Finite Group Databasebeta

← #14223947

Subgroups — #14223947

Order 1792.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D7×#542C211yesmaximal, characteristic, complemented
2#11743535C211yesmaximal, characteristic, complemented
3C7×#3179C211yesmaximal, characteristic, complemented
4#11740903C211yesmaximal, characteristic, complemented
5#11740878C211yesmaximal, characteristic, complemented
6#11739421C211yesmaximal, characteristic, complemented
7#11739405C211yesmaximal, characteristic, complemented
8#11739291C211yesmaximal, characteristic, complemented
9#11739282C211yesmaximal, characteristic, complemented
10#11739085C211yesmaximal, characteristic, complemented
11#11739074C211yesmaximal, characteristic, complemented
12#11739010C211yesmaximal, characteristic, complemented
13#11739003C211yesmaximal, characteristic, complemented
14#11738309C211yesmaximal, characteristic, complemented
15#11738294C211yesmaximal, characteristic, complemented
16#11738251C211yesmaximal, characteristic, complemented
17#11738232C211yesmaximal, characteristic, complemented
18#11738160C211yesmaximal, characteristic, complemented
19#11738143C211yesmaximal, characteristic, complemented
20#11738103C211yesmaximal, characteristic, complemented
21#11738079C211yesmaximal, characteristic, complemented
22#11737310C211yesmaximal, characteristic, complemented
23#11737304C211yesmaximal, characteristic, complemented
24#11737219C211yesmaximal, characteristic, complemented
25#11737213C211yesmaximal, characteristic, complemented
26#11737111C211yesmaximal, characteristic, complemented
27C4×#6478C211yesmaximal, characteristic, complemented
28#11737045C211yesmaximal, characteristic, complemented
29C4×#6474C211yesmaximal, characteristic, complemented
30#11736015C211yesmaximal, characteristic, complemented
31#11735993C211yesmaximal, characteristic, complemented
32C7×#542C2211yescharacteristic
33C7×#540C2211yescharacteristic, complemented
34C2×#6478C2211yescharacteristic
35C2×#6478C2211yescharacteristic
36C2×#6474C2211yescharacteristic
37C2×#6474C2211yescharacteristic
38C2×D7×M16C2211yescharacteristic
39C22×#1131C2211yescharacteristic
40#90424C2211yescharacteristic
41D7×C4⋊Q8C2211yescharacteristic
42#90410C2211yescharacteristic, complemented
43#90407C2211yescharacteristic
44#90401—21no—
45D7×#126—21no—
46#90388C2211yescharacteristic, complemented
47#90379C2211yescharacteristic
48#90373C2211yescharacteristic
49D7×#124—21no—
50D7×#124C2211yescharacteristic
51#90360—21no—
52#90353—21no—
53#90351—21no—
54#90351—21no—
55D7×#123—21no—
56#90340—21no—
57#90340—21no—
58#90334C2211yescharacteristic
59#90331—21no—
60D7×C22⋊Q8—21no—
61D7×C22⋊Q8C2211yescharacteristic
62#90304—21no—
63#90304—21no—
64#90297C2211yescharacteristic
65#90297C2211yescharacteristic
66D7×#121C2211yescharacteristic
67#90294C2211yescharacteristic
68#90294C2211yescharacteristic, complemented
69#90294C2211yescharacteristic, complemented
70#90291—21no—
71#90291—21no—
72#90273C2211yescharacteristic
73C4×Q8×D7C2211yescharacteristic
74#90252C2211yescharacteristic
75#90252C2211yescharacteristic, complemented
76#90252C2211yescharacteristic, complemented
77C4×D4×D7C2211yescharacteristic
78C4×#1159C2211yescharacteristic
79C4×#1159C2211yescharacteristic
80#90225C2211yescharacteristic
81D7×#117C2211yescharacteristic
82#90209C2211yescharacteristic, complemented
83C7×#501C2211yescharacteristic, complemented
84C7×#496C2211yescharacteristic, complemented
85C7×#488C2211yescharacteristic, complemented
86C7×#486C2211yescharacteristic, complemented
87C7×#469C2211yescharacteristic
88C7×#468C2211yescharacteristic, complemented
89C7×#466C2211yescharacteristic
90C7×#465C2211yescharacteristic, complemented
91C7×#442C2211yescharacteristic, complemented
92C7×#440C2211yescharacteristic, complemented
93C4×C7×SD16C2211yescharacteristic, complemented
94C4×C7×D8C2211yescharacteristic, complemented
95C7×#405C2211yescharacteristic, complemented
96#89946C2211yescharacteristic, complemented
97#89943C2211yescharacteristic, complemented
98#89940C2211yescharacteristic, complemented
99#89940C2211yescharacteristic, complemented
100#89936C2211yescharacteristic, complemented
101SD16×Dic7C2211yescharacteristic, complemented
102#89931C2211yescharacteristic
103#89929C2211yescharacteristic
104#89927C2211yescharacteristic, complemented
105#89927C2211yescharacteristic, complemented
106#89924C2211yescharacteristic, complemented
107D8×Dic7C2211yescharacteristic, complemented
108#89909C2211yescharacteristic, complemented
109#89906C2211yescharacteristic
110#89894C2211yescharacteristic, complemented
111#89888C2211yescharacteristic, complemented
112#89886C2211yescharacteristic
113#89873C2211yescharacteristic, complemented
114#89865C2211yescharacteristic, complemented
115#89852C2211yescharacteristic, complemented
116#89846C2211yescharacteristic, complemented
117#89842C2211yescharacteristic, complemented
118#89840C2211yescharacteristic, complemented
119#89837C2211yescharacteristic, complemented
120#89832C2211yescharacteristic, complemented
121#89828C2211yescharacteristic, complemented
122#89824C2211yescharacteristic, complemented
123#89823C2211yescharacteristic, complemented
124#89814C2211yescharacteristic
