Finite Group Databasebeta

← #14236550

Subgroups — #14236550

Order 1792.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11743749C211yesmaximal, characteristic, complemented
2#11743677C211yesmaximal, characteristic, complemented
3C7×#3294C211yesmaximal, characteristic, complemented
4#11740963C211yesmaximal, characteristic, complemented
5#11740933C211yesmaximal, characteristic, complemented
6#11739030C211yesmaximal, characteristic, complemented
7#11739003C211yesmaximal, characteristic, complemented
8#11738742C211yesmaximal, characteristic, complemented
9#11738738C211yesmaximal, characteristic, complemented
10#11738718C211yesmaximal, characteristic, complemented
11#11738716C211yesmaximal, characteristic, complemented
12#11738407C211yesmaximal, characteristic, complemented
13#11738398C211yesmaximal, characteristic, complemented
14#11738176C211yesmaximal, characteristic, complemented
15#11738170C211yesmaximal, characteristic, complemented
16#11738145C211yesmaximal, characteristic, complemented
17#11738141C211yesmaximal, characteristic, complemented
18#11737774C211yesmaximal, characteristic, complemented
19#11737762C211yesmaximal, characteristic, complemented
20#11737468C211yesmaximal, characteristic, complemented
21#11737467C211yesmaximal, characteristic, complemented
22#11737438C211yesmaximal, characteristic, complemented
23#11737436C211yesmaximal, characteristic, complemented
24#11737032C211yesmaximal, characteristic, complemented
25#11737014C211yesmaximal, characteristic, complemented
26#11736885C211yesmaximal, characteristic, complemented
27#11736845C211yesmaximal, characteristic, complemented
28#11736205C211yesmaximal, characteristic, complemented
29#11736204C211yesmaximal, characteristic, complemented
30#11736171C211yesmaximal, characteristic, complemented
31C2×#89528C211yesmaximal, characteristic, complemented
32C7×#547C2211yescharacteristic
33C7×D42C2211yescharacteristic, complemented
34#90520—21no—
35#90519—21no—
36#90497—21no—
37#90497C2211yescharacteristic
38#90497C2211yescharacteristic, complemented
39#90489C2211yescharacteristic, complemented
40C2×#6498—21no—
41C2×D4×Dic7C2211yescharacteristic, complemented
42C2×#6495C2211yescharacteristic
43C22×#1141C2211yescharacteristic
44C2×#6474C2211yescharacteristic
45#90424C2211yescharacteristic, complemented
46#90421C2211yescharacteristic, complemented
47#90410C2211yescharacteristic, complemented
48#90404C2211yescharacteristic, complemented
49#90352—21no—
50#90349—21no—
51#90348—21no—
52D7×#123—21no—
53#90329—21no—
54#90328—21no—
55#90310C2211yescharacteristic, complemented
56#90305C2211yescharacteristic, complemented
57#90303C2211yescharacteristic, complemented
58#90302C2211yescharacteristic
59#90300C2211yescharacteristic, complemented
60#90294C2211yescharacteristic, complemented
61#90293—21no—
62#90292—21no—
63#90291C2211yescharacteristic, complemented
64#90291C2211yescharacteristic, complemented
65#90284—21no—
66#90278—21no—
67#90278—21no—
68#90277—21no—
69#90250C2211yescharacteristic, complemented
70#90241C2211yescharacteristic
71#90237C2211yescharacteristic, complemented
72#90236C2211yescharacteristic, complemented
73#90232C2211yescharacteristic, complemented
74#90230C2211yescharacteristic, complemented
75#90229C2211yescharacteristic
76#90205C2211yescharacteristic, complemented
77#90204C2211yescharacteristic, complemented
78#90195C2211yescharacteristic, complemented
79C2×#6456C2211yescharacteristic, complemented
80C7×#486C2211yescharacteristic, complemented
81C7×#480C2211yescharacteristic, complemented
82C7×#480C2211yescharacteristic, complemented
83C7×#474C2211yescharacteristic, complemented
84C7×#466C2211yescharacteristic
85C7×#466C2211yescharacteristic, complemented
86C7×#459C2211yescharacteristic, complemented
87C7×#447C2211yescharacteristic
88C7×#447C2211yescharacteristic, complemented
89C4×C7×D8C2211yescharacteristic, complemented
90C7×C8×D4C2211yescharacteristic, complemented
91C2×C7×#102C2211yescharacteristic, complemented
92C2×C7×#102C2211yescharacteristic, complemented
93#89990C2211yescharacteristic, complemented
94#89989C2211yescharacteristic, complemented
95#89928C2211yescharacteristic, complemented
96#89928C2211yescharacteristic, complemented
97#89927C2211yescharacteristic, complemented
98#89926C2211yescharacteristic, complemented
99#89925C2211yescharacteristic, complemented
100#89925C2211yescharacteristic, complemented
101#89924C2211yescharacteristic, complemented
102#89924C2211yescharacteristic, complemented
103#89922C2211yescharacteristic
104#89922C2211yescharacteristic, complemented
105D8×Dic7C2211yescharacteristic, complemented
106#89888C2211yescharacteristic, complemented
107#89886C2211yescharacteristic, complemented
108#89885C2211yescharacteristic, complemented
109C2×#6395C2211yescharacteristic, complemented
110C8×C22⋊D7C2211yescharacteristic, complemented
111C8×C22⋊D7C2211yescharacteristic, complemented
112#89873C2211yescharacteristic, complemented
113C2×C8×Dic7C2211yescharacteristic, complemented
114#89863C2211yescharacteristic, complemented
115#89852C2211yescharacteristic, complemented
116#89846C2211yescharacteristic, complemented
117#89844C2211yescharacteristic
118#89814C2211yescharacteristic, complemented
119#89813C2211yescharacteristic, complemented
