Finite Group Databasebeta

← D7×#3524 #14262068

Subgroups — D7×#3524 #14262068

Order 1792.

7226 conjugacy classes of subgroups.

The subgroup lattice has 2042 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3524C211yesmaximal, characteristic, complemented
2D7×#559C213yesmaximal, complemented
3#11744124C213yesmaximal, complemented
4D7×#557C211yesmaximal, characteristic, complemented
5#11744094C211yesmaximal, characteristic, complemented
6D7×#555C213yesmaximal, complemented
7#11744033C213yesmaximal, complemented
8D7×#553C213yesmaximal, complemented
9#11743959C213yesmaximal, complemented
10D7×#552C213yesmaximal, complemented
11#11743911C213yesmaximal, complemented
12D7×#550C211yesmaximal, characteristic, complemented
13#11743845C211yesmaximal, characteristic, complemented
14D7×#548C211yesmaximal, characteristic, complemented
15D7×#548C211yesmaximal, characteristic, complemented
16#11743792C211yesmaximal, characteristic, complemented
17#11743791C211yesmaximal, characteristic, complemented
18D7×#542C213yesmaximal, complemented
19#11743596C213yesmaximal, complemented
20D7×#540C213yesmaximal, complemented
21#11743539C213yesmaximal, complemented
22D7×#529C213yesmaximal, complemented
23D7×#529C213yesmaximal, complemented
24#11743199C213yesmaximal, complemented
25#11743198C213yesmaximal, complemented
26D7×#520C211yesmaximal, characteristic, complemented
27#11742966C211yesmaximal, characteristic, complemented
28D7×#519C211yesmaximal, characteristic, complemented
29#11742947C211yesmaximal, characteristic, complemented
30#11742923C211yesmaximal, characteristic, complemented
31C4×D7×#41C211yesmaximal, characteristic, complemented
32C2×D7×#41C2211yescharacteristic
33C2×D7×#41C2211yescharacteristic
34C22×Q8×D7C2211yescharacteristic
35C7×#559C2213yescomplemented
36C7×#557C2211yescharacteristic, complemented
37C7×#555C2213yescomplemented
38C7×#553C2213yescomplemented
39C7×#552C2213yescomplemented
40C7×#550C2211yescharacteristic, complemented
41C7×#548C2211yescharacteristic, complemented
42C7×#548C2211yescharacteristic, complemented
43C7×#542C2213yescomplemented
44C7×#540C2213yescomplemented
45C7×#529C2213yescomplemented
46C7×#529C2213yescomplemented
47C7×#520C2211yescharacteristic, complemented
48C7×#519C2211yescharacteristic, complemented
49C4×C7×#41C2211yescharacteristic, complemented
50#90525C2211yescharacteristic, complemented
51#90525C2211yescharacteristic, complemented
52#90522C2211yescharacteristic, complemented
53#90522C2211yescharacteristic, complemented
54#90518C2211yescharacteristic, complemented
55#41×Dic7C2211yescharacteristic, complemented
56#90508C2211yescharacteristic, complemented
57#90508C2211yescharacteristic, complemented
58#90503C2211yescharacteristic, complemented
59#90425C2213yescomplemented
60#90424C2213yescomplemented
61D7×C4⋊Q8C2213yes—
62#90412C2213yescomplemented
63#90410C2213yescomplemented
64#90409C2213yescomplemented
65D7×#127C2213yes—
66#90404C2213yescomplemented
67#90401C2216yescomplemented
68#90400C2216yescomplemented
69#90399C2216yescomplemented
70#90397C2213yescomplemented
71#90397C2216yescomplemented
72#90397C2213yescomplemented
73D7×#126C2216yes—
74D7×#126C2211yescharacteristic
75D7×#126C2213yes—
76#90389C2213yescomplemented
77#90386C2213yescomplemented
78#90385C2213yescomplemented
79#90384C2216yescomplemented
80#90382C2213yescomplemented
81#90382C2213yescomplemented
82D7×#125C2213yes—
83D7×#125C2213yes—
84D7×#125C2213yes—
85#90376C2213yescomplemented
86#90376C2213yescomplemented
87#90373C2213yescomplemented
88#90372C2216yescomplemented
89#90372C2213yescomplemented
90#90372C2213yescomplemented
91#90371C2213yescomplemented
92#90371C2213yescomplemented
93#90368C2213yescomplemented
94#90368C2213yescomplemented
95D7×#124C2213yes—
96D7×#124C2216yes—
97D7×#124C2213yes—
98D7×#124C2213yes—
99#90361C2216yescomplemented
100#90361C2216yescomplemented
101#90360C2216yescomplemented
102#90355C2216yescomplemented
103#90355C2216yescomplemented
104#90354C2216yescomplemented
105#90354C2216yescomplemented
106#90353C2216yescomplemented
107#90352C2216yescomplemented
108D7×#123C2216yes—
109D7×#123C2216yes—
110D7×#123C2213yes—
111D7×#123C2213yes—
112#90341C2216yescomplemented
113#90340C2216yescomplemented
114#90340C2213yescomplemented
115#90340C2213yescomplemented
116#90334C2213yescomplemented
117#90333C2213yescomplemented
118#90331C2216yescomplemented
119#90330C2213yescomplemented
120#90324C2213yescomplemented
121#90324C2213yescomplemented
122D7×C22⋊Q8C2213yes—
123D7×C22⋊Q8C2213yes—
124D7×C22⋊Q8C2213yes—
125#90315C2213yescomplemented
126#90315C2213yescomplemented
127#90310C2213yescomplemented
128#90310C2213yescomplemented
129#90309C2213yescomplemented
130#90307C2213yescomplemented
131#90307C2216yescomplemented
132#90307C2213yescomplemented
133#90306C2216yescomplemented
134#90306C2216yescomplemented
135#90305C2213yescomplemented
136D7×#121C2213yes—
137D7×#121C2216yes—
138D7×#121C2213yes—
139D7×#121C2213yes—
140D7×#121C2213yes—
141D7×#121C2213yes—
142#90294C2213yescomplemented
143#90292C2216yescomplemented
144#90291C2213yescomplemented
145#90291C2213yescomplemented
146#90290C2213yescomplemented
147#90290C2213yescomplemented
148#90289C2213yescomplemented
149#90289C2213yescomplemented
150#90276C2213yescomplemented
151#90276C2213yescomplemented
152#90273C2213yescomplemented
153#90272C2213yescomplemented
154#90271C2213yescomplemented
155#90271C2213yescomplemented
156#90268C2211yescharacteristic, complemented
157#90267C2211yescharacteristic, complemented
158#90267C2211yescharacteristic, complemented
159#90265C2211yescharacteristic, complemented
160#90265C2211yescharacteristic, complemented
161C4×#1161C2211yescharacteristic, complemented
162C4×#1161C2211yescharacteristic, complemented
163#90263C2211yescharacteristic, complemented
164#90263C2213yescomplemented
165#90263C2213yescomplemented
166#90263C2211yescharacteristic, complemented
167C4×Q8×D7C2211yescharacteristic
168C4×Q8×D7C2211yescharacteristic
169C4×Q8×D7C2211yescharacteristic
