Finite Group Databasebeta

← #14261945

Subgroups — #14261945

Order 1792.

7230 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3493C211yesmaximal, characteristic, complemented
2#11744059C214yesmaximal, complemented
3#11744049C214yesmaximal, complemented
4#11744030C214yesmaximal, complemented
5#11744026C214yesmaximal, complemented
6#11743958C214yesmaximal, complemented
7#11743944C214yesmaximal, complemented
8#11743905C214yesmaximal, complemented
9#11743894C214yesmaximal, complemented
10#11743667C211yesmaximal, characteristic, complemented
11#11743651C211yesmaximal, characteristic, complemented
12#11743483C214yesmaximal, complemented
13#11743456C214yesmaximal, complemented
14#11743450C211yesmaximal, characteristic, complemented
15#11743433C211yesmaximal, characteristic, complemented
16#11743223C214yesmaximal, complemented
17D7×#529C214yesmaximal, complemented
18#11743108C212yesmaximal, complemented
19#11743086C212yesmaximal, complemented
20#11742960C212yesmaximal, complemented
21#11742954C212yesmaximal, complemented
22#11742814C211yesmaximal, characteristic, complemented
23C2×#90213C211yesmaximal, characteristic, complemented
24C2×#6553C2212yes—
25C22×#1157C2211yescharacteristic
26C7×#556C2214yescomplemented
27C7×#555C2214yescomplemented
28C7×#553C2214yescomplemented
29C7×#552C2214yescomplemented
30C7×#544C2211yescharacteristic, complemented
31C7×#538C2214yescomplemented
32C7×#537C2211yescharacteristic
33C7×#529C2214yescomplemented
34C7×#525C2212yescomplemented
35C7×#520C2212yescomplemented
36C2×C7×#117C2211yescharacteristic, complemented
37#90523C2212yes—
38#41×Dic7C2212yescomplemented
39#90516C2212yescomplemented
40#90482C2212yescomplemented
41C22×C4×Dic7C2211yescharacteristic, complemented
42#90424C2214yescomplemented
43#90421C2214yescomplemented
44#90419C2214yescomplemented
45#90418C2214yescomplemented
46#90400C2218yescomplemented
47#90399C2218yescomplemented
48#90399C2218yescomplemented
49#90398C2218yescomplemented
50#90397C2218yescomplemented
51#90397C2218yescomplemented
52#90396C2218yescomplemented
53D7×#126C2218yescomplemented
54#90388C2214yescomplemented
55#90384C2218yescomplemented
56#90382C2214yescomplemented
57#90382C2214yescomplemented
58#90381C2214yescomplemented
59#90381C2214yescomplemented
60D7×#125C2214yescomplemented
61#90371C2214yescomplemented
62#90371C2218yescomplemented
63#90370C2218yescomplemented
64#90370C2218yescomplemented
65#90369C2218yescomplemented
66#90368C2218yescomplemented
67D7×#124C2214yescomplemented
68#90352C2218yescomplemented
69#90351C2218yescomplemented
70#90349C2218yescomplemented
71#90347C2218yescomplemented
72D7×#123C2218yescomplemented
73#90340C2214yescomplemented
74#90340C2214yescomplemented
75#90336C2214yescomplemented
76#90325C2214yescomplemented
77#90322C2214yescomplemented
78#90322C2214yescomplemented
79#90322C2214yescomplemented
80#90321C2214yescomplemented
81D7×C22⋊Q8C2214yescomplemented
82#90316C2214yescomplemented
83#90315C2212yescomplemented
84#90315C2212yescomplemented
85#90315C2214yescomplemented
86#90313C2212yescomplemented
87#90313C2214yescomplemented
88#90313C2212yescomplemented
89#90305C2218yescomplemented
90#90304C2218yescomplemented
91#90303C2214yescomplemented
92#90303C2214yescomplemented
93#90303C2214yescomplemented
94#90301C2218yescomplemented
95#90300C2214yescomplemented
96#90297C2218yescomplemented
97#90296C2214yes—
98D7×#121C2214yes—
99#90294C2214yescomplemented
100#90293C2214yescomplemented
101#90291C2212yescomplemented
102#90291C2214yescomplemented
103#90291C2212yescomplemented
104#90291C2214yescomplemented
105#90287C2212yescomplemented
106#90287C2212yescomplemented
107#90280C2218yescomplemented
108#90277C2214yescomplemented
109#90277C2214yescomplemented
110#90272C2218yescomplemented
111#90271C2214yescomplemented
112#90265C2214yescomplemented
113C4×#1161C2214yescomplemented
114C4×Q8×D7C2214yescomplemented
115#90259C2214yescomplemented
116#90258C2214yescomplemented
117#90255C2218yescomplemented
118#90250C2214yescomplemented
119#90248C2214yescomplemented
120#90247C2218yescomplemented
121#90242C2214yescomplemented
122#90242C2214yescomplemented
123#90241C2214yescomplemented
124#90241C2214yescomplemented
125#90236C2214yescomplemented
126#90236C2218yescomplemented
127C4×D4×D7C2214yescomplemented
128C4×D4×D7C2214yescomplemented
129C4×D4×D7C2218yescomplemented
130#90233C2214yescomplemented
131#90229C2214yescomplemented
132#90229C2214yescomplemented
133#90229C2218yescomplemented