120#89813C2211yescharacteristic, complemented
121#89811C2211yescharacteristic, complemented
122#89809C2211yescharacteristic
123#89808C2211yescharacteristic
124#89807C2211yescharacteristic, complemented
125#89805C2211yescharacteristic, complemented
126#89790C2211yescharacteristic, complemented
127#89788C2211yescharacteristic, complemented
128#89786C2211yescharacteristic
129#89783C2211yescharacteristic, complemented
130#89781C2211yescharacteristic, complemented
131#89743C2211yescharacteristic, complemented
132#89742C2211yescharacteristic, complemented
133#89736C2211yescharacteristic, complemented
134C2×#6381C2211yescharacteristic, complemented
135#89663C2211yescharacteristic, complemented
136#89663C2211yescharacteristic, complemented
137#89662C2211yescharacteristic, complemented
138#89661C2211yescharacteristic, complemented
139#89661C2211yescharacteristic, complemented
140#89656C2211yescharacteristic, complemented
141#89654C2211yescharacteristic, complemented
142#89653C2211yescharacteristic, complemented
143#89650C2211yescharacteristic, complemented
144#89648C2211yescharacteristic, complemented
145#89647C2211yescharacteristic, complemented
146#89645C2211yescharacteristic, complemented
147#89619C2211yescharacteristic, complemented
148#89617C2211yescharacteristic, complemented
149#89612C2211yescharacteristic, complemented
150#89600C2211yescharacteristic, complemented
151#89559C2211yescharacteristic, complemented
152#89559C2211yescharacteristic, complemented
153#89559C2211yescharacteristic, complemented
154#89557C2211yescharacteristic
155#89557C2211yescharacteristic, complemented
156#89557C2211yescharacteristic, complemented
157#89556C2211yescharacteristic, complemented
158#89555C2211yescharacteristic, complemented
159#89554C2211yescharacteristic, complemented
160#89553C2211yescharacteristic
161#89552C2211yescharacteristic, complemented
162#89551C2211yescharacteristic, complemented
163#89550C2211yescharacteristic, complemented
164#89547C2211yescharacteristic, complemented
165#89544C2211yescharacteristic, complemented
166D7×#102C2211yescharacteristic, complemented
167#89540C2211yescharacteristic, complemented
168#89540C2211yescharacteristic, complemented
169#89540C2211yescharacteristic, complemented
170#89539C2211yescharacteristic, complemented
171#89538C2211yescharacteristic, complemented
172#89535C2211yescharacteristic, complemented
173#89535C2211yescharacteristic, complemented
174#89535C2211yescharacteristic, complemented
175#89532C2211yescharacteristic, complemented
176#89530C2211yescharacteristic, complemented
177#89530C2211yescharacteristic, complemented
178#89530C2211yescharacteristic, complemented
179#89529C2211yescharacteristic, complemented
180#89529C2211yescharacteristic, complemented
181#89529C2211yescharacteristic, complemented
182#89528C2211yescharacteristic
183#89528C2211yescharacteristic
184#89528C2211yescharacteristic, complemented
185#89528C2211yescharacteristic, complemented
186#89528C2211yescharacteristic, complemented
187#89528C2211yescharacteristic, complemented
188#89528C2211yescharacteristic, complemented
189#89528C2211yescharacteristic, complemented
190#89528C2211yescharacteristic, complemented
191#89509C2211yescharacteristic, complemented
192#89505C2211yescharacteristic, complemented
193#89503C2211yescharacteristic, complemented
194#89502C2211yescharacteristic, complemented
195#89501C2211yescharacteristic, complemented
196#89493C2211yescharacteristic, complemented
197#89492C2211yescharacteristic, complemented
198#89491C2211yescharacteristic, complemented
199#89469C2211yescharacteristic, complemented
200C4×#1132C2211yescharacteristic, complemented
201#89461C2211yescharacteristic, complemented
202C8×Dic14C2211yescharacteristic, complemented
203#61489—71nomaximal, Sylow
204C2×C7×#41—21no—
205C22×C7×D4—21no—
206C22×C7×D4C2311yescharacteristic
207C22×C7×D4C2311yescharacteristic
208C23×Dic7—21no—
209C2×#1159—21no—
210C2×#1159C2311yescharacteristic
211C2×D4×D7—21no—
212C2×D4×D7C2311yescharacteristic
213C2×#1157C2311yescharacteristic
214C22×D28C2311yescharacteristic
215C22×C4×D7—21no—
216C2×C7×D8C2311yescharacteristic
217C2×C7×D8C2311yescharacteristic
218C2×C7×D8C2311yescharacteristic
219C22×C7×C8C2311yescharacteristic
220C22×C7×C8C2311yescharacteristic
221C7×C4⋊Q8C2311yescharacteristic
222C7×#127C2311yescharacteristic
223C7×#123—21no—
224C7×#123—21no—
225C7×C22⋊Q8—21no—
226C7×#121—21no—
227C7×#121C2311yescharacteristic
228C7×#121C2311yescharacteristic
229C7×#121C2311yescharacteristic
230C7×#121C2311yescharacteristic
231C7×#120—21no—
232C7×#120—21no—
233C4×C7×D4C2311yescharacteristic
234C4×C7×D4C2311yescharacteristic
235C4×C7×D4C2311yescharacteristic
236C2×C7×C4⋊C4C2311yescharacteristic
237C2×C7×C4⋊C4C2311yescharacteristic
238#6516—21no—
239#6516—21no—
240C2×C22⋊Dic7—21no—
241C2×C22⋊Dic7—21no—
242C2×C22⋊Dic7—21no—
243C2×C22⋊Dic7—21no—
244C2×C22⋊Dic7—21no—
245#6510—21no—
246#6509—21no—
247#6509—21no—
248#6509—21no—
249#6503C2311yescharacteristic
250#6502—21no—
251#6502—21no—
252#6502—21no—
253#6502—21no—
254#6502—21no—
255#6502D411yescharacteristic
256#6501—21no—
257#6501—21no—
258#6501—21no—
259#6501C2311yescharacteristic
260#6501C2311yescharacteristic
261#6500—21no—
262#6500—21no—
