Finite Group Databasebeta

← #14236399

Subgroups — #14236399

Order 1792.

1882 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#11744002C211yesmaximal, characteristic, complemented
2#11743709C211yesmaximal, characteristic, complemented
3C7×#3314C211yesmaximal, characteristic, complemented
4#11741068C211yesmaximal, characteristic, complemented
5#11740950C211yesmaximal, characteristic, complemented
6#11739115C211yesmaximal, characteristic, complemented
7#11739112C211yesmaximal, characteristic, complemented
8#11738921C211yesmaximal, characteristic, complemented
9#11738899C211yesmaximal, characteristic, complemented
10#11738736C211yesmaximal, characteristic, complemented
11#11738718C211yesmaximal, characteristic, complemented
12#11738402C211yesmaximal, characteristic, complemented
13#11738398C211yesmaximal, characteristic, complemented
14#11738287C211yesmaximal, characteristic, complemented
15#11738232C211yesmaximal, characteristic, complemented
16#11738222C211yesmaximal, characteristic, complemented
17#11738186C211yesmaximal, characteristic, complemented
18#11738033C211yesmaximal, characteristic, complemented
19#11738019C211yesmaximal, characteristic, complemented
20#11737714C211yesmaximal, characteristic, complemented
21#11737663C211yesmaximal, characteristic, complemented
22#11737613C211yesmaximal, characteristic, complemented
23#11737579C211yesmaximal, characteristic, complemented
24#11737223C211yesmaximal, characteristic, complemented
25#11737196C211yesmaximal, characteristic, complemented
26#11736948C211yesmaximal, characteristic, complemented
27#11736899C211yesmaximal, characteristic, complemented
28#11736351C211yesmaximal, characteristic, complemented
29#11736313C211yesmaximal, characteristic, complemented
30#11736208C211yesmaximal, characteristic, complemented
31C2×#89528C211yesmaximal, characteristic, complemented
32C7×#554C2211yescharacteristic
33C7×#546C2211yescharacteristic
34#90518C2211yescharacteristic, complemented
35#90515C2211yescharacteristic, complemented
36C2×#6513C2211yescharacteristic
37#90497C2211yescharacteristic
38C2×D4×Dic7C2211yescharacteristic
39C22×#1141C2211yescharacteristic
40C2×#6479C2211yescharacteristic
41#90424C2211yescharacteristic, complemented
42#90418C2211yescharacteristic, complemented
43#90384—21no—
44#90383—21no—
45#90373C2211yescharacteristic, complemented
46#90362C2211yescharacteristic, complemented
47#90356—21no—
48#90341—21no—
49#90334C2211yescharacteristic, complemented
50#90329—21no—
51#90328—21no—
52#90326C2211yescharacteristic
53#90324—21no—
54#90322C2211yescharacteristic, complemented
55#90321C2211yescharacteristic
56D7×C22⋊Q8—21no—
57#90313C2211yescharacteristic
58#90313C2211yescharacteristic
59#90302C2211yescharacteristic, complemented
60#90294C2211yescharacteristic, complemented
61#90293—21no—
62#90289—21no—
63#90278—21no—
64#90277—21no—
65#90265C2211yescharacteristic, complemented
66#90259C2211yescharacteristic, complemented
67#90247—21no—
68#90241C2211yescharacteristic
69#90238—21no—
70#90237C2211yescharacteristic, complemented
71#90234C2211yescharacteristic
72#90229C2211yescharacteristic
73D4×Dic14C2211yescharacteristic, complemented
74#90202C2211yescharacteristic
75#90198C2211yescharacteristic, complemented
76#90195C2211yescharacteristic, complemented
77C2×#6456C2211yescharacteristic
78#90186—21no—
79C2×#6441—21no—
80C7×#489C2211yescharacteristic, complemented
81C7×#484C2211yescharacteristic
82C7×#480C2211yescharacteristic, complemented
83C7×#474C2211yescharacteristic, complemented
84C7×#468C2211yescharacteristic, complemented
85C7×#467C2211yescharacteristic
86C7×#464C2211yescharacteristic, complemented
87C7×#452C2211yescharacteristic, complemented
88C7×#450C2211yescharacteristic
89C7×#440C2211yescharacteristic, complemented
90C7×#435C2211yescharacteristic
91C7×#417C2211yescharacteristic, complemented
92C2×C7×#102C2211yescharacteristic
93#90010C2211yescharacteristic
94#89990C2211yescharacteristic
95#89959C2211yescharacteristic, complemented
96#89957C2211yescharacteristic, complemented
97Q16×Dic7C2211yescharacteristic, complemented
98#89953C2211yescharacteristic, complemented
99#89944C2211yescharacteristic
100#89940C2211yescharacteristic
101#89937C2211yescharacteristic
102#89936C2211yescharacteristic, complemented
103#89936C2211yescharacteristic, complemented
104#89934C2211yescharacteristic, complemented
105#89934C2211yescharacteristic, complemented
106#89906C2211yescharacteristic, complemented
107#89905C2211yescharacteristic, complemented
108#89900C2211yescharacteristic, complemented
109#89894C2211yescharacteristic, complemented
110#89888C2211yescharacteristic
111C2×#6395C2211yescharacteristic
112#89883C2211yescharacteristic
113C2×C8×Dic7C2211yescharacteristic
114#89863C2211yescharacteristic, complemented
115#89850C2211yescharacteristic, complemented
116#89831C2211yescharacteristic
117#89829C2211yescharacteristic
118#89823C2211yescharacteristic
119#89823C2211yescharacteristic
120#89823C2211yescharacteristic, complemented
121#89818C2211yescharacteristic
122#89816C2211yescharacteristic
