Finite Group Databasebeta

← #14223981

Subgroups — #14223981

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#11743308C211yesmaximal, characteristic, complemented
3C7×#3167C211yesmaximal, characteristic, complemented
4#11740791C211yesmaximal, characteristic, complemented
5#11740738C211yesmaximal, characteristic, complemented
6#11739337C211yesmaximal, characteristic, complemented
7#11739332C211yesmaximal, characteristic, complemented
8#11739208C211yesmaximal, characteristic, complemented
9#11739198C211yesmaximal, characteristic, complemented
10#11739044C211yesmaximal, characteristic, complemented
11#11739039C211yesmaximal, characteristic, complemented
12#11739008C211yesmaximal, characteristic, complemented
13#11739003C211yesmaximal, characteristic, complemented
14#11738103C211yesmaximal, characteristic, complemented
15#11738102C211yesmaximal, characteristic, complemented
16#11738101C211yesmaximal, characteristic, complemented
17D7×#465C211yesmaximal, characteristic, complemented
18#11738084C211yesmaximal, characteristic, complemented
19#11738083C211yesmaximal, characteristic, complemented
20#11738078C211yesmaximal, characteristic, complemented
21#11738077C211yesmaximal, characteristic, complemented
22#11737114C211yesmaximal, characteristic, complemented
23#11737113C211yesmaximal, characteristic, complemented
24#11737112C211yesmaximal, characteristic, complemented
25#11737111C211yesmaximal, characteristic, complemented
26#11737095C211yesmaximal, characteristic, complemented
27#11737094C211yesmaximal, characteristic, complemented
28#11737093C211yesmaximal, characteristic, complemented
29#11737092C211yesmaximal, characteristic, complemented
30#11735914C211yesmaximal, characteristic, complemented
31C2×#89461C211yesmaximal, characteristic, complemented
32C7×#533C2211yescharacteristic, complemented
33C7×#532C2211yescharacteristic
34#90520—21no—
35#90515—21no—
36C2×#6479C2211yescharacteristic
37C2×#6478C2211yescharacteristic
38C2×#6477C2211yescharacteristic
39C2×D7×SD16C2211yescharacteristic
40C22×#1131C2211yescharacteristic
41C22×C8×D7C2211yescharacteristic
42#90424C2211yescharacteristic
43#90424C2211yescharacteristic, complemented
44#90422C2211yescharacteristic, complemented
45#90420C2211yescharacteristic
46#90420C2211yescharacteristic
47#90415C2211yescharacteristic
48#90410C2211yescharacteristic
49#90406C2211yescharacteristic
50#90384—21no—
51#90384—21no—
52#90370—21no—
53#90361—21no—
54#90328—21no—
55#90327—21no—
56#90318C2211yescharacteristic
57D7×C22⋊Q8C2211yescharacteristic
58#90315C2211yescharacteristic, complemented
59#90313C2211yescharacteristic, complemented
60#90301—21no—
61#90297C2211yescharacteristic
62D7×#121C2211yescharacteristic
63#90292—21no—
64#90291C2211yescharacteristic
65#90287C2211yescharacteristic
66#90274C2211yescharacteristic, complemented
67#90273C2211yescharacteristic, complemented
68#90272—21no—
69#90265C2211yescharacteristic
70#90263C2211yescharacteristic
71#90259—21no—
72#90253C2211yescharacteristic
73#90252C2211yescharacteristic
74#90247—21no—
75#90237C2211yescharacteristic
76#90236C2211yescharacteristic
77#90231—21no—
78#90222—21no—
79#90218—21no—
80#90170C2211yescharacteristic
81#90170C2211yescharacteristic, complemented
82C2×#6435C2211yescharacteristic
83C7×#498C2211yescharacteristic, complemented
84C7×#492C2211yescharacteristic, complemented
85C7×#487C2211yescharacteristic, complemented
86C7×#486C2211yescharacteristic, complemented
87C7×#465C2211yescharacteristic
88C7×#465C2211yescharacteristic
89C7×#465C2211yescharacteristic, complemented
90C7×#465C2211yescharacteristic, complemented
91C4×C7×SD16C2211yescharacteristic, complemented
92C4×C7×SD16C2211yescharacteristic, complemented
93C4×C7×SD16C2211yescharacteristic, complemented
94C4×C7×SD16C2211yescharacteristic, complemented
95C2×C4×C7×C8C2211yescharacteristic, complemented
96#89948C2211yescharacteristic, complemented
97#89947C2211yescharacteristic, complemented
98#89946C2211yescharacteristic
99#89946C2211yescharacteristic, complemented
100#89943C2211yescharacteristic
101#89943C2211yescharacteristic, complemented
102#89940C2211yescharacteristic, complemented
103#89939C2211yescharacteristic, complemented
