Finite Group Databasebeta

← #14240422

Subgroups — #14240422

Order 1792.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1900 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11743110C211yesmaximal, characteristic, complemented
2#11743101C211yesmaximal, characteristic, complemented
3C7×#2978C211yesmaximal, characteristic, complemented
4#11737009C211yesmaximal, characteristic, complemented
5#11737007C211yesmaximal, characteristic, complemented
6#11737005C211yesmaximal, characteristic, complemented
7#11737002C211yesmaximal, characteristic, complemented
8#11736998C211yesmaximal, characteristic, complemented
9#11736996C211yesmaximal, characteristic, complemented
10#11736994C211yesmaximal, characteristic, complemented
11#11736993C211yesmaximal, characteristic, complemented
12#11736960C211yesmaximal, characteristic, complemented
13#11736954C211yesmaximal, characteristic, complemented
14#11736951C211yesmaximal, characteristic, complemented
15#11736949C211yesmaximal, characteristic, complemented
16#11736942C211yesmaximal, characteristic, complemented
17#11736941C211yesmaximal, characteristic, complemented
18#11736940C211yesmaximal, characteristic, complemented
19#11736939C211yesmaximal, characteristic, complemented
20#11736842C211yesmaximal, characteristic, complemented
21#11736838C211yesmaximal, characteristic, complemented
22#11736833C211yesmaximal, characteristic, complemented
23#11736829C211yesmaximal, characteristic, complemented
24#11736125C211yesmaximal, characteristic, complemented
25#11736123C211yesmaximal, characteristic, complemented
26#11736121C211yesmaximal, characteristic, complemented
27#11736118C211yesmaximal, characteristic, complemented
28#11736092C211yesmaximal, characteristic, complemented
29#11736087C211yesmaximal, characteristic, complemented
30#11736084C211yesmaximal, characteristic, complemented
31#11736083C211yesmaximal, characteristic, complemented
32C2×#6554C2211yescharacteristic, complemented
33C22×#1157C2211yescharacteristic, complemented
34C7×#525C2211yescharacteristic
35#90524C2211yescharacteristic, complemented
36#90524C2211yescharacteristic, complemented
37#90521C2211yescharacteristic, complemented
38#90482C2211yescharacteristic
39C2×#6493C2211yescharacteristic
40C2×#6487C2211yescharacteristic, complemented
41C2×#6472C2211yescharacteristic, complemented
42C2×#6472C2211yescharacteristic, complemented
43C2×#6471C2211yescharacteristic
44C2×#6471C2211yescharacteristic
45C2×#6471C2211yescharacteristic, complemented
46C2×#6471C2211yescharacteristic, complemented
47C2×#6467C2211yescharacteristic, complemented
48C22×#1132C2211yescharacteristic, complemented
49#90354—21no—
50#90348—21no—
51#90346—21no—
52#90346—21no—
53#90338—21no—
54#90328—21no—
55#90319—21no—
56D7×C22⋊Q8—21no—
57#90311—21no—
58#90301—21no—
59#90299—21no—
60#90297—21no—
61#90283—21no—
62#90282—21no—
63#90282—21no—
64#90280—21no—
65#90256C2211yescharacteristic
66#90254C2211yescharacteristic
67#90246C2211yescharacteristic, complemented
68#90244C2211yescharacteristic
69#90243C2211yescharacteristic
70#90243C2211yescharacteristic, complemented
71#90242C2211yescharacteristic
72#90242C2211yescharacteristic, complemented
73#90241C2211yescharacteristic
74#90241C2211yescharacteristic, complemented
75#90241C2211yescharacteristic, complemented
76#90241C2211yescharacteristic, complemented
77D4×D28C2211yescharacteristic, complemented
78#90232C2211yescharacteristic, complemented
79D4×Dic14C2211yescharacteristic, complemented
80D4×Dic14C2211yescharacteristic, complemented
81#90226C2211yescharacteristic, complemented
82#90225C2211yescharacteristic, complemented
83#90217C2211yescharacteristic, complemented
84#90214C2211yescharacteristic, complemented
85C7×#436C2211yescharacteristic, complemented
86C7×#436C2211yescharacteristic, complemented
87C7×#436C2211yescharacteristic, complemented
88C7×#436C2211yescharacteristic, complemented
89C7×#435C2211yescharacteristic, complemented
90C7×#435C2211yescharacteristic, complemented
91C7×#435C2211yescharacteristic, complemented
92C7×#435C2211yescharacteristic, complemented
93C7×#433C2211yescharacteristic, complemented
94C7×#433C2211yescharacteristic, complemented
95C7×#408C2211yescharacteristic, complemented
96C7×#408C2211yescharacteristic, complemented
97C7×#407C2211yescharacteristic, complemented
98C7×#407C2211yescharacteristic, complemented
99#89909C2211yescharacteristic, complemented
100#89909C2211yescharacteristic, complemented
101#89907C2211yescharacteristic, complemented
102#89906C2211yescharacteristic
103#89906C2211yescharacteristic
104#89906C2211yescharacteristic, complemented
105#89906C2211yescharacteristic, complemented
106#89906C2211yescharacteristic, complemented
107#89906C2211yescharacteristic, complemented
108#89906C2211yescharacteristic, complemented
109#89906C2211yescharacteristic, complemented
110#89906C2211yescharacteristic, complemented
111#89905C2211yescharacteristic, complemented
112#89905C2211yescharacteristic, complemented
113#89905C2211yescharacteristic, complemented
114#89903C2211yescharacteristic, complemented
115#89892C2211yescharacteristic, complemented
116#89892C2211yescharacteristic, complemented
117#89888C2211yescharacteristic, complemented
118#89887C2211yescharacteristic, complemented
119#89887C2211yescharacteristic, complemented
120#89886C2211yescharacteristic, complemented
121#89885C2211yescharacteristic, complemented
122C2×#6390C2211yescharacteristic, complemented
123#89622C2211yescharacteristic, complemented
124#89621C2211yescharacteristic, complemented
125#89620C2211yescharacteristic, complemented
126#89619C2211yescharacteristic, complemented
127#89618C2211yescharacteristic, complemented
128#89617C2211yescharacteristic, complemented
129#89617C2211yescharacteristic, complemented
130#89616C2211yescharacteristic, complemented
131#89616C2211yescharacteristic, complemented
132#89616C2211yescharacteristic, complemented
133#89616C2211yescharacteristic, complemented
134#89615C2211yescharacteristic, complemented
