Finite Group Databasebeta

← #14223995

Subgroups — #14223995

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#11743619C211yesmaximal, characteristic, complemented
2#11743553C211yesmaximal, characteristic, complemented
3C7×#3179C211yesmaximal, characteristic, complemented
4#11740901C211yesmaximal, characteristic, complemented
5#11740876C211yesmaximal, characteristic, complemented
6#11739419C211yesmaximal, characteristic, complemented
7#11739408C211yesmaximal, characteristic, complemented
8#11739292C211yesmaximal, characteristic, complemented
9#11739283C211yesmaximal, characteristic, complemented
10#11739084C211yesmaximal, characteristic, complemented
11#11739073C211yesmaximal, characteristic, complemented
12#11739008C211yesmaximal, characteristic, complemented
13#11739001C211yesmaximal, characteristic, complemented
14#11738309C211yesmaximal, characteristic, complemented
15#11738294C211yesmaximal, characteristic, complemented
16#11738251C211yesmaximal, characteristic, complemented
17#11738231C211yesmaximal, characteristic, complemented
18#11738159C211yesmaximal, characteristic, complemented
19#11738145C211yesmaximal, characteristic, complemented
20D7×#465C211yesmaximal, characteristic, complemented
21#11738081C211yesmaximal, characteristic, complemented
22#11737321C211yesmaximal, characteristic, complemented
23#11737313C211yesmaximal, characteristic, complemented
24#11737236C211yesmaximal, characteristic, complemented
25#11737222C211yesmaximal, characteristic, complemented
26#11737107C211yesmaximal, characteristic, complemented
27#11737093C211yesmaximal, characteristic, complemented
28#11737032C211yesmaximal, characteristic, complemented
29#11737028C211yesmaximal, characteristic, complemented
30#11736015C211yesmaximal, characteristic, complemented
31D7×#405C211yesmaximal, characteristic, complemented
32C7×#542C2211yescharacteristic, complemented
33C7×#540C2211yescharacteristic
34C2×#6478C2211yescharacteristic
35C2×D7×SD16C2211yescharacteristic
36C2×#6475C2211yescharacteristic
37C2×#6474C2211yescharacteristic
38C2×D7×M16C2211yescharacteristic
39C22×C8×D7C2211yescharacteristic
40#90420C2211yescharacteristic
41#90419C2211yescharacteristic, complemented
42#90407C2211yescharacteristic
43#90406C2211yescharacteristic
44#90399—21no—
45#90399—21no—
46#90382C2211yescharacteristic
47#90380C2211yescharacteristic
48#90371C2211yescharacteristic, complemented
49#90370—21no—
50#90366C2211yescharacteristic
51#90362—21no—
52#90352—21no—
53#90350—21no—
54#90350—21no—
55#90349—21no—
56#90346—21no—
57#90341—21no—
58#90330—21no—
59#90327—21no—
60D7×C22⋊Q8C2211yescharacteristic
61#90316C2211yescharacteristic, complemented
62#90310C2211yescharacteristic
63#90307—21no—
64#90303—21no—
65#90301—21no—
66#90297C2211yescharacteristic
67#90297C2211yescharacteristic
68D7×#121C2211yescharacteristic
69#90294C2211yescharacteristic
70#90294C2211yescharacteristic, complemented
71#90292—21no—
72#90269C2211yescharacteristic, complemented
73#90263C2211yescharacteristic
74#90248C2211yescharacteristic
75#90248C2211yescharacteristic, complemented
76#90239C2211yescharacteristic
77#90237C2211yescharacteristic
78#90237C2211yescharacteristic
79#90236C2211yescharacteristic
80#90225C2211yescharacteristic
81D7×#117C2211yescharacteristic
82#90209C2211yescharacteristic, complemented
83C7×#501C2211yescharacteristic, complemented
84C7×#496C2211yescharacteristic, complemented
85C7×#488C2211yescharacteristic, complemented
86C7×#486C2211yescharacteristic, complemented
87C7×#469C2211yescharacteristic
88C7×#468C2211yescharacteristic, complemented
89C7×#466C2211yescharacteristic, complemented
90C7×#465C2211yescharacteristic
91C7×#442C2211yescharacteristic, complemented
92C7×#440C2211yescharacteristic, complemented
93C4×C7×SD16C2211yescharacteristic, complemented
94C4×C7×D8C2211yescharacteristic, complemented
95C7×#405C2211yescharacteristic, complemented
96#89947C2211yescharacteristic, complemented
97#89943C2211yescharacteristic
98#89943C2211yescharacteristic, complemented
99#89939C2211yescharacteristic, complemented
100#89936C2211yescharacteristic, complemented
101#89936C2211yescharacteristic, complemented
102#89929C2211yescharacteristic
103#89929C2211yescharacteristic, complemented
104#89927C2211yescharacteristic, complemented
105#89926C2211yescharacteristic, complemented