104#89936C2211yescharacteristic, complemented
105#89936C2211yescharacteristic, complemented
106SD16×Dic7C2211yescharacteristic, complemented
107SD16×Dic7C2211yescharacteristic, complemented
108#89888C2211yescharacteristic, complemented
109#89887C2211yescharacteristic
110#89886C2211yescharacteristic
111#89886C2211yescharacteristic, complemented
112C2×#6389C2211yescharacteristic, complemented
113C2×C8×Dic7C2211yescharacteristic, complemented
114#89861C2211yescharacteristic, complemented
115#89861C2211yescharacteristic, complemented
116#89858C2211yescharacteristic, complemented
117#89854C2211yescharacteristic, complemented
118#89852C2211yescharacteristic, complemented
119#89852C2211yescharacteristic, complemented
120#89846C2211yescharacteristic, complemented
121#89843C2211yescharacteristic, complemented
122#89823C2211yescharacteristic, complemented
123#89823C2211yescharacteristic, complemented
124#89820C2211yescharacteristic
125#89820C2211yescharacteristic
126#89813C2211yescharacteristic
127#89813C2211yescharacteristic, complemented
128#89810C2211yescharacteristic
129#89810C2211yescharacteristic, complemented
130#89802C2211yescharacteristic, complemented
131#89802C2211yescharacteristic, complemented
132#89798C2211yescharacteristic, complemented
133#89798C2211yescharacteristic, complemented
134#89790C2211yescharacteristic, complemented
135#89790C2211yescharacteristic, complemented
136#89786C2211yescharacteristic, complemented
137#89786C2211yescharacteristic, complemented
138C2×#6377C2211yescharacteristic, complemented
139#89641C2211yescharacteristic, complemented
140#89640C2211yescharacteristic, complemented
141#89637C2211yescharacteristic
142#89636C2211yescharacteristic
143#89636C2211yescharacteristic, complemented
144#89633C2211yescharacteristic
145#89633C2211yescharacteristic
146#89632C2211yescharacteristic
147D7×#106C2211yescharacteristic
148#89630C2211yescharacteristic, complemented
149#89628C2211yescharacteristic, complemented
150#89628C2211yescharacteristic, complemented
151#89627C2211yescharacteristic, complemented
152#89625C2211yescharacteristic, complemented
153#89624C2211yescharacteristic, complemented
154#89624C2211yescharacteristic, complemented
155#89589C2211yescharacteristic, complemented
156#89588C2211yescharacteristic, complemented
157#89585C2211yescharacteristic, complemented
158#89584C2211yescharacteristic
159#89579C2211yescharacteristic
160#89576C2211yescharacteristic
161#89575C2211yescharacteristic
162#89574C2211yescharacteristic
163D7×#103C2211yescharacteristic
164#89572C2211yescharacteristic, complemented
165#89569C2211yescharacteristic, complemented
166#89567C2211yescharacteristic, complemented
167#89564C2211yescharacteristic, complemented
168#89562C2211yescharacteristic, complemented
169#89561C2211yescharacteristic, complemented
170#89560C2211yescharacteristic, complemented
171#89557C2211yescharacteristic, complemented
172#89554C2211yescharacteristic
173#89552C2211yescharacteristic, complemented
174#89550C2211yescharacteristic
175#89547C2211yescharacteristic, complemented
176#89544C2211yescharacteristic
177#89543C2211yescharacteristic
178#89542C2211yescharacteristic
179D7×#102C2211yescharacteristic
180#89540C2211yescharacteristic, complemented
181#89537C2211yescharacteristic, complemented
182#89536C2211yescharacteristic, complemented
183#89532C2211yescharacteristic, complemented
184#89530C2211yescharacteristic, complemented
185#89529C2211yescharacteristic, complemented
186#89528C2211yescharacteristic, complemented
187C4×Dic28C2211yescharacteristic, complemented
188#89469C2211yescharacteristic, complemented
189#89469C2211yescharacteristic, complemented
190#89468C2211yescharacteristic, complemented
191C4×D56C2211yescharacteristic, complemented
192C4×#1132C2211yescharacteristic, complemented
193C4×#1132C2211yescharacteristic, complemented
194#89461C2211yescharacteristic
195#89461C2211yescharacteristic
196#89461C2211yescharacteristic
197#89461C2211yescharacteristic
198#89461C2211yescharacteristic, complemented
199#89461C2211yescharacteristic, complemented
200#89461C2211yescharacteristic, complemented
201#89461C2211yescharacteristic, complemented
