Finite Group Databasebeta

← #14223985

Subgroups — #14223985

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#11743308C211yesmaximal, characteristic, complemented
2#11743225C211yesmaximal, characteristic, complemented
3C7×#3180C211yesmaximal, characteristic, complemented
4#11740735C211yesmaximal, characteristic, complemented
5#11740579C211yesmaximal, characteristic, complemented
6#11739419C211yesmaximal, characteristic, complemented
7#11739405C211yesmaximal, characteristic, complemented
8#11739292C211yesmaximal, characteristic, complemented
9#11739282C211yesmaximal, characteristic, complemented
10#11739159C211yesmaximal, characteristic, complemented
11#11739150C211yesmaximal, characteristic, complemented
12#11739126C211yesmaximal, characteristic, complemented
13#11739111C211yesmaximal, characteristic, complemented
14#11738160C211yesmaximal, characteristic, complemented
15#11738159C211yesmaximal, characteristic, complemented
16#11738146C211yesmaximal, characteristic, complemented
17#11738141C211yesmaximal, characteristic, complemented
18#11738103C211yesmaximal, characteristic, complemented
19D7×#465C211yesmaximal, characteristic, complemented
20#11738084C211yesmaximal, characteristic, complemented
21#11738077C211yesmaximal, characteristic, complemented
22#11737313C211yesmaximal, characteristic, complemented
23#11737311C211yesmaximal, characteristic, complemented
24#11737306C211yesmaximal, characteristic, complemented
25#11737304C211yesmaximal, characteristic, complemented
26#11737222C211yesmaximal, characteristic, complemented
27#11737221C211yesmaximal, characteristic, complemented
28#11737214C211yesmaximal, characteristic, complemented
29#11737212C211yesmaximal, characteristic, complemented
30#11735949C211yesmaximal, characteristic, complemented
31C2×#89480C211yesmaximal, characteristic, complemented
32C7×#532C2211yescharacteristic
33C7×#529C2211yescharacteristic, complemented
34#90520—21no—
35#90515—21no—
36C2×#6478C2211yescharacteristic
37C2×D7×SD16C2211yescharacteristic
38C2×#6475C2211yescharacteristic
39C2×#6474C2211yescharacteristic
40C22×#1131C2211yescharacteristic
41C22×C8×D7C2211yescharacteristic
42#90424C2211yescharacteristic
43#90420C2211yescharacteristic
44#90410C2211yescharacteristic
45#90406C2211yescharacteristic
46#90399—21no—
47#90393—21no—
48#90388C2211yescharacteristic, complemented
49#90380C2211yescharacteristic
50#90373C2211yescharacteristic, complemented
51#90370—21no—
52#90366C2211yescharacteristic
53#90361—21no—
54#90349—21no—
55#90341—21no—
56D7×C22⋊Q8C2211yescharacteristic
57#90313C2211yescharacteristic, complemented
58#90301—21no—
59#90297C2211yescharacteristic
60#90297C2211yescharacteristic
61D7×#121C2211yescharacteristic
62#90292—21no—
63#90291C2211yescharacteristic
64#90291C2211yescharacteristic, complemented
65#90287C2211yescharacteristic
66#90274C2211yescharacteristic, complemented
67#90263C2211yescharacteristic
68#90253C2211yescharacteristic
69#90252C2211yescharacteristic
70#90252C2211yescharacteristic, complemented
71#90247—21no—
72#90247—21no—
73#90237C2211yescharacteristic
74#90237C2211yescharacteristic
75#90236C2211yescharacteristic
76#90231—21no—
77#90230—21no—
78#90222—21no—
79#90220—21no—
80#90170C2211yescharacteristic
81C2×#6435C2211yescharacteristic
82#90161C2211yescharacteristic, complemented
83C7×#501C2211yescharacteristic, complemented
84C7×#496C2211yescharacteristic, complemented
85C7×#490C2211yescharacteristic, complemented
86C7×#489C2211yescharacteristic, complemented
87C7×#466C2211yescharacteristic
88C7×#466C2211yescharacteristic, complemented
89C7×#465C2211yescharacteristic