135#89613C2211yescharacteristic, complemented
136#89613C2211yescharacteristic, complemented
137#89613C2211yescharacteristic, complemented
138#89601C2211yescharacteristic, complemented
139#89511C2211yescharacteristic, complemented
140#89511C2211yescharacteristic, complemented
141#89510C2211yescharacteristic
142#89510C2211yescharacteristic, complemented
143#89510C2211yescharacteristic, complemented
144#89510C2211yescharacteristic, complemented
145#89510C2211yescharacteristic, complemented
146#89510C2211yescharacteristic, complemented
147#89510C2211yescharacteristic, complemented
148#89510C2211yescharacteristic, complemented
149#89509C2211yescharacteristic, complemented
150#89508C2211yescharacteristic, complemented
151#89508C2211yescharacteristic, complemented
152#89508C2211yescharacteristic, complemented
153#89507C2211yescharacteristic, complemented
154#89506C2211yescharacteristic
155#89506C2211yescharacteristic
156#89506C2211yescharacteristic
157#89506C2211yescharacteristic
158#89506C2211yescharacteristic, complemented
159#89506C2211yescharacteristic, complemented
160#89506C2211yescharacteristic, complemented
161#89506C2211yescharacteristic, complemented
162#89506C2211yescharacteristic, complemented
163#89506C2211yescharacteristic, complemented
164#89506C2211yescharacteristic, complemented
165#89506C2211yescharacteristic, complemented
166#89505C2211yescharacteristic, complemented
167#89505C2211yescharacteristic, complemented
168#89505C2211yescharacteristic, complemented
169#89505C2211yescharacteristic, complemented
170#89505C2211yescharacteristic, complemented
171#89505C2211yescharacteristic, complemented
172#89505C2211yescharacteristic, complemented
173#89505C2211yescharacteristic, complemented
174#89504C2211yescharacteristic
175#89504C2211yescharacteristic, complemented
176#89504C2211yescharacteristic, complemented
177#89503C2211yescharacteristic, complemented
178#89503C2211yescharacteristic, complemented
179#89503C2211yescharacteristic, complemented
180#89495C2211yescharacteristic, complemented
181#89495C2211yescharacteristic, complemented
182#89495C2211yescharacteristic, complemented
183#89494C2211yescharacteristic, complemented
184#89494C2211yescharacteristic, complemented
185#89494C2211yescharacteristic, complemented
186#89494C2211yescharacteristic, complemented
187#89487C2211yescharacteristic, complemented
188#89486C2211yescharacteristic, complemented
189#89484C2211yescharacteristic, complemented
190#89483C2211yescharacteristic, complemented
191#89482C2211yescharacteristic, complemented
192#89482C2211yescharacteristic, complemented
193#89482C2211yescharacteristic, complemented
194#89475C2211yescharacteristic, complemented
195C4×Dic28C2211yescharacteristic, complemented
196#89469C2211yescharacteristic, complemented
197#89468C2211yescharacteristic, complemented
198#89465C2211yescharacteristic, complemented
199C4×D56C2211yescharacteristic, complemented
200C4×D56C2211yescharacteristic, complemented
201C4×#1132C2211yescharacteristic, complemented
202#89453C2211yescharacteristic, complemented
203#61656—71nomaximal, Sylow
204C2×C7×#41C2311yescharacteristic
205C23×C4×C7C2311yescharacteristic
206C22×C22⋊D7—21no—
207C22×C22⋊D7—21no—
208#6554—42no—
209#6554—42no—
210C2×Q8×D7—21no—
211C2×#1159—21no—
212C2×#1159—21no—
213C2×#1159—21no—
214C2×#1159—21no—
215C2×D4×D7—21no—
216C2×#1157—21no—
217C2×#1157—21no—
218C2×#1157—42no—
219C2×#1157—42no—
220C2×#1157C2311yescharacteristic
221C2×#1157C2311yescharacteristic
222C2×#1157C2311yescharacteristic
223C2×#1157C2311yescharacteristic
224C2×#1157C2311yescharacteristic
225C2×#1157C2311yescharacteristic
226C2×#1157C2311yescharacteristic
227C2×#1157C2311yescharacteristic
228C22×D28C2311yescharacteristic
229C22×D28C2311yescharacteristic
230C22×D28C2311yescharacteristic
231C22×C4×D7—21no—
232C22×Dic14C2311yescharacteristic
233C22×Dic14C2311yescharacteristic
234C22×Dic14C2311yescharacteristic
235C22×Dic14C2311yescharacteristic
236C2×C7×M16C2311yescharacteristic
237C2×C7×M16C2311yescharacteristic
238C2×C7×M16C2311yescharacteristic
239C2×C7×M16C2311yescharacteristic
240C2×C7×M16C2311yescharacteristic
241C2×C7×M16C2311yescharacteristic
242C22×C7×C8C2311yescharacteristic
243C22×C7×C8C2311yescharacteristic
244C7×#123D411yescharacteristic
245C7×#123D411yescharacteristic
246C7×C22⋊Q8D411yescharacteristic
247C7×C22⋊Q8D411yescharacteristic
248C7×#121D411yescharacteristic
249C7×#121D411yescharacteristic
250C7×#120D411yescharacteristic
251C7×#120D411yescharacteristic
252C4×C7×D4C2311yescharacteristic
253C4×C7×D4C2311yescharacteristic
254C4×C7×D4C2311yescharacteristic
255C4×C7×D4C2311yescharacteristic
256C7×#117C2311yescharacteristic
257#6516—21no—
258C2×C22⋊Dic7—21no—
259#6510—21no—
260#6509—21no—
261#6509—21no—
262#6503—21no—
263#6503—21no—
264#6502—21no—
265#6502—21no—
266#6502—21no—
267#6502—21no—
268#6502—21no—
269#6502—21no—
270#6502—21no—
271#6501—21no—
272#6501—21no—
273#6501—21no—
274#6501—21no—
275#6501—21no—
276#6500—21no—
277#6500—21no—
278#6500—21no—
279#6500—21no—
280#6500—21no—
281#6500—21no—
282#6498—21no—
283D4×Dic7—21no—
284D4×Dic7—21no—
285#6493—21no—
286#6493—21no—
287#6493C2311yescharacteristic
288#6493C2311yescharacteristic
289#6493C2311yescharacteristic
290#6493C2311yescharacteristic
291#6493C2311yescharacteristic
292#6493C2311yescharacteristic
293#6493C2311yescharacteristic
294#6493C2311yescharacteristic
295#6493C2311yescharacteristic
296#6493C2311yescharacteristic
297#6493C2311yescharacteristic
298#6492—21no—
299C4×C22⋊D7—21no—
300C4×C22⋊D7—21no—
301C2×(C2×D7)⋊C4—21no—
302#6489C2311yescharacteristic
303#6489C2311yescharacteristic
304C2×C4⋊Dic7C2311yescharacteristic
305C2×C4⋊Dic7C2311yescharacteristic
306C2×C4⋊Dic7C2311yescharacteristic
307#6487—21no—
308#6487—21no—
309#6487C2311yescharacteristic
310#6487C2311yescharacteristic
311#6487C2311yescharacteristic
312#6487C2311yescharacteristic
313#6487C2311yescharacteristic
314#6487C2311yescharacteristic
315#6487C2311yescharacteristic
