Finite Group Databasebeta

← #14223944

Subgroups — #14223944

Order 1792.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D7×#542C211yesmaximal, characteristic, complemented
2#11743563C211yesmaximal, characteristic, complemented
3C7×#3178C211yesmaximal, characteristic, complemented
4#11740904C211yesmaximal, characteristic, complemented
5#11740890C211yesmaximal, characteristic, complemented
6#11739421C211yesmaximal, characteristic, complemented
7#11739406C211yesmaximal, characteristic, complemented
8#11739316C211yesmaximal, characteristic, complemented
9#11739307C211yesmaximal, characteristic, complemented
10#11739085C211yesmaximal, characteristic, complemented
11#11739075C211yesmaximal, characteristic, complemented
12#11739046C211yesmaximal, characteristic, complemented
13#11739039C211yesmaximal, characteristic, complemented
14#11738349C211yesmaximal, characteristic, complemented
15#11738334C211yesmaximal, characteristic, complemented
16#11738250C211yesmaximal, characteristic, complemented
17#11738232C211yesmaximal, characteristic, complemented
18#11738204C211yesmaximal, characteristic, complemented
19#11738187C211yesmaximal, characteristic, complemented
20#11738102C211yesmaximal, characteristic, complemented
21#11738079C211yesmaximal, characteristic, complemented
22#11737274C211yesmaximal, characteristic, complemented
23#11737268C211yesmaximal, characteristic, complemented
24#11737218C211yesmaximal, characteristic, complemented
25#11737213C211yesmaximal, characteristic, complemented
26#11737172C211yesmaximal, characteristic, complemented
27C4×#6481C211yesmaximal, characteristic, complemented
28#11737111C211yesmaximal, characteristic, complemented
29C4×#6477C211yesmaximal, characteristic, complemented
30#11736023C211yesmaximal, characteristic, complemented
31#11735993C211yesmaximal, characteristic, complemented
32C7×#542C2211yescharacteristic
33C7×#541C2211yescharacteristic, complemented
34C2×#6481C2211yescharacteristic
35C2×#6481C2211yescharacteristic
36C2×#6477C2211yescharacteristic
37C2×#6477C2211yescharacteristic
38C2×D7×M16C2211yescharacteristic
39C22×#1131C2211yescharacteristic
40#90424C2211yescharacteristic
41#90422C2211yescharacteristic, complemented
42#90416C2211yescharacteristic
43D7×C4⋊Q8C2211yescharacteristic
44#90401—21no—
45#90397—21no—
46#90397—21no—
47#90395—21no—
48#90395—21no—
49D7×#126—21no—
50#90389C2211yescharacteristic, complemented
51#90383—21no—
52#90383—21no—
53#90382—21no—
54#90382—21no—
55#90379C2211yescharacteristic
56#90373C2211yescharacteristic
57D7×#124—21no—
58D7×#124C2211yescharacteristic
59#90360—21no—
60#90353—21no—
61D7×#123—21no—
62#90334C2211yescharacteristic
63#90334C2211yescharacteristic, complemented
64#90334C2211yescharacteristic, complemented
65#90331—21no—
66#90318C2211yescharacteristic
67#90318C2211yescharacteristic
68D7×C22⋊Q8—21no—
69D7×C22⋊Q8C2211yescharacteristic
70D7×#121C2211yescharacteristic
71#90294C2211yescharacteristic
72#90273C2211yescharacteristic
73#90273C2211yescharacteristic, complemented
74#90273C2211yescharacteristic, complemented
75C4×#1161C2211yescharacteristic
76C4×#1161C2211yescharacteristic
77C4×Q8×D7C2211yescharacteristic
78#90252C2211yescharacteristic
79C4×D4×D7C2211yescharacteristic
80#90226C2211yescharacteristic, complemented
81#90225C2211yescharacteristic
82D7×#117C2211yescharacteristic
83C7×#501C2211yescharacteristic, complemented
84C7×#497C2211yescharacteristic, complemented
85C7×#488C2211yescharacteristic, complemented
86C7×#487C2211yescharacteristic, complemented
87C7×#470C2211yescharacteristic, complemented
88C7×#468C2211yescharacteristic
89C7×#467C2211yescharacteristic, complemented
90C7×#465C2211yescharacteristic
91C7×#441C2211yescharacteristic, complemented
92C7×#440C2211yescharacteristic, complemented
93C4×C7×Q16C2211yescharacteristic, complemented
94C4×C7×SD16C2211yescharacteristic, complemented
95C7×#405C2211yescharacteristic, complemented
96#89963C2211yescharacteristic, complemented
97#89963C2211yescharacteristic, complemented
98#89961C2211yescharacteristic, complemented
99#89960C2211yescharacteristic, complemented
100#89956C2211yescharacteristic, complemented
101Q16×Dic7C2211yescharacteristic, complemented
102#89946C2211yescharacteristic
103#89943C2211yescharacteristic
104#89940C2211yescharacteristic, complemented
105#89940C2211yescharacteristic, complemented
106#89936C2211yescharacteristic, complemented
107SD16×Dic7C2211yescharacteristic, complemented
108#89907C2211yescharacteristic
109#89906C2211yescharacteristic, complemented
110#89894C2211yescharacteristic, complemented
111#89887C2211yescharacteristic
112#89886C2211yescharacteristic, complemented
113#89873C2211yescharacteristic, complemented
114#89860C2211yescharacteristic, complemented
115#89858C2211yescharacteristic, complemented
116#89853C2211yescharacteristic, complemented
117#89852C2211yescharacteristic, complemented
118#89840C2211yescharacteristic, complemented
119#89837C2211yescharacteristic, complemented
120#89830C2211yescharacteristic, complemented
121#89828C2211yescharacteristic, complemented
122#89824C2211yescharacteristic, complemented