170C4×Q8×D7C2213yes—
171C4×Q8×D7C2213yes—
172C4×Q8×D7C2213yes—
173C4×Q8×D7C2211yescharacteristic
174#90261C2211yescharacteristic, complemented
175#90260C2211yescharacteristic, complemented
176#90260C2211yescharacteristic, complemented
177#90258C2213yescomplemented
178#90256C2213yescomplemented
179#90254C2213yescomplemented
180#90254C2213yescomplemented
181#90253C2213yescomplemented
182#90253C2213yescomplemented
183#90252C2213yescomplemented
184#90250C2213yescomplemented
185#90250C2213yescomplemented
186#90250C2216yescomplemented
187#90249C2213yescomplemented
188#90248C2213yescomplemented
189#90248C2213yescomplemented
190#90244C2213yescomplemented
191#90243C2213yescomplemented
192#90243C2213yescomplemented
193#90237C2213yescomplemented
194#90237C2213yescomplemented
195C4×D4×D7C2213yes—
196C4×D4×D7C2213yes—
197C4×D4×D7C2213yes—
198C4×D4×D7C2213yes—
199C4×D4×D7C2213yes—
200C4×D4×D7C2213yes—
201C4×D4×D7C2213yes—
202C4×D4×D7C2216yes—
203#90232C2213yescomplemented
204#90231C2216yescomplemented
205#90229C2213yescomplemented
206#90229C2213yescomplemented
207#90229C2216yescomplemented
208C4×#1159C2213yescomplemented
209C4×#1159C2213yescomplemented
210#90226C2213yescomplemented
211#90225C2213yescomplemented
212#90223C2213yescomplemented
213#90223C2216yescomplemented
214#90223C2213yescomplemented
215#90222C2216yescomplemented
216#90221C2213yescomplemented
217#90220C2213yescomplemented
218#90219C2216yescomplemented
219#90219C2213yescomplemented
220#90219C2213yescomplemented
221#90214C2213yescomplemented
222#90213C2213yescomplemented
223D7×#117C2213yes—
224D7×#117C2216yes—
225D7×#117C2213yes—
226D7×#117C2213yes—
227D7×#117C2213yes—
228#90207C2213yescomplemented
229#90207C2213yescomplemented
230#90205C2213yescomplemented
231#90204C2213yescomplemented
232#90195C2213yescomplemented
233C2×D7×C4⋊C4C2213yes—
234#90170C2213yescomplemented
235#90170C2213yescomplemented
236C4×#1157C2213yescomplemented
237C2×C42×D7C2213yes—
238C2×#3524—71nomaximal, Sylow
239C2×C7×#41C2311yescharacteristic
240C2×C7×#41C2311yescharacteristic
241C22×C7×Q8C2311yescharacteristic
242D7×#41—28no—
243D7×#41—28no—
244C2×#1161C2311yescharacteristic
245C2×#1161C2311yescharacteristic
246C2×Q8×D7—28no—
247C2×Q8×D7C2313yes—
248C2×Q8×D7C2313yes—
249C2×Q8×D7C2311yescharacteristic
250C2×Q8×D7C2313yes—
251C2×Q8×D7C2311yescharacteristic
252C2×#1159C2313yes—
253C2×#1159C2313yes—
254C2×D4×D7C2313yes—
255C2×D4×D7C2313yes—
256C2×D4×D7C2313yes—
257C2×D4×D7C2316yes—
258C2×D4×D7C2313yes—
259C2×D4×D7C2313yes—
260C2×#1157C2313yes—
261C2×#1157C2313yes—
262C22×C4×D7C2313yes—
263C22×C4×D7C2313yes—
264C22×C4×D7C2313yes—
265C22×C4×D7C2313yes—
266C22×C4×D7C2313yes—
267C22×C4×D7C2316yes—
268C22×Dic14C2313yes—
269C7×C4⋊Q8C2313yes—
270C7×#127C2313yes—
271C7×#126C2311yescharacteristic
272C7×#126C2313yes—
273C7×#126C2316yes—
274C7×#125C2313yes—
275C7×#125C2313yes—
276C7×#125C2313yes—
277C7×#124C2313yes—
278C7×#124C2313yes—
279C7×#124C2313yes—
280C7×#124C2316yes—
281C7×#123C2316yes—
282C7×#123C2313yes—
283C7×#123C2313yes—
284C7×#123C2316yes—
285C7×C22⋊Q8C2313yes—
286C7×C22⋊Q8C2313yes—
287C7×C22⋊Q8C2313yes—
288C7×#121C2313yes—
289C7×#121C2313yes—
290C7×#121C2313yes—
291C7×#121C2313yes—
292C7×#121C2313yes—
293C7×#121C2316yes—
294C4×C7×Q8C2313yes—
295C4×C7×Q8C2311yescharacteristic
296C4×C7×Q8C2311yescharacteristic
297C4×C7×Q8C2311yescharacteristic
298C4×C7×Q8C2311yescharacteristic
299C4×C7×Q8C2313yes—
300C4×C7×Q8C2313yes—
301C4×C7×D4C2313yes—
302C4×C7×D4C2313yes—
303C4×C7×D4C2316yes—
304C4×C7×D4C2313yes—
305C4×C7×D4C2313yes—
306C4×C7×D4C2313yes—
307C4×C7×D4C2313yes—
308C4×C7×D4C2313yes—
309C7×#117C2313yes—
310C7×#117C2313yes—
311C7×#117C2313yes—
312C7×#117C2313yes—
313C7×#117C2316yes—
314C2×C7×C4⋊C4C2313yes—
315C2×C42×C7C2313yes—
316#6510C2316yes—
317#6510C2313yes—
318#6510C2313yes—
319#6510C2313yes—
320#6509C2313yes—
321#6509C2313yes—
322#6509C2313yes—
323Q8×Dic7C2313yes—
324Q8×Dic7C2313yes—
325Q8×Dic7C2313yes—
326Q8×Dic7C2311yescharacteristic
327Q8×Dic7C2311yescharacteristic
328Q8×Dic7C2311yescharacteristic
329Q8×Dic7C2311yescharacteristic
330#6507C2316yes—
331#6503C2313yes—
332#6503C2313yes—
333#6503C2316yes—
334#6503C2316yes—
335#6502C2316yes—
336#6502C2316yes—
337#6502C2313yes—
338#6502C2316yes—
339#6502C2313yes—
340#6502C2316yes—
341#6502C2316yes—
342#6502C2316yes—
343#6501C2313yes—
344#6501C2313yes—
345#6501C2313yes—
346#6501C2313yes—
347#6501C2313yes—
348#6501C2316yes—
349#6499C2313yes—
350#6499C2313yes—
351#6499C2316yes—
352#6499C2313yes—
353#6498C2313yes—
354#6498C2316yes—
355#6498C2316yes—
356#6498C2313yes—
357D4×Dic7C2313yes—
358D4×Dic7C2313yes—
359D4×Dic7C2313yes—
360D4×Dic7C2313yes—
361D4×Dic7C2316yes—
362D4×Dic7C2313yes—
363D4×Dic7C2313yes—
364D4×Dic7C2313yes—
365#6493C2313yes—
366#6493C2313yes—
367#6493C2316yes—
368#6493C2313yes—
369#6493C2313yes—
370#6493C2313yes—
371#6492C2313yes—
372#6492C2313yes—
373#6492C2316yes—
374#6492C2316yes—
375C4×C22⋊D7C2316yes—
376C4×C22⋊D7C2316yes—
377C4×C22⋊D7C2313yes—
378C4×C22⋊D7C2313yes—
379C4×C22⋊D7C2316yes—
380C4×C22⋊D7C2316yes—
381C4×C22⋊D7C2316yes—
382C4×C22⋊D7C2313yes—
383C4×C22⋊D7C2313yes—
384C4×C22⋊D7C2316yes—
385C4×C22⋊D7C2313yes—
386C4×C22⋊D7C2313yes—
387#6489C2313yes—
388#6489C2313yes—
389#6489C2316yes—
390#6489C2313yes—
391#6489C2313yes—
392C2×C4⋊Dic7C2313yes—
393#6487C2313yes—
394#6487C2313yes—
395#6487C2313yes—
396C2×Dic7⋊C4C2316yes—
397C2×C4×Dic7C2313yes—
398C2×C4×Dic7C2313yes—
399C2×C4×Dic7C2313yes—
400#6461C2311yescharacteristic
401#6461C2313yes—
402#6461C2313yes—
403#6461C2316yes—
404#6461C2316yes—
405#6461C2316yes—
406#6461C2311yescharacteristic
407#6461C2313yes—
408#6461C2311yescharacteristic
409#6460C2313yes—
410#6460C2313yes—
411#6460C2313yes—
412#6459C2316yes—
413#6459C2316yes—
414#6459C2313yes—
415#6459C2313yes—
416#6458C2313yes—
417#6458C2313yes—
418#6458C2316yes—
419#6458C2313yes—
420#6458C2313yes—
421#6458C2313yes—
422#6457C2316yes—
423#6457C2313yes—
424#6457C2313yes—
425#6457C2316yes—
426#6457C2316yes—
427#6457C2313yes—