316#6487C2311yescharacteristic
317#6487C2311yescharacteristic
318C2×Dic7⋊C4—21no—
319#6472—42no—
320#6472—42no—
321#6471—42no—
322#6471—42no—
323#6471—42no—
324#6471—42no—
325C2×Dic28C2311yescharacteristic
326C2×Dic28C2311yescharacteristic
327C2×Dic28C2311yescharacteristic
328C2×Dic28C2311yescharacteristic
329#6467—42no—
330C2×D56C2311yescharacteristic
331C2×D56C2311yescharacteristic
332C2×D56C2311yescharacteristic
333C2×D56C2311yescharacteristic
334C2×D56C2311yescharacteristic
335C2×D56C2311yescharacteristic
336C2×#1132—42no—
337C2×#1132C2311yescharacteristic
338C2×#1132C2311yescharacteristic
339C2×#1132C2311yescharacteristic
340C2×#1132C2311yescharacteristic
341C2×#1132C2311yescharacteristic
342C2×#1132C2311yescharacteristic
343C2×#1132C2311yescharacteristic
344C2×#1132C2311yescharacteristic
345C2×#1132C2311yescharacteristic
346C2×#1132C2311yescharacteristic
347C2×#1132C2311yescharacteristic
348C2×#1132C2311yescharacteristic
349C2×#1132C2311yescharacteristic
350C2×#1132C2311yescharacteristic
351#6461—21no—
352#6461—21no—
353#6460—21no—
354#6460—21no—
355#6460—21no—
356#6459—21no—
357#6459—21no—
358#6459—21no—
359#6458—21no—
360#6457—21no—
361#6457—21no—
362#6457—21no—
363#6457—21no—
364#6457—21no—
365#6457—21no—
366#6456—21no—
367#6455—21no—
368#6455—21no—
369D7×C4⋊C4—21no—
370D7×C4⋊C4—21no—
371D7×C4⋊C4—21no—
372#6452—21no—
373#6451—21no—
374#6451—21no—
375#6449—21no—
376#6449—21no—
377#6449—21no—
378#6449—21no—
379#6448—21no—
380#6448—21no—
381#6448—21no—
382#6448—21no—
383#6448—21no—
384#6447—21no—
385#6447—21no—
386#6447—21no—
387#6447—21no—
388#6447—21no—
389#6447—21no—
390#6447—21no—
391#6447—21no—
392#6446—21no—
393#6446—21no—
394#6446—21no—
395#6446—21no—
396#6446—21no—
397#6446—21no—
398#6445—21no—
399#6445—21no—
400(C22⋊D7)⋊C4—21no—
401(C22⋊D7)⋊C4—21no—
402(C22⋊D7)⋊C4—21no—
403(C22⋊D7)⋊C4—21no—
404(C22⋊D7)⋊C4—21no—
405D7×C22⋊C4—21no—
406D7×C22⋊C4—21no—
407D7×C22⋊C4—21no—
408D7×C22⋊C4—21no—
409#6442—21no—
410#6441—21no—
411#6441—21no—
412#6441—21no—
413#6441—21no—
414#6440—21no—
415#6438C2311yescharacteristic
416#6438C2311yescharacteristic
417#6438C2311yescharacteristic
418#6437C2311yescharacteristic
419C4×D28C2311yescharacteristic
420C4×D28C2311yescharacteristic
421C4×D28C2311yescharacteristic
422C4×D28C2311yescharacteristic
423C4×D28C2311yescharacteristic
424#6433C2311yescharacteristic
425#6432C2311yescharacteristic
426#6432C2311yescharacteristic
427#6432C2311yescharacteristic
428C4×Dic14C2311yescharacteristic
429C4×Dic14C2311yescharacteristic
430C4×Dic14C2311yescharacteristic
431C7×C4⋊C8C2311yescharacteristic
432C7×C4⋊C8C2311yescharacteristic
433C7×C4⋊C8C2311yescharacteristic
434C7×C4⋊C8C2311yescharacteristic
435C7×C22⋊C8C2311yescharacteristic
436C7×C22⋊C8C2311yescharacteristic
437C7×C22⋊C8C2311yescharacteristic
438C7×C22⋊C8C2311yescharacteristic
439C7×C22⋊C8C2311yescharacteristic
440C7×C22⋊C8C2311yescharacteristic
441C7×C22⋊C8C2311yescharacteristic
442C7×C22⋊C8C2311yescharacteristic
443C7×C22⋊C8C2311yescharacteristic
444C7×C22⋊C8C2311yescharacteristic
445C7×C22⋊C8C2311yescharacteristic
446C7×C22⋊C8C2311yescharacteristic
447C7×#97C2311yescharacteristic
448C7×#97C2311yescharacteristic
449C4×C7×C8C2311yescharacteristic
450C4×C7×C8C2311yescharacteristic
451#6395C2311yescharacteristic
452#6395C2311yescharacteristic
453#6395C2311yescharacteristic
454#6395C2311yescharacteristic
455#6395C2311yescharacteristic
456#6395C2311yescharacteristic
457#6395C2311yescharacteristic
458#6395C2311yescharacteristic
459#6395C2311yescharacteristic
460#6395C2311yescharacteristic
461#6395C2311yescharacteristic
462#6395C2311yescharacteristic
463#6395C2311yescharacteristic
464#6395C2311yescharacteristic
465#6392C2311yescharacteristic
466#6392C2311yescharacteristic
467#6392C2311yescharacteristic
468#6392C2311yescharacteristic
469#6392C2311yescharacteristic
470#6392C2311yescharacteristic
471#6391C2311yescharacteristic
472#6391C2311yescharacteristic
473#6390C2311yescharacteristic
474#6390C2311yescharacteristic
475#6390C2311yescharacteristic
476#6390C2311yescharacteristic
477#6390C2311yescharacteristic
478#6390C2311yescharacteristic
479#6390C2311yescharacteristic
480#6390C2311yescharacteristic
481#6390C2311yescharacteristic
482#6390C2311yescharacteristic
483#6390C2311yescharacteristic
484#6390C2311yescharacteristic
485#6390C2311yescharacteristic
486#6390C2311yescharacteristic
487#6390C2311yescharacteristic
488#6390C2311yescharacteristic
489#6390C2311yescharacteristic
490#6390C2311yescharacteristic
491#3542—71no—
492#3489—71no—
493#3330—71no—
494#3329—71no—
495#3327—71no—
496#3322—71no—
497#3320—71no—
498#3319—71no—
499#3315—71no—
500#3308—71no—
501#3278—71no—
502#3275—71no—
503#3273—71no—
504#3272—71no—
505#3268—71no—
506#3267—71no—
507#3266—71no—
508#3265—71no—
509#3225—71no—
510#3221—71no—
511#3203—71no—
512#3198—71no—
513#3196—71no—
514#3193—71no—
515#3124—71no—
516#3119—71no—
517#3013—71no—
518#3010—71no—
519#3006—71no—
520#3005—71no—
521#2978D711yescharacteristic, complemented
522C24×C7C2×D411yescharacteristic
523C23×D7—21no—
524C23×D7—21no—
525C23×D7—21no—
526C7×#41—41no—
527C7×#41—41no—
528C2×C7×Q8C2×D411yescharacteristic
529C2×C7×D4C2×D411yescharacteristic
530C2×C7×D4C2×D411yescharacteristic
531C2×C7×D4C2×D411yescharacteristic
532C2×C7×D4C2×D411yescharacteristic
533C2×C7×D4C2×D411yescharacteristic
534C2×C7×D4C2×D411yescharacteristic
535C2×C7×D4C2×D411yescharacteristic
536C22×C4×C7—41no—
537C22×C4×C7—41no—
538C22×C4×C7C2×D411yescharacteristic
539C22×C4×C7C2×D411yescharacteristic
540C22×C4×C7C2×D411yescharacteristic
541C22×C4×C7C2411yescharacteristic
542C22×C4×C7C2411yescharacteristic
543C22×C4×C7C2411yescharacteristic
544C22×C4×C7C2411yescharacteristic
545C22×C4×C7C2411yescharacteristic
546C2×C22⋊D7—21no—
547C2×C22⋊D7—21no—
548C2×C22⋊D7—21no—
549C2×C22⋊D7—21no—
550C2×C22⋊D7—21no—
551C2×C22⋊D7—21no—
552C2×C22⋊D7—21no—
553C2×C22⋊D7—21no—
554C2×C22⋊D7—21no—
555C2×C22⋊D7—21no—
556C2×C22⋊D7—21no—
557C2×C22⋊D7—21no—
558C2×C22⋊D7—21no—
559C2×C22⋊D7—21no—