263#6500—21no—
264#6499—21no—
265#6499—21no—
266#6499C2311yescharacteristic
267#6499C2311yescharacteristic
268#6499C2311yescharacteristic
269#6498—21no—
270#6498—21no—
271#6498—21no—
272#6498—21no—
273#6498—21no—
274#6498—21no—
275#6498—21no—
276#6498—21no—
277#6498—21no—
278#6498—21no—
279#6498—21no—
280#6498—21no—
281#6498D411yescharacteristic
282D4×Dic7—21no—
283D4×Dic7—21no—
284D4×Dic7—21no—
285D4×Dic7—21no—
286D4×Dic7—21no—
287D4×Dic7—21no—
288D4×Dic7—21no—
289D4×Dic7C2311yescharacteristic
290D4×Dic7C2311yescharacteristic
291D4×Dic7C2311yescharacteristic
292D4×Dic7C2311yescharacteristic
293D4×Dic7C2311yescharacteristic
294D4×Dic7C2311yescharacteristic
295D4×Dic7C2311yescharacteristic
296D4×Dic7C2311yescharacteristic
297C2×#1142C2311yescharacteristic
298C2×#1142C2311yescharacteristic
299C2×#1142C2311yescharacteristic
300C2×#1142C2311yescharacteristic
301#6495—24no—
302C2×#1141—24no—
303C2×#1141C2311yescharacteristic
304C2×#1141C2311yescharacteristic
305C2×#1141C2311yescharacteristic
306C2×#1141C2311yescharacteristic
307C2×#1141C2311yescharacteristic
308C2×#1141C2311yescharacteristic
309#6493—21no—
310#6493C2311yescharacteristic
311#6492—21no—
312#6492—21no—
313C4×C22⋊D7—21no—
314C4×C22⋊D7—21no—
315C4×C22⋊D7—21no—
316C4×C22⋊D7—21no—
317C4×C22⋊D7—21no—
318C4×C22⋊D7—21no—
319C4×C22⋊D7C2311yescharacteristic
320C4×C22⋊D7C2311yescharacteristic
321C2×(C2×D7)⋊C4—21no—
322C2×(C2×D7)⋊C4—21no—
323#6489—21no—
324#6489C2311yescharacteristic
325#6489C2311yescharacteristic
326C2×C4⋊Dic7C2311yescharacteristic
327#6487—21no—
328#6487C2311yescharacteristic
329#6487C2311yescharacteristic
330#6487C2311yescharacteristic
331C2×Dic7⋊C4—21no—
332C2×Dic7⋊C4—21no—
333C2×C4×Dic7C2311yescharacteristic
334C2×#1136C2311yescharacteristic
335C22×C7⋊C8C2311yescharacteristic
336#6474—24no—
337C2×Dic28C2311yescharacteristic
338C2×#1132C2311yescharacteristic
339C2×#1132C2311yescharacteristic
340C2×#1131C2311yescharacteristic
341C2×C8×D7C2311yescharacteristic
342#6461—21no—
343#6461—21no—
344#6461—21no—
345#6461D411yescharacteristic
346#6460—21no—
347#6460C2311yescharacteristic
348#6458C2311yescharacteristic
349#6457—21no—
350#6457—21no—
351#6457—21no—
352#6456—21no—
353#6456—21no—
354#6456C2311yescharacteristic
355#6456C2311yescharacteristic
356#6456C2311yescharacteristic
357#6456C2311yescharacteristic
358#6456C2311yescharacteristic
359#6455—21no—
360#6455C2311yescharacteristic
361D7×C4⋊C4—21no—
362D7×C4⋊C4—21no—
363D7×C4⋊C4C2311yescharacteristic
364#6453C2311yescharacteristic
365#6453C2311yescharacteristic
366#6453C2311yescharacteristic
367#6452—21no—
368#6452—21no—
369#6452D411yescharacteristic
370#6451C2311yescharacteristic
371#6450C2311yescharacteristic
372#6450C2311yescharacteristic
373#6450C2311yescharacteristic
374#6449—21no—
375#6449D411yescharacteristic
376#6448—21no—
377#6448D411yescharacteristic
378#6447—21no—
379#6447—21no—
380#6446—21no—
381#6446—21no—
382#6446—21no—
383#6446—21no—
384#6445—21no—
385(C22⋊D7)⋊C4—21no—
386(C22⋊D7)⋊C4—21no—
387(C22⋊D7)⋊C4—21no—
388D7×C22⋊C4—21no—
389D7×C22⋊C4—21no—
390D7×C22⋊C4—21no—
391#6442—21no—
392#6442—21no—
393#6442—21no—
394#6442—21no—
395#6442—21no—
396#6442D411yescharacteristic
397#6441—21no—
398#6441—21no—
399#6441—21no—
400#6441—21no—
401#6441D411yescharacteristic
402#6440—21no—
403#6440—21no—
404#6440—21no—
405#6440—21no—
406#6438C2311yescharacteristic
407C4×D28C2311yescharacteristic
408#6435C2311yescharacteristic
409#6433C2311yescharacteristic
410C4×Dic14C2311yescharacteristic
411C4×Dic14C2311yescharacteristic
412C7×#107C2311yescharacteristic
413C7×#107C2311yescharacteristic
414C7×#107C2311yescharacteristic
415C7×C4⋊C8C2311yescharacteristic
416C7×#102C2311yescharacteristic
417C7×#102C2311yescharacteristic
418C7×#102C2311yescharacteristic
419C7×#102C2311yescharacteristic
420C7×#102C2311yescharacteristic
421C7×#102C2311yescharacteristic
422C7×#102C2311yescharacteristic
423C7×#102C2311yescharacteristic
424C7×#102C2311yescharacteristic
425C7×#102C2311yescharacteristic
426C7×C22⋊C8C2311yescharacteristic
427C7×C22⋊C8C2311yescharacteristic
428C4×C7×C8C2311yescharacteristic
429#6406C2311yescharacteristic
430#6406C2311yescharacteristic
431#6406C2311yescharacteristic
432#6406C2311yescharacteristic
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#6391C2311yescharacteristic
447#6391C2311yescharacteristic
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#6382C2311yescharacteristic
471#6382C2311yescharacteristic
472#6382C2311yescharacteristic
473#6382C2311yescharacteristic
474#6381C2311yescharacteristic
475#6381C2311yescharacteristic
476#6381C2311yescharacteristic
477#6381C2311yescharacteristic
478#6381C2311yescharacteristic
479#6381C2311yescharacteristic
480C4⋊(C7⋊C8)C2311yescharacteristic
481#6377C2311yescharacteristic
482#3513—71no—
483#3513—71no—
484#3403—71no—
485#3389—71no—
486#3361—71no—
487#3361—71no—
488#3355—71no—
489#3343—71no—
490#3343—71no—
491#3297—71no—
492#3297—71no—
493#3296—71no—
494#3296—71no—
495#3294—71no—
496#3294D711yescharacteristic, complemented
497#3273—71no—
498#3264—71no—
499#3264—71no—
500#3179—71no—
501#3179—71no—
502#3168—71no—
503#3124—71no—
504#3124—71no—
505#3122—71no—
506#3122—71no—
507#3114—71no—
508#3114—71no—
509#2966—71no—
510#2946—71no—
511#2946—71no—