428#6457C2316yes—
429#6457C2313yes—
430#6456C2313yes—
431#6456C2316yes—
432#6456C2313yes—
433#6456C2313yes—
434#6456C2313yes—
435#6456C2313yes—
436#6456C2313yes—
437#6456C2313yes—
438#6455C2316yes—
439#6455C2313yes—
440#6455C2313yes—
441#6455C2316yes—
442#6455C2313yes—
443#6455C2313yes—
444#6455C2313yes—
445#6455C2313yes—
446#6455C2313yes—
447#6455C2313yes—
448D7×C4⋊C4C2311yescharacteristic
449D7×C4⋊C4C2313yes—
450D7×C4⋊C4C2316yes—
451D7×C4⋊C4C2313yes—
452D7×C4⋊C4C2313yes—
453D7×C4⋊C4C2313yes—
454D7×C4⋊C4C2313yes—
455D7×C4⋊C4C2313yes—
456D7×C4⋊C4C2313yes—
457D7×C4⋊C4C2313yes—
458D7×C4⋊C4C2313yes—
459D7×C4⋊C4C2316yes—
460D7×C4⋊C4C2313yes—
461D7×C4⋊C4C2311yescharacteristic
462D7×C4⋊C4C2313yes—
463D7×C4⋊C4C2311yescharacteristic
464D7×C4⋊C4C2313yes—
465D7×C4⋊C4C2313yes—
466#6453C2313yes—
467#6453C2313yes—
468#6453C2313yes—
469#6453C2313yes—
470#6453C2313yes—
471#6453C2313yes—
472#6452C2316yes—
473#6452C2316yes—
474#6452C2316yes—
475#6452C2316yes—
476#6452C2313yes—
477#6452C2313yes—
478#6452C2313yes—
479#6452C2313yes—
480#6451C2316yes—
481#6451C2313yes—
482#6451C2313yes—
483#6450C2313yes—
484#6450C2313yes—
485#6450C2313yes—
486#6450C2313yes—
487#6450C2313yes—
488#6450C2313yes—
489#6450C2316yes—
490#6450C2316yes—
491#6450C2313yes—
492#6450C2313yes—
493#6450C2313yes—
494#6449C2313yes—
495#6449C2316yes—
496#6449C2316yes—
497#6449C2313yes—
498#6448C2316yes—
499#6448C2316yes—
500#6448C2316yes—
501#6448C2316yes—
502#6448C2316yes—
503#6448C2313yes—
504#6448C2313yes—
505#6448C2316yes—
506#6448C2316yes—
507#6448C2313yes—
508#6448C2313yes—
509#6448C2316yes—
510#6447C2316yes—
511#6447C2316yes—
512#6447C2316yes—
513#6447C2313yes—
514#6447C2313yes—
515#6447C2316yes—
516#6447C2316yes—
517#6447C2316yes—
518#6446C2313yes—
519#6446C2313yes—
520#6446C2316yes—
521#6446C2313yes—
522#6446C2316yes—
523#6446C2316yes—
524#6446C2316yes—
525#6446C2313yes—
526(C22⋊D7)⋊C4C2313yes—
527(C22⋊D7)⋊C4C2313yes—
528(C22⋊D7)⋊C4C2316yes—
529(C22⋊D7)⋊C4C2313yes—
530(C22⋊D7)⋊C4C2313yes—
531(C22⋊D7)⋊C4C2316yes—
532(C22⋊D7)⋊C4C2316yes—
533(C22⋊D7)⋊C4C2316yes—
534(C22⋊D7)⋊C4C2316yes—
535(C22⋊D7)⋊C4C2313yes—
536(C22⋊D7)⋊C4C2313yes—
537(C22⋊D7)⋊C4C2316yes—
538D7×C22⋊C4C2313yes—
539D7×C22⋊C4C2311yescharacteristic
540D7×C22⋊C4C2313yes—
541D7×C22⋊C4C2313yes—
542D7×C22⋊C4C2316yes—
543D7×C22⋊C4C2311yescharacteristic
544D7×C22⋊C4C2313yes—
545D7×C22⋊C4C2311yescharacteristic
546D7×C22⋊C4C2316yes—
547D7×C22⋊C4C2313yes—
548D7×C22⋊C4C2313yes—
549D7×C22⋊C4C2316yes—
550D7×C22⋊C4C2313yes—
551#6442C2311yescharacteristic
552#6442C2313yes—
553#6442C2313yes—
554#6442C2316yes—
555#6442C2316yes—
556#6442C2311yescharacteristic
557#6442C2313yes—
558#6442C2316yes—
559#6442C2311yescharacteristic
560#6441C2316yes—
561#6441C2316yes—
562#6441C2313yes—
563#6441C2313yes—
564#6440C2313yes—
565#6440C2313yes—
566#6440C2316yes—
567#6440C2313yes—
568#6440C2316yes—
569#6440C2313yes—
570#6440C2316yes—
571#6440C2316yes—
572#6439C2311yescharacteristic
573#6439C2313yes—
574#6439C2316yes—
575#6438C2313yes—
576#6438C2313yes—
577#6438C2316yes—
578#6438C2313yes—
579#6437C2313yes—
580C4×D28C2313yes—
581C4×D28C2313yes—
582C4×D28C2313yes—
583C4×D28C2316yes—
584C4×D28C2313yes—
585C4×D28C2313yes—
586C4×D28C2313yes—
587C4×D28C2313yes—
588#6435C2313yes—
589#6435C2316yes—
590#6435C2316yes—
591#6435C2313yes—
592#6435C2316yes—
593#6435C2316yes—
594#6435C2313yes—
595#6435C2313yes—
596C42×D7C2313yes—
597C42×D7C2313yes—
598C42×D7C2313yes—
599C42×D7C2313yes—
600C42×D7C2313yes—
601C42×D7C2311yescharacteristic
602C42×D7C2316yes—
603C42×D7C2313yes—
604C42×D7C2313yes—
605C42×D7C2313yes—
606C42×D7C2313yes—
607#6433C2313yes—
608#6433C2313yes—
609#6433C2313yes—
610#6432C2313yes—
611C4×Dic14C2313yes—
612C4×Dic14C2313yes—
613C4×Dic14C2313yes—
614C4×Dic14C2316yes—
615C4×Dic14C2313yes—
616C4×Dic14C2313yes—
617C4×Dic14C2313yes—
618C4×Dic14C2313yes—
619C4×Dic14C2316yes—
620C4×Dic14C2313yes—
621C4×Dic14C2313yes—
622#3524—73no—
623#3524—71no—
624#3524—73no—
625#3524—73no—
626#3524—73no—
627#3524—71no—
628#3524—71no—
629#3524—71no—
630#3524—73no—
631#3524—73no—
632#3524—73no—
633#3524—73no—
634#3524—71no—
635#3524—71no—
636#3524—71no—
637#3524D711yescharacteristic, direct product factor
638C2×#559—73no—
639C2×#557—71no—
640C2×#555—73no—
641C2×#553—73no—
642C2×#552—73no—
643C2×#550—71no—
644C2×#548—71no—
645C2×#548—71no—
646C2×#542—73no—
647C2×#540—73no—
648C2×#529—73no—
649C2×#529—73no—
650C2×#520—71no—
651C2×#519—71no—
652C2×C4×#41—71no—
653C23×D7C2411yescharacteristic
654C23×D7C2413yes—
655C23×D7C2413yes—
656C7×#41—24no—
657C7×#41—24no—
658C2×C7×Q8—24no—
659C2×C7×Q8C2413yes—
660C2×C7×Q8C2413yes—
661C2×C7×Q8C2411yescharacteristic
662C2×C7×D4C2413yes—
663C2×C7×D4C2413yes—
664C2×C7×D4C2413yes—
665C2×C7×D4C2416yes—
666C2×C7×D4C2413yes—
667C2×C7×D4C2413yes—
668C22×C4×C7C2413yes—
669C22×C4×C7C2413yes—
670C22×C4×C7C2413yes—
671C22×C4×C7C2413yes—
672C22×C4×C7C2413yes—
673C22×C4×C7C2416yes—
674C2×C22⋊D7C2416yes—
675C2×C22⋊D7C2416yes—
676C2×C22⋊D7C2413yes—
677C2×C22⋊D7C2413yes—
678C2×C22⋊D7C2416yes—
679C2×C22⋊D7C2413yes—
680C2×C22⋊D7C2413yes—
681C2×C22⋊D7C2413yes—
682C2×C22⋊D7C2413yes—
683C2×C22⋊D7C2416yes—
684C22×Dic7C2413yes—
685C22×Dic7C2413yes—
686C22×Dic7C2413yes—
687C22×Dic7C2416yes—
688C22×Dic7C2413yes—
689C22×Dic7C2413yes—
690#1161—24no—
691#1161—24no—
692Q8×D7—24no—
693Q8×D7—212no—
694Q8×D7—212no—
695Q8×D7—46no—
696Q8×D7#4118yes—
697#1159—212no—
698#1159—212no—
699D4×D7—212no—
700D4×D7—212no—
701D4×D7—46no—
702D4×D7—46no—
703D4×D7—46no—
704D4×D7—412no—
705#1157—212no—
706#1157—212no—
707C2×D28C2413yes—
708C2×D28C2413yes—
709C2×D28C2413yes—
710C2×D28C2416yes—
711C2×D28C2413yes—
712C2×D28C2413yes—
713C2×C4×D7—212no—
714C2×C4×D7—212no—
715C2×C4×D7—212no—
716C2×C4×D7—46no—
717C2×C4×D7—412no—
718C2×C4×D7—46no—
719C2×C4×D7C2411yescharacteristic
720C2×C4×D7C2413yes—
721C2×C4×D7C2411yescharacteristic
722C2×C4×D7C2411yescharacteristic
723C2×C4×D7C2411yescharacteristic
724C2×C4×D7C2413yes—
725C2×C4×D7C2411yescharacteristic
726C2×C4×D7C2413yes—
727C2×C4×D7C2413yes—