90C7×#465C2211yescharacteristic, complemented
91C7×#442C2211yescharacteristic, complemented
92C7×#442C2211yescharacteristic, complemented
93C7×#440C2211yescharacteristic, complemented
94C7×#440C2211yescharacteristic, complemented
95C2×C7×#97C2211yescharacteristic, complemented
96#89947C2211yescharacteristic, complemented
97#89946C2211yescharacteristic, complemented
98#89943C2211yescharacteristic
99#89939C2211yescharacteristic, complemented
100#89936C2211yescharacteristic, complemented
101SD16×Dic7C2211yescharacteristic, complemented
102#89931C2211yescharacteristic
103#89929C2211yescharacteristic, complemented
104#89927C2211yescharacteristic, complemented
105#89926C2211yescharacteristic, complemented
106#89924C2211yescharacteristic, complemented
107D8×Dic7C2211yescharacteristic, complemented
108#89888C2211yescharacteristic, complemented
109#89888C2211yescharacteristic, complemented
110#89886C2211yescharacteristic
111#89886C2211yescharacteristic
112C2×#6389C2211yescharacteristic, complemented
113C2×C8×Dic7C2211yescharacteristic, complemented
114#89865C2211yescharacteristic, complemented
115#89851C2211yescharacteristic, complemented
116#89848C2211yescharacteristic, complemented
117#89842C2211yescharacteristic, complemented
118#89840C2211yescharacteristic, complemented
119#89836C2211yescharacteristic, complemented
120#89831C2211yescharacteristic, complemented
121#89828C2211yescharacteristic, complemented
122#89823C2211yescharacteristic, complemented
123#89820C2211yescharacteristic
124#89813C2211yescharacteristic
125#89813C2211yescharacteristic
126#89813C2211yescharacteristic, complemented
127#89813C2211yescharacteristic, complemented
128#89813C2211yescharacteristic, complemented
129#89810C2211yescharacteristic
130C4×#1144C2211yescharacteristic, complemented
131C4×#1143C2211yescharacteristic, complemented
132C4×#1142C2211yescharacteristic, complemented
133C4×#1142C2211yescharacteristic, complemented
134C4×#1142C2211yescharacteristic, complemented
135C4×#1142C2211yescharacteristic, complemented
136C4×#1142C2211yescharacteristic, complemented
137C4×#1141C2211yescharacteristic, complemented
138C2×C4×C7⋊C8C2211yescharacteristic, complemented
139#89661C2211yescharacteristic, complemented
140#89659C2211yescharacteristic, complemented
141#89658C2211yescharacteristic
142#89653C2211yescharacteristic
143#89652C2211yescharacteristic
144#89650C2211yescharacteristic, complemented
145#89648C2211yescharacteristic, complemented
146#89645C2211yescharacteristic, complemented
147#89640C2211yescharacteristic, complemented
148#89636C2211yescharacteristic
149#89633C2211yescharacteristic
150D7×#106C2211yescharacteristic
151#89628C2211yescharacteristic, complemented
152#89627C2211yescharacteristic, complemented
153#89625C2211yescharacteristic, complemented
154#89624C2211yescharacteristic, complemented
155#89588C2211yescharacteristic, complemented
156#89579C2211yescharacteristic
157#89574C2211yescharacteristic
158D7×#103C2211yescharacteristic
159#89569C2211yescharacteristic, complemented
160#89564C2211yescharacteristic, complemented
161#89561C2211yescharacteristic, complemented
162#89560C2211yescharacteristic, complemented
163#89557C2211yescharacteristic, complemented
164#89554C2211yescharacteristic
165#89552C2211yescharacteristic
166#89552C2211yescharacteristic, complemented
167#89550C2211yescharacteristic
168#89550C2211yescharacteristic, complemented
169#89550C2211yescharacteristic, complemented
170#89544C2211yescharacteristic
171#89544C2211yescharacteristic
172#89543C2211yescharacteristic
173#89543C2211yescharacteristic
174#89542C2211yescharacteristic
175D7×#102C2211yescharacteristic
