Finite Group Databasebeta

← #14249554

Subgroups — #14249554

Order 1792.

1974 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11743900C211yesmaximal, characteristic, complemented
2D4×#1159C211yesmaximal, characteristic
3C7×#3310C211yesmaximal, characteristic, complemented
4#11741037C211yesmaximal, characteristic, complemented
5#11740929C211yesmaximal, characteristic, complemented
6#11739167C211yesmaximal, characteristic, complemented
7#11739154C211yesmaximal, characteristic, complemented
8#11738812C211yesmaximal, characteristic, complemented
9#11738803C211yesmaximal, characteristic, complemented
10#11738738C211yesmaximal, characteristic, complemented
11#11738719C211yesmaximal, characteristic, complemented
12#11738611C211yesmaximal, characteristic, complemented
13#11738604C211yesmaximal, characteristic, complemented
14#11738246C211yesmaximal, characteristic, complemented
15#11738239C211yesmaximal, characteristic, complemented
16#11738096C211yesmaximal, characteristic, complemented
17#11738085C211yesmaximal, characteristic, complemented
18#11737817C211yesmaximal, characteristic, complemented
19#11737812C211yesmaximal, characteristic, complemented
20#11737610C211yesmaximal, characteristic, complemented
21#11737605C211yesmaximal, characteristic, complemented
22#11737579C211yesmaximal, characteristic, complemented
23#11737577C211yesmaximal, characteristic, complemented
24#11737224C211yesmaximal, characteristic, complemented
25#11737205C211yesmaximal, characteristic, complemented
26#11736914C211yesmaximal, characteristic, complemented
27#11736906C211yesmaximal, characteristic, complemented
28#11736385C211yesmaximal, characteristic, complemented
29#11736362C211yesmaximal, characteristic, complemented
30#11736207C211yesmaximal, characteristic, complemented
31C2×#89531C211yesmaximal, characteristic, complemented
32C22×#1159—21no—
33C7×#552C2211yescharacteristic, complemented
34C7×D42C2211yescharacteristic
35#90497—21no—
36D4×C22⋊D7C2211yescharacteristic
37D4×C22⋊D7C2211yescharacteristic
38C2×D4×Dic7C2211yescharacteristic
39C2×D4×Dic7C2211yescharacteristic
40#90409C2211yescharacteristic
41#90407C2211yescharacteristic
42#90393—21no—
43#90392—21no—
44#90387—21no—
45#90379C2211yescharacteristic, complemented
46#90376—21no—
47#90376C2211yescharacteristic, complemented
48#90341—21no—
49#90339—21no—
50#90333C2211yescharacteristic, complemented
51#90332C2211yescharacteristic, complemented
52#90313C2211yescharacteristic, complemented
53#90313C2211yescharacteristic, complemented
54#90302C2211yescharacteristic
55#90302C2211yescharacteristic
56#90297—21no—
57#90289—21no—
58#90287C2211yescharacteristic
59#90287C2211yescharacteristic
60#90282—21no—
61#90282—21no—
62#90277—21no—
63#90277—21no—
64#90269C2211yescharacteristic, complemented
65#90260C2211yescharacteristic, complemented
66#90246C2211yescharacteristic
67C4×D4×D7C2211yescharacteristic
68#90232C2211yescharacteristic, complemented
69D4×Dic14C2211yescharacteristic
70C4×#1159C2211yescharacteristic
71#90224C2211yescharacteristic, complemented
72#90222—21no—
73#90208C2211yescharacteristic, complemented
74#90207—21no—
75#90204C2211yescharacteristic, complemented
76C2×#6451C2211yescharacteristic, complemented
77C7×#490C2211yescharacteristic, complemented
78C7×#482C2211yescharacteristic, complemented
79C7×#480C2211yescharacteristic, complemented
80C7×#478C2211yescharacteristic
81C7×#468C2211yescharacteristic, complemented
82C7×#465C2211yescharacteristic, complemented
83C7×#460C2211yescharacteristic, complemented
84C7×#450C2211yescharacteristic
85C7×#450C2211yescharacteristic
86C7×#440C2211yescharacteristic
87C7×#435C2211yescharacteristic, complemented
88C7×#418C2211yescharacteristic
89C2×C7×#102C2211yescharacteristic
90#89990C2211yescharacteristic
91#89990C2211yescharacteristic
92#89987C2211yescharacteristic
93C2×#6406C2211yescharacteristic
94#89946C2211yescharacteristic, complemented
95#89946C2211yescharacteristic, complemented
96#89941C2211yescharacteristic
97#89936C2211yescharacteristic
98#89936C2211yescharacteristic, complemented
99#89935C2211yescharacteristic, complemented
100#89935C2211yescharacteristic, complemented
101#89934C2211yescharacteristic
102#89934C2211yescharacteristic, complemented
103#89934C2211yescharacteristic, complemented
104SD16×Dic7C2211yescharacteristic
105SD16×Dic7C2211yescharacteristic, complemented
106#89906C2211yescharacteristic, complemented
107#89900C2211yescharacteristic, complemented
108#89893C2211yescharacteristic, complemented
109#89890C2211yescharacteristic, complemented
110#89886C2211yescharacteristic, complemented
111#89883C2211yescharacteristic, complemented
112C2×#6392C2211yescharacteristic, complemented
113C2×Dic7⋊C8C2211yescharacteristic, complemented
114#89847C2211yescharacteristic, complemented
115#89843C2211yescharacteristic, complemented
116#89838C2211yescharacteristic, complemented
117#89837C2211yescharacteristic, complemented
118#89821C2211yescharacteristic, complemented
119#89820C2211yescharacteristic, complemented
120#89816C2211yescharacteristic, complemented
121#89815C2211yescharacteristic, complemented
122#89814C2211yescharacteristic, complemented
123#89813C2211yescharacteristic, complemented
124#89807C2211yescharacteristic, complemented
125#89805C2211yescharacteristic, complemented
126#89798C2211yescharacteristic, complemented