728C2×C4×D7C2413yes—
729C2×C4×D7C2413yes—
730C2×C4×D7C2413yes—
731C2×C4×D7C2413yes—
732C2×C4×D7C2413yes—
733C2×C4×D7C2413yes—
734C2×C4×D7C2411yescharacteristic
735C2×C4×D7C2413yes—
736C2×C4×D7C2413yes—
737C2×C4×D7C2413yes—
738C2×C4×D7C2413yes—
739C2×C4×D7C2413yes—
740C2×C4×D7C2416yes—
741C2×C4×D7C2416yes—
742C2×C4×D7C2413yes—
743C2×Dic14—212no—
744C2×Dic14C2413yes—
745C2×Dic14C2416yes—
746C2×Dic14C2413yes—
747C2×Dic14C2413yes—
748C2×Dic14C2413yes—
749C2×Dic14C2413yes—
750C7×C4⋊C4C2411yescharacteristic
751C7×C4⋊C4C2413yes—
752C7×C4⋊C4C2413yes—
753C7×C4⋊C4C2413yes—
754C7×C4⋊C4C2413yes—
755C7×C4⋊C4C2413yes—
756C7×C4⋊C4C2413yes—
757C7×C4⋊C4C2413yes—
758C7×C4⋊C4C2413yes—
759C7×C4⋊C4C2416yes—
760C7×C4⋊C4C2411yescharacteristic
761C7×C4⋊C4C2413yes—
762C7×C4⋊C4C2413yes—
763C7×C4⋊C4C2413yes—
764C7×C4⋊C4C2411yescharacteristic
765C7×C22⋊C4C2411yescharacteristic
766C7×C22⋊C4C2413yes—
767C7×C22⋊C4C2413yes—
768C7×C22⋊C4C2416yes—
769C7×C22⋊C4C2413yes—
770C7×C22⋊C4C2416yes—
771C7×C22⋊C4C2413yes—
772C7×C22⋊C4C2413yes—
773C7×C22⋊C4C2416yes—
774C7×C22⋊C4C2413yes—
775C7×C22⋊C4C2411yescharacteristic
776C7×C22⋊C4C2413yes—
777C7×C22⋊C4C2411yescharacteristic
778C42×C7C2413yes—
779C42×C7C2413yes—
780C42×C7C2413yes—
781C42×C7C2413yes—
782C42×C7C2416yes—
783C42×C7C2413yes—
784C42×C7C2411yescharacteristic
785C22⋊Dic7C2411yescharacteristic
786C22⋊Dic7C2413yes—
787C22⋊Dic7C2413yes—
788C22⋊Dic7C2416yes—
789C22⋊Dic7C2413yes—
790C22⋊Dic7C2416yes—
791C22⋊Dic7C2413yes—
792C22⋊Dic7C2413yes—
793C22⋊Dic7C2416yes—
794C22⋊Dic7C2413yes—
795C22⋊Dic7C2411yescharacteristic
796C22⋊Dic7C2413yes—
797C22⋊Dic7C2411yescharacteristic
798(C2×D7)⋊C4C2413yes—
799(C2×D7)⋊C4C2411yescharacteristic
800(C2×D7)⋊C4C2413yes—
801(C2×D7)⋊C4C2411yescharacteristic
802(C2×D7)⋊C4C2413yes—
803(C2×D7)⋊C4C2413yes—
804(C2×D7)⋊C4C2413yes—
805(C2×D7)⋊C4C2413yes—
806(C2×D7)⋊C4C2416yes—
807(C2×D7)⋊C4C2416yes—
808(C2×D7)⋊C4C2413yes—
809(C2×D7)⋊C4C2416yes—
810(C2×D7)⋊C4C2416yes—
811(C2×D7)⋊C4C2413yes—
812(C2×D7)⋊C4C2411yescharacteristic
813(C2×D7)⋊C4C2411yescharacteristic
814(C2×D7)⋊C4C2413yes—
815(C2×D7)⋊C4C2413yes—
816(C2×D7)⋊C4C2413yes—
817(C2×D7)⋊C4C2413yes—
818(C2×D7)⋊C4C2416yes—
819(C2×D7)⋊C4C2411yescharacteristic
820(C2×D7)⋊C4C2413yes—
821(C2×D7)⋊C4C2416yes—
822(C2×D7)⋊C4C2413yes—
823(C2×D7)⋊C4C2411yescharacteristic
824C4⋊Dic7C2411yescharacteristic
825C4⋊Dic7C2413yes—
826C4⋊Dic7C2413yes—
827C4⋊Dic7C2413yes—
828C4⋊Dic7C2413yes—
829C4⋊Dic7C2413yes—
830C4⋊Dic7C2413yes—
831C4⋊Dic7C2413yes—
832C4⋊Dic7C2413yes—
833C4⋊Dic7C2416yes—
834C4⋊Dic7C2413yes—
835C4⋊Dic7C2411yescharacteristic
836C4⋊Dic7C2413yes—
837C4⋊Dic7C2411yescharacteristic
838C4⋊Dic7C2413yes—
839Dic7⋊C4C2411yescharacteristic
840Dic7⋊C4C2411yescharacteristic
841Dic7⋊C4C2413yes—
842Dic7⋊C4C2416yes—
843Dic7⋊C4C2413yes—
844Dic7⋊C4C2413yes—
845Dic7⋊C4C2416yes—
846Dic7⋊C4C2413yes—
847Dic7⋊C4C2413yes—
848Dic7⋊C4C2413yes—
849Dic7⋊C4C2416yes—
850Dic7⋊C4C2416yes—
851Dic7⋊C4C2413yes—
852Dic7⋊C4C2413yes—
853Dic7⋊C4C2411yescharacteristic
854Dic7⋊C4C2413yes—
855Dic7⋊C4C2413yes—
856Dic7⋊C4C2416yes—
857Dic7⋊C4C2416yes—
858Dic7⋊C4C2411yescharacteristic
859Dic7⋊C4C2411yescharacteristic
860Dic7⋊C4C2413yes—
861Dic7⋊C4C2413yes—
862Dic7⋊C4C2413yes—
863Dic7⋊C4C2413yes—
864Dic7⋊C4C2411yescharacteristic
865C4×Dic7C2413yes—
866C4×Dic7C2413yes—
867C4×Dic7C2413yes—
868C4×Dic7C2413yes—
869C4×Dic7C2416yes—
870C4×Dic7C2413yes—
871C4×Dic7C2413yes—
872C4×Dic7C2416yes—
873C4×Dic7C2413yes—
874C4×Dic7C2413yes—
875C4×Dic7C2413yes—
876C4×Dic7C2411yescharacteristic
877C4×Dic7C2411yescharacteristic
878C4×Dic7C2411yescharacteristic
879C4×Dic7C2413yes—
880C4×Dic7C2413yes—
881C4×Dic7C2413yes—
882C4×Dic7C2413yes—
883C4×Dic7C2413yes—
884C4×Dic7C2416yes—
885C4×Dic7C2413yes—
886C22×#41—71no—
887C22×#41—71no—
888C23×Q8—71no—
889#559—73no—
890#559—73no—
891#559—73no—
892#559—76no—
893#559—76no—
894#559—76no—
895#559—73no—
896#559—73no—
897#559—76no—
898#559—73no—
899#559—73no—
900#559C2×D713yescomplemented
901#557—73no—
902#557—73no—
903#557—73no—
904#557—73no—
905#557—71no—
906#557—71no—
907#557—71no—
908#557C2×D711yescharacteristic, complemented
909#555—73no—
910#555—76no—
911#555—76no—
912#555—73no—
913#555—73no—
914#555—76no—
915#555—73no—
916#555—73no—
917#555—73no—
918#555—73no—
919#555—76no—
920#555C2×D713yescomplemented
921#553—76no—
922#553—73no—
923#553—76no—
924#553—76no—
925#553—73no—
926#553—73no—
927#553—76no—
928#553—73no—
929#553—73no—
930#553—73no—
931#553—73no—
932#553C2×D713yescomplemented
933#552—76no—
934#552—76no—
935#552—73no—
936#552—76no—
937#552—73no—
938#552—73no—
939#552—73no—
940#552—73no—
941#552—73no—
942#552—76no—
943#552—73no—
944#552C2×D713yescomplemented
945#550—71no—
946#550—71no—
947#550—73no—
948#550—73no—
949#550—73no—
950#550—71no—
951#550—73no—
952#550C2×D711yescharacteristic, complemented
953#548—71no—
954#548—71no—
955#548—71no—
956#548—71no—
957#548—73no—
958#548—73no—
959#548—73no—
960#548—73no—
961#548—73no—
962#548—73no—
963#548—71no—
964#548—71no—
965#548—73no—
966#548—73no—
967#548C2×D711yescharacteristic, complemented
968#548C2×D711yescharacteristic, complemented
969#542—73no—
970#542—76no—
971#542—73no—
972#542—76no—
973#542—76no—
974#542—76no—
975#542—73no—
976#542—73no—
977#542—73no—
978#542—73no—
979#542—73no—
980#542C2×D713yescomplemented
981#540—73no—
982#540—73no—
983#540—76no—
984#540—76no—
985#540—76no—
986#540—76no—
987#540—73no—
988#540—73no—
989#540—73no—
990#540—73no—
991#540—73no—
992#540C2×D713yescomplemented
993C2×C4⋊Q8—73no—
994C2×#127—73no—
995#529—73no—
996#529—73no—
997#529—76no—
998#529—73no—
999#529—73no—
1000#529—73no—
1001#529—73no—
1002#529—73no—
1003#529—73no—
1004#529—76no—
1005#529—73no—
1006#529—73no—
1007#529—73no—
1008#529—73no—
1009#529—73no—
1010#529—73no—
1011#529—73no—
1012#529—73no—
1013#529—76no—
1014#529—73no—
1015#529—73no—
1016#529—73no—
1017#529—73no—
1018#529—76no—
1019#529—73no—
1020#529—73no—
1021#529C2×D713yescomplemented
1022#529C2×D713yescomplemented
1023C2×#126—71no—
1024C2×#126—73no—
