Finite Group Databasebeta

← #14223987

Subgroups — #14223987

Order 1792.

1920 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
1#11743347C211yesmaximal, characteristic, complemented
2#11743224C211yesmaximal, characteristic, complemented
3C7×#3181C211yesmaximal, characteristic, complemented
4#11740788C211yesmaximal, characteristic, complemented
5#11740579C211yesmaximal, characteristic, complemented
6#11739419C211yesmaximal, characteristic, complemented
7#11739406C211yesmaximal, characteristic, complemented
8#11739317C211yesmaximal, characteristic, complemented
9#11739307C211yesmaximal, characteristic, complemented
10#11739183C211yesmaximal, characteristic, complemented
11#11739174C211yesmaximal, characteristic, complemented
12#11739125C211yesmaximal, characteristic, complemented
13#11739111C211yesmaximal, characteristic, complemented
14#11738204C211yesmaximal, characteristic, complemented
15#11738203C211yesmaximal, characteristic, complemented
16#11738190C211yesmaximal, characteristic, complemented
17#11738185C211yesmaximal, characteristic, complemented
18#11738102C211yesmaximal, characteristic, complemented
19D7×#465C211yesmaximal, characteristic, complemented
20#11738083C211yesmaximal, characteristic, complemented
21#11738077C211yesmaximal, characteristic, complemented
22#11737277C211yesmaximal, characteristic, complemented
23#11737275C211yesmaximal, characteristic, complemented
24#11737270C211yesmaximal, characteristic, complemented
25#11737268C211yesmaximal, characteristic, complemented
26#11737222C211yesmaximal, characteristic, complemented
27#11737220C211yesmaximal, characteristic, complemented
28#11737215C211yesmaximal, characteristic, complemented
29#11737212C211yesmaximal, characteristic, complemented
30#11735945C211yesmaximal, characteristic, complemented
31C2×#89480C211yesmaximal, characteristic, complemented
32C7×#533C2211yescharacteristic, complemented
33C7×#529C2211yescharacteristic
34C2×#6482C2211yescharacteristic
35C2×#6481C2211yescharacteristic
36C2×#6477C2211yescharacteristic
37C2×D7×SD16C2211yescharacteristic
38C22×#1131C2211yescharacteristic
39C22×C8×D7C2211yescharacteristic
40#90424C2211yescharacteristic, complemented
41#90422C2211yescharacteristic, complemented
42#90420C2211yescharacteristic
43#90415C2211yescharacteristic
44#90400—21no—
45#90396—21no—
46#90389C2211yescharacteristic
47#90384—21no—
48#90384—21no—
49#90380C2211yescharacteristic
50#90373C2211yescharacteristic
51#90365C2211yescharacteristic
52#90346—21no—
53#90345—21no—
54#90328—21no—
55#90327—21no—
56#90318C2211yescharacteristic
57#90318C2211yescharacteristic
58D7×C22⋊Q8C2211yescharacteristic
59#90315C2211yescharacteristic
60#90315C2211yescharacteristic, complemented
61#90313C2211yescharacteristic, complemented
62D7×#121C2211yescharacteristic
63#90287C2211yescharacteristic
64#90274C2211yescharacteristic, complemented
65#90273C2211yescharacteristic
66#90273C2211yescharacteristic, complemented
67#90272—21no—
68#90265C2211yescharacteristic
69#90265C2211yescharacteristic
70#90263C2211yescharacteristic
71#90259—21no—
72#90253C2211yescharacteristic
73#90245—21no—
74#90236C2211yescharacteristic
75#90231—21no—
76#90223—21no—
77#90222—21no—
78#90218—21no—
79#90218—21no—
80#90170C2211yescharacteristic, complemented
81#90168C2211yescharacteristic
82C2×#6435C2211yescharacteristic
83C7×#501C2211yescharacteristic, complemented
84C7×#497C2211yescharacteristic, complemented
85C7×#491C2211yescharacteristic, complemented
86C7×#489C2211yescharacteristic, complemented
87C7×#467C2211yescharacteristic, complemented
88C7×#467C2211yescharacteristic, complemented
89C7×#465C2211yescharacteristic
90C7×#465C2211yescharacteristic
91C7×#441C2211yescharacteristic, complemented
92C7×#441C2211yescharacteristic, complemented
93C7×#440C2211yescharacteristic, complemented
94C7×#440C2211yescharacteristic, complemented
95C2×C7×#97C2211yescharacteristic, complemented
96#89963C2211yescharacteristic, complemented
97#89962C2211yescharacteristic, complemented
98#89961C2211yescharacteristic, complemented
99#89960C2211yescharacteristic, complemented
100#89956C2211yescharacteristic, complemented
101Q16×Dic7C2211yescharacteristic, complemented
102#89948C2211yescharacteristic, complemented
103#89947C2211yescharacteristic, complemented
104#89946C2211yescharacteristic
105#89943C2211yescharacteristic
106#89936C2211yescharacteristic, complemented