125#89814C2211yescharacteristic, complemented
126#89813C2211yescharacteristic
127#89813C2211yescharacteristic, complemented
128#89811C2211yescharacteristic
129#89810C2211yescharacteristic
130#89802C2211yescharacteristic, complemented
131C4×#1144C2211yescharacteristic, complemented
132#89790C2211yescharacteristic, complemented
133#89790C2211yescharacteristic, complemented
134C4×#1142C2211yescharacteristic, complemented
135C4×#1142C2211yescharacteristic, complemented
136#89786C2211yescharacteristic, complemented
137C4×#1141C2211yescharacteristic, complemented
138#89769C2211yescharacteristic, complemented
139#89661C2211yescharacteristic, complemented
140#89659C2211yescharacteristic, complemented
141#89658C2211yescharacteristic
142#89653C2211yescharacteristic
143#89653C2211yescharacteristic
144#89646C2211yescharacteristic, complemented
145#89646C2211yescharacteristic, complemented
146#89645C2211yescharacteristic, complemented
147#89640C2211yescharacteristic, complemented
148#89636C2211yescharacteristic
149#89633C2211yescharacteristic
150#89633C2211yescharacteristic
151#89627C2211yescharacteristic, complemented
152#89627C2211yescharacteristic, complemented
153#89625C2211yescharacteristic, complemented
154#89624C2211yescharacteristic, complemented
155#89588C2211yescharacteristic, complemented
156#89585C2211yescharacteristic, complemented
157#89574C2211yescharacteristic
158#89574C2211yescharacteristic
159#89567C2211yescharacteristic, complemented
160#89567C2211yescharacteristic, complemented
161#89562C2211yescharacteristic, complemented
162#89561C2211yescharacteristic, complemented
163#89557C2211yescharacteristic, complemented
164#89554C2211yescharacteristic
165#89552C2211yescharacteristic
166#89552C2211yescharacteristic, complemented
167#89550C2211yescharacteristic
168#89550C2211yescharacteristic, complemented
169#89547C2211yescharacteristic
170#89543C2211yescharacteristic
171#89543C2211yescharacteristic
172#89543C2211yescharacteristic
173#89543C2211yescharacteristic
174#89542C2211yescharacteristic
175#89542C2211yescharacteristic
176#89537C2211yescharacteristic, complemented
177#89537C2211yescharacteristic, complemented
178#89537C2211yescharacteristic, complemented
179#89537C2211yescharacteristic, complemented
180#89537C2211yescharacteristic, complemented
181#89537C2211yescharacteristic, complemented
182#89530C2211yescharacteristic, complemented
183#89530C2211yescharacteristic, complemented
184#89529C2211yescharacteristic, complemented
185#89529C2211yescharacteristic, complemented
186#89528C2211yescharacteristic, complemented
187#89488C2211yescharacteristic, complemented
188#89487C2211yescharacteristic, complemented
189#89482C2211yescharacteristic, complemented
190#89480C2211yescharacteristic, complemented
191#89480C2211yescharacteristic, complemented
192#89479C2211yescharacteristic
193#89479C2211yescharacteristic
194#89474C2211yescharacteristic, complemented
195C4×Dic28C2211yescharacteristic, complemented
196#89469C2211yescharacteristic, complemented
197C4×#1132C2211yescharacteristic, complemented
198#89461C2211yescharacteristic, complemented
199#89461C2211yescharacteristic, complemented
200C4×#1131C2211yescharacteristic
201C4×#1131C2211yescharacteristic
202#89453C2211yescharacteristic, complemented
203#60703—71nomaximal, Sylow
204C2×Q8×D7—21no—
205C2×Q8×D7C2311yescharacteristic
206C2×#1159C2311yescharacteristic
207C2×#1159C2311yescharacteristic
208C2×D4×D7—21no—
209C2×D4×D7C2311yescharacteristic
210C22×C4×D7—21no—
211C22×C4×D7C2311yescharacteristic
212C2×C7×SD16C2311yescharacteristic
213C2×C7×SD16C2311yescharacteristic
214C2×C7×D8C2311yescharacteristic
215C2×C7×D8C2311yescharacteristic
216C2×C7×M16C2311yescharacteristic
217C22×C7×C8C2311yescharacteristic
218C7×C4⋊Q8C2311yescharacteristic
219C7×#127C2311yescharacteristic
220C7×#126—21no—
221C7×#125C2311yescharacteristic
222C7×#124—21no—
223C7×#124C2311yescharacteristic
224C7×#123—21no—
225C7×#123—21no—
226C7×#123—21no—
227C7×C22⋊Q8—21no—
228C7×C22⋊Q8C2311yescharacteristic
229C7×#121—21no—
230C7×#121—21no—
231C7×#121C2311yescharacteristic
232C7×#121C2311yescharacteristic
233C7×#121C2311yescharacteristic
234C4×C7×Q8C2311yescharacteristic
235C4×C7×D4C2311yescharacteristic
236C4×C7×D4C2311yescharacteristic
237C4×C7×D4C2311yescharacteristic
238C7×#117C2311yescharacteristic
239#6510—21no—
240#6510C2311yescharacteristic
241#6509—21no—
242#6509C2311yescharacteristic
243Q8×Dic7C2311yescharacteristic
244#6507—21no—
245C2×#1144C2311yescharacteristic
246C2×#1144C2311yescharacteristic
247#6502—21no—
248#6502—21no—
249#6502—21no—
250#6501—21no—
251#6501—21no—
252#6501C2311yescharacteristic
253#6501C2311yescharacteristic
254#6501C2311yescharacteristic
255#6500—21no—
256#6500—21no—
257#6499—21no—
258#6499—21no—
259#6499—21no—
260#6499C2311yescharacteristic
261#6499C2311yescharacteristic
262#6499C2311yescharacteristic
263#6498—21no—
264#6498—21no—
265#6498—21no—
266#6498—21no—
267#6498—21no—
268D4×Dic7—21no—
269D4×Dic7—21no—
270D4×Dic7—21no—
271D4×Dic7—21no—
272D4×Dic7C2311yescharacteristic
273D4×Dic7C2311yescharacteristic
274D4×Dic7C2311yescharacteristic
275C2×#1142C2311yescharacteristic
276C2×#1142C2311yescharacteristic
277C2×#1142C2311yescharacteristic