123#89823C2211yescharacteristic, complemented
124#89821C2211yescharacteristic
125#89821C2211yescharacteristic, complemented
126#89820C2211yescharacteristic
127#89820C2211yescharacteristic, complemented
128#89811C2211yescharacteristic
129#89810C2211yescharacteristic
130#89802C2211yescharacteristic, complemented
131C4×#1144C2211yescharacteristic, complemented
132#89798C2211yescharacteristic, complemented
133#89798C2211yescharacteristic, complemented
134C4×#1143C2211yescharacteristic, complemented
135C4×#1143C2211yescharacteristic, complemented
136#89786C2211yescharacteristic, complemented
137C4×#1141C2211yescharacteristic, complemented
138#89769C2211yescharacteristic, complemented
139#89661C2211yescharacteristic, complemented
140#89658C2211yescharacteristic, complemented
141#89655C2211yescharacteristic
142#89653C2211yescharacteristic
143#89653C2211yescharacteristic
144#89646C2211yescharacteristic, complemented
145#89646C2211yescharacteristic, complemented
146#89644C2211yescharacteristic, complemented
147#89641C2211yescharacteristic, complemented
148#89637C2211yescharacteristic
149#89636C2211yescharacteristic, complemented
150#89633C2211yescharacteristic
151#89633C2211yescharacteristic
152#89627C2211yescharacteristic, complemented
153#89627C2211yescharacteristic, complemented
154#89624C2211yescharacteristic, complemented
155#89589C2211yescharacteristic, complemented
156#89589C2211yescharacteristic, complemented
157#89588C2211yescharacteristic, complemented
158#89585C2211yescharacteristic, complemented
159#89584C2211yescharacteristic
160#89584C2211yescharacteristic, complemented
161#89579C2211yescharacteristic
162#89579C2211yescharacteristic, complemented
163#89575C2211yescharacteristic
164#89575C2211yescharacteristic
165#89575C2211yescharacteristic
166#89575C2211yescharacteristic
167#89574C2211yescharacteristic
168#89574C2211yescharacteristic
169#89567C2211yescharacteristic, complemented
170#89567C2211yescharacteristic, complemented
171#89567C2211yescharacteristic, complemented
172#89567C2211yescharacteristic, complemented
173#89567C2211yescharacteristic, complemented
174#89567C2211yescharacteristic, complemented
175#89562C2211yescharacteristic, complemented
176#89561C2211yescharacteristic, complemented
177#89560C2211yescharacteristic, complemented
178#89560C2211yescharacteristic, complemented
179#89557C2211yescharacteristic, complemented
180#89554C2211yescharacteristic
181#89547C2211yescharacteristic
182#89542C2211yescharacteristic
183#89542C2211yescharacteristic
184#89537C2211yescharacteristic, complemented
185#89537C2211yescharacteristic, complemented
186#89528C2211yescharacteristic, complemented
187#89484C2211yescharacteristic, complemented
188#89483C2211yescharacteristic, complemented
189#89482C2211yescharacteristic, complemented
190#89480C2211yescharacteristic, complemented
191#89480C2211yescharacteristic, complemented
192#89479C2211yescharacteristic
193#89479C2211yescharacteristic
194#89474C2211yescharacteristic, complemented
195#89469C2211yescharacteristic, complemented
196#89466C2211yescharacteristic, complemented
197C4×D56C2211yescharacteristic, complemented
198C4×#1132C2211yescharacteristic, complemented
199#89461C2211yescharacteristic, complemented
200#89461C2211yescharacteristic, complemented
201C4×#1131C2211yescharacteristic
202C4×#1131C2211yescharacteristic
203#60703—71nomaximal, Sylow
204C2×#1161C2311yescharacteristic
205C2×#1161C2311yescharacteristic
206C2×Q8×D7—21no—
207C2×Q8×D7C2311yescharacteristic
208C2×D4×D7—21no—
209C2×D4×D7C2311yescharacteristic
210C22×C4×D7—21no—
211C22×C4×D7C2311yescharacteristic
212C2×C7×Q16C2311yescharacteristic
213C2×C7×Q16C2311yescharacteristic
214C2×C7×SD16C2311yescharacteristic
215C2×C7×SD16C2311yescharacteristic
216C2×C7×M16C2311yescharacteristic
217C22×C7×C8C2311yescharacteristic
218C7×C4⋊Q8C2311yescharacteristic
219C7×C4⋊Q8C2311yescharacteristic
220C7×#126—21no—
221C7×#126—21no—
222C7×#126—21no—
223C7×#125—21no—
224C7×#125—21no—
225C7×#125C2311yescharacteristic
226C7×#124—21no—
227C7×#124C2311yescharacteristic
228C7×#123—21no—
229C7×C22⋊Q8—21no—
230C7×C22⋊Q8C2311yescharacteristic
231C7×C22⋊Q8C2311yescharacteristic
232C7×C22⋊Q8C2311yescharacteristic
233C7×#121C2311yescharacteristic
234C4×C7×Q8C2311yescharacteristic
235C4×C7×Q8C2311yescharacteristic
236C4×C7×Q8C2311yescharacteristic
237C4×C7×D4C2311yescharacteristic
238C7×#117C2311yescharacteristic
239#6510—21no—
240#6510C2311yescharacteristic
241#6510C2311yescharacteristic
242#6510C2311yescharacteristic
243#6509—21no—
244#6509C2311yescharacteristic
245#6509C2311yescharacteristic
246#6509C2311yescharacteristic
247Q8×Dic7C2311yescharacteristic
248Q8×Dic7C2311yescharacteristic
249Q8×Dic7C2311yescharacteristic
250#6507—21no—
251C2×#1144C2311yescharacteristic
252C2×#1144C2311yescharacteristic
253C2×#1143C2311yescharacteristic
254C2×#1143C2311yescharacteristic
255C2×#1143C2311yescharacteristic
256C2×#1143C2311yescharacteristic
257#6502—21no—
258#6501C2311yescharacteristic
259#6499—21no—
260#6499C2311yescharacteristic
261#6498—21no—
262D4×Dic7C2311yescharacteristic
263C2×#1141C2311yescharacteristic