134C4×#1159C2214yescomplemented
135C4×#1159C2214yescomplemented
136#90224C2214yescomplemented
137#90224C2214yescomplemented
138#90223C2214yescomplemented
139#90221C2214yescomplemented
140#90220C2214yescomplemented
141#90220C2214yescomplemented
142#90220C2218yescomplemented
143#90219C2218yescomplemented
144#90218C2218yescomplemented
145#90217C2212yescomplemented
146#90213C2214yescomplemented
147#90213C2214yescomplemented
148#90213C2214yescomplemented
149#90213C2214yescomplemented
150#90213C2214yescomplemented
151#90213C2212yescomplemented
152#90212C2212yes—
153#90212C2214yescomplemented
154D7×#117C2218yescomplemented
155#90208C2212yescomplemented
156#90204C2214yescomplemented
157#90202C2214yescomplemented
158#90201C2211yescharacteristic
159#90195C2212yescomplemented
160#90195C2214yescomplemented
161C2×#6456C2211yescharacteristic
162C2×#6456C2211yescharacteristic
163C2×#6456C2214yescomplemented
164#90191C2211yescharacteristic, complemented
165C2×#6450C2211yescharacteristic, complemented
166C2×#6450C2211yescharacteristic, complemented
167#90185C2214yescomplemented
168C2×(C22⋊D7)⋊C4C2212yescomplemented
169C2×(C22⋊D7)⋊C4C2212yescomplemented
170#90170C2214yescomplemented
171C2×#6435C2212yescomplemented
172C2×C42×D7C2212yescomplemented
173#62781—71nomaximal, Sylow
174C2×C7×#41C2312yes—
175C23×C4×C7C2311yescharacteristic
176C22×C22⋊D7C2312yes—
177C23×Dic7C2311yescharacteristic
178C23×Dic7C2311yescharacteristic
179#6553—216no—
180C2×#1161C2314yes—
181C2×Q8×D7C2314yes—
182C2×#1159C2314yes—
183C2×#1159C2314yes—
184C2×D4×D7C2318yes—
185C2×D4×D7C2314yes—
186C2×D4×D7C2314yes—
187C2×#1157—28no—
188C2×#1157C2312yes—
189C2×#1157C2314yes—
190C2×#1157C2314yes—
191C2×#1157C2314yes—
192C22×D28C2314yes—
193C22×D28C2311yescharacteristic
194C22×C4×D7C2312yes—
195C22×C4×D7C2312yes—
196C22×C4×D7C2312yes—
197C22×C4×D7C2318yes—
198C22×Dic14C2311yescharacteristic
199C7×C4⋊Q8C2314yes—
200C7×#126C2318yes—
201C7×#126C2318yes—
202C7×#125C2314yes—
203C7×#125C2314yes—
204C7×#124C2318yes—
205C7×#124C2314yes—
206C7×#123C2314yes—
207C7×#123C2318yes—
208C7×C22⋊Q8C2312yes—
209C7×C22⋊Q8C2312yes—
210C7×C22⋊Q8C2314yes—
211C7×C22⋊Q8C2314yes—
212C7×#121C2312yes—
213C7×#121C2312yes—
214C7×#121C2314yes—
215C7×#121C2314yes—
216C7×#121C2318yes—
217C7×#120C2314yes—
218C4×C7×Q8C2314yes—
219C4×C7×Q8C2314yes—
220C4×C7×D4C2314yes—
221C4×C7×D4C2314yes—
222C4×C7×D4C2318yes—
223C4×C7×D4C2314yes—
224C4×C7×D4C2314yes—
225C7×#117C2312yes—
226C7×#117C2318yes—
227C7×#117C2314yes—
228C7×#117C2314yes—
229C7×#117C2314yes—
230C2×C7×C4⋊C4C2311yescharacteristic
231C2×C7×C4⋊C4C2311yescharacteristic
232C2×C7×C4⋊C4C2314yes—
233C2×C7×C22⋊C4C2312yes—
234C2×C42×C7C2312yes—
235#6516C2314yes—
236#6510C2314yes—
237#6510C2312yes—
238#6509C2318yes—
239#6509C2318yes—
240#6509C2314yes—
241Q8×Dic7C2314yes—
242Q8×Dic7C2312yes—
243Q8×Dic7C2312yes—
244#6507C2312yes—
245#6507C2314yes—
246#6503C2312yes—
247#6502C2314yes—
248#6502C2314yes—
249#6502C2314yes—
250#6502C2314yes—
251#6501C2318yes—
252#6501C2314yes—
253#6501C2318yes—
254#6500C2318yes—
255#6500C2318yes—
256#6500C2318yes—
257#6499C2312yes—
258#6499C2314yes—
259#6499C2314yes—
260#6498C2314yes—
261#6498C2318yes—
262#6498C2318yes—
263#6498C2314yes—
264D4×Dic7C2314yes—
265D4×Dic7C2314yes—
266D4×Dic7C2314yes—
267D4×Dic7C2314yes—
268D4×Dic7C2312yes—
269D4×Dic7C2314yes—
270D4×Dic7C2312yes—
271#6493C2314yes—
272#6493C2312yes—
273#6493C2312yes—
274#6492C2314yes—
275#6492C2318yes—
276C4×C22⋊D7C2318yes—
277C4×C22⋊D7C2318yes—
278C4×C22⋊D7C2318yes—
279C4×C22⋊D7C2318yes—
280C4×C22⋊D7C2314yes—
281C4×C22⋊D7C2314yes—
282C4×C22⋊D7C2314yes—
283C4×C22⋊D7C2314yes—
284C2×(C2×D7)⋊C4C2312yes—
285C2×(C2×D7)⋊C4C2312yes—
286C2×(C2×D7)⋊C4C2318yes—
287#6489C2312yes—
288#6489C2314yes—
289#6489C2318yes—
290#6487C2314yes—
291#6487C2318yes—
292#6487C2314yes—
293#6487C2314yes—
294#6487C2312yes—
295#6487C2312yes—
296C2×Dic7⋊C4C2312yes—
297C2×Dic7⋊C4C2312yes—
298C2×C4×Dic7C2311yescharacteristic
299C2×C4×Dic7C2312yes—
300C2×C4×Dic7C2312yes—
301C2×C4×Dic7C2311yescharacteristic
302C2×C4×Dic7C2311yescharacteristic
303C2×C4×Dic7C2311yescharacteristic
304C2×C4×Dic7C2314yes—
305C2×C4×Dic7C2312yes—
306C2×C4×Dic7C2312yes—
307C2×C4×Dic7C2312yes—
308C2×C4×Dic7C2312yes—
309#6461C2318yes—
310#6461C2318yes—
311#6461C2314yes—
312#6461C2318yes—
313#6461C2314yes—
314#6460C2314yes—
315#6460C2318yes—
316#6460C2314yes—
317#6460C2314yes—
318#6460C2314yes—
319#6459C2318yes—
320#6459C2318yes—
321#6459C2318yes—