278C2×#1142C2311yescharacteristic
279C2×#1141C2311yescharacteristic
280C2×#1141C2311yescharacteristic
281#6493C2311yescharacteristic
282#6492—21no—
283#6492—21no—
284#6492—21no—
285C4×C22⋊D7—21no—
286C4×C22⋊D7—21no—
287C4×C22⋊D7—21no—
288#6489C2311yescharacteristic
289#6487—21no—
290#6487—21no—
291#6487—21no—
292#6487C2311yescharacteristic
293#6487C2311yescharacteristic
294#6487C2311yescharacteristic
295C2×C4×Dic7—21no—
296C2×C4×Dic7—21no—
297C2×#1136C2311yescharacteristic
298C22×C7⋊C8C2311yescharacteristic
299#6478—24no—
300#6478—24no—
301#6474—24no—
302#6474—24no—
303D7×M16—24no—
304C2×Dic28C2311yescharacteristic
305C2×Dic28C2311yescharacteristic
306C2×#1132C2311yescharacteristic
307C2×#1132C2311yescharacteristic
308C2×#1131—24no—
309C2×#1131C2311yescharacteristic
310C2×#1131C2311yescharacteristic
311C2×#1131C2311yescharacteristic
312C2×#1131C2311yescharacteristic
313C2×#1131C2311yescharacteristic
314C2×#1131C2311yescharacteristic
315C2×C8×D7C2311yescharacteristic
316C2×C8×D7C2311yescharacteristic
317#6461—21no—
318#6461—21no—
319#6461—21no—
320#6461—21no—
321#6461—21no—
322#6460—21no—
323#6460C2311yescharacteristic
324#6460C2311yescharacteristic
325#6460C2311yescharacteristic
326#6459—21no—
327#6459—21no—
328#6459—21no—
329#6459—21no—
330#6459—21no—
331#6458C2311yescharacteristic
332#6457—21no—
333#6457—21no—
334#6456C2311yescharacteristic
335#6455D411yescharacteristic
336#6455D411yescharacteristic
337#6455C2311yescharacteristic
338#6455C2311yescharacteristic
339D7×C4⋊C4—21no—
340D7×C4⋊C4—21no—
341D7×C4⋊C4—21no—
342D7×C4⋊C4D411yescharacteristic
343D7×C4⋊C4D411yescharacteristic
344D7×C4⋊C4C2311yescharacteristic
345D7×C4⋊C4C2311yescharacteristic
346#6453—21no—
347#6453—21no—
348#6452—21no—
349#6452—21no—
350#6451—21no—
351#6451C2311yescharacteristic
352#6451C2311yescharacteristic
353#6451C2311yescharacteristic
354#6451C2311yescharacteristic
355#6450—21no—
356#6450—21no—
357#6450—21no—
358#6450C2311yescharacteristic
359#6450C2311yescharacteristic
360#6450C2311yescharacteristic
361#6449—21no—
362#6448—21no—
363#6448—21no—
364#6448—21no—
365#6448—21no—
366#6448—21no—
367#6448—21no—
368#6448—21no—
369#6448—21no—
370#6447—21no—
371#6446—21no—
372#6446—21no—
373#6446—21no—
374#6446—21no—
375(C22⋊D7)⋊C4—21no—
376(C22⋊D7)⋊C4—21no—
377(C22⋊D7)⋊C4—21no—
378(C22⋊D7)⋊C4—21no—
379(C22⋊D7)⋊C4—21no—
380D7×C22⋊C4—21no—
381D7×C22⋊C4—21no—
382D7×C22⋊C4—21no—
383D7×C22⋊C4—21no—
384D7×C22⋊C4—21no—
385D7×C22⋊C4D411yescharacteristic
386D7×C22⋊C4D411yescharacteristic
387#6442—21no—
388#6442—21no—
389#6442—21no—
390#6442—21no—
391#6442—21no—
392#6442—21no—
393#6442—21no—
394#6442—21no—
395#6442—21no—
396#6441—21no—
397#6441—21no—
398#6441—21no—
399#6441—21no—
400#6441—21no—
401#6440—21no—
402#6440—21no—
403#6440D411yescharacteristic
404#6440D411yescharacteristic
405#6439—21no—
406#6438—21no—
407#6438C2311yescharacteristic
408C4×D28C2311yescharacteristic
409#6435C2311yescharacteristic
410#6435C2311yescharacteristic
411C42×D7—21no—
412C42×D7C2311yescharacteristic
413C42×D7C2311yescharacteristic
414#6433C2311yescharacteristic
415#6432C2311yescharacteristic
416#6432C2311yescharacteristic
417C4×Dic14—21no—
418C4×Dic14C2311yescharacteristic
419C4×Dic14C2311yescharacteristic
420C4×Dic14C2311yescharacteristic
421C7×#107C2311yescharacteristic
422C7×#107C2311yescharacteristic
423C7×#106C2311yescharacteristic
424C7×#106C2311yescharacteristic
425C7×#103C2311yescharacteristic
426C7×#103C2311yescharacteristic
427C7×#102C2311yescharacteristic
428C7×#102C2311yescharacteristic
429C7×#102C2311yescharacteristic
430C7×#102C2311yescharacteristic
431C7×#102C2311yescharacteristic
432C7×#102C2311yescharacteristic
433C7×#97C2311yescharacteristic
434C7×#97C2311yescharacteristic
435C4×C7×C8C2311yescharacteristic
436C4×C7×C8C2311yescharacteristic
437#6409C2311yescharacteristic
438#6409C2311yescharacteristic
439#6406C2311yescharacteristic
440#6406C2311yescharacteristic
441#6406C2311yescharacteristic
442#6406C2311yescharacteristic
443#6406C2311yescharacteristic
444#6406C2311yescharacteristic
445#6395C2311yescharacteristic
446#6395C2311yescharacteristic
447#6392C2311yescharacteristic
448#6392C2311yescharacteristic
449#6391C2311yescharacteristic
450#6391C2311yescharacteristic
451#6390C2311yescharacteristic
452#6390C2311yescharacteristic
453#6390C2311yescharacteristic
454#6390C2311yescharacteristic
455#6390C2311yescharacteristic
456#6390C2311yescharacteristic
457#6389C2311yescharacteristic
458#6389C2311yescharacteristic
459#6389C2311yescharacteristic
460#6389C2311yescharacteristic
461C8×Dic7C2311yescharacteristic
462C8×Dic7C2311yescharacteristic
463C8×Dic7C2311yescharacteristic
464C8×Dic7C2311yescharacteristic
465#6384C2311yescharacteristic
466#6384C2311yescharacteristic
467#6384C2311yescharacteristic
468#6384C2311yescharacteristic
469#6384C2311yescharacteristic
470#6384C2311yescharacteristic
471#6383C2311yescharacteristic
472#6383C2311yescharacteristic
473#6382C2311yescharacteristic
474#6382C2311yescharacteristic
475#6382C2311yescharacteristic
476#6382C2311yescharacteristic
477#6381C2311yescharacteristic
478#6381C2311yescharacteristic
479#6381C2311yescharacteristic
480#6381C2311yescharacteristic
481#6377C2311yescharacteristic