107SD16×Dic7C2211yescharacteristic, complemented
108#89887C2211yescharacteristic
109#89887C2211yescharacteristic, complemented
110#89886C2211yescharacteristic
111#89886C2211yescharacteristic, complemented
112C2×#6389C2211yescharacteristic, complemented
113C2×C8×Dic7C2211yescharacteristic, complemented
114#89860C2211yescharacteristic, complemented
115#89857C2211yescharacteristic, complemented
116#89853C2211yescharacteristic, complemented
117#89851C2211yescharacteristic, complemented
118#89840C2211yescharacteristic, complemented
119#89836C2211yescharacteristic, complemented
120#89831C2211yescharacteristic, complemented
121#89828C2211yescharacteristic, complemented
122#89823C2211yescharacteristic, complemented
123#89820C2211yescharacteristic
124#89820C2211yescharacteristic
125#89820C2211yescharacteristic, complemented
126#89820C2211yescharacteristic, complemented
127#89820C2211yescharacteristic, complemented
128#89813C2211yescharacteristic
129#89810C2211yescharacteristic
130C4×#1144C2211yescharacteristic, complemented
131C4×#1143C2211yescharacteristic, complemented
132C4×#1143C2211yescharacteristic, complemented
133C4×#1143C2211yescharacteristic, complemented
134C4×#1143C2211yescharacteristic, complemented
135C4×#1143C2211yescharacteristic, complemented
136C4×#1142C2211yescharacteristic, complemented
137C4×#1141C2211yescharacteristic, complemented
138C2×C4×C7⋊C8C2211yescharacteristic, complemented
139#89661C2211yescharacteristic, complemented
140#89658C2211yescharacteristic, complemented
141#89655C2211yescharacteristic, complemented
142#89653C2211yescharacteristic
143#89652C2211yescharacteristic
144#89650C2211yescharacteristic, complemented
145#89648C2211yescharacteristic, complemented
146#89644C2211yescharacteristic, complemented
147#89641C2211yescharacteristic, complemented
148#89637C2211yescharacteristic
149#89636C2211yescharacteristic
150#89633C2211yescharacteristic
151D7×#106C2211yescharacteristic
152#89628C2211yescharacteristic, complemented
153#89627C2211yescharacteristic, complemented
154#89624C2211yescharacteristic, complemented
155#89589C2211yescharacteristic, complemented
156#89589C2211yescharacteristic, complemented
157#89588C2211yescharacteristic, complemented
158#89584C2211yescharacteristic
159#89584C2211yescharacteristic, complemented
160#89579C2211yescharacteristic
161#89579C2211yescharacteristic, complemented
162#89579C2211yescharacteristic, complemented
163#89576C2211yescharacteristic
164#89576C2211yescharacteristic
165#89575C2211yescharacteristic
166#89575C2211yescharacteristic
167#89574C2211yescharacteristic
168D7×#103C2211yescharacteristic
169#89572C2211yescharacteristic, complemented
170#89572C2211yescharacteristic, complemented
171#89569C2211yescharacteristic, complemented
172#89567C2211yescharacteristic, complemented
173#89567C2211yescharacteristic, complemented
174#89564C2211yescharacteristic, complemented
175#89561C2211yescharacteristic, complemented
176#89560C2211yescharacteristic, complemented
177#89560C2211yescharacteristic, complemented
178#89560C2211yescharacteristic, complemented
179#89557C2211yescharacteristic, complemented
180#89554C2211yescharacteristic
181#89550C2211yescharacteristic
182#89542C2211yescharacteristic
183D7×#102C2211yescharacteristic
184#89536C2211yescharacteristic, complemented
185#89532C2211yescharacteristic, complemented
186#89530C2211yescharacteristic, complemented
187#89486C2211yescharacteristic, complemented
188#89485C2211yescharacteristic, complemented
189#89484C2211yescharacteristic, complemented
190#89483C2211yescharacteristic, complemented
191#89483C2211yescharacteristic, complemented
192#89482C2211yescharacteristic, complemented
193#89482C2211yescharacteristic, complemented
194#89480C2211yescharacteristic
195#89480C2211yescharacteristic
196#89480C2211yescharacteristic
197#89480C2211yescharacteristic
198#89480C2211yescharacteristic, complemented
199#89480C2211yescharacteristic, complemented
200#89480C2211yescharacteristic, complemented
201#89480C2211yescharacteristic, complemented
202#89474C2211yescharacteristic, complemented
203#60706—71nomaximal, Sylow
204C2×#1161C2311yescharacteristic
205C2×#1161C2311yescharacteristic
206C2×Q8×D7C2311yescharacteristic
207C2×#1159—21no—
208C2×D4×D7—21no—
209C2×D4×D7C2311yescharacteristic
210C2×#1157—21no—
211C22×C4×D7C2311yescharacteristic
212C2×C7×Q16C2311yescharacteristic
213C2×C7×Q16C2311yescharacteristic
214C2×C7×SD16C2311yescharacteristic