123#89816C2211yescharacteristic, complemented
124#89810C2211yescharacteristic
125#89809C2211yescharacteristic
126C4×#1144C2211yescharacteristic, complemented
127#89793C2211yescharacteristic, complemented
128#89788C2211yescharacteristic
129C4×#1141C2211yescharacteristic
130D4×C7⋊C8C2211yescharacteristic
131#89742C2211yescharacteristic
132#89742C2211yescharacteristic, complemented
133C2×#6381C2211yescharacteristic
134C2×#6381C2211yescharacteristic, complemented
135#89662C2211yescharacteristic, complemented
136#89662C2211yescharacteristic, complemented
137#89662C2211yescharacteristic, complemented
138#89661C2211yescharacteristic, complemented
139#89661C2211yescharacteristic, complemented
140#89656C2211yescharacteristic, complemented
141#89654C2211yescharacteristic, complemented
142D7×#107C2211yescharacteristic, complemented
143#89647C2211yescharacteristic, complemented
144#89646C2211yescharacteristic, complemented
145#89646C2211yescharacteristic, complemented
146#89645C2211yescharacteristic, complemented
147#89618C2211yescharacteristic, complemented
148#89617C2211yescharacteristic, complemented
149#89612C2211yescharacteristic, complemented
150#89602C2211yescharacteristic, complemented
151#89590C2211yescharacteristic, complemented
152#89590C2211yescharacteristic, complemented
153#89589C2211yescharacteristic, complemented
154#89589C2211yescharacteristic, complemented
155#89589C2211yescharacteristic, complemented
156#89585C2211yescharacteristic, complemented
157#89584C2211yescharacteristic, complemented
158#89581C2211yescharacteristic, complemented
159#89575C2211yescharacteristic, complemented
160#89567C2211yescharacteristic, complemented
161#89566C2211yescharacteristic, complemented
162#89564C2211yescharacteristic, complemented
163#89564C2211yescharacteristic, complemented
164#89562C2211yescharacteristic, complemented
165#89562C2211yescharacteristic, complemented
166#89562C2211yescharacteristic, complemented
167#89559C2211yescharacteristic
168#89555C2211yescharacteristic, complemented
169#89553C2211yescharacteristic
170#89552C2211yescharacteristic, complemented
171#89547C2211yescharacteristic
172#89546C2211yescharacteristic, complemented
173#89543C2211yescharacteristic, complemented
174#89539C2211yescharacteristic, complemented
175#89537C2211yescharacteristic, complemented
176#89531C2211yescharacteristic, complemented
177#89531C2211yescharacteristic, complemented
178#89531C2211yescharacteristic, complemented
179#89529C2211yescharacteristic, complemented
180#89529C2211yescharacteristic, complemented
181#89529C2211yescharacteristic, complemented
182#89528C2211yescharacteristic
183#89528C2211yescharacteristic
184#89528C2211yescharacteristic
185#89528C2211yescharacteristic
186#89528C2211yescharacteristic
187#89528C2211yescharacteristic
188#89528C2211yescharacteristic
189#89528C2211yescharacteristic
190#89528C2211yescharacteristic
191#89508C2211yescharacteristic, complemented
192#89505C2211yescharacteristic, complemented
193#89503C2211yescharacteristic
194(C22⋊D7)⋊C8C2211yescharacteristic
195(C22⋊D7)⋊C8C2211yescharacteristic, complemented
196#89494C2211yescharacteristic
197#89492C2211yescharacteristic, complemented
198#89491C2211yescharacteristic
199#89486C2211yescharacteristic, complemented
200#89482C2211yescharacteristic, complemented
201#89480C2211yescharacteristic, complemented
202#89473C2211yescharacteristic, complemented
203#61482—71nomaximal, Sylow
204C2×C7×#41C2311yescharacteristic
205C22×C7×D4C2311yescharacteristic
206C23×Dic7—21no—
207C2×#1161C2311yescharacteristic
208C2×Q8×D7—21no—
209C2×#1159—21no—
210C2×#1159C2311yescharacteristic
211C2×#1157—21no—
212C2×#1157C2311yescharacteristic
213C22×D28C2311yescharacteristic
214C22×C4×D7—21no—
215C22×Dic14—21no—
216C2×C7×Q16C2311yescharacteristic
217C2×C7×SD16C2311yescharacteristic
218C2×C7×SD16C2311yescharacteristic
219C2×C7×M16C2311yescharacteristic
220C22×C7×C8C2311yescharacteristic
221C7×C4⋊Q8C2311yescharacteristic
222C7×#125—21no—
223C7×#124C2311yescharacteristic
224C7×#123—21no—
225C7×C22⋊Q8—21no—
226C7×C22⋊Q8—21no—
227C7×C22⋊Q8C2311yescharacteristic
228C7×C22⋊Q8C2311yescharacteristic
229C7×C22⋊Q8C2311yescharacteristic
230C7×#121—21no—
231C7×#121C2311yescharacteristic
232C7×#120—21no—
233C4×C7×Q8C2311yescharacteristic
234C4×C7×D4—21no—
235C4×C7×D4C2311yescharacteristic
236C4×C7×D4C2311yescharacteristic
237C2×C7×C4⋊C4C2311yescharacteristic
238C2×C7×C4⋊C4C2311yescharacteristic
239C2×C7×C22⋊C4—21no—
240#6516—21no—
241C2×C22⋊Dic7—21no—
242C2×C22⋊Dic7—21no—
243#6513—24no—
244#6510—21no—
245#6510C2311yescharacteristic
246#6509—21no—
247#6509—21no—
248#6509C2311yescharacteristic
249Q8×Dic7C2311yescharacteristic
250Q8×Dic7C2311yescharacteristic
251Q8×Dic7C2311yescharacteristic
252#6507C2311yescharacteristic
253#6507C2311yescharacteristic
254C2×#1144C2311yescharacteristic
255C2×#1144C2311yescharacteristic
256C2×#1143C2311yescharacteristic
257C2×#1143C2311yescharacteristic
258#6502—21no—
259#6502—21no—
260#6502D411yescharacteristic
261#6501C2311yescharacteristic
262#6500—21no—
263#6499—21no—