482#6377C2311yescharacteristic
483C4×C7⋊C8C2311yescharacteristic
484C4×C7⋊C8C2311yescharacteristic
485#3455—71no—
486C2×#542—71no—
487#3179—71no—
488#3179—71no—
489#3179—71no—
490#3179D711yescharacteristic, complemented
491#3178—71no—
492#3178—71no—
493#3178—71no—
494#3178—71no—
495#3175—71no—
496#3175—71no—
497#3175—71no—
498#3175—71no—
499#3173—71no—
500#3173—71no—
501#3173—71no—
502#3173—71no—
503#3165—71no—
504#3153—71no—
505#3141—71no—
506#3140—71no—
507#3056—71no—
508#3056—71no—
509#3055—71no—
510#3055—71no—
511C4×#137—71no—
512C4×#137—71no—
513C4×AGL(1,ℤ/8)—71no—
514C4×AGL(1,ℤ/8)—71no—
515#2873—71no—
516C23×D7—21no—
517C23×D7C2×D411yescharacteristic
518C2×C7×Q8—21no—
519C2×C7×Q8C2411yescharacteristic
520C2×C7×D4—21no—
521C2×C7×D4—21no—
522C2×C7×D4—21no—
523C2×C7×D4—21no—
524C2×C7×D4—21no—
525C2×C7×D4C2411yescharacteristic
526C2×C7×D4C2411yescharacteristic
527C2×C7×D4C2411yescharacteristic
528C22×C4×C7—21no—
529C22×C4×C7—21no—
530C22×C4×C7—21no—
531C22×C4×C7C2411yescharacteristic
532C2×C22⋊D7—21no—
533C2×C22⋊D7—21no—
534C2×C22⋊D7—21no—
535C2×C22⋊D7—21no—
536C2×C22⋊D7—21no—
537C2×C22⋊D7—21no—
538C2×C22⋊D7—21no—
539C22×Dic7—21no—
540C22×Dic7—21no—
541C22×Dic7—21no—
542C22×Dic7—21no—
543C22×Dic7—21no—
544C22×Dic7C2×D411yescharacteristic
545Q8×D7—22no—
546Q8×D7—22no—
547Q8×D7—82no—
548#1159—22no—
549#1159—22no—
550#1159—22no—
551#1159—22no—
552D4×D7—22no—
553D4×D7—22no—
554D4×D7—82no—
555C2×D28—21no—
556C2×D28C2411yescharacteristic
557C2×C4×D7—22no—
558C2×C4×D7—22no—
559C2×C4×D7—21no—
560C2×C4×D7—21no—
561C2×C4×D7—21no—
562C2×C4×D7—21no—
563C2×C4×D7—21no—
564C2×C4×D7—82no—
565C2×C4×D7C2×D411yescharacteristic
566C2×C4×D7C2×D411yescharacteristic
567C2×C4×D7C2×D411yescharacteristic
568C2×C4×D7C2×D411yescharacteristic
569C2×C4×D7C2×D411yescharacteristic
570C2×C4×D7C2×D411yescharacteristic
571C2×C4×D7C2411yescharacteristic
572C2×C4×D7C2411yescharacteristic
573C2×Dic14—21no—
574C2×Dic14—21no—
575C2×Dic14—21no—
576C2×Dic14—21no—
577C2×Dic14—21no—
578C2×Dic14—21no—
579C2×Dic14C2411yescharacteristic
580C2×Dic14C2411yescharacteristic
581C2×Dic14C2411yescharacteristic
582C7×SD16—22no—
583C7×SD16—22no—
584C7×D8—22no—
585C7×D8—22no—
586C7×M16—22no—
587C2×C7×C8—22no—
588C2×C7×C8C2411yescharacteristic
589C2×C7×C8C2411yescharacteristic
590C2×C7×C8C2411yescharacteristic
591C2×C7×C8C2411yescharacteristic
592C7×C4⋊C4—21no—
593C7×C4⋊C4—21no—
594C7×C4⋊C4—21no—
595C7×C4⋊C4—21no—
596C7×C4⋊C4—21no—
597C7×C4⋊C4C2×D411yescharacteristic
598C7×C4⋊C4C2×D411yescharacteristic
599C7×C4⋊C4C2411yescharacteristic
600C7×C4⋊C4C2411yescharacteristic
601C7×C4⋊C4C2411yescharacteristic
602C7×C4⋊C4C2411yescharacteristic
603C7×C22⋊C4—21no—
604C7×C22⋊C4—21no—
605C7×C22⋊C4—21no—
606C7×C22⋊C4—21no—
607C7×C22⋊C4—21no—
608C7×C22⋊C4—21no—
609C7×C22⋊C4—21no—
610C7×C22⋊C4—21no—
611C7×C22⋊C4—21no—
612C7×C22⋊C4C2×D411yescharacteristic
613C7×C22⋊C4C2×D411yescharacteristic
614C42×C7—21no—
615C42×C7C2411yescharacteristic
616C42×C7C2411yescharacteristic
617C22⋊Dic7—21no—
618C22⋊Dic7—21no—
619C22⋊Dic7—21no—
620C22⋊Dic7—21no—
621C22⋊Dic7—21no—
622C22⋊Dic7—21no—
623C22⋊Dic7—21no—
624C22⋊Dic7—21no—
625C22⋊Dic7—21no—
626C22⋊Dic7—21no—
627C22⋊Dic7—21no—
628C22⋊Dic7—21no—
629C22⋊Dic7—21no—
630C22⋊Dic7—21no—
631C22⋊Dic7—21no—
632C22⋊Dic7C2×D411yescharacteristic
633C22⋊Dic7C2×D411yescharacteristic
634#1144—22no—
635#1144—22no—
636#1142—22no—
637#1142—22no—
638#1142—22no—
639#1142—22no—
640#1141—22no—
641#1141—22no—
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)⋊C4—21no—
651(C2×D7)⋊C4—21no—
652(C2×D7)⋊C4—21no—
653(C2×D7)⋊C4—21no—
654(C2×D7)⋊C4—21no—
655(C2×D7)⋊C4—21no—
656(C2×D7)⋊C4C2×D411yescharacteristic
657(C2×D7)⋊C4C2×D411yescharacteristic
658(C2×D7)⋊C4C2×D411yescharacteristic
659(C2×D7)⋊C4C2×D411yescharacteristic
660C4⋊Dic7—21no—
661C4⋊Dic7—21no—
662C4⋊Dic7—21no—
663C4⋊Dic7—21no—
664C4⋊Dic7—21no—
665C4⋊Dic7—21no—
666C4⋊Dic7—21no—
667C4⋊Dic7C2×D411yescharacteristic
668C4⋊Dic7C2×D411yescharacteristic
669C4⋊Dic7C2411yescharacteristic
670C4⋊Dic7C2411yescharacteristic
671C4⋊Dic7C2411yescharacteristic
672C4⋊Dic7C2411yescharacteristic
673Dic7⋊C4—21no—
674Dic7⋊C4—21no—
675Dic7⋊C4—21no—
676Dic7⋊C4—21no—
677Dic7⋊C4—21no—
678Dic7⋊C4—21no—
679Dic7⋊C4—21no—
680Dic7⋊C4—21no—
681Dic7⋊C4—21no—
682Dic7⋊C4—21no—
683Dic7⋊C4—21no—
684Dic7⋊C4—21no—
685Dic7⋊C4—21no—
686Dic7⋊C4—21no—
687Dic7⋊C4—21no—
688Dic7⋊C4—21no—
689Dic7⋊C4—21no—
690Dic7⋊C4—21no—
691Dic7⋊C4C2×D411yescharacteristic
692Dic7⋊C4C2×D411yescharacteristic
693Dic7⋊C4C2×D411yescharacteristic
694Dic7⋊C4C2×D411yescharacteristic
695C4×Dic7—21no—
696C4×Dic7—21no—
697C4×Dic7—21no—
698C4×Dic7—21no—
699C4×Dic7—21no—
700C4×Dic7—21no—
701C4×Dic7—21no—
702C4×Dic7—21no—
703C4×Dic7—21no—
704C4×Dic7C2×D411yescharacteristic
705C4×Dic7C2×D411yescharacteristic
706C4×Dic7C2×D411yescharacteristic
707C4×Dic7C2×D411yescharacteristic
708C4×Dic7C2411yescharacteristic
709C4×Dic7C2411yescharacteristic
710#1136—22no—
711C2×C7⋊C8—22no—
712C2×C7⋊C8C2411yescharacteristic
713C2×C7⋊C8C2411yescharacteristic
714C2×C7⋊C8C2411yescharacteristic
715C2×C7⋊C8C2411yescharacteristic
716Dic28—22no—
717Dic28—22no—
718#1132—22no—
719#1132—22no—
720#1131—22no—
721#1131—22no—
722#1131—22no—
723#1131—22no—
724#1131#4114yes—