215C2×C7×SD16C2311yescharacteristic
216C22×C7×C8C2311yescharacteristic
217C22×C7×C8C2311yescharacteristic
218C7×C4⋊Q8C2311yescharacteristic
219C7×C4⋊Q8C2311yescharacteristic
220C7×#126—21no—
221C7×#125—21no—
222C7×#125C2311yescharacteristic
223C7×#124C2311yescharacteristic
224C7×#123—21no—
225C7×C22⋊Q8—21no—
226C7×C22⋊Q8C2311yescharacteristic
227C7×C22⋊Q8C2311yescharacteristic
228C7×C22⋊Q8C2311yescharacteristic
229C7×#121C2311yescharacteristic
230C4×C7×Q8—21no—
231C4×C7×Q8C2311yescharacteristic
232C4×C7×Q8C2311yescharacteristic
233C4×C7×Q8C2311yescharacteristic
234C4×C7×D4—21no—
235C4×C7×D4C2311yescharacteristic
236C7×#117—21no—
237C7×#117—21no—
238C2×C42×C7C2311yescharacteristic
239#6510—21no—
240#6510C2311yescharacteristic
241#6510C2311yescharacteristic
242#6509—21no—
243#6509—21no—
244#6509C2311yescharacteristic
245#6509C2311yescharacteristic
246#6509C2311yescharacteristic
247Q8×Dic7C2311yescharacteristic
248Q8×Dic7C2311yescharacteristic
249Q8×Dic7C2311yescharacteristic
250#6507—21no—
251#6507C2311yescharacteristic
252C2×#1144C2311yescharacteristic
253C2×#1143C2311yescharacteristic
254C2×#1143C2311yescharacteristic
255C2×#1143C2311yescharacteristic
256C2×#1143C2311yescharacteristic
257C2×#1143C2311yescharacteristic
258#6503C2311yescharacteristic
259#6502—21no—
260#6502—21no—
261#6501C2311yescharacteristic
262D4×Dic7C2311yescharacteristic
263C2×#1142C2311yescharacteristic
264C2×#1141C2311yescharacteristic
265#6493—21no—
266#6493—21no—
267#6493C2311yescharacteristic
268#6493C2311yescharacteristic
269#6493C2311yescharacteristic
270#6492—21no—
271#6492—21no—
272C4×C22⋊D7—21no—
273C4×C22⋊D7—21no—
274C2×(C2×D7)⋊C4—21no—
275C2×(C2×D7)⋊C4D411yescharacteristic
276C2×(C2×D7)⋊C4D411yescharacteristic
277#6487C2311yescharacteristic
278C2×Dic7⋊C4D411yescharacteristic
279C2×Dic7⋊C4D411yescharacteristic
280C2×C4×Dic7C2311yescharacteristic
281C22×C7⋊C8C2311yescharacteristic
282C22×C7⋊C8C2311yescharacteristic
283#6482—24no—
284#6481—24no—
285#6477—24no—
286D7×SD16—24no—
287C2×D56C2311yescharacteristic
288C2×D56C2311yescharacteristic
289C2×#1132C2311yescharacteristic
290C2×#1132C2311yescharacteristic
291C2×#1131—24no—
292C2×#1131C2311yescharacteristic
293C2×#1131C2311yescharacteristic
294C2×#1131C2311yescharacteristic
295C2×#1131C2311yescharacteristic
296C2×C8×D7—24no—
297C2×C8×D7C2311yescharacteristic
298C2×C8×D7C2311yescharacteristic
299C2×C8×D7C2311yescharacteristic
300C2×C8×D7C2311yescharacteristic
301#6461—21no—
302#6461—21no—
303#6461—21no—
304#6461—21no—
305#6461—21no—
306#6461—21no—
307#6460—21no—
308#6460C2311yescharacteristic
309#6459—21no—
310#6459—21no—
311#6459—21no—
312#6459—21no—
313#6459—21no—
314#6459—21no—
315#6459—21no—
316#6458—21no—
317#6458—21no—
318#6458C2311yescharacteristic
319#6458C2311yescharacteristic
320#6458C2311yescharacteristic
321#6457—21no—
322#6457—21no—
323#6457—21no—
324#6457—21no—
325#6457—21no—
326#6457—21no—
327#6457—21no—
328#6457—21no—
329#6457—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#6455—21no—
340#6455C2311yescharacteristic
341#6455C2311yescharacteristic
342D7×C4⋊C4—21no—
343D7×C4⋊C4—21no—
344D7×C4⋊C4—21no—
345D7×C4⋊C4C2311yescharacteristic
346D7×C4⋊C4C2311yescharacteristic
347#6453C2311yescharacteristic
348#6453C2311yescharacteristic
349#6452—21no—
350#6452—21no—
351#6452—21no—
352#6452—21no—
353#6452—21no—
354#6452—21no—
355#6451—21no—
356#6451C2311yescharacteristic
357#6451C2311yescharacteristic
358#6450—21no—
359#6450—21no—
360#6450C2311yescharacteristic
361#6449—21no—
362#6449—21no—
363#6449—21no—
364#6448—21no—
365#6448—21no—
366#6447—21no—
367#6447—21no—
368#6447—21no—
369#6447—21no—
370#6446—21no—
371#6445—21no—
372#6445—21no—
373#6445—21no—
374#6445—21no—
375(C22⋊D7)⋊C4—21no—
376(C22⋊D7)⋊C4—21no—
377(C22⋊D7)⋊C4—21no—
378(C22⋊D7)⋊C4—21no—
379(C22⋊D7)⋊C4—21no—
380(C22⋊D7)⋊C4—21no—
381D7×C22⋊C4—21no—
382D7×C22⋊C4—21no—
383D7×C22⋊C4—21no—
384#6442—21no—
385#6441—21no—
386#6441—21no—
387#6441—21no—
388#6440—21no—
389#6439—21no—
390#6439—21no—
391#6439—21no—
392#6439—21no—
393#6438—21no—
394#6438—21no—
395#6438—21no—
396#6438C2311yescharacteristic
397#6437C2311yescharacteristic
398C4×D28—21no—
399C4×D28—21no—
400C4×D28—21no—
401C4×D28C2311yescharacteristic
402C4×D28C2311yescharacteristic
403C4×D28C2311yescharacteristic
404#6435—21no—
405#6435—21no—
406#6435—21no—
407#6435—21no—
408#6435D411yescharacteristic
409#6435D411yescharacteristic
