Finite Group Databasebeta

← #16745325

Subgroups — #16745325

Order 3328.

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#13128825C211yesmaximal, characteristic, complemented
2#13127828C211yesmaximal, characteristic, complemented
3#13127711C211yesmaximal, characteristic, complemented
4#13127663C211yesmaximal, characteristic, complemented
5#13127598C211yesmaximal, characteristic, complemented
6#13127215C211yesmaximal, characteristic, complemented
7#13127209C211yesmaximal, characteristic, complemented
8#13127193C211yesmaximal, characteristic, complemented
9#13127083C211yesmaximal, characteristic, complemented
10#13127052C211yesmaximal, characteristic, complemented
11#13126977C211yesmaximal, characteristic, complemented
12#13126917C211yesmaximal, characteristic, complemented
13#13126881C211yesmaximal, characteristic, complemented
14#13126821C211yesmaximal, characteristic, complemented
15#13126539C211yesmaximal, characteristic, complemented
16#13126539C211yesmaximal, characteristic, complemented
17D4×#6105C211yesmaximal, characteristic, complemented
18#13125458C211yesmaximal, characteristic, complemented
19#13125447C211yesmaximal, characteristic, complemented
20#13125400C211yesmaximal, characteristic, complemented
21#13125059C211yesmaximal, characteristic, complemented
22#13125050C211yesmaximal, characteristic, complemented
23#13125029C211yesmaximal, characteristic, complemented
24#13125020C211yesmaximal, characteristic, complemented
25#13125003C211yesmaximal, characteristic, complemented
26#13124974C211yesmaximal, characteristic, complemented
27#13123812C211yesmaximal, characteristic, complemented
28#13123717C211yesmaximal, characteristic, complemented
29#13123693C211yesmaximal, characteristic, complemented
30C2×C4×#6105C211yesmaximal, characteristic, complemented
31C13×#3513C211yesmaximal, characteristic, complemented
32C13×#559C2211yescharacteristic
33C13×#554C2211yescharacteristic
34C13×#553—21no—
35C13×#553C2211yescharacteristic
36C13×#552C2211yescharacteristic
37C13×#551—21no—
38C13×#551—21no—
39C13×#547C2211yescharacteristic
40C13×#546—21no—
41C13×#546C2211yescharacteristic
42C13×#546C2211yescharacteristic
43D42×C13C2211yescharacteristic
44C13×#542C2211yescharacteristic
45C13×#540C2211yescharacteristic
46C13×#539—21no—
47C13×#538—21no—
48C13×#529C2211yescharacteristic
49C13×#529C2211yescharacteristic
50C13×#525—21no—
51C2×C13×#123—21no—
52C13×#520C2211yescharacteristic
53C13×#518C2211yescharacteristic
54C2×C4×D4×C13C2211yescharacteristic
55C2×#88204C2211yescharacteristic
56C22×#6105C2211yescharacteristic
57C22×#6105C2211yescharacteristic
58#11719413—21no—
59#11719407—21no—
60#11719401—21no—
61#11719374—21no—
62#11719354—21no—
63#11719354—21no—
64#11719341—21no—
65#11719306—21no—
66#11719289C2211yescharacteristic, complemented
67#11719272C2211yescharacteristic, complemented
68#11719270C2211yescharacteristic
69#11719257C2211yescharacteristic, complemented
70#11719257C2211yescharacteristic, complemented
71#11719248C2211yescharacteristic, complemented
72#11719246C2211yescharacteristic, complemented
73D4×Dic26C2211yescharacteristic
74#11719239C2211yescharacteristic, complemented