202#89455C2211yescharacteristic, complemented
203#60706—71nomaximal, Sylow
204C2×C7×#41—21no—
205C2×#1161C2311yescharacteristic
206C2×Q8×D7C2311yescharacteristic
207C2×#1159—21no—
208C2×#1159C2311yescharacteristic
209C2×D4×D7—21no—
210C2×D4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C2×C7×SD16C2311yescharacteristic
213C2×C7×SD16C2311yescharacteristic
214C2×C7×SD16C2311yescharacteristic
215C2×C7×SD16C2311yescharacteristic
216C22×C7×C8C2311yescharacteristic
217C22×C7×C8C2311yescharacteristic
218C7×C4⋊Q8C2311yescharacteristic
219C7×C4⋊Q8C2311yescharacteristic
220C7×C4⋊Q8C2311yescharacteristic
221C7×#127C2311yescharacteristic
222C7×#125—21no—
223C7×#124—21no—
224C7×C22⋊Q8—21no—
225C7×C22⋊Q8C2311yescharacteristic
226C7×C22⋊Q8C2311yescharacteristic
227C7×#121—21no—
228C7×#121C2311yescharacteristic
229C7×#121C2311yescharacteristic
230C4×C7×Q8—21no—
231C4×C7×Q8C2311yescharacteristic
232C4×C7×Q8C2311yescharacteristic
233C4×C7×D4—21no—
234C4×C7×D4C2311yescharacteristic
235C4×C7×D4C2311yescharacteristic
236C7×#117—21no—
237C2×C42×C7C2311yescharacteristic
238#6510—21no—
239#6510—21no—
240#6510C2311yescharacteristic
241#6509—21no—
242#6509—21no—
243#6509—21no—
244#6509—21no—
245#6509C2311yescharacteristic
246#6509C2311yescharacteristic
247Q8×Dic7C2311yescharacteristic
248Q8×Dic7C2311yescharacteristic
249#6507—21no—
250#6507—21no—
251#6507C2311yescharacteristic
252C2×#1144C2311yescharacteristic
253C2×#1144C2311yescharacteristic
254C2×#1143C2311yescharacteristic
255C2×#1143C2311yescharacteristic
256#6503C2311yescharacteristic
257#6502—21no—
258#6502—21no—
259#6502—21no—
260#6502—21no—
261#6502—21no—
262#6502—21no—
263#6501C2311yescharacteristic
264#6501C2311yescharacteristic
265#6500—21no—
266#6500—21no—
267#6500—21no—
268#6499C2311yescharacteristic
269#6498—21no—
270#6498—21no—
271#6498—21no—
272D4×Dic7—21no—
273D4×Dic7—21no—
274D4×Dic7C2311yescharacteristic
275D4×Dic7C2311yescharacteristic
276C2×#1142C2311yescharacteristic
277C2×#1142C2311yescharacteristic
278C2×#1141C2311yescharacteristic
279C2×#1141C2311yescharacteristic
280#6493—21no—
281#6493C2311yescharacteristic
282#6493C2311yescharacteristic
283#6492—21no—
284#6492—21no—
285#6492—21no—
286#6492—21no—
287C4×C22⋊D7—21no—
288C4×C22⋊D7—21no—
289C4×C22⋊D7—21no—
290C4×C22⋊D7—21no—
291C2×(C2×D7)⋊C4—21no—
292C2×(C2×D7)⋊C4D411yescharacteristic
293C2×(C2×D7)⋊C4D411yescharacteristic
294#6487—21no—
295#6487C2311yescharacteristic
296#6487C2311yescharacteristic
297C2×Dic7⋊C4—21no—
298C2×Dic7⋊C4D411yescharacteristic
299C2×Dic7⋊C4D411yescharacteristic
300C2×C4×Dic7C2311yescharacteristic
301C22×C7⋊C8C2311yescharacteristic
302C22×C7⋊C8C2311yescharacteristic
303#6479—24no—
304#6478—24no—
305#6477—24no—
306D7×SD16—24no—
307C2×Dic28C2311yescharacteristic
308C2×D56C2311yescharacteristic
309C2×#1132C2311yescharacteristic
310C2×#1132C2311yescharacteristic
311C2×#1131—24no—
312C2×#1131C2311yescharacteristic
313C2×#1131C2311yescharacteristic
314C2×#1131C2311yescharacteristic
315C2×#1131C2311yescharacteristic
316C2×C8×D7—24no—
317C2×C8×D7C2311yescharacteristic
318C2×C8×D7C2311yescharacteristic
319C2×C8×D7C2311yescharacteristic
320C2×C8×D7C2311yescharacteristic
321#6461—21no—
322#6461—21no—
323#6461—21no—
324#6461—21no—
325#6461—21no—
326#6461—21no—
327#6460C2311yescharacteristic
328#6460C2311yescharacteristic
329#6459—21no—
330#6459—21no—
331#6459—21no—
332#6459—21no—
333#6459—21no—
334#6459—21no—
335#6458C2311yescharacteristic
336#6458C2311yescharacteristic
337#6457—21no—
338#6457—21no—
339#6457—21no—
340#6457—21no—
341#6457—21no—
342#6457—21no—
343#6456—21no—
344#6456—21no—
345#6456C2311yescharacteristic
346#6456C2311yescharacteristic
347#6455—21no—
348#6455—21no—
349#6455C2311yescharacteristic
350#6455C2311yescharacteristic
351D7×C4⋊C4—21no—
352D7×C4⋊C4—21no—
353D7×C4⋊C4C2311yescharacteristic
354D7×C4⋊C4C2311yescharacteristic
355#6453C2311yescharacteristic
356#6453C2311yescharacteristic
357#6452—21no—
358#6452—21no—
359#6452—21no—
360#6452—21no—
361#6452—21no—
362#6452—21no—
363#6451C2311yescharacteristic
364#6451C2311yescharacteristic
365#6450—21no—
366#6450—21no—
367#6450C2311yescharacteristic
368#6450C2311yescharacteristic
369#6449—21no—
370#6448—21no—
371#6448—21no—
372#6447—21no—