264#6499C2311yescharacteristic
265#6498—21no—
266#6498—21no—
267#6498—21no—
268#6498—21no—
269#6498D411yescharacteristic
270D4×Dic7—21no—
271D4×Dic7—21no—
272D4×Dic7—21no—
273D4×Dic7—21no—
274D4×Dic7—21no—
275D4×Dic7C2311yescharacteristic
276D4×Dic7C2311yescharacteristic
277D4×Dic7C2311yescharacteristic
278D4×Dic7C2311yescharacteristic
279D4×Dic7C2311yescharacteristic
280C2×#1142C2311yescharacteristic
281C2×#1142C2311yescharacteristic
282C2×#1141—24no—
283C2×#1141C2311yescharacteristic
284C2×#1141C2311yescharacteristic
285C2×#1141C2311yescharacteristic
286C2×#1141C2311yescharacteristic
287#6493C2311yescharacteristic
288#6492—21no—
289#6492—21no—
290C4×C22⋊D7—21no—
291C4×C22⋊D7—21no—
292C4×C22⋊D7—21no—
293C4×C22⋊D7—21no—
294C4×C22⋊D7C2311yescharacteristic
295C4×C22⋊D7C2311yescharacteristic
296C2×(C2×D7)⋊C4—21no—
297#6489—21no—
298#6489C2311yescharacteristic
299C2×C4⋊Dic7—21no—
300C2×C4⋊Dic7C2311yescharacteristic
301C2×C4⋊Dic7C2311yescharacteristic
302#6487—21no—
303#6487—21no—
304#6487C2311yescharacteristic
305#6487C2311yescharacteristic
306#6487C2311yescharacteristic
307C2×Dic7⋊C4—21no—
308C2×Dic7⋊C4—21no—
309C2×C4×Dic7C2311yescharacteristic
310C22×C7⋊C8C2311yescharacteristic
311C22×C7⋊C8C2311yescharacteristic
312#6479—24no—
313C2×Dic28C2311yescharacteristic
314C2×#1132C2311yescharacteristic
315C2×#1132C2311yescharacteristic
316C2×#1131C2311yescharacteristic
317C2×C8×D7C2311yescharacteristic
318#6461—21no—
319#6461—21no—
320#6461—21no—
321#6461D411yescharacteristic
322#6460—21no—
323#6460—21no—
324#6460C2311yescharacteristic
325#6459—21no—
326#6459—21no—
327#6459—21no—
328#6459—21no—
329#6459—21no—
330#6458—21no—
331#6458C2311yescharacteristic
332#6457—21no—
333#6457—21no—
334#6457—21no—
335#6457—21no—
336#6457—21no—
337#6456—21no—
338#6456—21no—
339#6456—21no—
340#6456C2311yescharacteristic
341#6456C2311yescharacteristic
342#6456C2311yescharacteristic
343#6456C2311yescharacteristic
344#6456C2311yescharacteristic
345#6455—21no—
346D7×C4⋊C4—21no—
347D7×C4⋊C4—21no—
348D7×C4⋊C4—21no—
349D7×C4⋊C4C2311yescharacteristic
350D7×C4⋊C4C2311yescharacteristic
351#6453—21no—
352#6452—21no—
353#6452—21no—
354#6452—21no—
355#6452—21no—
356#6452D411yescharacteristic
357#6451C2311yescharacteristic
358#6451C2311yescharacteristic
359#6451C2311yescharacteristic
360#6451C2311yescharacteristic
361#6450—21no—
362#6450—21no—
363#6450C2311yescharacteristic
364#6450C2311yescharacteristic
365#6450C2311yescharacteristic
366#6449—21no—
367#6449D411yescharacteristic
368#6448—21no—
369#6448—21no—
370#6448D411yescharacteristic
371#6447—21no—
372#6447—21no—
373#6446—21no—
374#6446—21no—
375#6446—21no—
376#6445—21no—
377(C22⋊D7)⋊C4—21no—
378(C22⋊D7)⋊C4—21no—
379D7×C22⋊C4—21no—
380D7×C22⋊C4—21no—
381#6442—21no—
382#6442—21no—
383#6442—21no—
384#6442—21no—
385#6442D411yescharacteristic
386#6441—21no—
387#6441—21no—
388#6441—21no—
389#6441—21no—
390#6441—21no—
391#6441—21no—
392#6441—21no—
393#6441—21no—
394#6441—21no—
395#6441—21no—
396#6441—21no—
397#6441D411yescharacteristic
398#6440—21no—
399#6440—21no—
400#6440—21no—
401#6440—21no—
402#6439—21no—
403#6438C2311yescharacteristic
404C4×D28—21no—
405C4×D28C2311yescharacteristic
406#6435—21no—
407#6435—21no—
408#6435C2311yescharacteristic
409#6432C2311yescharacteristic
410C4×Dic14C2311yescharacteristic
411C4×Dic14C2311yescharacteristic
412C7×#107C2311yescharacteristic
413C7×#107C2311yescharacteristic
414C7×#107C2311yescharacteristic
415C7×C4⋊C8C2311yescharacteristic
416C7×#103C2311yescharacteristic
417C7×#103C2311yescharacteristic
418C7×#103C2311yescharacteristic
419C7×#103C2311yescharacteristic
420C7×#102C2311yescharacteristic
421C7×#102C2311yescharacteristic
422C7×#102C2311yescharacteristic
423C7×#102C2311yescharacteristic
424C7×#102C2311yescharacteristic
425C7×#102C2311yescharacteristic
426C7×C22⋊C8C2311yescharacteristic
427C7×C22⋊C8C2311yescharacteristic
428C7×#97C2311yescharacteristic
429#6409C2311yescharacteristic
430#6409C2311yescharacteristic
431#6409C2311yescharacteristic
432#6409C2311yescharacteristic
433#6406C2311yescharacteristic
434#6406C2311yescharacteristic
435C22⋊(C7⋊C8)C2311yescharacteristic
436C22⋊(C7⋊C8)C2311yescharacteristic
437#6395C2311yescharacteristic
438#6395C2311yescharacteristic
439#6395C2311yescharacteristic
440#6395C2311yescharacteristic
441#6395C2311yescharacteristic
442#6395C2311yescharacteristic
443(C2×D7)⋊C8C2311yescharacteristic
444(C2×D7)⋊C8C2311yescharacteristic
445#6392C2311yescharacteristic
446#6392C2311yescharacteristic
447#6392C2311yescharacteristic
448#6390C2311yescharacteristic
449#6390C2311yescharacteristic
450#6390C2311yescharacteristic
451#6390C2311yescharacteristic
452#6389C2311yescharacteristic
453#6389C2311yescharacteristic
454#6389C2311yescharacteristic
455Dic7⋊C8C2311yescharacteristic
456Dic7⋊C8C2311yescharacteristic
457Dic7⋊C8C2311yescharacteristic
458Dic7⋊C8C2311yescharacteristic
459C8×Dic7C2311yescharacteristic
460C8×Dic7C2311yescharacteristic
461C8×Dic7C2311yescharacteristic
462C8×Dic7C2311yescharacteristic
463C8×Dic7C2311yescharacteristic
464#6384C2311yescharacteristic