106#89924C2211yescharacteristic, complemented
107#89924C2211yescharacteristic, complemented
108#89909C2211yescharacteristic, complemented
109#89906C2211yescharacteristic
110#89894C2211yescharacteristic, complemented
111#89888C2211yescharacteristic, complemented
112#89886C2211yescharacteristic
113#89873C2211yescharacteristic, complemented
114#89861C2211yescharacteristic, complemented
115#89851C2211yescharacteristic, complemented
116#89848C2211yescharacteristic, complemented
117#89843C2211yescharacteristic, complemented
118#89841C2211yescharacteristic, complemented
119#89836C2211yescharacteristic, complemented
120#89831C2211yescharacteristic, complemented
121#89827C2211yescharacteristic, complemented
122#89824C2211yescharacteristic, complemented
123#89820C2211yescharacteristic
124#89814C2211yescharacteristic
125#89814C2211yescharacteristic, complemented
126#89813C2211yescharacteristic
127#89813C2211yescharacteristic, complemented
128#89813C2211yescharacteristic, complemented
129#89811C2211yescharacteristic
130#89802C2211yescharacteristic, complemented
131C4×#1143C2211yescharacteristic, complemented
132#89790C2211yescharacteristic, complemented
133#89790C2211yescharacteristic, complemented
134C4×#1142C2211yescharacteristic, complemented
135C4×#1142C2211yescharacteristic, complemented
136C4×#1142C2211yescharacteristic, complemented
137#89786C2211yescharacteristic, complemented
138#89769C2211yescharacteristic, complemented
139#89661C2211yescharacteristic, complemented
140#89661C2211yescharacteristic, complemented
141#89659C2211yescharacteristic, complemented
142#89659C2211yescharacteristic, complemented
143#89653C2211yescharacteristic
144#89652C2211yescharacteristic
145#89650C2211yescharacteristic, complemented
146#89648C2211yescharacteristic, complemented
147#89636C2211yescharacteristic
148#89636C2211yescharacteristic
149#89633C2211yescharacteristic
150D7×#106C2211yescharacteristic
151#89628C2211yescharacteristic, complemented
152#89627C2211yescharacteristic, complemented
153#89625C2211yescharacteristic, complemented
154#89625C2211yescharacteristic, complemented
155#89585C2211yescharacteristic, complemented
156#89579C2211yescharacteristic
157#89574C2211yescharacteristic
158D7×#103C2211yescharacteristic
159#89569C2211yescharacteristic, complemented
160#89564C2211yescharacteristic, complemented
161#89562C2211yescharacteristic, complemented
162#89560C2211yescharacteristic, complemented
163#89550C2211yescharacteristic
164#89550C2211yescharacteristic
165#89550C2211yescharacteristic, complemented
166#89550C2211yescharacteristic, complemented
167#89550C2211yescharacteristic, complemented
168#89547C2211yescharacteristic
169#89544C2211yescharacteristic
170#89544C2211yescharacteristic
171#89543C2211yescharacteristic
172#89543C2211yescharacteristic
173#89542C2211yescharacteristic
174D7×#102C2211yescharacteristic
175#89540C2211yescharacteristic, complemented
176#89540C2211yescharacteristic, complemented
177#89537C2211yescharacteristic, complemented
178#89537C2211yescharacteristic, complemented
179#89536C2211yescharacteristic, complemented
180#89532C2211yescharacteristic, complemented
181#89530C2211yescharacteristic, complemented
182#89530C2211yescharacteristic, complemented
183#89530C2211yescharacteristic, complemented
184#89530C2211yescharacteristic, complemented
185#89530C2211yescharacteristic, complemented
186#89528C2211yescharacteristic, complemented
187#89488C2211yescharacteristic, complemented
188#89487C2211yescharacteristic, complemented
189#89482C2211yescharacteristic, complemented
190#89480C2211yescharacteristic
191#89480C2211yescharacteristic
192D7×#97C2211yescharacteristic, complemented
193D7×#97C2211yescharacteristic, complemented
194#89474C2211yescharacteristic, complemented
195C4×Dic28C2211yescharacteristic, complemented
196#89469C2211yescharacteristic, complemented
197C4×#1132C2211yescharacteristic, complemented
198#89461C2211yescharacteristic
199#89461C2211yescharacteristic
200C4×C8×D7C2211yescharacteristic, complemented
201C4×C8×D7C2211yescharacteristic, complemented
202#89453C2211yescharacteristic, complemented
203#60706—71nomaximal, Sylow
204C2×Q8×D7C2311yescharacteristic
205C2×#1159—21no—
206C2×#1159C2311yescharacteristic
207C2×#1159C2311yescharacteristic
208C2×D4×D7—21no—
209C2×D4×D7C2311yescharacteristic