264C2×#1141C2311yescharacteristic
265#6493C2311yescharacteristic
266#6493C2311yescharacteristic
267#6493C2311yescharacteristic
268#6492—21no—
269C4×C22⋊D7—21no—
270#6489C2311yescharacteristic
271#6487—21no—
272#6487C2311yescharacteristic
273C2×#1136C2311yescharacteristic
274C22×C7⋊C8C2311yescharacteristic
275#6481—24no—
276#6481—24no—
277#6477—24no—
278#6477—24no—
279D7×M16—24no—
280C2×D56C2311yescharacteristic
281C2×D56C2311yescharacteristic
282C2×#1132C2311yescharacteristic
283C2×#1132C2311yescharacteristic
284C2×#1131—24no—
285C2×#1131C2311yescharacteristic
286C2×#1131C2311yescharacteristic
287C2×#1131C2311yescharacteristic
288C2×#1131C2311yescharacteristic
289C2×#1131C2311yescharacteristic
290C2×#1131C2311yescharacteristic
291C2×C8×D7C2311yescharacteristic
292C2×C8×D7C2311yescharacteristic
293#6461—21no—
294#6461—21no—
295#6461—21no—
296#6461—21no—
297#6461—21no—
298#6461—21no—
299#6461—21no—
300#6460—21no—
301#6460—21no—
302#6460—21no—
303#6460C2311yescharacteristic
304#6459—21no—
305#6459—21no—
306#6459—21no—
307#6459—21no—
308#6459—21no—
309#6459—21no—
310#6459—21no—
311#6458—21no—
312#6458—21no—
313#6458—21no—
314#6458—21no—
315#6458C2311yescharacteristic
316#6458C2311yescharacteristic
317#6458C2311yescharacteristic
318#6457—21no—
319#6457—21no—
320#6457—21no—
321#6457—21no—
322#6457—21no—
323#6457—21no—
324#6457—21no—
325#6457—21no—
326#6457—21no—
327#6457—21no—
328#6456—21no—
329#6456—21no—
330#6456—21no—
331#6456—21no—
332#6456—21no—
333#6456—21no—
334#6456C2311yescharacteristic
335#6456C2311yescharacteristic
336#6456C2311yescharacteristic
337#6455—21no—
338#6455—21no—
339#6455D411yescharacteristic
340#6455D411yescharacteristic
341#6455C2311yescharacteristic
342#6455C2311yescharacteristic
343D7×C4⋊C4—21no—
344D7×C4⋊C4—21no—
345D7×C4⋊C4—21no—
346D7×C4⋊C4D411yescharacteristic
347D7×C4⋊C4D411yescharacteristic
348D7×C4⋊C4C2311yescharacteristic
349D7×C4⋊C4C2311yescharacteristic
350#6452—21no—
351#6452—21no—
352#6451—21no—
353#6451C2311yescharacteristic
354#6451C2311yescharacteristic
355#6451C2311yescharacteristic
356#6451C2311yescharacteristic
357#6450—21no—
358#6450—21no—
359#6450—21no—
360#6450C2311yescharacteristic
361#6449—21no—
362#6448—21no—
363#6448—21no—
364#6448—21no—
365#6448—21no—
366#6448—21no—
367#6448—21no—
368#6448—21no—
369#6448—21no—
370#6447—21no—
371#6447—21no—
372#6447—21no—
373#6446—21no—
374#6446—21no—
375#6446—21no—
376#6446—21no—
377#6445—21no—
378#6445—21no—
379(C22⋊D7)⋊C4—21no—
380(C22⋊D7)⋊C4—21no—
381(C22⋊D7)⋊C4—21no—
382D7×C22⋊C4—21no—
383D7×C22⋊C4—21no—
384D7×C22⋊C4—21no—
385D7×C22⋊C4—21no—
386D7×C22⋊C4—21no—
387D7×C22⋊C4D411yescharacteristic
388D7×C22⋊C4D411yescharacteristic
389#6442—21no—
390#6442—21no—
391#6442—21no—
392#6441—21no—
393#6441—21no—
394#6441—21no—
395#6440D411yescharacteristic
396#6440D411yescharacteristic
397#6439—21no—
398#6439—21no—
399#6439—21no—
400#6438—21no—
401#6438—21no—
402#6438—21no—
403#6438C2311yescharacteristic
404#6437C2311yescharacteristic
405C4×D28—21no—
406C4×D28—21no—
407C4×D28C2311yescharacteristic
408C4×D28C2311yescharacteristic
409C4×D28C2311yescharacteristic
410#6435C2311yescharacteristic
411#6435C2311yescharacteristic
412C42×D7—21no—
413C42×D7—21no—
414C42×D7—21no—
415C42×D7C2311yescharacteristic
416C42×D7C2311yescharacteristic
417#6433C2311yescharacteristic
418#6432C2311yescharacteristic
419C4×Dic14—21no—
420C4×Dic14C2311yescharacteristic
421C7×#107C2311yescharacteristic
422C7×#107C2311yescharacteristic
423C7×#106C2311yescharacteristic
424C7×#106C2311yescharacteristic
425C7×#103C2311yescharacteristic
426C7×#103C2311yescharacteristic
427C7×#103C2311yescharacteristic
428C7×#103C2311yescharacteristic
429C7×#103C2311yescharacteristic
430C7×#103C2311yescharacteristic
431C7×#102C2311yescharacteristic
432C7×#102C2311yescharacteristic
433C7×#97C2311yescharacteristic
434C7×#97C2311yescharacteristic
435C4×C7×C8C2311yescharacteristic
436C4×C7×C8C2311yescharacteristic
437#6409C2311yescharacteristic
438#6409C2311yescharacteristic
439#6409C2311yescharacteristic
440#6409C2311yescharacteristic
441#6409C2311yescharacteristic
442#6409C2311yescharacteristic
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#6382C2311yescharacteristic
476#6382C2311yescharacteristic
477#6381C2311yescharacteristic
478#6381C2311yescharacteristic
479#6381C2311yescharacteristic
480#6381C2311yescharacteristic
481#6377C2311yescharacteristic
482#6377C2311yescharacteristic
483C4×C7⋊C8C2311yescharacteristic
484C4×C7⋊C8C2311yescharacteristic
485#3455—71no—
486C2×#542—71no—
487#3179—71no—
488#3179—71no—
489#3179—71no—
490#3179—71no—
491#3178—71no—
492#3178—71no—
493#3178—71no—
494#3178D711yescharacteristic, complemented
495#3175—71no—
496#3175—71no—
497#3175—71no—
498#3175—71no—
499#3173—71no—
500#3173—71no—
501#3173—71no—
502#3173—71no—
503#3165—71no—
504#3153—71no—
505#3141—71no—
506#3140—71no—
507#3056—71no—
508#3056—71no—
509#3055—71no—
510#3055—71no—
511C4×#137—71no—
512C4×#137—71no—
513C4×AGL(1,ℤ/8)—71no—
514C4×AGL(1,ℤ/8)—71no—
515#2873—71no—
516C23×D7—21no—
517C23×D7C2×D411yescharacteristic
518C2×C7×Q8—21no—
519C2×C7×Q8C2411yescharacteristic
520C2×C7×Q8C2411yescharacteristic