373#6447—21no—
374#6446—21no—
375#6446—21no—
376#6445—21no—
377(C22⋊D7)⋊C4—21no—
378(C22⋊D7)⋊C4—21no—
379(C22⋊D7)⋊C4—21no—
380(C22⋊D7)⋊C4—21no—
381(C22⋊D7)⋊C4—21no—
382(C22⋊D7)⋊C4—21no—
383D7×C22⋊C4—21no—
384D7×C22⋊C4—21no—
385D7×C22⋊C4—21no—
386#6442—21no—
387#6442—21no—
388#6441—21no—
389#6441—21no—
390#6440—21no—
391#6440—21no—
392#6440—21no—
393#6439—21no—
394#6439—21no—
395#6439—21no—
396#6439—21no—
397#6438—21no—
398#6438C2311yescharacteristic
399#6438C2311yescharacteristic
400C4×D28—21no—
401C4×D28C2311yescharacteristic
402C4×D28C2311yescharacteristic
403#6435—21no—
404#6435—21no—
405#6435—21no—
406#6435—21no—
407#6435D411yescharacteristic
408#6435D411yescharacteristic
409#6435D411yescharacteristic
410#6435D411yescharacteristic
411#6435C2311yescharacteristic
412#6435C2311yescharacteristic
413#6435C2311yescharacteristic
414#6435C2311yescharacteristic
415#6433—21no—
416#6433C2311yescharacteristic
417#6433C2311yescharacteristic
418C4×Dic14—21no—
419C4×Dic14C2311yescharacteristic
420C4×Dic14C2311yescharacteristic
421C7×#106C2311yescharacteristic
422C7×#106C2311yescharacteristic
423C7×#106C2311yescharacteristic
424C7×#106C2311yescharacteristic
425C7×#103C2311yescharacteristic
426C7×#103C2311yescharacteristic
427C7×#103C2311yescharacteristic
428C7×#103C2311yescharacteristic
429C7×#102C2311yescharacteristic
430C7×#102C2311yescharacteristic
431C7×#102C2311yescharacteristic
432C7×#102C2311yescharacteristic
433C4×C7×C8C2311yescharacteristic
434C4×C7×C8C2311yescharacteristic
435C4×C7×C8C2311yescharacteristic
436C4×C7×C8C2311yescharacteristic
437#6409C2311yescharacteristic
438#6409C2311yescharacteristic
439#6409C2311yescharacteristic
440#6409C2311yescharacteristic
441#6406C2311yescharacteristic
442#6406C2311yescharacteristic
443#6406C2311yescharacteristic
444#6406C2311yescharacteristic
445#6395C2311yescharacteristic
446#6395C2311yescharacteristic
447#6395C2311yescharacteristic
448#6395C2311yescharacteristic
449#6392C2311yescharacteristic
450#6392C2311yescharacteristic
451#6391C2311yescharacteristic
452#6391C2311yescharacteristic
453#6390C2311yescharacteristic
454#6390C2311yescharacteristic
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#6384C2311yescharacteristic
468#6384C2311yescharacteristic
469#6383C2311yescharacteristic
470#6383C2311yescharacteristic
471#6383C2311yescharacteristic
472#6383C2311yescharacteristic
473#6382C2311yescharacteristic
474#6382C2311yescharacteristic
475#6382C2311yescharacteristic
476#6382C2311yescharacteristic
477#6381C2311yescharacteristic
478#6381C2311yescharacteristic
479#6381C2311yescharacteristic
480#6381C2311yescharacteristic
481#6377C2311yescharacteristic
482#6377C2311yescharacteristic
483#6377C2311yescharacteristic
484#6377C2311yescharacteristic
485#3495—71no—
486#3494—71no—
487#3181—71no—
488#3181—71no—
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#3167D711yescharacteristic, complemented
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
518C7×#41—82no—
519C2×C7×Q8—21no—
520C2×C7×Q8—21no—
521C2×C7×Q8C2411yescharacteristic
522C2×C7×Q8C2411yescharacteristic
523C2×C7×D4—21no—
524C2×C7×D4—21no—
525C2×C7×D4—21no—
526C2×C7×D4—21no—
527C2×C7×D4C2411yescharacteristic
528C2×C7×D4C2411yescharacteristic
529C22×C4×C7—21no—
530C22×C4×C7—21no—
531C22×C4×C7C2×D411yescharacteristic
532C22×C4×C7C2×D411yescharacteristic
533C22×C4×C7C2411yescharacteristic
534C2×C22⋊D7—21no—
535C2×C22⋊D7—21no—
536C2×C22⋊D7—21no—
537C2×C22⋊D7—21no—
538C2×C22⋊D7—21no—
539C2×C22⋊D7—21no—
540C2×C22⋊D7—21no—
541C2×C22⋊D7—21no—
542C22×Dic7—21no—
543C22×Dic7—21no—
544C22×Dic7—21no—
545C22×Dic7C2×D411yescharacteristic
546C22×Dic7C2×D411yescharacteristic
547C22×Dic7C2×D411yescharacteristic
548#1161—22no—
549#1161—22no—
550Q8×D7—22no—
551Q8×D7—22no—
552#1159—22no—
553#1159—22no—
554#1159—82no—
555D4×D7—22no—
556D4×D7—22no—
557D4×D7—82no—
558C2×D28—21no—
559C2×D28—21no—
560C2×D28—21no—
561C2×D28C2411yescharacteristic
562C2×D28C2411yescharacteristic
563C2×C4×D7—22no—
564C2×C4×D7—22no—
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×Dic14C2411yescharacteristic
581C2×Dic14C2411yescharacteristic
582C7×SD16—22no—
583C7×SD16—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⋊C4C2411yescharacteristic