725#1131#4114yes—
726C8×D7—22no—
727C8×D7—22no—
728C2×#137—71no—
729C2×#137—71no—
730C2×AGL(1,ℤ/8)—71no—
731C2×AGL(1,ℤ/8)—71no—
732C22×M16—71no—
733C22×M16—71no—
734#542—71no—
735#542—71no—
736#542—71no—
737#542—71no—
738#542—71no—
739#542—71no—
740#542—71no—
741#542—71no—
742#542—71no—
743#542—71no—
744#542—71no—
745#542—141no—
746#542—141no—
747#542—141no—
748#542—141no—
749#542C2×D711yescharacteristic
750#541—71no—
751#541—71no—
752#540—71no—
753#540C2×D711yescharacteristic, complemented
754#539—141no—
755#539—141no—
756#538—141no—
757#538—141no—
758#533—71no—
759#532—71no—
760C2×C4⋊Q8—71no—
761#529—141no—
762#529—141no—
763#529—141no—
764#529—141no—
765C2×#126—141no—
766C2×#124—71no—
767C2×#124—141no—
768#525—71no—
769#525—71no—
770C2×#123—141no—
771C2×C22⋊Q8—71no—
772C2×C22⋊Q8—141no—
773C2×#121—71no—
774C4×#41—71no—
775C4×#41—71no—
776C2×C4×Q8—71no—
777C2×C4×D4—71no—
778C2×#117—71no—
779#501—71no—
780#501—71no—
781#501—71no—
782#501C2×D711yescharacteristic, complemented
783#500—71no—
784#500—71no—
785#498—71no—
786#498—71no—
787#497—71no—
788#497—71no—
789#496—71no—
790#496C2×D711yescharacteristic, complemented
791#495—71no—
792#495—71no—
793#495—71no—
794#495—71no—
795#489—71no—
796#489—71no—
797#489—71no—
798#489—71no—
799#489—71no—
800#489—71no—
801#489—71no—
802#489—71no—
803#488—71no—
804#488—71no—
805#488—71no—
806#488C2×D711yescharacteristic, complemented
807#487—71no—
808#487—71no—
809#486—71no—
810#486C2×D711yescharacteristic, complemented
811#470—71no—
812#470—71no—
813#470—71no—
814#470—71no—
815#469—71no—
816#469—71no—
817#469—71no—
818#469C2×D711yescharacteristic
819#468—71no—
820#468—71no—
821#468—71no—
822#468—71no—
823#468—71no—
824#468—71no—
825#468—71no—
826#468C2×D711yescharacteristic, complemented
827#467—71no—
828#467—71no—
829#467—71no—
830#467—71no—
831#466—71no—
832#466—71no—
833#466—71no—
834#466C2×D711yescharacteristic
835#465—71no—
836#465—71no—
837#465—71no—
838#465—71no—
839#465—71no—
840#465—71no—
841#465—71no—
842#465C2×D711yescharacteristic, complemented
843#442—71no—
844#442—71no—
845#442—71no—
846#442C2×D711yescharacteristic, complemented
847#441—71no—
848#441—71no—
849#441—71no—
850#441—71no—
851#440—71no—
852#440—71no—
853#440—71no—
854#440—71no—
855#440—71no—
856#440—71no—
857#440—71no—
858#440C2×D711yescharacteristic, complemented
859C4×Q16—71no—
860C4×Q16—71no—
861C4×Q16—71no—
862C4×Q16—71no—
863C4×SD16—71no—
864C4×SD16—71no—
865C4×SD16—71no—
866C4×SD16—71no—
867C4×SD16—71no—
868C4×SD16—71no—
869C4×SD16—71no—
870C4×SD16C2×D711yescharacteristic, complemented
871C4×D8—71no—
872C4×D8—71no—
873C4×D8—71no—
874C4×D8C2×D711yescharacteristic, complemented
875#428—71no—
876#428—71no—
877#428—71no—
878#428—71no—
879#419—71no—
880#419—71no—
881#418—71no—
882#418—71no—
883#417—71no—
884#417—71no—
885#417—71no—
886#417—71no—
887#405—71no—
888#405—71no—
889#405—71no—
890#405—71no—
891#405—71no—
892#405—71no—
893#405—71no—
894#405C2×D711yescharacteristic, complemented
895C4×M16—71no—
896C4×M16—71no—
897C4×M16—71no—
898C4×M16—71no—
899C23×C7—21no—
900C23×C7—21no—
901C23×C7—21no—
902C23×C7C22×D411yescharacteristic
903C22×D7—22no—
904C22×D7—21no—
905C22×D7—41no—
906C22×D7—41no—
907C22×D7—42no—
908C22×D7—42no—
909C22×D7—42no—
910C22×D7C22×D411yescharacteristic
911C22×D7C22×D411yescharacteristic
912C7×Q8—21no—
913C7×Q8—21no—
914C7×Q8—81no—
915C7×D4—21no—
916C7×D4—21no—
917C7×D4—21no—
918C7×D4—21no—
919C7×D4—21no—
920C7×D4—21no—
921C7×D4—81no—
922C7×D4—81no—
923C7×D4—81no—
924C7×D4—81no—
925C7×D4—81no—
926C2×C4×C7—21no—
927C2×C4×C7—21no—
928C2×C4×C7—21no—
929C2×C4×C7—21no—
930C2×C4×C7—21no—
931C2×C4×C7—21no—
932C2×C4×C7—21no—
933C2×C4×C7—81no—
934C2×C4×C7—81no—
935C2×C4×C7—81no—
936C2×C4×C7C22×D411yescharacteristic
937C2×C4×C7C22×D411yescharacteristic
938C2×C4×C7C22×D411yescharacteristic
939C2×C4×C7C22×D411yescharacteristic
940C2×C4×C7C22×D411yescharacteristic
941C2×C4×C7C2511yescharacteristic
942C22⋊D7—42no—
943C22⋊D7—42no—
944C22⋊D7—42no—
945C22⋊D7—81no—
946C22⋊D7—81no—
947C22⋊D7—81no—
948C22⋊D7—81no—
949C2×Dic7—22no—
950C2×Dic7—21no—
951C2×Dic7—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—21no—
955C2×Dic7—21no—
956C2×Dic7—21no—
957C2×Dic7—42no—
958C2×Dic7—42no—
959C2×Dic7—81no—
960C2×Dic7—81no—
961C2×Dic7—81no—
962C2×Dic7C22×D411yescharacteristic
963C2×Dic7C22×D411yescharacteristic
964C2×Dic7C22×D411yescharacteristic
965C2×Dic7C22×D411yescharacteristic
966C2×Dic7C22×D411yescharacteristic
967C2×Dic7C22×D411yescharacteristic
968D28—21no—
969D28—21no—
970D28—81no—
971C4×D7—22no—
972C4×D7—21no—
973C4×D7—21no—
974C4×D7—22no—
975C4×D7—41no—
976C4×D7—41no—
977C4×D7—41no—
978C4×D7—41no—
979C4×D7—42no—
980C4×D7—42no—
981C4×D7—42no—
982C4×D7—81no—
983C4×D7—81no—
984C4×D7C2×#4112yes—
985C4×D7C2×#4112yes—
986Dic14—21no—
987Dic14—21no—
988Dic14—21no—
989Dic14—21no—
990Dic14—21no—
991Dic14—21no—
992Dic14—42no—
993Dic14—81no—
994Dic14—81no—
995Dic14—81no—
996Dic14—81no—
997Dic14—81no—
998C7×C8—21no—
999C7×C8—21no—
1000C7×C8C2×#4112yes—
1001C7×C8C2×#4112yes—
1002C7⋊C8—21no—
1003C7⋊C8—21no—
1004C7⋊C8C2×#4112yes—
1005C7⋊C8C2×#4112yes—
1006C2×#41—71no—
1007C2×#41—71no—
1008C22×Q8—71no—
1009C22×Q8—141no—
1010C22×D4—71no—
1011C22×D4—141no—
1012C23×C4—71no—