176#89540C2211yescharacteristic, complemented
177#89540C2211yescharacteristic, complemented
178#89537C2211yescharacteristic, complemented
179#89537C2211yescharacteristic, complemented
180#89536C2211yescharacteristic, complemented
181#89532C2211yescharacteristic, complemented
182#89530C2211yescharacteristic, complemented
183#89530C2211yescharacteristic, complemented
184#89530C2211yescharacteristic, complemented
185#89529C2211yescharacteristic, complemented
186#89529C2211yescharacteristic, complemented
187#89488C2211yescharacteristic, complemented
188#89488C2211yescharacteristic, complemented
189#89487C2211yescharacteristic, complemented
190#89486C2211yescharacteristic, complemented
191#89482C2211yescharacteristic, complemented
192#89482C2211yescharacteristic, complemented
193#89480C2211yescharacteristic
194#89480C2211yescharacteristic
195#89480C2211yescharacteristic
196#89480C2211yescharacteristic
197#89480C2211yescharacteristic, complemented
198#89480C2211yescharacteristic, complemented
199#89480C2211yescharacteristic, complemented
200#89480C2211yescharacteristic, complemented
201#89475C2211yescharacteristic, complemented
202#89474C2211yescharacteristic, complemented
203#60706—71nomaximal, Sylow
204C2×C7×#41—21no—
205C2×Q8×D7C2311yescharacteristic
206C2×#1159—21no—
207C2×#1159C2311yescharacteristic
208C2×#1159C2311yescharacteristic
209C2×D4×D7—21no—
210C2×D4×D7C2311yescharacteristic
211C22×C4×D7C2311yescharacteristic
212C2×C7×SD16C2311yescharacteristic
213C2×C7×SD16C2311yescharacteristic
214C2×C7×D8C2311yescharacteristic
215C2×C7×D8C2311yescharacteristic
216C22×C7×C8C2311yescharacteristic
217C22×C7×C8C2311yescharacteristic
218C7×C4⋊Q8C2311yescharacteristic
219C7×#127C2311yescharacteristic
220C7×#126—21no—
221C7×#125C2311yescharacteristic
222C7×#124—21no—
223C7×#124C2311yescharacteristic
224C7×#123—21no—
225C7×C22⋊Q8C2311yescharacteristic
226C7×#121—21no—
227C7×#121C2311yescharacteristic
228C7×#121C2311yescharacteristic
229C7×#121C2311yescharacteristic
230C4×C7×Q8C2311yescharacteristic
231C4×C7×D4—21no—
232C4×C7×D4—21no—
233C4×C7×D4C2311yescharacteristic
234C4×C7×D4C2311yescharacteristic
235C4×C7×D4C2311yescharacteristic
236C7×#117—21no—
237C2×C42×C7C2311yescharacteristic
238#6510—21no—
239#6509—21no—
240#6509—21no—
241#6509C2311yescharacteristic
242Q8×Dic7C2311yescharacteristic
243#6507—21no—
244#6507C2311yescharacteristic
245C2×#1144C2311yescharacteristic
246C2×#1143C2311yescharacteristic
247#6503C2311yescharacteristic
248#6502—21no—
249#6502—21no—
250#6502—21no—
251#6502—21no—
252#6502—21no—
253#6502—21no—
254#6501C2311yescharacteristic
255#6501C2311yescharacteristic
256#6501C2311yescharacteristic
257#6500—21no—
258#6500—21no—
259#6500—21no—
260#6500—21no—
261#6499C2311yescharacteristic
262#6499C2311yescharacteristic
263#6498—21no—
264#6498—21no—
265#6498—21no—
266#6498—21no—
267D4×Dic7—21no—
268D4×Dic7—21no—
269D4×Dic7—21no—
270D4×Dic7—21no—
271D4×Dic7C2311yescharacteristic
272D4×Dic7C2311yescharacteristic
273D4×Dic7C2311yescharacteristic
274C2×#1142C2311yescharacteristic
275C2×#1142C2311yescharacteristic
276C2×#1142C2311yescharacteristic
277C2×#1142C2311yescharacteristic
278C2×#1142C2311yescharacteristic
279C2×#1141C2311yescharacteristic
280#6493—21no—
281#6493C2311yescharacteristic
282#6492—21no—
283#6492—21no—
284#6492—21no—
285#6492—21no—
286C4×C22⋊D7—21no—
287C4×C22⋊D7—21no—
288C4×C22⋊D7—21no—
289C4×C22⋊D7—21no—
290C2×(C2×D7)⋊C4—21no—
291C2×(C2×D7)⋊C4D411yescharacteristic
292C2×(C2×D7)⋊C4D411yescharacteristic
293#6489—21no—
294#6487—21no—
295#6487—21no—
296#6487—21no—
297#6487C2311yescharacteristic
298#6487C2311yescharacteristic
