Finite Group Databasebeta

← #14236199

Subgroups — #14236199

Order 1792.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11743786C211yesmaximal, characteristic, complemented
2#11743749C211yesmaximal, characteristic, complemented
3C7×#3308C211yesmaximal, characteristic, complemented
4#11740990C211yesmaximal, characteristic, complemented
5#11740962C211yesmaximal, characteristic, complemented
6#11739121C211yesmaximal, characteristic, complemented
7#11739111C211yesmaximal, characteristic, complemented
8#11738909C211yesmaximal, characteristic, complemented
9#11738901C211yesmaximal, characteristic, complemented
10#11738737C211yesmaximal, characteristic, complemented
11#11738716C211yesmaximal, characteristic, complemented
12#11738581C211yesmaximal, characteristic, complemented
13#11738541C211yesmaximal, characteristic, complemented
14#11738272C211yesmaximal, characteristic, complemented
15#11738231C211yesmaximal, characteristic, complemented
16#11738177C211yesmaximal, characteristic, complemented
17#11738141C211yesmaximal, characteristic, complemented
18#11737969C211yesmaximal, characteristic, complemented
19#11737953C211yesmaximal, characteristic, complemented
20#11737571C211yesmaximal, characteristic, complemented
21#11737517C211yesmaximal, characteristic, complemented
22#11737508C211yesmaximal, characteristic, complemented
23#11737476C211yesmaximal, characteristic, complemented
24#11737222C211yesmaximal, characteristic, complemented
25#11737199C211yesmaximal, characteristic, complemented
26#11736948C211yesmaximal, characteristic, complemented
27#11736899C211yesmaximal, characteristic, complemented
28#11736349C211yesmaximal, characteristic, complemented
29#11736314C211yesmaximal, characteristic, complemented
30#11736255C211yesmaximal, characteristic, complemented
31C2×#89560C211yesmaximal, characteristic, complemented
32C7×#548C2211yescharacteristic, complemented
33C7×#547C2211yescharacteristic
34#90522C2211yescharacteristic, complemented
35#90520—21no—
36#90519—21no—
37#90518C2211yescharacteristic, complemented
38C2×#6513C2211yescharacteristic
39Q8×C22⋊D7C2211yescharacteristic
40C2×Q8×Dic7C2211yescharacteristic, complemented
41C22×#1143C2211yescharacteristic
42C2×D7×SD16C2211yescharacteristic
43#90424C2211yescharacteristic
44#90421C2211yescharacteristic
45#90373—21no—
46#90373C2211yescharacteristic, complemented
47#90362—21no—
48#90362C2211yescharacteristic, complemented
49#90352—21no—
50#90349—21no—
51#90348—21no—
52D7×#123—21no—
53#90333—21no—
54#90333C2211yescharacteristic, complemented
55#90329—21no—
56#90328—21no—
57#90316—21no—
58#90316C2211yescharacteristic, complemented
59#90310C2211yescharacteristic
60#90309—21no—
61#90309C2211yescharacteristic
62#90303C2211yescharacteristic
63#90300C2211yescharacteristic
64#90291—21no—
65#90291C2211yescharacteristic
66#90291C2211yescharacteristic, complemented
67#90263C2211yescharacteristic, complemented
68#90261C2211yescharacteristic, complemented
69#90250C2211yescharacteristic
70#90241C2211yescharacteristic
71#90236C2211yescharacteristic
72#90234—21no—
73#90234C2211yescharacteristic, complemented
74#90229—21no—
75#90229C2211yescharacteristic
76#90205C2211yescharacteristic
77#90204C2211yescharacteristic
78#90195C2211yescharacteristic
79C2×#6456C2211yescharacteristic
80C7×#489C2211yescharacteristic, complemented
81C7×#484C2211yescharacteristic, complemented
82C7×#480C2211yescharacteristic, complemented
83C7×#477C2211yescharacteristic, complemented
84C7×#468C2211yescharacteristic, complemented
85C7×#466C2211yescharacteristic
86C7×#463C2211yescharacteristic, complemented
87C7×#449C2211yescharacteristic, complemented
88C7×#448C2211yescharacteristic
89C7×#440C2211yescharacteristic, complemented
90C7×#435C2211yescharacteristic, complemented
91C7×#417C2211yescharacteristic, complemented
92C2×C7×#103C2211yescharacteristic, complemented
93#90010C2211yescharacteristic, complemented
94#90000C2211yescharacteristic, complemented
95#89947C2211yescharacteristic
96#89941C2211yescharacteristic
97#89938C2211yescharacteristic, complemented
98#89938C2211yescharacteristic, complemented
99#89936C2211yescharacteristic, complemented
100#89936C2211yescharacteristic, complemented
101#89935C2211yescharacteristic
102#89928C2211yescharacteristic
103#89927C2211yescharacteristic, complemented
104#89922C2211yescharacteristic
105D8×Dic7C2211yescharacteristic, complemented
106#89906C2211yescharacteristic, complemented
107#89905C2211yescharacteristic
108#89900C2211yescharacteristic, complemented
109#89894C2211yescharacteristic, complemented
110#89888C2211yescharacteristic, complemented
111C2×#6395C2211yescharacteristic
112#89883C2211yescharacteristic
113C2×C8×Dic7C2211yescharacteristic, complemented
114#89866C2211yescharacteristic, complemented
115#89851C2211yescharacteristic, complemented
116#89831C2211yescharacteristic, complemented
117#89829C2211yescharacteristic
118#89820C2211yescharacteristic, complemented
119#89819C2211yescharacteristic
120#89813C2211yescharacteristic
121#89813C2211yescharacteristic, complemented