75#11719228C2211yescharacteristic, complemented
76#11719223C2211yescharacteristic, complemented
77#11719221C2211yescharacteristic, complemented
78#11719184C2211yescharacteristic, complemented
79C2×C4×Dic26C2211yescharacteristic, complemented
80#11718900C2211yescharacteristic
81#11718900C2211yescharacteristic
82#11718893C2211yescharacteristic
83#11718879C2211yescharacteristic
84#11718879C2211yescharacteristic
85#11718878C2211yescharacteristic
86#11718878C2211yescharacteristic
87#11718876C2211yescharacteristic
88C2×#88072C2211yescharacteristic
89#11718755C2211yescharacteristic, complemented
90#11718752C2211yescharacteristic, complemented
91#11718750C2211yescharacteristic, complemented
92#11718740C2211yescharacteristic, complemented
93#11718737C2211yescharacteristic
94#11718736C2211yescharacteristic
95#11718733C2211yescharacteristic
96#11718732C2211yescharacteristic
97#11718730C2211yescharacteristic, complemented
98#11718729C2211yescharacteristic, complemented
99#11718727C2211yescharacteristic, complemented
100#11718725C2211yescharacteristic, complemented
101#11718725C2211yescharacteristic, complemented
102#11718724C2211yescharacteristic, complemented
103#11718724C2211yescharacteristic, complemented
104#11718724C2211yescharacteristic, complemented
105#11718720C2211yescharacteristic, complemented
106#11718720C2211yescharacteristic, complemented
107#11718717C2211yescharacteristic, complemented
108#11718716C2211yescharacteristic, complemented
109#11718715C2211yescharacteristic, complemented
110#11718715C2211yescharacteristic, complemented
111#11718715C2211yescharacteristic, complemented
112#11718715C2211yescharacteristic, complemented
113#11718713C2211yescharacteristic, complemented
114#11718712C2211yescharacteristic, complemented
115#11718711C2211yescharacteristic, complemented
116#11718711C2211yescharacteristic, complemented
117#11718709C2211yescharacteristic, complemented
118#11718709C2211yescharacteristic, complemented
119#11718706C2211yescharacteristic, complemented
120#11718705C2211yescharacteristic, complemented
121#11718703C2211yescharacteristic, complemented
122#11718703C2211yescharacteristic, complemented
123#11718702C2211yescharacteristic
124#11718702C2211yescharacteristic
125#11718702C2211yescharacteristic, complemented
126#11718702C2211yescharacteristic, complemented
127#11718701C2211yescharacteristic
128#11718701C2211yescharacteristic
129#11718700C2211yescharacteristic
130#11718699C2211yescharacteristic
131#11718698C2211yescharacteristic, complemented
132#11718698C2211yescharacteristic, complemented
133#11718696C2211yescharacteristic
134#11718695C2211yescharacteristic
135#11718695C2211yescharacteristic, complemented
136#11718694C2211yescharacteristic, complemented
137#11718692C2211yescharacteristic, complemented
138#11718691C2211yescharacteristic, complemented
139#11718691C2211yescharacteristic, complemented
140#11718691C2211yescharacteristic, complemented
141C4×#6107C2211yescharacteristic, complemented
142C4×#6106C2211yescharacteristic, complemented
143C4×#6106C2211yescharacteristic, complemented
144#11718685C2211yescharacteristic, complemented
145Q8×#1055C2211yescharacteristic, complemented