1013C23×C4—141no—
1014#137—144no—
1015#137—144no—
1016AGL(1,ℤ/8)—144no—
1017AGL(1,ℤ/8)—144no—
1018C2×Q16—71no—
1019C2×Q16—71no—
1020C2×Q16—71no—
1021C2×Q16—71no—
1022C2×SD16—71no—
1023C2×SD16—71no—
1024C2×SD16—71no—
1025C2×SD16—71no—
1026C2×SD16—71no—
1027C2×SD16—71no—
1028C2×SD16C22×D711yescharacteristic
1029C2×SD16C22×D711yescharacteristic
1030C2×D8—71no—
1031C2×D8—71no—
1032C2×D8C22×D711yescharacteristic
1033C2×D8C22×D711yescharacteristic
1034C2×M16—71no—
1035C2×M16—71no—
1036C2×M16—71no—
1037C2×M16—71no—
1038C2×M16—71no—
1039C2×M16—71no—
1040C2×M16—71no—
1041C2×M16—144no—
1042C2×M16—144no—
1043C2×M16C22×D711yescharacteristic
1044C22×C8—71no—
1045C22×C8—71no—
1046C22×C8—71no—
1047C22×C8C22×D711yescharacteristic
1048C4⋊Q8—71no—
1049C4⋊Q8—71no—
1050C4⋊Q8—71no—
1051C4⋊Q8—71no—
1052C4⋊Q8—71no—
1053C4⋊Q8—71no—
1054C4⋊Q8—141no—
1055C4⋊Q8—141no—
1056C4⋊Q8C22×D711yescharacteristic
1057#127C22×D711yescharacteristic
1058#126—21no—
1059#126—141no—
1060#126—141no—
1061#126—141no—
1062#126—141no—
1063#126—141no—
1064#126—141no—
1065#126—141no—
1066#126—141no—
1067#126—141no—
1068#126—141no—
1069#126—141no—
1070#126—141no—
1071#126—141no—
1072#126—141no—
1073#126—141no—
1074#125—71no—
1075#125—141no—
1076#125—141no—
1077#125—141no—
1078#125—141no—
1079#125C22×D711yescharacteristic
1080#124—21no—
1081#124—71no—
1082#124—71no—
1083#124—71no—
1084#124—71no—
1085#124—71no—
1086#124—141no—
1087#124—141no—
1088#124—141no—
1089#124—141no—
1090#124—141no—
1091#124—141no—
1092#124—141no—
1093#124—141no—
1094#124—141no—
1095#124—141no—
1096#124—141no—
1097#124—141no—
1098#124—141no—
1099#124C22×D711yescharacteristic
1100#123—21no—
1101#123—21no—
1102#123—21no—
1103#123—141no—
1104#123—141no—
1105#123—141no—
1106#123—141no—
1107#123—141no—
1108#123—141no—
1109#123—141no—
1110#123—141no—
1111#123—141no—
1112#123—141no—
1113#123—141no—
1114#123—141no—
1115#123—141no—
1116#123—141no—
1117#123—141no—
1118C22⋊Q8—21no—
1119C22⋊Q8—71no—
1120C22⋊Q8—71no—
1121C22⋊Q8—71no—
1122C22⋊Q8—71no—
1123C22⋊Q8—71no—
1124C22⋊Q8—71no—
1125C22⋊Q8—71no—
1126C22⋊Q8—141no—
1127C22⋊Q8—141no—
1128C22⋊Q8—141no—
1129C22⋊Q8—141no—
1130C22⋊Q8—141no—
1131C22⋊Q8—141no—
1132C22⋊Q8—141no—
1133C22⋊Q8—141no—
1134C22⋊Q8—141no—
1135C22⋊Q8—141no—
1136C22⋊Q8—141no—
1137C22⋊Q8—141no—
1138C22⋊Q8—141no—
1139C22⋊Q8—141no—
1140C22⋊Q8—141no—
1141C22⋊Q8C22×D711yescharacteristic
1142#121—21no—
1143#121—21no—
1144#121—71no—
1145#121—71no—
1146#121—71no—
1147#121—71no—
1148#121—71no—
1149#121—141no—
1150#121—141no—
1151#121—141no—
1152#121—141no—
1153#121—141no—
1154#121—141no—
1155#121C22×D711yescharacteristic
1156#121C22×D711yescharacteristic
1157#121C22×D711yescharacteristic
1158#120—141no—
1159#120—141no—
1160C4×Q8—71no—
1161C4×Q8—71no—
1162C4×Q8—71no—
1163C4×Q8—71no—
1164C4×Q8—71no—
1165C4×Q8—71no—
1166C4×Q8—71no—
1167C4×Q8—141no—
1168C4×Q8—141no—
1169C4×Q8—141no—
1170C4×Q8—141no—
1171C4×Q8C22×D711yescharacteristic
1172C4×D4—71no—
1173C4×D4—71no—
1174C4×D4—71no—
1175C4×D4—71no—
1176C4×D4—71no—
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×D4C22×D711yescharacteristic
1190C4×D4C22×D711yescharacteristic
1191C4×D4C22×D711yescharacteristic
1192#117—71no—
1193#117—71no—
1194#117—71no—
1195#117—71no—
1196#117—71no—
1197#117—71no—
1198#117—71no—
1199#117—71no—
1200#117—71no—
1201#117—141no—
1202#117—141no—
1203#117C22×D711yescharacteristic
1204C2×C4⋊C4—71no—
1205C2×C4⋊C4—71no—
1206C2×C4⋊C4—71no—
1207C2×C4⋊C4—71no—
1208C2×C4⋊C4—141no—
1209C2×C4⋊C4—141no—
1210C2×C4⋊C4—141no—
1211C2×C22⋊C4—71no—
1212C2×C22⋊C4—71no—
1213C2×C22⋊C4—141no—
1214C2×C22⋊C4—141no—
1215C2×C22⋊C4—141no—
1216C2×C22⋊C4—141no—
1217C2×C22⋊C4—141no—
1218C2×C42—71no—
1219C2×C42—71no—
1220C2×C42—141no—
1221C2×C42—141no—
1222C2×C42—141no—
1223#107—71no—
1224#107—71no—
1225#107—71no—
1226#107—71no—
1227#107—71no—
1228#107—71no—
1229#107C22×D711yescharacteristic
1230#107C22×D711yescharacteristic
1231#106—71no—
1232#106—71no—
1233#106—71no—
1234#106—71no—
1235#106—71no—
1236#106—71no—
1237#106C22×D711yescharacteristic
1238#106C22×D711yescharacteristic
1239#103—71no—
1240#103—71no—
1241#103—71no—
1242#103—71no—
1243#103—71no—
1244#103—71no—
1245#103—71no—
1246#103—71no—
1247#103—71no—
1248#103—71no—
1249#103—71no—
1250#103—71no—
1251#103—71no—
1252#103—71no—
1253#103C22×D711yescharacteristic
1254#103C22×D711yescharacteristic
1255#102—71no—
1256#102—71no—
1257#102—71no—
1258#102—71no—
1259#102—71no—
1260#102—71no—
1261#102—71no—
1262#102—71no—
1263#102—71no—
1264#102—71no—
1265#102C22×D711yescharacteristic
1266#102C22×D711yescharacteristic
1267#102C22×D711yescharacteristic
1268#102C22×D711yescharacteristic
1269#102C22×D711yescharacteristic
1270#102C22×D711yescharacteristic
1271#97—71no—
1272#97—71no—
1273#97—71no—
1274#97—71no—
1275#97—71no—
1276#97—71no—
1277#97C22×D711yescharacteristic
1278#97C22×D711yescharacteristic
1279C4×C8—71no—
1280C4×C8—71no—
1281C4×C8—71no—
1282C4×C8—71no—
1283C4×C8—71no—
1284C4×C8—71no—
1285C4×C8C22×D711yescharacteristic
1286C4×C8C22×D711yescharacteristic
1287C22×C7—21no—
1288C22×C7—21no—
1289C22×C7—21no—
1290C22×C7—41no—
1291C22×C7—41no—
1292C22×C7—41no—
1293C22×C7—41no—
1294C22×C7—41no—
1295C22×C7—41no—
1296C22×C7—41no—
1297C22×C7—41no—
1298C22×C7—41no—