122#89813C2211yescharacteristic, complemented
123#89808C2211yescharacteristic
124#89806C2211yescharacteristic
125#89806C2211yescharacteristic, complemented
126#89800C2211yescharacteristic, complemented
127C4×#1143C2211yescharacteristic
128C4×#1142C2211yescharacteristic, complemented
129D4×C7⋊C8C2211yescharacteristic, complemented
130#89780C2211yescharacteristic, complemented
131#89743C2211yescharacteristic, complemented
132#89743C2211yescharacteristic, complemented
133C2×#6382C2211yescharacteristic, complemented
134C2×#6382C2211yescharacteristic, complemented
135#89663C2211yescharacteristic
136#89663C2211yescharacteristic
137#89663C2211yescharacteristic, complemented
138#89661C2211yescharacteristic
139#89661C2211yescharacteristic, complemented
140#89660C2211yescharacteristic, complemented
141#89657C2211yescharacteristic
142#89652C2211yescharacteristic, complemented
143#89650C2211yescharacteristic, complemented
144#89650C2211yescharacteristic, complemented
145#89649C2211yescharacteristic, complemented
146#89645C2211yescharacteristic, complemented
147#89618C2211yescharacteristic
148#89617C2211yescharacteristic, complemented
149#89612C2211yescharacteristic, complemented
150#89602C2211yescharacteristic, complemented
151#89590C2211yescharacteristic
152#89588C2211yescharacteristic, complemented
153#89586C2211yescharacteristic, complemented
154#89580C2211yescharacteristic, complemented
155#89579C2211yescharacteristic
156#89578C2211yescharacteristic
157#89574C2211yescharacteristic, complemented
158#89569C2211yescharacteristic, complemented
159#89568C2211yescharacteristic, complemented
160#89568C2211yescharacteristic, complemented
161#89568C2211yescharacteristic, complemented
162#89565C2211yescharacteristic, complemented
163#89561C2211yescharacteristic, complemented
164#89561C2211yescharacteristic, complemented
165#89561C2211yescharacteristic, complemented
166#89560C2211yescharacteristic
167#89560C2211yescharacteristic
168#89560C2211yescharacteristic
169#89560C2211yescharacteristic
170#89560C2211yescharacteristic
171#89560C2211yescharacteristic, complemented
172#89560C2211yescharacteristic, complemented
173#89560C2211yescharacteristic, complemented
174#89560C2211yescharacteristic, complemented
175#89559C2211yescharacteristic
176#89559C2211yescharacteristic, complemented
177#89557C2211yescharacteristic
178#89557C2211yescharacteristic
179#89557C2211yescharacteristic, complemented
180#89556C2211yescharacteristic, complemented
181#89554C2211yescharacteristic
182#89550C2211yescharacteristic, complemented
183#89542C2211yescharacteristic
184#89540C2211yescharacteristic, complemented
185#89540C2211yescharacteristic, complemented
186#89538C2211yescharacteristic, complemented
187#89536C2211yescharacteristic
188#89530C2211yescharacteristic, complemented
189#89530C2211yescharacteristic, complemented
190#89530C2211yescharacteristic, complemented
191#89508C2211yescharacteristic, complemented
192#89505C2211yescharacteristic
193#89503C2211yescharacteristic
194(C22⋊D7)⋊C8C2211yescharacteristic
195(C22⋊D7)⋊C8C2211yescharacteristic, complemented
196#89494C2211yescharacteristic, complemented
197#89492C2211yescharacteristic, complemented
198#89491C2211yescharacteristic, complemented
199#89486C2211yescharacteristic, complemented
200#89482C2211yescharacteristic
201#89480C2211yescharacteristic, complemented
202#89473C2211yescharacteristic, complemented
203#61472—71nomaximal, Sylow
204C2×C7×#41—21no—
205C2×C7×#41C2311yescharacteristic
206C22×C7×Q8C2311yescharacteristic
207C2×Q8×D7C2311yescharacteristic
208C2×D4×D7—21no—
209C2×D4×D7C2311yescharacteristic
210C2×#1157C2311yescharacteristic
211C22×D28C2311yescharacteristic
212C22×C4×D7—21no—
213C2×C7×SD16C2311yescharacteristic
214C2×C7×SD16C2311yescharacteristic
215C2×C7×D8C2311yescharacteristic
216C2×C7×M16C2311yescharacteristic
217C22×C7×C8C2311yescharacteristic
218C7×C4⋊Q8C2311yescharacteristic
219C7×#124—21no—
220C7×#124C2311yescharacteristic
221C7×#123—21no—
222C7×#123—21no—
223C7×C22⋊Q8—21no—
224C7×C22⋊Q8—21no—
225C7×C22⋊Q8C2311yescharacteristic
226C7×#121—21no—
227C7×#121C2311yescharacteristic
228C7×#121C2311yescharacteristic
229C7×#121C2311yescharacteristic
230C4×C7×Q8C2311yescharacteristic
231C4×C7×D4—21no—
232C4×C7×D4C2311yescharacteristic
233C4×C7×D4C2311yescharacteristic
234C2×C7×C4⋊C4C2311yescharacteristic
235C2×C7×C4⋊C4C2311yescharacteristic
236#6513—24no—
237#6510—21no—
238#6509—21no—
239#6509—21no—
240#6509—21no—
241#6509—21no—
242#6509C2311yescharacteristic
243Q8×Dic7—21no—
244Q8×Dic7—21no—
245Q8×Dic7C2311yescharacteristic
246Q8×Dic7C2311yescharacteristic
247Q8×Dic7C2311yescharacteristic
248Q8×Dic7C2311yescharacteristic
249Q8×Dic7C2311yescharacteristic
250#6507—21no—
251#6507C2311yescharacteristic
252C2×#1144C2311yescharacteristic
253C2×#1144C2311yescharacteristic
254C2×#1143—24no—
255C2×#1143C2311yescharacteristic
256C2×#1143C2311yescharacteristic
257C2×#1143C2311yescharacteristic
258C2×#1143C2311yescharacteristic
259#6503C2311yescharacteristic
260#6502—21no—
261#6502—21no—
262#6502D411yescharacteristic
263#6501—21no—
264#6501—21no—