127#89793C2211yescharacteristic, complemented
128#89790C2211yescharacteristic
129#89783C2211yescharacteristic, complemented
130#89781C2211yescharacteristic
131#89775C2211yescharacteristic, complemented
132#89767C2211yescharacteristic, complemented
133#89739C2211yescharacteristic, complemented
134C2×#6381C2211yescharacteristic, complemented
135#89662C2211yescharacteristic, complemented
136#89662C2211yescharacteristic, complemented
137#89656C2211yescharacteristic, complemented
138#89653C2211yescharacteristic, complemented
139#89648C2211yescharacteristic, complemented
140#89647C2211yescharacteristic, complemented
141#89646C2211yescharacteristic, complemented
142#89646C2211yescharacteristic, complemented
143#89642C2211yescharacteristic, complemented
144#89633C2211yescharacteristic, complemented
145#89628C2211yescharacteristic, complemented
146#89626C2211yescharacteristic, complemented
147#89622C2211yescharacteristic, complemented
148#89619C2211yescharacteristic, complemented
149#89609C2211yescharacteristic, complemented
150#89600C2211yescharacteristic, complemented
151#89590C2211yescharacteristic, complemented
152#89581C2211yescharacteristic, complemented
153#89566C2211yescharacteristic, complemented
154#89563C2211yescharacteristic, complemented
155#89556C2211yescharacteristic, complemented
156#89556C2211yescharacteristic, complemented
157#89552C2211yescharacteristic, complemented
158#89552C2211yescharacteristic, complemented
159#89551C2211yescharacteristic, complemented
160#89551C2211yescharacteristic, complemented
161#89548C2211yescharacteristic
162#89542C2211yescharacteristic
163#89542C2211yescharacteristic
164#89538C2211yescharacteristic
165#89538C2211yescharacteristic, complemented
166#89536C2211yescharacteristic, complemented
167#89536C2211yescharacteristic, complemented
168#89535C2211yescharacteristic
169#89535C2211yescharacteristic, complemented
170#89534C2211yescharacteristic, complemented
171#89534C2211yescharacteristic, complemented
172#89533C2211yescharacteristic
173#89533C2211yescharacteristic, complemented
174#89533C2211yescharacteristic, complemented
175#89532C2211yescharacteristic, complemented
176#89532C2211yescharacteristic, complemented
177#89531C2211yescharacteristic
178#89531C2211yescharacteristic
179#89531C2211yescharacteristic
180#89531C2211yescharacteristic
181#89531C2211yescharacteristic, complemented
182#89531C2211yescharacteristic, complemented
183#89531C2211yescharacteristic, complemented
184#89531C2211yescharacteristic, complemented
185#89531C2211yescharacteristic, complemented
186#89531C2211yescharacteristic, complemented
187#89530C2211yescharacteristic
188#89530C2211yescharacteristic, complemented
189#89529C2211yescharacteristic
190#89529C2211yescharacteristic, complemented
191#89509C2211yescharacteristic, complemented
192#89508C2211yescharacteristic, complemented
193#89502C2211yescharacteristic, complemented
194#89501C2211yescharacteristic, complemented
195#89494C2211yescharacteristic, complemented
196#89493C2211yescharacteristic, complemented
197#89491C2211yescharacteristic, complemented
198#89490C2211yescharacteristic, complemented
199#89482C2211yescharacteristic, complemented
200#89477C2211yescharacteristic, complemented
201#89474C2211yescharacteristic, complemented
202#89473C2211yescharacteristic, complemented
203#62109—71nomaximal, Sylow
204C22×C7×D4—21no—
205C22×C7×D4C2311yescharacteristic
206C22×C7×D4C2311yescharacteristic
207C22×C22⋊D7—21no—
208C22×C22⋊D7—21no—
209C23×Dic7—21no—
210C23×Dic7—21no—
211C2×#1159—21no—
212C2×#1159—21no—
213C2×#1159—21no—
214C2×#1159—21no—
215C2×#1159—21no—
216C2×#1159—21no—
217C2×#1159—21no—
218C2×#1159—48no—
219C2×#1159D411yescharacteristic
220C2×D4×D7C2311yescharacteristic
221C22×C4×D7—21no—
222C22×Dic14—21no—
223C22×Dic14—21no—
224C2×C7×SD16C2311yescharacteristic
225C2×C7×SD16C2311yescharacteristic
226C2×C7×SD16C2311yescharacteristic
227C2×C7×M16C2311yescharacteristic
228C22×C7×C8C2311yescharacteristic
229C7×#127C2311yescharacteristic
230C7×#126—21no—
231C7×#125—21no—
232C7×#125C2311yescharacteristic
233C7×#123—21no—
234C7×C22⋊Q8C2311yescharacteristic
235C7×C22⋊Q8C2311yescharacteristic
236C7×#121—21no—
237C7×#121C2311yescharacteristic
238C7×#121C2311yescharacteristic
239C7×#120—21no—
240C7×#120—21no—
241C4×C7×Q8C2311yescharacteristic
242C4×C7×D4C2311yescharacteristic
243C4×C7×D4C2311yescharacteristic
244C7×#117—21no—
245C7×#117C2311yescharacteristic
246C2×C7×C4⋊C4C2311yescharacteristic
247#6516—21no—
248#6516—21no—
249C2×C22⋊Dic7—21no—
250C2×C22⋊Dic7—21no—
251#6509C2311yescharacteristic
252Q8×Dic7C2311yescharacteristic
253Q8×Dic7C2311yescharacteristic
254#6507C2311yescharacteristic
255C2×#1143C2311yescharacteristic
256#6503C2311yescharacteristic
257#6503C2311yescharacteristic
258#6502—21no—
259#6502—21no—
260#6502—21no—
261#6502—21no—
262#6502—21no—
263#6502—21no—
264#6501—21no—
265#6501—21no—
266#6501C2311yescharacteristic
267#6501C2311yescharacteristic
268#6500—21no—
269#6500—21no—
270#6499—21no—
271#6498—21no—
272#6498—21no—
273#6498—21no—
274D4×Dic7—21no—
275D4×Dic7—21no—
276D4×Dic7—21no—
277D4×Dic7—21no—
278D4×Dic7—21no—
279D4×Dic7D411yescharacteristic
280D4×Dic7C2311yescharacteristic
281D4×Dic7C2311yescharacteristic
282D4×Dic7C2311yescharacteristic
283D4×Dic7C2311yescharacteristic
284D4×Dic7C2311yescharacteristic
285D4×Dic7C2311yescharacteristic