512C2×C4×D8—71no—
513C24×C7—21no—
514C24×C7—21no—
515C23×D7—21no—
516C23×D7—21no—
517C7×#41—82no—
518C2×C7×Q8—21no—
519C2×C7×D4—22no—
520C2×C7×D4—22no—
521C2×C7×D4—21no—
522C2×C7×D4—21no—
523C2×C7×D4—21no—
524C2×C7×D4—21no—
525C2×C7×D4—21no—
526C2×C7×D4—21no—
527C2×C7×D4—21no—
528C2×C7×D4—21no—
529C2×C7×D4—41no—
530C2×C7×D4—41no—
531C2×C7×D4—82no—
532C2×C7×D4C2×D411yescharacteristic
533C2×C7×D4C2411yescharacteristic
534C2×C7×D4C2411yescharacteristic
535C2×C7×D4C2411yescharacteristic
536C2×C7×D4C2411yescharacteristic
537C22×C4×C7—21no—
538C22×C4×C7—21no—
539C22×C4×C7—21no—
540C22×C4×C7—21no—
541C22×C4×C7C2411yescharacteristic
542C22×C4×C7C2411yescharacteristic
543C2×C22⋊D7—21no—
544C2×C22⋊D7—21no—
545C2×C22⋊D7—21no—
546C2×C22⋊D7—21no—
547C2×C22⋊D7—21no—
548C2×C22⋊D7—21no—
549C2×C22⋊D7—21no—
550C2×C22⋊D7—21no—
551C2×C22⋊D7C2×D411yescharacteristic
552C2×C22⋊D7C2×D411yescharacteristic
553C22×Dic7—21no—
554C22×Dic7—21no—
555C22×Dic7—21no—
556C22×Dic7—21no—
557C22×Dic7—21no—
558C22×Dic7—21no—
559C22×Dic7—21no—
560C22×Dic7—21no—
561C22×Dic7—21no—
562C22×Dic7—21no—
563C22×Dic7—82no—
564C22×Dic7C2×D411yescharacteristic
565C22×Dic7C2×D411yescharacteristic
566#1159—22no—
567#1159—41no—
568#1159—82no—
569D4×D7—22no—
570D4×D7—41no—
571D4×D7—82no—
572#1157—22no—
573#1157—41no—
574C2×D28—22no—
575C2×D28—21no—
576C2×D28—21no—
577C2×D28—41no—
578C2×D28C2411yescharacteristic
579C2×D28C2411yescharacteristic
580C2×C4×D7—21no—
581C2×C4×D7—21no—
582C2×C4×D7—21no—
583C2×C4×D7—21no—
584C2×C4×D7—21no—
585C2×C4×D7—21no—
586C2×C4×D7—21no—
587C2×C4×D7—21no—
588C2×C4×D7—82no—
589C2×C4×D7C2411yescharacteristic
590C2×Dic14—21no—
591C2×Dic14C2×D411yescharacteristic
592C2×Dic14C2411yescharacteristic
593C2×Dic14C2411yescharacteristic
594C7×D8—22no—
595C7×D8—41no—
596C7×D8—41no—
597C2×C7×C8—41no—
598C2×C7×C8—41no—
599C2×C7×C8C2411yescharacteristic
600C2×C7×C8C2411yescharacteristic
601C2×C7×C8C2411yescharacteristic
602C2×C7×C8C2411yescharacteristic
603C7×C4⋊C4—21no—
604C7×C4⋊C4—21no—
605C7×C4⋊C4—21no—
606C7×C4⋊C4C2×D411yescharacteristic
607C7×C4⋊C4C2411yescharacteristic
608C7×C4⋊C4C2411yescharacteristic
609C7×C4⋊C4C2411yescharacteristic
610C7×C4⋊C4C2411yescharacteristic
611C7×C22⋊C4—21no—
612C7×C22⋊C4—21no—
613C7×C22⋊C4—21no—
614C7×C22⋊C4—21no—
615C7×C22⋊C4—21no—
616C7×C22⋊C4—21no—
617C7×C22⋊C4C2×D411yescharacteristic
618C7×C22⋊C4C2×D411yescharacteristic
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⋊Dic7—21no—
632C22⋊Dic7—21no—
633C22⋊Dic7—21no—
634C22⋊Dic7—21no—
635C22⋊Dic7—21no—
636C22⋊Dic7—21no—
637C22⋊Dic7—21no—
638C22⋊Dic7—21no—
639C22⋊Dic7—21no—
640C22⋊Dic7C2×D411yescharacteristic
641C22⋊Dic7C2×D411yescharacteristic
642C22⋊Dic7C2×D411yescharacteristic
643C22⋊Dic7C2×D411yescharacteristic
644#1142—22no—
645#1142—22no—
646#1142—22no—
647#1142—41no—
648#1141—22no—
649#1141—22no—
650#1141—22no—
651#1141—22no—
652#1141—41no—
653#1141#4114yescomplemented
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)⋊C4—21no—
660(C2×D7)⋊C4—21no—
661(C2×D7)⋊C4—21no—
662(C2×D7)⋊C4—21no—
663(C2×D7)⋊C4—21no—
664(C2×D7)⋊C4—21no—
665(C2×D7)⋊C4—21no—
666(C2×D7)⋊C4C2×D411yescharacteristic
667(C2×D7)⋊C4C2×D411yescharacteristic
668(C2×D7)⋊C4C2×D411yescharacteristic
669(C2×D7)⋊C4C2×D411yescharacteristic
670C4⋊Dic7—21no—
671C4⋊Dic7—21no—
672C4⋊Dic7—21no—
673C4⋊Dic7—21no—
674C4⋊Dic7—21no—
675C4⋊Dic7C2×D411yescharacteristic
676C4⋊Dic7C2×D411yescharacteristic
677C4⋊Dic7C2×D411yescharacteristic
678C4⋊Dic7C2411yescharacteristic
679C4⋊Dic7C2411yescharacteristic
680C4⋊Dic7C2411yescharacteristic
681C4⋊Dic7C2411yescharacteristic
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⋊C4—21no—
696Dic7⋊C4C2×D411yescharacteristic
697Dic7⋊C4C2×D411yescharacteristic
698Dic7⋊C4C2×D411yescharacteristic
699Dic7⋊C4C2×D411yescharacteristic
700Dic7⋊C4C2×D411yescharacteristic
701Dic7⋊C4C2×D411yescharacteristic
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
713#1136—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—22no—
723C8×D7—41no—
724C2×AGL(1,ℤ/8)—71no—
725C2×AGL(1,ℤ/8)—71no—
726C22×D8—71no—
727#559—71no—
728#559—71no—
729#554—71no—
730#554—71no—
731#553—71no—
732#553—71no—
733#553—141no—
734#553—141no—
735#552—71no—
736#552—71no—
737#551—141no—
738#551—141no—
739#551—141no—
740#551—141no—
741#547—71no—
742#547C2×D711yescharacteristic
743#546—71no—
744#546—71no—
745#546—71no—
746#546—71no—
747#546—141no—
748#546—141no—
749D42—71no—
750D42C2×D711yescharacteristic, complemented
751#542—71no—
752#542—71no—
753#540—71no—
754#540—71no—
755#539—141no—
756#539—141no—
757#538—141no—
758#538—141no—
759#529—71no—
760#529—71no—
761#529—71no—
762#525—141no—
763#525—141no—
764C2×#123—141no—
765C2×#123—141no—
766#520—71no—
767#520—71no—
768#518—71no—
769#518—71no—
770C2×C4×D4—71no—
771C2×C4×D4—71no—
772#501—71no—
773#501—71no—
774#499—71no—
775#496—71no—
776#496—71no—
777#495—71no—
778#488—71no—
779#488—71no—
780#488—71no—
781#488—71no—
782#486—71no—
783#486C2×D711yescharacteristic, complemented
784#484—71no—
785#484—71no—
786#483—71no—
787#483—71no—
788#482—71no—
789#482—71no—
790#482—71no—
791#482—71no—
792#480—71no—
793#480—71no—
794#480C2×D711yescharacteristic, complemented
795#480C2×D711yescharacteristic, complemented
796#478—71no—
797#478—71no—
798#478—71no—
799#478—71no—
800#478—71no—