265#6501—21no—
266#6501C2311yescharacteristic
267#6500—21no—
268#6500—21no—
269#6500—21no—
270#6499—21no—
271#6499C2311yescharacteristic
272#6499C2311yescharacteristic
273#6498—21no—
274#6498—21no—
275#6498D411yescharacteristic
276D4×Dic7—21no—
277D4×Dic7—21no—
278D4×Dic7—21no—
279D4×Dic7—21no—
280D4×Dic7—21no—
281D4×Dic7—21no—
282D4×Dic7C2311yescharacteristic
283D4×Dic7C2311yescharacteristic
284D4×Dic7C2311yescharacteristic
285C2×#1142C2311yescharacteristic
286C2×#1142C2311yescharacteristic
287C2×#1141C2311yescharacteristic
288C2×#1141C2311yescharacteristic
289#6493—21no—
290#6493C2311yescharacteristic
291#6492—21no—
292#6492—21no—
293C4×C22⋊D7—21no—
294C4×C22⋊D7—21no—
295C4×C22⋊D7—21no—
296C4×C22⋊D7—21no—
297C4×C22⋊D7—21no—
298C4×C22⋊D7—21no—
299C4×C22⋊D7—21no—
300C4×C22⋊D7C2311yescharacteristic
301C4×C22⋊D7C2311yescharacteristic
302C2×(C2×D7)⋊C4—21no—
303C2×(C2×D7)⋊C4—21no—
304#6489—21no—
305#6489—21no—
306#6489C2311yescharacteristic
307C2×C4⋊Dic7—21no—
308C2×C4⋊Dic7—21no—
309C2×C4⋊Dic7C2311yescharacteristic
310C2×C4⋊Dic7C2311yescharacteristic
311#6487—21no—
312#6487—21no—
313#6487C2311yescharacteristic
314#6487C2311yescharacteristic
315#6487C2311yescharacteristic
316C2×C4×Dic7—21no—
317C2×C4×Dic7C2311yescharacteristic
318C22×C7⋊C8C2311yescharacteristic
319C22×C7⋊C8C2311yescharacteristic
320D7×SD16—24no—
321C2×Dic28C2311yescharacteristic
322C2×#1132C2311yescharacteristic
323C2×#1132C2311yescharacteristic
324C2×#1131C2311yescharacteristic
325C2×C8×D7C2311yescharacteristic
326#6461—21no—
327#6461—21no—
328#6461—21no—
329#6461—21no—
330#6461D411yescharacteristic
331#6460—21no—
332#6460C2311yescharacteristic
333#6458C2311yescharacteristic
334#6457—21no—
335#6457—21no—
336#6457—21no—
337#6456—21no—
338#6456—21no—
339#6456C2311yescharacteristic
340#6456C2311yescharacteristic
341#6456C2311yescharacteristic
342#6456C2311yescharacteristic
343#6456C2311yescharacteristic
344#6455—21no—
345#6455—21no—
346#6455C2311yescharacteristic
347#6455C2311yescharacteristic
348D7×C4⋊C4—21no—
349D7×C4⋊C4—21no—
350#6453—21no—
351#6453—21no—
352#6453—21no—
353#6453—21no—
354#6453—21no—
355#6453C2311yescharacteristic
356#6453C2311yescharacteristic
357#6453C2311yescharacteristic
358#6453C2311yescharacteristic
359#6452—21no—
360#6452—21no—
361#6452D411yescharacteristic
362#6450—21no—
363#6450C2311yescharacteristic
364#6450C2311yescharacteristic
365#6450C2311yescharacteristic
366#6449—21no—
367#6449—21no—
368#6449—21no—
369#6449—21no—
370#6449D411yescharacteristic
371#6448—21no—
372#6448—21no—
373#6448D411yescharacteristic
374#6447—21no—
375#6447—21no—
376#6446—21no—
377#6446—21no—
378#6446—21no—
379#6445—21no—
380(C22⋊D7)⋊C4—21no—
381D7×C22⋊C4—21no—
382D7×C22⋊C4—21no—
383D7×C22⋊C4—21no—
384#6442—21no—
385#6442—21no—
386#6442—21no—
387#6442—21no—
388#6442—21no—
389#6442—21no—
390#6442—21no—
391#6442—21no—
392#6442D411yescharacteristic
393#6441—21no—
394#6441—21no—
395#6441—21no—
396#6441—21no—
397#6441D411yescharacteristic
398#6440—21no—
399#6440—21no—
400#6440—21no—
401#6440—21no—
402#6438C2311yescharacteristic
403C4×D28C2311yescharacteristic
404#6435—21no—
405#6435C2311yescharacteristic
406#6432—21no—
407#6432C2311yescharacteristic
408C4×Dic14—21no—
409C4×Dic14—21no—
410C4×Dic14C2311yescharacteristic
411C4×Dic14C2311yescharacteristic
412C7×#107C2311yescharacteristic
413C7×#107C2311yescharacteristic
414C7×#107C2311yescharacteristic
415C7×C4⋊C8C2311yescharacteristic
416C7×#103C2311yescharacteristic
417C7×#103C2311yescharacteristic
418C7×#103C2311yescharacteristic
419C7×#103C2311yescharacteristic
420C7×#103C2311yescharacteristic
421C7×#103C2311yescharacteristic
422C7×#102C2311yescharacteristic
423C7×#102C2311yescharacteristic
424C7×#102C2311yescharacteristic
425C7×#102C2311yescharacteristic
426C7×C22⋊C8C2311yescharacteristic
427C7×C22⋊C8C2311yescharacteristic
428C7×#97C2311yescharacteristic
429#6409C2311yescharacteristic
430#6409C2311yescharacteristic
431#6406C2311yescharacteristic
432#6406C2311yescharacteristic
433#6406C2311yescharacteristic
434#6406C2311yescharacteristic
435C22⋊(C7⋊C8)C2311yescharacteristic
436C22⋊(C7⋊C8)C2311yescharacteristic
437#6395C2311yescharacteristic
438#6395C2311yescharacteristic
439#6395C2311yescharacteristic
440#6395C2311yescharacteristic
441#6395C2311yescharacteristic
442#6395C2311yescharacteristic
443(C2×D7)⋊C8C2311yescharacteristic
444(C2×D7)⋊C8C2311yescharacteristic
445#6392C2311yescharacteristic
446#6392C2311yescharacteristic
447#6392C2311yescharacteristic
448#6390C2311yescharacteristic
449#6390C2311yescharacteristic
450#6390C2311yescharacteristic
451#6390C2311yescharacteristic
452#6389C2311yescharacteristic
453#6389C2311yescharacteristic
454#6389C2311yescharacteristic
455Dic7⋊C8C2311yescharacteristic
456Dic7⋊C8C2311yescharacteristic
457Dic7⋊C8C2311yescharacteristic
458Dic7⋊C8C2311yescharacteristic
459C8×Dic7C2311yescharacteristic
460C8×Dic7C2311yescharacteristic
461C8×Dic7C2311yescharacteristic
462C8×Dic7C2311yescharacteristic
463C8×Dic7C2311yescharacteristic
464#6384C2311yescharacteristic
465#6384C2311yescharacteristic
466#6384C2311yescharacteristic