299#6487C2311yescharacteristic
300C2×Dic7⋊C4—21no—
301C2×Dic7⋊C4—21no—
302C2×Dic7⋊C4D411yescharacteristic
303C2×Dic7⋊C4D411yescharacteristic
304C2×C4×Dic7C2311yescharacteristic
305C22×C7⋊C8C2311yescharacteristic
306C22×C7⋊C8C2311yescharacteristic
307#6478—24no—
308D7×SD16—24no—
309#6475—24no—
310#6474—24no—
311C2×Dic28C2311yescharacteristic
312C2×Dic28C2311yescharacteristic
313C2×#1132C2311yescharacteristic
314C2×#1132C2311yescharacteristic
315C2×#1131—24no—
316C2×#1131C2311yescharacteristic
317C2×#1131C2311yescharacteristic
318C2×#1131C2311yescharacteristic
319C2×#1131C2311yescharacteristic
320C2×C8×D7—24no—
321C2×C8×D7C2311yescharacteristic
322C2×C8×D7C2311yescharacteristic
323C2×C8×D7C2311yescharacteristic
324C2×C8×D7C2311yescharacteristic
325#6461—21no—
326#6461—21no—
327#6461—21no—
328#6461—21no—
329#6460—21no—
330#6460C2311yescharacteristic
331#6460C2311yescharacteristic
332#6460C2311yescharacteristic
333#6459—21no—
334#6459—21no—
335#6459—21no—
336#6458C2311yescharacteristic
337#6457—21no—
338#6456C2311yescharacteristic
339#6455—21no—
340#6455C2311yescharacteristic
341#6455C2311yescharacteristic
342D7×C4⋊C4—21no—
343D7×C4⋊C4C2311yescharacteristic
344D7×C4⋊C4C2311yescharacteristic
345#6453—21no—
346#6453—21no—
347#6453C2311yescharacteristic
348#6453C2311yescharacteristic
349#6452—21no—
350#6452—21no—
351#6452—21no—
352#6452—21no—
353#6451—21no—
354#6451C2311yescharacteristic
355#6451C2311yescharacteristic
356#6450—21no—
357#6450—21no—
358#6450C2311yescharacteristic
359#6450C2311yescharacteristic
360#6450C2311yescharacteristic
361#6449—21no—
362#6448—21no—
363#6448—21no—
364#6448—21no—
365#6448—21no—
366#6447—21no—
367#6447—21no—
368#6446—21no—
369#6446—21no—
370#6446—21no—
371#6446—21no—
372#6446—21no—
373(C22⋊D7)⋊C4—21no—
374(C22⋊D7)⋊C4—21no—
375(C22⋊D7)⋊C4—21no—
376(C22⋊D7)⋊C4—21no—
377(C22⋊D7)⋊C4—21no—
378(C22⋊D7)⋊C4—21no—
379D7×C22⋊C4—21no—
380D7×C22⋊C4—21no—
381D7×C22⋊C4—21no—
382#6442—21no—
383#6442—21no—
384#6442—21no—
385#6442—21no—
386#6442—21no—
387#6441—21no—
388#6441—21no—
389#6441—21no—
390#6441—21no—
391#6441—21no—
392#6440—21no—
393#6440—21no—
394#6440—21no—
395#6440—21no—
396#6440—21no—
397#6439—21no—
398#6439—21no—
399#6438C2311yescharacteristic
400C4×D28C2311yescharacteristic
401#6435—21no—
402#6435—21no—
403#6435D411yescharacteristic
404#6435D411yescharacteristic
405#6435D411yescharacteristic
406#6435D411yescharacteristic
407#6435C2311yescharacteristic
408#6435C2311yescharacteristic
409#6435C2311yescharacteristic
410#6435C2311yescharacteristic
411#6433—21no—
412#6433—21no—
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
435C7×#97C2311yescharacteristic
436C7×#97C2311yescharacteristic
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
481C4×C7⋊C8C2311yescharacteristic
482C4×C7⋊C8C2311yescharacteristic
483C4×C7⋊C8C2311yescharacteristic
484C4×C7⋊C8C2311yescharacteristic
485#3495—71no—
486#3494—71no—
487#3181—71no—
488#3181—71no—
489#3180—71no—
490#3180D711yescharacteristic, complemented
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
518C7×#41—82no—
519C2×C7×Q8—21no—
520C2×C7×Q8C2411yescharacteristic
521C2×C7×D4—21no—
522C2×C7×D4—21no—
523C2×C7×D4—21no—
524C2×C7×D4—21no—
525C2×C7×D4—21no—
526C2×C7×D4C2411yescharacteristic
527C2×C7×D4C2411yescharacteristic
528C2×C7×D4C2411yescharacteristic
529C22×C4×C7—21no—
530C22×C4×C7—21no—
531C22×C4×C7—21no—
532C22×C4×C7C2×D411yescharacteristic
533C22×C4×C7C2×D411yescharacteristic
534C22×C4×C7C2411yescharacteristic
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—
542C2×C22⋊D7—21no—
543C2×C22⋊D7—21no—
544C22×Dic7—21no—
545C22×Dic7—21no—
546C22×Dic7—21no—
547C22×Dic7—21no—
548C22×Dic7—21no—