521C2×C7×Q8C2411yescharacteristic
522C2×C7×D4—21no—
523C2×C7×D4C2411yescharacteristic
524C22×C4×C7—21no—
525C22×C4×C7C2411yescharacteristic
526C2×C22⋊D7—21no—
527C2×C22⋊D7—21no—
528C2×C22⋊D7—21no—
529C2×C22⋊D7—21no—
530C2×C22⋊D7—21no—
531C22×Dic7—21no—
532C22×Dic7C2×D411yescharacteristic
533#1161—22no—
534#1161—22no—
535#1161—22no—
536#1161—22no—
537Q8×D7—22no—
538Q8×D7—22no—
539Q8×D7—82no—
540D4×D7—22no—
541D4×D7—22no—
542D4×D7—82no—
543C2×D28—21no—
544C2×D28—21no—
545C2×D28—21no—
546C2×D28—21no—
547C2×D28—21no—
548C2×D28—21no—
549C2×D28—21no—
550C2×D28C2411yescharacteristic
551C2×D28C2411yescharacteristic
552C2×D28C2411yescharacteristic
553C2×C4×D7—22no—
554C2×C4×D7—22no—
555C2×C4×D7—21no—
556C2×C4×D7—21no—
557C2×C4×D7—21no—
558C2×C4×D7—21no—
559C2×C4×D7—21no—
560C2×C4×D7—21no—
561C2×C4×D7—21no—
562C2×C4×D7—21no—
563C2×C4×D7—21no—
564C2×C4×D7—21no—
565C2×C4×D7—21no—
566C2×C4×D7—82no—
567C2×C4×D7C2×D411yescharacteristic
568C2×C4×D7C2×D411yescharacteristic
569C2×C4×D7C2×D411yescharacteristic
570C2×C4×D7C2×D411yescharacteristic
571C2×C4×D7C2×D411yescharacteristic
572C2×C4×D7C2×D411yescharacteristic
573C2×C4×D7C2411yescharacteristic
574C2×C4×D7C2411yescharacteristic
575C2×Dic14—21no—
576C2×Dic14—21no—
577C2×Dic14—21no—
578C2×Dic14—21no—
579C2×Dic14—21no—
580C2×Dic14—21no—
581C2×Dic14C2411yescharacteristic
582C7×Q16—22no—
583C7×Q16—22no—
584C7×SD16—22no—
585C7×SD16—22no—
586C7×M16—22no—
587C2×C7×C8—22no—
588C2×C7×C8C2411yescharacteristic
589C2×C7×C8C2411yescharacteristic
590C2×C7×C8C2411yescharacteristic
591C2×C7×C8C2411yescharacteristic
592C7×C4⋊C4—21no—
593C7×C4⋊C4—21no—
594C7×C4⋊C4—21no—
595C7×C4⋊C4—21no—
596C7×C4⋊C4—21no—
597C7×C4⋊C4—21no—
598C7×C4⋊C4—21no—
599C7×C4⋊C4—21no—
600C7×C4⋊C4—21no—
601C7×C4⋊C4—21no—
602C7×C4⋊C4—21no—
603C7×C4⋊C4C2×D411yescharacteristic
604C7×C4⋊C4C2×D411yescharacteristic
605C7×C4⋊C4C2411yescharacteristic
606C7×C4⋊C4C2411yescharacteristic
607C7×C4⋊C4C2411yescharacteristic
608C7×C4⋊C4C2411yescharacteristic
609C7×C22⋊C4—21no—
610C7×C22⋊C4—21no—
611C7×C22⋊C4—21no—
612C7×C22⋊C4—21no—
613C7×C22⋊C4—21no—
614C7×C22⋊C4—21no—
615C7×C22⋊C4—21no—
616C7×C22⋊C4C2×D411yescharacteristic
617C7×C22⋊C4C2×D411yescharacteristic
618C42×C7—21no—
619C42×C7—21no—
620C42×C7—21no—
621C42×C7C2411yescharacteristic
622C42×C7C2411yescharacteristic
623C22⋊Dic7—21no—
624C22⋊Dic7—21no—
625C22⋊Dic7—21no—
626C22⋊Dic7—21no—
627C22⋊Dic7—21no—
628C22⋊Dic7C2×D411yescharacteristic
629C22⋊Dic7C2×D411yescharacteristic
630#1144—22no—
631#1144—22no—
632#1143—22no—
633#1143—22no—
634#1143—22no—
635#1143—22no—
636#1141—22no—
637#1141—22no—
638(C2×D7)⋊C4—21no—
639(C2×D7)⋊C4—21no—
640(C2×D7)⋊C4—21no—
641(C2×D7)⋊C4—21no—
642(C2×D7)⋊C4—21no—
643(C2×D7)⋊C4—21no—
644(C2×D7)⋊C4—21no—
645(C2×D7)⋊C4—21no—
646(C2×D7)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
665(C2×D7)⋊C4C2×D411yescharacteristic
666(C2×D7)⋊C4C2×D411yescharacteristic
667(C2×D7)⋊C4C2×D411yescharacteristic
668C4⋊Dic7—21no—
669C4⋊Dic7—21no—
670C4⋊Dic7—21no—
671C4⋊Dic7—21no—
672C4⋊Dic7—21no—
673C4⋊Dic7C2×D411yescharacteristic
674C4⋊Dic7C2×D411yescharacteristic
675C4⋊Dic7C2411yescharacteristic
676C4⋊Dic7C2411yescharacteristic
677C4⋊Dic7C2411yescharacteristic
678C4⋊Dic7C2411yescharacteristic
679Dic7⋊C4—21no—
680Dic7⋊C4—21no—
681Dic7⋊C4—21no—
682Dic7⋊C4—21no—
683Dic7⋊C4—21no—
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⋊C4C2×D411yescharacteristic
694Dic7⋊C4C2×D411yescharacteristic
695Dic7⋊C4C2×D411yescharacteristic
696Dic7⋊C4C2×D411yescharacteristic
697C4×Dic7—21no—
698C4×Dic7—21no—
699C4×Dic7—21no—
700C4×Dic7—21no—
701C4×Dic7—21no—
702C4×Dic7—21no—
703C4×Dic7—21no—
704C4×Dic7C2×D411yescharacteristic
705C4×Dic7C2×D411yescharacteristic
706C4×Dic7C2×D411yescharacteristic
707C4×Dic7C2×D411yescharacteristic
708C4×Dic7C2411yescharacteristic
709C4×Dic7C2411yescharacteristic
710#1136—22no—
711C2×C7⋊C8—22no—
712C2×C7⋊C8C2411yescharacteristic
713C2×C7⋊C8C2411yescharacteristic
714C2×C7⋊C8C2411yescharacteristic
715C2×C7⋊C8C2411yescharacteristic
716D56—22no—
717D56—22no—
718#1132—22no—
719#1132—22no—
720#1131—22no—
721#1131—22no—
722#1131—22no—
723#1131—22no—
724#1131#4114yes—
725#1131#4114yes—
726C8×D7—22no—
727C8×D7—22no—
728C2×#137—71no—
729C2×#137—71no—
730C2×AGL(1,ℤ/8)—71no—
731C2×AGL(1,ℤ/8)—71no—
732C22×M16—71no—
733C22×M16—71no—
734#542—71no—
735#542—71no—
736#542—71no—
737#542—71no—
738#542—71no—
739#542—71no—
740#542—71no—
741#542—71no—
742#542—71no—
743#542—71no—
744#542—71no—
745#542—141no—
746#542—141no—
747#542—141no—
748#542—141no—
749#542C2×D711yescharacteristic
750#541—71no—
751#541C2×D711yescharacteristic, complemented
752#540—71no—
753#540—71no—
754#539—141no—
755#539—141no—
756#538—141no—
757#538—141no—
758#533—71no—
759#532—71no—
760C2×C4⋊Q8—71no—
761#529—141no—
762#529—141no—
763#529—141no—
764#529—141no—
765C2×#126—141no—
766C2×#124—71no—
767C2×#124—141no—
768#525—71no—
769#525—71no—
770C2×#123—141no—
771C2×C22⋊Q8—71no—
772C2×C22⋊Q8—141no—
773C2×#121—71no—
774C4×#41—71no—
775C4×#41—71no—
776C2×C4×Q8—71no—
777C2×C4×D4—71no—
778C2×#117—71no—
779#501—71no—
780#501—71no—
781#501—71no—
782#501C2×D711yescharacteristic, complemented