601C7×C4⋊C4C2411yescharacteristic
602C7×C4⋊C4C2411yescharacteristic
603C7×C4⋊C4C2411yescharacteristic
604C7×C22⋊C4—21no—
605C7×C22⋊C4—21no—
606C7×C22⋊C4—21no—
607C7×C22⋊C4—21no—
608C7×C22⋊C4—21no—
609C7×C22⋊C4—21no—
610C42×C7—21no—
611C42×C7—21no—
612C42×C7C2×D411yescharacteristic
613C42×C7C2×D411yescharacteristic
614C42×C7C2411yescharacteristic
615C42×C7C2411yescharacteristic
616C22⋊Dic7—21no—
617C22⋊Dic7—21no—
618C22⋊Dic7—21no—
619C22⋊Dic7—21no—
620C22⋊Dic7—21no—
621C22⋊Dic7—21no—
622C22⋊Dic7—21no—
623C22⋊Dic7—21no—
624#1144—22no—
625#1144—22no—
626#1143—22no—
627#1143—22no—
628#1142—22no—
629#1142—22no—
630#1141—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)⋊C4C2×D411yescharacteristic
653(C2×D7)⋊C4C2×D411yescharacteristic
654(C2×D7)⋊C4C2×D411yescharacteristic
655(C2×D7)⋊C4C2×D411yescharacteristic
656(C2×D7)⋊C4C2×D411yescharacteristic
657(C2×D7)⋊C4C2×D411yescharacteristic
658(C2×D7)⋊C4C2×D411yescharacteristic
659(C2×D7)⋊C4C2×D411yescharacteristic
660C4⋊Dic7—21no—
661C4⋊Dic7—21no—
662C4⋊Dic7—21no—
663C4⋊Dic7—21no—
664C4⋊Dic7—21no—
665C4⋊Dic7—21no—
666C4⋊Dic7C2411yescharacteristic
667C4⋊Dic7C2411yescharacteristic
668C4⋊Dic7C2411yescharacteristic
669C4⋊Dic7C2411yescharacteristic
670Dic7⋊C4—21no—
671Dic7⋊C4—21no—
672Dic7⋊C4—21no—
673Dic7⋊C4—21no—
674Dic7⋊C4—21no—
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⋊C4C2×D411yescharacteristic
691Dic7⋊C4C2×D411yescharacteristic
692Dic7⋊C4C2×D411yescharacteristic
693Dic7⋊C4C2×D411yescharacteristic
694Dic7⋊C4C2×D411yescharacteristic
695Dic7⋊C4C2×D411yescharacteristic
696Dic7⋊C4C2×D411yescharacteristic
697Dic7⋊C4C2×D411yescharacteristic
698C4×Dic7—21no—
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
716Dic28—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#532C2×D711yescharacteristic
766#529—71no—
767#529—71no—
768#529—71no—
769#529—71no—
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#501—71no—
783#499—71no—
784#499—71no—
785#498—71no—
786#498C2×D711yescharacteristic, complemented
787#497—71no—
788#497—71no—
789#496—71no—
790#496—71no—
791#495—71no—
792#495—71no—
793#492—71no—
794#492C2×D711yescharacteristic, complemented
795#491—71no—
796#491—71no—
797#490—71no—
798#490—71no—
799#489—71no—
800#489—71no—
801#489—71no—
802#489—71no—
803#488—71no—
804#488—71no—
805#488—71no—
806#488—71no—
807#487—71no—
808#487C2×D711yescharacteristic, complemented
809#486—71no—
810#486C2×D711yescharacteristic, complemented
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#467—71no—
822#467—71no—
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#465C2×D711yescharacteristic
840#465C2×D711yescharacteristic
841#465C2×D711yescharacteristic, complemented
842#465C2×D711yescharacteristic, complemented
843#442—71no—
844#442—71no—
845#442—71no—
846#442—71no—
847#441—71no—
848#441—71no—
849#441—71no—
850#441—71no—
851#440—71no—
852#440—71no—
853#440—71no—
854#440—71no—
855#440—71no—
856#440—71no—
857#440—71no—
858#440—71no—
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×SD16C2×D711yescharacteristic, complemented
870C4×SD16C2×D711yescharacteristic, complemented
871C4×SD16C2×D711yescharacteristic, complemented
872C4×SD16C2×D711yescharacteristic, complemented
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×#97—71no—
897C2×C4×C8—71no—
898C2×C4×C8C2×D711yescharacteristic, complemented
899C23×C7—21no—
900C23×C7—21no—
901C23×C7C22×D411yescharacteristic
902C22×D7—22no—
903C22×D7—22no—
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—81no—
917C7×Q8—81no—
918C7×D4—21no—
919C7×D4—21no—
920C7×D4—21no—
921C7×D4—21no—
922C7×D4—42no—
923C7×D4—42no—
924C7×D4—81no—
925C7×D4—81no—
926C2×C4×C7—22no—
927C2×C4×C7—21no—
928C2×C4×C7—21no—
929C2×C4×C7—21no—
930C2×C4×C7—21no—
931C2×C4×C7—21no—
932C2×C4×C7—21no—
933C2×C4×C7—21no—
934C2×C4×C7—21no—
935C2×C4×C7—41no—
936C2×C4×C7—81no—
937C2×C4×C7—81no—
938C2×C4×C7C22×D411yescharacteristic
939C2×C4×C7C22×D411yescharacteristic
940C2×C4×C7C22×D411yescharacteristic
941C2×C4×C7C22×D411yescharacteristic
942C2×C4×C7C22×D411yescharacteristic
943C2×C4×C7C2511yescharacteristic
944C22⋊D7—42no—
945C22⋊D7—42no—
946C22⋊D7—42no—
947C22⋊D7—42no—
948C22⋊D7—81no—
949C22⋊D7—81no—
950C22⋊D7—81no—