549C22×Dic7C2×D411yescharacteristic
550C22×Dic7C2×D411yescharacteristic
551C22×Dic7C2×D411yescharacteristic
552Q8×D7—22no—
553Q8×D7—22no—
554#1159—22no—
555#1159—22no—
556#1159—22no—
557#1159—22no—
558#1159—82no—
559D4×D7—22no—
560D4×D7—22no—
561D4×D7—82no—
562C2×D28—21no—
563C2×D28C2411yescharacteristic
564C2×C4×D7—22no—
565C2×C4×D7—22no—
566C2×C4×D7—21no—
567C2×C4×D7—21no—
568C2×C4×D7—21no—
569C2×C4×D7—21no—
570C2×C4×D7—21no—
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—
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⋊C4C2411yescharacteristic
598C7×C4⋊C4C2411yescharacteristic
599C7×C4⋊C4C2411yescharacteristic
600C7×C4⋊C4C2411yescharacteristic
601C7×C22⋊C4—21no—
602C7×C22⋊C4—21no—
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—
610C42×C7—21no—
611C42×C7C2×D411yescharacteristic
612C42×C7C2×D411yescharacteristic
613C42×C7C2411yescharacteristic
614C42×C7C2411yescharacteristic
615C22⋊Dic7—21no—
616C22⋊Dic7—21no—
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—
628#1144—22no—
629#1143—22no—
630#1142—22no—
631#1142—22no—
632#1142—22no—
633#1142—22no—
634#1142—22no—
635#1141—22no—
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)⋊C4C2×D411yescharacteristic
649(C2×D7)⋊C4C2×D411yescharacteristic
650(C2×D7)⋊C4C2×D411yescharacteristic
651(C2×D7)⋊C4C2×D411yescharacteristic
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⋊Dic7C2411yescharacteristic
666C4⋊Dic7C2411yescharacteristic
667C4⋊Dic7C2411yescharacteristic
668C4⋊Dic7C2411yescharacteristic
669Dic7⋊C4—21no—
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⋊C4C2×D411yescharacteristic
690Dic7⋊C4C2×D411yescharacteristic
691Dic7⋊C4C2×D411yescharacteristic
692Dic7⋊C4C2×D411yescharacteristic
693Dic7⋊C4C2×D411yescharacteristic
694Dic7⋊C4C2×D411yescharacteristic
695Dic7⋊C4C2×D411yescharacteristic
696Dic7⋊C4C2×D411yescharacteristic
697C4×Dic7—21no—
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—
717Dic28—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#533—71no—
764#532—71no—
765#532C2×D711yescharacteristic
766#529—71no—
767#529—71no—
768#529—71no—
769#529C2×D711yescharacteristic, complemented
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#490C2×D711yescharacteristic, complemented
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#467—71no—
822#467—71no—
823#466—71no—
824#466—71no—
825#466C2×D711yescharacteristic
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#465C2×D711yescharacteristic
842#465C2×D711yescharacteristic, complemented
843#442—71no—
844#442—71no—
845#442C2×D711yescharacteristic, complemented
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#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×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—42no—
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—41no—
935C2×C4×C7—81no—
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—
952C22⋊D7—81no—
953C2×Dic7—22no—
954C2×Dic7—22no—
955C2×Dic7—21no—
956C2×Dic7—21no—
957C2×Dic7—21no—
958C2×Dic7—21no—
959C2×Dic7—21no—
960C2×Dic7—21no—
961C2×Dic7—21no—
962C2×Dic7—41no—
963C2×Dic7—42no—
964C2×Dic7—42no—
965C2×Dic7—81no—
966C2×Dic7—81no—
967C2×Dic7—81no—
968C2×Dic7C22×D411yescharacteristic
969C2×Dic7C22×D411yescharacteristic
970C2×Dic7C22×D411yescharacteristic
971C2×Dic7C22×D411yescharacteristic
972C2×Dic7C22×D411yescharacteristic
973C2×Dic7C22×D411yescharacteristic
974D28—21no—
975D28—21no—
976D28—81no—
977C4×D7—22no—
978C4×D7—21no—
979C4×D7—21no—
980C4×D7—22no—