465#6384C2311yescharacteristic
466#6384C2311yescharacteristic
467#6384C2311yescharacteristic
468#6383C2311yescharacteristic
469#6383C2311yescharacteristic
470#6381C2311yescharacteristic
471#6381C2311yescharacteristic
472#6381C2311yescharacteristic
473#6381C2311yescharacteristic
474#6381C2311yescharacteristic
475#6381C2311yescharacteristic
476#6381C2311yescharacteristic
477#6381C2311yescharacteristic
478#6381C2311yescharacteristic
479#6381C2311yescharacteristic
480C4⋊(C7⋊C8)C2311yescharacteristic
481C4×C7⋊C8C2311yescharacteristic
482#3520—71no—
483#3520—71no—
484#3393—71no—
485Q8×D8—71no—
486#3367—71no—
487#3367—71no—
488#3338—71no—
489#3338—71no—
490#3334—71no—
491#3330—71no—
492#3330—71no—
493#3314—71no—
494#3314—71no—
495#3314—71no—
496#3314D711yescharacteristic, complemented
497#3283—71no—
498#3280—71no—
499#3280—71no—
500#3175—71no—
501#3175—71no—
502#3170—71no—
503#3124—71no—
504#3124—71no—
505#3124—71no—
506#3124—71no—
507#3110—71no—
508#3110—71no—
509#2966—71no—
510#2951—71no—
511#2951—71no—
512C2×C4×D8—71no—
513C24×C7—21no—
514C23×D7—21no—
515C7×#41—22no—
516C7×#41—41no—
517C2×C7×Q8—21no—
518C2×C7×Q8C2411yescharacteristic
519C2×C7×Q8C2411yescharacteristic
520C2×C7×D4—22no—
521C2×C7×D4—21no—
522C2×C7×D4—21no—
523C2×C7×D4—21no—
524C2×C7×D4—41no—
525C2×C7×D4C2×D411yescharacteristic
526C2×C7×D4C2411yescharacteristic
527C2×C7×D4C2411yescharacteristic
528C22×C4×C7—21no—
529C22×C4×C7—21no—
530C22×C4×C7—21no—
531C22×C4×C7—21no—
532C22×C4×C7C2411yescharacteristic
533C22×C4×C7C2411yescharacteristic
534C2×C22⋊D7—21no—
535C2×C22⋊D7—21no—
536C2×C22⋊D7—21no—
537C2×C22⋊D7—21no—
538C2×C22⋊D7C2×D411yescharacteristic
539C2×C22⋊D7C2×D411yescharacteristic
540C22×Dic7—21no—
541C22×Dic7—21no—
542C22×Dic7—21no—
543C22×Dic7—21no—
544C22×Dic7—21no—
545C22×Dic7—21no—
546C22×Dic7—21no—
547C22×Dic7—21no—
548C22×Dic7—82no—
549C22×Dic7C2×D411yescharacteristic
550C22×Dic7C2×D411yescharacteristic
551#1161—22no—
552#1161—41no—
553Q8×D7—82no—
554#1159—22no—
555#1159—41no—
556#1159—82no—
557#1157—22no—
558#1157—41no—
559#1157—82no—
560C2×D28—22no—
561C2×D28—21no—
562C2×D28—21no—
563C2×D28—21no—
564C2×D28—41no—
565C2×D28C2411yescharacteristic
566C2×D28C2411yescharacteristic
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×D7—21no—
574C2×C4×D7—21no—
575C2×C4×D7—21no—
576C2×C4×D7—21no—
577C2×C4×D7—82no—
578C2×C4×D7C2411yescharacteristic
579C2×Dic14—21no—
580C2×Dic14—21no—
581C2×Dic14—21no—
582C2×Dic14—21no—
583C2×Dic14—21no—
584C2×Dic14—82no—
585C2×Dic14C2×D411yescharacteristic
586C2×Dic14C2411yescharacteristic
587C2×Dic14C2411yescharacteristic
588C7×Q16—41no—
589C7×SD16—22no—
590C7×SD16—41no—
591C7×M16—41no—
592C2×C7×C8—41no—
593C2×C7×C8C2411yescharacteristic
594C2×C7×C8C2411yescharacteristic
595C2×C7×C8C2411yescharacteristic
596C2×C7×C8C2411yescharacteristic
597C7×C4⋊C4—21no—
598C7×C4⋊C4—21no—
599C7×C4⋊C4—21no—
600C7×C4⋊C4—21no—
601C7×C4⋊C4—21no—
602C7×C4⋊C4—21no—
603C7×C4⋊C4—21no—
604C7×C4⋊C4C2×D411yescharacteristic
605C7×C4⋊C4C2411yescharacteristic
606C7×C4⋊C4C2411yescharacteristic
607C7×C4⋊C4C2411yescharacteristic
608C7×C4⋊C4C2411yescharacteristic
609C7×C22⋊C4—21no—
610C7×C22⋊C4—21no—
611C7×C22⋊C4—21no—
612C7×C22⋊C4—21no—
613C7×C22⋊C4—21no—
614C7×C22⋊C4—21no—
615C7×C22⋊C4—21no—
616C7×C22⋊C4C2×D411yescharacteristic
617C7×C22⋊C4C2×D411yescharacteristic
618C42×C7—21no—
619C42×C7C2411yescharacteristic
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⋊Dic7—21no—
631C22⋊Dic7C2×D411yescharacteristic
632C22⋊Dic7C2×D411yescharacteristic
633C22⋊Dic7C2×D411yescharacteristic
634C22⋊Dic7C2×D411yescharacteristic
635#1144—22no—
636#1144—22no—
637#1143—22no—
638#1143—41no—
639#1142—22no—
640#1142—41no—
641#1141—22no—
642#1141—22no—
643#1141—22no—
644#1141#4114yescomplemented
645(C2×D7)⋊C4—21no—
646(C2×D7)⋊C4—21no—
647(C2×D7)⋊C4—21no—
648(C2×D7)⋊C4—21no—
649(C2×D7)⋊C4—21no—
650(C2×D7)⋊C4—21no—
651(C2×D7)⋊C4—21no—
652(C2×D7)⋊C4—21no—
653(C2×D7)⋊C4—21no—
654(C2×D7)⋊C4—21no—
655(C2×D7)⋊C4—21no—
656(C2×D7)⋊C4—21no—
657(C2×D7)⋊C4—21no—
658(C2×D7)⋊C4—21no—
659(C2×D7)⋊C4C2×D411yescharacteristic
660(C2×D7)⋊C4C2×D411yescharacteristic
661(C2×D7)⋊C4C2×D411yescharacteristic
662(C2×D7)⋊C4C2×D411yescharacteristic
663C4⋊Dic7—21no—
664C4⋊Dic7—21no—
665C4⋊Dic7—21no—
666C4⋊Dic7—21no—
667C4⋊Dic7—21no—
668C4⋊Dic7—21no—
669C4⋊Dic7—21no—
670C4⋊Dic7C2×D411yescharacteristic
671C4⋊Dic7C2×D411yescharacteristic
672C4⋊Dic7C2×D411yescharacteristic
673C4⋊Dic7C2411yescharacteristic
674C4⋊Dic7C2411yescharacteristic
675C4⋊Dic7C2411yescharacteristic
676C4⋊Dic7C2411yescharacteristic
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⋊C4—21no—
692Dic7⋊C4—21no—
693Dic7⋊C4—21no—
694Dic7⋊C4—21no—
695Dic7⋊C4C2×D411yescharacteristic
696Dic7⋊C4C2×D411yescharacteristic
697Dic7⋊C4C2×D411yescharacteristic
698Dic7⋊C4C2×D411yescharacteristic
699Dic7⋊C4C2×D411yescharacteristic
700Dic7⋊C4C2×D411yescharacteristic
701C4×Dic7—21no—
702C4×Dic7—21no—
703C4×Dic7—21no—
704C4×Dic7—21no—
705C4×Dic7—21no—
706C4×Dic7—21no—
707C4×Dic7—21no—
708C4×Dic7C2×D411yescharacteristic
709C4×Dic7C2×D411yescharacteristic
710C4×Dic7C2411yescharacteristic