1025C2×#126—76no—
1026C2×#125—73no—
1027C2×#125—73no—
1028C2×#125—73no—
1029C2×#124—73no—
1030C2×#124—73no—
1031C2×#124—73no—
1032C2×#124—76no—
1033C2×#123—76no—
1034C2×#123—73no—
1035C2×#123—73no—
1036C2×#123—76no—
1037C2×C22⋊Q8—73no—
1038C2×C22⋊Q8—73no—
1039C2×C22⋊Q8—73no—
1040C2×#121—73no—
1041C2×#121—73no—
1042C2×#121—73no—
1043C2×#121—73no—
1044C2×#121—76no—
1045C2×#121—73no—
1046#520—71no—
1047#520—71no—
1048#520—71no—
1049#520—73no—
1050#520—73no—
1051#520—73no—
1052#520—73no—
1053#520C2×D711yescharacteristic, complemented
1054#519—71no—
1055#519—73no—
1056#519—73no—
1057#519—71no—
1058#519—71no—
1059#519—73no—
1060#519—73no—
1061#519C2×D711yescharacteristic, complemented
1062C4×#41—71no—
1063C4×#41—71no—
1064C4×#41—71no—
1065C4×#41—73no—
1066C4×#41—73no—
1067C4×#41—73no—
1068C4×#41—73no—
1069C4×#41C2×D711yescharacteristic, complemented
1070C2×C4×Q8—71no—
1071C2×C4×Q8—71no—
1072C2×C4×Q8—73no—
1073C2×C4×Q8—71no—
1074C2×C4×Q8—73no—
1075C2×C4×Q8—71no—
1076C2×C4×Q8—73no—
1077C2×C4×D4—73no—
1078C2×C4×D4—73no—
1079C2×C4×D4—73no—
1080C2×C4×D4—73no—
1081C2×C4×D4—73no—
1082C2×C4×D4—73no—
1083C2×C4×D4—73no—
1084C2×C4×D4—76no—
1085C2×#117—73no—
1086C2×#117—73no—
1087C2×#117—73no—
1088C2×#117—73no—
1089C2×#117—76no—
1090C22×C4⋊C4—73no—
1091C22×C42—73no—
1092C23×C7C2511yescharacteristic
1093C23×C7C2513yes—
1094C23×C7C2513yes—
1095C22×D7—22no—
1096C22×D7—26no—
1097C22×D7—26no—
1098C22×D7—26no—
1099C22×D7—26no—
1100C22×D7—26no—
1101C22×D7—22no—
1102C22×D7—22no—
1103C22×D7—26no—
1104C22×D7C2511yescharacteristic
1105C22×D7C2513yes—
1106C22×D7C2513yes—
1107C22×D7C2511yescharacteristic
1108C7×Q8—26no—
1109C7×Q8—43no—
1110C7×Q8C2×#4114yes—
1111C7×D4—26no—
1112C7×D4—26no—
1113C7×D4—43no—
1114C7×D4—46no—
1115C7×D4—43no—
1116C7×D4—43no—
1117C2×C4×C7—26no—
1118C2×C4×C7—26no—
1119C2×C4×C7—26no—
1120C2×C4×C7—43no—
1121C2×C4×C7—43no—
1122C2×C4×C7—46no—
1123C2×C4×C7C2511yescharacteristic
1124C2×C4×C7C2511yescharacteristic
1125C2×C4×C7C2513yes—
1126C2×C4×C7C2511yescharacteristic
1127C2×C4×C7C2511yescharacteristic
1128C2×C4×C7C2513yes—
1129C2×C4×C7C2511yescharacteristic
1130C2×C4×C7C2513yes—
1131C2×C4×C7C2513yes—
1132C2×C4×C7C2513yes—
1133C2×C4×C7C2511yescharacteristic
1134C2×C4×C7C2513yes—
1135C22⋊D7—212no—
1136C22⋊D7—212no—
1137C22⋊D7—43no—
1138C22⋊D7—43no—
1139C22⋊D7—46no—
1140C22⋊D7—46no—
1141C22⋊D7—43no—
1142C22⋊D7—43no—
1143C22⋊D7—43no—
1144C22⋊D7—43no—
1145C2×Dic7—26no—
1146C2×Dic7—26no—
1147C2×Dic7—26no—
1148C2×Dic7—43no—
1149C2×Dic7—43no—
1150C2×Dic7—46no—
1151C2×Dic7C2511yescharacteristic
1152C2×Dic7C2511yescharacteristic
1153C2×Dic7C2513yes—
1154C2×Dic7C2511yescharacteristic
1155C2×Dic7C2511yescharacteristic
1156C2×Dic7C2513yes—
1157C2×Dic7C2511yescharacteristic
1158C2×Dic7C2513yes—
1159C2×Dic7C2513yes—
1160C2×Dic7C2513yes—
1161C2×Dic7C2511yescharacteristic
1162C2×Dic7C2513yes—
1163D28—26no—
1164D28—26no—
1165D28—43no—
1166D28—46no—
1167D28—43no—
1168D28—43no—
1169C4×D7—22no—
1170C4×D7—22no—
1171C4×D7—26no—
1172C4×D7—22no—
1173C4×D7—26no—
1174C4×D7—22no—
1175C4×D7—26no—
1176C4×D7—26no—
1177C4×D7—22no—
1178C4×D7—26no—
1179C4×D7—22no—
1180C4×D7—26no—
1181C4×D7—26no—
1182C4×D7—26no—
1183C4×D7—26no—
1184C4×D7—26no—
1185C4×D7—26no—
1186C4×D7—43no—
1187C4×D7—43no—
1188C4×D7—43no—
1189C4×D7—43no—
1190C4×D7—46no—
1191C4×D7—46no—
1192C4×D7C2×#41112yes—
1193Dic14—26no—
1194Dic14—212no—
1195Dic14—43no—
1196Dic14—43no—
1197Dic14—43no—
1198Dic14C2×#41112yes—
1199C2×#41—71no—
1200C2×#41—71no—
1201C2×#41—73no—
1202C2×#41—73no—
1203C2×#41—73no—
1204C2×#41—73no—
1205C2×#41—148no—
1206C2×#41—148no—
1207C2×#41C22×D711yescharacteristic
1208C2×#41C22×D711yescharacteristic
1209C22×Q8—71no—
1210C22×Q8—73no—
1211C22×Q8—73no—
1212C22×Q8—71no—
1213C22×Q8—73no—
1214C22×Q8—73no—
1215C22×Q8—148no—
1216C22×Q8C22×D711yescharacteristic
1217C22×D4—73no—
1218C22×D4—73no—
1219C22×D4—73no—
1220C22×D4—73no—
1221C22×D4—76no—
1222C22×D4—73no—
1223C23×C4—73no—
1224C23×C4—73no—
1225C23×C4—73no—
1226C23×C4—76no—
1227C23×C4—73no—
1228C23×C4—73no—
1229C4⋊Q8—76no—
1230C4⋊Q8—76no—
1231C4⋊Q8—73no—
1232C4⋊Q8—73no—
1233C4⋊Q8—73no—
1234C4⋊Q8C22×D713yes—
1235#127—76no—
1236#127—76no—
1237#127—73no—
1238#127—73no—
1239#127—73no—
1240#127C22×D713yes—
1241#126—71no—
1242#126—71no—
1243#126—71no—
1244#126—73no—
1245#126—73no—
1246#126—73no—
1247#126—76no—
1248#126—76no—
1249#126—76no—
1250#126—71no—
1251#126—71no—
1252#126—73no—
1253#126—73no—
1254#126—73no—
1255#126—71no—
1256#126—76no—
1257#126—76no—
1258#126—76no—
1259#126—71no—
1260#126—73no—
1261#126—76no—
1262#126C22×D711yescharacteristic
1263#126C22×D713yes—
1264#126C22×D716yes—
1265#125—73no—
1266#125—73no—
1267#125—73no—
1268#125—73no—
1269#125—73no—
1270#125—73no—
1271#125—76no—
1272#125—76no—
1273#125—73no—
1274#125—73no—
1275#125—76no—
1276#125—76no—
1277#125—73no—
1278#125—73no—
1279#125—73no—
1280#125—73no—
1281#125—73no—
1282#125C22×D713yes—
1283#125C22×D713yes—
1284#125C22×D713yes—
1285#124—73no—
1286#124—73no—
1287#124—73no—
1288#124—76no—
1289#124—73no—
1290#124—73no—
1291#124—73no—
1292#124—76no—
1293#124—76no—
1294#124—76no—
1295#124—73no—
1296#124—73no—
1297#124—73no—
1298#124—73no—
1299#124—76no—
1300#124—76no—
1301#124—76no—
1302#124—76no—
1303#124—76no—
1304#124—76no—
1305#124—73no—
1306#124—73no—
1307#124—73no—
1308#124—76no—
1309#124C22×D713yes—
1310#124C22×D713yes—
1311#124C22×D713yes—
1312#124C22×D716yes—
1313#123—76no—
1314#123—73no—
1315#123—73no—
1316#123—76no—
1317#123—76no—
1318#123—73no—
1319#123—73no—
1320#123—76no—
1321#123—76no—
1322#123—76no—
1323#123—73no—
1324#123—73no—
1325#123—73no—
1326#123—73no—
1327#123—76no—
1328#123—76no—
1329#123—76no—
1330#123—76no—
1331#123—76no—
1332#123—73no—
1333#123—73no—
1334#123—73no—
1335#123—73no—
1336#123—73no—
1337#123—73no—
1338#123—76no—
1339#123—76no—
1340#123—76no—
1341#123C22×D716yes—
1342#123C22×D713yes—
1343#123C22×D713yes—
1344#123C22×D716yes—
1345C22⋊Q8—73no—
1346C22⋊Q8—73no—
1347C22⋊Q8—73no—
1348C22⋊Q8—73no—
1349C22⋊Q8—73no—
1350C22⋊Q8—73no—
1351C22⋊Q8—73no—