560C2×C22⋊D7—21no—
561C2×C22⋊D7—21no—
562C2×C22⋊D7—21no—
563C2×C22⋊D7—21no—
564C2×C22⋊D7—21no—
565C2×C22⋊D7—44no—
566C2×C22⋊D7—82no—
567C22×Dic7—21no—
568C22×Dic7—21no—
569C22×Dic7—21no—
570C22×Dic7—21no—
571C22×Dic7—21no—
572C22×Dic7—21no—
573C22×Dic7—21no—
574Q8×D7—44no—
575#1159—44no—
576#1159—44no—
577#1159—44no—
578#1159—82no—
579D4×D7—82no—
580#1157—22no—
581#1157—22no—
582#1157—22no—
583#1157—22no—
584#1157—22no—
585#1157—22no—
586#1157—41no—
587#1157—41no—
588#1157—41no—
589#1157—41no—
590#1157—41no—
591#1157—41no—
592#1157—41no—
593#1157—41no—
594#1157—41no—
595#1157—41no—
596#1157—44no—
597#1157—44no—
598C2×D28—22no—
599C2×D28—21no—
600C2×D28—21no—
601C2×D28—21no—
602C2×D28—21no—
603C2×D28—21no—
604C2×D28—41no—
605C2×D28—41no—
606C2×D28—41no—
607C2×D28—41no—
608C2×D28—41no—
609C2×D28C2411yescharacteristic
610C2×D28C2411yescharacteristic
611C2×D28C2411yescharacteristic
612C2×D28C2411yescharacteristic
613C2×D28C2411yescharacteristic
614C2×C4×D7—21no—
615C2×C4×D7—21no—
616C2×C4×D7—21no—
617C2×C4×D7—21no—
618C2×C4×D7—21no—
619C2×C4×D7—21no—
620C2×C4×D7—21no—
621C2×C4×D7—21no—
622C2×C4×D7—21no—
623C2×C4×D7—21no—
624C2×C4×D7—21no—
625C2×C4×D7—21no—
626C2×C4×D7—21no—
627C2×C4×D7—44no—
628C2×Dic14—22no—
629C2×Dic14—22no—
630C2×Dic14—22no—
631C2×Dic14—21no—
632C2×Dic14—21no—
633C2×Dic14—21no—
634C2×Dic14—21no—
635C2×Dic14—21no—
636C2×Dic14—41no—
637C2×Dic14—41no—
638C2×Dic14—41no—
639C2×Dic14—41no—
640C2×Dic14—41no—
641C2×Dic14C2411yescharacteristic
642C2×Dic14C2411yescharacteristic
643C2×Dic14C2411yescharacteristic
644C2×Dic14C2411yescharacteristic
645C2×Dic14C2411yescharacteristic
646C7×M16—41no—
647C7×M16—41no—
648C7×M16—41no—
649C7×M16—41no—
650C7×M16—41no—
651C7×M16—41no—
652C2×C7×C8—41no—
653C2×C7×C8—41no—
654C2×C7×C8C2411yescharacteristic
655C2×C7×C8C2411yescharacteristic
656C2×C7×C8C2411yescharacteristic
657C2×C7×C8C2411yescharacteristic
658C2×C7×C8C2411yescharacteristic
659C2×C7×C8C2411yescharacteristic
660C2×C7×C8C2411yescharacteristic
661C2×C7×C8C2411yescharacteristic
662C7×C4⋊C4C2×D411yescharacteristic
663C7×C4⋊C4C2×D411yescharacteristic
664C7×C4⋊C4C2×D411yescharacteristic
665C7×C4⋊C4C2×D411yescharacteristic
666C7×C4⋊C4C2×D411yescharacteristic
667C7×C4⋊C4C2×D411yescharacteristic
668C7×C22⋊C4C2×D411yescharacteristic
669C7×C22⋊C4C2×D411yescharacteristic
670C7×C22⋊C4C2×D411yescharacteristic
671C7×C22⋊C4C2×D411yescharacteristic
672C7×C22⋊C4C2×D411yescharacteristic
673C7×C22⋊C4C2×D411yescharacteristic
674C7×C22⋊C4C2×D411yescharacteristic
675C7×C22⋊C4C2×D411yescharacteristic
676C7×C22⋊C4C2×D411yescharacteristic
677C7×C22⋊C4C2×D411yescharacteristic
678C42×C7C2411yescharacteristic
679C42×C7C2411yescharacteristic
680C22⋊Dic7—21no—
681C22⋊Dic7—21no—
682C22⋊Dic7—21no—
683C22⋊Dic7—21no—
684C22⋊Dic7—21no—
685C22⋊Dic7—21no—
686C22⋊Dic7—21no—
687C22⋊Dic7—21no—
688C22⋊Dic7—21no—
689C22⋊Dic7—21no—
690C22⋊Dic7—21no—
691(C2×D7)⋊C4—21no—
692(C2×D7)⋊C4—21no—
693(C2×D7)⋊C4—21no—
694(C2×D7)⋊C4—21no—
695(C2×D7)⋊C4—21no—
696(C2×D7)⋊C4—21no—
697(C2×D7)⋊C4—21no—
698(C2×D7)⋊C4—21no—
699(C2×D7)⋊C4—21no—
700(C2×D7)⋊C4—21no—
701(C2×D7)⋊C4—21no—
702(C2×D7)⋊C4—21no—
703(C2×D7)⋊C4—21no—
704(C2×D7)⋊C4—21no—
705(C2×D7)⋊C4—21no—
706(C2×D7)⋊C4—21no—
707(C2×D7)⋊C4—21no—
708(C2×D7)⋊C4—21no—
709(C2×D7)⋊C4—21no—
710(C2×D7)⋊C4—21no—
711(C2×D7)⋊C4—21no—
712(C2×D7)⋊C4—21no—
713C4⋊Dic7—21no—
714C4⋊Dic7—21no—
715C4⋊Dic7—21no—
716C4⋊Dic7—21no—
717C4⋊Dic7—21no—
718C4⋊Dic7—21no—
719C4⋊Dic7—21no—
720C4⋊Dic7—21no—
721C4⋊Dic7C2411yescharacteristic
722C4⋊Dic7C2411yescharacteristic
723C4⋊Dic7C2411yescharacteristic
724C4⋊Dic7C2411yescharacteristic
725C4⋊Dic7C2411yescharacteristic
726C4⋊Dic7C2411yescharacteristic
727Dic7⋊C4—21no—
728Dic7⋊C4—21no—
729Dic7⋊C4—21no—
730Dic7⋊C4—21no—
731Dic7⋊C4—21no—
732Dic7⋊C4—21no—
733Dic7⋊C4—21no—
734Dic7⋊C4—21no—
735Dic7⋊C4—21no—
736Dic7⋊C4—21no—
737Dic7⋊C4—21no—
738Dic7⋊C4—21no—
739Dic7⋊C4—21no—
740Dic7⋊C4—21no—
741C4×Dic7—21no—
742C4×Dic7—21no—
743C4×Dic7—21no—
744C4×Dic7—21no—
745C4×Dic7—21no—
746Dic28—22no—
747Dic28—41no—
748Dic28—41no—
749Dic28—41no—
750D56—22no—
751D56—22no—
752D56—22no—
753D56—41no—
754D56—41no—
755D56—41no—
756#1132—22no—
757#1132—22no—
758#1132—22no—
759#1132—22no—
760#1132—41no—
761#1132—41no—
762#1132—41no—
763#1132—41no—
764#1132—41no—
765#1132—41no—
766#1132—41no—
767#1132—41no—
768#1132—41no—
769#1132—41no—
770C2×2−1+4—71no—
771C22×#41—71no—
772C2×#137—71no—
773C2×#137—71no—
774C2×AGL(1,ℤ/8)—71no—
775C2×AGL(1,ℤ/8)—71no—
776C2×AGL(1,ℤ/8)—71no—
777C2×AGL(1,ℤ/8)—71no—
778C2×#135—71no—
779C22×SD16—71no—
780#562—141no—
781#560—141no—
782#555—71no—
783#553—71no—
784#552—71no—
785#551—141no—
786#550—71no—
787D4×Q8—71no—
788D4×Q8—71no—
789#548—71no—
790#548—71no—
791#547—71no—
792#547—71no—
793#547—71no—
794#547—141no—
795#547—141no—
796#546—71no—
797#546—71no—
798#546—71no—
799#546—71no—
800#546—141no—
801#546—141no—
802#546—141no—
803D42—71no—
804#542—71no—
805#540—71no—
806#540—141no—
807#538—141no—
808#537—71no—
809#537—71no—
810#537—141no—
811#536—71no—
812#536—141no—
813#535—71no—
814#535—141no—
815#534—141no—
816#525—71no—
817#525—141no—
818#525C2×D711yescharacteristic
819C2×C22⋊Q8—71no—
820C2×C22⋊Q8—141no—
821C2×#121—71no—
822#520—71no—
823#497—71no—
824#496—71no—
825#495—71no—
826#492—71no—
827#491—71no—
828#489—71no—
829#488—71no—
830#487—71no—
831#485—71no—
832#485—71no—
833#485—71no—
834#484—71no—
835#484—71no—
836#484—71no—
837#484—71no—
838#482—71no—
839#481—71no—
840#480—71no—
841#480—71no—
842#480—71no—
843#479—71no—
844#478—71no—
845#477—71no—
846#474—71no—
847#470—71no—
848#470—71no—
849#469—71no—
850#468—71no—
851#468—71no—
852#468—71no—
853#468—71no—
854#468—71no—
855#468—71no—
856#468—71no—
857#468—71no—
858#468—71no—
859#467—71no—
860#466—71no—
861#466—71no—
862#465—71no—
863#464—71no—
864#464—71no—
865#463—71no—
866#463—71no—
867#463—71no—
868#463—71no—
869#462—71no—
870#461—71no—
871#461—71no—
872#461—71no—
873#460—71no—
874#459—71no—
875#452—71no—
876#452—71no—
877#452—71no—
878#452—71no—