711C4×Dic7C2411yescharacteristic
712C4×Dic7C2411yescharacteristic
713C2×C7⋊C8—22no—
714C2×C7⋊C8—22no—
715C2×C7⋊C8C2411yescharacteristic
716C2×C7⋊C8C2411yescharacteristic
717C2×C7⋊C8C2411yescharacteristic
718C2×C7⋊C8C2411yescharacteristic
719Dic28—41no—
720#1132—22no—
721#1132—41no—
722#1131—41no—
723C8×D7—22no—
724C2×#135—71no—
725C2×#135—71no—
726C22×D8—71no—
727#556—71no—
728#556—71no—
729#554—71no—
730#554—71no—
731#554—71no—
732#554C2×D711yescharacteristic
733#552—141no—
734#552—141no—
735#551—141no—
736#551—141no—
737#551—141no—
738#551—141no—
739D4×Q8—71no—
740D4×Q8—71no—
741#548—141no—
742#548—141no—
743#547—71no—
744#547—71no—
745#547—71no—
746#547—71no—
747#546—71no—
748#546—71no—
749#546—71no—
750#546C2×D711yescharacteristic
751#542—71no—
752#542—71no—
753#542—71no—
754#542—71no—
755#539—141no—
756#539—141no—
757#539—141no—
758#539—141no—
759#533—71no—
760#533—71no—
761#529—71no—
762#525—141no—
763#525—141no—
764C2×C22⋊Q8—141no—
765C2×C22⋊Q8—141no—
766#520—71no—
767#520—71no—
768#520—71no—
769#520—71no—
770C2×C4×D4—71no—
771C2×C4×D4—71no—
772#500—71no—
773#500—71no—
774#500—71no—
775#495—71no—
776#495—71no—
777#494—71no—
778#489—71no—
779#489—71no—
780#489—71no—
781#489C2×D711yescharacteristic, complemented
782#487—71no—
783#487—71no—
784#484—71no—
785#484—71no—
786#484—71no—
787#484—71no—
788#484—71no—
789#484—71no—
790#484—71no—
791#484C2×D711yescharacteristic
792#480—71no—
793#480—71no—
794#480—71no—
795#480C2×D711yescharacteristic, complemented
796#477—71no—
797#477—71no—
798#477—71no—
799#477—71no—
800#474—71no—
801#474—71no—
802#474—71no—
803#474—71no—
804#474—71no—
805#474—71no—
806#474—71no—
807#474C2×D711yescharacteristic, complemented
808#468—71no—
809#468—71no—
810#468—71no—
811#468C2×D711yescharacteristic, complemented
812#467—71no—
813#467—71no—
814#467—71no—
815#467—71no—
816#467—71no—
817#467C2×D711yescharacteristic
818#466—71no—
819#466—71no—
820#464—71no—
821#464—71no—
822#464—71no—
823#464C2×D711yescharacteristic, complemented
824#463—71no—
825#463—71no—
826#463—71no—
827#463—71no—
828#461—71no—
829#461—71no—
830#461—71no—
831#461—71no—
832#452—71no—
833#452—71no—
834#452—71no—
835#452C2×D711yescharacteristic, complemented
836#450—71no—
837#450—71no—
838#450—71no—
839#450C2×D711yescharacteristic
840#449—71no—
841#449—71no—
842#449—71no—
843#449—71no—
844#446—71no—
845C8×Q8—71no—
846#440—71no—
847#440—71no—
848#440—71no—
849#440—71no—
850#440—71no—
851#440—71no—
852#440—71no—
853#440—71no—
854#440—71no—
855#440—71no—
856#440—71no—
857#440C2×D711yescharacteristic, complemented
858C4×Q16—71no—
859C4×Q16—71no—
860C4×Q16—71no—
861C4×Q16—71no—
862C4×Q16—71no—
863C4×Q16—71no—
864C4×D8—71no—
865C4×D8—71no—
866C4×D8—71no—
867C4×D8—71no—
868C4×D8—71no—
869C4×D8—71no—
870C4×D8—71no—
871C4×D8—71no—
872C4×D8—71no—
873C4×D8—71no—
874#436—71no—
875#435—71no—
876#435C2×D711yescharacteristic
877C8×D4—71no—
878C8×D4—71no—
879C8×D4—71no—
880#433—71no—
881#433—71no—
882#432—71no—
883C2×#107—71no—
884C2×#107—71no—
885C2×#107—71no—
886#417—71no—
887#417—71no—
888#417—71no—
889#417C2×D711yescharacteristic, complemented
890C2×#102—71no—
891C2×#102C2×D711yescharacteristic
892#405—71no—
893#405—71no—
894C2×C4×C8—71no—
895C23×C7—21no—
896C23×C7—21no—
897C23×C7—42no—
898C23×C7—42no—
899C23×C7—81no—
900C23×C7C22×D411yescharacteristic
901C23×C7C22×D411yescharacteristic
902C22×D7—21no—
903C22×D7—21no—
904C22×D7—42no—
905C22×D7—42no—
906C22×D7—81no—
907C22×D7C22×D411yescharacteristic
908C7×Q8—21no—
909C7×Q8—21no—
910C7×Q8—21no—
911C7×Q8—21no—
912C7×Q8—81no—
913C7×D4—22no—
914C7×D4—21no—
915C7×D4—21no—
916C7×D4—21no—
917C7×D4—42no—
918C7×D4—42no—
919C7×D4—81no—
920C7×D4C2×#4112yes—
921C2×C4×C7—21no—
922C2×C4×C7—21no—
923C2×C4×C7—21no—
924C2×C4×C7—21no—
925C2×C4×C7—21no—
926C2×C4×C7—21no—
927C2×C4×C7—21no—
928C2×C4×C7—21no—
929C2×C4×C7—21no—
930C2×C4×C7—21no—
931C2×C4×C7—42no—
932C2×C4×C7—81no—
933C2×C4×C7—81no—
934C2×C4×C7—81no—
935C2×C4×C7C22×D411yescharacteristic
936C2×C4×C7C22×D411yescharacteristic
937C2×C4×C7C22×D411yescharacteristic
938C2×C4×C7C22×D411yescharacteristic
939C2×C4×C7C2511yescharacteristic
940C22⋊D7—22no—
941C22⋊D7—22no—
942C22⋊D7—42no—
943C22⋊D7—42no—
944C22⋊D7—81no—
945C22⋊D7—81no—
946C2×Dic7—22no—
947C2×Dic7—22no—
948C2×Dic7—21no—
949C2×Dic7—21no—
950C2×Dic7—21no—
951C2×Dic7—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—42no—
955C2×Dic7—42no—
956C2×Dic7—42no—
957C2×Dic7—81no—
958C2×Dic7—81no—
959C2×Dic7—81no—
960C2×Dic7—81no—
961C2×Dic7—81no—
962C2×Dic7C22×D411yescharacteristic
963C2×Dic7C22×D411yescharacteristic
964C2×Dic7C22×D411yescharacteristic
965C2×Dic7C22×D411yescharacteristic
966C2×Dic7C22×D411yescharacteristic
967C2×Dic7C22×D411yescharacteristic
968C2×Dic7C22×D411yescharacteristic
969D28—21no—
970D28—21no—
971D28—21no—
972D28—42no—
973D28—42no—
974D28—81no—
975D28C2×#4112yes—
976C4×D7—21no—
977C4×D7—21no—
978C4×D7—42no—
979C4×D7—42no—
980C4×D7—42no—
981C4×D7—42no—
982C4×D7—81no—
983C4×D7—81no—
984C4×D7—81no—
985C4×D7—81no—
986C4×D7—81no—
987C4×D7—81no—
988Dic14—22no—
989Dic14—21no—
990Dic14—21no—
991Dic14—21no—