146#11718683C2211yescharacteristic, complemented
147#11718680C2211yescharacteristic
148#11718679C2211yescharacteristic
149#11718679C2211yescharacteristic
150#11718679C2211yescharacteristic, complemented
151#11718679C2211yescharacteristic, complemented
152#11718679C2211yescharacteristic, complemented
153#11718679C2211yescharacteristic, complemented
154C4×#6105C2211yescharacteristic
155C4×#6105C2211yescharacteristic
156C4×#6105C2211yescharacteristic
157C4×#6105C2211yescharacteristic
158C4×#6105C2211yescharacteristic
159C4×#6105C2211yescharacteristic
160C4×#6105C2211yescharacteristic, complemented
161C4×#6105C2211yescharacteristic, complemented
162C4×#6105C2211yescharacteristic, complemented
163C4×#6105C2211yescharacteristic, complemented
164C4×#6105C2211yescharacteristic, complemented
165C4×#6105C2211yescharacteristic, complemented
166#11718677C2211yescharacteristic
167#11718677C2211yescharacteristic
168#11718677C2211yescharacteristic, complemented
169#11718677C2211yescharacteristic, complemented
170#11718675C2211yescharacteristic
171#11718675C2211yescharacteristic
172#11718675C2211yescharacteristic, complemented
173C4×#6104C2211yescharacteristic, complemented
174#11718673C2211yescharacteristic, complemented
175#11718672C2211yescharacteristic
176#11718672C2211yescharacteristic, complemented
177D4×#1055C2211yescharacteristic
178D4×#1055C2211yescharacteristic, complemented
179D4×#1055C2211yescharacteristic, complemented
180#11718670C2211yescharacteristic
181#11718670C2211yescharacteristic
182#11718670C2211yescharacteristic, complemented
183#11718669C2211yescharacteristic, complemented
184#11718668C2211yescharacteristic
185#11718665C2211yescharacteristic, complemented
186#11718664C2211yescharacteristic, complemented
187#11718661C2211yescharacteristic, complemented
188#11718661C2211yescharacteristic, complemented
189#11718659C2211yescharacteristic, complemented
190#11718658C2211yescharacteristic, complemented
191#11718658C2211yescharacteristic, complemented
192#11718657C2211yescharacteristic, complemented
193#11718632C2211yescharacteristic, complemented
194#11718632C2211yescharacteristic, complemented
195#11718631C2211yescharacteristic, complemented
196C2×#88050C2211yescharacteristic, complemented
197#11718628C2211yescharacteristic, complemented
198#11718627C2211yescharacteristic, complemented
199C2×#88048C2211yescharacteristic, complemented
200C2×#88048C2211yescharacteristic, complemented
201#11718587C2211yescharacteristic, complemented
202C2×C4×#1055C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204C2×C13×#41C2311yescharacteristic
205C22×D4×C13—21no—
206C22×D4×C13C2311yescharacteristic
207C22×D4×C13C2311yescharacteristic
208C23×C4×C13—21no—
209C2×#6127C2311yescharacteristic
210C22×Dic26C2311yescharacteristic
211C22×Dic26C2311yescharacteristic
212C13×C4⋊Q8C2311yescharacteristic
213C13×#127C2311yescharacteristic
214C13×#126—21no—
215C13×#126—21no—
216C13×#126—21no—
217C13×#126—21no—
218C13×#126D411yescharacteristic
219C13×#126D411yescharacteristic
220C13×#125—21no—
221C13×#125D411yescharacteristic
222C13×#125C2311yescharacteristic
223C13×#125C2311yescharacteristic