322#6459C2318yes—
323#6458C2314yes—
324#6458C2314yes—
325#6457C2318yes—
326#6457C2318yes—
327#6457C2318yes—
328#6457C2318yes—
329#6456C2314yes—
330#6456C2314yes—
331#6456C2314yes—
332#6456C2314yes—
333#6456C2312yes—
334#6456C2318yes—
335#6456C2318yes—
336#6456C2314yes—
337#6456C2312yes—
338#6456C2314yes—
339#6456C2314yes—
340#6456C2314yes—
341#6455C2314yes—
342#6455C2318yes—
343#6455C2318yes—
344#6455C2314yes—
345#6455C2314yes—
346D7×C4⋊C4C2314yes—
347D7×C4⋊C4C2318yes—
348D7×C4⋊C4C2318yes—
349D7×C4⋊C4C2314yes—
350D7×C4⋊C4C2318yes—
351D7×C4⋊C4C2318yes—
352D7×C4⋊C4C2314yes—
353#6453C2314yes—
354#6453C2314yes—
355#6453C2312yes—
356#6453C2314yes—
357#6453C2318yes—
358#6453C2312yes—
359#6452C2314yes—
360#6452C2318yes—
361#6452C2318yes—
362#6452C2318yes—
363#6452C2314yes—
364#6451C2312yes—
365#6451C2314yes—
366#6451C2312yes—
367#6450C2314yes—
368#6450C2314yes—
369#6450C2314yes—
370#6450C2312yes—
371#6450C2314yes—
372#6450C2314yes—
373#6450C2312yes—
374#6450C2314yes—
375#6450C2314yes—
376#6450C2314yes—
377#6449C2314yes—
378#6449C2314yes—
379#6449C2318yes—
380#6448C2318yes—
381#6448C2318yes—
382#6448C2314yes—
383#6448C2314yes—
384#6447C2318yes—
385#6447C2318yes—
386#6447C2318yes—
387#6447C2318yes—
388#6446C2318yes—
389#6446C2318yes—
390#6446C2318yes—
391#6446C2318yes—
392#6446C2318yes—
393#6446C2318yes—
394#6446C2318yes—
395#6445C2318yes—
396(C22⋊D7)⋊C4C2318yes—
397(C22⋊D7)⋊C4C2318yes—
398(C22⋊D7)⋊C4C2318yes—
399(C22⋊D7)⋊C4C2314yes—
400(C22⋊D7)⋊C4C2314yes—
401(C22⋊D7)⋊C4C2318yes—
402(C22⋊D7)⋊C4C2318yes—
403(C22⋊D7)⋊C4C2318yes—
404(C22⋊D7)⋊C4C2314yes—
405(C22⋊D7)⋊C4C2314yes—
406(C22⋊D7)⋊C4C2314yes—
407(C22⋊D7)⋊C4C2314yes—
408D7×C22⋊C4C2318yes—
409D7×C22⋊C4C2318yes—
410D7×C22⋊C4C2318yes—
411D7×C22⋊C4C2318yes—
412D7×C22⋊C4C2318yes—
413D7×C22⋊C4C2318yes—
414#6442C2318yes—
415#6442C2314yes—
416#6442C2318yes—
417#6442C2318yes—
418#6442C2318yes—
419#6442C2318yes—
420#6442C2314yes—
421#6441C2314yes—
422#6441C2318yes—
423#6441C2314yes—
424#6441C2314yes—
425#6441C2314yes—
426#6440C2314yes—
427#6440C2314yes—
428#6440C2318yes—
429#6440C2314yes—
430#6440C2314yes—
431#6439C2318yes—
432#6439C2318yes—
433#6438C2314yes—
434#6438C2314yes—
435C4×D28C2318yes—
436C4×D28C2318yes—
437C4×D28C2314yes—
438C4×D28C2314yes—
439C4×D28C2314yes—
440#6435C2318yes—
441#6435C2318yes—
442#6435C2318yes—
443#6435C2318yes—
444#6435C2314yes—
445#6435C2318yes—
446C42×D7C2314yes—
447C42×D7C2318yes—
448C42×D7C2314yes—
449C42×D7C2314yes—
450C42×D7C2314yes—
451C42×D7C2314yes—
452#6433C2314yes—
453#6433C2318yes—
454#6432C2314yes—
455C4×Dic14C2318yes—
456C4×Dic14C2314yes—
457C4×Dic14C2314yes—
458C4×Dic14C2314yes—
459#3521—74no—
460#3521—74no—
461#3515—74no—
462#3514—74no—
463#3507—72no—
464#3505—74no—
465#3501—71no—
466#3496—71no—
467#3493—71no—
468#3493D711yescharacteristic, complemented
469#3491—74no—
470#3485—72no—
471#3482—74no—
472#3481—74no—
473#3475—74no—
474#3475—74no—
475#3461—71no—
476#3461—71no—
477#3459—74no—
478#3444—72no—
479C2×#529—74no—
480C4×H(5,𝔽2)—72no—
481C2×C4×#41—71no—
482C24×C7C2411yescharacteristic
483C23×D7C2418yes—
484C23×D7C2412yes—
485C7×#41—28no—
486C2×C7×Q8C2412yes—
487C2×C7×Q8C2414yes—
488C2×C7×D4C2414yes—
489C2×C7×D4C2412yes—
490C2×C7×D4C2414yes—
491C2×C7×D4C2414yes—
492C2×C7×D4C2414yes—
493C22×C4×C7—24no—
494C22×C4×C7C2412yes—
495C22×C4×C7C2412yes—
496C22×C4×C7C2411yescharacteristic
497C22×C4×C7C2414yes—
498C22×C4×C7C2412yes—
499C22×C4×C7C2412yes—
500C22×C4×C7C2418yes—
501C22×C4×C7C2411yescharacteristic
502C2×C22⋊D7—28no—
503C2×C22⋊D7C2418yes—
504C2×C22⋊D7C2418yes—
505C2×C22⋊D7C2414yes—
506C2×C22⋊D7C2414yes—
507C2×C22⋊D7C2414yes—
508C2×C22⋊D7C2414yes—
509C2×C22⋊D7C2414yes—
510C22×Dic7—42no—
511C22×Dic7—42no—
512C22×Dic7C2414yes—
513C22×Dic7C2412yes—
514C22×Dic7C2412yes—
515C22×Dic7C2411yescharacteristic
516C22×Dic7C2411yescharacteristic
517C22×Dic7C2412yes—
518C22×Dic7C2414yes—
519C22×Dic7C2411yescharacteristic
520C22×Dic7C2412yes—
521C22×Dic7C2412yes—
522C22×Dic7C2411yescharacteristic
523#1161—216no—
524Q8×D7—48no—
525#1159—48no—
526#1159—48no—
527D4×D7—232no—
528D4×D7—216no—
529D4×D7—48no—
530#1157—28no—
531#1157—216no—
532#1157—216no—
533#1157—216no—
534C2×D28—216no—
535C2×D28#4118yescomplemented
536C2×D28C2418yes—
537C2×D28C2412yes—
538C2×D28C2414yes—
539C2×D28C2414yes—
540C2×C4×D7—28no—
541C2×C4×D7—44no—
542C2×C4×D7—416no—
543C2×C4×D7—44no—
544C2×C4×D7C2414yes—
545C2×C4×D7C2414yes—
546C2×C4×D7C2414yes—
547C2×C4×D7C2414yes—
548C2×C4×D7C2418yes—