951C22⋊D7—81no—
952C2×Dic7—22no—
953C2×Dic7—22no—
954C2×Dic7—21no—
955C2×Dic7—21no—
956C2×Dic7—21no—
957C2×Dic7—21no—
958C2×Dic7—21no—
959C2×Dic7—21no—
960C2×Dic7—41no—
961C2×Dic7—42no—
962C2×Dic7—81no—
963C2×Dic7—81no—
964C2×Dic7C22×D411yescharacteristic
965C2×Dic7C22×D411yescharacteristic
966C2×Dic7C22×D411yescharacteristic
967C2×Dic7C22×D411yescharacteristic
968C2×Dic7C22×D411yescharacteristic
969C2×Dic7C22×D411yescharacteristic
970D28—21no—
971D28—21no—
972D28—21no—
973D28—21no—
974D28—42no—
975D28—81no—
976D28—81no—
977C4×D7—22no—
978C4×D7—21no—
979C4×D7—21no—
980C4×D7—22no—
981C4×D7—42no—
982C4×D7—42no—
983C4×D7—81no—
984C4×D7—81no—
985C4×D7—81no—
986C4×D7—81no—
987C4×D7—81no—
988C4×D7—81no—
989C4×D7C2×#4112yes—
990C4×D7C2×#4112yes—
991Dic14—21no—
992Dic14—21no—
993Dic14—21no—
994Dic14—21no—
995Dic14—42no—
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—21no—
1007C2×#41—71no—
1008C2×#41—71no—
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×Q16—71no—
1019C2×Q16—71no—
1020C2×SD16—71no—
1021C2×SD16—71no—
1022C2×SD16—71no—
1023C2×SD16—71no—
1024C2×SD16—71no—
1025C2×SD16—71no—
1026C2×SD16—144no—
1027C2×SD16C22×D711yescharacteristic
1028C2×SD16C22×D711yescharacteristic
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—141no—
1052C4⋊Q8—141no—
1053C4⋊Q8C22×D711yescharacteristic
1054C4⋊Q8C22×D711yescharacteristic
1055C4⋊Q8C22×D711yescharacteristic
1056#127—71no—
1057#127C22×D711yescharacteristic
1058#126—141no—
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—71no—
1075#125—141no—
1076#125—141no—
1077#125—141no—
1078#125—141no—
1079#125—141no—
1080#125—141no—
1081#125—141no—
1082#124—21no—
1083#124—71no—
1084#124—71no—
1085#124—71no—
1086#124—71no—
1087#124—141no—
1088#124—141no—
1089#124—141no—
1090#124—141no—
1091#124—141no—
1092#123—141no—
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—71no—
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⋊Q8—141no—
1128C22⋊Q8C22×D711yescharacteristic
1129C22⋊Q8C22×D711yescharacteristic
1130#121—21no—
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#121C22×D711yescharacteristic
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—71no—
1159C4×Q8—141no—
1160C4×Q8—141no—
1161C4×Q8—141no—
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—141no—
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×D4C22×D711yescharacteristic
1187C4×D4C22×D711yescharacteristic
1188#117—21no—
1189#117—71no—
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—141no—
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#107—71no—
1228#107—71no—
1229#106—71no—
1230#106—71no—
1231#106—71no—
1232#106—71no—
1233#106—71no—
1234#106—71no—
1235#106C22×D711yescharacteristic
1236#106C22×D711yescharacteristic
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#103—71no—
1250#103—71no—
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#102C22×D711yescharacteristic
1268#102C22×D711yescharacteristic
1269#102C22×D711yescharacteristic
1270#102C22×D711yescharacteristic
1271#97—71no—
1272#97—71no—
1273#97—71no—
1274#97—71no—
1275#97—71no—
1276#97—71no—
1277#97—71no—
1278#97—71no—
1279C4×C8—71no—
1280C4×C8—71no—
1281C4×C8—71no—
1282C4×C8—71no—
1283C4×C8C22×D711yescharacteristic
1284C4×C8C22×D711yescharacteristic
1285C4×C8C22×D711yescharacteristic
1286C4×C8C22×D711yescharacteristic
1287C22×C7—21no—
1288C22×C7—21no—
1289C22×C7—41no—
1290C22×C7—41no—
1291C22×C7—41no—
1292C22×C7—41no—
1293C22×C7—41no—
1294C22×C7—41no—
1295C22×C7#57712yes—
1296C22×C7C23×D411yescharacteristic
1297C2×D7—21no—
1298C2×D7—21no—
1299C2×D7—21no—
1300C2×D7—21no—
1301C2×D7—21no—
1302C2×D7—44no—
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×C7C22×#4111yescharacteristic
1323C4×C7C22×#4111yescharacteristic
1324Dic7—21no—
1325Dic7—21no—
1326Dic7—21no—
1327Dic7—21no—
1328Dic7—21no—
1329Dic7—41no—
1330Dic7—41no—
1331Dic7—41no—
1332Dic7—41no—
1333Dic7—41no—
1334Dic7—41no—
1335Dic7#53212yes—
1336C24—71no—
1337C24—141no—
1338#41—82no—
1339#41—142no—
1340#41—142no—
1341#41—142no—
1342#41—142no—
1343#41—562no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—71no—
1347C2×Q8—71no—
1348C2×Q8—141no—
1349C2×Q8—141no—
1350C2×Q8—141no—
1351C2×Q8—142no—
1352C2×Q8—142no—