286D4×Dic7C2311yescharacteristic
287C2×#1142C2311yescharacteristic
288C2×#1142C2311yescharacteristic
289C2×#1142C2311yescharacteristic
290#6493C2311yescharacteristic
291#6493C2311yescharacteristic
292#6492—21no—
293C4×C22⋊D7—21no—
294C4×C22⋊D7C2311yescharacteristic
295C4×C22⋊D7C2311yescharacteristic
296#6489—21no—
297#6489C2311yescharacteristic
298C2×C4⋊Dic7C2311yescharacteristic
299C2×C4⋊Dic7C2311yescharacteristic
300C2×C4⋊Dic7C2311yescharacteristic
301#6487—21no—
302#6487C2311yescharacteristic
303#6487C2311yescharacteristic
304C2×Dic7⋊C4—21no—
305C2×C4×Dic7C2311yescharacteristic
306C2×C4×Dic7C2311yescharacteristic
307C2×#1136C2311yescharacteristic
308C22×C7⋊C8C2311yescharacteristic
309C2×#1132C2311yescharacteristic
310C2×#1131C2311yescharacteristic
311C2×#1131C2311yescharacteristic
312#6461—21no—
313#6461—21no—
314#6461—21no—
315#6460—21no—
316#6460C2311yescharacteristic
317#6459—21no—
318#6459—21no—
319#6459—21no—
320#6456C2311yescharacteristic
321#6455D411yescharacteristic
322#6455C2311yescharacteristic
323#6455C2311yescharacteristic
324D7×C4⋊C4C2311yescharacteristic
325#6453—21no—
326#6453—21no—
327#6453C2311yescharacteristic
328#6453C2311yescharacteristic
329#6452—21no—
330#6452—21no—
331#6452—21no—
332#6452—21no—
333#6452—21no—
334#6452—21no—
335#6452—21no—
336#6451—21no—
337#6451—21no—
338#6451—21no—
339#6451—21no—
340#6451C2311yescharacteristic
341#6451C2311yescharacteristic
342#6451C2311yescharacteristic
343#6451C2311yescharacteristic
344#6451C2311yescharacteristic
345#6451C2311yescharacteristic
346#6451C2311yescharacteristic
347#6450—21no—
348#6450—21no—
349#6450—21no—
350#6450—21no—
351#6450—21no—
352#6450—21no—
353#6450D411yescharacteristic
354#6450C2311yescharacteristic
355#6450C2311yescharacteristic
356#6449—21no—
357#6449—21no—
358#6449—21no—
359#6448—21no—
360#6448—21no—
361#6448—21no—
362#6448—21no—
363#6446—21no—
364#6446—21no—
365(C22⋊D7)⋊C4—21no—
366(C22⋊D7)⋊C4—21no—
367(C22⋊D7)⋊C4—21no—
368(C22⋊D7)⋊C4D411yescharacteristic
369(C22⋊D7)⋊C4D411yescharacteristic
370D7×C22⋊C4—21no—
371#6442—21no—
372#6442—21no—
373#6442—21no—
374#6441—21no—
375#6441—21no—
376#6441—21no—
377#6441—21no—
378#6441—21no—
379#6441—21no—
380#6441—21no—
381#6441—21no—
382#6440—21no—
383#6440—21no—
384#6440—21no—
385#6440—21no—
386#6440D411yescharacteristic
387#6440D411yescharacteristic
388#6439—21no—
389C4×D28C2311yescharacteristic
390#6435—21no—
391C42×D7C2311yescharacteristic
392#6433—21no—
393#6433C2311yescharacteristic
394#6432C2311yescharacteristic
395C4×Dic14—21no—
396C4×Dic14—21no—
397C4×Dic14—21no—
398C4×Dic14—21no—
399C4×Dic14—21no—
400C4×Dic14C2311yescharacteristic
401C4×Dic14C2311yescharacteristic
402C7×#107C2311yescharacteristic
403C7×#107C2311yescharacteristic
404C7×#106C2311yescharacteristic
405C7×C4⋊C8C2311yescharacteristic
406C7×#103C2311yescharacteristic
407C7×#102C2311yescharacteristic
408C7×#102C2311yescharacteristic
409C7×#102C2311yescharacteristic
410C7×#102C2311yescharacteristic
411C7×#102C2311yescharacteristic
412C7×#102C2311yescharacteristic
413C7×#102C2311yescharacteristic
414C7×#102C2311yescharacteristic
415C7×#102C2311yescharacteristic
416C7×C22⋊C8C2311yescharacteristic
417C7×C22⋊C8C2311yescharacteristic
418C7×#97C2311yescharacteristic
419#6409C2311yescharacteristic
420#6409C2311yescharacteristic
421#6409C2311yescharacteristic
422#6406C2311yescharacteristic
423#6406C2311yescharacteristic
424#6406C2311yescharacteristic
425#6406C2311yescharacteristic
426#6406C2311yescharacteristic
427#6406C2311yescharacteristic
428#6406C2311yescharacteristic
429#6406C2311yescharacteristic
430#6406C2311yescharacteristic
431C22⋊(C7⋊C8)C2311yescharacteristic
432C22⋊(C7⋊C8)C2311yescharacteristic
433#6395C2311yescharacteristic
434#6395C2311yescharacteristic
435#6395C2311yescharacteristic
436(C2×D7)⋊C8C2311yescharacteristic
437(C2×D7)⋊C8C2311yescharacteristic
438#6392C2311yescharacteristic
439#6392C2311yescharacteristic
440#6392C2311yescharacteristic
441#6392C2311yescharacteristic
442#6392C2311yescharacteristic
443#6392C2311yescharacteristic
444#6391C2311yescharacteristic
445#6391C2311yescharacteristic
446#6391C2311yescharacteristic
447#6390C2311yescharacteristic
448#6390C2311yescharacteristic
449#6390C2311yescharacteristic
450#6389C2311yescharacteristic
451#6389C2311yescharacteristic
452Dic7⋊C8C2311yescharacteristic
453Dic7⋊C8C2311yescharacteristic
454Dic7⋊C8C2311yescharacteristic
455Dic7⋊C8C2311yescharacteristic
456Dic7⋊C8C2311yescharacteristic
457Dic7⋊C8C2311yescharacteristic
458Dic7⋊C8C2311yescharacteristic
459Dic7⋊C8C2311yescharacteristic
460C8×Dic7C2311yescharacteristic
461C8×Dic7C2311yescharacteristic
462#6384C2311yescharacteristic
463#6383C2311yescharacteristic
464#6383C2311yescharacteristic
465#6383C2311yescharacteristic
466#6382C2311yescharacteristic
467#6382C2311yescharacteristic
468#6382C2311yescharacteristic
469#6382C2311yescharacteristic
470#6381C2311yescharacteristic
471#6381C2311yescharacteristic
472#6381C2311yescharacteristic
473#6381C2311yescharacteristic
474#6381C2311yescharacteristic
475#6381C2311yescharacteristic
476#6381C2311yescharacteristic
477#6381C2311yescharacteristic
478C4⋊(C7⋊C8)C2311yescharacteristic
479#6377C2311yescharacteristic
480#3509—71no—
481D4×#41—71no—
482#3386—71no—
483#3386—71no—
484#3368—71no—
485#3368—71no—
486#3353—71no—
487#3353—71no—
488#3343—71no—
489#3343—71no—