549C2×C4×D7C2414yes—
550C2×C4×D7C2414yes—
551C2×C4×D7C2414yes—
552C2×C4×D7C2414yes—
553C2×C4×D7C2418yes—
554C2×C4×D7C2414yes—
555C2×C4×D7C2418yes—
556C2×C4×D7C2418yes—
557C2×Dic14—24no—
558C2×Dic14C2414yes—
559C2×Dic14C2412yes—
560C2×Dic14C2414yes—
561C2×Dic14C2414yes—
562C2×Dic14C2414yes—
563C7×C4⋊C4C2414yes—
564C7×C4⋊C4C2414yes—
565C7×C4⋊C4C2412yes—
566C7×C4⋊C4C2412yes—
567C7×C4⋊C4C2414yes—
568C7×C4⋊C4C2414yes—
569C7×C4⋊C4C2414yes—
570C7×C4⋊C4C2418yes—
571C7×C4⋊C4C2418yes—
572C7×C4⋊C4C2414yes—
573C7×C22⋊C4C2418yes—
574C7×C22⋊C4C2414yes—
575C7×C22⋊C4C2414yes—
576C7×C22⋊C4C2414yes—
577C7×C22⋊C4C2414yes—
578C7×C22⋊C4C2414yes—
579C7×C22⋊C4C2418yes—
580C7×C22⋊C4C2418yes—
581C42×C7C2414yes—
582C42×C7C2418yes—
583C42×C7C2414yes—
584C42×C7C2414yes—
585C22⋊Dic7C2414yes—
586C22⋊Dic7C2414yes—
587C22⋊Dic7C2418yes—
588C22⋊Dic7C2414yes—
589C22⋊Dic7C2414yes—
590C22⋊Dic7C2414yes—
591C22⋊Dic7C2414yes—
592C22⋊Dic7C2414yes—
593C22⋊Dic7C2418yes—
594(C2×D7)⋊C4C2418yes—
595(C2×D7)⋊C4C2414yes—
596(C2×D7)⋊C4C2414yes—
597(C2×D7)⋊C4C2418yes—
598(C2×D7)⋊C4C2418yes—
599(C2×D7)⋊C4C2414yes—
600(C2×D7)⋊C4C2418yes—
601(C2×D7)⋊C4C2418yes—
602(C2×D7)⋊C4C2414yes—
603(C2×D7)⋊C4C2414yes—
604(C2×D7)⋊C4C2418yes—
605(C2×D7)⋊C4C2418yes—
606(C2×D7)⋊C4C2418yes—
607(C2×D7)⋊C4C2414yes—
608C4⋊Dic7C2418yes—
609C4⋊Dic7C2414yes—
610C4⋊Dic7C2414yes—
611C4⋊Dic7C2414yes—
612C4⋊Dic7C2418yes—
613C4⋊Dic7C2414yes—
614C4⋊Dic7C2414yes—
615C4⋊Dic7C2414yes—
616C4⋊Dic7C2412yes—
617C4⋊Dic7C2412yes—
618Dic7⋊C4C2414yes—
619Dic7⋊C4C2414yes—
620Dic7⋊C4C2414yes—
621Dic7⋊C4C2414yes—
622Dic7⋊C4C2418yes—
623Dic7⋊C4C2414yes—
624Dic7⋊C4C2414yes—
625Dic7⋊C4C2414yes—
626Dic7⋊C4C2418yes—
627Dic7⋊C4C2414yes—
628Dic7⋊C4C2418yes—
629Dic7⋊C4C2418yes—
630Dic7⋊C4C2414yes—
631Dic7⋊C4C2418yes—
632Dic7⋊C4C2418yes—
633Dic7⋊C4C2414yes—
634C4×Dic7C2414yes—
635C4×Dic7C2418yes—
636C4×Dic7C2412yes—
637C4×Dic7C2412yes—
638C4×Dic7C2414yes—
639C4×Dic7C2411yescharacteristic
640C4×Dic7C2411yescharacteristic
641C4×Dic7C2411yescharacteristic
642C4×Dic7C2411yescharacteristic
643C4×Dic7C2414yes—
644C4×Dic7C2414yes—
645C4×Dic7C2414yes—
646C4×Dic7C2414yes—
647C4×Dic7C2414yes—
648C4×Dic7C2412yes—
649C4×Dic7C2414yes—
650C4×Dic7C2412yes—
651C4×Dic7C2412yes—
652C4×Dic7C2414yes—
653C4×Dic7C2412yes—
654C2×H(5,𝔽2)—72no—
655C22×#41—71no—
656#559—74no—
657#557—74no—
658#556—74no—
659#556—74no—
660#556—74no—
661#556—74no—
662#556C2×D714yescomplemented
663#555—74no—
664#555C2×D714yescomplemented
665#554—74no—
666#554—74no—
667#554—74no—
668#554—74no—
669#553—78no—
670#553—78no—
671#553—78no—
672#553—74no—
673#553C2×D714yescomplemented
674#552—78no—
675#552—78no—
676#552—78no—
677#552—78no—
678#552—78no—
679#552—74no—
680#552—74no—
681#552—74no—
682#552C2×D714yescomplemented
683#551—78no—
684#551—78no—
685#551—78no—
686#551—78no—
687#551—78no—
688#551—78no—
689D4×Q8—74no—
690#548—78no—
691#547—74no—
692#547—74no—
693#547—74no—
694#547—74no—
695#547—74no—
696#546—74no—
697#546—74no—
698#546—74no—
699#546—74no—
700#546—78no—
701#546—74no—
702#546—74no—
703D42—74no—
704#544—71no—
705#544C2×D711yescharacteristic, complemented
706#543—74no—
707#542—74no—
708#542—74no—
709#541—74no—
710#541—74no—
711#539—78no—
712#539—78no—
713#539—74no—
714#539—74no—
715#539—78no—
716#538—78no—
717#538—78no—
718#538—74no—
719#538C2×D714yescomplemented
720#537—71no—
721#537C2×D711yescharacteristic
722#536—72no—
723#536—72no—
724#534—74no—
725#534—78no—
726#533—74no—
727#533—72no—
728#533—72no—
729#533—74no—
730#533—72no—
731#532—72no—
732#532—72no—
733#532—72no—
734#529—78no—
735#529—78no—
736#529—74no—
737#529—74no—
738#529—74no—
739#529—78no—
740#529—74no—
741#529—74no—
742#529—74no—
743#529—72no—
744#529—72no—
745#529—74no—
746#529—72no—
747#529—72no—
748#529—74no—
749#529—74no—
750#529—78no—
751#529—74no—
752#529—74no—
753#529—74no—
754#529—78no—
755#529—74no—
756#529C2×D714yescomplemented
757C2×#126—78no—
758C2×#125—74no—
759C2×#124—74no—
760#525—72no—
761#525—78no—
762#525—78no—
763#525—74no—
764#525—74no—
765#525C2×D712yescomplemented
766C2×#123—78no—
767C2×C22⋊Q8—74no—
768C2×#121—74no—
769#520—74no—
770#520—72no—
771#520—74no—
772#520C2×D712yescomplemented
773#518—78no—
774#518—74no—
775#518—72no—
776#518—74no—
777C4×#41—72no—
778C4×#41—74no—
779C4×#41—74no—
780C4×#41—74no—
781C4×#41—74no—
782C4×#41—74no—
783C4×#41—74no—
784C4×#41—74no—
785C4×#41—72no—
786C4×#41—74no—
787C2×C4×Q8—74no—
788C2×C4×Q8—71no—
789C2×C4×Q8—71no—
790C2×C4×D4—78no—
791C2×C4×D4—74no—