467#6384C2311yescharacteristic
468#6383C2311yescharacteristic
469#6383C2311yescharacteristic
470#6382C2311yescharacteristic
471#6382C2311yescharacteristic
472#6382C2311yescharacteristic
473#6382C2311yescharacteristic
474#6382C2311yescharacteristic
475#6382C2311yescharacteristic
476#6382C2311yescharacteristic
477#6382C2311yescharacteristic
478#6382C2311yescharacteristic
479#6382C2311yescharacteristic
480C4⋊(C7⋊C8)C2311yescharacteristic
481C4×C7⋊C8C2311yescharacteristic
482#3516—71no—
483#3513—71no—
484#3394—71no—
485#3381—71no—
486#3376—71no—
487#3371—71no—
488#3337—71no—
489#3337—71no—
490#3335—71no—
491#3326—71no—
492#3323—71no—
493#3318—71no—
494#3314—71no—
495#3312—71no—
496#3308D711yescharacteristic, complemented
497#3282—71no—
498#3282—71no—
499D4×SD16—71no—
500#3174—71no—
501#3173—71no—
502#3168—71no—
503#3121—71no—
504#3120—71no—
505#3119—71no—
506#3118—71no—
507#3117—71no—
508#3114—71no—
509#2966—71no—
510#2952—71no—
511#2949—71no—
512C2×C4×SD16—71no—
513C23×D7—21no—
514C23×D7—21no—
515C7×#41—22no—
516C7×#41—41no—
517C7×#41—82no—
518C2×C7×Q8—21no—
519C2×C7×Q8—21no—
520C2×C7×Q8—22no—
521C2×C7×Q8—41no—
522C2×C7×Q8C2411yescharacteristic
523C2×C7×Q8C2411yescharacteristic
524C2×C7×D4—21no—
525C2×C7×D4—21no—
526C2×C7×D4—21no—
527C2×C7×D4—21no—
528C2×C7×D4C2×D411yescharacteristic
529C2×C7×D4C2411yescharacteristic
530C2×C7×D4C2411yescharacteristic
531C22×C4×C7—21no—
532C22×C4×C7—21no—
533C22×C4×C7—21no—
534C22×C4×C7—21no—
535C22×C4×C7—21no—
536C22×C4×C7C2411yescharacteristic
537C22×C4×C7C2411yescharacteristic
538C2×C22⋊D7—21no—
539C2×C22⋊D7—21no—
540C2×C22⋊D7—21no—
541C2×C22⋊D7—21no—
542C2×C22⋊D7—21no—
543C2×C22⋊D7—21no—
544C2×C22⋊D7C2×D411yescharacteristic
545C2×C22⋊D7C2×D411yescharacteristic
546C22×Dic7—21no—
547C22×Dic7—21no—
548C22×Dic7—21no—
549C22×Dic7—21no—
550C22×Dic7—21no—
551C22×Dic7C2×D411yescharacteristic
552C22×Dic7C2×D411yescharacteristic
553Q8×D7—22no—
554Q8×D7—41no—
555D4×D7—22no—
556D4×D7—41no—
557D4×D7—82no—
558#1157—22no—
559#1157—41no—
560C2×D28—22no—
561C2×D28—21no—
562C2×D28—21no—
563C2×D28—41no—
564C2×D28C2411yescharacteristic
565C2×D28C2411yescharacteristic
566C2×C4×D7—21no—
567C2×C4×D7—21no—
568C2×C4×D7—21no—
569C2×C4×D7—21no—
570C2×C4×D7—21no—
571C2×C4×D7—21no—
572C2×C4×D7—21no—
573C2×C4×D7—21no—
574C2×C4×D7—82no—
575C2×C4×D7C2411yescharacteristic
576C2×Dic14—21no—
577C2×Dic14—21no—
578C2×Dic14C2×D411yescharacteristic
579C2×Dic14C2411yescharacteristic
580C2×Dic14C2411yescharacteristic
581C7×SD16—22no—
582C7×SD16—41no—
583C7×D8—41no—
584C7×M16—41no—
585C2×C7×C8—41no—
586C2×C7×C8C2411yescharacteristic
587C2×C7×C8C2411yescharacteristic
588C2×C7×C8C2411yescharacteristic
589C2×C7×C8C2411yescharacteristic
590C7×C4⋊C4—21no—
591C7×C4⋊C4—21no—
592C7×C4⋊C4—21no—
593C7×C4⋊C4—21no—
594C7×C4⋊C4—21no—
595C7×C4⋊C4C2×D411yescharacteristic
596C7×C4⋊C4C2411yescharacteristic
597C7×C4⋊C4C2411yescharacteristic
598C7×C4⋊C4C2411yescharacteristic
599C7×C4⋊C4C2411yescharacteristic
600C7×C22⋊C4—21no—
601C7×C22⋊C4—21no—
602C7×C22⋊C4—21no—
603C7×C22⋊C4—21no—
604C7×C22⋊C4—21no—
605C7×C22⋊C4—21no—
606C7×C22⋊C4—21no—
607C7×C22⋊C4C2×D411yescharacteristic
608C7×C22⋊C4C2×D411yescharacteristic
609C42×C7—21no—
610C42×C7C2411yescharacteristic
611C22⋊Dic7—21no—
612C22⋊Dic7—21no—
613C22⋊Dic7—21no—
614C22⋊Dic7—21no—
615C22⋊Dic7—21no—
616C22⋊Dic7—21no—
617C22⋊Dic7—21no—
618C22⋊Dic7—21no—
619C22⋊Dic7—21no—
620C22⋊Dic7—21no—
621C22⋊Dic7—21no—
622C22⋊Dic7C2×D411yescharacteristic
623C22⋊Dic7C2×D411yescharacteristic
624C22⋊Dic7C2×D411yescharacteristic
625C22⋊Dic7C2×D411yescharacteristic
626#1144—22no—
627#1144—41no—
628#1143—22no—
629#1143—22no—
630#1143—22no—
631#1143#4114yescomplemented
632#1142—22no—
633#1142—22no—
634#1141—22no—
635#1141—41no—
636(C2×D7)⋊C4—21no—
637(C2×D7)⋊C4—21no—
638(C2×D7)⋊C4—21no—
639(C2×D7)⋊C4—21no—
640(C2×D7)⋊C4—21no—
641(C2×D7)⋊C4—21no—
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
652(C2×D7)⋊C4C2×D411yescharacteristic
653(C2×D7)⋊C4C2×D411yescharacteristic
654C4⋊Dic7—21no—
655C4⋊Dic7—21no—
656C4⋊Dic7—21no—
657C4⋊Dic7—21no—
658C4⋊Dic7—21no—
659C4⋊Dic7—21no—
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⋊Dic7C2×D411yescharacteristic
670C4⋊Dic7C2411yescharacteristic
671C4⋊Dic7C2411yescharacteristic
672C4⋊Dic7C2411yescharacteristic
673C4⋊Dic7C2411yescharacteristic
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
692Dic7⋊C4C2×D411yescharacteristic
693Dic7⋊C4C2×D411yescharacteristic
694C4×Dic7—21no—
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×Dic7—21no—
705C4×Dic7C2×D411yescharacteristic
706C4×Dic7C2×D411yescharacteristic
707C4×Dic7C2411yescharacteristic
708C4×Dic7C2411yescharacteristic
709C4×Dic7C2411yescharacteristic
710C2×C7⋊C8—22no—
711C2×C7⋊C8—22no—
712C2×C7⋊C8C2411yescharacteristic
713C2×C7⋊C8C2411yescharacteristic
714C2×C7⋊C8C2411yescharacteristic
715C2×C7⋊C8C2411yescharacteristic
716Dic28—41no—
717#1132—22no—
718#1132—41no—
719#1131—41no—
720C8×D7—22no—
721C2×#135—71no—
722C22×SD16—71no—
723C22×SD16—71no—
724#559—71no—
725#557—71no—
726#556—71no—
727#556—141no—
728#554—71no—
729#554—71no—
730#554—141no—