210C2×#1157—21no—
211C22×C4×D7C2311yescharacteristic
212C2×C7×SD16C2311yescharacteristic
213C2×C7×SD16C2311yescharacteristic
214C2×C7×D8C2311yescharacteristic
215C2×C7×D8C2311yescharacteristic
216C2×C7×M16C2311yescharacteristic
217C22×C7×C8C2311yescharacteristic
218C7×C4⋊Q8C2311yescharacteristic
219C7×#127C2311yescharacteristic
220C7×#126—21no—
221C7×#125C2311yescharacteristic
222C7×#124—21no—
223C7×#124C2311yescharacteristic
224C7×#123—21no—
225C7×#123—21no—
226C7×#123—21no—
227C7×C22⋊Q8—21no—
228C7×C22⋊Q8C2311yescharacteristic
229C7×#121—21no—
230C7×#121—21no—
231C7×#121C2311yescharacteristic
232C7×#121C2311yescharacteristic
233C7×#121C2311yescharacteristic
234C4×C7×Q8C2311yescharacteristic
235C4×C7×D4C2311yescharacteristic
236C4×C7×D4C2311yescharacteristic
237C4×C7×D4C2311yescharacteristic
238C7×#117C2311yescharacteristic
239#6509—21no—
240#6509—21no—
241#6509C2311yescharacteristic
242Q8×Dic7—21no—
243Q8×Dic7C2311yescharacteristic
244#6507—21no—
245#6507C2311yescharacteristic
246C2×#1144C2311yescharacteristic
247C2×#1143C2311yescharacteristic
248#6503C2311yescharacteristic
249#6502—21no—
250#6502—21no—
251#6502—21no—
252#6502—21no—
253#6501—21no—
254#6501—21no—
255#6501C2311yescharacteristic
256#6501C2311yescharacteristic
257#6501C2311yescharacteristic
258#6500—21no—
259#6500—21no—
260#6500—21no—
261#6500—21no—
262#6499—21no—
263#6499—21no—
264#6499—21no—
265#6499C2311yescharacteristic
266#6499C2311yescharacteristic
267#6498—21no—
268#6498—21no—
269D4×Dic7—21no—
270D4×Dic7—21no—
271D4×Dic7—21no—
272D4×Dic7C2311yescharacteristic
273D4×Dic7C2311yescharacteristic
274D4×Dic7C2311yescharacteristic
275C2×#1142C2311yescharacteristic
276C2×#1142C2311yescharacteristic
277C2×#1142C2311yescharacteristic
278C2×#1142C2311yescharacteristic
279C2×#1142C2311yescharacteristic
280C2×#1141C2311yescharacteristic
281#6493C2311yescharacteristic
282C4×C22⋊D7—21no—
283C4×C22⋊D7—21no—
284C4×C22⋊D7—21no—
285C4×C22⋊D7—21no—
286C4×C22⋊D7—21no—
287C4×C22⋊D7—21no—
288C2×(C2×D7)⋊C4—21no—
289#6489—21no—
290#6489—21no—
291#6489C2311yescharacteristic
292#6487C2311yescharacteristic
293#6487C2311yescharacteristic
294#6487C2311yescharacteristic
295C2×Dic7⋊C4—21no—
296C2×Dic7⋊C4—21no—
297C2×#1136C2311yescharacteristic
298C22×C7⋊C8C2311yescharacteristic
299#6478—24no—
300D7×SD16—24no—
301#6475—24no—
302#6474—24no—
303D7×M16—24no—
304C2×Dic28C2311yescharacteristic
305C2×Dic28C2311yescharacteristic
306C2×#1132C2311yescharacteristic
307C2×#1132C2311yescharacteristic
308C2×#1131C2311yescharacteristic
309C2×#1131C2311yescharacteristic
310C2×C8×D7—24no—
311C2×C8×D7C2311yescharacteristic
312C2×C8×D7C2311yescharacteristic
313C2×C8×D7C2311yescharacteristic
314C2×C8×D7C2311yescharacteristic
315C2×C8×D7C2311yescharacteristic
316C2×C8×D7C2311yescharacteristic
317#6461—21no—
318#6461—21no—
319#6460—21no—
320#6460C2311yescharacteristic
321#6460C2311yescharacteristic
322#6460C2311yescharacteristic
323#6459—21no—
324#6459—21no—
325#6459—21no—
326#6459—21no—
327#6459—21no—
328#6458C2311yescharacteristic
329#6457—21no—
330#6456—21no—
331#6456C2311yescharacteristic
332#6455—21no—
333#6455—21no—
334#6455—21no—
335#6455D411yescharacteristic
336#6455D411yescharacteristic
337#6455C2311yescharacteristic
338#6455C2311yescharacteristic
339D7×C4⋊C4—21no—
340D7×C4⋊C4D411yescharacteristic
341D7×C4⋊C4D411yescharacteristic
342D7×C4⋊C4C2311yescharacteristic
343D7×C4⋊C4C2311yescharacteristic
344#6453—21no—
345#6453—21no—
346#6453C2311yescharacteristic
347#6453C2311yescharacteristic
348#6452—21no—
349#6452—21no—
350#6452—21no—
351#6452—21no—
352#6452—21no—
353#6452—21no—
354#6451—21no—
355#6451C2311yescharacteristic
356#6451C2311yescharacteristic
357#6450—21no—
358#6450C2311yescharacteristic
359#6450C2311yescharacteristic
360#6450C2311yescharacteristic
361#6449—21no—
362#6448—21no—
363#6448—21no—
364#6447—21no—
365#6447—21no—
366#6446—21no—
367#6446—21no—
368#6446—21no—
369#6446—21no—
370#6446—21no—
371#6446—21no—
372#6446—21no—
373#6446—21no—
374#6446—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—
384D7×C22⋊C4D411yescharacteristic
385D7×C22⋊C4D411yescharacteristic
386#6442—21no—
387#6442—21no—
388#6442—21no—
389#6442—21no—
390#6442—21no—
391#6442—21no—
392#6442—21no—
393#6442—21no—
394#6442—21no—
395#6441—21no—
396#6441—21no—
397#6441—21no—
398#6441—21no—
