546C22semidirect
175. #89546C22semidirect
181. #89536C22semidirect
182. #89536C22semidirect
183. #89532C22semidirect
184. #89532C22semidirect
187. #89485C22semidirect
188. #89485C22semidirect
189. #89483C22semidirect
190. #89483C22semidirect
191. #89480C22semidirect
192. #89479C22semidirect
193. #89478C22semidirect
194. #89473C22semidirect
195. #89467C22semidirect
196. C4×D56C22semidirect
197. C4×D56C22semidirect
198. #89462C22semidirect
199. #89460C22semidirect
200. #89457C22semidirect
201. #89455C22semidirect
202. C8×Dic14C22semidirect
511. #2946D7semidirect
609. C7×SD16#41semidirect
770. #520C2×D7semidirect
856. #442C2×D7semidirect
860. #440C2×D7semidirect
866. C4×SD16C2×D7semidirect
876. C4×D8C2×D7semidirect
888. #428C2×D7semidirect
892. #416C2×D7semidirect
896. #405C2×D7semidirect
1460. SD16#1157semidirect
1719. C7#61555semidirect

Maximal subgroups

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

subgroupindex
#117429642
#117429392
C7×#29462
#117414042
#117400132
#117399872
#117373272
#117373222
#117373052
#117372962
#117372442
#117372202
#117372182
#117371972
#117371422
#117371402
#117371152
#117370782
#117370632
#117370412
#117370352
#117370232
#117366812
#117366802
#117362992
#117362972
#117362092
#117362022
#117360142
#117360042
#615557