792C2×C4×D4—74no—
793C2×C4×D4—71no—
794C2×C4×D4—71no—
795C2×C4×D4—74no—
796C2×C4×D4—72no—
797C2×C4×D4—72no—
798C2×#117—78no—
799C2×#117—72no—
800C2×#117C2×D711yescharacteristic, complemented
801C22×C42—71no—
802C22×C42—72no—
803C23×C7—22no—
804C23×C7—41no—
805C23×C7—41no—
806C23×C7C2514yes—
807C23×C7C2512yes—
808C23×C7C2511yescharacteristic
809C22×D7—216no—
810C22×D7—42no—
811C22×D7—42no—
812C22×D7—48no—
813C22×D7—48no—
814C22×D7C2×#4118yes—
815C22×D7C2514yes—
816C22×D7C2514yes—
817C7×Q8—24no—
818C7×Q8—44no—
819C7×D4—28no—
820C7×D4—24no—
821C7×D4—44no—
822C7×D4—44no—
823C7×D4—44no—
824C2×C4×C7—22no—
825C2×C4×C7—28no—
826C2×C4×C7—24no—
827C2×C4×C7—24no—
828C2×C4×C7—48no—
829C2×C4×C7—42no—
830C2×C4×C7—42no—
831C2×C4×C7C2×#4114yes—
832C2×C4×C7C2511yescharacteristic
833C2×C4×C7C2511yescharacteristic
834C2×C4×C7C2514yes—
835C2×C4×C7C2514yes—
836C2×C4×C7C2514yes—
837C2×C4×C7C2514yes—
838C2×C4×C7C2514yes—
839C2×C4×C7C2512yes—
840C22⋊D7—28no—
841C22⋊D7—216no—
842C22⋊D7—216no—
843C22⋊D7—28no—
844C22⋊D7—44no—
845C22⋊D7—44no—
846C22⋊D7—44no—
847C2×Dic7—24no—
848C2×Dic7—28no—
849C2×Dic7—22no—
850C2×Dic7—22no—
851C2×Dic7—24no—
852C2×Dic7—24no—
853C2×Dic7—44no—
854C2×Dic7—41no—
855C2×Dic7—42no—
856C2×Dic7—42no—
857C2×Dic7—41no—
858C2×Dic7C2512yes—
859C2×Dic7C2511yescharacteristic
860C2×Dic7C2511yescharacteristic
861C2×Dic7C2512yes—
862C2×Dic7C2514yes—
863C2×Dic7C2514yes—
864C2×Dic7C2514yes—
865C2×Dic7C2514yes—
866C2×Dic7C2511yescharacteristic
867C2×Dic7C2511yescharacteristic
868D28—216no—
869D28—24no—
870D28—44no—
871D28C2×#41116yes—
872C4×D7—28no—
873C4×D7—28no—
874C4×D7—216no—
875C4×D7—28no—
876C4×D7—28no—
877C4×D7—28no—
878C4×D7—28no—
879C4×D7—48no—
880C4×D7—48no—
881C4×D7—44no—
882C4×D7—44no—
883C4×D7—44no—
884C4×D7—48no—
885Dic14—28no—
886Dic14—24no—
887Dic14—28no—
888Dic14—44no—
889Dic14—44no—
890H(5,𝔽2)—1416no—
891C2×#41—74no—
892C2×#41—74no—
893C2×#41—74no—
894C2×#41—74no—
895C2×#41—74no—
896C2×#41—72no—
897C2×#41—74no—
898C2×#41—148no—
899C2×#41C22×D712yes—
900C22×Q8—74no—
901C22×Q8—71no—
902C22×D4—72no—
903C22×D4—78no—
904C22×D4—74no—
905C22×D4—74no—
906C22×D4—71no—
907C22×D4—74no—
908C23×C4—71no—
909C23×C4—71no—
910C23×C4—72no—
911C23×C4—78no—
912C23×C4—72no—
913C23×C4—72no—
914C23×C4C22×D711yescharacteristic
915C4⋊Q8—72no—
916C4⋊Q8—74no—
917C4⋊Q8—72no—
918C4⋊Q8—72no—
919C4⋊Q8—74no—
920C4⋊Q8—74no—
921C4⋊Q8C22×D714yes—
922#127—72no—
923#126—74no—
924#126—78no—
925#126—78no—
926#126—74no—
927#126—78no—
928#126—74no—
929#126—78no—
930#126—78no—
931#126—74no—
932#126—78no—
933#126—78no—
934#126—78no—
935#126—78no—
936#126—78no—
937#126C22×D718yes—
938#126C22×D718yes—
939#125—74no—
940#125—74no—
941#125—74no—
942#125—78no—
943#125—74no—
944#125—72no—
945#125—72no—
946#125—78no—
947#125—74no—
948#125—78no—
949#125—78no—
950#125—74no—
951#125—78no—
952#125C22×D714yes—
953#125C22×D714yes—
954#124—74no—
955#124—72no—
956#124—74no—
957#124—72no—
958#124—74no—
959#124—74no—
960#124—78no—
961#124—74no—
962#124—78no—
963#124—74no—
964#124—74no—
965#124C22×D714yes—
966#124C22×D718yes—
967#123—78no—
968#123—74no—
969#123—74no—
970#123—78no—
971#123—74no—
972#123—78no—
973#123—78no—
974#123—78no—
975#123—78no—
976#123—78no—
977#123—78no—
978#123—78no—
979#123—78no—
980#123—74no—
981#123—74no—
982#123—78no—
983#123—78no—
984#123—78no—
985#123—78no—
986#123—78no—
987#123C22×D714yes—
988#123C22×D718yes—
989C22⋊Q8—74no—
990C22⋊Q8—78no—
991C22⋊Q8—78no—
992C22⋊Q8—74no—
993C22⋊Q8—72no—
994C22⋊Q8—72no—
995C22⋊Q8—78no—
996C22⋊Q8—74no—
997C22⋊Q8—74no—
998C22⋊Q8—78no—
999C22⋊Q8—74no—
1000C22⋊Q8—78no—
1001C22⋊Q8—78no—
1002C22⋊Q8—78no—
1003C22⋊Q8—74no—
1004C22⋊Q8—78no—
1005C22⋊Q8—74no—
1006C22⋊Q8—74no—
1007C22⋊Q8—74no—
1008C22⋊Q8—74no—
1009C22⋊Q8—74no—
1010C22⋊Q8—74no—
1011C22⋊Q8—78no—
1012C22⋊Q8C22×D714yes—
1013C22⋊Q8C22×D712yes—
1014C22⋊Q8C22×D712yes—
1015C22⋊Q8C22×D714yes—
1016#121—74no—
1017#121—74no—
1018#121—74no—
1019#121—74no—
1020#121—74no—
1021#121—78no—
1022#121—78no—
1023#121—74no—
1024#121—72no—
1025#121—72no—
1026#121—74no—
1027#121—74no—
1028#121—78no—
1029#121—78no—
1030#121—78no—
1031#121—78no—
1032#121C22×D714yes—
1033#121C22×D718yes—
1034#121C22×D712yes—
1035#121C22×D712yes—
1036#121C22×D714yes—
1037#120—74no—
1038#120—78no—
1039#120—78no—
1040#120—78no—
1041#120—78no—
1042#120C22×D714yes—
1043C4×Q8—74no—
1044C4×Q8—72no—
1045C4×Q8—72no—
1046C4×Q8—74no—
1047C4×Q8—74no—
1048C4×Q8—74no—
1049C4×Q8—74no—
1050C4×Q8—74no—
1051C4×Q8—74no—
1052C4×Q8—72no—