1352C22⋊Q8—73no—
1353C22⋊Q8—73no—
1354C22⋊Q8—76no—
1355C22⋊Q8—73no—
1356C22⋊Q8—76no—
1357C22⋊Q8—73no—
1358C22⋊Q8—73no—
1359C22⋊Q8—73no—
1360C22⋊Q8—76no—
1361C22⋊Q8—76no—
1362C22⋊Q8C22×D713yes—
1363C22⋊Q8C22×D713yes—
1364C22⋊Q8C22×D713yes—
1365#121—73no—
1366#121—73no—
1367#121—73no—
1368#121—73no—
1369#121—76no—
1370#121—73no—
1371#121—76no—
1372#121—73no—
1373#121—76no—
1374#121—76no—
1375#121—76no—
1376#121—76no—
1377#121—73no—
1378#121—76no—
1379#121—73no—
1380#121—73no—
1381#121—73no—
1382#121—73no—
1383#121—76no—
1384#121—73no—
1385#121—73no—
1386#121—73no—
1387#121—73no—
1388#121—73no—
1389#121—76no—
1390#121—73no—
1391#121—73no—
1392#121—73no—
1393#121—76no—
1394#121—76no—
1395#121—76no—
1396#121—76no—
1397#121—76no—
1398#121—76no—
1399#121C22×D713yes—
1400#121C22×D713yes—
1401#121C22×D713yes—
1402#121C22×D713yes—
1403#121C22×D716yes—
1404#121C22×D713yes—
1405C4×Q8—71no—
1406C4×Q8—71no—
1407C4×Q8—73no—
1408C4×Q8—71no—
1409C4×Q8—73no—
1410C4×Q8—71no—
1411C4×Q8—73no—
1412C4×Q8—73no—
1413C4×Q8—73no—
1414C4×Q8—76no—
1415C4×Q8—73no—
1416C4×Q8—73no—
1417C4×Q8—76no—
1418C4×Q8—73no—
1419C4×Q8—73no—
1420C4×Q8—73no—
1421C4×Q8—73no—
1422C4×Q8—73no—
1423C4×Q8—73no—
1424C4×Q8—73no—
1425C4×Q8—76no—
1426C4×Q8—73no—
1427C4×Q8—73no—
1428C4×Q8—73no—
1429C4×Q8—76no—
1430C4×Q8—73no—
1431C4×Q8—73no—
1432C4×Q8—73no—
1433C4×Q8—73no—
1434C4×Q8C22×D711yescharacteristic
1435C4×Q8C22×D711yescharacteristic
1436C4×Q8C22×D713yes—
1437C4×Q8C22×D711yescharacteristic
1438C4×Q8C22×D713yes—
1439C4×Q8C22×D711yescharacteristic
1440C4×Q8C22×D713yes—
1441C4×D4—73no—
1442C4×D4—73no—
1443C4×D4—73no—
1444C4×D4—73no—
1445C4×D4—73no—
1446C4×D4—73no—
1447C4×D4—73no—
1448C4×D4—76no—
1449C4×D4—76no—
1450C4×D4—76no—
1451C4×D4—76no—
1452C4×D4—76no—
1453C4×D4—73no—
1454C4×D4—73no—
1455C4×D4—73no—
1456C4×D4—73no—
1457C4×D4—73no—
1458C4×D4—73no—
1459C4×D4—76no—
1460C4×D4—76no—
1461C4×D4—73no—
1462C4×D4—73no—
1463C4×D4—73no—
1464C4×D4—73no—
1465C4×D4—73no—
1466C4×D4—73no—
1467C4×D4—73no—
1468C4×D4—76no—
1469C4×D4—76no—
1470C4×D4—76no—
1471C4×D4—76no—
1472C4×D4—76no—
1473C4×D4—73no—
1474C4×D4—73no—
1475C4×D4—73no—
1476C4×D4—73no—
1477C4×D4—73no—
1478C4×D4—73no—
1479C4×D4—76no—
1480C4×D4—76no—
1481C4×D4—73no—
1482C4×D4—73no—
1483C4×D4—73no—
1484C4×D4—73no—
1485C4×D4—73no—
1486C4×D4—73no—
1487C4×D4—73no—
1488C4×D4—76no—
1489C4×D4C22×D713yes—
1490C4×D4C22×D713yes—
1491C4×D4C22×D713yes—
1492C4×D4C22×D713yes—
1493C4×D4C22×D713yes—
1494C4×D4C22×D713yes—
1495C4×D4C22×D713yes—
1496C4×D4C22×D716yes—
1497#117—73no—
1498#117—73no—
1499#117—73no—
1500#117—73no—
1501#117—76no—
1502#117—73no—
1503#117—73no—
1504#117—73no—
1505#117—73no—
1506#117—73no—
1507#117—73no—
1508#117—73no—
1509#117—73no—
1510#117—76no—
1511#117—76no—
1512#117—76no—
1513#117—73no—
1514#117—73no—
1515#117—76no—
1516#117—73no—
1517#117—73no—
1518#117—76no—
1519#117—76no—
1520#117—76no—
1521#117—73no—
1522#117—73no—
1523#117—76no—
1524#117—73no—
1525#117—73no—
1526#117—76no—
1527#117—76no—
1528#117C22×D713yes—
1529#117C22×D713yes—
1530#117C22×D713yes—
1531#117C22×D713yes—
1532#117C22×D716yes—
1533C2×C4⋊C4—76no—
1534C2×C4⋊C4—73no—
1535C2×C4⋊C4—73no—
1536C2×C4⋊C4—73no—
1537C2×C4⋊C4—73no—
1538C2×C4⋊C4—73no—
1539C2×C4⋊C4—73no—
1540C2×C4⋊C4—76no—
1541C2×C4⋊C4—71no—
1542C2×C4⋊C4—73no—
1543C2×C4⋊C4—73no—
1544C2×C4⋊C4—73no—
1545C2×C4⋊C4—73no—
1546C2×C4⋊C4—73no—
1547C2×C4⋊C4—76no—
1548C2×C4⋊C4—71no—
1549C2×C4⋊C4—73no—
1550C2×C4⋊C4—73no—
1551C2×C4⋊C4—71no—
1552C2×C4⋊C4—73no—
1553C2×C4⋊C4C22×D713yes—
1554C2×C22⋊C4—71no—
1555C2×C22⋊C4—73no—
1556C2×C22⋊C4—73no—
1557C2×C22⋊C4—73no—
1558C2×C22⋊C4—76no—
1559C2×C22⋊C4—73no—
1560C2×C22⋊C4—76no—
1561C2×C22⋊C4—71no—
1562C2×C22⋊C4—73no—
1563C2×C22⋊C4—71no—
1564C2×C22⋊C4—73no—
1565C2×C22⋊C4—76no—
1566C2×C22⋊C4—73no—
1567C2×C42—73no—
1568C2×C42—73no—
1569C2×C42—73no—
1570C2×C42—73no—
1571C2×C42—73no—
1572C2×C42—76no—
1573C2×C42—73no—
1574C2×C42—73no—
1575C2×C42—73no—
1576C2×C42—73no—
1577C2×C42—73no—
1578C2×C42—73no—
1579C2×C42—73no—
1580C2×C42—71no—
1581C2×C42C22×D713yes—
1582C22×C7—21no—
1583C22×C7—23no—
1584C22×C7—23no—
1585C22×C7—23no—
1586C22×C7—23no—
1587C22×C7—23no—
1588C22×C7—21no—
1589C22×C7—21no—
1590C22×C7—23no—
1591C22×C7C2611yescharacteristic
1592C2×D7—21no—
1593C2×D7—23no—
1594C2×D7—23no—
1595C2×D7—23no—
1596C2×D7—23no—
1597C2×D7—23no—
1598C2×D7—21no—
1599C2×D7—21no—
1600C2×D7—23no—
1601C2×D7—44no—
1602C2×D7—412no—
1603C2×D7—412no—
1604C2×D7C22×#4112yes—
1605C2×D7#58512yes—
1606C2×D7#58512yes—
1607C4×C7—23no—
1608C4×C7—21no—
1609C4×C7—21no—
1610C4×C7—21no—
1611C4×C7—23no—
1612C4×C7—23no—
1613C4×C7—21no—
1614C4×C7—21no—
1615C4×C7—23no—
1616C4×C7—23no—
1617C4×C7—21no—
1618C4×C7C22×#4116yes—
1619Dic7—23no—
1620Dic7—21no—
1621Dic7—21no—
1622Dic7—21no—
1623Dic7—23no—
1624Dic7—23no—
1625Dic7—21no—
1626Dic7—21no—
1627Dic7—23no—
1628Dic7—23no—
1629Dic7—21no—
1630Dic7C22×#4116yes—
1631C24—71no—
1632C24—73no—
1633C24—73no—
1634#41—24no—
1635#41—24no—
1636#41—1412no—
1637#41—1412no—
1638#41—1412no—
1639#41—1412no—
1640#41—144no—
1641#41—144no—
1642C2×Q8—24no—
1643C2×Q8—78no—
1644C2×Q8—73no—
1645C2×Q8—76no—
1646C2×Q8—73no—
1647C2×Q8—73no—
1648C2×Q8—73no—
1649C2×Q8—73no—
1650C2×Q8—1412no—
1651C2×Q8—1412no—
1652C2×Q8—1412no—
1653C2×Q8—144no—
1654C2×Q8—286no—
1655C2×Q8C23×D713yes—
1656C2×Q8C23×D713yes—
1657C2×Q8C23×D711yescharacteristic
1658C2×D4—76no—
1659C2×D4—76no—
1660C2×D4—73no—
1661C2×D4—73no—
1662C2×D4—73no—
1663C2×D4—73no—
1664C2×D4—76no—
1665C2×D4—76no—
1666C2×D4—73no—
1667C2×D4—73no—
1668C2×D4—73no—
1669C2×D4—73no—
1670C2×D4—73no—
1671C2×D4—73no—
1672C2×D4—76no—
1673C2×D4—73no—
1674C2×D4—1412no—
1675C2×D4—1412no—
1676C2×D4—286no—
1677C2×D4—286no—
1678C2×D4—286no—
1679C2×D4—2812no—
1680C2×D4C23×D713yes—
1681C2×D4C23×D713yes—
1682C2×D4C23×D713yes—
1683C2×D4C23×D713yes—
1684C2×D4C23×D716yes—
1685C2×D4C23×D713yes—
1686C22×C4—73no—
1687C22×C4—73no—
1688C22×C4—73no—
1689C22×C4—73no—
1690C22×C4—73no—
1691C22×C4—73no—
1692C22×C4—76no—
1693C22×C4—71no—
1694C22×C4—73no—
1695C22×C4—71no—