1353C2×Q8C23×D711yescharacteristic
1354C2×Q8C23×D711yescharacteristic
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—71no—
1360C2×D4—71no—
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—562no—
1375C2×D4C23×D711yescharacteristic
1376C2×D4C23×D711yescharacteristic
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—71no—
1380C22×C4—71no—
1381C22×C4—71no—
1382C22×C4—71no—
1383C22×C4—71no—
1384C22×C4—71no—
1385C22×C4—71no—
1386C22×C4—142no—
1387C22×C4—142no—
1388C22×C4—141no—
1389C22×C4—141no—
1390C22×C4—141no—
1391C22×C4—141no—
1392C22×C4—141no—
1393C22×C4—141no—
1394C22×C4—141no—
1395C22×C4—141no—
1396C22×C4—141no—
1397C22×C4—141no—
1398C22×C4—141no—
1399C22×C4D4×D711yescharacteristic
1400C22×C4D4×D711yescharacteristic
1401C22×C4C23×D711yescharacteristic
1402Q16—142no—
1403Q16—142no—
1404Q16—142no—
1405SD16—22no—
1406SD16—22no—
1407SD16—22no—
1408SD16—22no—
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—71no—
1447C4⋊C4—71no—
1448C4⋊C4—71no—
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—141no—
1459C4⋊C4—141no—
1460C4⋊C4—141no—
1461C4⋊C4—141no—
1462C4⋊C4—141no—
1463C4⋊C4—141no—
1464C4⋊C4—141no—
1465C4⋊C4—141no—
1466C4⋊C4—141no—
1467C4⋊C4—141no—
1468C4⋊C4—141no—
1469C4⋊C4—141no—
1470C4⋊C4—141no—
1471C4⋊C4—141no—
1472C4⋊C4—141no—
1473C4⋊C4—141no—
1474C4⋊C4—141no—
1475C4⋊C4—141no—
1476C4⋊C4—141no—
1477C4⋊C4—141no—
1478C4⋊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—71no—
1495C22⋊C4—71no—
1496C22⋊C4—71no—
1497C22⋊C4—71no—
1498C22⋊C4—71no—
1499C22⋊C4—71no—
1500C22⋊C4—71no—
1501C22⋊C4—71no—
1502C22⋊C4—141no—
1503C22⋊C4—141no—
1504C22⋊C4—141no—
1505C22⋊C4—141no—
1506C22⋊C4—141no—
1507C22⋊C4—141no—
1508C22⋊C4—141no—
1509C22⋊C4—141no—
1510C22⋊C4—141no—
1511C22⋊C4—141no—
1512C22⋊C4—141no—
1513C22⋊C4—141no—
1514C22⋊C4—141no—
1515C22⋊C4—141no—
1516C22⋊C4—141no—
1517C22⋊C4—141no—
1518C22⋊C4—141no—
1519C22⋊C4—141no—
1520C22⋊C4—141no—
1521C22⋊C4—141no—
1522C22⋊C4—141no—
1523C22⋊C4—141no—
1524C22⋊C4—141no—
1525C22⋊C4—141no—
1526C22⋊C4—141no—
1527C22⋊C4—141no—
1528C22⋊C4—141no—
1529C22⋊C4—141no—
1530C42—21no—
1531C42—21no—
1532C42—71no—
1533C42—71no—
1534C42—71no—
1535C42—71no—
1536C42—141no—
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×C7—81no—
1551C2×C7C2×#53211yescharacteristic
1552C2×C7C2×#57711yescharacteristic
1553C2×C7#358411yescharacteristic
1554D7—22no—
1555D7—41no—
1556D7—81no—
1557D7—81no—
1558C23—21no—
1559C23—21no—
1560C23—71no—
1561C23—71no—
1562C23—142no—
1563C23—142no—
1564C23—141no—
1565C23—141no—
1566C23—281no—
1567C23—282no—
1568C23—561no—
1569C23—561no—
1570C23C2×D4×D711yescharacteristic
1571Q8—21no—
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—81no—
1576Q8—81no—
1577Q8—141no—
1578Q8—141no—
1579Q8—141no—
1580Q8—141no—
1581Q8—282no—
1582Q8—561no—
1583Q8—561no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—42no—
1589D4—42no—
1590D4—81no—
1591D4—81no—
1592D4—141no—
1593D4—141no—
1594D4—141no—
1595D4—141no—
1596D4—282no—
1597D4—282no—
1598D4—282no—
1599D4—282no—
1600D4—282no—
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—41no—
1617C2×C4—71no—
1618C2×C4—72no—
1619C2×C4—72no—
1620C2×C4—71no—
1621C2×C4—71no—
1622C2×C4—71no—
1623C2×C4—71no—
1624C2×C4—71no—
1625C2×C4—81no—
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—141no—
1639C2×C4—282no—
1640C2×C4—282no—
1641C2×C4—282no—
1642C2×C4—281no—
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—41no—
1672C22—41no—
1673C22—41no—
1674C22—72no—
1675C22—141no—
1676C22—141no—
1677C22—141no—
1678C22—141no—
1679C22—141no—
1680C22—284no—
1681C22—281no—
1682C22—281no—
1683C22—281no—
1684C22—281no—
1685C22—281no—
1686C22—281no—
1687C22—1122no—
1688C22#9045312yes—
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—72no—
1702C4—141no—
1703C4—141no—
1704C4—141no—
1705C4—141no—
1706C4—141no—
1707C4—281no—
1708C4—281no—
1709C4—281no—
1710C4—281no—
1711C4—281no—
1712C4—281no—
1713C4C2×D7×#4111yescharacteristic
1714C4C2×D7×#4111yescharacteristic
1715C2—22no—
1716C2—81no—
1717C2—81no—
1718C2—142no—
1719C2—281no—
1720C2—561no—
1721C2—561no—
1722C2D7×#53211yescharacteristic
1723C2C2×#9045311yescharacteristic
1724C2#1174425511yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3167C2
socleC22×C7C23×D4