879#452—71no—
880#452—71no—
881#452—71no—
882#452—71no—
883#451—71no—
884#451—71no—
885#450—71no—
886#450—71no—
887#450—71no—
888#449—71no—
889#449—71no—
890#449—71no—
891#449—71no—
892#449—71no—
893#449—71no—
894#449—71no—
895#449—71no—
896#449—71no—
897#449—71no—
898#449—71no—
899#449—71no—
900#448—71no—
901#448—71no—
902#448—71no—
903#448—71no—
904#448—71no—
905#448—71no—
906#448—71no—
907#448—71no—
908#447—71no—
909#447—71no—
910#447—71no—
911#442—71no—
912#440—71no—
913#440—71no—
914#440—71no—
915C4×Q16—71no—
916C4×SD16—71no—
917C4×D8—71no—
918C4×D8—71no—
919#436C2×D711yescharacteristic, complemented
920#436C2×D711yescharacteristic, complemented
921#436C2×D711yescharacteristic, complemented
922#436C2×D711yescharacteristic, complemented
923#435C2×D711yescharacteristic, complemented
924#435C2×D711yescharacteristic, complemented
925#435C2×D711yescharacteristic, complemented
926#435C2×D711yescharacteristic, complemented
927#433C2×D711yescharacteristic, complemented
928#433C2×D711yescharacteristic, complemented
929#419—71no—
930#419—71no—
931#418—71no—
932#417—71no—
933#417—71no—
934#417—71no—
935#416—71no—
936C2×#103—71no—
937#408C2×D711yescharacteristic, complemented
938#408C2×D711yescharacteristic, complemented
939#407C2×D711yescharacteristic, complemented
940#407C2×D711yescharacteristic, complemented
941C23×C7—41no—
942C23×C7—41no—
943C23×C7—41no—
944C23×C7C22×D411yescharacteristic
945C23×C7C22×D411yescharacteristic
946C23×C7C22×D411yescharacteristic
947C23×C7C22×D411yescharacteristic
948C23×C7C22×D411yescharacteristic
949C22×D7—21no—
950C22×D7—21no—
951C22×D7—21no—
952C22×D7—21no—
953C22×D7—21no—
954C22×D7—42no—
955C22×D7—42no—
956C22×D7—42no—
957C22×D7—81no—
958C22×D7—81no—
959C22×D7—81no—
960C22×D7—81no—
961C22×D7—81no—
962C22×D7—81no—
963C7×Q8—41no—
964C7×D4—41no—
965C7×D4—41no—
966C7×D4—41no—
967C7×D4—41no—
968C7×D4—41no—
969C7×D4—41no—
970C7×D4—41no—
971C2×C4×C7—21no—
972C2×C4×C7—21no—
973C2×C4×C7—21no—
974C2×C4×C7—21no—
975C2×C4×C7—21no—
976C2×C4×C7—21no—
977C2×C4×C7—21no—
978C2×C4×C7—21no—
979C2×C4×C7—21no—
980C2×C4×C7—21no—
981C2×C4×C7—41no—
982C2×C4×C7—41no—
983C2×C4×C7—41no—
984C2×C4×C7C22×D411yescharacteristic
985C2×C4×C7C22×D411yescharacteristic
986C2×C4×C7C22×D411yescharacteristic
987C2×C4×C7C22×D411yescharacteristic
988C2×C4×C7C22×D411yescharacteristic
989C2×C4×C7C22×D411yescharacteristic
990C2×C4×C7C22×D411yescharacteristic
991C2×C4×C7C22×D411yescharacteristic
992C2×C4×C7C22×D411yescharacteristic
993C2×C4×C7C2511yescharacteristic
994C22⋊D7—24no—
995C22⋊D7—42no—
996C22⋊D7—42no—
997C22⋊D7—42no—
998C22⋊D7—42no—
999C22⋊D7—42no—
1000C22⋊D7—42no—
1001C22⋊D7—81no—
1002C22⋊D7—81no—
1003C22⋊D7—81no—
1004C22⋊D7—81no—
1005C22⋊D7—81no—
1006C22⋊D7—81no—
1007C22⋊D7—81no—
1008C22⋊D7—81no—
1009C22⋊D7—81no—
1010C22⋊D7—81no—
1011C22⋊D7—81no—
1012C22⋊D7—81no—
1013C2×Dic7—21no—
1014C2×Dic7—21no—
1015C2×Dic7—21no—
1016C2×Dic7—21no—
1017C2×Dic7—21no—
1018C2×Dic7—21no—
1019C2×Dic7—21no—
1020C2×Dic7—21no—
1021C2×Dic7—21no—
1022C2×Dic7—21no—
1023C2×Dic7—21no—
1024C2×Dic7—42no—
1025C2×Dic7—42no—
1026C2×Dic7—42no—
1027C2×Dic7—42no—
1028C2×Dic7—42no—
1029C2×Dic7—81no—
1030C2×Dic7—81no—
1031D28—21no—
1032D28—21no—
1033D28—21no—
1034D28—21no—
1035D28—21no—
1036D28—21no—
1037D28—21no—
1038D28—21no—
1039D28—21no—
1040D28—42no—
1041D28—81no—
1042D28—81no—
1043D28—81no—
1044D28—81no—
1045D28H(5,𝔽2)12yes—
1046C4×D7—24no—
1047C4×D7—42no—
1048C4×D7—42no—
1049C4×D7—42no—
1050C4×D7—42no—
1051C4×D7—42no—
1052C4×D7—81no—
1053C4×D7—81no—
1054C4×D7—81no—
1055C4×D7—81no—
1056C4×D7—81no—
1057C4×D7—81no—
1058C4×D7—81no—
1059Dic14—21no—
1060Dic14—21no—
1061Dic14—21no—
1062Dic14—21no—
1063Dic14—21no—
1064Dic14—21no—
1065Dic14—21no—
1066Dic14—21no—
1067Dic14—21no—
1068Dic14—42no—
1069Dic14—42no—
1070Dic14—42no—
1071Dic14—42no—
1072Dic14—81no—
1073Dic14H(5,𝔽2)12yes—
1074C7×C8—21no—
1075C7×C8—21no—
1076C7×C8—21no—
1077C7×C8—21no—
1078C7×C8—21no—
1079C7×C8—21no—
1080C7×C8—21no—
1081C7×C8—21no—
10822−1+4—282no—
10832−1+4—282no—
1084C2×#41—71no—
1085C2×#41—71no—
1086C2×#41—71no—
1087C2×#41—71no—
1088C2×#41—71no—
1089C2×#41—71no—
1090C2×#41—71no—
1091C2×#41—71no—
1092C2×#41—141no—
1093C2×#41—141no—
1094C2×#41—141no—
1095C2×#41—141no—
1096C2×#41—141no—
1097C2×#41—141no—
1098C2×#41—282no—
1099C2×#41—282no—
1100C2×#41C22×D711yescharacteristic
1101C22×Q8—71no—
1102C22×Q8—71no—
1103C22×Q8—71no—
1104C22×Q8—71no—
1105C22×Q8—141no—
1106C22×D4—71no—
1107C22×D4—71no—
1108C22×D4—71no—
1109C22×D4—141no—
1110C22×D4—141no—
1111C22×D4—141no—
1112C23×C4—141no—
1113C23×C4C22×D711yescharacteristic
1114#137—282no—
1115#137—282no—
1116AGL(1,ℤ/8)—282no—
1117AGL(1,ℤ/8)—282no—
1118AGL(1,ℤ/8)—282no—
1119AGL(1,ℤ/8)—282no—
1120#135—282no—
1121C2×Q16—71no—
1122C2×Q16—71no—
1123C2×Q16—71no—
1124C2×Q16—71no—
1125C2×SD16—71no—
1126C2×SD16—71no—
1127C2×SD16—71no—
1128C2×SD16—71no—
1129C2×SD16—71no—
1130C2×SD16—71no—
1131C2×SD16—71no—
1132C2×SD16—71no—
1133C2×SD16—71no—
1134C2×SD16—71no—
1135C2×SD16—71no—
1136C2×SD16—71no—
1137C2×SD16—71no—
1138C2×SD16—71no—
1139C2×SD16—282no—
1140C2×D8—71no—
1141C2×D8—71no—
1142C2×D8—71no—
1143C2×D8—71no—
1144C2×D8—71no—
1145C2×D8—71no—
1146C2×M16C22×D711yescharacteristic
1147C2×M16C22×D711yescharacteristic
1148C2×M16C22×D711yescharacteristic
1149C2×M16C22×D711yescharacteristic
1150C2×M16C22×D711yescharacteristic
1151C2×M16C22×D711yescharacteristic
1152C22×C8C22×D711yescharacteristic
1153C22×C8C22×D711yescharacteristic
1154C4⋊Q8—71no—
1155C4⋊Q8—71no—
1156C4⋊Q8—71no—
1157C4⋊Q8—141no—
1158C4⋊Q8—141no—
1159#127—71no—
1160#127—141no—
1161#127—141no—
1162#126—141no—
1163#126—141no—
1164#126—141no—
1165#125—71no—
1166#125—141no—
1167#124—71no—
1168#124—71no—
1169#124—71no—
1170#124—141no—
1171#124—141no—
1172#124—141no—
1173#124—141no—
1174#124—141no—
1175#124—141no—
1176#123—141no—
1177#123—141no—
1178#123—141no—
1179#123—141no—
1180#123—141no—
1181#123—141no—
1182#123—141no—
1183#123—141no—
1184#123—141no—
1185#123—141no—
1186#123—141no—
1187#123—141no—
1188#123—141no—