410#6435D411yescharacteristic
411#6435D411yescharacteristic
412#6435C2311yescharacteristic
413#6435C2311yescharacteristic
414#6435C2311yescharacteristic
415#6435C2311yescharacteristic
416#6433—21no—
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
435C7×#97C2311yescharacteristic
436C7×#97C2311yescharacteristic
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#6382C2311yescharacteristic
478#6382C2311yescharacteristic
479#6381C2311yescharacteristic
480#6381C2311yescharacteristic
481C4×C7⋊C8C2311yescharacteristic
482C4×C7⋊C8C2311yescharacteristic
483C4×C7⋊C8C2311yescharacteristic
484C4×C7⋊C8C2311yescharacteristic
485#3495—71no—
486#3494—71no—
487#3181—71no—
488#3181D711yescharacteristic, complemented
489#3180—71no—
490#3180—71no—
491#3179—71no—
492#3179—71no—
493#3178—71no—
494#3178—71no—
495#3174—71no—
496#3174—71no—
497#3173—71no—
498#3173—71no—
499#3168—71no—
500#3168—71no—
501#3167—71no—
502#3167—71no—
503#3163—71no—
504#3154—71no—
505#3137—71no—
506#3136—71no—
507#3056—71no—
508#3055—71no—
509#3050—71no—
510C2×#465—71no—
511#2952—71no—
512#2949—71no—
513#2947—71no—
514#2946—71no—
515C2×#405—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×C7C2×D411yescharacteristic
526C22×C4×C7C2×D411yescharacteristic
527C22×C4×C7C2411yescharacteristic
528C2×C22⋊D7—21no—
529C2×C22⋊D7—21no—
530C2×C22⋊D7—21no—
531C2×C22⋊D7—21no—
532C2×C22⋊D7—21no—
533C2×C22⋊D7—21no—
534C2×C22⋊D7—21no—
535C22×Dic7—21no—
536C22×Dic7C2×D411yescharacteristic
537C22×Dic7C2×D411yescharacteristic
538C22×Dic7C2×D411yescharacteristic
539#1161—22no—
540#1161—22no—
541#1161—22no—
542#1161—22no—
543Q8×D7—22no—
544Q8×D7—22no—
545#1159—82no—
546D4×D7—22no—
547D4×D7—22no—
548D4×D7—82no—
549#1157—82no—
550C2×D28—21no—
551C2×D28—21no—
552C2×D28—21no—
553C2×D28—21no—
554C2×D28—21no—
555C2×D28—21no—
556C2×D28—21no—
557C2×D28C2411yescharacteristic
558C2×D28C2411yescharacteristic
559C2×D28C2411yescharacteristic
560C2×C4×D7—22no—
561C2×C4×D7—22no—
562C2×C4×D7—21no—
563C2×C4×D7—21no—
564C2×C4×D7—21no—
565C2×C4×D7—21no—
566C2×C4×D7—21no—
567C2×C4×D7—21no—
568C2×C4×D7—21no—
569C2×C4×D7—21no—
570C2×C4×D7—21no—
571C2×C4×D7—21no—
572C2×C4×D7—21no—
573C2×C4×D7C2×D411yescharacteristic
574C2×C4×D7C2×D411yescharacteristic
575C2×C4×D7C2411yescharacteristic
576C2×C4×D7C2411yescharacteristic
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—
586C2×C7×C8—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⋊C4C2411yescharacteristic
604C7×C4⋊C4C2411yescharacteristic
605C7×C4⋊C4C2411yescharacteristic
606C7×C4⋊C4C2411yescharacteristic
607C7×C22⋊C4—21no—
608C7×C22⋊C4—21no—
609C7×C22⋊C4—21no—
610C7×C22⋊C4—21no—
611C7×C22⋊C4—21no—
612C7×C22⋊C4—21no—
613C7×C22⋊C4—21no—
614C42×C7—21no—
615C42×C7—21no—
616C42×C7—21no—
617C42×C7C2×D411yescharacteristic
618C42×C7C2×D411yescharacteristic
619C42×C7C2411yescharacteristic
620C42×C7C2411yescharacteristic
621C22⋊Dic7—21no—
622C22⋊Dic7—21no—
623C22⋊Dic7—21no—
624#1144—22no—
625#1143—22no—
626#1143—22no—
627#1143—22no—
628#1143—22no—
629#1143—22no—
630#1142—22no—
631#1141—22no—
632(C2×D7)⋊C4—21no—
633(C2×D7)⋊C4—21no—
634(C2×D7)⋊C4—21no—
635(C2×D7)⋊C4—21no—
636(C2×D7)⋊C4—21no—
637(C2×D7)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
657(C2×D7)⋊C4C2×D411yescharacteristic
658(C2×D7)⋊C4C2×D411yescharacteristic
659(C2×D7)⋊C4C2×D411yescharacteristic
660(C2×D7)⋊C4C2×D411yescharacteristic
661(C2×D7)⋊C4C2×D411yescharacteristic
662(C2×D7)⋊C4C2×D411yescharacteristic
663(C2×D7)⋊C4C2×D411yescharacteristic
664C4⋊Dic7—21no—
665C4⋊Dic7—21no—
666C4⋊Dic7—21no—
667C4⋊Dic7—21no—
668C4⋊Dic7—21no—
669C4⋊Dic7—21no—
670C4⋊Dic7—21no—
671C4⋊Dic7C2411yescharacteristic
672C4⋊Dic7C2411yescharacteristic
673C4⋊Dic7C2411yescharacteristic
674C4⋊Dic7C2411yescharacteristic
675Dic7⋊C4—21no—
676Dic7⋊C4—21no—
677Dic7⋊C4—21no—
678Dic7⋊C4—21no—
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⋊C4C2×D411yescharacteristic
692Dic7⋊C4C2×D411yescharacteristic
693Dic7⋊C4C2×D411yescharacteristic
694Dic7⋊C4C2×D411yescharacteristic
695Dic7⋊C4C2×D411yescharacteristic
696Dic7⋊C4C2×D411yescharacteristic
697Dic7⋊C4C2×D411yescharacteristic
698Dic7⋊C4C2×D411yescharacteristic
699C4×Dic7—21no—
700C4×Dic7—21no—
701C4×Dic7—21no—
702C4×Dic7—21no—
703C4×Dic7—21no—
704C4×Dic7—21no—
705C4×Dic7—21no—
706C4×Dic7C2×D411yescharacteristic
707C4×Dic7C2×D411yescharacteristic
708C4×Dic7C2411yescharacteristic
709C4×Dic7C2411yescharacteristic
710C2×C7⋊C8—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#4114yescomplemented