1696C22×C4—71no—
1697C22×C4—71no—
1698C22×C4—73no—
1699C22×C4—71no—
1700C22×C4—73no—
1701C22×C4—73no—
1702C22×C4—73no—
1703C22×C4—73no—
1704C22×C4—73no—
1705C22×C4—71no—
1706C22×C4—73no—
1707C22×C4—73no—
1708C22×C4—73no—
1709C22×C4—73no—
1710C22×C4—73no—
1711C22×C4—73no—
1712C22×C4—73no—
1713C22×C4—73no—
1714C22×C4—76no—
1715C22×C4—76no—
1716C22×C4—1412no—
1717C22×C4—1412no—
1718C22×C4—1412no—
1719C22×C4—286no—
1720C22×C4—2812no—
1721C22×C4—286no—
1722C22×C4C23×D713yes—
1723C22×C4C23×D713yes—
1724C22×C4C23×D713yes—
1725C22×C4C23×D713yes—
1726C22×C4C23×D713yes—
1727C22×C4C23×D716yes—
1728C4⋊C4—73no—
1729C4⋊C4—73no—
1730C4⋊C4—76no—
1731C4⋊C4—76no—
1732C4⋊C4—71no—
1733C4⋊C4—71no—
1734C4⋊C4—73no—
1735C4⋊C4—73no—
1736C4⋊C4—76no—
1737C4⋊C4—76no—
1738C4⋊C4—73no—
1739C4⋊C4—73no—
1740C4⋊C4—73no—
1741C4⋊C4—73no—
1742C4⋊C4—76no—
1743C4⋊C4—76no—
1744C4⋊C4—71no—
1745C4⋊C4—71no—
1746C4⋊C4—73no—
1747C4⋊C4—73no—
1748C4⋊C4—73no—
1749C4⋊C4—73no—
1750C4⋊C4—71no—
1751C4⋊C4—71no—
1752C4⋊C4—73no—
1753C4⋊C4—73no—
1754C4⋊C4—73no—
1755C4⋊C4—73no—
1756C4⋊C4—73no—
1757C4⋊C4—71no—
1758C4⋊C4—73no—
1759C4⋊C4—73no—
1760C4⋊C4—73no—
1761C4⋊C4—73no—
1762C4⋊C4—73no—
1763C4⋊C4—76no—
1764C4⋊C4—71no—
1765C4⋊C4—73no—
1766C4⋊C4—73no—
1767C4⋊C4—71no—
1768C4⋊C4—73no—
1769C4⋊C4C23×D713yes—
1770C4⋊C4C23×D713yes—
1771C4⋊C4C23×D713yes—
1772C4⋊C4C23×D711yescharacteristic
1773C4⋊C4C23×D713yes—
1774C4⋊C4C23×D713yes—
1775C4⋊C4C23×D713yes—
1776C4⋊C4C23×D713yes—
1777C4⋊C4C23×D713yes—
1778C4⋊C4C23×D716yes—
1779C4⋊C4C23×D711yescharacteristic
1780C4⋊C4C23×D713yes—
1781C4⋊C4C23×D713yes—
1782C4⋊C4C23×D711yescharacteristic
1783C4⋊C4C23×D713yes—
1784C22⋊C4—71no—
1785C22⋊C4—73no—
1786C22⋊C4—73no—
1787C22⋊C4—73no—
1788C22⋊C4—76no—
1789C22⋊C4—73no—
1790C22⋊C4—76no—
1791C22⋊C4—71no—
1792C22⋊C4—73no—
1793C22⋊C4—71no—
1794C22⋊C4—73no—
1795C22⋊C4—76no—
1796C22⋊C4—73no—
1797C22⋊C4—71no—
1798C22⋊C4—71no—
1799C22⋊C4—73no—
1800C22⋊C4—73no—
1801C22⋊C4—73no—
1802C22⋊C4—73no—
1803C22⋊C4—73no—
1804C22⋊C4—73no—
1805C22⋊C4—76no—
1806C22⋊C4—76no—
1807C22⋊C4—73no—
1808C22⋊C4—73no—
1809C22⋊C4—76no—
1810C22⋊C4—76no—
1811C22⋊C4—71no—
1812C22⋊C4—71no—
1813C22⋊C4—73no—
1814C22⋊C4—73no—
1815C22⋊C4—71no—
1816C22⋊C4—71no—
1817C22⋊C4—73no—
1818C22⋊C4—73no—
1819C22⋊C4—76no—
1820C22⋊C4—76no—
1821C22⋊C4—73no—
1822C22⋊C4—73no—
1823C22⋊C4C23×D711yescharacteristic
1824C22⋊C4C23×D713yes—
1825C22⋊C4C23×D713yes—
1826C22⋊C4C23×D713yes—
1827C22⋊C4C23×D716yes—
1828C22⋊C4C23×D713yes—
1829C22⋊C4C23×D716yes—
1830C22⋊C4C23×D711yescharacteristic
1831C22⋊C4C23×D713yes—
1832C22⋊C4C23×D711yescharacteristic
1833C22⋊C4C23×D713yes—
1834C22⋊C4C23×D716yes—
1835C22⋊C4C23×D713yes—
1836C42—71no—
1837C42—71no—
1838C42—71no—
1839C42—73no—
1840C42—73no—
1841C42—73no—
1842C42—73no—
1843C42—73no—
1844C42—73no—
1845C42—73no—
1846C42—73no—
1847C42—73no—
1848C42—76no—
1849C42—76no—
1850C42—76no—
1851C42—73no—
1852C42—73no—
1853C42—73no—
1854C42—73no—
1855C42—73no—
1856C42—73no—
1857C42C23×D711yescharacteristic
1858C42C23×D713yes—
1859C42C23×D713yes—
1860C42C23×D713yes—
1861C42C23×D716yes—
1862C42C23×D713yes—
1863C42C23×D713yes—
1864C2×C7—41no—
1865C2×C7—43no—
1866C2×C7—43no—
1867C2×C7C23×#4111yescharacteristic
1868C2×C7C2×#58511yescharacteristic
1869C2×C7C2×#58511yescharacteristic
1870D7—41no—
1871D7—43no—
1872D7—43no—
1873D7#352414yesdirect product factor
1874C23—71no—
1875C23—71no—
1876C23—73no—
1877C23—73no—
1878C23—142no—
1879C23—146no—
1880C23—146no—
1881C23—146no—
1882C23—146no—
1883C23—146no—
1884C23—142no—
1885C23—142no—
1886C23—146no—
1887C23C24×D711yescharacteristic
1888C23C24×D713yes—
1889C23C24×D713yes—
1890Q8—26no—
1891Q8—43no—
1892Q8—712no—
1893Q8—1412no—
1894Q8—146no—
1895Q8—283no—
1896Q8—283no—
1897Q8—283no—
1898Q8D7×#4114yes—
1899D4—26no—
1900D4—26no—
1901D4—43no—
1902D4—43no—
1903D4—43no—
1904D4—46no—
1905D4—1412no—
1906D4—1412no—
1907D4—146no—
1908D4—146no—
1909D4—283no—
1910D4—283no—
1911D4—283no—
1912D4—286no—
1913D4—283no—
1914D4—283no—
1915D4—283no—
1916D4—283no—
1917D4—283no—
1918D4—283no—
1919D4—286no—
1920D4—286no—
1921C2×C4—26no—
1922C2×C4—26no—
1923C2×C4—26no—
1924C2×C4—43no—
1925C2×C4—46no—
1926C2×C4—43no—
1927C2×C4—73no—
1928C2×C4—712no—
1929C2×C4—71no—
1930C2×C4—71no—
1931C2×C4—71no—
1932C2×C4—73no—
1933C2×C4—71no—
1934C2×C4—73no—
1935C2×C4—71no—
1936C2×C4—73no—
1937C2×C4—73no—
1938C2×C4—73no—
1939C2×C4—71no—
1940C2×C4—146no—
1941C2×C4—146no—
1942C2×C4—146no—
1943C2×C4—142no—
1944C2×C4—142no—
1945C2×C4—146no—
1946C2×C4—146no—
1947C2×C4—142no—
1948C2×C4—142no—
1949C2×C4—146no—
1950C2×C4—146no—
1951C2×C4—142no—
1952C2×C4—146no—
1953C2×C4—142no—
1954C2×C4—146no—
1955C2×C4—146no—
1956C2×C4—146no—
1957C2×C4—146no—
1958C2×C4—146no—
1959C2×C4—146no—
1960C2×C4—283no—
1961C2×C4—283no—
1962C2×C4—286no—
1963C2×C4—283no—
1964C2×C4—286no—
1965C2×C4—283no—
1966C2×C4—283no—
1967C2×C4—286no—
1968C2×C4—283no—
1969C2×C4C24×D711yescharacteristic
1970C2×C4C24×D711yescharacteristic
1971C2×C4C24×D711yescharacteristic
1972C2×C4C24×D713yes—
1973C2×C4C24×D711yescharacteristic
1974C2×C4C24×D713yes—
1975C2×C4C24×D711yescharacteristic
1976C2×C4C24×D713yes—
1977C2×C4C24×D713yes—
1978C2×C4C24×D713yes—
1979C2×C4C24×D711yescharacteristic
1980C2×C4C24×D713yes—
1981C7C2×#352411yescharacteristic, complemented, Sylow
1982C22—21no—
1983C22—23no—
1984C22—23no—
1985C22—23no—
1986C22—23no—
1987C22—23no—
1988C22—21no—
1989C22—21no—
1990C22—23no—
1991C22—72no—
1992C22—72no—
1993C22—72no—
1994C22—141no—
1995C22—143no—
1996C22—143no—
1997C22—143no—
1998C22—143no—
1999C22—143no—
2000C22—141no—
2001C22—141no—
2002C22—143no—
2003C22—284no—
2004C22—2812no—
2005C22—2812no—
2006C22C25×D711yescharacteristic
2007C4—21no—
2008C4—21no—
2009C4—23no—
2010C4—21no—
2011C4—23no—
2012C4—21no—
2013C4—23no—
2014C4—23no—
2015C4—21no—
2016C4—23no—
2017C4—21no—
2018C4—76no—
2019C4—141no—
2020C4—141no—
2021C4—143no—
2022C4—141no—
2023C4—143no—
2024C4—141no—
2025C4—143no—
2026C4—143no—
2027C4—141no—
2028C4—143no—
2029C4—141no—
2030C4C2×D7×#4116yes—
2031C2—41no—
2032C2—43no—
2033C2—43no—