1189#123—141no—
1190#123—141no—
1191#123—141no—
1192#123—141no—
1193#123—141no—
1194#123D2811yescharacteristic
1195#123D2811yescharacteristic
1196C22⋊Q8—71no—
1197C22⋊Q8—71no—
1198C22⋊Q8—71no—
1199C22⋊Q8—71no—
1200C22⋊Q8—71no—
1201C22⋊Q8—71no—
1202C22⋊Q8—71no—
1203C22⋊Q8—71no—
1204C22⋊Q8—71no—
1205C22⋊Q8—141no—
1206C22⋊Q8—141no—
1207C22⋊Q8—141no—
1208C22⋊Q8—141no—
1209C22⋊Q8—141no—
1210C22⋊Q8—141no—
1211C22⋊Q8—141no—
1212C22⋊Q8—141no—
1213C22⋊Q8—141no—
1214C22⋊Q8—141no—
1215C22⋊Q8—141no—
1216C22⋊Q8—141no—
1217C22⋊Q8—141no—
1218C22⋊Q8—141no—
1219C22⋊Q8D2811yescharacteristic
1220C22⋊Q8D2811yescharacteristic
1221#121—71no—
1222#121—71no—
1223#121—71no—
1224#121—71no—
1225#121—71no—
1226#121—71no—
1227#121—71no—
1228#121—71no—
1229#121—71no—
1230#121—71no—
1231#121—71no—
1232#121—141no—
1233#121—141no—
1234#121—141no—
1235#121—141no—
1236#121—141no—
1237#121—141no—
1238#121—141no—
1239#121—141no—
1240#121—141no—
1241#121—141no—
1242#121—141no—
1243#121—141no—
1244#121—141no—
1245#121—141no—
1246#121—141no—
1247#121—141no—
1248#121—141no—
1249#121—141no—
1250#121—141no—
1251#121—141no—
1252#121—141no—
1253#121—141no—
1254#121—141no—
1255#121D2811yescharacteristic
1256#121D2811yescharacteristic
1257#120—141no—
1258#120—141no—
1259#120—141no—
1260#120—141no—
1261#120—141no—
1262#120—141no—
1263#120—141no—
1264#120—141no—
1265#120—141no—
1266#120D2811yescharacteristic
1267#120D2811yescharacteristic
1268C4×Q8—71no—
1269C4×Q8—71no—
1270C4×Q8—71no—
1271C4×D4—71no—
1272C4×D4—71no—
1273C4×D4—71no—
1274C4×D4—71no—
1275C4×D4—71no—
1276C4×D4—141no—
1277C4×D4—141no—
1278C4×D4—141no—
1279C4×D4—141no—
1280C4×D4—141no—
1281C4×D4—141no—
1282C4×D4—141no—
1283C4×D4—141no—
1284C4×D4—141no—
1285C4×D4—141no—
1286C4×D4C22×D711yescharacteristic
1287C4×D4C22×D711yescharacteristic
1288C4×D4C22×D711yescharacteristic
1289C4×D4C22×D711yescharacteristic
1290#117—71no—
1291#117—71no—
1292#117—141no—
1293#117—141no—
1294#117—141no—
1295#117C22×D711yescharacteristic
1296C2×C4⋊C4—71no—
1297C2×C4⋊C4—71no—
1298C2×C4⋊C4—71no—
1299C2×C4⋊C4—141no—
1300C2×C4⋊C4—141no—
1301C2×C4⋊C4—141no—
1302C2×C4⋊C4—141no—
1303C2×C22⋊C4—141no—
1304C2×C22⋊C4—141no—
1305C2×C22⋊C4—141no—
1306C2×C22⋊C4—141no—
1307C2×C22⋊C4—141no—
1308C2×C22⋊C4—141no—
1309#107—71no—
1310#107—71no—
1311#107—71no—
1312#107—71no—
1313#107—71no—
1314#107—71no—
1315#106—71no—
1316#106—71no—
1317C4⋊C8C22×D711yescharacteristic
1318C4⋊C8C22×D711yescharacteristic
1319C4⋊C8C22×D711yescharacteristic
1320C4⋊C8C22×D711yescharacteristic
1321#103—71no—
1322#103—71no—
1323#103—71no—
1324#103—71no—
1325#103—71no—
1326#103—71no—
1327#103—71no—
1328#103—71no—
1329#103—71no—
1330#103—71no—
1331#103—71no—
1332#103—71no—
1333#103—71no—
1334#103—71no—
1335#103—71no—
1336#103—71no—
1337#103—71no—
1338#103—71no—
1339#102—71no—
1340#102—71no—
1341#102—71no—
1342#102—71no—
1343#102—71no—
1344#102—71no—
1345#102—71no—
1346#102—71no—
1347#102—71no—
1348#102—71no—
1349#102—71no—
1350#102—71no—
1351#102—71no—
1352#102—71no—
1353C22⋊C8C22×D711yescharacteristic
1354C22⋊C8C22×D711yescharacteristic
1355C22⋊C8C22×D711yescharacteristic
1356C22⋊C8C22×D711yescharacteristic
1357C22⋊C8C22×D711yescharacteristic
1358C22⋊C8C22×D711yescharacteristic
1359C22⋊C8C22×D711yescharacteristic
1360C22⋊C8C22×D711yescharacteristic
1361C22⋊C8C22×D711yescharacteristic
1362C22⋊C8C22×D711yescharacteristic
1363C22⋊C8C22×D711yescharacteristic
1364C22⋊C8C22×D711yescharacteristic
1365#97C22×D711yescharacteristic
1366#97C22×D711yescharacteristic
1367C4×C8C22×D711yescharacteristic
1368C4×C8C22×D711yescharacteristic
1369C22×C7—21no—
1370C22×C7—21no—
1371C22×C7—21no—
1372C22×C7—21no—
1373C22×C7—21no—
1374C22×C7—21no—
1375C22×C7—21no—
1376C22×C7—21no—
1377C22×C7—21no—
1378C22×C7—21no—
1379C22×C7—21no—
1380C22×C7—21no—
1381C22×C7—21no—
1382C22×C7—21no—
1383C22×C7—21no—
1384C22×C7—82no—
1385C22×C7C23×D411yescharacteristic
1386C2×D7—22no—
1387C2×D7—41no—
1388C2×D7—41no—
1389C2×D7—41no—
1390C2×D7—41no—
1391C2×D7—41no—
1392C2×D7—41no—
1393C2×D7—41no—
1394C2×D7—41no—
1395C2×D7—41no—
1396C2×D7—41no—
1397C2×D7—41no—
1398C2×D7—41no—
1399C2×D7—41no—
1400C2×D7—41no—
1401C2×D7—84no—
1402C2×D7—162no—
1403C2×D7—162no—
1404C4×C7—21no—
1405C4×C7—21no—
1406C4×C7—21no—
1407C4×C7—21no—
1408C4×C7—21no—
1409C4×C7—21no—
1410C4×C7—21no—
1411C4×C7—21no—
1412C4×C7—21no—
1413C4×C7C2×H(5,𝔽2)11yescharacteristic
1414C4×C7C2×H(5,𝔽2)11yescharacteristic
1415Dic7—22no—
1416Dic7—41no—
1417Dic7—41no—
1418Dic7—41no—
1419Dic7—41no—
1420Dic7—41no—
1421Dic7—41no—
1422Dic7—41no—
1423Dic7—41no—
1424Dic7—41no—
1425Dic7—41no—
1426C24—141no—
1427C24—141no—
1428C24—141no—
1429C24C2×D2811yescharacteristic
1430#41—41no—
1431#41—41no—
1432#41—142no—
1433#41—142no—
1434#41—142no—
1435#41—142no—
1436#41—142no—
1437#41—142no—
1438#41—281no—
1439#41—281no—
1440#41—281no—
1441#41—281no—
1442#41—281no—
1443#41—281no—
1444#41—281no—
1445#41—281no—
1446#41—281no—
1447#41—281no—
1448#41—284no—
1449#41—284no—
1450#41—284no—
1451#41—284no—
1452#41—284no—
1453#41—562no—
1454C2×Q8—71no—
1455C2×Q8—71no—
1456C2×Q8—71no—
1457C2×Q8—71no—
1458C2×Q8—71no—
1459C2×Q8—142no—
1460C2×Q8—142no—
1461C2×Q8—142no—
1462C2×Q8—141no—
1463C2×Q8—141no—
1464C2×Q8—141no—
1465C2×Q8—141no—
1466C2×Q8—141no—
1467C2×Q8—281no—
1468C2×Q8—281no—
1469C2×Q8—281no—
1470C2×Q8—281no—
1471C2×Q8—281no—
1472C2×Q8—284no—
1473C2×Q8C2×D2811yescharacteristic
1474C2×D4—71no—
1475C2×D4—71no—
1476C2×D4—71no—
1477C2×D4—71no—
1478C2×D4—71no—
1479C2×D4—142no—
1480C2×D4—141no—
1481C2×D4—141no—
1482C2×D4—141no—
1483C2×D4—141no—
1484C2×D4—141no—
1485C2×D4—141no—
1486C2×D4—141no—
1487C2×D4—141no—
1488C2×D4—141no—
1489C2×D4—141no—
1490C2×D4—141no—
1491C2×D4—141no—
1492C2×D4—141no—
1493C2×D4—141no—
1494C2×D4—141no—
1495C2×D4—141no—
1496C2×D4—141no—
1497C2×D4—141no—
1498C2×D4—141no—
1499C2×D4—141no—
1500C2×D4—141no—
1501C2×D4—141no—
1502C2×D4—141no—
1503C2×D4—141no—
1504C2×D4—281no—
1505C2×D4—281no—
1506C2×D4—281no—
1507C2×D4—281no—
1508C2×D4—281no—
1509C2×D4—284no—
1510C2×D4—562no—
1511C2×D4—562no—