992Dic14—21no—
993Dic14—42no—
994Dic14—42no—
995Dic14—81no—
996Dic14—81no—
997Dic14—81no—
998C7×C8—21no—
999C7×C8—21no—
1000C7×C8—21no—
1001C7×C8—21no—
1002C7⋊C8—21no—
1003C7⋊C8—21no—
1004C7⋊C8—21no—
1005C7⋊C8C2×#4112yes—
1006C2×#41—71no—
1007C2×#41—71no—
1008C2×#41—71no—
1009C2×#41—141no—
1010C2×#41—141no—
1011C2×#41C22×D711yescharacteristic
1012C22×Q8—141no—
1013C22×Q8—141no—
1014C22×D4—71no—
1015C22×D4C22×D711yescharacteristic
1016C23×C4—141no—
1017C23×C4—141no—
1018#135—144no—
1019#135—144no—
1020C2×Q16—71no—
1021C2×Q16—71no—
1022C2×Q16—71no—
1023C2×Q16C22×D711yescharacteristic
1024C2×SD16—71no—
1025C2×SD16—71no—
1026C2×SD16—71no—
1027C2×SD16—71no—
1028C2×SD16—71no—
1029C2×SD16—71no—
1030C2×SD16C22×D711yescharacteristic
1031C2×SD16C22×D711yescharacteristic
1032C2×D8—71no—
1033C2×D8—71no—
1034C2×D8—71no—
1035C2×D8—71no—
1036C2×D8—144no—
1037C2×M16—71no—
1038C2×M16C22×D711yescharacteristic
1039C22×C8—71no—
1040C22×C8—71no—
1041C22×C8—71no—
1042C22×C8C22×D711yescharacteristic
1043C4⋊Q8—71no—
1044C4⋊Q8—71no—
1045C4⋊Q8—71no—
1046C4⋊Q8—71no—
1047C4⋊Q8—71no—
1048C4⋊Q8—71no—
1049C4⋊Q8—71no—
1050C4⋊Q8C22×D711yescharacteristic
1051#126—71no—
1052#126—71no—
1053#126—141no—
1054#126—141no—
1055#126—141no—
1056#126—141no—
1057#126—141no—
1058#126—141no—
1059#126—141no—
1060#126—141no—
1061#125—21no—
1062#125—71no—
1063#125—141no—
1064#125—141no—
1065#125—141no—
1066#125—141no—
1067#125—141no—
1068#124—71no—
1069#124—71no—
1070#124—71no—
1071#124—71no—
1072#124—141no—
1073#124—141no—
1074#124—141no—
1075#124—141no—
1076#124C22×D711yescharacteristic
1077#123—21no—
1078#123—71no—
1079#123—71no—
1080#123—141no—
1081#123—141no—
1082#123—141no—
1083#123—141no—
1084#123—141no—
1085#123—141no—
1086#123—141no—
1087#123—141no—
1088#123—141no—
1089#123—141no—
1090#123—141no—
1091#123—141no—
1092#123—141no—
1093#123—141no—
1094#123—141no—
1095C22⋊Q8—21no—
1096C22⋊Q8—21no—
1097C22⋊Q8—71no—
1098C22⋊Q8—71no—
1099C22⋊Q8—71no—
1100C22⋊Q8—71no—
1101C22⋊Q8—71no—
1102C22⋊Q8—71no—
1103C22⋊Q8—141no—
1104C22⋊Q8—141no—
1105C22⋊Q8—141no—
1106C22⋊Q8—141no—
1107C22⋊Q8—141no—
1108C22⋊Q8—141no—
1109C22⋊Q8—141no—
1110C22⋊Q8—141no—
1111C22⋊Q8—141no—
1112C22⋊Q8—141no—
1113C22⋊Q8—141no—
1114C22⋊Q8—141no—
1115C22⋊Q8—141no—
1116C22⋊Q8—141no—
1117C22⋊Q8—141no—
1118C22⋊Q8—141no—
1119C22⋊Q8—141no—
1120C22⋊Q8—141no—
1121C22⋊Q8—141no—
1122C22⋊Q8—141no—
1123C22⋊Q8—141no—
1124C22⋊Q8—141no—
1125C22⋊Q8C22×D711yescharacteristic
1126C22⋊Q8C22×D711yescharacteristic
1127C22⋊Q8C22×D711yescharacteristic
1128#121—21no—
1129#121—71no—
1130#121—71no—
1131#121—71no—
1132#121—71no—
1133#121—141no—
1134#121—141no—
1135#121—141no—
1136#121—141no—
1137#121—141no—
1138#121C22×D711yescharacteristic
1139#120—21no—
1140#120—141no—
1141#120—141no—
1142#120—141no—
1143C4×Q8—71no—
1144C4×Q8—71no—
1145C4×Q8—71no—
1146C4×Q8—71no—
1147C4×Q8—71no—
1148C4×Q8—71no—
1149C4×Q8—71no—
1150C4×Q8—71no—
1151C4×Q8—141no—
1152C4×Q8—141no—
1153C4×Q8C22×D711yescharacteristic
1154C4×D4—21no—
1155C4×D4—71no—
1156C4×D4—71no—
1157C4×D4—71no—
1158C4×D4—71no—
1159C4×D4—71no—
1160C4×D4—71no—
1161C4×D4—71no—
1162C4×D4—71no—
1163C4×D4—71no—
1164C4×D4—71no—
1165C4×D4—71no—
1166C4×D4—71no—
1167C4×D4—71no—
1168C4×D4—141no—
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×D4C22×D711yescharacteristic
1184C4×D4C22×D711yescharacteristic
1185#117—71no—
1186#117—71no—
1187#117—141no—
1188#117—141no—
1189#117—141no—
1190#117—141no—
1191#117—141no—
1192#117—141no—
1193#117—141no—
1194#117—141no—
1195C2×C4⋊C4—71no—
1196C2×C4⋊C4—71no—
1197C2×C4⋊C4—71no—
1198C2×C4⋊C4—71no—
1199C2×C4⋊C4—141no—
1200C2×C4⋊C4—141no—
1201C2×C4⋊C4—141no—
1202C2×C4⋊C4—141no—
1203C2×C4⋊C4—141no—
1204C2×C4⋊C4—141no—
1205C2×C4⋊C4C22×D711yescharacteristic
1206C2×C4⋊C4C22×D711yescharacteristic
1207C2×C22⋊C4—21no—
1208C2×C22⋊C4—141no—
1209C2×C22⋊C4—141no—
1210C2×C22⋊C4—141no—
1211C2×C22⋊C4—141no—
1212C2×C22⋊C4—141no—
1213C2×C42—71no—
1214#107—71no—
1215#107—71no—
1216#107—71no—
1217#107—71no—
1218#107—71no—
1219#107—71no—
1220#107—71no—
1221#107—71no—
1222#107—71no—
1223#107—71no—
1224#107—71no—
1225#107—71no—
1226#107—71no—
1227#107C22×D711yescharacteristic
1228#107C22×D711yescharacteristic
1229#107C22×D711yescharacteristic
1230C4⋊C8—71no—
1231C4⋊C8—71no—
1232C4⋊C8—71no—
1233C4⋊C8—71no—
1234C4⋊C8—71no—
1235C4⋊C8C22×D711yescharacteristic
1236#103—71no—
1237#103—71no—
1238#103—71no—
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#103C22×D711yescharacteristic
1249#103C22×D711yescharacteristic
1250#103C22×D711yescharacteristic
1251#103C22×D711yescharacteristic
1252#102—71no—
1253#102—71no—
1254#102—71no—
1255#102—71no—
1256#102—71no—
1257#102—71no—
1258#102—71no—
1259#102—71no—
1260#102—71no—
1261#102—71no—
1262#102C22×D711yescharacteristic
1263#102C22×D711yescharacteristic
1264#102C22×D711yescharacteristic
1265#102C22×D711yescharacteristic
1266#102C22×D711yescharacteristic
1267#102C22×D711yescharacteristic
1268C22⋊C8—71no—
1269C22⋊C8—71no—
1270C22⋊C8—71no—
1271C22⋊C8—71no—
1272C22⋊C8C22×D711yescharacteristic
1273C22⋊C8C22×D711yescharacteristic
1274#97—71no—
1275#97—71no—