224C13×#124—21no—
225C13×#124—21no—
226C13×#124D411yescharacteristic
227C13×#124C2311yescharacteristic
228C13×#124C2311yescharacteristic
229C13×#123—21no—
230C13×#123—21no—
231C13×#123—21no—
232C13×#123—21no—
233C13×#123—21no—
234C13×#123—21no—
235C13×#123—21no—
236C13×#123—21no—
237C13×#123—21no—
238C13×#123—21no—
239C13×#123—21no—
240C13×#123—21no—
241C13×#123D411yescharacteristic
242C13×#123D411yescharacteristic
243C13×C22⋊Q8—21no—
244C13×C22⋊Q8—21no—
245C13×C22⋊Q8—21no—
246C13×C22⋊Q8—21no—
247C13×C22⋊Q8—21no—
248C13×C22⋊Q8D411yescharacteristic
249C13×C22⋊Q8C2311yescharacteristic
250C13×C22⋊Q8C2311yescharacteristic
251C13×#121—21no—
252C13×#121—21no—
253C13×#121—21no—
254C13×#121—21no—
255C13×#121—21no—
256C13×#121—21no—
257C13×#121D411yescharacteristic
258C13×#121C2311yescharacteristic
259C13×#121C2311yescharacteristic
260C13×#121C2311yescharacteristic
261C13×#121C2311yescharacteristic
262C13×#120—21no—
263C13×#120—21no—
264C13×#120—21no—
265C13×#120—21no—
266C4×Q8×C13C2311yescharacteristic
267C4×Q8×C13C2311yescharacteristic
268C4×Q8×C13C2311yescharacteristic
269C4×D4×C13—21no—
270C4×D4×C13—21no—
271C4×D4×C13—21no—
272C4×D4×C13—21no—
273C4×D4×C13—21no—
274C4×D4×C13—21no—
275C4×D4×C13—21no—
276C4×D4×C13—21no—
277C4×D4×C13—21no—
278C4×D4×C13C2311yescharacteristic
279C4×D4×C13C2311yescharacteristic
280C4×D4×C13C2311yescharacteristic
281C4×D4×C13C2311yescharacteristic
282C4×D4×C13C2311yescharacteristic
283C4×D4×C13C2311yescharacteristic
284C4×D4×C13C2311yescharacteristic
285C4×D4×C13C2311yescharacteristic
286C4×D4×C13C2311yescharacteristic
287C4×D4×C13C2311yescharacteristic
288C4×D4×C13C2311yescharacteristic
289C13×#117—21no—
290C13×#117—21no—
291C13×#117—21no—
292C13×#117C2311yescharacteristic
293C13×#117C2311yescharacteristic
294C13×#117C2311yescharacteristic
295C2×C13×C4⋊C4—21no—
296C2×C13×C4⋊C4—21no—
297C2×C13×C4⋊C4C2311yescharacteristic
298C2×C13×C4⋊C4C2311yescharacteristic
299C2×C13×C22⋊C4—21no—
300C2×C13×C22⋊C4—21no—
301C2×C13×C22⋊C4—21no—
302C2×C13×C22⋊C4—21no—
303C2×C13×C22⋊C4—21no—
304C2×C42×C13C2311yescharacteristic
305#88204—24no—
306#88200—21no—
307#88198—21no—
308C2×#6107C2311yescharacteristic
309C2×#6107C2311yescharacteristic
310C2×#6107C2311yescharacteristic
311C2×#6106C2311yescharacteristic
312#88193—21no—
313#88193—21no—
314#88193—21no—
315#88189—21no—
316D4×Dic13—21no—
317D4×Dic13—21no—
318C2×#6105—24no—
319C2×#6105—24no—
320C2×#6105C2311yescharacteristic
321C2×#6105C2311yescharacteristic
322C2×#6105C2311yescharacteristic
323C2×#6105C2311yescharacteristic
324C2×#6105C2311yescharacteristic
325C2×#6105C2311yescharacteristic
326C2×#6105C2311yescharacteristic
327C2×#6105C2311yescharacteristic
328C2×#6105C2311yescharacteristic
329C2×#6104C2311yescharacteristic
330C2×#6104C2311yescharacteristic
331C2×#6104C2311yescharacteristic
332#88184C2311yescharacteristic
333#88184C2311yescharacteristic
334#88183—21no—
335C4×C22⋊D13—21no—
336#88180C2311yescharacteristic
337C2×C4⋊Dic13C2311yescharacteristic
338C2×C4⋊Dic13C2311yescharacteristic
339#88178C2311yescharacteristic
340#88178C2311yescharacteristic
341#88178C2311yescharacteristic
342#88178C2311yescharacteristic
343C2×#6101—21no—