490#3343—71no—
491#3343—71no—
492#3324—71no—
493#3324—71no—
494#3310—71no—
495#3310—71no—
496#3310—71no—
497#3310D711yescharacteristic, complemented
498#3254—71no—
499#3254—71no—
500#3246—71no—
501#3235—71no—
502#3235—71no—
503#3226—71no—
504#3110—71no—
505#3110—71no—
506#3101—71no—
507#3077—71no—
508#3077—71no—
509C2×#474—71no—
510#2989—71no—
511C24×C7—21no—
512C24×C7—21no—
513C23×D7—21no—
514C2×C7×Q8C2411yescharacteristic
515C2×C7×D4—22no—
516C2×C7×D4—22no—
517C2×C7×D4—21no—
518C2×C7×D4—21no—
519C2×C7×D4—21no—
520C2×C7×D4—21no—
521C2×C7×D4—21no—
522C2×C7×D4—21no—
523C2×C7×D4—41no—
524C2×C7×D4—41no—
525C2×C7×D4—44no—
526C2×C7×D4C2×D411yescharacteristic
527C2×C7×D4C2411yescharacteristic
528C2×C7×D4C2411yescharacteristic
529C2×C7×D4C2411yescharacteristic
530C22×C4×C7—21no—
531C22×C4×C7—21no—
532C22×C4×C7C2411yescharacteristic
533C22×C4×C7C2411yescharacteristic
534C2×C22⋊D7—21no—
535C2×C22⋊D7—21no—
536C2×C22⋊D7—21no—
537C2×C22⋊D7—21no—
538C2×C22⋊D7—21no—
539C2×C22⋊D7—21no—
540C2×C22⋊D7—21no—
541C2×C22⋊D7—21no—
542C2×C22⋊D7—21no—
543C2×C22⋊D7—44no—
544C2×C22⋊D7—44no—
545C2×C22⋊D7C2×D411yescharacteristic
546C2×C22⋊D7C2×D411yescharacteristic
547C22×Dic7—21no—
548C22×Dic7—21no—
549C22×Dic7—21no—
550C22×Dic7—21no—
551C22×Dic7—21no—
552C22×Dic7—21no—
553C22×Dic7—21no—
554C22×Dic7—21no—
555C22×Dic7—21no—
556C22×Dic7—21no—
557C22×Dic7—44no—
558C22×Dic7—44no—
559C22×Dic7C2×D411yescharacteristic
560C22×Dic7C2×D411yescharacteristic
561C22×Dic7C2×D411yescharacteristic
562C22×Dic7C2×D411yescharacteristic
563#1159—24no—
564#1159—44no—
565#1159—44no—
566#1159—44no—
567#1159—44no—
568#1159—44no—
569#1159—44no—
570#1159—44no—
571D4×D7—22no—
572D4×D7—41no—
573C2×D28C2411yescharacteristic
574C2×C4×D7—21no—
575C2×C4×D7—21no—
576C2×C4×D7—21no—
577C2×C4×D7—44no—
578C2×C4×D7C2×D411yescharacteristic
579C2×C4×D7C2×D411yescharacteristic
580C2×C4×D7C2411yescharacteristic
581C2×Dic14—21no—
582C2×Dic14—21no—
583C2×Dic14—21no—
584C2×Dic14—21no—
585C2×Dic14—21no—
586C2×Dic14—21no—
587C2×Dic14—21no—
588C2×Dic14—21no—
589C2×Dic14—44no—
590C2×Dic14—44no—
591C2×Dic14C2×D411yescharacteristic
592C2×Dic14C2411yescharacteristic
593C7×SD16—22no—
594C7×SD16—41no—
595C7×SD16—41no—
596C7×M16—41no—
597C2×C7×C8—41no—
598C2×C7×C8C2411yescharacteristic
599C2×C7×C8C2411yescharacteristic
600C2×C7×C8C2411yescharacteristic
601C2×C7×C8C2411yescharacteristic
602C7×C4⋊C4—21no—
603C7×C4⋊C4—21no—
604C7×C4⋊C4—21no—
605C7×C4⋊C4—21no—
606C7×C4⋊C4—21no—
607C7×C4⋊C4—21no—
608C7×C4⋊C4C2×D411yescharacteristic
609C7×C4⋊C4C2411yescharacteristic
610C7×C4⋊C4C2411yescharacteristic
611C7×C4⋊C4C2411yescharacteristic
612C7×C4⋊C4C2411yescharacteristic
613C7×C22⋊C4—21no—
614C7×C22⋊C4—21no—
615C7×C22⋊C4—21no—
616C7×C22⋊C4—21no—
617C7×C22⋊C4—21no—
618C7×C22⋊C4—21no—
619C7×C22⋊C4C2×D411yescharacteristic
620C7×C22⋊C4C2×D411yescharacteristic
621C42×C7—21no—
622C42×C7—21no—
623C42×C7C2411yescharacteristic
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⋊Dic7C2×D411yescharacteristic
637C22⋊Dic7C2×D411yescharacteristic
638#1143—41no—
639#1142—22no—
640#1142—41no—
641#1142—41no—
642(C2×D7)⋊C4—21no—
643(C2×D7)⋊C4—21no—
644(C2×D7)⋊C4—21no—
645(C2×D7)⋊C4—21no—
646(C2×D7)⋊C4—21no—
647(C2×D7)⋊C4—21no—
648(C2×D7)⋊C4—21no—
649(C2×D7)⋊C4—21no—
650(C2×D7)⋊C4C2×D411yescharacteristic
651(C2×D7)⋊C4C2×D411yescharacteristic
652C4⋊Dic7—21no—
653C4⋊Dic7—21no—
654C4⋊Dic7—21no—
655C4⋊Dic7—21no—
656C4⋊Dic7—21no—
657C4⋊Dic7—21no—
658C4⋊Dic7—21no—
659C4⋊Dic7—21no—
660C4⋊Dic7—21no—
661C4⋊Dic7C2×D411yescharacteristic
662C4⋊Dic7C2411yescharacteristic
663C4⋊Dic7C2411yescharacteristic
664C4⋊Dic7C2411yescharacteristic
665C4⋊Dic7C2411yescharacteristic
666C4⋊Dic7C2411yescharacteristic
667C4⋊Dic7C2411yescharacteristic
668Dic7⋊C4—21no—
669Dic7⋊C4—21no—
670Dic7⋊C4—21no—
671Dic7⋊C4—21no—
672Dic7⋊C4—21no—
673Dic7⋊C4—21no—
674Dic7⋊C4—21no—
675Dic7⋊C4—21no—
676Dic7⋊C4—21no—
677Dic7⋊C4—21no—
678Dic7⋊C4—21no—
679Dic7⋊C4—21no—
680Dic7⋊C4—21no—
681Dic7⋊C4—21no—
682Dic7⋊C4—21no—
683Dic7⋊C4—21no—
684Dic7⋊C4—21no—
685Dic7⋊C4—21no—
686Dic7⋊C4—21no—
687Dic7⋊C4—21no—
688Dic7⋊C4C2×D411yescharacteristic
689Dic7⋊C4C2×D411yescharacteristic
690Dic7⋊C4C2×D411yescharacteristic
691Dic7⋊C4C2×D411yescharacteristic
692C4×Dic7—21no—
693C4×Dic7—21no—
694C4×Dic7—21no—
695C4×Dic7—21no—
696C4×Dic7—21no—
697C4×Dic7—21no—
698C4×Dic7—21no—
699C4×Dic7—21no—
700C4×Dic7C2×D411yescharacteristic
701C4×Dic7C2×D411yescharacteristic
702C4×Dic7C2×D411yescharacteristic
703C4×Dic7C2×D411yescharacteristic
704C4×Dic7C2×D411yescharacteristic
705C4×Dic7C2×D411yescharacteristic
706C4×Dic7C2411yescharacteristic
707C4×Dic7C2411yescharacteristic
708C4×Dic7C2411yescharacteristic
709#1136—41no—
710C2×C7⋊C8—41no—
711C2×C7⋊C8C2411yescharacteristic
712C2×C7⋊C8C2411yescharacteristic
713C2×C7⋊C8C2411yescharacteristic
714C2×C7⋊C8C2411yescharacteristic
715#1132—41no—
716#1131—41no—
717#1131—41no—
718C22×#41—141no—
719#557—71no—
720#557—71no—
721#557—141no—
722#556—71no—
723#556—71no—
724#556—141no—
725#552—71no—
726#552—71no—
727#552—71no—
728#552—141no—
729#552—141no—
730#552C2×D711yescharacteristic, complemented
731#550—71no—
732D4×Q8—71no—
733#548—141no—
734#547—71no—
735#547—71no—
736#547—71no—
737#546—141no—
738#546—141no—
739#546—141no—
740D42—71no—
741D42—71no—
742D42C2×D711yescharacteristic
743#541—141no—
744#541—141no—
745#536—141no—
746#533—71no—
747#533—71no—
748#533—71no—