731#553—71no—
732#553—71no—
733#553—141no—
734#553—141no—
735#552—71no—
736#552—71no—
737#552—141no—
738#551—141no—
739#551—141no—
740D4×Q8—71no—
741#548—71no—
742#548C2×D711yescharacteristic, complemented
743#547C2×D711yescharacteristic
744#546—71no—
745#546—71no—
746#546—141no—
747D42—71no—
748#542—71no—
749#542—71no—
750#542—141no—
751#541—71no—
752#541—141no—
753#540—71no—
754#539—141no—
755#538—141no—
756#529—71no—
757#529—71no—
758#529—71no—
759#529—141no—
760#529—141no—
761#525—141no—
762C2×#123—141no—
763#520—71no—
764#520—71no—
765#519—71no—
766#518—71no—
767C2×C4×Q8—71no—
768C2×C4×D4—71no—
769#499—71no—
770#499—71no—
771#498—71no—
772#495—71no—
773#495—71no—
774#492—71no—
775#491—71no—
776#490—71no—
777#489—71no—
778#489C2×D711yescharacteristic, complemented
779#488—71no—
780#488—71no—
781#485—71no—
782#485—71no—
783#484—71no—
784#484C2×D711yescharacteristic, complemented
785#483—71no—
786#483—71no—
787#482—71no—
788#482—71no—
789#481—71no—
790#481—71no—
791#480—71no—
792#480C2×D711yescharacteristic, complemented
793#479—71no—
794#479—71no—
795#479—71no—
796#479—71no—
797#478—71no—
798#478—71no—
799#478—71no—
800#478—71no—
801#477C2×D711yescharacteristic, complemented
802#476—71no—
803#475—71no—
804#474—71no—
805#470—71no—
806#469—71no—
807#468—71no—
808#468C2×D711yescharacteristic, complemented
809#467—71no—
810#466C2×D711yescharacteristic
811#465—71no—
812#465—71no—
813#465—71no—
814#465—71no—
815#465—71no—
816#465—71no—
817#464—71no—
818#464—71no—
819#464—71no—
820#464—71no—
821#463—71no—
822#463—71no—
823#463—71no—
824#463C2×D711yescharacteristic, complemented
825#462—71no—
826#461—71no—
827#460—71no—
828#459—71no—
829#452—71no—
830#452—71no—
831#451—71no—
832#451—71no—
833#450—71no—
834#450—71no—
835#449—71no—
836#449C2×D711yescharacteristic, complemented
837#448—71no—
838#448C2×D711yescharacteristic
839#447—71no—
840#447—71no—
841#446—71no—
842C8×Q8—71no—
843#442—71no—
844#442—71no—
845#442—71no—
846#441—71no—
847#441—71no—
848#441—71no—
849#440—71no—
850#440—71no—
851#440—71no—
852#440—71no—
853#440—71no—
854#440C2×D711yescharacteristic, complemented
855C4×Q16—71no—
856C4×SD16—71no—
857C4×SD16—71no—
858C4×SD16—71no—
859C4×SD16—71no—
860C4×SD16—71no—
861C4×SD16—71no—
862C4×SD16—71no—
863C4×SD16—71no—
864C4×SD16—71no—
865C4×SD16—71no—
866C4×SD16—71no—
867C4×SD16—71no—
868C4×SD16—71no—
869C4×SD16—71no—
870C4×D8—71no—
871#436—71no—
872#435—71no—
873#435C2×D711yescharacteristic, complemented
874C8×D4—71no—
875C8×D4—71no—
876C8×D4—71no—
877#433—71no—
878#433—71no—
879#432—71no—
880#427—71no—
881C2×#106—71no—
882C2×#106—71no—
883#419—71no—
884#418—71no—
885#417—71no—
886#417C2×D711yescharacteristic, complemented
887C2×#103C2×D711yescharacteristic, complemented
888C2×#102—71no—
889#405—71no—
890#405—71no—
891C2×C4×C8—71no—
892C23×C7—21no—
893C23×C7—21no—
894C23×C7C22×D411yescharacteristic
895C23×C7C22×D411yescharacteristic
896C22×D7—21no—
897C22×D7—21no—
898C22×D7—42no—
899C22×D7—42no—
900C22×D7—42no—
901C22×D7—81no—
902C22×D7—81no—
903C22×D7—81no—
904C22×D7C22×D411yescharacteristic
905C7×Q8—21no—
906C7×Q8—21no—
907C7×Q8—21no—
908C7×Q8—42no—
909C7×Q8—81no—
910C7×Q8C2×#4112yes—
911C7×D4—22no—
912C7×D4—21no—
913C7×D4—21no—
914C7×D4—21no—
915C7×D4—21no—
916C7×D4—42no—
917C7×D4—42no—
918C7×D4—42no—
919C7×D4—81no—
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—21no—
930C2×C4×C7—42no—
931C2×C4×C7—42no—
932C2×C4×C7—42no—
933C2×C4×C7—81no—
934C2×C4×C7—81no—
935C2×C4×C7C22×D411yescharacteristic
936C2×C4×C7C22×D411yescharacteristic
937C2×C4×C7C22×D411yescharacteristic
938C2×C4×C7C22×D411yescharacteristic
939C2×C4×C7C2511yescharacteristic
940C22⋊D7—22no—
941C22⋊D7—41no—
942C22⋊D7—42no—
943C22⋊D7—42no—
944C22⋊D7—81no—
945C22⋊D7—81no—
946C22⋊D7—81no—
947C22⋊D7—81no—
948C2×Dic7—22no—
949C2×Dic7—21no—
950C2×Dic7—21no—
951C2×Dic7—21no—
952C2×Dic7—21no—
953C2×Dic7—21no—
954C2×Dic7—21no—
955C2×Dic7—41no—
956C2×Dic7—81no—
957C2×Dic7—81no—
958C2×Dic7—81no—
959C2×Dic7—81no—
960C2×Dic7—81no—
961C2×Dic7C22×D411yescharacteristic
962C2×Dic7C22×D411yescharacteristic
963C2×Dic7C22×D411yescharacteristic
964C2×Dic7C22×D411yescharacteristic
965C2×Dic7C22×D411yescharacteristic
966C2×Dic7C22×D411yescharacteristic
967C2×Dic7C22×D411yescharacteristic
968D28—21no—
969D28—21no—
970D28—21no—
971D28—42no—
972D28—81no—
973D28C2×#4112yes—
974C4×D7—21no—
975C4×D7—21no—
976C4×D7—42no—
977C4×D7—42no—
978C4×D7—81no—
979C4×D7—81no—
980C4×D7—81no—
981C4×D7—81no—
982C4×D7—81no—
983C4×D7—81no—
984Dic14—21no—
985Dic14—21no—
986Dic14—21no—
987Dic14—21no—
988Dic14—41no—
989Dic14—42no—
990Dic14—81no—
991C7×C8—21no—
992C7×C8—21no—
993C7×C8—21no—
994C7×C8—21no—
995C7⋊C8—21no—
996C7⋊C8—21no—
997C7⋊C8—21no—
998C7⋊C8C2×#4112yes—
999C2×#41—21no—
1000C2×#41—71no—
1001C2×#41C22×D711yescharacteristic
1002C22×Q8—71no—
1003C22×Q8C22×D711yescharacteristic
1004C22×D4—71no—
1005C22×D4—71no—
1006C22×D4—141no—
1007C23×C4—141no—
1008#135—144no—
1009C2×Q16—71no—
1010C2×Q16—71no—
1011C2×Q16—71no—
1012C2×SD16—71no—
1013C2×SD16—71no—
1014C2×SD16—71no—
1015C2×SD16—71no—
1016C2×SD16—71no—
1017C2×SD16—71no—