801#478—71no—
802#478—71no—
803#478—71no—
804#477—71no—
805#477—71no—
806#474—71no—
807#474C2×D711yescharacteristic, complemented
808#469—71no—
809#469—71no—
810#468—71no—
811#468—71no—
812#467—71no—
813#466—71no—
814#466C2×D711yescharacteristic
815#466C2×D711yescharacteristic, complemented
816#465—71no—
817#465—71no—
818#465—71no—
819#465—71no—
820#464—71no—
821#464—71no—
822#463—71no—
823#463—71no—
824#463—71no—
825#463—71no—
826#463—71no—
827#463—71no—
828#459—71no—
829#459—71no—
830#459—71no—
831#459C2×D711yescharacteristic, complemented
832#452—71no—
833#452—71no—
834#450—71no—
835#450—71no—
836#449—71no—
837#449—71no—
838#447—71no—
839#447—71no—
840#447—71no—
841#447—71no—
842#447C2×D711yescharacteristic
843#447C2×D711yescharacteristic, complemented
844#446—71no—
845C8×Q8—71no—
846#442—71no—
847#442—71no—
848#442—71no—
849#442—71no—
850#442—71no—
851#442—71no—
852#440—71no—
853#440—71no—
854#440—71no—
855#440—71no—
856#440—71no—
857#440—71no—
858C4×Q16—71no—
859C4×SD16—71no—
860C4×SD16—71no—
861C4×SD16—71no—
862C4×SD16—71no—
863C4×D8—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×D8C2×D711yescharacteristic, complemented
874#436—71no—
875#435—71no—
876#435—71no—
877C8×D4—71no—
878C8×D4—71no—
879C8×D4C2×D711yescharacteristic, complemented
880#433—71no—
881#433—71no—
882#432—71no—
883#428—71no—
884#428—71no—
885C2×#107—71no—
886#416—71no—
887#416—71no—
888C2×#102—71no—
889C2×#102—71no—
890C2×#102C2×D711yescharacteristic, complemented
891C2×#102C2×D711yescharacteristic, complemented
892#405—71no—
893#405—71no—
894C2×C4×C8—71no—
895C23×C7—21no—
896C23×C7—21no—
897C23×C7—21no—
898C23×C7—21no—
899C23×C7—42no—
900C23×C7—42no—
901C23×C7—42no—
902C23×C7—81no—
903C23×C7—81no—
904C23×C7—81no—
905C23×C7C22×D411yescharacteristic
906C23×C7C22×D411yescharacteristic
907C22×D7—21no—
908C22×D7—21no—
909C22×D7—42no—
910C22×D7—42no—
911C22×D7—42no—
912C22×D7—81no—
913C22×D7—81no—
914C22×D7—81no—
915C22×D7C22×D411yescharacteristic
916C7×Q8—81no—
917C7×D4—22no—
918C7×D4—21no—
919C7×D4—21no—
920C7×D4—21no—
921C7×D4—21no—
922C7×D4—21no—
923C7×D4—21no—
924C7×D4—21no—
925C7×D4—42no—
926C7×D4—42no—
927C7×D4—42no—
928C7×D4—42no—
929C7×D4—81no—
930C7×D4—81no—
931C7×D4—81no—
932C7×D4—81no—
933C7×D4C2×#4112yes—
934C2×C4×C7—21no—
935C2×C4×C7—21no—
936C2×C4×C7—21no—
937C2×C4×C7—21no—
938C2×C4×C7—21no—
939C2×C4×C7—21no—
940C2×C4×C7—21no—
941C2×C4×C7—21no—
942C2×C4×C7—42no—
943C2×C4×C7—81no—
944C2×C4×C7—81no—
945C2×C4×C7—81no—
946C2×C4×C7C22×D411yescharacteristic
947C2×C4×C7C22×D411yescharacteristic
948C2×C4×C7C22×D411yescharacteristic
949C2×C4×C7C22×D411yescharacteristic
950C2×C4×C7C2511yescharacteristic
951C22⋊D7—22no—
952C22⋊D7—41no—
953C22⋊D7—42no—
954C22⋊D7—42no—
955C22⋊D7—42no—
956C22⋊D7—81no—
957C22⋊D7—81no—
958C22⋊D7—81no—
959C22⋊D7—81no—
960C22⋊D7—81no—
961C2×Dic7—22no—
962C2×Dic7—21no—
963C2×Dic7—21no—
964C2×Dic7—21no—
965C2×Dic7—21no—
966C2×Dic7—21no—
967C2×Dic7—21no—
968C2×Dic7—41no—
969C2×Dic7—42no—
970C2×Dic7—42no—
971C2×Dic7—81no—
972C2×Dic7—81no—
973C2×Dic7—81no—
974C2×Dic7—81no—
975C2×Dic7—81no—
976C2×Dic7—81no—
977C2×Dic7—81no—
978C2×Dic7—81no—
979C2×Dic7C22×D411yescharacteristic
980C2×Dic7C22×D411yescharacteristic
981C2×Dic7C22×D411yescharacteristic
982C2×Dic7C22×D411yescharacteristic
983C2×Dic7C22×D411yescharacteristic
984C2×Dic7C22×D411yescharacteristic
985C2×Dic7C22×D411yescharacteristic
986D28—21no—
987D28—21no—
988D28—21no—
989D28—42no—
990D28—81no—
991D28C2×#4112yes—
992C4×D7—21no—
993C4×D7—21no—
994C4×D7—42no—
995C4×D7—81no—
996C4×D7—81no—
997C4×D7—81no—
998C4×D7—81no—
999C4×D7—81no—
1000C4×D7—81no—
1001C4×D7—81no—
1002Dic14—21no—
1003Dic14—21no—
1004Dic14—21no—
1005Dic14—21no—
1006Dic14—41no—
1007Dic14—81no—
1008C7×C8—21no—
1009C7×C8—21no—
1010C7×C8—21no—
1011C7×C8—21no—
1012C7⋊C8—21no—
1013C7⋊C8—21no—
1014C7⋊C8—21no—
1015C7⋊C8C2×#4112yes—
1016C2×#41—21no—
1017C2×#41—71no—
1018C2×#41—71no—
1019C2×#41—141no—
1020C22×D4—21no—
1021C22×D4—71no—
1022C22×D4—71no—
1023C22×D4—141no—
1024C22×D4C22×D711yescharacteristic
1025C22×D4C22×D711yescharacteristic
1026C23×C4—141no—
1027C23×C4—141no—
1028AGL(1,ℤ/8)—144no—
1029AGL(1,ℤ/8)—144no—
1030C2×Q16—71no—
1031C2×SD16—71no—
1032C2×SD16—71no—
1033C2×SD16—71no—
1034C2×SD16—71no—
1035C2×SD16—71no—
1036C2×SD16—71no—
1037C2×D8—71no—
1038C2×D8—71no—
1039C2×D8—71no—
1040C2×D8—71no—
1041C2×D8—71no—
1042C2×D8—71no—
1043C2×D8—144no—
1044C2×D8C22×D711yescharacteristic
1045C2×D8C22×D711yescharacteristic
1046C2×D8C22×D711yescharacteristic
1047C2×M16—71no—
1048C2×M16—71no—
1049C22×C8—71no—
1050C22×C8—71no—
1051C22×C8C22×D711yescharacteristic
1052C22×C8C22×D711yescharacteristic
1053C4⋊Q8—71no—
1054C4⋊Q8C22×D711yescharacteristic
1055#127—71no—
1056#127C22×D711yescharacteristic
1057#126—71no—
1058#126—71no—
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#125—71no—
1068#125—71no—
1069#125—71no—
1070#125—71no—
1071#125—71no—
1072#125—141no—
1073#125—141no—
1074#124—71no—
1075#124—71no—
1076#124—71no—
1077#124—71no—
1078#124—71no—
1079#124—141no—
1080#124—141no—
1081#124—141no—
1082#124—141no—
1083#123—21no—
1084#123—21no—
1085#123—71no—
1086#123—71no—
1087#123—141no—
1088#123—141no—
1089#123—141no—
1090#123—141no—
1091#123—141no—
1092#123—141no—
1093#123—141no—
1094#123—141no—
1095#123—141no—