749#533—71no—
750#533—71no—
751#532—71no—
752#532—71no—
753#532—71no—
754C2×C4⋊Q8—71no—
755#525—141no—
756#525—141no—
757#525—141no—
758#519—141no—
759C4×#41—71no—
760C2×C4×D4—71no—
761C2×C4×D4—71no—
762C2×C4×D4—71no—
763#501—71no—
764#501—71no—
765#501—71no—
766#501—71no—
767#500—71no—
768#500—71no—
769#490—71no—
770#490—71no—
771#490—71no—
772#490C2×D711yescharacteristic, complemented
773#486—71no—
774#486—71no—
775#484—71no—
776#484—71no—
777#484—71no—
778#484—71no—
779#483—71no—
780#483—71no—
781#482—71no—
782#482—71no—
783#482—71no—
784#482—71no—
785#482—71no—
786#482—71no—
787#482—71no—
788#482C2×D711yescharacteristic, complemented
789#480—71no—
790#480—71no—
791#480—71no—
792#480C2×D711yescharacteristic, complemented
793#478—71no—
794#478—71no—
795#478—71no—
796#478—71no—
797#478—71no—
798#478—71no—
799#478—71no—
800#478C2×D711yescharacteristic
801#477—71no—
802#477—71no—
803#477—71no—
804#477—71no—
805#476—71no—
806#476—71no—
807#476—71no—
808#476—71no—
809#475—71no—
810#475—71no—
811#474—71no—
812#474—71no—
813#474—71no—
814#474—71no—
815#474—71no—
816#474—71no—
817#474—71no—
818#474—71no—
819#474—71no—
820#474—71no—
821#474—71no—
822#474—71no—
823#468—71no—
824#468—71no—
825#468—71no—
826#468—71no—
827#468—71no—
828#468—71no—
829#468—71no—
830#468C2×D711yescharacteristic, complemented
831#465—71no—
832#465—71no—
833#465—71no—
834#465C2×D711yescharacteristic, complemented
835#461—71no—
836#461—71no—
837#461—71no—
838#461—71no—
839#460—71no—
840#460—71no—
841#460—71no—
842#460—71no—
843#460—71no—
844#460C2×D711yescharacteristic, complemented
845#450—71no—
846#450—71no—
847#450—71no—
848#450—71no—
849#450C2×D711yescharacteristic
850#450C2×D711yescharacteristic
851#446—71no—
852#446—71no—
853#440—71no—
854#440—71no—
855#440—71no—
856#440—71no—
857#440—71no—
858#440—71no—
859#440—71no—
860#440C2×D711yescharacteristic
861C4×SD16—71no—
862C4×SD16—71no—
863C4×SD16—71no—
864C4×SD16—71no—
865#436—71no—
866#436—71no—
867#435—71no—
868#435—71no—
869#435—71no—
870#435C2×D711yescharacteristic, complemented
871#432—71no—
872#432—71no—
873#431—71no—
874#428—71no—
875#428—71no—
876#428—71no—
877#428—71no—
878C2×#107—71no—
879C2×#107—71no—
880#423—71no—
881#423—71no—
882C2×C4⋊C8—71no—
883#418—71no—
884#418—71no—
885#418—71no—
886#418C2×D711yescharacteristic
887C2×#102—71no—
888C2×#102C2×D711yescharacteristic
889C23×C7—21no—
890C23×C7—21no—
891C23×C7—21no—
892C23×C7—42no—
893C23×C7—42no—
894C23×C7—42no—
895C23×C7—42no—
896C23×C7—81no—
897C23×C7—81no—
898C23×C7C22×D411yescharacteristic
899C23×C7C22×D411yescharacteristic
900C22×D7—21no—
901C22×D7—42no—
902C22×D7—42no—
903C22×D7—81no—
904C22×D7C22×D411yescharacteristic
905C7×Q8—21no—
906C7×Q8—21no—
907C7×D4—22no—
908C7×D4—21no—
909C7×D4—21no—
910C7×D4—21no—
911C7×D4—21no—
912C7×D4—21no—
913C7×D4—42no—
914C7×D4—42no—
915C7×D4—42no—
916C7×D4—42no—
917C7×D4—42no—
918C7×D4—81no—
919C7×D42−1+412yes—
920C2×C4×C7—21no—
921C2×C4×C7—21no—
922C2×C4×C7—21no—
923C2×C4×C7—21no—
924C2×C4×C7—21no—
925C2×C4×C7—21no—
926C2×C4×C7—21no—
927C2×C4×C7—21no—
928C2×C4×C7—21no—
929C2×C4×C7—42no—
930C2×C4×C7—42no—
931C2×C4×C7C22×D411yescharacteristic
932C2×C4×C7C22×D411yescharacteristic
933C2×C4×C7C22×D411yescharacteristic
934C2×C4×C7C22×D411yescharacteristic
935C2×C4×C7C2511yescharacteristic
936C22⋊D7—22no—
937C22⋊D7—22no—
938C22⋊D7—42no—
939C22⋊D7—42no—
940C22⋊D7—42no—
941C22⋊D7—42no—
942C22⋊D7—42no—
943C22⋊D7—42no—
944C22⋊D7—42no—
945C22⋊D7—81no—
946C22⋊D7—81no—
947C2×Dic7—22no—
948C2×Dic7—21no—
949C2×Dic7—21no—
950C2×Dic7—21no—
951C2×Dic7—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—21no—
955C2×Dic7—41no—
956C2×Dic7—41no—
957C2×Dic7—42no—
958C2×Dic7—42no—
959C2×Dic7—42no—
960C2×Dic7—42no—
961C2×Dic7—42no—
962C2×Dic7—42no—
963C2×Dic7—42no—
964C2×Dic7—42no—
965C2×Dic7—42no—
966C2×Dic7—42no—
967C2×Dic7AGL(1,ℤ/8)14yes—
968C2×Dic7C22×D411yescharacteristic
969C2×Dic7C22×D411yescharacteristic
970C2×Dic7C22×D411yescharacteristic
971C2×Dic7C22×D411yescharacteristic
972C2×Dic7C22×D411yescharacteristic
973C2×Dic7C22×D411yescharacteristic
974C2×Dic7C22×D411yescharacteristic
975D28—21no—
976D28—21no—
977C4×D7—21no—
978C4×D7—21no—
979C4×D7—22no—
980C4×D7—41no—
981C4×D7—42no—
982C4×D7—42no—
983C4×D7—42no—
984Dic14—22no—
985Dic14—21no—
986Dic14—21no—
987Dic14—42no—
988Dic14—42no—
989Dic14—42no—
990Dic14—42no—
991Dic14—42no—
992Dic14—42no—
993Dic14—42no—
994Dic14—42no—
995C7×C8—21no—
996C7×C8—21no—
997C7×C8—21no—
998C7×C8—21no—
999C7⋊C8—21no—
1000C7⋊C8—21no—
1001C7⋊C8—21no—
1002C7⋊C8—21no—
1003C2×#41—71no—
1004C2×#41—141no—
1005C2×#41—141no—
1006C2×#41—141no—
1007C2×#41—141no—
1008C2×#41—141no—
1009C2×#41—141no—
1010C2×#41—141no—
1011C2×#41—288no—
1012C22×Q8—141no—
1013C22×Q8—141no—
1014C22×D4—21no—
1015C22×D4—71no—
1016C22×D4—141no—
1017C22×D4—141no—
1018C22×D4C22×D711yescharacteristic
1019C22×D4C22×D711yescharacteristic
1020C23×C4—141no—
1021C23×C4—141no—
1022C23×C4—141no—
1023C2×SD16—71no—
1024C2×SD16—71no—
1025C2×SD16—71no—
1026C2×SD16—71no—
1027C2×SD16—71no—
1028C2×SD16C22×D711yescharacteristic
1029C2×SD16C22×D711yescharacteristic
1030C2×SD16C22×D711yescharacteristic
1031C2×M16—71no—
1032C2×M16—71no—
1033C2×M16—71no—
1034C2×M16C22×D711yescharacteristic
1035C22×C8—71no—
1036C22×C8C22×D711yescharacteristic
1037C4⋊Q8—71no—
1038C4⋊Q8—71no—
1039C4⋊Q8—71no—
1040C4⋊Q8—71no—
1041C4⋊Q8—71no—
1042C4⋊Q8—71no—