1018C2×SD16—71no—
1019C2×SD16—71no—
1020C2×SD16—144no—
1021C2×SD16—144no—
1022C2×SD16C22×D711yescharacteristic
1023C2×SD16C22×D711yescharacteristic
1024C2×D8—71no—
1025C2×D8—71no—
1026C2×D8C22×D711yescharacteristic
1027C2×M16—71no—
1028C2×M16C22×D711yescharacteristic
1029C22×C8—71no—
1030C22×C8—71no—
1031C22×C8—71no—
1032C22×C8C22×D711yescharacteristic
1033C4⋊Q8—71no—
1034C4⋊Q8—71no—
1035C4⋊Q8—141no—
1036C4⋊Q8—141no—
1037C4⋊Q8C22×D711yescharacteristic
1038#127—71no—
1039#126—71no—
1040#126—71no—
1041#126—141no—
1042#126—141no—
1043#126—141no—
1044#126—141no—
1045#126—141no—
1046#126—141no—
1047#126—141no—
1048#126—141no—
1049#126—141no—
1050#126—141no—
1051#126—141no—
1052#126—141no—
1053#125—71no—
1054#125—71no—
1055#125—71no—
1056#125—71no—
1057#125—71no—
1058#125—141no—
1059#125—141no—
1060#125—141no—
1061#125—141no—
1062#125—141no—
1063#125—141no—
1064#125—141no—
1065#124—21no—
1066#124—71no—
1067#124—71no—
1068#124—71no—
1069#124—71no—
1070#124—141no—
1071#124—141no—
1072#124—141no—
1073#124—141no—
1074#124C22×D711yescharacteristic
1075#123—21no—
1076#123—21no—
1077#123—71no—
1078#123—71no—
1079#123—141no—
1080#123—141no—
1081#123—141no—
1082#123—141no—
1083#123—141no—
1084#123—141no—
1085#123—141no—
1086#123—141no—
1087#123—141no—
1088#123—141no—
1089#123—141no—
1090#123—141no—
1091#123—141no—
1092#123—141no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—71no—
1096C22⋊Q8—71no—
1097C22⋊Q8—71no—
1098C22⋊Q8—71no—
1099C22⋊Q8—71no—
1100C22⋊Q8—71no—
1101C22⋊Q8—141no—
1102C22⋊Q8—141no—
1103C22⋊Q8—141no—
1104C22⋊Q8—141no—
1105C22⋊Q8—141no—
1106C22⋊Q8—141no—
1107C22⋊Q8—141no—
1108C22⋊Q8—141no—
1109C22⋊Q8—141no—
1110C22⋊Q8—141no—
1111C22⋊Q8—141no—
1112C22⋊Q8C22×D711yescharacteristic
1113#121—21no—
1114#121—71no—
1115#121—71no—
1116#121—71no—
1117#121—71no—
1118#121—141no—
1119#121—141no—
1120#121—141no—
1121#121—141no—
1122#121—141no—
1123#121—141no—
1124#121—141no—
1125#121—141no—
1126#121C22×D711yescharacteristic
1127#121C22×D711yescharacteristic
1128#121C22×D711yescharacteristic
1129#120—141no—
1130#120—141no—
1131#120—141no—
1132#120—141no—
1133C4×Q8—71no—
1134C4×Q8—71no—
1135C4×Q8—71no—
1136C4×Q8—71no—
1137C4×Q8—71no—
1138C4×Q8—71no—
1139C4×Q8—71no—
1140C4×Q8—71no—
1141C4×Q8—71no—
1142C4×Q8—71no—
1143C4×Q8—141no—
1144C4×Q8—141no—
1145C4×Q8—141no—
1146C4×Q8—141no—
1147C4×Q8—141no—
1148C4×Q8C22×D711yescharacteristic
1149C4×D4—21no—
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—141no—
1162C4×D4—141no—
1163C4×D4—141no—
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×D4—141no—
1174C4×D4—141no—
1175C4×D4—141no—
1176C4×D4—141no—
1177C4×D4C22×D711yescharacteristic
1178C4×D4C22×D711yescharacteristic
1179#117—71no—
1180#117—71no—
1181#117—71no—
1182#117—71no—
1183#117—141no—
1184#117—141no—
1185#117—141no—
1186#117—141no—
1187#117—141no—
1188#117—141no—
1189#117—141no—
1190#117—141no—
1191#117—141no—
1192C2×C4⋊C4—71no—
1193C2×C4⋊C4—71no—
1194C2×C4⋊C4—141no—
1195C2×C4⋊C4—141no—
1196C2×C4⋊C4—141no—
1197C2×C4⋊C4—141no—
1198C2×C4⋊C4C22×D711yescharacteristic
1199C2×C4⋊C4C22×D711yescharacteristic
1200C2×C22⋊C4—141no—
1201C2×C22⋊C4—141no—
1202C2×C22⋊C4—141no—
1203C2×C22⋊C4—141no—
1204C2×C22⋊C4—141no—
1205C2×C42—71no—
1206C2×C42—141no—
1207#107—71no—
1208#107—71no—
1209#107—71no—
1210#107C22×D711yescharacteristic
1211#107C22×D711yescharacteristic
1212#107C22×D711yescharacteristic
1213#106—71no—
1214#106—71no—
1215#106—71no—
1216#106—71no—
1217#106—71no—
1218#106—71no—
1219#106—71no—
1220#106—71no—
1221#106—71no—
1222#106—71no—
1223C4⋊C8—71no—
1224C4⋊C8—71no—
1225C4⋊C8—71no—
1226C4⋊C8—71no—
1227C4⋊C8—71no—
1228C4⋊C8C22×D711yescharacteristic
1229#103—71no—
1230#103—71no—
1231#103—71no—
1232#103—71no—
1233#103—71no—
1234#103—71no—
1235#103—71no—
1236#103—71no—
1237#103—71no—
1238#103—71no—
1239#103C22×D711yescharacteristic
1240#103C22×D711yescharacteristic
1241#103C22×D711yescharacteristic
1242#103C22×D711yescharacteristic
1243#103C22×D711yescharacteristic
1244#103C22×D711yescharacteristic
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#102C22×D711yescharacteristic
1258#102C22×D711yescharacteristic
1259#102C22×D711yescharacteristic
1260#102C22×D711yescharacteristic
1261C22⋊C8—71no—
1262C22⋊C8—71no—
1263C22⋊C8—71no—
1264C22⋊C8—71no—
1265C22⋊C8C22×D711yescharacteristic
1266C22⋊C8C22×D711yescharacteristic
1267#97—71no—
1268#97—71no—
1269#97—71no—
1270#97C22×D711yescharacteristic
1271C4×C8—71no—
1272C4×C8—71no—
1273C4×C8—71no—
1274C4×C8—71no—
1275C4×C8—71no—
1276C4×C8—71no—
1277C22×C7—21no—
1278C22×C7—21no—
1279C22×C7—21no—
1280C22×C7—21no—
1281C22×C7—21no—
1282C22×C7—41no—
1283C22×C7—41no—
1284C22×C7—41no—
1285C22×C7—41no—
1286C22×C7—41no—
1287C22×C7—41no—
1288C22×C7#57712yes—
1289C22×C7C23×D411yescharacteristic
1290C2×D7—21no—
1291C2×D7—21no—
1292C2×D7—22no—
1293C2×D7—21no—
1294C2×D7—41no—
1295C2×D7—41no—
1296C2×D7—41no—
1297C2×D7—41no—
1298C2×D7—41no—
1299C2×D7—84no—
1300C2×D7—162no—
1301C4×C7—21no—
1302C4×C7—22no—
1303C4×C7—21no—
1304C4×C7—21no—
1305C4×C7—21no—
1306C4×C7—41no—
1307C4×C7—41no—
1308C4×C7—41no—
1309C4×C7—41no—
1310C4×C7—41no—