1096#123—141no—
1097#123—141no—
1098#123—141no—
1099#123—141no—
1100#123—141no—
1101#123—141no—
1102#123—141no—
1103#123—141no—
1104#123—141no—
1105#123—141no—
1106#123—141no—
1107#123—141no—
1108#123—141no—
1109C22⋊Q8—21no—
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—
1124#121—21no—
1125#121—71no—
1126#121—71no—
1127#121—71no—
1128#121—71no—
1129#121—71no—
1130#121—141no—
1131#121—141no—
1132#121—141no—
1133#121—141no—
1134#121—141no—
1135#121—141no—
1136#121—141no—
1137#121—141no—
1138#121—141no—
1139#121—141no—
1140#121—141no—
1141#121C22×D711yescharacteristic
1142#121C22×D711yescharacteristic
1143#121C22×D711yescharacteristic
1144#121C22×D711yescharacteristic
1145#120—21no—
1146#120—21no—
1147#120—141no—
1148#120—141no—
1149#120—141no—
1150#120—141no—
1151#120—141no—
1152#120—141no—
1153C4×Q8—71no—
1154C4×Q8—71no—
1155C4×Q8—71no—
1156C4×Q8—71no—
1157C4×Q8—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—71no—
1169C4×D4—71no—
1170C4×D4—71no—
1171C4×D4—71no—
1172C4×D4—71no—
1173C4×D4—71no—
1174C4×D4—141no—
1175C4×D4—141no—
1176C4×D4—141no—
1177C4×D4—141no—
1178C4×D4—141no—
1179C4×D4—141no—
1180C4×D4—141no—
1181C4×D4—141no—
1182C4×D4—141no—
1183C4×D4—141no—
1184C4×D4—141no—
1185C4×D4—141no—
1186C4×D4—141no—
1187C4×D4—141no—
1188C4×D4—141no—
1189C4×D4—141no—
1190C4×D4—141no—
1191C4×D4—141no—
1192C4×D4C22×D711yescharacteristic
1193C4×D4C22×D711yescharacteristic
1194C4×D4C22×D711yescharacteristic
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—
1205C2×C4⋊C4—71no—
1206C2×C4⋊C4—71no—
1207C2×C4⋊C4—141no—
1208C2×C4⋊C4—141no—
1209C2×C4⋊C4—141no—
1210C2×C4⋊C4—141no—
1211C2×C4⋊C4C22×D711yescharacteristic
1212C2×C4⋊C4C22×D711yescharacteristic
1213C2×C22⋊C4—141no—
1214C2×C22⋊C4—141no—
1215C2×C22⋊C4—141no—
1216C2×C22⋊C4—141no—
1217C2×C22⋊C4—141no—
1218C2×C22⋊C4—141no—
1219C2×C22⋊C4—141no—
1220C2×C22⋊C4—141no—
1221C2×C22⋊C4—141no—
1222C2×C22⋊C4—141no—
1223C2×C42—71no—
1224#107—71no—
1225#107—71no—
1226#107—71no—
1227#107—71no—
1228#107—71no—
1229#107—71no—
1230#107—71no—
1231#107C22×D711yescharacteristic
1232#107C22×D711yescharacteristic
1233#107C22×D711yescharacteristic
1234#106—71no—
1235#106—71no—
1236#106—71no—
1237#106—71no—
1238#106—71no—
1239#106—71no—
1240C4⋊C8—71no—
1241C4⋊C8—71no—
1242C4⋊C8—71no—
1243C4⋊C8—71no—
1244C4⋊C8—71no—
1245C4⋊C8C22×D711yescharacteristic
1246#103—71no—
1247#103—71no—
1248#103—71no—
1249#103—71no—
1250#103—71no—
1251#103—71no—
1252#103—71no—
1253#103—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#102—71no—
1263#102—71no—
1264#102—71no—
1265#102—71no—
1266#102—71no—
1267#102—71no—
1268#102C22×D711yescharacteristic
1269#102C22×D711yescharacteristic
1270#102C22×D711yescharacteristic
1271#102C22×D711yescharacteristic
1272#102C22×D711yescharacteristic
1273#102C22×D711yescharacteristic
1274#102C22×D711yescharacteristic
1275#102C22×D711yescharacteristic
1276#102C22×D711yescharacteristic
1277#102C22×D711yescharacteristic
1278C22⋊C8—71no—
1279C22⋊C8—71no—
1280C22⋊C8—71no—
1281C22⋊C8—71no—
1282C22⋊C8C22×D711yescharacteristic
1283C22⋊C8C22×D711yescharacteristic
1284#97—71no—
1285#97—71no—
1286#97—71no—
1287#97—71no—
1288C4×C8—71no—
1289C4×C8—71no—
1290C4×C8—71no—
1291C4×C8—71no—
1292C4×C8—71no—
1293C4×C8C22×D711yescharacteristic
1294C22×C7—21no—
1295C22×C7—21no—
1296C22×C7—21no—
1297C22×C7—22no—
1298C22×C7—21no—
1299C22×C7—21no—
1300C22×C7—41no—
1301C22×C7—41no—
1302C22×C7—41no—
1303C22×C7—41no—
1304C22×C7—41no—
1305C22×C7—41no—
1306C22×C7—41no—
1307C22×C7—41no—
1308C22×C7—41no—
1309C22×C7—41no—
1310C22×C7—41no—
1311C22×C7—84no—
1312C22×C7—162no—
1313C22×C7#57612yes—
1314C22×C7C23×D411yescharacteristic
1315C2×D7—21no—
1316C2×D7—21no—
1317C2×D7—22no—
1318C2×D7—21no—
1319C2×D7—41no—
1320C2×D7—41no—
1321C2×D7—41no—
1322C2×D7—41no—
1323C2×D7—41no—
1324C2×D7—84no—
1325C2×D7—162no—
1326C4×C7—21no—
1327C4×C7—21no—
1328C4×C7—21no—
1329C4×C7—21no—
1330C4×C7—41no—
1331C4×C7—41no—
1332C4×C7—41no—
1333C4×C7—41no—
1334C4×C7C22×#4111yescharacteristic
1335C4×C7#58511yescharacteristic
1336Dic7—21no—
1337Dic7—21no—
1338Dic7—21no—
1339Dic7—21no—
1340Dic7—21no—
1341Dic7—21no—
1342Dic7—21no—
1343Dic7—41no—
1344Dic7—41no—
1345Dic7—41no—
1346Dic7—41no—
1347Dic7—41no—
1348Dic7—41no—
1349C24—21no—
1350C24—21no—
1351C24—141no—
1352C24—141no—
1353#41—82no—
1354#41—142no—
1355#41—142no—
1356#41—281no—
1357#41—281no—
1358#41—562no—
1359C2×Q8—21no—
1360C2×Q8—71no—
1361C2×Q8—71no—
1362C2×Q8—71no—
1363C2×Q8—141no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—71no—
1377C2×D4—71no—
1378C2×D4—71no—
1379C2×D4—71no—
1380C2×D4—82no—
1381C2×D4—142no—
1382C2×D4—141no—
1383C2×D4—141no—
1384C2×D4—141no—
1385C2×D4—141no—
1386C2×D4—142no—
1387C2×D4—141no—
1388C2×D4—141no—
1389C2×D4—141no—
1390C2×D4—141no—
1391C2×D4—141no—
1392C2×D4—141no—
1393C2×D4—281no—
1394C2×D4—281no—
1395C2×D4—562no—
1396C2×D4D4×D711yescharacteristic
1397C2×D4C23×D711yescharacteristic
1398C2×D4C23×D711yescharacteristic
1399C2×D4C23×D711yescharacteristic
1400C2×D4C23×D711yescharacteristic
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—71no—
1406C22×C4—71no—
1407C22×C4—71no—
1408C22×C4—141no—
1409C22×C4—141no—
1410C22×C4—141no—
1411C22×C4—141no—
1412C22×C4—141no—
1413C22×C4—141no—
1414C22×C4—141no—
1415C22×C4—141no—
1416C22×C4—141no—