1276#97—71no—
1277#97C22×D711yescharacteristic
1278C4×C8—71no—
1279C4×C8—71no—
1280C4×C8—71no—
1281C4×C8—71no—
1282C4×C8—71no—
1283C4×C8—71no—
1284C22×C7—21no—
1285C22×C7—21no—
1286C22×C7—22no—
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—84no—
1296C22×C7#57812yes—
1297C22×C7C23×D411yescharacteristic
1298C2×D7—21no—
1299C2×D7—22no—
1300C2×D7—21no—
1301C2×D7—21no—
1302C2×D7—41no—
1303C2×D7—41no—
1304C2×D7—41no—
1305C2×D7—41no—
1306C2×D7—41no—
1307C2×D7—84no—
1308C4×C7—21no—
1309C4×C7—21no—
1310C4×C7—21no—
1311C4×C7—21no—
1312C4×C7—41no—
1313C4×C7—41no—
1314C4×C7—41no—
1315C4×C7—41no—
1316C4×C7—41no—
1317C4×C7—41no—
1318C4×C7C22×#4111yescharacteristic
1319C4×C7#58511yescharacteristic
1320Dic7—21no—
1321Dic7—21no—
1322Dic7—21no—
1323Dic7—21no—
1324Dic7—21no—
1325Dic7—21no—
1326Dic7—41no—
1327Dic7—41no—
1328Dic7—41no—
1329Dic7—41no—
1330Dic7—41no—
1331Dic7—41no—
1332Dic7#57612yes—
1333C24—21no—
1334C24—141no—
1335#41—22no—
1336#41—41no—
1337#41—142no—
1338#41—142no—
1339#41—142no—
1340#41—281no—
1341#41—281no—
1342#41—281no—
1343#41—562no—
1344#41—562no—
1345C2×Q8—21no—
1346C2×Q8—71no—
1347C2×Q8—71no—
1348C2×Q8—71no—
1349C2×Q8—141no—
1350C2×Q8—141no—
1351C2×Q8—141no—
1352C2×Q8—141no—
1353C2×Q8—141no—
1354C2×Q8—562no—
1355C2×Q8—562no—
1356C2×Q8C23×D711yescharacteristic
1357C2×Q8C23×D711yescharacteristic
1358C2×D4—22no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—41no—
1363C2×D4—71no—
1364C2×D4—71no—
1365C2×D4—71no—
1366C2×D4—71no—
1367C2×D4—142no—
1368C2×D4—141no—
1369C2×D4—141no—
1370C2×D4—141no—
1371C2×D4—141no—
1372C2×D4—141no—
1373C2×D4—141no—
1374C2×D4—141no—
1375C2×D4—281no—
1376C2×D4D4×D711yescharacteristic
1377C2×D4C23×D711yescharacteristic
1378C2×D4C23×D711yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—71no—
1384C22×C4—71no—
1385C22×C4—71no—
1386C22×C4—141no—
1387C22×C4—141no—
1388C22×C4—141no—
1389C22×C4—141no—
1390C22×C4—141no—
1391C22×C4—141no—
1392C22×C4—141no—
1393C22×C4—141no—
1394C22×C4—141no—
1395C22×C4—141no—
1396C22×C4—141no—
1397C22×C4—141no—
1398C22×C4—141no—
1399C22×C4—141no—
1400C22×C4—141no—
1401C22×C4—141no—
1402C22×C4—141no—
1403C22×C4—141no—
1404C22×C4—562no—
1405C22×C4—562no—
1406C22×C4C23×D711yescharacteristic
1407C22×C4C23×D711yescharacteristic
1408Q16—41no—
1409Q16—142no—
1410Q16—142no—
1411Q16—281no—
1412SD16—22no—
1413SD16—41no—
1414SD16—142no—
1415SD16—142no—
1416SD16—142no—
1417SD16—281no—
1418SD16—281no—
1419SD16—281no—
1420D8—74no—
1421D8—142no—
1422D8—142no—
1423D8—142no—
1424M16—41no—
1425M16—281no—
1426C2×C8—41no—
1427C2×C8—71no—
1428C2×C8—71no—
1429C2×C8—71no—
1430C2×C8—71no—
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—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—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⋊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—71no—
1496C22⋊C4—71no—
1497C22⋊C4—71no—
1498C22⋊C4—71no—
1499C22⋊C4—71no—
1500C22⋊C4—71no—
1501C22⋊C4—71no—
1502C22⋊C4—71no—
1503C22⋊C4—141no—
1504C22⋊C4—141no—
1505C22⋊C4—141no—
1506C22⋊C4—141no—
1507C22⋊C4—141no—
1508C22⋊C4—141no—
1509C22⋊C4—141no—
1510C22⋊C4—141no—
1511C22⋊C4—141no—
1512C22⋊C4—141no—
1513C22⋊C4—141no—
1514C22⋊C4—141no—
1515C22⋊C4—141no—
1516C22⋊C4—141no—
1517C22⋊C4—141no—
1518C22⋊C4—141no—
1519C22⋊C4—141no—
1520C22⋊C4—141no—
1521C22⋊C4—141no—
1522C22⋊C4—141no—
1523C22⋊C4—141no—
1524C22⋊C4—141no—
1525C22⋊C4—141no—
1526C22⋊C4—141no—
1527C22⋊C4—141no—
1528C22⋊C4D4×D711yescharacteristic
1529C22⋊C4D4×D711yescharacteristic
1530C42—21no—
1531C42—71no—
1532C42—71no—
1533C42—71no—
1534C42—71no—
1535C42—71no—
1536C42—141no—
1537C42—141no—
1538C42—141no—
1539C42—141no—
1540C42—141no—
1541C42—141no—
1542C42—141no—
1543C42C23×D711yescharacteristic
1544C2×C7—22no—
1545C2×C7—41no—
1546C2×C7—42no—
1547C2×C7—81no—
1548C2×C7D4×#4111yescharacteristic
1549C2×C7C2×#57611yescharacteristic
1550C2×C7C2×#57811yescharacteristic
1551D7—41no—
1552D7—42no—
1553D7—81no—
1554C23—21no—
1555C23—21no—
1556C23—42no—
1557C23—42no—
1558C23—71no—
1559C23—81no—
1560C23—141no—
1561C23—141no—
1562C23—282no—
1563C23—282no—
1564C23—561no—
1565C23C2×D4×D711yescharacteristic
1566C23C2×D4×D711yescharacteristic
1567Q8—21no—
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—81no—
1572Q8—142no—
1573Q8—141no—
1574Q8—141no—
1575Q8—141no—
1576Q8—141no—
1577Q8—282no—
1578Q8—282no—
1579Q8—561no—
1580Q8—561no—
1581Q8—561no—
1582D4—22no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—42no—
1587D4—42no—
1588D4—72no—
1589D4—81no—
1590D4—142no—
1591D4—142no—
1592D4—141no—
1593D4—141no—
1594D4—141no—
1595D4—282no—
1596D4—282no—
1597D4—282no—
1598D4—282no—
1599D4—561no—
1600D4—561no—
1601D4—561no—
1602D4D7×#4112yes—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—42no—
1614C2×C4—71no—
1615C2×C4—71no—
1616C2×C4—71no—
1617C2×C4—71no—
1618C2×C4—71no—
1619C2×C4—71no—
1620C2×C4—71no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—142no—
1625C2×C4—142no—
1626C2×C4—141no—
1627C2×C4—141no—
1628C2×C4—141no—
1629C2×C4—141no—
1630C2×C4—141no—
1631C2×C4—141no—
1632C2×C4—141no—
1633C2×C4—141no—
1634C2×C4—282no—
1635C2×C4—282no—