783#500—71no—
784#500—71no—
785#498—71no—
786#498—71no—
787#497—71no—
788#497C2×D711yescharacteristic, complemented
789#496—71no—
790#496—71no—
791#495—71no—
792#495—71no—
793#495—71no—
794#495—71no—
795#489—71no—
796#489—71no—
797#489—71no—
798#489—71no—
799#489—71no—
800#489—71no—
801#489—71no—
802#489—71no—
803#488—71no—
804#488—71no—
805#488—71no—
806#488C2×D711yescharacteristic, complemented
807#487—71no—
808#487C2×D711yescharacteristic, complemented
809#486—71no—
810#486—71no—
811#470—71no—
812#470—71no—
813#470—71no—
814#470C2×D711yescharacteristic, complemented
815#469—71no—
816#469—71no—
817#469—71no—
818#469—71no—
819#468—71no—
820#468—71no—
821#468—71no—
822#468—71no—
823#468—71no—
824#468—71no—
825#468—71no—
826#468C2×D711yescharacteristic
827#467—71no—
828#467—71no—
829#467—71no—
830#467C2×D711yescharacteristic, complemented
831#466—71no—
832#466—71no—
833#466—71no—
834#466—71no—
835#465—71no—
836#465—71no—
837#465—71no—
838#465—71no—
839#465—71no—
840#465—71no—
841#465—71no—
842#465C2×D711yescharacteristic
843#442—71no—
844#442—71no—
845#442—71no—
846#442—71no—
847#441—71no—
848#441—71no—
849#441—71no—
850#441C2×D711yescharacteristic, complemented
851#440—71no—
852#440—71no—
853#440—71no—
854#440—71no—
855#440—71no—
856#440—71no—
857#440—71no—
858#440C2×D711yescharacteristic, complemented
859C4×Q16—71no—
860C4×Q16—71no—
861C4×Q16—71no—
862C4×Q16C2×D711yescharacteristic, complemented
863C4×SD16—71no—
864C4×SD16—71no—
865C4×SD16—71no—
866C4×SD16—71no—
867C4×SD16—71no—
868C4×SD16—71no—
869C4×SD16—71no—
870C4×SD16C2×D711yescharacteristic, complemented
871C4×D8—71no—
872C4×D8—71no—
873C4×D8—71no—
874C4×D8—71no—
875#428—71no—
876#428—71no—
877#428—71no—
878#428—71no—
879#419—71no—
880#419—71no—
881#418—71no—
882#418—71no—
883#417—71no—
884#417—71no—
885#417—71no—
886#417—71no—
887#405—71no—
888#405—71no—
889#405—71no—
890#405—71no—
891#405—71no—
892#405—71no—
893#405—71no—
894#405C2×D711yescharacteristic, complemented
895C4×M16—71no—
896C4×M16—71no—
897C4×M16—71no—
898C4×M16—71no—
899C23×C7—21no—
900C23×C7C22×D411yescharacteristic
901C22×D7—22no—
902C22×D7—21no—
903C22×D7—21no—
904C22×D7—21no—
905C22×D7—41no—
906C22×D7—41no—
907C22×D7—42no—
908C22×D7—42no—
909C22×D7—42no—
910C22×D7C22×D411yescharacteristic
911C22×D7C22×D411yescharacteristic
912C7×Q8—21no—
913C7×Q8—21no—
914C7×Q8—21no—
915C7×Q8—21no—
916C7×Q8—21no—
917C7×Q8—21no—
918C7×Q8—81no—
919C7×D4—21no—
920C7×D4—21no—
921C7×D4—81no—
922C2×C4×C7—21no—
923C2×C4×C7—21no—
924C2×C4×C7—21no—
925C2×C4×C7—21no—
926C2×C4×C7—21no—
927C2×C4×C7—21no—
928C2×C4×C7—21no—
929C2×C4×C7—21no—
930C2×C4×C7—21no—
931C2×C4×C7—81no—
932C2×C4×C7C22×D411yescharacteristic
933C2×C4×C7C22×D411yescharacteristic
934C2×C4×C7C22×D411yescharacteristic
935C2×C4×C7C22×D411yescharacteristic
936C2×C4×C7C22×D411yescharacteristic
937C2×C4×C7C2511yescharacteristic
938C22⋊D7—42no—
939C22⋊D7—81no—
940C22⋊D7—81no—
941C22⋊D7—81no—
942C22⋊D7—81no—
943C2×Dic7—22no—
944C2×Dic7—21no—
945C2×Dic7—21no—
946C2×Dic7—21no—
947C2×Dic7—21no—
948C2×Dic7—21no—
949C2×Dic7—81no—
950C2×Dic7C22×D411yescharacteristic
951C2×Dic7C22×D411yescharacteristic
952C2×Dic7C22×D411yescharacteristic
953C2×Dic7C22×D411yescharacteristic
954C2×Dic7C22×D411yescharacteristic
955C2×Dic7C22×D411yescharacteristic
956D28—21no—
957D28—21no—
958D28—21no—
959D28—21no—
960D28—21no—
961D28—21no—
962D28—42no—
963D28—42no—
964D28—81no—
965D28—81no—
966D28—81no—
967D28—81no—
968D28—81no—
969C4×D7—22no—
970C4×D7—21no—
971C4×D7—21no—
972C4×D7—22no—
973C4×D7—41no—
974C4×D7—41no—
975C4×D7—41no—
976C4×D7—41no—
977C4×D7—42no—
978C4×D7—42no—
979C4×D7—42no—
980C4×D7—42no—
981C4×D7—42no—
982C4×D7—81no—
983C4×D7—81no—
984C4×D7—81no—
985C4×D7—81no—
986C4×D7—81no—
987C4×D7—81no—
988C4×D7C2×#4112yes—
989C4×D7C2×#4112yes—
990Dic14—21no—
991Dic14—21no—
992Dic14—42no—
993Dic14—81no—
994Dic14—81no—
995Dic14—81no—
996Dic14—81no—
997Dic14—81no—
998C7×C8—21no—
999C7×C8—21no—
1000C7×C8C2×#4112yes—
1001C7×C8C2×#4112yes—
1002C7⋊C8—21no—
1003C7⋊C8—21no—
1004C7⋊C8C2×#4112yes—
1005C7⋊C8C2×#4112yes—
1006C2×#41—71no—
1007C2×#41—71no—
1008C22×Q8—71no—
1009C22×Q8—141no—
1010C22×D4—71no—
1011C22×D4—141no—
1012C23×C4—71no—
1013C23×C4—141no—
1014#137—144no—
1015#137—144no—
1016AGL(1,ℤ/8)—144no—
1017AGL(1,ℤ/8)—144no—
1018C2×Q16—71no—
1019C2×Q16—71no—
1020C2×Q16C22×D711yescharacteristic
1021C2×Q16C22×D711yescharacteristic
1022C2×SD16—71no—
1023C2×SD16—71no—
1024C2×SD16—71no—
1025C2×SD16—71no—
1026C2×SD16—71no—
1027C2×SD16—71no—
1028C2×SD16C22×D711yescharacteristic
1029C2×SD16C22×D711yescharacteristic
1030C2×D8—71no—
1031C2×D8—71no—
1032C2×D8—71no—
1033C2×D8—71no—
1034C2×M16—71no—
1035C2×M16—71no—
1036C2×M16—71no—
1037C2×M16—71no—
1038C2×M16—71no—
1039C2×M16—71no—
1040C2×M16—71no—
1041C2×M16—144no—
1042C2×M16—144no—
1043C2×M16C22×D711yescharacteristic
1044C22×C8—71no—
1045C22×C8—71no—
1046C22×C8—71no—
1047C22×C8C22×D711yescharacteristic
1048C4⋊Q8—71no—
1049C4⋊Q8—71no—
1050C4⋊Q8—71no—
1051C4⋊Q8—71no—
1052C4⋊Q8—71no—
1053C4⋊Q8—141no—
1054C4⋊Q8—141no—
1055C4⋊Q8C22×D711yescharacteristic
1056C4⋊Q8C22×D711yescharacteristic
1057#127—71no—
1058#126—21no—
1059#126—21no—