1053C4×Q8—72no—
1054C4×Q8—74no—
1055C4×Q8—74no—
1056C4×Q8—78no—
1057C4×Q8—74no—
1058C4×Q8—74no—
1059C4×Q8—74no—
1060C4×Q8C22×D714yes—
1061C4×Q8C22×D714yes—
1062C4×D4—74no—
1063C4×D4—72no—
1064C4×D4—74no—
1065C4×D4—74no—
1066C4×D4—72no—
1067C4×D4—74no—
1068C4×D4—74no—
1069C4×D4—78no—
1070C4×D4—78no—
1071C4×D4—78no—
1072C4×D4—78no—
1073C4×D4—74no—
1074C4×D4—74no—
1075C4×D4—74no—
1076C4×D4—74no—
1077C4×D4—74no—
1078C4×D4—78no—
1079C4×D4—72no—
1080C4×D4—74no—
1081C4×D4—74no—
1082C4×D4—74no—
1083C4×D4—74no—
1084C4×D4—78no—
1085C4×D4—74no—
1086C4×D4—74no—
1087C4×D4—72no—
1088C4×D4—74no—
1089C4×D4—78no—
1090C4×D4—74no—
1091C4×D4—74no—
1092C4×D4—78no—
1093C4×D4—78no—
1094C4×D4—78no—
1095C4×D4—78no—
1096C4×D4—74no—
1097C4×D4—78no—
1098C4×D4—74no—
1099C4×D4—74no—
1100C4×D4—74no—
1101C4×D4—78no—
1102C4×D4—74no—
1103C4×D4—74no—
1104C4×D4—74no—
1105C4×D4—78no—
1106C4×D4C22×D718yes—
1107C4×D4C22×D714yes—
1108C4×D4C22×D714yes—
1109C4×D4C22×D714yes—
1110C4×D4C22×D714yes—
1111#117—78no—
1112#117—72no—
1113#117—74no—
1114#117—74no—
1115#117—78no—
1116#117—78no—
1117#117—74no—
1118#117—74no—
1119#117—74no—
1120#117—78no—
1121#117—74no—
1122#117—74no—
1123#117—74no—
1124#117—78no—
1125#117—78no—
1126#117—78no—
1127#117—78no—
1128#117—74no—
1129#117—78no—
1130#117C22×D718yes—
1131#117C22×D714yes—
1132#117C22×D714yes—
1133#117C22×D712yes—
1134#117C22×D714yes—
1135C2×C4⋊C4—72no—
1136C2×C4⋊C4—72no—
1137C2×C4⋊C4—78no—
1138C2×C4⋊C4—78no—
1139C2×C4⋊C4—78no—
1140C2×C4⋊C4—74no—
1141C2×C4⋊C4—74no—
1142C2×C4⋊C4—74no—
1143C2×C4⋊C4—78no—
1144C2×C4⋊C4C22×D711yescharacteristic
1145C2×C4⋊C4C22×D711yescharacteristic
1146C2×C4⋊C4C22×D714yes—
1147C2×C22⋊C4—72no—
1148C2×C22⋊C4—72no—
1149C2×C22⋊C4—78no—
1150C2×C22⋊C4—78no—
1151C2×C22⋊C4—78no—
1152C2×C22⋊C4—78no—
1153C2×C22⋊C4—78no—
1154C2×C22⋊C4—78no—
1155C2×C22⋊C4—78no—
1156C2×C22⋊C4C22×D712yes—
1157C2×C42—71no—
1158C2×C42—71no—
1159C2×C42—72no—
1160C2×C42—72no—
1161C2×C42—71no—
1162C2×C42—74no—
1163C2×C42—72no—
1164C2×C42—72no—
1165C2×C42—72no—
1166C2×C42—72no—
1167C2×C42—71no—
1168C2×C42—74no—
1169C2×C42—78no—
1170C2×C42—74no—
1171C2×C42—74no—
1172C2×C42—74no—
1173C2×C42—74no—
1174C2×C42C22×D712yes—
1175C22×C7—21no—
1176C22×C7—21no—
1177C22×C7—22no—
1178C22×C7—24no—
1179C22×C7—22no—
1180C22×C7—22no—
1181C22×C7—24no—
1182C22×C7—24no—
1183C22×C7—44no—
1184C22×C7C22×#4112yes—
1185C22×C7C2611yescharacteristic
1186C2×D7—24no—
1187C2×D7—24no—
1188C2×D7—24no—
1189C2×D7—24no—
1190C2×D7—24no—
1191C2×D7—48no—
1192C2×D7—816no—
1193C2×D7C22×#4118yes—
1194C4×C7—21no—
1195C4×C7—21no—
1196C4×C7—24no—
1197C4×C7—24no—
1198C4×C7—24no—
1199C4×C7—24no—
1200C4×C7—24no—
1201C4×C7C22×#4114yes—
1202Dic7—24no—
1203Dic7—24no—
1204Dic7—24no—
1205Dic7—22no—
1206Dic7—24no—
1207Dic7—21no—
1208Dic7—21no—
1209Dic7—22no—
1210Dic7#58512yes—
1211Dic7#58512yes—
1212C24—72no—
1213C24—78no—
1214C24C23×D711yescharacteristic
1215#41—28no—
1216#41—1416no—
1217#41—1416no—
1218#41—1416no—
1219#41—1416no—
1220#41—148no—
1221#41—288no—
1222#41—288no—
1223C2×Q8—74no—
1224C2×Q8—74no—
1225C2×Q8—72no—
1226C2×Q8—74no—
1227C2×Q8—74no—
1228C2×Q8—144no—
1229C2×Q8—288no—
1230C2×Q8C23×D712yes—
1231C2×Q8C23×D714yes—
1232C2×D4—78no—
1233C2×D4—78no—
1234C2×D4—74no—
1235C2×D4—74no—
1236C2×D4—74no—
1237C2×D4—74no—
1238C2×D4—74no—
1239C2×D4—78no—
1240C2×D4—74no—
1241C2×D4—78no—
1242C2×D4—72no—
1243C2×D4—74no—
1244C2×D4—1416no—
1245C2×D4—1416no—
1246C2×D4—1432no—
1247C2×D4—148no—
1248C2×D4—288no—
1249C2×D4C23×D714yes—
1250C2×D4C23×D712yes—
1251C2×D4C23×D714yes—
1252C2×D4C23×D714yes—
1253C2×D4C23×D714yes—
1254C22×C4—24no—
1255C22×C4—71no—
1256C22×C4—71no—
1257C22×C4—72no—
1258C22×C4—72no—
1259C22×C4—72no—
1260C22×C4—74no—
1261C22×C4—71no—
1262C22×C4—71no—
1263C22×C4—72no—
1264C22×C4—72no—
1265C22×C4—74no—
1266C22×C4—74no—
1267C22×C4—74no—
1268C22×C4—74no—
1269C22×C4—74no—
1270C22×C4—78no—
1271C22×C4—74no—
1272C22×C4—74no—
1273C22×C4—74no—
1274C22×C4—74no—
1275C22×C4—78no—
1276C22×C4—74no—
1277C22×C4—78no—
1278C22×C4—78no—
1279C22×C4—148no—
1280C22×C4—284no—
1281C22×C4—2816no—
1282C22×C4—284no—
1283C22×C4—282no—
1284C22×C4—282no—
1285C22×C4C23×D711yescharacteristic
1286C22×C4C23×D712yes—
1287C22×C4C23×D712yes—
1288C22×C4C23×D714yes—
1289C22×C4C23×D712yes—
1290C22×C4C23×D712yes—
1291C22×C4C23×D718yes—
1292C22×C4C23×D711yescharacteristic
1293C4⋊C4—74no—
1294C4⋊C4—74no—
1295C4⋊C4—74no—
1296C4⋊C4—74no—
1297C4⋊C4—78no—
1298C4⋊C4—74no—
1299C4⋊C4—74no—
1300C4⋊C4—78no—
1301C4⋊C4—78no—
1302C4⋊C4—78no—