724C8×D7—22no—
725C8×D7—22no—
726C8×D7—22no—
727C8×D7#4114yescomplemented
728C2×#137—71no—
729C2×AGL(1,ℤ/8)—71no—
730C2×#135—71no—
731C22×SD16—71no—
732C22×M16—71no—
733C23×C8—71no—
734#556—141no—
735#555—141no—
736#554—141no—
737#553—141no—
738#553—141no—
739#552—141no—
740#552—141no—
741#552—141no—
742#552—141no—
743#551—141no—
744#551—141no—
745#551—141no—
746#551—141no—
747#547—141no—
748#546—141no—
749#546—141no—
750#544—71no—
751#544—71no—
752#542—71no—
753#542—71no—
754#542—71no—
755#542—71no—
756#541—71no—
757#541—71no—
758#540—71no—
759#540—71no—
760#536—71no—
761#535—71no—
762#533—71no—
763#533C2×D711yescharacteristic, complemented
764#532—71no—
765#532—71no—
766#529—71no—
767#529—71no—
768#529—71no—
769#529C2×D711yescharacteristic
770#525—71no—
771#525—71no—
772C2×C22⋊Q8—71no—
773C2×#121—71no—
774#520—71no—
775#520—71no—
776#519—71no—
777#518—71no—
778C2×#117—71no—
779#501—71no—
780#501—71no—
781#501—71no—
782#501C2×D711yescharacteristic, complemented
783#499—71no—
784#499—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#492—71no—
794#492—71no—
795#491—71no—
796#491C2×D711yescharacteristic, complemented
797#490—71no—
798#490—71no—
799#489—71no—
800#489—71no—
801#489—71no—
802#489C2×D711yescharacteristic, complemented
803#488—71no—
804#488—71no—
805#488—71no—
806#488—71no—
807#487—71no—
808#487—71no—
809#486—71no—
810#486—71no—
811#470—71no—
812#470—71no—
813#469—71no—
814#469—71no—
815#468—71no—
816#468—71no—
817#468—71no—
818#468—71no—
819#467—71no—
820#467—71no—
821#467C2×D711yescharacteristic, complemented
822#467C2×D711yescharacteristic, complemented
823#466—71no—
824#466—71no—
825#466—71no—
826#466—71no—
827#465—71no—
828#465—71no—
829#465—71no—
830#465—71no—
831#465—71no—
832#465—71no—
833#465—71no—
834#465—71no—
835#465—71no—
836#465—71no—
837#465—71no—
838#465—71no—
839#465—71no—
840#465—71no—
841#465C2×D711yescharacteristic
842#465C2×D711yescharacteristic
843#442—71no—
844#442—71no—
845#442—71no—
846#442—71no—
847#441—71no—
848#441—71no—
849#441C2×D711yescharacteristic, complemented
850#441C2×D711yescharacteristic, complemented
851#440—71no—
852#440—71no—
853#440—71no—
854#440—71no—
855#440—71no—
856#440—71no—
857#440C2×D711yescharacteristic, complemented
858#440C2×D711yescharacteristic, complemented
859C4×Q16—71no—
860C4×Q16—71no—
861C4×SD16—71no—
862C4×SD16—71no—
863C4×SD16—71no—
864C4×SD16—71no—
865C4×SD16—71no—
866C4×SD16—71no—
867C4×SD16—71no—
868C4×SD16—71no—
869C4×SD16—71no—
870C4×SD16—71no—
871C4×SD16—71no—
872C4×SD16—71no—
873C4×D8—71no—
874C4×D8—71no—
875#428—71no—
876#428—71no—
877#427—71no—
878C2×#106—71no—
879#419—71no—
880#418—71no—
881#417—71no—
882#417—71no—
883#416—71no—
884#416—71no—
885C2×#103—71no—
886C2×#102—71no—
887#405—71no—
888#405—71no—
889#405—71no—
890#405—71no—
891#405—71no—
892#405—71no—
893#405—71no—
894#405—71no—
895C2×#97—71no—
896C2×#97C2×D711yescharacteristic, complemented
897C2×C4×C8—71no—
898C2×C4×C8—71no—
899C23×C7—21no—
900C23×C7C22×D411yescharacteristic
901C22×D7—22no—
902C22×D7—22no—
903C22×D7—21no—
904C22×D7—21no—
905C22×D7—21no—
906C22×D7—41no—
907C22×D7—42no—
908C22×D7—81no—
909C22×D7—81no—
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—42no—
922C2×C4×C7—22no—
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—21no—
932C2×C4×C7—41no—
933C2×C4×C7—81no—
934C2×C4×C7C22×D411yescharacteristic
935C2×C4×C7C22×D411yescharacteristic
936C2×C4×C7C22×D411yescharacteristic
937C2×C4×C7C22×D411yescharacteristic
938C2×C4×C7C22×D411yescharacteristic
939C2×C4×C7C2511yescharacteristic
940C22⋊D7—42no—
941C22⋊D7—42no—
942C22⋊D7—42no—
943C22⋊D7—42no—
944C22⋊D7—81no—
945C22⋊D7—81no—
946C22⋊D7—81no—
947C2×Dic7—22no—
948C2×Dic7—22no—
949C2×Dic7—21no—
950C2×Dic7—21no—
951C2×Dic7—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—41no—
955C2×Dic7—81no—
956C2×Dic7C22×D411yescharacteristic
957C2×Dic7C22×D411yescharacteristic
958C2×Dic7C22×D411yescharacteristic
959C2×Dic7C22×D411yescharacteristic
960C2×Dic7C22×D411yescharacteristic
961C2×Dic7C22×D411yescharacteristic
962D28—21no—
963D28—21no—
964D28—21no—
965D28—21no—
966D28—21no—
967D28—21no—
968D28—42no—
969D28—42no—
970D28—81no—
971D28—81no—
972D28—81no—
973D28—81no—
974D28—81no—
975C4×D7—22no—
976C4×D7—21no—
977C4×D7—21no—
978C4×D7—22no—
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×D7—81no—
989C4×D7—81no—
990C4×D7C2×#4112yes—
991C4×D7C2×#4112yes—
992Dic14—21no—