1060#126—21no—
1061#126—141no—
1062#126—141no—
1063#126—141no—
1064#126—141no—
1065#126—141no—
1066#126—141no—
1067#126—141no—
1068#126—141no—
1069#126—141no—
1070#126—141no—
1071#126—141no—
1072#126—141no—
1073#126—141no—
1074#125—21no—
1075#125—21no—
1076#125—71no—
1077#125—141no—
1078#125—141no—
1079#125C22×D711yescharacteristic
1080#124—21no—
1081#124—71no—
1082#124—71no—
1083#124—71no—
1084#124—71no—
1085#124—71no—
1086#124—141no—
1087#124—141no—
1088#124—141no—
1089#124—141no—
1090#124—141no—
1091#124—141no—
1092#124—141no—
1093#124—141no—
1094#124—141no—
1095#124—141no—
1096#124—141no—
1097#124—141no—
1098#124—141no—
1099#124C22×D711yescharacteristic
1100#123—21no—
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—
1114#123—141no—
1115#123—141no—
1116#123—141no—
1117#123—141no—
1118C22⋊Q8—21no—
1119C22⋊Q8—71no—
1120C22⋊Q8—71no—
1121C22⋊Q8—71no—
1122C22⋊Q8—71no—
1123C22⋊Q8—71no—
1124C22⋊Q8—141no—
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⋊Q8—141no—
1134C22⋊Q8—141no—
1135C22⋊Q8—141no—
1136C22⋊Q8—141no—
1137C22⋊Q8—141no—
1138C22⋊Q8—141no—
1139C22⋊Q8C22×D711yescharacteristic
1140C22⋊Q8C22×D711yescharacteristic
1141C22⋊Q8C22×D711yescharacteristic
1142#121—71no—
1143#121—71no—
1144#121—71no—
1145#121—71no—
1146#121—71no—
1147#121—71no—
1148#121—71no—
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#121C22×D711yescharacteristic
1158#120—141no—
1159#120—141no—
1160C4×Q8—71no—
1161C4×Q8—71no—
1162C4×Q8—71no—
1163C4×Q8—71no—
1164C4×Q8—71no—
1165C4×Q8—141no—
1166C4×Q8—141no—
1167C4×Q8—141no—
1168C4×Q8—141no—
1169C4×Q8C22×D711yescharacteristic
1170C4×Q8C22×D711yescharacteristic
1171C4×Q8C22×D711yescharacteristic
1172C4×D4—71no—
1173C4×D4—71no—
1174C4×D4—71no—
1175C4×D4—71no—
1176C4×D4—71no—
1177C4×D4—71no—
1178C4×D4—71no—
1179C4×D4—141no—
1180C4×D4—141no—
1181C4×D4—141no—
1182C4×D4—141no—
1183C4×D4—141no—
1184C4×D4—141no—
1185C4×D4—141no—
1186C4×D4—141no—
1187C4×D4—141no—
1188C4×D4—141no—
1189C4×D4—141no—
1190C4×D4—141no—
1191C4×D4C22×D711yescharacteristic
1192#117—71no—
1193#117—71no—
1194#117—71no—
1195#117—71no—
1196#117—71no—
1197#117—71no—
1198#117—71no—
1199#117—71no—
1200#117—71no—
1201#117—141no—
1202#117—141no—
1203#117C22×D711yescharacteristic
1204C2×C4⋊C4—71no—
1205C2×C4⋊C4—71no—
1206C2×C4⋊C4—71no—
1207C2×C4⋊C4—71no—
1208C2×C4⋊C4—141no—
1209C2×C4⋊C4—141no—
1210C2×C4⋊C4—141no—
1211C2×C22⋊C4—71no—
1212C2×C22⋊C4—71no—
1213C2×C22⋊C4—141no—
1214C2×C22⋊C4—141no—
1215C2×C22⋊C4—141no—
1216C2×C22⋊C4—141no—
1217C2×C22⋊C4—141no—
1218C2×C42—71no—
1219C2×C42—71no—
1220C2×C42—141no—
1221C2×C42—141no—
1222C2×C42—141no—
1223#107—71no—
1224#107—71no—
1225#107—71no—
1226#107—71no—
1227#107—71no—
1228#107—71no—
1229#107C22×D711yescharacteristic
1230#107C22×D711yescharacteristic
1231#106—71no—
1232#106—71no—
1233#106—71no—
1234#106—71no—
1235#106—71no—
1236#106—71no—
1237#106C22×D711yescharacteristic
1238#106C22×D711yescharacteristic
1239#103—71no—
1240#103—71no—
1241#103—71no—
1242#103—71no—
1243#103—71no—
1244#103—71no—
1245#103—71no—
1246#103—71no—
1247#103—71no—
1248#103—71no—
1249#103C22×D711yescharacteristic
1250#103C22×D711yescharacteristic
1251#103C22×D711yescharacteristic
1252#103C22×D711yescharacteristic
1253#103C22×D711yescharacteristic
1254#103C22×D711yescharacteristic
1255#102—71no—
1256#102—71no—
1257#102—71no—
1258#102—71no—
1259#102—71no—
1260#102—71no—
1261#102—71no—
1262#102—71no—
1263#102—71no—
1264#102—71no—
1265#102—71no—
1266#102—71no—
1267#102—71no—
1268#102—71no—
1269#102C22×D711yescharacteristic
1270#102C22×D711yescharacteristic
1271#97—71no—
1272#97—71no—
1273#97—71no—
1274#97—71no—
1275#97—71no—
1276#97—71no—
1277#97C22×D711yescharacteristic
1278#97C22×D711yescharacteristic
1279C4×C8—71no—
1280C4×C8—71no—
1281C4×C8—71no—
1282C4×C8—71no—
1283C4×C8—71no—
1284C4×C8—71no—
1285C4×C8C22×D711yescharacteristic
1286C4×C8C22×D711yescharacteristic
1287C22×C7—21no—
1288C22×C7—21no—
1289C22×C7—21no—
1290C22×C7—41no—
1291C22×C7—41no—
1292C22×C7—41no—
1293C22×C7C23×D411yescharacteristic
1294C2×D7—21no—
1295C2×D7—21no—
1296C2×D7—21no—
1297C2×D7—21no—
1298C2×D7—21no—
1299C2×D7—41no—
1300C2×D7—41no—
1301C2×D7—41no—
1302C2×D7—41no—
1303C2×D7—41no—
1304C2×D7—41no—
1305C2×D7—41no—
1306C2×D7—41no—
1307C2×D7—41no—
1308C2×D7—82no—
1309C2×D7—84no—
1310C2×D7#53212yes—
1311C4×C7—21no—
1312C4×C7—21no—
1313C4×C7—21no—
1314C4×C7—21no—
1315C4×C7—21no—
1316C4×C7—41no—
1317C4×C7—41no—
1318C4×C7—41no—
1319C4×C7—41no—
1320C4×C7—41no—
1321C4×C7—41no—
1322C4×C7—41no—
1323C4×C7C22×#4111yescharacteristic
1324C4×C7C22×#4111yescharacteristic
1325Dic7—21no—
1326Dic7—21no—
1327Dic7—21no—
1328Dic7—21no—
1329Dic7—21no—
1330Dic7—41no—
1331Dic7—41no—
1332Dic7—41no—
1333Dic7—41no—
1334Dic7—41no—
1335Dic7#53212yes—
1336C24—71no—
1337C24—141no—
1338#41—142no—
1339#41—142no—
1340#41—142no—
1341#41—142no—
1342C2×Q8—21no—
1343C2×Q8—71no—
1344C2×Q8—141no—
1345C2×Q8—141no—
1346C2×Q8—141no—
1347C2×Q8—141no—
1348C2×Q8—141no—
1349C2×Q8—142no—
1350C2×Q8—142no—
1351C2×Q8—141no—
1352C2×Q8—562no—
1353C2×Q8C23×D711yescharacteristic
1354C2×Q8C23×D711yescharacteristic
1355C2×Q8C23×D711yescharacteristic
1356C2×D4—21no—
1357C2×D4—71no—