1417C22×C4—141no—
1418C22×C4—141no—
1419C22×C4—141no—
1420C22×C4—141no—
1421C22×C4—141no—
1422C22×C4—141no—
1423C22×C4—141no—
1424C22×C4—141no—
1425C22×C4—141no—
1426C22×C4—562no—
1427C22×C4—562no—
1428C22×C4C23×D711yescharacteristic
1429C22×C4C23×D711yescharacteristic
1430Q16—281no—
1431SD16—142no—
1432SD16—142no—
1433SD16—142no—
1434SD16—142no—
1435SD16—281no—
1436SD16—281no—
1437D8—22no—
1438D8—41no—
1439D8—41no—
1440D8—74no—
1441D8—142no—
1442D8—142no—
1443D8—142no—
1444D8—142no—
1445D8—281no—
1446M16—142no—
1447M16—142no—
1448C2×C8—41no—
1449C2×C8—41no—
1450C2×C8—71no—
1451C2×C8—71no—
1452C2×C8—71no—
1453C2×C8—71no—
1454C2×C8—142no—
1455C2×C8—281no—
1456C2×C8C23×D711yescharacteristic
1457C2×C8C23×D711yescharacteristic
1458C2×C8C23×D711yescharacteristic
1459C2×C8C23×D711yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—71no—
1464C4⋊C4—71no—
1465C4⋊C4—71no—
1466C4⋊C4—71no—
1467C4⋊C4—71no—
1468C4⋊C4—71no—
1469C4⋊C4—71no—
1470C4⋊C4—71no—
1471C4⋊C4—71no—
1472C4⋊C4—71no—
1473C4⋊C4—71no—
1474C4⋊C4—71no—
1475C4⋊C4—71no—
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⋊C4—141no—
1485C4⋊C4—141no—
1486C4⋊C4—141no—
1487C4⋊C4—141no—
1488C4⋊C4—141no—
1489C4⋊C4—141no—
1490C4⋊C4—141no—
1491C4⋊C4—141no—
1492C4⋊C4—141no—
1493C4⋊C4—141no—
1494C4⋊C4—141no—
1495C4⋊C4D4×D711yescharacteristic
1496C4⋊C4C23×D711yescharacteristic
1497C4⋊C4C23×D711yescharacteristic
1498C4⋊C4C23×D711yescharacteristic
1499C4⋊C4C23×D711yescharacteristic
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—71no—
1507C22⋊C4—71no—
1508C22⋊C4—71no—
1509C22⋊C4—71no—
1510C22⋊C4—71no—
1511C22⋊C4—71no—
1512C22⋊C4—71no—
1513C22⋊C4—71no—
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—
1530C22⋊C4—141no—
1531C22⋊C4—141no—
1532C22⋊C4—141no—
1533C22⋊C4—141no—
1534C22⋊C4—141no—
1535C22⋊C4—141no—
1536C22⋊C4—141no—
1537C22⋊C4—141no—
1538C22⋊C4—141no—
1539C22⋊C4—141no—
1540C22⋊C4—141no—
1541C22⋊C4—141no—
1542C22⋊C4—141no—
1543C22⋊C4—141no—
1544C22⋊C4—141no—
1545C22⋊C4—141no—
1546C22⋊C4D4×D711yescharacteristic
1547C22⋊C4D4×D711yescharacteristic
1548C42—71no—
1549C42—71no—
1550C42—71no—
1551C42—71no—
1552C42—71no—
1553C42—141no—
1554C42—141no—
1555C42—141no—
1556C42—141no—
1557C42—141no—
1558C42—141no—
1559C42C23×D711yescharacteristic
1560C2×C7—22no—
1561C2×C7—41no—
1562C2×C7—42no—
1563C2×C7—81no—
1564C2×C7—81no—
1565C2×C7—81no—
1566C2×C7D4×#4111yescharacteristic
1567C2×C7C2×#57611yescharacteristic
1568C2×C7#358411yescharacteristic
1569D7—41no—
1570D7—42no—
1571D7—81no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—42no—
1577C23—42no—
1578C23—42no—
1579C23—71no—
1580C23—81no—
1581C23—81no—
1582C23—81no—
1583C23—141no—
1584C23—141no—
1585C23—282no—
1586C23—282no—
1587C23—282no—
1588C23—561no—
1589C23—561no—
1590C23—561no—
1591C23C2×D4×D711yescharacteristic
1592C23C2×D4×D711yescharacteristic
1593Q8—81no—
1594Q8—141no—
1595Q8—141no—
1596Q8—141no—
1597Q8—141no—
1598Q8—281no—
1599Q8—561no—
1600D4—22no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—42no—
1609D4—42no—
1610D4—42no—
1611D4—42no—
1612D4—72no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—142no—
1618D4—141no—
1619D4—141no—
1620D4—141no—
1621D4—282no—
1622D4—281no—
1623D4—282no—
1624D4—282no—
1625D4—282no—
1626D4—561no—
1627D4—561no—
1628D4—561no—
1629D4—561no—
1630D4—561no—
1631D4—561no—
1632D4D7×#4112yes—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—42no—
1642C2×C4—71no—
1643C2×C4—71no—
1644C2×C4—71no—
1645C2×C4—71no—
1646C2×C4—71no—
1647C2×C4—71no—
1648C2×C4—71no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—142no—
1653C2×C4—141no—
1654C2×C4—141no—
1655C2×C4—141no—
1656C2×C4—141no—
1657C2×C4—141no—
1658C2×C4—141no—
1659C2×C4—141no—
1660C2×C4—141no—
1661C2×C4—282no—
1662C2×C4—281no—
1663C2×C4—282no—
1664C2×C4—282no—
1665C2×C4—561no—
1666C2×C4—561no—
1667C2×C4—561no—
1668C2×C4—561no—
1669C2×C4—561no—
1670C2×C4—561no—
1671C2×C4—561no—
1672C2×C4—561no—
1673C2×C4—561no—
1674C2×C4—561no—
1675C2×C4—561no—
1676C2×C4—561no—
1677C2×C4—561no—
1678C2×C4—561no—
1679C2×C4—561no—
1680C2×C4C2×D4×D711yescharacteristic
1681C2×C4C2×D4×D711yescharacteristic
1682C2×C4C2×D4×D711yescharacteristic
1683C2×C4C2×D4×D711yescharacteristic
1684C2×C4C24×D711yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—72no—
1690C8—141no—
1691C8—141no—
1692C8—141no—
1693C7#6148911yescharacteristic, complemented, Sylow
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—22no—
1699C22—21no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—84no—
1712C22—141no—
1713C22—141no—
1714C22—142no—
1715C22—141no—
1716C22—162no—
1717C22—281no—
1718C22—281no—
1719C22—281no—
1720C22—281no—
1721C22—281no—
1722C22—564no—
1723C22—1122no—
1724C22#9044812yes—
1725C22C22×D4×D711yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—141no—
1735C4—141no—
1736C4—141no—
1737C4—141no—
1738C4—141no—
1739C4—141no—
1740C4—141no—
1741C4—281no—
1742C4—281no—
1743C4—281no—
1744C4—281no—
1745C4—281no—
1746C4—281no—
1747C4C2×D7×#4111yescharacteristic
1748C4#9061811yescharacteristic
1749C2—22no—
1750C2—41no—
1751C2—42no—
1752C2—81no—
1753C2—81no—
1754C2—81no—
1755C2—281no—
1756C2—282no—
1757C2—561no—
1758C2#1174369411yescharacteristic
1759C2C2×#9044811yescharacteristic
1760C2#1174427411yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3294C2