344C2×C4×Dic13—21no—
345C2×#6099C2311yescharacteristic
346C2×#6099C2311yescharacteristic
347C22×#1055C2311yescharacteristic
348C22×#1055C2311yescharacteristic
349C22×#1055C2311yescharacteristic
350C22×#1055C2311yescharacteristic
351#88152—21no—
352#88152—21no—
353#88152—21no—
354#88152—21no—
355#88150—21no—
356#88150—21no—
357#88150—21no—
358#88146—21no—
359#88146—21no—
360C4⋊C4×D13—21no—
361#88144—21no—
362#88143—21no—
363#88143—21no—
364#88143—21no—
365#88143—21no—
366#88143—21no—
367#88142—21no—
368#88141—21no—
369#88141—21no—
370#88141—21no—
371#88139—21no—
372#88139—21no—
373#88139—21no—
374#88137—21no—
375#88137—21no—
376#88135—21no—
377#88135—21no—
378#88135—21no—
379#88135—21no—
380#88135—21no—
381#88133—21no—
382#88133—21no—
383#88133—21no—
384#88132—21no—
385#88132—21no—
386#88132—21no—
387#88132—21no—
388#88131—21no—
389#88131—21no—
390#88131—21no—
391#88130—21no—
392#88129C2311yescharacteristic
393#88129C2311yescharacteristic
394C4×D52C2311yescharacteristic
395C4×D52C2311yescharacteristic
396#88126—21no—
397#88124C2311yescharacteristic
398#88124C2311yescharacteristic
399#88123C2311yescharacteristic
400#88123C2311yescharacteristic
401C4×Dic26—21no—
402C4×Dic26—21no—
403C4×Dic26C2311yescharacteristic
404C4×Dic26C2311yescharacteristic
405C4×Dic26C2311yescharacteristic
406C4×Dic26C2311yescharacteristic
407C4×Dic26C2311yescharacteristic
408C4×Dic26C2311yescharacteristic
409C4×Dic26C2311yescharacteristic
410C4×Dic26C2311yescharacteristic
411#88075C2311yescharacteristic
412#88075C2311yescharacteristic
413#88075C2311yescharacteristic
414#88075C2311yescharacteristic
415#88072C2311yescharacteristic
416#88072C2311yescharacteristic
417#88072C2311yescharacteristic
418#88072C2311yescharacteristic
419#88072C2311yescharacteristic
420#88072C2311yescharacteristic
421#88072C2311yescharacteristic
422#88072C2311yescharacteristic
423#88072C2311yescharacteristic
424#88072C2311yescharacteristic
425#88072C2311yescharacteristic
426#88072C2311yescharacteristic
427C22⋊#1055C2311yescharacteristic
428C22⋊#1055C2311yescharacteristic
429C22⋊#1055C2311yescharacteristic
430C22⋊#1055C2311yescharacteristic
431C22⋊#1055C2311yescharacteristic
432C22⋊#1055C2311yescharacteristic
433#88050C2311yescharacteristic
434#88050C2311yescharacteristic
435#88050C2311yescharacteristic
436#88050C2311yescharacteristic
437#88050C2311yescharacteristic
438#88050C2311yescharacteristic
439#88050C2311yescharacteristic
440#88050C2311yescharacteristic
441#88050C2311yescharacteristic
442#88050C2311yescharacteristic
443#88050C2311yescharacteristic
444#88050C2311yescharacteristic
445#88049C2311yescharacteristic
446#88049C2311yescharacteristic
447#88049C2311yescharacteristic
448#88049C2311yescharacteristic
449#88048C2311yescharacteristic
450#88048C2311yescharacteristic
451#88048C2311yescharacteristic
452#88048C2311yescharacteristic
453#88048C2311yescharacteristic
454#88048C2311yescharacteristic
455#88048C2311yescharacteristic
456#88048C2311yescharacteristic
457#88048C2311yescharacteristic
458#88048C2311yescharacteristic
459#88047C2311yescharacteristic
460#88047C2311yescharacteristic
461#88047C2311yescharacteristic
462#88047C2311yescharacteristic