399#6441—21no—
400#6440—21no—
401#6440—21no—
402#6440—21no—
403#6440D411yescharacteristic
404#6440D411yescharacteristic
405#6438C2311yescharacteristic
406C4×D28C2311yescharacteristic
407#6435—21no—
408#6435—21no—
409#6435C2311yescharacteristic
410#6435C2311yescharacteristic
411C42×D7C2311yescharacteristic
412C42×D7C2311yescharacteristic
413#6433C2311yescharacteristic
414#6432C2311yescharacteristic
415#6432C2311yescharacteristic
416C4×Dic14—21no—
417C4×Dic14—21no—
418C4×Dic14C2311yescharacteristic
419C4×Dic14C2311yescharacteristic
420C4×Dic14C2311yescharacteristic
421C7×#107C2311yescharacteristic
422C7×#107C2311yescharacteristic
423C7×#106C2311yescharacteristic
424C7×#106C2311yescharacteristic
425C7×#103C2311yescharacteristic
426C7×#103C2311yescharacteristic
427C7×#102C2311yescharacteristic
428C7×#102C2311yescharacteristic
429C7×#102C2311yescharacteristic
430C7×#102C2311yescharacteristic
431C7×#102C2311yescharacteristic
432C7×#102C2311yescharacteristic
433C7×#97C2311yescharacteristic
434C7×#97C2311yescharacteristic
435C4×C7×C8C2311yescharacteristic
436C4×C7×C8C2311yescharacteristic
437#6409C2311yescharacteristic
438#6409C2311yescharacteristic
439#6406C2311yescharacteristic
440#6406C2311yescharacteristic
441#6406C2311yescharacteristic
442#6406C2311yescharacteristic
443#6406C2311yescharacteristic
444#6406C2311yescharacteristic
445#6395C2311yescharacteristic
446#6395C2311yescharacteristic
447#6392C2311yescharacteristic
448#6392C2311yescharacteristic
449#6391C2311yescharacteristic
450#6391C2311yescharacteristic
451#6390C2311yescharacteristic
452#6390C2311yescharacteristic
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#6384C2311yescharacteristic
470#6384C2311yescharacteristic
471#6383C2311yescharacteristic
472#6383C2311yescharacteristic
473#6382C2311yescharacteristic
474#6382C2311yescharacteristic
475#6382C2311yescharacteristic
476#6382C2311yescharacteristic
477#6382C2311yescharacteristic
478#6382C2311yescharacteristic
479#6381C2311yescharacteristic
480#6381C2311yescharacteristic
481#6377C2311yescharacteristic
482#6377C2311yescharacteristic
483C4×C7⋊C8C2311yescharacteristic
484C4×C7⋊C8C2311yescharacteristic
485#3495—71no—
486#3494—71no—
487#3181—71no—
488#3181—71no—
489#3180—71no—
490#3180—71no—
491#3179—71no—
492#3179D711yescharacteristic, complemented
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×D4—21no—
521C2×C7×D4—21no—
522C2×C7×D4—21no—
523C2×C7×D4—21no—
524C2×C7×D4—21no—
525C2×C7×D4C2411yescharacteristic
526C2×C7×D4C2411yescharacteristic
527C2×C7×D4C2411yescharacteristic
528C22×C4×C7—21no—
529C22×C4×C7—21no—
530C22×C4×C7—21no—
531C22×C4×C7C2411yescharacteristic
532C2×C22⋊D7—21no—
533C2×C22⋊D7—21no—
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—
541C22×Dic7—21no—
542C22×Dic7—21no—
543C22×Dic7—21no—
544C22×Dic7—21no—
545C22×Dic7—21no—
546C22×Dic7C2×D411yescharacteristic
547Q8×D7—22no—
548Q8×D7—22no—
549#1159—22no—
550#1159—22no—
551#1159—22no—
552#1159—22no—
553#1159—82no—
554D4×D7—22no—
555D4×D7—22no—
556D4×D7—82no—
557#1157—82no—
558C2×D28—21no—
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×D7C2×D411yescharacteristic
568C2×C4×D7C2×D411yescharacteristic
569C2×C4×D7C2×D411yescharacteristic
570C2×C4×D7C2×D411yescharacteristic
571C2×C4×D7C2×D411yescharacteristic
572C2×C4×D7C2×D411yescharacteristic
573C2×C4×D7C2411yescharacteristic
574C2×C4×D7C2411yescharacteristic
575C2×Dic14—21no—
576C2×Dic14—21no—
577C2×Dic14—21no—
578C2×Dic14—21no—
579C2×Dic14C2411yescharacteristic
580C2×Dic14C2411yescharacteristic
581C2×Dic14C2411yescharacteristic
582C7×SD16—22no—
583C7×SD16—22no—
584C7×D8—22no—
585C7×D8—22no—
586C7×M16—22no—
587C2×C7×C8—22no—
588C2×C7×C8C2411yescharacteristic
589C2×C7×C8C2411yescharacteristic
590C2×C7×C8C2411yescharacteristic
591C2×C7×C8C2411yescharacteristic
592C7×C4⋊C4—21no—
593C7×C4⋊C4—21no—
594C7×C4⋊C4—21no—
595C7×C4⋊C4—21no—
596C7×C4⋊C4—21no—
597C7×C4⋊C4C2×D411yescharacteristic
598C7×C4⋊C4C2×D411yescharacteristic
599C7×C4⋊C4C2411yescharacteristic
600C7×C4⋊C4C2411yescharacteristic
601C7×C4⋊C4C2411yescharacteristic
602C7×C4⋊C4C2411yescharacteristic
603C7×C22⋊C4—21no—
604C7×C22⋊C4—21no—
605C7×C22⋊C4—21no—
606C7×C22⋊C4—21no—
607C7×C22⋊C4—21no—
608C7×C22⋊C4—21no—
609C7×C22⋊C4—21no—
610C7×C22⋊C4—21no—
611C7×C22⋊C4—21no—
612C7×C22⋊C4C2×D411yescharacteristic