socleC22×C7C23×D4
hypercenter#3294D7
hypocenterC7#61489
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3294

Complements

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

NH ≅ G/Ntype
1. #11743749C2semidirect
2. #11743677C2semidirect
3. C7×#3294C2semidirect
4. #11740963C2semidirect
5. #11740933C2semidirect
6. #11739030C2semidirect
7. #11739003C2semidirect
8. #11738742C2semidirect
9. #11738738C2semidirect
10. #11738718C2semidirect
11. #11738716C2semidirect
12. #11738407C2semidirect
13. #11738398C2semidirect
14. #11738176C2semidirect
15. #11738170C2semidirect
16. #11738145C2semidirect
17. #11738141C2semidirect
18. #11737774C2semidirect
19. #11737762C2semidirect
20. #11737468C2semidirect
21. #11737467C2semidirect
22. #11737438C2semidirect
23. #11737436C2semidirect
24. #11737032C2semidirect
25. #11737014C2semidirect
26. #11736885C2semidirect
27. #11736845C2semidirect
28. #11736205C2semidirect
29. #11736204C2semidirect
30. #11736171C2semidirect
31. C2×#89528C2semidirect
33. C7×D42C22semidirect
38. #90497C22semidirect
39. #90489C22semidirect
41. C2×D4×Dic7C22semidirect
45. #90424C22semidirect
46. #90421C22semidirect
47. #90410C22semidirect
48. #90404C22semidirect
55. #90310C22semidirect
56. #90305C22semidirect
57. #90303C22semidirect
59. #90300C22semidirect
60. #90294C22semidirect
63. #90291C22semidirect
64. #90291C22semidirect
69. #90250C22semidirect
71. #90237C22semidirect
72. #90236C22semidirect
73. #90232C22semidirect
74. #90230C22semidirect
76. #90205C22semidirect
77. #90204C22semidirect
78. #90195C22semidirect
79. C2×#6456C22semidirect
80. C7×#486C22semidirect
81. C7×#480C22semidirect
82. C7×#480C22semidirect
83. C7×#474C22semidirect
85. C7×#466C22semidirect
86. C7×#459C22semidirect
88. C7×#447C22semidirect
89. C4×C7×D8C22semidirect
90. C7×C8×D4C22semidirect
91. C2×C7×#102C22semidirect
92. C2×C7×#102C22semidirect
93. #89990C22semidirect
94. #89989C22semidirect
95. #89928C22semidirect
96. #89928C22semidirect
97. #89927C22semidirect
98. #89926C22semidirect
99. #89925C22semidirect
100. #89925C22semidirect
101. #89924C22semidirect
102. #89924C22semidirect
104. #89922C22semidirect
105. D8×Dic7C22semidirect
106. #89888C22semidirect
107. #89886C22semidirect
108. #89885C22semidirect
109. C2×#6395C22semidirect
110. C8×C22⋊D7C22semidirect
111. C8×C22⋊D7C22semidirect
112. #89873C22semidirect
113. C2×C8×Dic7C22semidirect
114. #89863C22semidirect
115. #89852C22semidirect
116. #89846C22semidirect
118. #89814C22semidirect
119. #89813C22semidirect
120. #89813C22semidirect
121. #89811C22semidirect
124. #89807C22semidirect
125. #89805C22semidirect
126. #89790C22semidirect
127. #89788C22semidirect
129. #89783C22semidirect
130. #89781C22semidirect
131. #89743C22semidirect
132. #89742C22semidirect
133. #89736C22semidirect
134. C2×#6381C22semidirect
135. #89663C22semidirect
136. #89663C22semidirect
137. #89662C22semidirect
138. #89661C22semidirect
139. #89661C22semidirect
140. #89656C22semidirect
141. #89654C22semidirect
142. #89653C22semidirect
143. #89650C22semidirect
144. #89648C22semidirect
145. #89647C22semidirect
146. #89645C22semidirect
147. #89619C22semidirect
148. #89617C22semidirect
149. #89612C22semidirect
150. #89600C22semidirect
151. #89559C22semidirect
152. #89559C22semidirect
153. #89559C22semidirect
155. #89557C22semidirect
156. #89557C22semidirect
157. #89556C22semidirect
158. #89555C22semidirect
159. #89554C22semidirect
161. #89552C22semidirect
162. #89551C22semidirect
163. #89550C22semidirect
164. #89547C22semidirect
165. #89544C22semidirect
166. D7×#102C22semidirect
167. #89540C22semidirect
168. #89540C22semidirect
169. #89540C22semidirect
170. #89539C22semidirect
171. #89538C22semidirect
172. #89535C22semidirect
173. #89535C22semidirect
174. #89535C22semidirect
175. #89532C22semidirect
176. #89530C22semidirect
177. #89530C22semidirect
178. #89530C22semidirect
179. #89529C22semidirect
180. #89529C22semidirect
181. #89529C22semidirect
184. #89528C22semidirect
185. #89528C22semidirect
186. #89528C22semidirect
187. #89528C22semidirect
188. #89528C22semidirect
189. #89528C22semidirect
190. #89528C22semidirect
191. #89509C22semidirect
192. #89505C22semidirect
193. #89503C22semidirect
194. #89502C22semidirect
195. #89501C22semidirect
196. #89493C22semidirect
197. #89492C22semidirect
198. #89491C22semidirect
199. #89469C22semidirect
200. C4×#1132C22semidirect
201. #89461C22semidirect
202. C8×Dic14C22semidirect
496. #3294D7semidirect
653. #1141#41semidirect
750. D42C2×D7semidirect
783. #486C2×D7semidirect
794. #480C2×D7semidirect
795. #480C2×D7semidirect
807. #474C2×D7semidirect
815. #466C2×D7semidirect
831. #459C2×D7semidirect
843. #447C2×D7semidirect
873. C4×D8C2×D7semidirect
879. C8×D4C2×D7semidirect
890. C2×#102C2×D7semidirect
891. C2×#102C2×D7semidirect
1693. C7#61489semidirect

Maximal subgroups

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

subgroupindex
#117437492
#117436772
C7×#32942
#117409632
#117409332
#117390302
#117390032
#117387422
#117387382
#117387182
#117387162
#117384072
#117383982
#117381762
#117381702
#117381452
#117381412
#117377742
#117377622
#117374682
#117374672
#117374382
#117374362
#117370322
#117370142
#117368852
#117368452
#117362052
#117362042
#117361712
C2×#895282
#614897