993Dic14—21no—
994Dic14—42no—
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—
1008C2×#41—141no—
1009C2×#41—141no—
1010C22×Q8—71no—
1011C22×D4—71no—
1012C22×D4—141no—
1013C23×C4—71no—
1014#137—144no—
1015AGL(1,ℤ/8)—144no—
1016#135—144no—
1017C2×Q16—71no—
1018C2×Q16C22×D711yescharacteristic
1019C2×Q16C22×D711yescharacteristic
1020C2×SD16—71no—
1021C2×SD16—71no—
1022C2×SD16—71no—
1023C2×SD16—71no—
1024C2×SD16—71no—
1025C2×SD16—71no—
1026C2×SD16—71no—
1027C2×SD16—71no—
1028C2×SD16—144no—
1029C2×SD16C22×D711yescharacteristic
1030C2×SD16C22×D711yescharacteristic
1031C2×D8—71no—
1032C2×D8—71no—
1033C2×D8—71no—
1034C2×M16—71no—
1035C2×M16—71no—
1036C2×M16—71no—
1037C2×M16—71no—
1038C2×M16—144no—
1039C22×C8—71no—
1040C22×C8—71no—
1041C22×C8—71no—
1042C22×C8—71no—
1043C22×C8—71no—
1044C22×C8—71no—
1045C22×C8—144no—
1046C22×C8C22×D711yescharacteristic
1047C22×C8C22×D711yescharacteristic
1048C4⋊Q8—71no—
1049C4⋊Q8—71no—
1050C4⋊Q8—71no—
1051C4⋊Q8—71no—
1052C4⋊Q8—141no—
1053C4⋊Q8—141no—
1054C4⋊Q8C22×D711yescharacteristic
1055C4⋊Q8C22×D711yescharacteristic
1056#127—71no—
1057#127—71no—
1058#126—21no—
1059#126—141no—
1060#126—141no—
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#125—21no—
1071#125—71no—
1072#125—71no—
1073#125—71no—
1074#125—141no—
1075#125—141no—
1076#125—141no—
1077#125—141no—
1078#125—141no—
1079#125—141no—
1080#125—141no—
1081#125C22×D711yescharacteristic
1082#124—71no—
1083#124—71no—
1084#124—71no—
1085#124—141no—
1086#124—141no—
1087#124—141no—
1088#124—141no—
1089#124—141no—
1090#124—141no—
1091#124C22×D711yescharacteristic
1092#123—21no—
1093#123—141no—
1094#123—141no—
1095#123—141no—
1096#123—141no—
1097#123—141no—
1098#123—141no—
1099#123—141no—
1100#123—141no—
1101#123—141no—
1102#123—141no—
1103#123—141no—
1104#123—141no—
1105#123—141no—
1106#123—141no—
1107#123—141no—
1108C22⋊Q8—21no—
1109C22⋊Q8—71no—
1110C22⋊Q8—71no—
1111C22⋊Q8—71no—
1112C22⋊Q8—71no—
1113C22⋊Q8—71no—
1114C22⋊Q8—141no—
1115C22⋊Q8—141no—
1116C22⋊Q8—141no—
1117C22⋊Q8—141no—
1118C22⋊Q8—141no—
1119C22⋊Q8—141no—
1120C22⋊Q8—141no—
1121C22⋊Q8—141no—
1122C22⋊Q8—141no—
1123C22⋊Q8—141no—
1124C22⋊Q8—141no—
1125C22⋊Q8—141no—
1126C22⋊Q8—141no—
1127C22⋊Q8C22×D711yescharacteristic
1128C22⋊Q8C22×D711yescharacteristic
1129C22⋊Q8C22×D711yescharacteristic
1130#121—71no—
1131#121—71no—
1132#121—71no—
1133#121—71no—
1134#121—71no—
1135#121—71no—
1136#121—71no—
1137#121—141no—
1138#121—141no—
1139#121—141no—
1140#121—141no—
1141#121—141no—
1142#121—141no—
1143#121—141no—
1144#121—141no—
1145#121—141no—
1146#121—141no—
1147#121C22×D711yescharacteristic
1148#120—141no—
1149#120—141no—
1150#120—141no—
1151#120—141no—
1152C4×Q8—21no—
1153C4×Q8—71no—
1154C4×Q8—71no—
1155C4×Q8—71no—
1156C4×Q8—71no—
1157C4×Q8—71no—
1158C4×Q8—141no—
1159C4×Q8—141no—
1160C4×Q8—141no—
1161C4×Q8C22×D711yescharacteristic
1162C4×Q8C22×D711yescharacteristic
1163C4×Q8C22×D711yescharacteristic
1164C4×D4—21no—
1165C4×D4—71no—
1166C4×D4—71no—
1167C4×D4—71no—
1168C4×D4—71no—
1169C4×D4—71no—
1170C4×D4—71no—
1171C4×D4—71no—
1172C4×D4—141no—
1173C4×D4—141no—
1174C4×D4—141no—
1175C4×D4—141no—
1176C4×D4—141no—
1177C4×D4—141no—
1178C4×D4—141no—
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×D4C22×D711yescharacteristic
1188#117—21no—
1189#117—21no—
1190#117—71no—
1191#117—71no—
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—141no—
1201#117—141no—
1202#117—141no—
1203#117—141no—
1204#117—141no—
1205#117—141no—
1206#117—141no—
1207#117—141no—
1208C2×C4⋊C4—71no—
1209C2×C4⋊C4—71no—
1210C2×C4⋊C4—71no—
1211C2×C4⋊C4—71no—
1212C2×C4⋊C4—141no—
1213C2×C4⋊C4—141no—
1214C2×C4⋊C4—141no—
1215C2×C22⋊C4—71no—
1216C2×C22⋊C4—71no—
1217C2×C22⋊C4—141no—
1218C2×C22⋊C4—141no—
1219C2×C22⋊C4—141no—
1220C2×C22⋊C4—141no—
1221C2×C42—71no—
1222C2×C42C22×D711yescharacteristic
1223#107—71no—
1224#107—71no—
1225#107—71no—
1226#107—71no—
1227#107C22×D711yescharacteristic
1228#107C22×D711yescharacteristic
1229#106—71no—
1230#106—71no—
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#97C22×D711yescharacteristic
1276#97C22×D711yescharacteristic
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×C8—71no—
1286C4×C8—71no—
1287C22×C7—21no—
1288C22×C7—21no—
1289C22×C7—41no—
1290C22×C7—41no—
1291C22×C7—41no—
1292C22×C7#57712yes—
1293C22×C7C23×D411yescharacteristic
1294C2×D7—21no—
1295C2×D7—21no—
1296C2×D7—21no—
1297C2×D7—21no—
1298C2×D7—21no—
1299C2×D7—44no—