1311C4×C7C22×#4111yescharacteristic
1312C4×C7#58511yescharacteristic
1313Dic7—21no—
1314Dic7—21no—
1315Dic7—21no—
1316Dic7—21no—
1317Dic7—21no—
1318Dic7—21no—
1319Dic7—21no—
1320Dic7—41no—
1321Dic7—41no—
1322Dic7—41no—
1323Dic7—41no—
1324Dic7—41no—
1325Dic7—41no—
1326C24—141no—
1327C24—141no—
1328#41—22no—
1329#41—41no—
1330#41—82no—
1331#41—142no—
1332#41—281no—
1333C2×Q8—21no—
1334C2×Q8—21no—
1335C2×Q8—22no—
1336C2×Q8—41no—
1337C2×Q8—71no—
1338C2×Q8—71no—
1339C2×Q8—71no—
1340C2×Q8—141no—
1341C2×Q8—141no—
1342C2×Q8—142no—
1343C2×Q8—281no—
1344C2×Q8C23×D711yescharacteristic
1345C2×Q8C23×D711yescharacteristic
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—71no—
1351C2×D4—71no—
1352C2×D4—71no—
1353C2×D4—71no—
1354C2×D4—142no—
1355C2×D4—141no—
1356C2×D4—141no—
1357C2×D4—141no—
1358C2×D4—141no—
1359C2×D4—142no—
1360C2×D4—141no—
1361C2×D4—141no—
1362C2×D4—141no—
1363C2×D4—141no—
1364C2×D4—281no—
1365C2×D4—281no—
1366C2×D4—562no—
1367C2×D4D4×D711yescharacteristic
1368C2×D4C23×D711yescharacteristic
1369C2×D4C23×D711yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—71no—
1376C22×C4—71no—
1377C22×C4—71no—
1378C22×C4—141no—
1379C22×C4—141no—
1380C22×C4—141no—
1381C22×C4—141no—
1382C22×C4—141no—
1383C22×C4—141no—
1384C22×C4—141no—
1385C22×C4—141no—
1386C22×C4—141no—
1387C22×C4—141no—
1388C22×C4—141no—
1389C22×C4—141no—
1390C22×C4—141no—
1391C22×C4—562no—
1392C22×C4C23×D711yescharacteristic
1393C22×C4C23×D711yescharacteristic
1394Q16—142no—
1395Q16—281no—
1396Q16—281no—
1397SD16—22no—
1398SD16—41no—
1399SD16—74no—
1400SD16—142no—
1401SD16—142no—
1402SD16—142no—
1403SD16—142no—
1404SD16—142no—
1405SD16—142no—
1406SD16—281no—
1407D8—41no—
1408D8—142no—
1409D8—281no—
1410M16—41no—
1411M16—281no—
1412C2×C8—41no—
1413C2×C8—71no—
1414C2×C8—71no—
1415C2×C8—71no—
1416C2×C8—71no—
1417C2×C8—142no—
1418C2×C8—142no—
1419C2×C8—142no—
1420C2×C8C23×D711yescharacteristic
1421C2×C8C23×D711yescharacteristic
1422C2×C8C23×D711yescharacteristic
1423C2×C8C23×D711yescharacteristic
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—71no—
1430C4⋊C4—71no—
1431C4⋊C4—71no—
1432C4⋊C4—71no—
1433C4⋊C4—71no—
1434C4⋊C4—71no—
1435C4⋊C4—71no—
1436C4⋊C4—71no—
1437C4⋊C4—71no—
1438C4⋊C4—71no—
1439C4⋊C4—71no—
1440C4⋊C4—71no—
1441C4⋊C4—71no—
1442C4⋊C4—141no—
1443C4⋊C4—141no—
1444C4⋊C4—141no—
1445C4⋊C4—141no—
1446C4⋊C4—141no—
1447C4⋊C4—141no—
1448C4⋊C4—141no—
1449C4⋊C4—141no—
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⋊C4D4×D711yescharacteristic
1470C4⋊C4C23×D711yescharacteristic
1471C4⋊C4C23×D711yescharacteristic
1472C4⋊C4C23×D711yescharacteristic
1473C4⋊C4C23×D711yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—71no—
1482C22⋊C4—71no—
1483C22⋊C4—71no—
1484C22⋊C4—71no—
1485C22⋊C4—71no—
1486C22⋊C4—71no—
1487C22⋊C4—71no—
1488C22⋊C4—71no—
1489C22⋊C4—141no—
1490C22⋊C4—141no—
1491C22⋊C4—141no—
1492C22⋊C4—141no—
1493C22⋊C4—141no—
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—71no—
1518C42—71no—
1519C42—71no—
1520C42—71no—
1521C42—71no—
1522C42—141no—
1523C42—141no—
1524C42—141no—
1525C42—141no—
1526C42—141no—
1527C42—141no—
1528C42—141no—
1529C42—141no—
1530C42—141no—
1531C42—141no—
1532C42—141no—
1533C42C23×D711yescharacteristic
1534C2×C7—22no—
1535C2×C7—41no—
1536C2×C7—81no—
1537C2×C7—81no—
1538C2×C7D4×#4111yescharacteristic
1539C2×C7C2×#57711yescharacteristic
1540C2×C7#358411yescharacteristic
1541D7—41no—
1542D7—42no—
1543D7—81no—
1544C23—21no—
1545C23—21no—
1546C23—71no—
1547C23—141no—
1548C23—141no—
1549C23—282no—
1550C23—282no—
1551C23—282no—
1552C23—561no—
1553C23—561no—
1554C23—561no—
1555C23C2×D4×D711yescharacteristic
1556C23C2×D4×D711yescharacteristic
1557Q8—21no—
1558Q8—21no—
1559Q8—21no—
1560Q8—42no—
1561Q8—81no—
1562Q8—141no—
1563Q8—141no—
1564Q8—141no—
1565Q8—141no—
1566Q8—281no—
1567Q8—282no—
1568Q8—561no—
1569Q8D7×#4112yes—
1570D4—22no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—42no—
1576D4—42no—
1577D4—42no—
1578D4—72no—
1579D4—81no—
1580D4—142no—
1581D4—141no—
1582D4—141no—
1583D4—141no—
1584D4—282no—
1585D4—281no—
1586D4—282no—
1587D4—282no—
1588D4—561no—
1589D4—561no—
1590D4—561no—
1591D4—561no—
1592D4—561no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—42no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—71no—
1607C2×C4—71no—
1608C2×C4—71no—
1609C2×C4—71no—
1610C2×C4—71no—
1611C2×C4—71no—
1612C2×C4—71no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—142no—
1616C2×C4—141no—
1617C2×C4—141no—
1618C2×C4—141no—
1619C2×C4—141no—
1620C2×C4—141no—
1621C2×C4—141no—
1622C2×C4—141no—
1623C2×C4—141no—
1624C2×C4—282no—
1625C2×C4—282no—
1626C2×C4—281no—
1627C2×C4—561no—
1628C2×C4—561no—
1629C2×C4—561no—
1630C2×C4—561no—
1631C2×C4—561no—
1632C2×C4—561no—
1633C2×C4—561no—
1634C2×C4—561no—
1635C2×C4—561no—
1636C2×C4—561no—
1637C2×C4—561no—
1638C2×C4C2×D4×D711yescharacteristic
1639C2×C4C2×D4×D711yescharacteristic
1640C2×C4C2×D4×D711yescharacteristic
1641C2×C4C2×D4×D711yescharacteristic
1642C2×C4C24×D711yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—72no—
1648C8—141no—
1649C8—141no—
1650C8—141no—
1651C7#6147211yescharacteristic, complemented, Sylow