1043C4⋊Q8—71no—
1044C4⋊Q8—71no—
1045C4⋊Q8—71no—
1046C4⋊Q8—141no—
1047C4⋊Q8—141no—
1048C4⋊Q8—141no—
1049C4⋊Q8—141no—
1050#127—71no—
1051#127—71no—
1052#127C22×D711yescharacteristic
1053#126—21no—
1054#126—141no—
1055#126—141no—
1056#126—141no—
1057#126—141no—
1058#126—141no—
1059#126—141no—
1060#126—141no—
1061#125—21no—
1062#125—71no—
1063#125—71no—
1064#125—71no—
1065#125—141no—
1066#125—141no—
1067#125—141no—
1068#125—141no—
1069#125—141no—
1070#125—141no—
1071#125—141no—
1072#125—141no—
1073#125—141no—
1074#125—141no—
1075#125C22×D711yescharacteristic
1076#124—141no—
1077#124—141no—
1078#124—141no—
1079#124—141no—
1080#124—141no—
1081#123—21no—
1082#123—141no—
1083#123—141no—
1084#123—141no—
1085#123—141no—
1086#123—141no—
1087#123—141no—
1088#123—141no—
1089#123—141no—
1090#123—141no—
1091C22⋊Q8—71no—
1092C22⋊Q8—71no—
1093C22⋊Q8—71no—
1094C22⋊Q8—71no—
1095C22⋊Q8—141no—
1096C22⋊Q8—141no—
1097C22⋊Q8—141no—
1098C22⋊Q8—141no—
1099C22⋊Q8—141no—
1100C22⋊Q8—141no—
1101C22⋊Q8—141no—
1102C22⋊Q8—141no—
1103C22⋊Q8—141no—
1104C22⋊Q8—141no—
1105C22⋊Q8—141no—
1106C22⋊Q8—141no—
1107C22⋊Q8—141no—
1108C22⋊Q8C22×D711yescharacteristic
1109C22⋊Q8C22×D711yescharacteristic
1110#121—21no—
1111#121—71no—
1112#121—71no—
1113#121—71no—
1114#121—71no—
1115#121—141no—
1116#121—141no—
1117#121—141no—
1118#121—141no—
1119#121—141no—
1120#121—141no—
1121#121—141no—
1122#121—141no—
1123#121C22×D711yescharacteristic
1124#121C22×D711yescharacteristic
1125#120—21no—
1126#120—21no—
1127#120—141no—
1128#120—141no—
1129#120—141no—
1130#120—141no—
1131C4×Q8—71no—
1132C4×Q8—71no—
1133C4×Q8—71no—
1134C4×Q8—71no—
1135C4×Q8—71no—
1136C4×Q8—71no—
1137C4×Q8—71no—
1138C4×Q8—141no—
1139C4×Q8—141no—
1140C4×Q8—141no—
1141C4×Q8—141no—
1142C4×Q8—141no—
1143C4×Q8—141no—
1144C4×Q8—141no—
1145C4×Q8—141no—
1146C4×Q8—141no—
1147C4×Q8—141no—
1148C4×Q8—141no—
1149C4×Q8C22×D711yescharacteristic
1150C4×D4—71no—
1151C4×D4—71no—
1152C4×D4—71no—
1153C4×D4—71no—
1154C4×D4—71no—
1155C4×D4—71no—
1156C4×D4—71no—
1157C4×D4—71no—
1158C4×D4—71no—
1159C4×D4—71no—
1160C4×D4—71no—
1161C4×D4—71no—
1162C4×D4—71no—
1163C4×D4—71no—
1164C4×D4—141no—
1165C4×D4—141no—
1166C4×D4—141no—
1167C4×D4—141no—
1168C4×D4—141no—
1169C4×D4—141no—
1170C4×D4—141no—
1171C4×D4—141no—
1172C4×D4—141no—
1173C4×D4C22×D711yescharacteristic
1174C4×D4C22×D711yescharacteristic
1175#117—21no—
1176#117—71no—
1177#117—71no—
1178#117—71no—
1179#117—71no—
1180#117—71no—
1181#117—71no—
1182#117—141no—
1183#117—141no—
1184#117—141no—
1185#117—141no—
1186#117—141no—
1187#117—141no—
1188#117C22×D711yescharacteristic
1189C2×C4⋊C4—71no—
1190C2×C4⋊C4—71no—
1191C2×C4⋊C4—71no—
1192C2×C4⋊C4—71no—
1193C2×C4⋊C4—141no—
1194C2×C4⋊C4C22×D711yescharacteristic
1195C2×C22⋊C4—141no—
1196C2×C22⋊C4—141no—
1197C2×C22⋊C4—141no—
1198C2×C42—71no—
1199C2×C42—71no—
1200C2×C42—71no—
1201#107—71no—
1202#107—71no—
1203#107—71no—
1204#107—71no—
1205#107—71no—
1206#107—71no—
1207#107—71no—
1208#107—71no—
1209#107—71no—
1210#107—71no—
1211#107—71no—
1212#107—71no—
1213#107—71no—
1214#107—71no—
1215#107C22×D711yescharacteristic
1216#107C22×D711yescharacteristic
1217#106—71no—
1218#106—71no—
1219#106—71no—
1220#106—71no—
1221#106—71no—
1222#106—71no—
1223#106—71no—
1224#106C22×D711yescharacteristic
1225C4⋊C8—71no—
1226C4⋊C8—71no—
1227C4⋊C8—71no—
1228C4⋊C8—71no—
1229C4⋊C8—71no—
1230C4⋊C8—71no—
1231C4⋊C8—71no—
1232C4⋊C8—71no—
1233C4⋊C8—71no—
1234C4⋊C8C22×D711yescharacteristic
1235#103—71no—
1236#103—71no—
1237#103—71no—
1238#103—71no—
1239#103—71no—
1240#103—71no—
1241#103—71no—
1242#103C22×D711yescharacteristic
1243#102—71no—
1244#102—71no—
1245#102—71no—
1246#102—71no—
1247#102—71no—
1248#102—71no—
1249#102—71no—
1250#102—71no—
1251#102—71no—
1252#102—71no—
1253#102—71no—
1254#102—71no—
1255#102—71no—
1256#102—71no—
1257#102—71no—
1258#102C22×D711yescharacteristic
1259#102C22×D711yescharacteristic
1260#102C22×D711yescharacteristic
1261#102C22×D711yescharacteristic
1262#102C22×D711yescharacteristic
1263#102C22×D711yescharacteristic
1264#102C22×D711yescharacteristic
1265#102C22×D711yescharacteristic
1266#102C22×D711yescharacteristic
1267C22⋊C8—71no—
1268C22⋊C8—71no—
1269C22⋊C8—71no—
1270C22⋊C8—71no—
1271C22⋊C8C22×D711yescharacteristic
1272C22⋊C8C22×D711yescharacteristic
1273#97—71no—
1274#97—71no—
1275#97—71no—
1276#97C22×D711yescharacteristic
1277C4×C8—71no—
1278C4×C8—71no—
1279C22×C7—21no—
1280C22×C7—21no—
1281C22×C7—21no—
1282C22×C7—22no—
1283C22×C7—21no—
1284C22×C7—21no—
1285C22×C7—41no—
1286C22×C7—41no—
1287C22×C7—41no—
1288C22×C7—41no—
1289C22×C7—41no—
1290C22×C7—41no—
1291C22×C7—41no—
1292C22×C7—41no—
1293C22×C7—84no—
1294C22×C7—84no—
1295C22×C7C2×AGL(1,ℤ/8)12yes—
1296C22×C7C23×D411yescharacteristic
1297C2×D7—21no—
1298C2×D7—21no—
1299C2×D7—21no—
1300C2×D7—41no—
1301C2×D7—41no—
1302C2×D7—41no—
1303C2×D7—84no—
1304C4×C7—21no—
1305C4×C7—21no—
1306C4×C7—21no—
1307C4×C7—21no—
1308C4×C7—41no—
1309C4×C7—41no—
1310C4×C7—41no—
1311C4×C7—41no—
1312C4×C7—41no—
1313C4×C7C2×2−1+411yescharacteristic
1314C4×C7#58511yescharacteristic
1315Dic7—21no—
1316Dic7—21no—
1317Dic7—21no—
1318Dic7—21no—
1319Dic7—21no—
1320Dic7—41no—
1321Dic7—41no—
1322Dic7—41no—
1323Dic7—41no—
1324Dic7—41no—
1325Dic7—41no—
1326Dic7—41no—
1327Dic7C2×AGL(1,ℤ/8)12yes—
1328Dic7C2×AGL(1,ℤ/8)12yes—
1329C24—21no—
1330C24—21no—
1331C24—141no—
1332#41—144no—
1333#41—284no—
1334#41—284no—
1335#41—284no—