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—41no—
1309C2×D7—162no—
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—
1342#41—562no—
1343#41—562no—
1344C2×Q8—21no—
1345C2×Q8—71no—
1346C2×Q8—141no—
1347C2×Q8—141no—
1348C2×Q8—141no—
1349C2×Q8—142no—
1350C2×Q8—142no—
1351C2×Q8—141no—
1352C2×Q8C23×D711yescharacteristic
1353C2×Q8C23×D711yescharacteristic
1354C2×Q8C23×D711yescharacteristic
1355C2×D4—21no—
1356C2×D4—71no—
1357C2×D4—71no—
1358C2×D4—71no—
1359C2×D4—141no—
1360C2×D4—141no—
1361C2×D4—141no—
1362C2×D4—141no—
1363C2×D4—141no—
1364C2×D4—142no—
1365C2×D4—142no—
1366C2×D4—141no—
1367C2×D4—141no—
1368C2×D4—141no—
1369C2×D4—141no—
1370C2×D4—141no—
1371C2×D4—141no—
1372C2×D4—141no—
1373C2×D4—141no—
1374C2×D4—141no—
1375C2×D4—562no—
1376C2×D4C23×D711yescharacteristic
1377C22×C4—21no—
1378C22×C4—71no—
1379C22×C4—71no—
1380C22×C4—71no—
1381C22×C4—71no—
1382C22×C4—71no—
1383C22×C4—71no—
1384C22×C4—71no—
1385C22×C4—142no—
1386C22×C4—142no—
1387C22×C4—141no—
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×C4D4×D711yescharacteristic
1400C22×C4D4×D711yescharacteristic
1401C22×C4C23×D711yescharacteristic
1402Q16—22no—
1403Q16—22no—
1404Q16—142no—
1405SD16—22no—
1406SD16—22no—
1407SD16—142no—
1408SD16—142no—
1409SD16—142no—
1410SD16—142no—
1411SD16—142no—
1412SD16—142no—
1413SD16—142no—
1414SD16—142no—
1415D8—142no—
1416D8—142no—
1417D8—142no—
1418M16—74no—
1419M16—142no—
1420M16—142no—
1421M16—142no—
1422C2×C8—22no—
1423C2×C8—22no—
1424C2×C8—71no—
1425C2×C8—71no—
1426C2×C8—74no—
1427C2×C8—71no—
1428C2×C8—71no—
1429C2×C8—142no—
1430C2×C8—142no—
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—71no—
1460C4⋊C4—71no—
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⋊C4—141no—
1479C4⋊C4—141no—
1480C4⋊C4—141no—
1481C4⋊C4—141no—
1482C4⋊C4—141no—
1483C4⋊C4—141no—
1484C4⋊C4C23×D711yescharacteristic
1485C4⋊C4C23×D711yescharacteristic
1486C4⋊C4C23×D711yescharacteristic
1487C4⋊C4C23×D711yescharacteristic
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—71no—
1496C22⋊C4—71no—
1497C22⋊C4—71no—
1498C22⋊C4—71no—
1499C22⋊C4—71no—
1500C22⋊C4—71no—
1501C22⋊C4—71no—
1502C22⋊C4—71no—
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⋊C4—141no—
1529C22⋊C4—141no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—71no—
1534C42—71no—
1535C42—71no—
1536C42—71no—
1537C42—141no—
1538C42—141no—
1539C42—141no—
1540C42—141no—
1541C42—141no—
1542C42—141no—
1543C42—141no—
1544C42D4×D711yescharacteristic
1545C42D4×D711yescharacteristic
1546C42C23×D711yescharacteristic
1547C42C23×D711yescharacteristic
1548C2×C7—22no—
1549C2×C7—81no—
1550C2×C7C2×#53211yescharacteristic
1551C2×C7C2×#57711yescharacteristic
1552C2×C7#358411yescharacteristic
1553D7—22no—
1554D7—41no—
1555D7—81no—
1556D7—81no—
1557D7—81no—
1558C23—21no—
1559C23—71no—
1560C23—71no—
1561C23—142no—
1562C23—142no—
1563C23—141no—
1564C23—141no—
1565C23—141no—
1566C23—281no—
1567C23—282no—
1568C23—561no—
1569C23—561no—
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—
1584D4—21no—
1585D4—21no—
1586D4—42no—
1587D4—141no—
1588D4—141no—
1589D4—141no—
1590D4—141no—
1591D4—141no—
1592D4—141no—
1593D4—282no—
1594D4—282no—
1595D4—282no—
1596D4—282no—
1597D4—282no—
1598D4—282no—
1599D4—561no—
1600D4—561no—
1601D4—561no—
1602D4—561no—
1603D4—561no—
1604D4—561no—
1605D4—561no—
1606D4—561no—
1607C2×C4—22no—
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—21no—
1617C2×C4—41no—
1618C2×C4—71no—
1619C2×C4—72no—
1620C2×C4—72no—
1621C2×C4—71no—
1622C2×C4—71no—
1623C2×C4—71no—
1624C2×C4—71no—
1625C2×C4—71no—
1626C2×C4—81no—
1627C2×C4—142no—
1628C2×C4—142no—
1629C2×C4—142no—
1630C2×C4—142no—
1631C2×C4—141no—
1632C2×C4—141no—
1633C2×C4—141no—
1634C2×C4—141no—
1635C2×C4—141no—
1636C2×C4—141no—
1637C2×C4—141no—
1638C2×C4—282no—
1639C2×C4—282no—
1640C2×C4—282no—
1641C2×C4—281no—
1642C2×C4—561no—
1643C2×C4—561no—
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#6070611yescharacteristic, complemented, Sylow
1666C22—21no—
1667C22—21no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—72no—
1672C22—141no—
1673C22—141no—
1674C22—141no—
1675C22—141no—
1676C22—141no—
1677C22—284no—
1678C22—281no—
1679C22—281no—
1680C22—281no—
1681C22—281no—
1682C22—281no—
1683C22—281no—
1684C22—281no—
1685C22—281no—
1686C22—281no—
1687C22—1122no—
1688C22#9046912yes—
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—22no—
1716C2—81no—
1717C2—142no—
1718C2—281no—
1719C2—561no—
1720C2—561no—
1721C2—561no—