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—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—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—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—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—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—71no—
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⋊Q8—141no—
1129C22⋊Q8C22×D711yescharacteristic
1130#121—21no—
1131#121—71no—
1132#121—71no—
1133#121—71no—
1134#121—71no—
1135#121—71no—
1136#121—141no—
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—21no—
1165C4×D4—21no—
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×D4C22×D711yescharacteristic
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#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#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—41no—
1293C22×C7—41no—
1294C22×C7—41no—
1295C22×C7—41no—
1296C22×C7—41no—
1297C22×C7—41no—
1298C22×C7#57712yes—
1299C22×C7C23×D411yescharacteristic
1300C2×D7—21no—
1301C2×D7—21no—
1302C2×D7—21no—
1303C2×D7—21no—
1304C2×D7—21no—
1305C2×D7—44no—
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×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—82no—
1339#41—142no—
1340#41—142no—
1341#41—142no—
1342#41—142no—
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—142no—
1388C22×C4—142no—
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—142no—
1408SD16—142no—
1409SD16—142no—
1410SD16—142no—
1411SD16—142no—
1412SD16—142no—
1413SD16—142no—
1414SD16—142no—
1415D8—22no—
1416D8—22no—
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—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—71no—
1454C4⋊C4—71no—
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⋊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—21no—
1496C22⋊C4—21no—
1497C22⋊C4—71no—
1498C22⋊C4—71no—
1499C22⋊C4—71no—
1500C22⋊C4—71no—
1501C22⋊C4—71no—
1502C22⋊C4—71no—
1503C22⋊C4—71no—
1504C22⋊C4—71no—
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—71no—
1532C42—71no—
1533C42—71no—
1534C42—71no—
1535C42—141no—
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×C7—81no—
1552C2×C7C2×#53211yescharacteristic
1553C2×C7C2×#57711yescharacteristic
1554C2×C7#358411yescharacteristic
1555D7—22no—
1556D7—41no—
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—42no—
1591D4—42no—
1592D4—42no—
1593D4—81no—
1594D4—81no—
1595D4—141no—
1596D4—141no—
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—41no—
1616C2×C4—71no—
1617C2×C4—72no—
1618C2×C4—72no—
1619C2×C4—71no—
1620C2×C4—71no—
1621C2×C4—71no—
1622C2×C4—71no—
1623C2×C4—71no—
1624C2×C4—81no—
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—141no—
1640C2×C4—282no—
1641C2×C4—282no—
1642C2×C4—282no—
1643C2×C4—281no—
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—41no—
1675C22—41no—
1676C22—41no—
1677C22—72no—
1678C22—141no—
1679C22—141no—
1680C22—141no—
1681C22—141no—
1682C22—141no—
1683C22—284no—
1684C22—281no—
1685C22—281no—
1686C22—281no—
1687C22—1122no—
1688C22#9046612yes—
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—22no—
1716C2—81no—
1717C2—81no—
1718C2—81no—
1719C2—142no—
1720C2—281no—
1721C2—561no—
1722C2D7×#53211yescharacteristic
1723C2C2×#9046611yescharacteristic
1724C2#1174426711yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3180C2
socleC22×C7C23×D4
hypercenter#3180D7
hypocenterC7#60706
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3180

Complements

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

NH ≅ G/Ntype
1. #11743308C2semidirect
2. #11743225C2semidirect
3. C7×#3180C2semidirect
4. #11740735C2semidirect
5. #11740579C2semidirect
6. #11739419C2semidirect
7. #11739405C2semidirect
8. #11739292C2semidirect
9. #11739282C2semidirect
10. #11739159C2semidirect
11. #11739150C2semidirect