613C7×C22⋊C4C2×D411yescharacteristic
614C42×C7—21no—
615C42×C7C2411yescharacteristic
616C42×C7C2411yescharacteristic
617C22⋊Dic7—21no—
618C22⋊Dic7—21no—
619C22⋊Dic7—21no—
620C22⋊Dic7—21no—
621C22⋊Dic7—21no—
622C22⋊Dic7—21no—
623C22⋊Dic7—21no—
624C22⋊Dic7—21no—
625C22⋊Dic7—21no—
626C22⋊Dic7—21no—
627C22⋊Dic7—21no—
628C22⋊Dic7—21no—
629C22⋊Dic7—21no—
630C22⋊Dic7C2×D411yescharacteristic
631C22⋊Dic7C2×D411yescharacteristic
632#1144—22no—
633#1143—22no—
634#1142—22no—
635#1142—22no—
636#1142—22no—
637#1142—22no—
638#1142—22no—
639#1141—22no—
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
656C4⋊Dic7—21no—
657C4⋊Dic7—21no—
658C4⋊Dic7—21no—
659C4⋊Dic7—21no—
660C4⋊Dic7—21no—
661C4⋊Dic7—21no—
662C4⋊Dic7—21no—
663C4⋊Dic7—21no—
664C4⋊Dic7—21no—
665C4⋊Dic7C2×D411yescharacteristic
666C4⋊Dic7C2×D411yescharacteristic
667C4⋊Dic7C2411yescharacteristic
668C4⋊Dic7C2411yescharacteristic
669C4⋊Dic7C2411yescharacteristic
670C4⋊Dic7C2411yescharacteristic
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⋊C4—21no—
691Dic7⋊C4C2×D411yescharacteristic
692Dic7⋊C4C2×D411yescharacteristic
693Dic7⋊C4C2×D411yescharacteristic
694Dic7⋊C4C2×D411yescharacteristic
695C4×Dic7—21no—
696C4×Dic7—21no—
697C4×Dic7—21no—
698C4×Dic7—21no—
699C4×Dic7—21no—
700C4×Dic7—21no—
701C4×Dic7—21no—
702C4×Dic7—21no—
703C4×Dic7—21no—
704C4×Dic7C2×D411yescharacteristic
705C4×Dic7C2×D411yescharacteristic
706C4×Dic7C2×D411yescharacteristic
707C4×Dic7C2×D411yescharacteristic
708C4×Dic7C2411yescharacteristic
709C4×Dic7C2411yescharacteristic
710#1136—22no—
711C2×C7⋊C8—22no—
712C2×C7⋊C8C2411yescharacteristic
713C2×C7⋊C8C2411yescharacteristic
714C2×C7⋊C8C2411yescharacteristic
715C2×C7⋊C8C2411yescharacteristic
716Dic28—22no—
717Dic28—22no—
718#1132—22no—
719#1132—22no—
720#1131—22no—
721#1131#4114yescomplemented
722C8×D7—22no—
723C8×D7—22no—
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#542C2×D711yescharacteristic, complemented
756#541—71no—
757#541—71no—
758#540—71no—
759#540C2×D711yescharacteristic
760#536—71no—
761#535—71no—
762#533—71no—
763#533—71no—
764#532—71no—
765#532—71no—
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#501C2×D711yescharacteristic, complemented
783#499—71no—
784#499—71no—
785#498—71no—
786#498—71no—
787#497—71no—
788#497—71no—
789#496—71no—
790#496C2×D711yescharacteristic, complemented
791#495—71no—
792#495—71no—
793#492—71no—
794#492—71no—
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#488C2×D711yescharacteristic, complemented
807#487—71no—
808#487—71no—
809#486—71no—
810#486C2×D711yescharacteristic, complemented
811#470—71no—
812#470—71no—
813#469—71no—
814#469C2×D711yescharacteristic
815#468—71no—
816#468—71no—
817#468—71no—
818#468C2×D711yescharacteristic, complemented
819#467—71no—
820#467—71no—
821#467—71no—
822#467—71no—
823#466—71no—
824#466—71no—
825#466—71no—
826#466C2×D711yescharacteristic, complemented
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#465—71no—
842#465C2×D711yescharacteristic
843#442—71no—
844#442—71no—
845#442—71no—
846#442C2×D711yescharacteristic, complemented
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#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×SD16C2×D711yescharacteristic, complemented
873C4×D8—71no—
874C4×D8C2×D711yescharacteristic, complemented
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#405C2×D711yescharacteristic, complemented
895C2×#97—71no—
896C2×#97—71no—
897C2×C4×C8—71no—
898C2×C4×C8—71no—
899C23×C7—21no—
900C23×C7—21no—
901C23×C7—21no—
902C23×C7C22×D411yescharacteristic
903C22×D7—22no—
904C22×D7—22no—
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—81no—
915C7×D4—21no—
916C7×D4—21no—
917C7×D4—21no—
918C7×D4—21no—
919C7×D4—21no—
920C7×D4—21no—
921C7×D4—81no—
922C7×D4—81no—
923C7×D4—81no—
924C7×D4—81no—
925C7×D4—81no—
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—21no—
933C2×C4×C7—81no—
934C2×C4×C7—81no—
935C2×C4×C7—81no—
936C2×C4×C7C22×D411yescharacteristic
937C2×C4×C7C22×D411yescharacteristic
938C2×C4×C7C22×D411yescharacteristic
939C2×C4×C7C22×D411yescharacteristic
940C2×C4×C7C22×D411yescharacteristic
941C2×C4×C7C2511yescharacteristic
942C22⋊D7—42no—
943C22⋊D7—42no—
944C22⋊D7—42no—
945C22⋊D7—42no—
946C22⋊D7—42no—
947C22⋊D7—42no—
948C22⋊D7—81no—
949C22⋊D7—81no—
950C22⋊D7—81no—
951C2×Dic7—22no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—21no—