hypercenter#3167D7
hypocenterC7#60706
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3167

Complements

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

NH ≅ G/Ntype
1. #11743347C2semidirect
2. #11743308C2semidirect
3. C7×#3167C2semidirect
4. #11740791C2semidirect
5. #11740738C2semidirect
6. #11739337C2semidirect
7. #11739332C2semidirect
8. #11739208C2semidirect
9. #11739198C2semidirect
10. #11739044C2semidirect
11. #11739039C2semidirect
12. #11739008C2semidirect
13. #11739003C2semidirect
14. #11738103C2semidirect
15. #11738102C2semidirect
16. #11738101C2semidirect
17. D7×#465C2semidirect
18. #11738084C2semidirect
19. #11738083C2semidirect
20. #11738078C2semidirect
21. #11738077C2semidirect
22. #11737114C2semidirect
23. #11737113C2semidirect
24. #11737112C2semidirect
25. #11737111C2semidirect
26. #11737095C2semidirect
27. #11737094C2semidirect
28. #11737093C2semidirect
29. #11737092C2semidirect
30. #11735914C2semidirect
31. C2×#89461C2semidirect
32. C7×#533C22semidirect
43. #90424C22semidirect
44. #90422C22semidirect
58. #90315C22semidirect
59. #90313C22semidirect
66. #90274C22semidirect
67. #90273C22semidirect
81. #90170C22semidirect
83. C7×#498C22semidirect
84. C7×#492C22semidirect
85. C7×#487C22semidirect
86. C7×#486C22semidirect
89. C7×#465C22semidirect
90. C7×#465C22semidirect
91. C4×C7×SD16C22semidirect
92. C4×C7×SD16C22semidirect
93. C4×C7×SD16C22semidirect
94. C4×C7×SD16C22semidirect
95. C2×C4×C7×C8C22semidirect
96. #89948C22semidirect
97. #89947C22semidirect
99. #89946C22semidirect
101. #89943C22semidirect
102. #89940C22semidirect
103. #89939C22semidirect
104. #89936C22semidirect
105. #89936C22semidirect
106. SD16×Dic7C22semidirect
107. SD16×Dic7C22semidirect
108. #89888C22semidirect
111. #89886C22semidirect
112. C2×#6389C22semidirect
113. C2×C8×Dic7C22semidirect
114. #89861C22semidirect
115. #89861C22semidirect
116. #89858C22semidirect
117. #89854C22semidirect
118. #89852C22semidirect
119. #89852C22semidirect
120. #89846C22semidirect
121. #89843C22semidirect
122. #89823C22semidirect
123. #89823C22semidirect
127. #89813C22semidirect
129. #89810C22semidirect
130. #89802C22semidirect
131. #89802C22semidirect
132. #89798C22semidirect
133. #89798C22semidirect
134. #89790C22semidirect
135. #89790C22semidirect
136. #89786C22semidirect
137. #89786C22semidirect
138. C2×#6377C22semidirect
139. #89641C22semidirect
140. #89640C22semidirect
143. #89636C22semidirect
148. #89630C22semidirect
149. #89628C22semidirect
150. #89628C22semidirect
151. #89627C22semidirect
152. #89625C22semidirect
153. #89624C22semidirect
154. #89624C22semidirect
155. #89589C22semidirect
156. #89588C22semidirect
157. #89585C22semidirect
164. #89572C22semidirect
165. #89569C22semidirect
166. #89567C22semidirect
167. #89564C22semidirect
168. #89562C22semidirect
169. #89561C22semidirect
170. #89560C22semidirect
171. #89557C22semidirect
173. #89552C22semidirect
175. #89547C22semidirect
180. #89540C22semidirect
181. #89537C22semidirect
182. #89536C22semidirect
183. #89532C22semidirect
184. #89530C22semidirect
185. #89529C22semidirect
186. #89528C22semidirect
187. C4×Dic28C22semidirect
188. #89469C22semidirect
189. #89469C22semidirect
190. #89468C22semidirect
191. C4×D56C22semidirect
192. C4×#1132C22semidirect
193. C4×#1132C22semidirect
198. #89461C22semidirect
199. #89461C22semidirect
200. #89461C22semidirect
201. #89461C22semidirect
202. #89455C22semidirect
502. #3167D7semidirect
723. #1131#41semidirect
727. C8×D7#41semidirect
763. #533C2×D7semidirect
786. #498C2×D7semidirect
794. #492C2×D7semidirect
808. #487C2×D7semidirect
810. #486C2×D7semidirect
841. #465C2×D7semidirect
842. #465C2×D7semidirect
869. C4×SD16C2×D7semidirect
870. C4×SD16C2×D7semidirect
871. C4×SD16C2×D7semidirect
872. C4×SD16C2×D7semidirect
898. C2×C4×C8C2×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
#117433082
C7×#31672
#117407912
#117407382
#117393372
#117393322
#117392082
#117391982
#117390442
#117390392
#117390082
#117390032
#117381032
#117381022
#117381012
D7×#4652
#117380842
#117380832
#117380782
#117380772
#117371142
#117371132
#117371122
#117371112
#117370952
#117370942
#117370932
#117370922
#117359142
C2×#894612
#607067