12. #11739126C2semidirect
13. #11739111C2semidirect
14. #11738160C2semidirect
15. #11738159C2semidirect
16. #11738146C2semidirect
17. #11738141C2semidirect
18. #11738103C2semidirect
19. D7×#465C2semidirect
20. #11738084C2semidirect
21. #11738077C2semidirect
22. #11737313C2semidirect
23. #11737311C2semidirect
24. #11737306C2semidirect
25. #11737304C2semidirect
26. #11737222C2semidirect
27. #11737221C2semidirect
28. #11737214C2semidirect
29. #11737212C2semidirect
30. #11735949C2semidirect
31. C2×#89480C2semidirect
33. C7×#529C22semidirect
48. #90388C22semidirect
50. #90373C22semidirect
57. #90313C22semidirect
64. #90291C22semidirect
66. #90274C22semidirect
70. #90252C22semidirect
82. #90161C22semidirect
83. C7×#501C22semidirect
84. C7×#496C22semidirect
85. C7×#490C22semidirect
86. C7×#489C22semidirect
88. C7×#466C22semidirect
90. C7×#465C22semidirect
91. C7×#442C22semidirect
92. C7×#442C22semidirect
93. C7×#440C22semidirect
94. C7×#440C22semidirect
95. C2×C7×#97C22semidirect
96. #89947C22semidirect
97. #89946C22semidirect
99. #89939C22semidirect
100. #89936C22semidirect
101. SD16×Dic7C22semidirect
103. #89929C22semidirect
104. #89927C22semidirect
105. #89926C22semidirect
106. #89924C22semidirect
107. D8×Dic7C22semidirect
108. #89888C22semidirect
109. #89888C22semidirect
112. C2×#6389C22semidirect
113. C2×C8×Dic7C22semidirect
114. #89865C22semidirect
115. #89851C22semidirect
116. #89848C22semidirect
117. #89842C22semidirect
118. #89840C22semidirect
119. #89836C22semidirect
120. #89831C22semidirect
121. #89828C22semidirect
122. #89823C22semidirect
126. #89813C22semidirect
127. #89813C22semidirect
128. #89813C22semidirect
130. C4×#1144C22semidirect
131. C4×#1143C22semidirect
132. C4×#1142C22semidirect
133. C4×#1142C22semidirect
134. C4×#1142C22semidirect
135. C4×#1142C22semidirect
136. C4×#1142C22semidirect
137. C4×#1141C22semidirect
138. C2×C4×C7⋊C8C22semidirect
139. #89661C22semidirect
140. #89659C22semidirect
144. #89650C22semidirect
145. #89648C22semidirect
146. #89645C22semidirect
147. #89640C22semidirect
151. #89628C22semidirect
152. #89627C22semidirect
153. #89625C22semidirect
154. #89624C22semidirect
155. #89588C22semidirect
159. #89569C22semidirect
160. #89564C22semidirect
161. #89561C22semidirect
162. #89560C22semidirect
163. #89557C22semidirect
166. #89552C22semidirect
168. #89550C22semidirect
169. #89550C22semidirect
176. #89540C22semidirect
177. #89540C22semidirect
178. #89537C22semidirect
179. #89537C22semidirect
180. #89536C22semidirect
181. #89532C22semidirect
182. #89530C22semidirect
183. #89530C22semidirect
184. #89530C22semidirect
185. #89529C22semidirect
186. #89529C22semidirect
187. #89488C22semidirect
188. #89488C22semidirect
189. #89487C22semidirect
190. #89486C22semidirect
191. #89482C22semidirect
192. #89482C22semidirect
197. #89480C22semidirect
198. #89480C22semidirect
199. #89480C22semidirect
200. #89480C22semidirect
201. #89475C22semidirect
202. #89474C22semidirect
490. #3180D7semidirect
723. #1131#41semidirect
727. C8×D7#41semidirect
769. #529C2×D7semidirect
782. #501C2×D7semidirect
790. #496C2×D7semidirect
798. #490C2×D7semidirect
802. #489C2×D7semidirect
826. #466C2×D7semidirect
842. #465C2×D7semidirect
845. #442C2×D7semidirect
846. #442C2×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
#117433082
#117432252
C7×#31802
#117407352
#117405792
#117394192
#117394052
#117392922
#117392822
#117391592
#117391502
#117391262
#117391112
#117381602
#117381592
#117381462
#117381412
#117381032
D7×#4652
#117380842
#117380772
#117373132
#117373112
#117373062
#117373042
#117372222
#117372212
#117372142
#117372122
#117359492
C2×#894802
#607067