1299C22×C7C23×D411yescharacteristic
1300C2×D7—21no—
1301C2×D7—21no—
1302C2×D7—21no—
1303C2×D7—21no—
1304C2×D7—21no—
1305C2×D7—41no—
1306C2×D7—41no—
1307C2×D7—41no—
1308C2×D7—82no—
1309C2×D7—84no—
1310C2×D7#53212yes—
1311C4×C7—21no—
1312C4×C7—21no—
1313C4×C7—21no—
1314C4×C7—21no—
1315C4×C7—21no—
1316C4×C7—41no—
1317C4×C7—41no—
1318C4×C7—41no—
1319C4×C7—41no—
1320C4×C7—41no—
1321C4×C7C22×#4111yescharacteristic
1322C4×C7C22×#4111yescharacteristic
1323Dic7—21no—
1324Dic7—21no—
1325Dic7—21no—
1326Dic7—21no—
1327Dic7—21no—
1328Dic7—41no—
1329Dic7—41no—
1330Dic7—41no—
1331Dic7—41no—
1332Dic7—41no—
1333Dic7—41no—
1334Dic7—41no—
1335Dic7#53212yes—
1336C24—71no—
1337C24—141no—
1338#41—142no—
1339#41—142no—
1340#41—142no—
1341#41—142no—
1342C2×Q8—21no—
1343C2×Q8—71no—
1344C2×Q8—71no—
1345C2×Q8—71no—
1346C2×Q8—141no—
1347C2×Q8—141no—
1348C2×Q8—141no—
1349C2×Q8—141no—
1350C2×Q8—141no—
1351C2×Q8—142no—
1352C2×Q8—142no—
1353C2×Q8—141no—
1354C2×Q8—562no—
1355C2×Q8C23×D711yescharacteristic
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—71no—
1362C2×D4—141no—
1363C2×D4—142no—
1364C2×D4—142no—
1365C2×D4—141no—
1366C2×D4—141no—
1367C2×D4—141no—
1368C2×D4—141no—
1369C2×D4—141no—
1370C2×D4—141no—
1371C2×D4—141no—
1372C2×D4—562no—
1373C2×D4C23×D711yescharacteristic
1374C2×D4C23×D711yescharacteristic
1375C2×D4C23×D711yescharacteristic
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—71no—
1380C22×C4—71no—
1381C22×C4—71no—
1382C22×C4—71no—
1383C22×C4—71no—
1384C22×C4—71no—
1385C22×C4—71no—
1386C22×C4—71no—
1387C22×C4—71no—
1388C22×C4—142no—
1389C22×C4—142no—
1390C22×C4—141no—
1391C22×C4—141no—
1392C22×C4—141no—
1393C22×C4—141no—
1394C22×C4—141no—
1395C22×C4—141no—
1396C22×C4—141no—
1397C22×C4—141no—
1398C22×C4—141no—
1399C22×C4—141no—
1400C22×C4—562no—
1401C22×C4C23×D711yescharacteristic
1402Q16—142no—
1403Q16—142no—
1404Q16—142no—
1405Q16—142no—
1406SD16—22no—
1407SD16—22no—
1408SD16—142no—
1409SD16—142no—
1410SD16—142no—
1411SD16—142no—
1412SD16—142no—
1413SD16—142no—
1414D8—22no—
1415D8—22no—
1416D8—142no—
1417D8—142no—
1418M16—22no—
1419M16—74no—
1420M16—74no—
1421M16—142no—
1422M16—142no—
1423M16—142no—
1424M16—142no—
1425M16—142no—
1426C2×C8—22no—
1427C2×C8—71no—
1428C2×C8—71no—
1429C2×C8—71no—
1430C2×C8—71no—
1431C2×C8—142no—
1432C2×C8—142no—
1433C2×C8—142no—
1434C2×C8C23×D711yescharacteristic
1435C2×C8C23×D711yescharacteristic
1436C2×C8C23×D711yescharacteristic
1437C2×C8C23×D711yescharacteristic
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—71no—
1444C4⋊C4—71no—
1445C4⋊C4—71no—
1446C4⋊C4—71no—
1447C4⋊C4—71no—
1448C4⋊C4—71no—
1449C4⋊C4—71no—
1450C4⋊C4—71no—
1451C4⋊C4—71no—
1452C4⋊C4—71no—
1453C4⋊C4—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⋊C4D4×D711yescharacteristic
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—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—71no—
1494C22⋊C4—71no—
1495C22⋊C4—71no—
1496C22⋊C4—71no—
1497C22⋊C4—71no—
1498C22⋊C4—71no—
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⋊C4—141no—
1515C22⋊C4—141no—
1516C22⋊C4—141no—
1517C22⋊C4—141no—
1518C22⋊C4—141no—
1519C22⋊C4—141no—
1520C22⋊C4—141no—
1521C22⋊C4—141no—
1522C22⋊C4—141no—
1523C22⋊C4—141no—
1524C22⋊C4—141no—
1525C22⋊C4—141no—
1526C22⋊C4—141no—
1527C22⋊C4—141no—
1528C22⋊C4D4×D711yescharacteristic
1529C22⋊C4D4×D711yescharacteristic
1530C42—21no—
1531C42—71no—
1532C42—71no—
1533C42—71no—
1534C42—71no—
1535C42—71no—
1536C42—71no—
1537C42—141no—
1538C42—141no—
1539C42—141no—
1540C42—141no—
1541C42—141no—
1542C42—141no—
1543C42—141no—
1544C42—141no—
1545C42—141no—
1546C42C23×D711yescharacteristic
1547C42C23×D711yescharacteristic
1548C2×C7—41no—
1549C2×C7—81no—
1550C2×C7—81no—
1551C2×C7—81no—
1552C2×C7C2×#53211yescharacteristic
1553C2×C7#358511yescharacteristic
1554C2×C7#358611yescharacteristic
1555D7—22no—
1556D7—41no—
1557D7—81no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—71no—
1562C23—71no—
1563C23—142no—
1564C23—141no—
1565C23—281no—
1566C23—281no—
1567C23—282no—
1568C23—282no—
1569C23—282no—
1570C23C2×D4×D711yescharacteristic
1571Q8—21no—
1572Q8—21no—
1573Q8—81no—
1574Q8—141no—
1575Q8—141no—
1576Q8—141no—
1577Q8—141no—
1578Q8—141no—
1579Q8—141no—
1580Q8—282no—
1581Q8—561no—
1582Q8—561no—
1583Q8—561no—
1584Q8—561no—
1585Q8—561no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—81no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597D4—141no—
1598D4—141no—
1599D4—282no—
1600D4—282no—
1601D4—282no—
1602D4—561no—
1603D4—561no—
1604D4—561no—
1605D4—561no—
1606D4—561no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—71no—
1615C2×C4—72no—
1616C2×C4—72no—
1617C2×C4—71no—
1618C2×C4—71no—
1619C2×C4—71no—
1620C2×C4—71no—
1621C2×C4—71no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—81no—
1625C2×C4—142no—
1626C2×C4—142no—
1627C2×C4—142no—
1628C2×C4—141no—
1629C2×C4—141no—
1630C2×C4—141no—
1631C2×C4—141no—
1632C2×C4—141no—
1633C2×C4—141no—
1634C2×C4—141no—
1635C2×C4—141no—
1636C2×C4—141no—
1637C2×C4—281no—
1638C2×C4—281no—
1639C2×C4—281no—
1640C2×C4—281no—
1641C2×C4—282no—
1642C2×C4—282no—
1643C2×C4—282no—
1644C2×C4—282no—
1645C2×C4—282no—
1646C2×C4—561no—
1647C2×C4—561no—
1648C2×C4—561no—
1649C2×C4—561no—
1650C2×C4—561no—
1651C2×C4C2×D4×D711yescharacteristic