955C2×Dic7—21no—
956C2×Dic7—21no—
957C2×Dic7—21no—
958C2×Dic7—21no—
959C2×Dic7—42no—
960C2×Dic7—42no—
961C2×Dic7—81no—
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—42no—
973C4×D7—22no—
974C4×D7—22no—
975C4×D7—22no—
976C4×D7—21no—
977C4×D7—21no—
978C4×D7—22no—
979C4×D7—41no—
980C4×D7—41no—
981C4×D7—42no—
982C4×D7—81no—
983C4×D7—81no—
984C4×D7—81no—
985C4×D7—81no—
986C4×D7C2×#4112yes—
987C4×D7C2×#4112yes—
988Dic14—21no—
989Dic14—21no—
990Dic14—21no—
991Dic14—21no—
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×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—71no—
1027C2×SD16—71no—
1028C2×SD16—144no—
1029C2×SD16C22×D711yescharacteristic
1030C2×SD16C22×D711yescharacteristic
1031C2×D8—71no—
1032C2×D8C22×D711yescharacteristic
1033C2×D8C22×D711yescharacteristic
1034C2×M16—71no—
1035C2×M16—71no—
1036C2×M16—71no—
1037C2×M16—144no—
1038C2×M16C22×D711yescharacteristic
1039C22×C8—71no—
1040C22×C8—71no—
1041C22×C8—71no—
1042C22×C8—71no—
1043C22×C8—71no—
1044C22×C8—71no—
1045C22×C8—71no—
1046C22×C8—144no—
1047C22×C8C22×D711yescharacteristic
1048C4⋊Q8—71no—
1049C4⋊Q8—71no—
1050C4⋊Q8—71no—
1051C4⋊Q8—71no—
1052C4⋊Q8—71no—
1053C4⋊Q8—141no—
1054C4⋊Q8—141no—
1055C4⋊Q8C22×D711yescharacteristic
1056#127—71no—
1057#127C22×D711yescharacteristic
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—71no—
1071#125—71no—
1072#125—71no—
1073#125—141no—
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—21no—
1083#124—71no—
1084#124—71no—
1085#124—71no—
1086#124—141no—
1087#124—141no—
1088#124—141no—
1089#124—141no—
1090#124—141no—
1091#124C22×D711yescharacteristic
1092#123—21no—
1093#123—21no—
1094#123—21no—
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—71no—
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⋊Q8—141no—
1129C22⋊Q8C22×D711yescharacteristic
1130#121—21no—
1131#121—21no—
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#121C22×D711yescharacteristic
1146#121C22×D711yescharacteristic
1147#121C22×D711yescharacteristic
1148#120—141no—
1149#120—141no—
1150#120—141no—
1151#120—141no—
1152C4×Q8—71no—
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×Q8—141no—
1163C4×Q8C22×D711yescharacteristic
1164C4×D4—71no—
1165C4×D4—71no—
1166C4×D4—71no—
1167C4×D4—71no—
1168C4×D4—71no—
1169C4×D4—141no—
1170C4×D4—141no—
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×D4C22×D711yescharacteristic
1186C4×D4C22×D711yescharacteristic
1187C4×D4C22×D711yescharacteristic
1188#117—71no—
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—141no—
1198#117—141no—
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#117C22×D711yescharacteristic
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×C42—71no—
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#103—71no—
1250#103—71no—
1251#103—71no—
1252#103—71no—
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#102C22×D711yescharacteristic
1266#102C22×D711yescharacteristic
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#97C22×D711yescharacteristic
1278#97C22×D711yescharacteristic
1279C4×C8—71no—
1280C4×C8—71no—
1281C4×C8—71no—
1282C4×C8—71no—
1283C4×C8—71no—
1284C4×C8—71no—
1285C4×C8C22×D711yescharacteristic
1286C4×C8C22×D711yescharacteristic
1287C22×C7—21no—
1288C22×C7—21no—
1289C22×C7—21no—
1290C22×C7—41no—
1291C22×C7—41no—
1292C22×C7—41no—
1293C22×C7—41no—
1294C22×C7—41no—
1295C22×C7—41no—
1296C22×C7—41no—
1297C22×C7—41no—
1298C22×C7—41no—
1299C22×C7C23×D411yescharacteristic
1300C2×D7—21no—
1301C2×D7—21no—
1302C2×D7—21no—
1303C2×D7—21no—
1304C2×D7—44no—
1305C2×D7—41no—
1306C2×D7—41no—
1307C2×D7—41no—
1308C2×D7—162no—
1309C2×D7#53212yes—
1310C2×D7#57712yes—
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×C7C22×#4111yescharacteristic
1322C4×C7C22×#4111yescharacteristic
1323Dic7—21no—
1324Dic7—21no—
1325Dic7—21no—
1326Dic7—21no—
1327Dic7—21no—
1328Dic7—41no—
1329Dic7—41no—
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—71no—
1347C2×Q8—71no—
1348C2×Q8—141no—
1349C2×Q8—141no—
1350C2×Q8—141no—
1351C2×Q8—142no—
1352C2×Q8—142no—
1353C2×Q8—141no—
1354C2×Q8C23×D711yescharacteristic
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—71no—
1361C2×D4—141no—
1362C2×D4—142no—
1363C2×D4—142no—
1364C2×D4—141no—
1365C2×D4—141no—
1366C2×D4—141no—
1367C2×D4—141no—
1368C2×D4—141no—
1369C2×D4—141no—
1370C2×D4—141no—
1371C2×D4—141no—