1303C4⋊C4—78no—
1304C4⋊C4—78no—
1305C4⋊C4—74no—
1306C4⋊C4—74no—
1307C4⋊C4—74no—
1308C4⋊C4—74no—
1309C4⋊C4—74no—
1310C4⋊C4—72no—
1311C4⋊C4—74no—
1312C4⋊C4—78no—
1313C4⋊C4—74no—
1314C4⋊C4—74no—
1315C4⋊C4—78no—
1316C4⋊C4—72no—
1317C4⋊C4—74no—
1318C4⋊C4—74no—
1319C4⋊C4C23×D714yes—
1320C4⋊C4C23×D714yes—
1321C4⋊C4C23×D714yes—
1322C4⋊C4C23×D718yes—
1323C4⋊C4C23×D718yes—
1324C4⋊C4C23×D714yes—
1325C4⋊C4C23×D714yes—
1326C4⋊C4C23×D712yes—
1327C4⋊C4C23×D714yes—
1328C4⋊C4C23×D712yes—
1329C22⋊C4—74no—
1330C22⋊C4—74no—
1331C22⋊C4—74no—
1332C22⋊C4—74no—
1333C22⋊C4—78no—
1334C22⋊C4—78no—
1335C22⋊C4—74no—
1336C22⋊C4—74no—
1337C22⋊C4—74no—
1338C22⋊C4—78no—
1339C22⋊C4—74no—
1340C22⋊C4—74no—
1341C22⋊C4—78no—
1342C22⋊C4—78no—
1343C22⋊C4—74no—
1344C22⋊C4—74no—
1345C22⋊C4—74no—
1346C22⋊C4—78no—
1347C22⋊C4—78no—
1348C22⋊C4—78no—
1349C22⋊C4—78no—
1350C22⋊C4—78no—
1351C22⋊C4—74no—
1352C22⋊C4C23×D714yes—
1353C22⋊C4C23×D714yes—
1354C22⋊C4C23×D714yes—
1355C22⋊C4C23×D718yes—
1356C22⋊C4C23×D718yes—
1357C22⋊C4C23×D718yes—
1358C22⋊C4C23×D714yes—
1359C22⋊C4C23×D714yes—
1360C42—71no—
1361C42—71no—
1362C42—72no—
1363C42—71no—
1364C42—71no—
1365C42—72no—
1366C42—74no—
1367C42—74no—
1368C42—74no—
1369C42—72no—
1370C42—74no—
1371C42—72no—
1372C42—74no—
1373C42—72no—
1374C42—72no—
1375C42—74no—
1376C42—74no—
1377C42—74no—
1378C42—78no—
1379C42—74no—
1380C42C23×D714yes—
1381C42C23×D714yes—
1382C42C23×D718yes—
1383C42C23×D714yes—
1384C2×C7—22no—
1385C2×C7—44no—
1386C2×C7—42no—
1387C2×C7C23×#4111yescharacteristic
1388C2×C7C2×#58511yescharacteristic
1389C2×C7C2×#58511yescharacteristic
1390D7—28no—
1391D7—44no—
1392C23—22no—
1393C23—41no—
1394C23—41no—
1395C23—74no—
1396C23—78no—
1397C23—74no—
1398C23—1416no—
1399C23—282no—
1400C23—282no—
1401C23—288no—
1402C23—288no—
1403C23C24×D714yes—
1404C23C24×D712yes—
1405C23C24×D711yescharacteristic
1406Q8—24no—
1407Q8—44no—
1408Q8—148no—
1409Q8—148no—
1410Q8—144no—
1411Q8—284no—
1412Q8—284no—
1413D4—28no—
1414D4—24no—
1415D4—44no—
1416D4—44no—
1417D4—44no—
1418D4—716no—
1419D4—1416no—
1420D4—148no—
1421D4—1416no—
1422D4—1416no—
1423D4—148no—
1424D4—144no—
1425D4—284no—
1426D4—284no—
1427D4—284no—
1428D4—284no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—28no—
1433C2×C4—42no—
1434C2×C4—48no—
1435C2×C4—42no—
1436C2×C4—71no—
1437C2×C4—71no—
1438C2×C4—71no—
1439C2×C4—72no—
1440C2×C4—71no—
1441C2×C4—74no—
1442C2×C4—74no—
1443C2×C4—72no—
1444C2×C4—74no—
1445C2×C4—74no—
1446C2×C4—148no—
1447C2×C4—148no—
1448C2×C4—148no—
1449C2×C4—148no—
1450C2×C4—148no—
1451C2×C4—1416no—
1452C2×C4—142no—
1453C2×C4—142no—
1454C2×C4—148no—
1455C2×C4—144no—
1456C2×C4—144no—
1457C2×C4—144no—
1458C2×C4—148no—
1459C2×C4—284no—
1460C2×C4—288no—
1461C2×C4—288no—
1462C2×C4—284no—
1463C2×C4—288no—
1464C2×C4—284no—
1465C2×C4—281no—
1466C2×C4—282no—
1467C2×C4—282no—
1468C2×C4—281no—
1469C2×C4—284no—
1470C2×C4D7×#4114yes—
1471C2×C4C24×D711yescharacteristic
1472C2×C4C24×D711yescharacteristic
1473C2×C4C24×D714yes—
1474C2×C4C24×D714yes—
1475C2×C4C24×D714yes—
1476C2×C4C24×D714yes—
1477C2×C4C24×D714yes—
1478C2×C4C24×D712yes—
1479C7#6278111yescharacteristic, complemented, Sylow
1480C22—21no—
1481C22—21no—
1482C22—22no—
1483C22—24no—
1484C22—24no—
1485C22—22no—
1486C22—22no—
1487C22—24no—
1488C22—44no—
1489C22—78no—
1490C22—144no—
1491C22—144no—
1492C22—144no—
1493C22—144no—
1494C22—144no—
1495C22—288no—
1496C22—5616no—
1497C22C2×D7×#4112yes—
1498C22C25×D711yescharacteristic
1499C4—21no—
1500C4—21no—
1501C4—24no—
1502C4—24no—
1503C4—24no—
1504C4—24no—
1505C4—24no—
1506C4—72no—
1507C4—72no—
1508C4—144no—
1509C4—144no—
1510C4—141no—
1511C4—141no—
1512C4—142no—
1513C4—144no—
1514C4—142no—
1515C4—144no—
1516C4C2×D7×#4114yes—
1517C2—22no—
1518C2—42no—
1519C2—44no—
1520C2—148no—
1521C2—284no—
1522C2C22×D7×#4111yescharacteristic
1523C2D7×#58511yescharacteristic
1524C2D7×#58511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D7
commutator, socle, cosocleC22×C7C26
FittingC7×#3493C2
hypercenter#3493D7
hypocenterC7#62781
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C22 ◁ #3493

Complements

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

NH ≅ G/Ntype
1. C7×#3493C2semidirect
2. #11744059C2semidirect
3. #11744049C2semidirect
4. #11744030C2semidirect
5. #11744026C2semidirect
6. #11743958C2semidirect
7. #11743944C2semidirect
8. #11743905C2semidirect
9. #11743894C2semidirect
10. #11743667C2semidirect
11. #11743651C2semidirect
12. #11743483C2semidirect
13. #11743456C2semidirect