2034C2—74no—
2035C2—281no—
2036C2—283no—
2037C2—283no—
2038C2C22×D7×#4111yescharacteristic
2039C2D7×#58511yescharacteristic
2040C2D7×#58511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D7
commutator, socle, cosocleC22×C7C26
FittingC7×#3524C2
hypercenter#3524D7
hypocenterC7C2×#3524
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C22 ◁ #3524

Complements

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

NH ≅ G/Ntype
1. C7×#3524C2semidirect
2. D7×#559C2semidirect
3. #11744124C2semidirect
4. D7×#557C2semidirect
5. #11744094C2semidirect
6. D7×#555C2semidirect
7. #11744033C2semidirect
8. D7×#553C2semidirect
9. #11743959C2semidirect
10. D7×#552C2semidirect
11. #11743911C2semidirect
12. D7×#550C2semidirect
13. #11743845C2semidirect
14. D7×#548C2semidirect
15. D7×#548C2semidirect
16. #11743792C2semidirect
17. #11743791C2semidirect
18. D7×#542C2semidirect
19. #11743596C2semidirect
20. D7×#540C2semidirect
21. #11743539C2semidirect
22. D7×#529C2semidirect
23. D7×#529C2semidirect
24. #11743199C2semidirect
25. #11743198C2semidirect
26. D7×#520C2semidirect
27. #11742966C2semidirect
28. D7×#519C2semidirect
29. #11742947C2semidirect
30. #11742923C2semidirect
31. C4×D7×#41C2semidirect
35. C7×#559C22semidirect
36. C7×#557C22semidirect
37. C7×#555C22semidirect
38. C7×#553C22semidirect
39. C7×#552C22semidirect
40. C7×#550C22semidirect
41. C7×#548C22semidirect
42. C7×#548C22semidirect
43. C7×#542C22semidirect
44. C7×#540C22semidirect
45. C7×#529C22semidirect
46. C7×#529C22semidirect
47. C7×#520C22semidirect
48. C7×#519C22semidirect
49. C4×C7×#41C22semidirect
50. #90525C22semidirect
51. #90525C22semidirect
52. #90522C22semidirect
53. #90522C22semidirect
54. #90518C22semidirect
55. #41×Dic7C22semidirect
56. #90508C22semidirect
57. #90508C22semidirect
58. #90503C22semidirect
59. #90425C22semidirect
60. #90424C22semidirect
62. #90412C22semidirect
63. #90410C22semidirect
64. #90409C22semidirect
66. #90404C22semidirect
67. #90401C22semidirect
68. #90400C22semidirect
69. #90399C22semidirect
70. #90397C22semidirect
71. #90397C22semidirect
72. #90397C22semidirect
76. #90389C22semidirect
77. #90386C22semidirect
78. #90385C22semidirect
79. #90384C22semidirect
80. #90382C22semidirect
81. #90382C22semidirect
85. #90376C22semidirect
86. #90376C22semidirect
87. #90373C22semidirect
88. #90372C22semidirect
89. #90372C22semidirect
90. #90372C22semidirect
91. #90371C22semidirect
92. #90371C22semidirect
93. #90368C22semidirect
94. #90368C22semidirect
99. #90361C22semidirect
100. #90361C22semidirect
101. #90360C22semidirect
102. #90355C22semidirect
103. #90355C22semidirect
104. #90354C22semidirect
105. #90354C22semidirect
106. #90353C22semidirect
107. #90352C22semidirect
112. #90341C22semidirect
113. #90340C22semidirect
114. #90340C22semidirect
115. #90340C22semidirect
116. #90334C22semidirect
117. #90333C22semidirect
118. #90331C22semidirect
119. #90330C22semidirect
120. #90324C22semidirect
121. #90324C22semidirect
125. #90315C22semidirect
126. #90315C22semidirect
127. #90310C22semidirect
128. #90310C22semidirect
129. #90309C22semidirect
130. #90307C22semidirect
131. #90307C22semidirect
132. #90307C22semidirect
133. #90306C22semidirect
134. #90306C22semidirect
135. #90305C22semidirect
142. #90294C22semidirect
143. #90292C22semidirect
144. #90291C22semidirect
145. #90291C22semidirect
146. #90290C22semidirect
147. #90290C22semidirect
148. #90289C22semidirect
149. #90289C22semidirect
150. #90276C22semidirect
151. #90276C22semidirect
152. #90273C22semidirect
153. #90272C22semidirect
154. #90271C22semidirect
155. #90271C22semidirect
156. #90268C22semidirect
157. #90267C22semidirect
158. #90267C22semidirect
159. #90265C22semidirect
160. #90265C22semidirect
161. C4×#1161C22semidirect
162. C4×#1161C22semidirect
163. #90263C22semidirect
164. #90263C22semidirect
165. #90263C22semidirect
166. #90263C22semidirect
174. #90261C22semidirect
175. #90260C22semidirect
176. #90260C22semidirect
177. #90258C22semidirect
178. #90256C22semidirect
179. #90254C22semidirect
180. #90254C22semidirect
181. #90253C22semidirect
182. #90253C22semidirect
183. #90252C22semidirect
184. #90250C22semidirect
185. #90250C22semidirect
186. #90250C22semidirect
187. #90249C22semidirect
188. #90248C22semidirect
189. #90248C22semidirect
190. #90244C22semidirect
191. #90243C22semidirect
192. #90243C22semidirect
193. #90237C22semidirect
194. #90237C22semidirect
203. #90232C22semidirect
204. #90231C22semidirect
205. #90229C22semidirect
206. #90229C22semidirect
207. #90229C22semidirect
208. C4×#1159C22semidirect
209. C4×#1159C22semidirect
210. #90226C22semidirect
211. #90225C22semidirect
212. #90223C22semidirect
213. #90223C22semidirect
214. #90223C22semidirect
215. #90222C22semidirect
216. #90221C22semidirect
217. #90220C22semidirect
218. #90219C22semidirect
219. #90219C22semidirect
220. #90219C22semidirect
221. #90214C22semidirect
222. #90213C22semidirect
228. #90207C22semidirect
229. #90207C22semidirect
230. #90205C22semidirect
231. #90204C22semidirect
232. #90195C22semidirect
234. #90170C22semidirect
235. #90170C22semidirect
236. C4×#1157C22semidirect
637. #3524D7direct (N × H)
900. #559C2×D7semidirect
908. #557C2×D7semidirect
920. #555C2×D7semidirect
932. #553C2×D7semidirect
944. #552C2×D7semidirect
952. #550C2×D7semidirect
967. #548C2×D7semidirect
968. #548C2×D7semidirect
980. #542C2×D7semidirect
992. #540C2×D7semidirect
1021. #529C2×D7semidirect
1022. #529C2×D7semidirect
1053. #520C2×D7semidirect
1061. #519C2×D7semidirect
1069. C4×#41C2×D7semidirect
1873. D7#3524direct (N × H)
1981. C7C2×#3524semidirect

Maximal subgroups

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

subgroupindex
C7×#35242
D7×#5592
#117441242
D7×#5572
#117440942
D7×#5552
#117440332
D7×#5532
#117439592
D7×#5522
#117439112
D7×#5502
#117438452
D7×#5482
#117437922
#117437912
D7×#5422
#117435962
D7×#5402
#117435392
D7×#5292
#117431992
#117431982
D7×#5202
#117429662
D7×#5192
#117429472
#117429232
C4×D7×#412
C2×#35247