1372C2×D4—141no—
1373C2×D4—562no—
1374C2×D4C23×D711yescharacteristic
1375C2×D4C23×D711yescharacteristic
1376C2×D4C23×D711yescharacteristic
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—71no—
1381C22×C4—71no—
1382C22×C4—71no—
1383C22×C4—71no—
1384C22×C4—71no—
1385C22×C4—71no—
1386C22×C4—71no—
1387C22×C4—71no—
1388C22×C4—71no—
1389C22×C4—142no—
1390C22×C4—142no—
1391C22×C4—141no—
1392C22×C4—141no—
1393C22×C4—141no—
1394C22×C4—141no—
1395C22×C4—141no—
1396C22×C4—141no—
1397C22×C4—141no—
1398C22×C4—141no—
1399C22×C4—141no—
1400C22×C4—141no—
1401C22×C4C23×D711yescharacteristic
1402Q16—142no—
1403Q16—142no—
1404Q16—142no—
1405SD16—22no—
1406SD16—22no—
1407SD16—142no—
1408SD16—142no—
1409SD16—142no—
1410SD16—142no—
1411SD16—142no—
1412SD16—142no—
1413SD16—142no—
1414SD16—142no—
1415D8—22no—
1416D8—22no—
1417D8—142no—
1418M16—22no—
1419M16—74no—
1420M16—142no—
1421M16—142no—
1422C2×C8—22no—
1423C2×C8—71no—
1424C2×C8—71no—
1425C2×C8—74no—
1426C2×C8—71no—
1427C2×C8—71no—
1428C2×C8—142no—
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—71no—
1444C4⋊C4—71no—
1445C4⋊C4—71no—
1446C4⋊C4—71no—
1447C4⋊C4—71no—
1448C4⋊C4—71no—
1449C4⋊C4—71no—
1450C4⋊C4—71no—
1451C4⋊C4—71no—
1452C4⋊C4—71no—
1453C4⋊C4—141no—
1454C4⋊C4—141no—
1455C4⋊C4—141no—
1456C4⋊C4—141no—
1457C4⋊C4—141no—
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⋊C4D4×D711yescharacteristic
1483C4⋊C4D4×D711yescharacteristic
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—21no—
1496C22⋊C4—21no—
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⋊C4D4×D711yescharacteristic
1529C22⋊C4D4×D711yescharacteristic
1530C42—21no—
1531C42—71no—
1532C42—71no—
1533C42—71no—
1534C42—71no—
1535C42—71no—
1536C42—71no—
1537C42—141no—
1538C42—141no—
1539C42—141no—
1540C42—141no—
1541C42—141no—
1542C42—141no—
1543C42—141no—
1544C42—141no—
1545C42—141no—
1546C42C23×D711yescharacteristic
1547C42C23×D711yescharacteristic
1548C2×C7—41no—
1549C2×C7—81no—
1550C2×C7—81no—
1551C2×C7—81no—
1552C2×C7C2×#53211yescharacteristic
1553C2×C7C2×#57711yescharacteristic
1554C2×C7#358411yescharacteristic
1555D7—22no—
1556D7—22no—
1557D7—81no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—71no—
1562C23—71no—
1563C23—142no—
1564C23—142no—
1565C23—141no—
1566C23—281no—
1567C23—282no—
1568C23—561no—
1569C23—561no—
1570C23C2×D4×D711yescharacteristic
1571Q8—21no—
1572Q8—21no—
1573Q8—81no—
1574Q8—141no—
1575Q8—141no—
1576Q8—141no—
1577Q8—141no—
1578Q8—141no—
1579Q8—141no—
1580Q8—282no—
1581Q8—561no—
1582Q8—561no—
1583Q8—561no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
1595D4—141no—
1596D4—141no—
1597D4—282no—
1598D4—282no—
1599D4—282no—
1600D4—282no—
1601D4—282no—
1602D4—282no—
1603D4—282no—
1604D4—561no—
1605D4—561no—
1606D4—561no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—71no—
1615C2×C4—72no—
1616C2×C4—72no—
1617C2×C4—71no—
1618C2×C4—71no—
1619C2×C4—71no—
1620C2×C4—71no—
1621C2×C4—71no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—142no—
1626C2×C4—142no—
1627C2×C4—142no—
1628C2×C4—142no—
1629C2×C4—142no—
1630C2×C4—141no—
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—281no—
1640C2×C4—281no—
1641C2×C4—282no—
1642C2×C4—282no—
1643C2×C4—282no—
1644C2×C4—561no—
1645C2×C4—561no—
1646C2×C4—561no—
1647C2×C4—561no—
1648C2×C4—561no—
1649C2×C4—561no—
1650C2×C4—561no—
1651C2×C4C2×D4×D711yescharacteristic
1652C2×C4C2×D4×D711yescharacteristic
1653C2×C4C2×D4×D711yescharacteristic
1654C2×C4C2×D4×D711yescharacteristic
1655C2×C4C2×D4×D711yescharacteristic
1656C2×C4C24×D711yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—72no—
1660C8—72no—
1661C8—141no—
1662C8—141no—
1663C8D7×#4112yes—
1664C8D7×#4112yes—
1665C7#6070611yescharacteristic, complemented, Sylow
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—72no—
1679C22—72no—
1680C22—141no—
1681C22—141no—
1682C22—141no—
1683C22—141no—
1684C22—284no—
1685C22—281no—
1686C22—281no—
1687C22—281no—
1688C22—1122no—
1689C22C22×D4×D711yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—72no—
1701C4—141no—
1702C4—141no—
1703C4—141no—
1704C4—141no—
1705C4—141no—
1706C4—281no—
1707C4—281no—
1708C4—281no—
1709C4—281no—
1710C4—281no—
1711C4—281no—
1712C4—281no—
1713C4C2×D7×#4111yescharacteristic
1714C4C2×D7×#4111yescharacteristic
1715C2—41no—
1716C2—81no—
1717C2—81no—
1718C2—81no—
1719C2—142no—
1720C2—142no—
1721C2—561no—