14. #11743450C2semidirect
15. #11743433C2semidirect
16. #11743223C2semidirect
17. D7×#529C2semidirect
18. #11743108C2semidirect
19. #11743086C2semidirect
20. #11742960C2semidirect
21. #11742954C2semidirect
22. #11742814C2semidirect
23. C2×#90213C2semidirect
26. C7×#556C22semidirect
27. C7×#555C22semidirect
28. C7×#553C22semidirect
29. C7×#552C22semidirect
30. C7×#544C22semidirect
31. C7×#538C22semidirect
33. C7×#529C22semidirect
34. C7×#525C22semidirect
35. C7×#520C22semidirect
36. C2×C7×#117C22semidirect
38. #41×Dic7C22semidirect
39. #90516C22semidirect
40. #90482C22semidirect
41. C22×C4×Dic7C22semidirect
42. #90424C22semidirect
43. #90421C22semidirect
44. #90419C22semidirect
45. #90418C22semidirect
46. #90400C22semidirect
47. #90399C22semidirect
48. #90399C22semidirect
49. #90398C22semidirect
50. #90397C22semidirect
51. #90397C22semidirect
52. #90396C22semidirect
53. D7×#126C22semidirect
54. #90388C22semidirect
55. #90384C22semidirect
56. #90382C22semidirect
57. #90382C22semidirect
58. #90381C22semidirect
59. #90381C22semidirect
60. D7×#125C22semidirect
61. #90371C22semidirect
62. #90371C22semidirect
63. #90370C22semidirect
64. #90370C22semidirect
65. #90369C22semidirect
66. #90368C22semidirect
67. D7×#124C22semidirect
68. #90352C22semidirect
69. #90351C22semidirect
70. #90349C22semidirect
71. #90347C22semidirect
72. D7×#123C22semidirect
73. #90340C22semidirect
74. #90340C22semidirect
75. #90336C22semidirect
76. #90325C22semidirect
77. #90322C22semidirect
78. #90322C22semidirect
79. #90322C22semidirect
80. #90321C22semidirect
81. D7×C22⋊Q8C22semidirect
82. #90316C22semidirect
83. #90315C22semidirect
84. #90315C22semidirect
85. #90315C22semidirect
86. #90313C22semidirect
87. #90313C22semidirect
88. #90313C22semidirect
89. #90305C22semidirect
90. #90304C22semidirect
91. #90303C22semidirect
92. #90303C22semidirect
93. #90303C22semidirect
94. #90301C22semidirect
95. #90300C22semidirect
96. #90297C22semidirect
99. #90294C22semidirect
100. #90293C22semidirect
101. #90291C22semidirect
102. #90291C22semidirect
103. #90291C22semidirect
104. #90291C22semidirect
105. #90287C22semidirect
106. #90287C22semidirect
107. #90280C22semidirect
108. #90277C22semidirect
109. #90277C22semidirect
110. #90272C22semidirect
111. #90271C22semidirect
112. #90265C22semidirect
113. C4×#1161C22semidirect
114. C4×Q8×D7C22semidirect
115. #90259C22semidirect
116. #90258C22semidirect
117. #90255C22semidirect
118. #90250C22semidirect
119. #90248C22semidirect
120. #90247C22semidirect
121. #90242C22semidirect
122. #90242C22semidirect
123. #90241C22semidirect
124. #90241C22semidirect
125. #90236C22semidirect
126. #90236C22semidirect
127. C4×D4×D7C22semidirect
128. C4×D4×D7C22semidirect
129. C4×D4×D7C22semidirect
130. #90233C22semidirect
131. #90229C22semidirect
132. #90229C22semidirect
133. #90229C22semidirect
134. C4×#1159C22semidirect
135. C4×#1159C22semidirect
136. #90224C22semidirect
137. #90224C22semidirect
138. #90223C22semidirect
139. #90221C22semidirect
140. #90220C22semidirect
141. #90220C22semidirect
142. #90220C22semidirect
143. #90219C22semidirect
144. #90218C22semidirect
145. #90217C22semidirect
146. #90213C22semidirect
147. #90213C22semidirect
148. #90213C22semidirect
149. #90213C22semidirect
150. #90213C22semidirect
151. #90213C22semidirect
153. #90212C22semidirect
154. D7×#117C22semidirect
155. #90208C22semidirect
156. #90204C22semidirect
157. #90202C22semidirect
159. #90195C22semidirect
160. #90195C22semidirect
163. C2×#6456C22semidirect
164. #90191C22semidirect
165. C2×#6450C22semidirect
166. C2×#6450C22semidirect
167. #90185C22semidirect
168. C2×(C22⋊D7)⋊C4C22semidirect
169. C2×(C22⋊D7)⋊C4C22semidirect
170. #90170C22semidirect
171. C2×#6435C22semidirect
172. C2×C42×D7C22semidirect
468. #3493D7semidirect
535. C2×D28#41semidirect
662. #556C2×D7semidirect
664. #555C2×D7semidirect
673. #553C2×D7semidirect
682. #552C2×D7semidirect
705. #544C2×D7semidirect
719. #538C2×D7semidirect
756. #529C2×D7semidirect
765. #525C2×D7semidirect
772. #520C2×D7semidirect
800. C2×#117C2×D7semidirect
1479. C7#62781semidirect

Maximal subgroups

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

subgroupindex
C7×#34932
#117440592
#117440492
#117440302
#117440262
#117439582
#117439442
#117439052
#117438942
#117436672
#117436512
#117434832
#117434562
#117434502
#117434332
#117432232
D7×#5292
#117431082
#117430862
#117429602
#117429542
#117428142
C2×#902132
#627817