1358C2×D4—71no—
1359C2×D4—71no—
1360C2×D4—141no—
1361C2×D4—141no—
1362C2×D4—141no—
1363C2×D4—141no—
1364C2×D4—141no—
1365C2×D4—142no—
1366C2×D4—142no—
1367C2×D4—141no—
1368C2×D4—141no—
1369C2×D4—141no—
1370C2×D4—141no—
1371C2×D4—141no—
1372C2×D4—141no—
1373C2×D4—141no—
1374C2×D4—562no—
1375C2×D4C23×D711yescharacteristic
1376C22×C4—21no—
1377C22×C4—71no—
1378C22×C4—71no—
1379C22×C4—71no—
1380C22×C4—71no—
1381C22×C4—71no—
1382C22×C4—71no—
1383C22×C4—71no—
1384C22×C4—71no—
1385C22×C4—71no—
1386C22×C4—142no—
1387C22×C4—142no—
1388C22×C4—141no—
1389C22×C4—141no—
1390C22×C4—141no—
1391C22×C4—141no—
1392C22×C4—141no—
1393C22×C4—141no—
1394C22×C4—141no—
1395C22×C4—141no—
1396C22×C4—141no—
1397C22×C4—141no—
1398C22×C4—141no—
1399C22×C4—141no—
1400C22×C4—562no—
1401C22×C4C23×D711yescharacteristic
1402Q16—22no—
1403Q16—22no—
1404Q16—142no—
1405Q16—142no—
1406SD16—22no—
1407SD16—22no—
1408SD16—142no—
1409SD16—142no—
1410SD16—142no—
1411SD16—142no—
1412SD16—142no—
1413SD16—142no—
1414D8—142no—
1415D8—142no—
1416D8—142no—
1417D8—142no—
1418M16—22no—
1419M16—74no—
1420M16—74no—
1421M16—142no—
1422M16—142no—
1423M16—142no—
1424M16—142no—
1425M16—142no—
1426C2×C8—22no—
1427C2×C8—71no—
1428C2×C8—71no—
1429C2×C8—71no—
1430C2×C8—71no—
1431C2×C8—142no—
1432C2×C8—142no—
1433C2×C8—142no—
1434C2×C8C23×D711yescharacteristic
1435C2×C8C23×D711yescharacteristic
1436C2×C8C23×D711yescharacteristic
1437C2×C8C23×D711yescharacteristic
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—71no—
1450C4⋊C4—71no—
1451C4⋊C4—71no—
1452C4⋊C4—71no—
1453C4⋊C4—71no—
1454C4⋊C4—71no—
1455C4⋊C4—71no—
1456C4⋊C4—71no—
1457C4⋊C4—71no—
1458C4⋊C4—71no—
1459C4⋊C4—141no—
1460C4⋊C4—141no—
1461C4⋊C4—141no—
1462C4⋊C4—141no—
1463C4⋊C4—141no—
1464C4⋊C4—141no—
1465C4⋊C4—141no—
1466C4⋊C4—141no—
1467C4⋊C4—141no—
1468C4⋊C4—141no—
1469C4⋊C4—141no—
1470C4⋊C4—141no—
1471C4⋊C4—141no—
1472C4⋊C4—141no—
1473C4⋊C4—141no—
1474C4⋊C4—141no—
1475C4⋊C4—141no—
1476C4⋊C4—141no—
1477C4⋊C4—141no—
1478C4⋊C4D4×D711yescharacteristic
1479C4⋊C4D4×D711yescharacteristic
1480C4⋊C4C23×D711yescharacteristic
1481C4⋊C4C23×D711yescharacteristic
1482C4⋊C4C23×D711yescharacteristic
1483C4⋊C4C23×D711yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—71no—
1492C22⋊C4—71no—
1493C22⋊C4—71no—
1494C22⋊C4—71no—
1495C22⋊C4—71no—
1496C22⋊C4—71no—
1497C22⋊C4—141no—
1498C22⋊C4—141no—
1499C22⋊C4—141no—
1500C22⋊C4—141no—
1501C22⋊C4—141no—
1502C22⋊C4—141no—
1503C22⋊C4—141no—
1504C22⋊C4—141no—
1505C22⋊C4—141no—
1506C22⋊C4—141no—
1507C22⋊C4—141no—
1508C22⋊C4—141no—
1509C22⋊C4—141no—
1510C22⋊C4—141no—
1511C22⋊C4—141no—
1512C22⋊C4—141no—
1513C22⋊C4—141no—
1514C22⋊C4—141no—
1515C22⋊C4—141no—
1516C22⋊C4—141no—
1517C22⋊C4—141no—
1518C22⋊C4—141no—
1519C22⋊C4—141no—
1520C22⋊C4—141no—
1521C22⋊C4—141no—
1522C22⋊C4—141no—
1523C22⋊C4—141no—
1524C22⋊C4—141no—
1525C22⋊C4—141no—
1526C22⋊C4—141no—
1527C22⋊C4—141no—
1528C22⋊C4D4×D711yescharacteristic
1529C22⋊C4D4×D711yescharacteristic
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—71no—
1534C42—71no—
1535C42—71no—
1536C42—71no—
1537C42—71no—
1538C42—71no—
1539C42—141no—
1540C42—141no—
1541C42—141no—
1542C42—141no—
1543C42—141no—
1544C42—141no—
1545C42—141no—
1546C42C23×D711yescharacteristic
1547C42C23×D711yescharacteristic
1548C2×C7—41no—
1549C2×C7—81no—
1550C2×C7C2×#53211yescharacteristic
1551C2×C7#358511yescharacteristic
1552C2×C7#358611yescharacteristic
1553D7—22no—
1554D7—41no—
1555D7—81no—
1556D7—81no—
1557D7—81no—
1558C23—21no—
1559C23—71no—
1560C23—71no—
1561C23—142no—
1562C23—141no—
1563C23—141no—
1564C23—141no—
1565C23—281no—
1566C23—281no—
1567C23—282no—
1568C23—282no—
1569C23—282no—
1570C23C2×D4×D711yescharacteristic
1571Q8—21no—
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—81no—
1578Q8—141no—
1579Q8—141no—
1580Q8—282no—
1581Q8—561no—
1582Q8—561no—
1583Q8—561no—
1584Q8—561no—
1585Q8—561no—
1586D4—21no—
1587D4—21no—
1588D4—81no—
1589D4—141no—
1590D4—141no—
1591D4—141no—
1592D4—141no—
1593D4—141no—
1594D4—141no—
1595D4—282no—
1596D4—282no—
1597D4—282no—
1598D4—561no—
1599D4—561no—
1600D4—561no—
1601D4—561no—
1602D4—561no—
1603D4—561no—
1604D4—561no—
1605D4—561no—
1606D4—561no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—71no—
1617C2×C4—72no—
1618C2×C4—72no—
1619C2×C4—71no—
1620C2×C4—71no—
1621C2×C4—71no—
1622C2×C4—71no—
1623C2×C4—71no—
1624C2×C4—81no—
1625C2×C4—142no—
1626C2×C4—142no—
1627C2×C4—142no—
1628C2×C4—141no—
1629C2×C4—141no—
1630C2×C4—141no—
1631C2×C4—141no—
1632C2×C4—141no—
1633C2×C4—141no—
1634C2×C4—141no—
1635C2×C4—281no—
1636C2×C4—281no—
1637C2×C4—281no—
1638C2×C4—281no—
1639C2×C4—282no—
1640C2×C4—282no—
1641C2×C4—282no—
1642C2×C4—282no—
1643C2×C4—282no—
1644C2×C4—561no—
1645C2×C4—561no—
1646C2×C4—561no—
1647C2×C4—561no—
1648C2×C4—561no—
1649C2×C4—561no—
1650C2×C4—561no—
1651C2×C4C2×D4×D711yescharacteristic
1652C2×C4C2×D4×D711yescharacteristic
1653C2×C4C2×D4×D711yescharacteristic
1654C2×C4C2×D4×D711yescharacteristic
1655C2×C4C2×D4×D711yescharacteristic
1656C2×C4C24×D711yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—72no—
1660C8—72no—
1661C8—141no—
1662C8—141no—
1663C8D7×#4112yes—
1664C8D7×#4112yes—