1722C2D7×#53211yescharacteristic
1723C2#1174427111yescharacteristic
1724C2D7×#57711yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3179C2
socleC22×C7C23×D4
hypercenter#3179D7
hypocenterC7#60706
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #11743619C2semidirect
2. #11743553C2semidirect
3. C7×#3179C2semidirect
4. #11740901C2semidirect
5. #11740876C2semidirect
6. #11739419C2semidirect
7. #11739408C2semidirect
8. #11739292C2semidirect
9. #11739283C2semidirect
10. #11739084C2semidirect
11. #11739073C2semidirect
12. #11739008C2semidirect
13. #11739001C2semidirect
14. #11738309C2semidirect
15. #11738294C2semidirect
16. #11738251C2semidirect
17. #11738231C2semidirect
18. #11738159C2semidirect
19. #11738145C2semidirect
20. D7×#465C2semidirect
21. #11738081C2semidirect
22. #11737321C2semidirect
23. #11737313C2semidirect
24. #11737236C2semidirect
25. #11737222C2semidirect
26. #11737107C2semidirect
27. #11737093C2semidirect
28. #11737032C2semidirect
29. #11737028C2semidirect
30. #11736015C2semidirect
31. D7×#405C2semidirect
32. C7×#542C22semidirect
41. #90419C22semidirect
48. #90371C22semidirect
61. #90316C22semidirect
70. #90294C22semidirect
72. #90269C22semidirect
75. #90248C22semidirect
82. #90209C22semidirect
83. C7×#501C22semidirect
84. C7×#496C22semidirect
85. C7×#488C22semidirect
86. C7×#486C22semidirect
88. C7×#468C22semidirect
89. C7×#466C22semidirect
91. C7×#442C22semidirect
92. C7×#440C22semidirect
93. C4×C7×SD16C22semidirect
94. C4×C7×D8C22semidirect
95. C7×#405C22semidirect
96. #89947C22semidirect
98. #89943C22semidirect
99. #89939C22semidirect
100. #89936C22semidirect
101. #89936C22semidirect
103. #89929C22semidirect
104. #89927C22semidirect
105. #89926C22semidirect
106. #89924C22semidirect
107. #89924C22semidirect
108. #89909C22semidirect
110. #89894C22semidirect
111. #89888C22semidirect
113. #89873C22semidirect
114. #89861C22semidirect
115. #89851C22semidirect
116. #89848C22semidirect
117. #89843C22semidirect
118. #89841C22semidirect
119. #89836C22semidirect
120. #89831C22semidirect
121. #89827C22semidirect
122. #89824C22semidirect
125. #89814C22semidirect
127. #89813C22semidirect
128. #89813C22semidirect
130. #89802C22semidirect
131. C4×#1143C22semidirect
132. #89790C22semidirect
133. #89790C22semidirect
134. C4×#1142C22semidirect
135. C4×#1142C22semidirect
136. C4×#1142C22semidirect
137. #89786C22semidirect
138. #89769C22semidirect
139. #89661C22semidirect
140. #89661C22semidirect
141. #89659C22semidirect
142. #89659C22semidirect
145. #89650C22semidirect
146. #89648C22semidirect
151. #89628C22semidirect
152. #89627C22semidirect
153. #89625C22semidirect
154. #89625C22semidirect
155. #89585C22semidirect
159. #89569C22semidirect
160. #89564C22semidirect
161. #89562C22semidirect
162. #89560C22semidirect
165. #89550C22semidirect
166. #89550C22semidirect
167. #89550C22semidirect
175. #89540C22semidirect
176. #89540C22semidirect
177. #89537C22semidirect
178. #89537C22semidirect
179. #89536C22semidirect
180. #89532C22semidirect
181. #89530C22semidirect
182. #89530C22semidirect
183. #89530C22semidirect
184. #89530C22semidirect
185. #89530C22semidirect
186. #89528C22semidirect
187. #89488C22semidirect
188. #89487C22semidirect
189. #89482C22semidirect
192. D7×#97C22semidirect
193. D7×#97C22semidirect
194. #89474C22semidirect
195. C4×Dic28C22semidirect
196. #89469C22semidirect
197. C4×#1132C22semidirect
200. C4×C8×D7C22semidirect
201. C4×C8×D7C22semidirect
202. #89453C22semidirect
492. #3179D7semidirect
721. #1131#41semidirect
727. C8×D7#41semidirect
755. #542C2×D7semidirect
782. #501C2×D7semidirect
790. #496C2×D7semidirect
806. #488C2×D7semidirect
810. #486C2×D7semidirect
818. #468C2×D7semidirect
826. #466C2×D7semidirect
846. #442C2×D7semidirect
858. #440C2×D7semidirect
872. C4×SD16C2×D7semidirect
874. C4×D8C2×D7semidirect
894. #405C2×D7semidirect
1665. C7#60706semidirect

Maximal subgroups

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

subgroupindex
#117436192
#117435532
C7×#31792
#117409012
#117408762
#117394192
#117394082
#117392922
#117392832
#117390842
#117390732
#117390082
#117390012
#117383092
#117382942
#117382512
#117382312
#117381592
#117381452
D7×#4652
#117380812
#117373212
#117373132
#117372362
#117372222
#117371072
#117370932
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