1636C2×C4—282no—
1637C2×C4—282no—
1638C2×C4—282no—
1639C2×C4—282no—
1640C2×C4—282no—
1641C2×C4—561no—
1642C2×C4—561no—
1643C2×C4—561no—
1644C2×C4—561no—
1645C2×C4—561no—
1646C2×C4—561no—
1647C2×C4—561no—
1648C2×C4—561no—
1649C2×C4—561no—
1650C2×C4—561no—
1651C2×C4—561no—
1652C2×C4C2×D4×D711yescharacteristic
1653C2×C4C2×D4×D711yescharacteristic
1654C2×C4C2×D4×D711yescharacteristic
1655C2×C4C2×D4×D711yescharacteristic
1656C2×C4C24×D711yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—72no—
1662C8—141no—
1663C8—141no—
1664C8—141no—
1665C7#6148211yescharacteristic, complemented, Sylow
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—84no—
1678C22—141no—
1679C22—141no—
1680C22—141no—
1681C22—142no—
1682C22—281no—
1683C22—281no—
1684C22—281no—
1685C22—281no—
1686C22—281no—
1687C22—564no—
1688C22#9047012yes—
1689C22C22×D4×D711yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—72no—
1701C4—141no—
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
1714C4#9061811yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—42no—
1718C2—81no—
1719C2—281no—
1720C2—282no—
1721C2—561no—
1722C2#1174369411yescharacteristic
1723C2C2×#9047011yescharacteristic
1724C2D7×#57611yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3314C2
socleC22×C7C23×D4
hypercenter#3314D7
hypocenterC7#61482
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #11744002C2semidirect
2. #11743709C2semidirect
3. C7×#3314C2semidirect
4. #11741068C2semidirect
5. #11740950C2semidirect
6. #11739115C2semidirect
7. #11739112C2semidirect
8. #11738921C2semidirect
9. #11738899C2semidirect
10. #11738736C2semidirect
11. #11738718C2semidirect
12. #11738402C2semidirect
13. #11738398C2semidirect
14. #11738287C2semidirect
15. #11738232C2semidirect
16. #11738222C2semidirect
17. #11738186C2semidirect
18. #11738033C2semidirect
19. #11738019C2semidirect
20. #11737714C2semidirect
21. #11737663C2semidirect
22. #11737613C2semidirect
23. #11737579C2semidirect
24. #11737223C2semidirect
25. #11737196C2semidirect
26. #11736948C2semidirect
27. #11736899C2semidirect
28. #11736351C2semidirect
29. #11736313C2semidirect
30. #11736208C2semidirect
31. C2×#89528C2semidirect
34. #90518C22semidirect
35. #90515C22semidirect
41. #90424C22semidirect
42. #90418C22semidirect
45. #90373C22semidirect
46. #90362C22semidirect
49. #90334C22semidirect
54. #90322C22semidirect
59. #90302C22semidirect
60. #90294C22semidirect
65. #90265C22semidirect
66. #90259C22semidirect
70. #90237C22semidirect
73. D4×Dic14C22semidirect
75. #90198C22semidirect
76. #90195C22semidirect
80. C7×#489C22semidirect
82. C7×#480C22semidirect
83. C7×#474C22semidirect
84. C7×#468C22semidirect
86. C7×#464C22semidirect
87. C7×#452C22semidirect
89. C7×#440C22semidirect
91. C7×#417C22semidirect
95. #89959C22semidirect
96. #89957C22semidirect
97. Q16×Dic7C22semidirect
98. #89953C22semidirect
102. #89936C22semidirect
103. #89936C22semidirect
104. #89934C22semidirect
105. #89934C22semidirect
106. #89906C22semidirect
107. #89905C22semidirect
108. #89900C22semidirect
109. #89894C22semidirect
114. #89863C22semidirect
115. #89850C22semidirect
120. #89823C22semidirect
123. #89816C22semidirect
126. C4×#1144C22semidirect
127. #89793C22semidirect
132. #89742C22semidirect
134. C2×#6381C22semidirect
135. #89662C22semidirect
136. #89662C22semidirect
137. #89662C22semidirect
138. #89661C22semidirect
139. #89661C22semidirect
140. #89656C22semidirect
141. #89654C22semidirect
142. D7×#107C22semidirect
143. #89647C22semidirect
144. #89646C22semidirect
145. #89646C22semidirect
146. #89645C22semidirect
147. #89618C22semidirect
148. #89617C22semidirect
149. #89612C22semidirect
150. #89602C22semidirect
151. #89590C22semidirect
152. #89590C22semidirect
153. #89589C22semidirect
154. #89589C22semidirect
155. #89589C22semidirect
156. #89585C22semidirect
157. #89584C22semidirect
158. #89581C22semidirect
159. #89575C22semidirect
160. #89567C22semidirect
161. #89566C22semidirect
162. #89564C22semidirect
163. #89564C22semidirect
164. #89562C22semidirect
165. #89562C22semidirect
166. #89562C22semidirect
168. #89555C22semidirect
170. #89552C22semidirect
172. #89546C22semidirect
173. #89543C22semidirect
174. #89539C22semidirect
175. #89537C22semidirect
176. #89531C22semidirect
177. #89531C22semidirect
178. #89531C22semidirect
179. #89529C22semidirect
180. #89529C22semidirect
181. #89529C22semidirect
191. #89508C22semidirect
192. #89505C22semidirect
195. (C22⋊D7)⋊C8C22semidirect
197. #89492C22semidirect
199. #89486C22semidirect
200. #89482C22semidirect
201. #89480C22semidirect
202. #89473C22semidirect
496. #3314D7semidirect
644. #1141#41semidirect
781. #489C2×D7semidirect
795. #480C2×D7semidirect
807. #474C2×D7semidirect
811. #468C2×D7semidirect
823. #464C2×D7semidirect
835. #452C2×D7semidirect
857. #440C2×D7semidirect
889. #417C2×D7semidirect
1665. C7#61482semidirect

Maximal subgroups

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

subgroupindex
#117440022
#117437092
C7×#33142
#117410682
#117409502
#117391152
#117391122
#117389212
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