1336#41—284no—
1337#41—284no—
1338#41—284no—
1339#41—284no—
1340C2×Q8—71no—
1341C2×Q8—71no—
1342C2×Q8—141no—
1343C2×Q8—141no—
1344C2×Q8—141no—
1345C2×Q8—141no—
1346C2×Q8—141no—
1347C2×Q8—141no—
1348C2×Q8—141no—
1349C2×Q8—141no—
1350C2×Q8—284no—
1351C2×Q8—284no—
1352C2×Q8C23×D711yescharacteristic
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—44no—
1364C2×D4—71no—
1365C2×D4—71no—
1366C2×D4—71no—
1367C2×D4—141no—
1368C2×D4—141no—
1369C2×D4—141no—
1370C2×D4—141no—
1371C2×D4—141no—
1372C2×D4—142no—
1373C2×D4—141no—
1374C2×D4—141no—
1375C2×D4—141no—
1376C2×D4—141no—
1377C2×D4—281no—
1378C2×D4—284no—
1379C2×D4—284no—
1380C2×D4D4×D711yescharacteristic
1381C2×D4C23×D711yescharacteristic
1382C2×D4C23×D711yescharacteristic
1383C2×D4C23×D711yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—71no—
1387C22×C4—71no—
1388C22×C4—71no—
1389C22×C4—71no—
1390C22×C4—71no—
1391C22×C4—71no—
1392C22×C4—71no—
1393C22×C4—141no—
1394C22×C4—141no—
1395C22×C4—141no—
1396C22×C4—141no—
1397C22×C4—141no—
1398C22×C4—141no—
1399C22×C4—141no—
1400C22×C4—141no—
1401C22×C4—141no—
1402C22×C4—141no—
1403C22×C4—141no—
1404C22×C4—141no—
1405C22×C4—141no—
1406C22×C4—284no—
1407C22×C4—284no—
1408C22×C4—284no—
1409C22×C4C23×D711yescharacteristic
1410C22×C4C23×D711yescharacteristic
1411SD16—22no—
1412SD16—41no—
1413SD16—41no—
1414SD16—142no—
1415SD16—281no—
1416SD16—281no—
1417SD16—281no—
1418SD16—281no—
1419M16—41no—
1420M16—281no—
1421M16—281no—
1422M16—281no—
1423C2×C8—41no—
1424C2×C8—71no—
1425C2×C8—71no—
1426C2×C8—71no—
1427C2×C8—71no—
1428C2×C8—281no—
1429C2×C8C23×D711yescharacteristic
1430C2×C8C23×D711yescharacteristic
1431C2×C8C23×D711yescharacteristic
1432C2×C8C23×D711yescharacteristic
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—71no—
1440C4⋊C4—71no—
1441C4⋊C4—71no—
1442C4⋊C4—71no—
1443C4⋊C4—71no—
1444C4⋊C4—71no—
1445C4⋊C4—71no—
1446C4⋊C4—71no—
1447C4⋊C4—71no—
1448C4⋊C4—71no—
1449C4⋊C4—71no—
1450C4⋊C4—141no—
1451C4⋊C4—141no—
1452C4⋊C4—141no—
1453C4⋊C4—141no—
1454C4⋊C4—141no—
1455C4⋊C4—141no—
1456C4⋊C4—141no—
1457C4⋊C4—141no—
1458C4⋊C4—141no—
1459C4⋊C4—141no—
1460C4⋊C4—141no—
1461C4⋊C4—141no—
1462C4⋊C4—141no—
1463C4⋊C4—141no—
1464C4⋊C4—141no—
1465C4⋊C4—141no—
1466C4⋊C4—141no—
1467C4⋊C4—141no—
1468C4⋊C4—141no—
1469C4⋊C4—141no—
1470C4⋊C4—141no—
1471C4⋊C4—141no—
1472C4⋊C4—141no—
1473C4⋊C4—141no—
1474C4⋊C4—141no—
1475C4⋊C4—141no—
1476C4⋊C4—141no—
1477C4⋊C4—141no—
1478C4⋊C4—141no—
1479C4⋊C4D4×D711yescharacteristic
1480C4⋊C4C23×D711yescharacteristic
1481C4⋊C4C23×D711yescharacteristic
1482C4⋊C4C23×D711yescharacteristic
1483C4⋊C4C23×D711yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—71no—
1491C22⋊C4—71no—
1492C22⋊C4—71no—
1493C22⋊C4—71no—
1494C22⋊C4—141no—
1495C22⋊C4—141no—
1496C22⋊C4—141no—
1497C22⋊C4—141no—
1498C22⋊C4—141no—
1499C22⋊C4—141no—
1500C22⋊C4—141no—
1501C22⋊C4—141no—
1502C22⋊C4—141no—
1503C22⋊C4—141no—
1504C22⋊C4—141no—
1505C22⋊C4—141no—
1506C22⋊C4—141no—
1507C22⋊C4—141no—
1508C22⋊C4—141no—
1509C22⋊C4—141no—
1510C22⋊C4—141no—
1511C22⋊C4—141no—
1512C22⋊C4—141no—
1513C22⋊C4—141no—
1514C22⋊C4D4×D711yescharacteristic
1515C22⋊C4D4×D711yescharacteristic
1516C42—21no—
1517C42—21no—
1518C42—71no—
1519C42—71no—
1520C42—71no—
1521C42—71no—
1522C42—71no—
1523C42—71no—
1524C42—71no—
1525C42—71no—
1526C42—71no—
1527C42—141no—
1528C42—141no—
1529C42—141no—
1530C42—141no—
1531C42—141no—
1532C42—141no—
1533C42—141no—
1534C42—141no—
1535C42C23×D711yescharacteristic
1536C2×C7—22no—
1537C2×C7—42no—
1538C2×C7—41no—
1539C2×C7—81no—
1540C2×C7—81no—
1541C2×C7#348911yescharacteristic
1542C2×C7C22×AGL(1,ℤ/8)11yescharacteristic
1543C2×C7#358611yescharacteristic
1544D7—41no—
1545D7—81no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—42no—
1550C23—42no—
1551C23—42no—
1552C23—42no—
1553C23—71no—
1554C23—81no—
1555C23—81no—
1556C23—141no—
1557C23—282no—
1558C23—282no—
1559C23—561no—
1560C23C2×D4×D711yescharacteristic
1561C23C2×D4×D711yescharacteristic
1562Q8—21no—
1563Q8—21no—
1564Q8—142no—
1565Q8—141no—
1566Q8—141no—
1567Q8—282no—
1568Q8—282no—
1569Q8—282no—
1570Q8—282no—
1571Q8—282no—
1572Q8—282no—
1573Q8—282no—
1574Q8—282no—
1575D4—22no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—21no—
1580D4—21no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—42no—
1585D4—42no—
1586D4—81no—
1587D4—142no—
1588D4—142no—
1589D4—141no—
1590D4—141no—
1591D4—282no—
1592D4—282no—
1593D4—282no—
1594D4—282no—
1595D4—282no—
1596D4—282no—
1597D4—282no—
1598D4—561no—
1599D4—561no—
1600D4#655412yes—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—42no—
1611C2×C4—42no—
1612C2×C4—74no—
1613C2×C4—71no—
1614C2×C4—71no—
1615C2×C4—71no—
1616C2×C4—71no—
1617C2×C4—71no—
1618C2×C4—71no—
1619C2×C4—71no—
1620C2×C4—142no—
1621C2×C4—142no—
1622C2×C4—141no—
1623C2×C4—141no—
1624C2×C4—141no—
1625C2×C4—141no—
1626C2×C4—141no—
1627C2×C4—141no—
1628C2×C4—141no—
1629C2×C4—141no—
1630C2×C4—141no—
1631C2×C4—281no—
1632C2×C4—282no—
1633C2×C4—282no—
1634C2×C4—282no—
1635C2×C4—282no—
1636C2×C4—282no—
1637C2×C4—282no—
1638C2×C4—282no—
1639C2×C4—282no—
1640C2×C4—281no—
1641C2×C4—281no—
1642C2×C4—282no—
1643C2×C4—282no—
1644C2×C4—282no—
1645C2×C4—282no—
1646C2×C4—282no—
1647C2×C4C2×D4×D711yescharacteristic
1648C2×C4C2×D4×D711yescharacteristic
1649C2×C4C2×D4×D711yescharacteristic
1650C2×C4C2×D4×D711yescharacteristic
1651C2×C4C24×D711yescharacteristic
1652C8—21no—