1722C2D7×#53211yescharacteristic
1723C2C2×#9046911yescharacteristic
1724C2#1174426711yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3181C2
socleC22×C7C23×D4
hypercenter#3181D7
hypocenterC7#60706
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3181

Complements

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

NH ≅ G/Ntype
1. #11743347C2semidirect
2. #11743224C2semidirect
3. C7×#3181C2semidirect
4. #11740788C2semidirect
5. #11740579C2semidirect
6. #11739419C2semidirect
7. #11739406C2semidirect
8. #11739317C2semidirect
9. #11739307C2semidirect
10. #11739183C2semidirect
11. #11739174C2semidirect
12. #11739125C2semidirect
13. #11739111C2semidirect
14. #11738204C2semidirect
15. #11738203C2semidirect
16. #11738190C2semidirect
17. #11738185C2semidirect
18. #11738102C2semidirect
19. D7×#465C2semidirect
20. #11738083C2semidirect
21. #11738077C2semidirect
22. #11737277C2semidirect
23. #11737275C2semidirect
24. #11737270C2semidirect
25. #11737268C2semidirect
26. #11737222C2semidirect
27. #11737220C2semidirect
28. #11737215C2semidirect
29. #11737212C2semidirect
30. #11735945C2semidirect
31. C2×#89480C2semidirect
32. C7×#533C22semidirect
40. #90424C22semidirect
41. #90422C22semidirect
60. #90315C22semidirect
61. #90313C22semidirect
64. #90274C22semidirect
66. #90273C22semidirect
80. #90170C22semidirect
83. C7×#501C22semidirect
84. C7×#497C22semidirect
85. C7×#491C22semidirect
86. C7×#489C22semidirect
87. C7×#467C22semidirect
88. C7×#467C22semidirect
91. C7×#441C22semidirect
92. C7×#441C22semidirect
93. C7×#440C22semidirect
94. C7×#440C22semidirect
95. C2×C7×#97C22semidirect
96. #89963C22semidirect
97. #89962C22semidirect
98. #89961C22semidirect
99. #89960C22semidirect
100. #89956C22semidirect
101. Q16×Dic7C22semidirect
102. #89948C22semidirect
103. #89947C22semidirect
106. #89936C22semidirect
107. SD16×Dic7C22semidirect
109. #89887C22semidirect
111. #89886C22semidirect
112. C2×#6389C22semidirect
113. C2×C8×Dic7C22semidirect
114. #89860C22semidirect
115. #89857C22semidirect
116. #89853C22semidirect
117. #89851C22semidirect
118. #89840C22semidirect
119. #89836C22semidirect
120. #89831C22semidirect
121. #89828C22semidirect
122. #89823C22semidirect
125. #89820C22semidirect
126. #89820C22semidirect
127. #89820C22semidirect
130. C4×#1144C22semidirect
131. C4×#1143C22semidirect
132. C4×#1143C22semidirect
133. C4×#1143C22semidirect
134. C4×#1143C22semidirect
135. C4×#1143C22semidirect
136. C4×#1142C22semidirect
137. C4×#1141C22semidirect
138. C2×C4×C7⋊C8C22semidirect
139. #89661C22semidirect
140. #89658C22semidirect
141. #89655C22semidirect
144. #89650C22semidirect
145. #89648C22semidirect
146. #89644C22semidirect
147. #89641C22semidirect
152. #89628C22semidirect
153. #89627C22semidirect
154. #89624C22semidirect
155. #89589C22semidirect
156. #89589C22semidirect
157. #89588C22semidirect
159. #89584C22semidirect
161. #89579C22semidirect
162. #89579C22semidirect
169. #89572C22semidirect
170. #89572C22semidirect
171. #89569C22semidirect
172. #89567C22semidirect
173. #89567C22semidirect
174. #89564C22semidirect
175. #89561C22semidirect
176. #89560C22semidirect
177. #89560C22semidirect
178. #89560C22semidirect
179. #89557C22semidirect
184. #89536C22semidirect
185. #89532C22semidirect
186. #89530C22semidirect
187. #89486C22semidirect
188. #89485C22semidirect
189. #89484C22semidirect
190. #89483C22semidirect
191. #89483C22semidirect
192. #89482C22semidirect
193. #89482C22semidirect
198. #89480C22semidirect
199. #89480C22semidirect
200. #89480C22semidirect
201. #89480C22semidirect
202. #89474C22semidirect
488. #3181D7semidirect
723. #1131#41semidirect
727. C8×D7#41semidirect
763. #533C2×D7semidirect
782. #501C2×D7semidirect
788. #497C2×D7semidirect
796. #491C2×D7semidirect
802. #489C2×D7semidirect
821. #467C2×D7semidirect
822. #467C2×D7semidirect
849. #441C2×D7semidirect
850. #441C2×D7semidirect
857. #440C2×D7semidirect
858. #440C2×D7semidirect
896. C2×#97C2×D7semidirect
1665. C7#60706semidirect

Maximal subgroups

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

subgroupindex
#117433472
#117432242
C7×#31812
#117407882
#117405792
#117394192
#117394062
#117393172
#117393072
#117391832
#117391742
#117391252
#117391112
#117382042
#117382032
#117381902
#117381852
#117381022
D7×#4652
#117380832
#117380772
#117372772
#117372752
#117372702
#117372682
#117372222
#117372202
#117372152
#117372122
#117359452
C2×#894802
#607067