1512C2×D4C2×D2811yescharacteristic
1513C2×D4C2×D2811yescharacteristic
1514C2×D4C2×D2811yescharacteristic
1515C2×D4C2×D2811yescharacteristic
1516C2×D4C2×D2811yescharacteristic
1517C2×D4C2×D2811yescharacteristic
1518C2×D4C2×D2811yescharacteristic
1519C22×C4—41no—
1520C22×C4—41no—
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—284no—
1542C22×C4C2×D2811yescharacteristic
1543C22×C4C2×D2811yescharacteristic
1544C22×C4C2×D2811yescharacteristic
1545C22×C4C23×D711yescharacteristic
1546C22×C4C23×D711yescharacteristic
1547C22×C4C23×D711yescharacteristic
1548C22×C4C23×D711yescharacteristic
1549C22×C4C23×D711yescharacteristic
1550Q16—142no—
1551Q16—281no—
1552Q16—281no—
1553Q16—281no—
1554SD16—142no—
1555SD16—142no—
1556SD16—142no—
1557SD16—142no—
1558SD16—281no—
1559SD16—281no—
1560SD16—281no—
1561SD16—281no—
1562SD16—281no—
1563SD16—281no—
1564SD16—281no—
1565SD16—281no—
1566SD16—281no—
1567SD16—281no—
1568D8—142no—
1569D8—142no—
1570D8—142no—
1571D8—281no—
1572D8—281no—
1573D8—281no—
1574M16—41no—
1575M16—41no—
1576M16—41no—
1577M16—41no—
1578M16—41no—
1579M16—41no—
1580C2×C8—41no—
1581C2×C8—41no—
1582C2×C8C23×D711yescharacteristic
1583C2×C8C23×D711yescharacteristic
1584C2×C8C23×D711yescharacteristic
1585C2×C8C23×D711yescharacteristic
1586C2×C8C23×D711yescharacteristic
1587C2×C8C23×D711yescharacteristic
1588C2×C8C23×D711yescharacteristic
1589C2×C8C23×D711yescharacteristic
1590C4⋊C4—71no—
1591C4⋊C4—71no—
1592C4⋊C4—71no—
1593C4⋊C4—71no—
1594C4⋊C4—71no—
1595C4⋊C4—71no—
1596C4⋊C4—141no—
1597C4⋊C4—141no—
1598C4⋊C4—141no—
1599C4⋊C4—141no—
1600C4⋊C4—141no—
1601C4⋊C4—141no—
1602C4⋊C4—141no—
1603C4⋊C4—141no—
1604C4⋊C4—141no—
1605C4⋊C4—141no—
1606C4⋊C4—141no—
1607C4⋊C4—141no—
1608C4⋊C4—141no—
1609C4⋊C4—141no—
1610C4⋊C4—141no—
1611C4⋊C4—141no—
1612C4⋊C4—141no—
1613C4⋊C4—141no—
1614C4⋊C4—141no—
1615C4⋊C4—141no—
1616C4⋊C4—141no—
1617C4⋊C4—141no—
1618C4⋊C4C2×D2811yescharacteristic
1619C4⋊C4C2×D2811yescharacteristic
1620C4⋊C4C2×D2811yescharacteristic
1621C4⋊C4C2×D2811yescharacteristic
1622C4⋊C4C2×D2811yescharacteristic
1623C4⋊C4C2×D2811yescharacteristic
1624C22⋊C4—141no—
1625C22⋊C4—141no—
1626C22⋊C4—141no—
1627C22⋊C4—141no—
1628C22⋊C4—141no—
1629C22⋊C4—141no—
1630C22⋊C4—141no—
1631C22⋊C4—141no—
1632C22⋊C4—141no—
1633C22⋊C4—141no—
1634C22⋊C4—141no—
1635C22⋊C4—141no—
1636C22⋊C4—141no—
1637C22⋊C4—141no—
1638C22⋊C4—141no—
1639C22⋊C4—141no—
1640C22⋊C4—141no—
1641C22⋊C4—141no—
1642C22⋊C4—141no—
1643C22⋊C4—141no—
1644C22⋊C4—141no—
1645C22⋊C4—141no—
1646C22⋊C4—141no—
1647C22⋊C4—141no—
1648C22⋊C4—141no—
1649C22⋊C4—141no—
1650C22⋊C4—141no—
1651C22⋊C4—141no—
1652C22⋊C4—141no—
1653C22⋊C4—141no—
1654C22⋊C4—141no—
1655C22⋊C4—141no—
1656C22⋊C4—141no—
1657C22⋊C4C2×D2811yescharacteristic
1658C22⋊C4C2×D2811yescharacteristic
1659C22⋊C4C2×D2811yescharacteristic
1660C22⋊C4C2×D2811yescharacteristic
1661C22⋊C4C2×D2811yescharacteristic
1662C22⋊C4C2×D2811yescharacteristic
1663C22⋊C4C2×D2811yescharacteristic
1664C22⋊C4C2×D2811yescharacteristic
1665C22⋊C4C2×D2811yescharacteristic
1666C22⋊C4C2×D2811yescharacteristic
1667C42—141no—
1668C42—141no—
1669C42—141no—
1670C42—141no—
1671C42—141no—
1672C42C23×D711yescharacteristic
1673C42C23×D711yescharacteristic
1674C2×C7—41no—
1675C2×C7—41no—
1676C2×C7—41no—
1677C2×C7—41no—
1678C2×C7—41no—
1679C2×C7#348411yescharacteristic
1680C2×C7#358511yescharacteristic
1681C2×C7#358611yescharacteristic
1682D7—42no—
1683D7—81no—
1684D7—81no—
1685D7—81no—
1686D7—81no—
1687C23—41no—
1688C23—41no—
1689C23—41no—
1690C23—141no—
1691C23—141no—
1692C23—141no—
1693C23—141no—
1694C23—141no—
1695C23—282no—
1696C23—282no—
1697C23—282no—
1698C23—561no—
1699C23—561no—
1700C23—561no—
1701C23—561no—
1702C23—561no—
1703C23—561no—
1704C23C22×D2811yescharacteristic
1705C23C22×D2811yescharacteristic
1706C23C22×D2811yescharacteristic
1707C23C22×D2811yescharacteristic
1708C23C22×D2811yescharacteristic
1709Q8—41no—
1710Q8—72no—
1711Q8—141no—
1712Q8—141no—
1713Q8—141no—
1714Q8—141no—
1715Q8—141no—
1716Q8—141no—
1717Q8—141no—
1718Q8—141no—
1719Q8—141no—
1720Q8—282no—
1721Q8—282no—
1722Q8—282no—
1723Q8—282no—
1724Q8—561no—
1725D4—41no—
1726D4—41no—
1727D4—41no—
1728D4—41no—
1729D4—41no—
1730D4—41no—
1731D4—41no—
1732D4—72no—
1733D4—144no—
1734D4—141no—
1735D4—141no—
1736D4—141no—
1737D4—141no—
1738D4—141no—
1739D4—141no—
1740D4—141no—
1741D4—141no—
1742D4—141no—
1743D4—282no—
1744D4—282no—
1745D4—282no—
1746D4—282no—
1747D4—282no—
1748D4—282no—
1749D4—282no—
1750D4—561no—
1751D4—561no—
1752D4—561no—
1753D4—561no—
1754D4—561no—
1755D4—561no—
1756D4—561no—
1757D4—561no—
1758D4—561no—
1759D4—561no—
1760D4—561no—
1761D4—561no—
1762D4—561no—
1763D4—561no—
1764D4—561no—
1765D4—561no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—144no—
1780C2×C4—141no—
1781C2×C4—141no—
1782C2×C4—141no—
1783C2×C4—141no—
1784C2×C4—141no—
1785C2×C4—141no—
1786C2×C4—141no—
1787C2×C4—141no—
1788C2×C4—141no—
1789C2×C4—141no—
1790C2×C4—141no—
1791C2×C4—282no—
1792C2×C4—282no—
1793C2×C4—282no—
1794C2×C4—282no—
1795C2×C4—282no—
1796C2×C4—282no—
1797C2×C4—282no—
1798C2×C4—282no—
1799C2×C4—282no—
1800C2×C4—282no—
1801C2×C4—561no—
1802C2×C4—561no—
1803C2×C4—561no—
1804C2×C4—561no—
1805C2×C4—561no—
1806C2×C4—561no—
1807C2×C4—561no—
1808C2×C4—561no—
1809C2×C4—561no—
1810C2×C4C22×D2811yescharacteristic
1811C2×C4C22×D2811yescharacteristic
1812C2×C4C22×D2811yescharacteristic
1813C2×C4C22×D2811yescharacteristic
1814C2×C4C22×D2811yescharacteristic
1815C2×C4C22×D2811yescharacteristic
1816C2×C4C22×D2811yescharacteristic
1817C2×C4C22×D2811yescharacteristic
1818C2×C4C22×D2811yescharacteristic
1819C2×C4C24×D711yescharacteristic
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—21no—
1827C8—21no—
1828C7#6165611yescharacteristic, complemented, Sylow
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—82no—
1845C22—142no—
1846C22—281no—
1847C22—281no—
1848C22—281no—
1849C22—281no—
1850C22—281no—
1851C22—281no—
1852C22—281no—
1853C22—281no—
1854C22—281no—
1855C22—281no—
1856C22—281no—
1857C22—281no—
1858C22—281no—