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—141no—
1664C22—141no—
1665C22—141no—
1666C22—142no—
1667C22—281no—
1668C22—281no—
1669C22—281no—
1670C22—281no—
1671C22—281no—
1672C22—564no—
1673C22—1122no—
1674C22#9046612yes—
1675C22C22×D4×D711yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—22no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—141no—
1687C4—141no—
1688C4—141no—
1689C4—141no—
1690C4—141no—
1691C4—141no—
1692C4—141no—
1693C4—281no—
1694C4—281no—
1695C4—281no—
1696C4—281no—
1697C4—281no—
1698C4—281no—
1699C4C2×D7×#4111yescharacteristic
1700C4#9061811yescharacteristic
1701C2—22no—
1702C2—41no—
1703C2—81no—
1704C2—81no—
1705C2—281no—
1706C2—282no—
1707C2—561no—
1708C2#1174369411yescharacteristic
1709C2C2×#9046611yescharacteristic
1710C2#1174427811yescharacteristic
subgroupG/H
centerC22C22×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC7×#3308C2
socleC22×C7C23×D4
hypercenter#3308D7
hypocenterC7#61472
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #11743786C2semidirect
2. #11743749C2semidirect
3. C7×#3308C2semidirect
4. #11740990C2semidirect
5. #11740962C2semidirect
6. #11739121C2semidirect
7. #11739111C2semidirect
8. #11738909C2semidirect
9. #11738901C2semidirect
10. #11738737C2semidirect
11. #11738716C2semidirect
12. #11738581C2semidirect
13. #11738541C2semidirect
14. #11738272C2semidirect
15. #11738231C2semidirect
16. #11738177C2semidirect
17. #11738141C2semidirect
18. #11737969C2semidirect
19. #11737953C2semidirect
20. #11737571C2semidirect
21. #11737517C2semidirect
22. #11737508C2semidirect
23. #11737476C2semidirect
24. #11737222C2semidirect
25. #11737199C2semidirect
26. #11736948C2semidirect
27. #11736899C2semidirect
28. #11736349C2semidirect
29. #11736314C2semidirect
30. #11736255C2semidirect
31. C2×#89560C2semidirect
32. C7×#548C22semidirect
34. #90522C22semidirect
37. #90518C22semidirect
40. C2×Q8×Dic7C22semidirect
46. #90373C22semidirect
48. #90362C22semidirect
54. #90333C22semidirect
58. #90316C22semidirect
66. #90291C22semidirect
67. #90263C22semidirect
68. #90261C22semidirect
73. #90234C22semidirect
80. C7×#489C22semidirect
81. C7×#484C22semidirect
82. C7×#480C22semidirect
83. C7×#477C22semidirect
84. C7×#468C22semidirect
86. C7×#463C22semidirect
87. C7×#449C22semidirect
89. C7×#440C22semidirect
90. C7×#435C22semidirect
91. C7×#417C22semidirect
92. C2×C7×#103C22semidirect
93. #90010C22semidirect
94. #90000C22semidirect
97. #89938C22semidirect
98. #89938C22semidirect
99. #89936C22semidirect
100. #89936C22semidirect
103. #89927C22semidirect
105. D8×Dic7C22semidirect
106. #89906C22semidirect
108. #89900C22semidirect
109. #89894C22semidirect
110. #89888C22semidirect
113. C2×C8×Dic7C22semidirect
114. #89866C22semidirect
115. #89851C22semidirect
116. #89831C22semidirect
118. #89820C22semidirect
121. #89813C22semidirect
122. #89813C22semidirect
125. #89806C22semidirect
126. #89800C22semidirect
128. C4×#1142C22semidirect
129. D4×C7⋊C8C22semidirect
130. #89780C22semidirect
131. #89743C22semidirect
132. #89743C22semidirect
133. C2×#6382C22semidirect
134. C2×#6382C22semidirect
137. #89663C22semidirect
139. #89661C22semidirect
140. #89660C22semidirect
142. #89652C22semidirect
143. #89650C22semidirect
144. #89650C22semidirect
145. #89649C22semidirect
146. #89645C22semidirect
148. #89617C22semidirect
149. #89612C22semidirect
150. #89602C22semidirect
152. #89588C22semidirect
153. #89586C22semidirect
154. #89580C22semidirect
157. #89574C22semidirect
158. #89569C22semidirect
159. #89568C22semidirect
160. #89568C22semidirect
161. #89568C22semidirect
162. #89565C22semidirect
163. #89561C22semidirect
164. #89561C22semidirect
165. #89561C22semidirect
171. #89560C22semidirect
172. #89560C22semidirect
173. #89560C22semidirect
174. #89560C22semidirect
176. #89559C22semidirect
179. #89557C22semidirect
180. #89556C22semidirect
182. #89550C22semidirect
184. #89540C22semidirect
185. #89540C22semidirect
186. #89538C22semidirect
188. #89530C22semidirect
189. #89530C22semidirect
190. #89530C22semidirect
191. #89508C22semidirect
195. (C22⋊D7)⋊C8C22semidirect
196. #89494C22semidirect
197. #89492C22semidirect
198. #89491C22semidirect
199. #89486C22semidirect
201. #89480C22semidirect
202. #89473C22semidirect
496. #3308D7semidirect
631. #1143#41semidirect
742. #548C2×D7semidirect
778. #489C2×D7semidirect
784. #484C2×D7semidirect
792. #480C2×D7semidirect
801. #477C2×D7semidirect
808. #468C2×D7semidirect
824. #463C2×D7semidirect
836. #449C2×D7semidirect
854. #440C2×D7semidirect
873. #435C2×D7semidirect
886. #417C2×D7semidirect
887. C2×#103C2×D7semidirect
1651. C7#61472semidirect

Maximal subgroups

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

subgroupindex
#117437862
#117437492
C7×#33082
#117409902
#117409622
#117391212
#117391112
#117389092
#117389012
#117387372
#117387162
#117385812
#117385412
#117382722
#117382312
#117381772
#117381412
#117379692
#117379532
#117375712
#117375172
#117375082
#117374762
#117372222
#117371992
#117369482
#117368992
#117363492
#117363142
#117362552
C2×#895602
#614727