1665C7#6070311yescharacteristic, complemented, Sylow
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—72no—
1673C22—141no—
1674C22—141no—
1675C22—141no—
1676C22—141no—
1677C22—141no—
1678C22—281no—
1679C22—281no—
1680C22—281no—
1681C22—281no—
1682C22—281no—
1683C22—281no—
1684C22—281no—
1685C22—281no—
1686C22—281no—
1687C22—562no—
1688C22—564no—
1689C22C22×D4×D711yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—72no—
1703C4—141no—
1704C4—141no—
1705C4—141no—
1706C4—141no—
1707C4—141no—
1708C4—281no—
1709C4—281no—
1710C4—281no—
1711C4—281no—
1712C4—281no—
1713C4C2×D7×#4111yescharacteristic
1714C4C2×D7×#4111yescharacteristic
1715C2—41no—
1716C2—81no—
1717C2—142no—
1718C2—281no—
1719C2—561no—
1720C2—561no—
1721C2—561no—
1722C2D7×#53211yescharacteristic
1723C2#1174427511yescharacteristic
1724C2#1174427911yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3178C2
socleC22×C7C23×D4
hypercenter#3178D7
hypocenterC7#60703
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ #117 ◁ #3178

Complements

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

NH ≅ G/Ntype
1. D7×#542C2semidirect
2. #11743563C2semidirect
3. C7×#3178C2semidirect
4. #11740904C2semidirect
5. #11740890C2semidirect
6. #11739421C2semidirect
7. #11739406C2semidirect
8. #11739316C2semidirect
9. #11739307C2semidirect
10. #11739085C2semidirect
11. #11739075C2semidirect
12. #11739046C2semidirect
13. #11739039C2semidirect
14. #11738349C2semidirect
15. #11738334C2semidirect
16. #11738250C2semidirect
17. #11738232C2semidirect
18. #11738204C2semidirect
19. #11738187C2semidirect
20. #11738102C2semidirect
21. #11738079C2semidirect
22. #11737274C2semidirect
23. #11737268C2semidirect
24. #11737218C2semidirect
25. #11737213C2semidirect
26. #11737172C2semidirect
27. C4×#6481C2semidirect
28. #11737111C2semidirect
29. C4×#6477C2semidirect
30. #11736023C2semidirect
31. #11735993C2semidirect
33. C7×#541C22semidirect
41. #90422C22semidirect
50. #90389C22semidirect
63. #90334C22semidirect
64. #90334C22semidirect
73. #90273C22semidirect
74. #90273C22semidirect
80. #90226C22semidirect
83. C7×#501C22semidirect
84. C7×#497C22semidirect
85. C7×#488C22semidirect
86. C7×#487C22semidirect
87. C7×#470C22semidirect
89. C7×#467C22semidirect
91. C7×#441C22semidirect
92. C7×#440C22semidirect
93. C4×C7×Q16C22semidirect
94. C4×C7×SD16C22semidirect
95. C7×#405C22semidirect
96. #89963C22semidirect
97. #89963C22semidirect
98. #89961C22semidirect
99. #89960C22semidirect
100. #89956C22semidirect
101. Q16×Dic7C22semidirect
104. #89940C22semidirect
105. #89940C22semidirect
106. #89936C22semidirect
107. SD16×Dic7C22semidirect
109. #89906C22semidirect
110. #89894C22semidirect
112. #89886C22semidirect
113. #89873C22semidirect
114. #89860C22semidirect
115. #89858C22semidirect
116. #89853C22semidirect
117. #89852C22semidirect
118. #89840C22semidirect
119. #89837C22semidirect
120. #89830C22semidirect
121. #89828C22semidirect
122. #89824C22semidirect
123. #89823C22semidirect
125. #89821C22semidirect
127. #89820C22semidirect
130. #89802C22semidirect
131. C4×#1144C22semidirect
132. #89798C22semidirect
133. #89798C22semidirect
134. C4×#1143C22semidirect
135. C4×#1143C22semidirect
136. #89786C22semidirect
137. C4×#1141C22semidirect
138. #89769C22semidirect
139. #89661C22semidirect
140. #89658C22semidirect
144. #89646C22semidirect
145. #89646C22semidirect
146. #89644C22semidirect
147. #89641C22semidirect
149. #89636C22semidirect
152. #89627C22semidirect
153. #89627C22semidirect
154. #89624C22semidirect
155. #89589C22semidirect
156. #89589C22semidirect
157. #89588C22semidirect
158. #89585C22semidirect
160. #89584C22semidirect
162. #89579C22semidirect
169. #89567C22semidirect
170. #89567C22semidirect
171. #89567C22semidirect
172. #89567C22semidirect
173. #89567C22semidirect
174. #89567C22semidirect
175. #89562C22semidirect
176. #89561C22semidirect
177. #89560C22semidirect
178. #89560C22semidirect
179. #89557C22semidirect
184. #89537C22semidirect
185. #89537C22semidirect
186. #89528C22semidirect
187. #89484C22semidirect
188. #89483C22semidirect
189. #89482C22semidirect
190. #89480C22semidirect
191. #89480C22semidirect
194. #89474C22semidirect
195. #89469C22semidirect
196. #89466C22semidirect
197. C4×D56C22semidirect
198. C4×#1132C22semidirect
199. #89461C22semidirect
200. #89461C22semidirect
494. #3178D7semidirect
751. #541C2×D7semidirect
782. #501C2×D7semidirect
788. #497C2×D7semidirect
806. #488C2×D7semidirect
808. #487C2×D7semidirect
814. #470C2×D7semidirect
830. #467C2×D7semidirect
850. #441C2×D7semidirect
858. #440C2×D7semidirect
862. C4×Q16C2×D7semidirect
870. C4×SD16C2×D7semidirect
894. #405C2×D7semidirect
1665. C7#60703semidirect

Maximal subgroups

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

subgroupindex
D7×#5422
#117435632
C7×#31782
#117409042
#117408902
#117394212
#117394062
#117393162
#117393072
#117390852
#117390752
#117390462
#117390392
#117383492
#117383342
#117382502
#117382322
#117382042
#117381872
#117381022
#117380792
#117372742
#117372682
#117372182
#117372132
#117371722
C4×#64812
#117371112
C4×#64772
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