1859C22—281no—
1860C22—564no—
1861C22—1122no—
1862C22—1122no—
1863C22C23×D2811yescharacteristic
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—142no—
1874C4—281no—
1875C4—281no—
1876C4—281no—
1877C4—281no—
1878C4—281no—
1879C4—281no—
1880C4—281no—
1881C4—281no—
1882C4—281no—
1883C4—281no—
1884C4D7×H(5,𝔽2)11yescharacteristic
1885C4D7×H(5,𝔽2)11yescharacteristic
1886C2—41no—
1887C2—41no—
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—282no—
1892C2—561no—
1893C2—561no—
1894C2—561no—
1895C2—561no—
1896C2#1174293511yescharacteristic
1897C2#1174423511yescharacteristic
1898C2#1174423611yescharacteristic
subgroupG/H
centerC22C23×D28
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#2978C2
socleC22×C7C23×D4
hypercenter#2978D7
hypocenterC7#61656
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ #525 ◁ #2978

Complements

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

NH ≅ G/Ntype
1. #11743110C2semidirect
2. #11743101C2semidirect
3. C7×#2978C2semidirect
4. #11737009C2semidirect
5. #11737007C2semidirect
6. #11737005C2semidirect
7. #11737002C2semidirect
8. #11736998C2semidirect
9. #11736996C2semidirect
10. #11736994C2semidirect
11. #11736993C2semidirect
12. #11736960C2semidirect
13. #11736954C2semidirect
14. #11736951C2semidirect
15. #11736949C2semidirect
16. #11736942C2semidirect
17. #11736941C2semidirect
18. #11736940C2semidirect
19. #11736939C2semidirect
20. #11736842C2semidirect
21. #11736838C2semidirect
22. #11736833C2semidirect
23. #11736829C2semidirect
24. #11736125C2semidirect
25. #11736123C2semidirect
26. #11736121C2semidirect
27. #11736118C2semidirect
28. #11736092C2semidirect
29. #11736087C2semidirect
30. #11736084C2semidirect
31. #11736083C2semidirect
32. C2×#6554C22semidirect
33. C22×#1157C22semidirect
35. #90524C22semidirect
36. #90524C22semidirect
37. #90521C22semidirect
40. C2×#6487C22semidirect
41. C2×#6472C22semidirect
42. C2×#6472C22semidirect
45. C2×#6471C22semidirect
46. C2×#6471C22semidirect
47. C2×#6467C22semidirect
48. C22×#1132C22semidirect
67. #90246C22semidirect
70. #90243C22semidirect
72. #90242C22semidirect
74. #90241C22semidirect
75. #90241C22semidirect
76. #90241C22semidirect
77. D4×D28C22semidirect
78. #90232C22semidirect
79. D4×Dic14C22semidirect
80. D4×Dic14C22semidirect
81. #90226C22semidirect
82. #90225C22semidirect
83. #90217C22semidirect
84. #90214C22semidirect
85. C7×#436C22semidirect
86. C7×#436C22semidirect
87. C7×#436C22semidirect
88. C7×#436C22semidirect
89. C7×#435C22semidirect
90. C7×#435C22semidirect
91. C7×#435C22semidirect
92. C7×#435C22semidirect
93. C7×#433C22semidirect
94. C7×#433C22semidirect
95. C7×#408C22semidirect
96. C7×#408C22semidirect
97. C7×#407C22semidirect
98. C7×#407C22semidirect
99. #89909C22semidirect
100. #89909C22semidirect
101. #89907C22semidirect
104. #89906C22semidirect
105. #89906C22semidirect
106. #89906C22semidirect
107. #89906C22semidirect
108. #89906C22semidirect
109. #89906C22semidirect
110. #89906C22semidirect
111. #89905C22semidirect
112. #89905C22semidirect
113. #89905C22semidirect
114. #89903C22semidirect
115. #89892C22semidirect
116. #89892C22semidirect
117. #89888C22semidirect
118. #89887C22semidirect
119. #89887C22semidirect
120. #89886C22semidirect
121. #89885C22semidirect
122. C2×#6390C22semidirect
123. #89622C22semidirect
124. #89621C22semidirect
125. #89620C22semidirect
126. #89619C22semidirect
127. #89618C22semidirect
128. #89617C22semidirect
129. #89617C22semidirect
130. #89616C22semidirect
131. #89616C22semidirect
132. #89616C22semidirect
133. #89616C22semidirect
134. #89615C22semidirect
135. #89613C22semidirect
136. #89613C22semidirect
137. #89613C22semidirect
138. #89601C22semidirect
139. #89511C22semidirect
140. #89511C22semidirect
142. #89510C22semidirect
143. #89510C22semidirect
144. #89510C22semidirect
145. #89510C22semidirect
146. #89510C22semidirect
147. #89510C22semidirect
148. #89510C22semidirect
149. #89509C22semidirect
150. #89508C22semidirect
151. #89508C22semidirect
152. #89508C22semidirect
153. #89507C22semidirect
158. #89506C22semidirect
159. #89506C22semidirect
160. #89506C22semidirect
161. #89506C22semidirect
162. #89506C22semidirect
163. #89506C22semidirect
164. #89506C22semidirect
165. #89506C22semidirect
166. #89505C22semidirect
167. #89505C22semidirect
168. #89505C22semidirect
169. #89505C22semidirect
170. #89505C22semidirect
171. #89505C22semidirect
172. #89505C22semidirect
173. #89505C22semidirect
175. #89504C22semidirect
176. #89504C22semidirect
177. #89503C22semidirect
178. #89503C22semidirect
179. #89503C22semidirect
180. #89495C22semidirect
181. #89495C22semidirect
182. #89495C22semidirect
183. #89494C22semidirect
184. #89494C22semidirect
185. #89494C22semidirect
186. #89494C22semidirect
187. #89487C22semidirect
188. #89486C22semidirect
189. #89484C22semidirect
190. #89483C22semidirect
191. #89482C22semidirect
192. #89482C22semidirect
193. #89482C22semidirect
194. #89475C22semidirect
195. C4×Dic28C22semidirect
196. #89469C22semidirect
197. #89468C22semidirect
198. #89465C22semidirect
199. C4×D56C22semidirect
200. C4×D56C22semidirect
201. C4×#1132C22semidirect
202. #89453C22semidirect
521. #2978D7semidirect
919. #436C2×D7semidirect
920. #436C2×D7semidirect
921. #436C2×D7semidirect
922. #436C2×D7semidirect
923. #435C2×D7semidirect
924. #435C2×D7semidirect
925. #435C2×D7semidirect
926. #435C2×D7semidirect
927. #433C2×D7semidirect
928. #433C2×D7semidirect
937. #408C2×D7semidirect
938. #408C2×D7semidirect
939. #407C2×D7semidirect
940. #407C2×D7semidirect
1828. C7#61656semidirect

Maximal subgroups

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

subgroupindex
#117431102
#117431012
C7×#29782
#117370092
#117370072
#117370052
#117370022
#117369982
#117369962
#117369942
#117369932
#117369602
#117369542
#117369512
#117369492
#117369422
#117369412
#117369402
#117369392
#117368422
#117368382
#117368332
#117368292
#117361252
#117361232
#117361212
#117361182
#117360922
#117360872
#117360842
#117360832
#616567