1652C2×C4C2×D4×D711yescharacteristic
1653C2×C4C2×D4×D711yescharacteristic
1654C2×C4C2×D4×D711yescharacteristic
1655C2×C4C2×D4×D711yescharacteristic
1656C2×C4C24×D711yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—72no—
1660C8—72no—
1661C8—141no—
1662C8—141no—
1663C8D7×#4112yes—
1664C8D7×#4112yes—
1665C7#6070311yescharacteristic, complemented, Sylow
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—72no—
1679C22—141no—
1680C22—141no—
1681C22—141no—
1682C22—141no—
1683C22—141no—
1684C22—281no—
1685C22—281no—
1686C22—281no—
1687C22—562no—
1688C22—564no—
1689C22C22×D4×D711yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—72no—
1701C4—141no—
1702C4—141no—
1703C4—141no—
1704C4—141no—
1705C4—141no—
1706C4—281no—
1707C4—281no—
1708C4—281no—
1709C4—281no—
1710C4—281no—
1711C4—281no—
1712C4—281no—
1713C4C2×D7×#4111yescharacteristic
1714C4C2×D7×#4111yescharacteristic
1715C2—41no—
1716C2—81no—
1717C2—81no—
1718C2—81no—
1719C2—142no—
1720C2—281no—
1721C2—561no—
1722C2D7×#53211yescharacteristic
1723C2#1174427211yescharacteristic
1724C2#1174427611yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3179C2
socleC22×C7C23×D4
hypercenter#3179D7
hypocenterC7#60703
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. D7×#542C2semidirect
2. #11743535C2semidirect
3. C7×#3179C2semidirect
4. #11740903C2semidirect
5. #11740878C2semidirect
6. #11739421C2semidirect
7. #11739405C2semidirect
8. #11739291C2semidirect
9. #11739282C2semidirect
10. #11739085C2semidirect
11. #11739074C2semidirect
12. #11739010C2semidirect
13. #11739003C2semidirect
14. #11738309C2semidirect
15. #11738294C2semidirect
16. #11738251C2semidirect
17. #11738232C2semidirect
18. #11738160C2semidirect
19. #11738143C2semidirect
20. #11738103C2semidirect
21. #11738079C2semidirect
22. #11737310C2semidirect
23. #11737304C2semidirect
24. #11737219C2semidirect
25. #11737213C2semidirect
26. #11737111C2semidirect
27. C4×#6478C2semidirect
28. #11737045C2semidirect
29. C4×#6474C2semidirect
30. #11736015C2semidirect
31. #11735993C2semidirect
33. C7×#540C22semidirect
42. #90410C22semidirect
46. #90388C22semidirect
68. #90294C22semidirect
69. #90294C22semidirect
75. #90252C22semidirect
76. #90252C22semidirect
82. #90209C22semidirect
83. C7×#501C22semidirect
84. C7×#496C22semidirect
85. C7×#488C22semidirect
86. C7×#486C22semidirect
88. C7×#468C22semidirect
90. C7×#465C22semidirect
91. C7×#442C22semidirect
92. C7×#440C22semidirect
93. C4×C7×SD16C22semidirect
94. C4×C7×D8C22semidirect
95. C7×#405C22semidirect
96. #89946C22semidirect
97. #89943C22semidirect
98. #89940C22semidirect
99. #89940C22semidirect
100. #89936C22semidirect
101. SD16×Dic7C22semidirect
104. #89927C22semidirect
105. #89927C22semidirect
106. #89924C22semidirect
107. D8×Dic7C22semidirect
108. #89909C22semidirect
110. #89894C22semidirect
111. #89888C22semidirect
113. #89873C22semidirect
114. #89865C22semidirect
115. #89852C22semidirect
116. #89846C22semidirect
117. #89842C22semidirect
118. #89840C22semidirect
119. #89837C22semidirect
120. #89832C22semidirect
121. #89828C22semidirect
122. #89824C22semidirect
123. #89823C22semidirect
125. #89814C22semidirect
127. #89813C22semidirect
130. #89802C22semidirect
131. C4×#1144C22semidirect
132. #89790C22semidirect
133. #89790C22semidirect
134. C4×#1142C22semidirect
135. C4×#1142C22semidirect
136. #89786C22semidirect
137. C4×#1141C22semidirect
138. #89769C22semidirect
139. #89661C22semidirect
140. #89659C22semidirect
144. #89646C22semidirect
145. #89646C22semidirect
146. #89645C22semidirect
147. #89640C22semidirect
151. #89627C22semidirect
152. #89627C22semidirect
153. #89625C22semidirect
154. #89624C22semidirect
155. #89588C22semidirect
156. #89585C22semidirect
159. #89567C22semidirect
160. #89567C22semidirect
161. #89562C22semidirect
162. #89561C22semidirect
163. #89557C22semidirect
166. #89552C22semidirect
168. #89550C22semidirect
176. #89537C22semidirect
177. #89537C22semidirect
178. #89537C22semidirect
179. #89537C22semidirect
180. #89537C22semidirect
181. #89537C22semidirect
182. #89530C22semidirect
183. #89530C22semidirect
184. #89529C22semidirect
185. #89529C22semidirect
186. #89528C22semidirect
187. #89488C22semidirect
188. #89487C22semidirect
189. #89482C22semidirect
190. #89480C22semidirect
191. #89480C22semidirect
194. #89474C22semidirect
195. C4×Dic28C22semidirect
196. #89469C22semidirect
197. C4×#1132C22semidirect
198. #89461C22semidirect
199. #89461C22semidirect
202. #89453C22semidirect
490. #3179D7semidirect
753. #540C2×D7semidirect
782. #501C2×D7semidirect
790. #496C2×D7semidirect
806. #488C2×D7semidirect
810. #486C2×D7semidirect
826. #468C2×D7semidirect
842. #465C2×D7semidirect
846. #442C2×D7semidirect
858. #440C2×D7semidirect
870. C4×SD16C2×D7semidirect
874. C4×D8C2×D7semidirect
894. #405C2×D7semidirect
1665. C7#60703semidirect

Maximal subgroups

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

subgroupindex
D7×#5422
#117435352
C7×#31792
#117409032
#117408782
#117394212
#117394052
#117392912
#117392822
#117390852
#117390742
#117390102
#117390032
#117383092
#117382942
#117382512
#117382322
#117381602
#117381432
#117381032
#117380792
#117373102
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