1653C8—21no—
1654C8—21no—
1655C8—21no—
1656C8—141no—
1657C8—141no—
1658C8—141no—
1659C8—141no—
1660C7#6210911yescharacteristic, complemented, Sylow
1661C22—21no—
1662C22—21no—
1663C22—21no—
1664C22—21no—
1665C22—21no—
1666C22—22no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—84no—
1676C22—84no—
1677C22—141no—
1678C22—141no—
1679C22—141no—
1680C22—281no—
1681C22—281no—
1682C22—281no—
1683C22—564no—
1684C22D7×AGL(1,ℤ/8)12yes—
1685C22C22×D4×D711yescharacteristic
1686C4—21no—
1687C4—21no—
1688C4—21no—
1689C4—21no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—72no—
1696C4—72no—
1697C4—141no—
1698C4—141no—
1699C4—141no—
1700C4—141no—
1701C4—141no—
1702C4—281no—
1703C4—281no—
1704C4—281no—
1705C4—281no—
1706C4—281no—
1707C4—281no—
1708C4—281no—
1709C4C2×#655411yescharacteristic
1710C4#9061811yescharacteristic
1711C2—22no—
1712C2—41no—
1713C2—42no—
1714C2—81no—
1715C2—81no—
1716C2—281no—
1717C2—561no—
1718C2#1174369811yescharacteristic
1719C2C2×D7×AGL(1,ℤ/8)11yescharacteristic
1720C2#1174427611yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3310C2
socleC22×C7C23×D4
prime radicalD4×#1159C2
hypercenter#3310D7
hypocenterC7#62109
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #11743900C2semidirect
3. C7×#3310C2semidirect
4. #11741037C2semidirect
5. #11740929C2semidirect
6. #11739167C2semidirect
7. #11739154C2semidirect
8. #11738812C2semidirect
9. #11738803C2semidirect
10. #11738738C2semidirect
11. #11738719C2semidirect
12. #11738611C2semidirect
13. #11738604C2semidirect
14. #11738246C2semidirect
15. #11738239C2semidirect
16. #11738096C2semidirect
17. #11738085C2semidirect
18. #11737817C2semidirect
19. #11737812C2semidirect
20. #11737610C2semidirect
21. #11737605C2semidirect
22. #11737579C2semidirect
23. #11737577C2semidirect
24. #11737224C2semidirect
25. #11737205C2semidirect
26. #11736914C2semidirect
27. #11736906C2semidirect
28. #11736385C2semidirect
29. #11736362C2semidirect
30. #11736207C2semidirect
31. C2×#89531C2semidirect
33. C7×#552C22semidirect
45. #90379C22semidirect
47. #90376C22semidirect
50. #90333C22semidirect
51. #90332C22semidirect
52. #90313C22semidirect
53. #90313C22semidirect
64. #90269C22semidirect
65. #90260C22semidirect
68. #90232C22semidirect
71. #90224C22semidirect
73. #90208C22semidirect
75. #90204C22semidirect
76. C2×#6451C22semidirect
77. C7×#490C22semidirect
78. C7×#482C22semidirect
79. C7×#480C22semidirect
81. C7×#468C22semidirect
82. C7×#465C22semidirect
83. C7×#460C22semidirect
87. C7×#435C22semidirect
94. #89946C22semidirect
95. #89946C22semidirect
98. #89936C22semidirect
99. #89935C22semidirect
100. #89935C22semidirect
102. #89934C22semidirect
103. #89934C22semidirect
105. SD16×Dic7C22semidirect
106. #89906C22semidirect
107. #89900C22semidirect
108. #89893C22semidirect
109. #89890C22semidirect
110. #89886C22semidirect
111. #89883C22semidirect
112. C2×#6392C22semidirect
113. C2×Dic7⋊C8C22semidirect
114. #89847C22semidirect
115. #89843C22semidirect
116. #89838C22semidirect
117. #89837C22semidirect
118. #89821C22semidirect
119. #89820C22semidirect
120. #89816C22semidirect
121. #89815C22semidirect
122. #89814C22semidirect
123. #89813C22semidirect
124. #89807C22semidirect
125. #89805C22semidirect
126. #89798C22semidirect
127. #89793C22semidirect
129. #89783C22semidirect
131. #89775C22semidirect
132. #89767C22semidirect
133. #89739C22semidirect
134. C2×#6381C22semidirect
135. #89662C22semidirect
136. #89662C22semidirect
137. #89656C22semidirect
138. #89653C22semidirect
139. #89648C22semidirect
140. #89647C22semidirect
141. #89646C22semidirect
142. #89646C22semidirect
143. #89642C22semidirect
144. #89633C22semidirect
145. #89628C22semidirect
146. #89626C22semidirect
147. #89622C22semidirect
148. #89619C22semidirect
149. #89609C22semidirect
150. #89600C22semidirect
151. #89590C22semidirect
152. #89581C22semidirect
153. #89566C22semidirect
154. #89563C22semidirect
155. #89556C22semidirect
156. #89556C22semidirect
157. #89552C22semidirect
158. #89552C22semidirect
159. #89551C22semidirect
160. #89551C22semidirect
165. #89538C22semidirect
166. #89536C22semidirect
167. #89536C22semidirect
169. #89535C22semidirect
170. #89534C22semidirect
171. #89534C22semidirect
173. #89533C22semidirect
174. #89533C22semidirect
175. #89532C22semidirect
176. #89532C22semidirect
181. #89531C22semidirect
182. #89531C22semidirect
183. #89531C22semidirect
184. #89531C22semidirect
185. #89531C22semidirect
186. #89531C22semidirect
188. #89530C22semidirect
190. #89529C22semidirect
191. #89509C22semidirect
192. #89508C22semidirect
193. #89502C22semidirect
194. #89501C22semidirect
195. #89494C22semidirect
196. #89493C22semidirect
197. #89491C22semidirect
198. #89490C22semidirect
199. #89482C22semidirect
200. #89477C22semidirect
201. #89474C22semidirect
202. #89473C22semidirect
497. #3310D7semidirect
730. #552C2×D7semidirect
772. #490C2×D7semidirect
788. #482C2×D7semidirect
792. #480C2×D7semidirect
830. #468C2×D7semidirect
834. #465C2×D7semidirect
844. #460C2×D7semidirect
870. #435C2×D7semidirect
1660. C7#62109semidirect

Maximal subgroups

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

subgroupindex
#117439002
D4×#11592
C7×#33102
#117410372
#117409292
#117391672
#117391542
#117388122
#117388032
#117387382
#117387192
#117386112
#117386042
#117382462
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