463#88047C2311yescharacteristic
464#88047C2311yescharacteristic
465C4⋊#1055C2311yescharacteristic
466C4⋊#1055C2311yescharacteristic
467C4⋊#1055C2311yescharacteristic
468C4⋊#1055C2311yescharacteristic
469C4⋊#1055C2311yescharacteristic
470C4⋊#1055C2311yescharacteristic
471#88043C2311yescharacteristic
472#88043C2311yescharacteristic
473#88043C2311yescharacteristic
474#88043C2311yescharacteristic
475C4×#1055C2311yescharacteristic
476C4×#1055C2311yescharacteristic
477C4×#1055C2311yescharacteristic
478C4×#1055C2311yescharacteristic
479C4×#1055C2311yescharacteristic
480C4×#1055C2311yescharacteristic
481#61472—131nomaximal, Sylow
482C24×C13—21no—
483C24×C13—21no—
484C13×#41—22no—
485C13×#41—41no—
486C13×#41—82no—
487C2×Q8×C13—21no—
488C2×Q8×C13C2×D411yescharacteristic
489C2×Q8×C13C2411yescharacteristic
490C2×D4×C13—22no—
491C2×D4×C13—22no—
492C2×D4×C13—21no—
493C2×D4×C13—21no—
494C2×D4×C13—21no—
495C2×D4×C13—21no—
496C2×D4×C13—21no—
497C2×D4×C13—21no—
498C2×D4×C13—21no—
499C2×D4×C13—21no—
500C2×D4×C13—21no—
501C2×D4×C13—41no—
502C2×D4×C13—41no—
503C2×D4×C13—82no—
504C2×D4×C13C2×D411yescharacteristic
505C2×D4×C13C2×D411yescharacteristic
506C2×D4×C13C2×D411yescharacteristic
507C2×D4×C13C2411yescharacteristic
508C2×D4×C13C2411yescharacteristic
509C2×D4×C13C2411yescharacteristic
510C22×C4×C13—21no—
511C22×C4×C13—21no—
512C22×C4×C13—21no—
513C22×C4×C13—21no—
514C22×C4×C13—21no—
515C22×C4×C13—21no—
516C22×C4×C13—21no—
517C22×C4×C13—21no—
518C22×C4×C13—21no—
519C22×C4×C13—21no—
520C22×C4×C13—21no—
521C22×C4×C13—82no—
522C22×C4×C13C2×D411yescharacteristic
523C22×C4×C13C2×D411yescharacteristic
524C22×C4×C13C2411yescharacteristic
525C22×C4×C13C2411yescharacteristic
526C22×C4×C13C2411yescharacteristic
527C2×C22⋊D13—21no—
528C2×C22⋊D13—21no—
529C2×C22⋊D13—21no—
530C22×Dic13—21no—
531C22×Dic13—21no—
532C22×Dic13—21no—
533C22×Dic13—21no—
534#6127—22no—
535#6127—41no—
536C2×D52C2411yescharacteristic
537C2×C4×D13—21no—
538C2×C4×D13—21no—
539C2×C4×D13—21no—
540C2×Dic26—22no—
541C2×Dic26—22no—
542C2×Dic26—21no—
543C2×Dic26—21no—
544C2×Dic26—21no—
545C2×Dic26—41no—
546C2×Dic26—41no—
547C2×Dic26C2411yescharacteristic
548C2×Dic26C2411yescharacteristic
549C2×Dic26C2411yescharacteristic
550C13×C4⋊C4—21no—
551C13×C4⋊C4—21no—
552C13×C4⋊C4—21no—
553C13×C4⋊C4—21no—
554C13×C4⋊C4—21no—
555C13×C4⋊C4—21no—
556C13×C4⋊C4—21no—
557C13×C4⋊C4—21no—
558C13×C4⋊C4—21no—
559C13×C4⋊C4—21no—
560C13×C4⋊C4—21no—
561C13×C4⋊C4C2×D411yescharacteristic
562C13×C4⋊C4C2×D411yescharacteristic
563C13×C4⋊C4C2×D411yescharacteristic
564C13×C4⋊C4C2×D411yescharacteristic
565C13×C4⋊C4C2×D411yescharacteristic
566C13×C4⋊C4C2×D411yescharacteristic
567C13×C4⋊C4C2×D411yescharacteristic
568C13×C4⋊C4C2×D411yescharacteristic
569C13×C4⋊C4C2×D411yescharacteristic
570C13×C4⋊C4C2×D411yescharacteristic
571C13×C4⋊C4C2411yescharacteristic
572C13×C4⋊C4C2411yescharacteristic
573C13×C4⋊C4C2411yescharacteristic
574C13×C4⋊C4C2411yescharacteristic
575C13×C22⋊C4—21no—
576C13×C22⋊C4—21no—
577C13×C22⋊C4—21no—
578C13×C22⋊C4—21no—
579C13×C22⋊C4—21no—
580C13×C22⋊C4—21no—
581C13×C22⋊C4—21no—
582C13×C22⋊C4—21no—
583C13×C22⋊C4—21no—
584C13×C22⋊C4—21no—
585C13×C22⋊C4—21no—
586C13×C22⋊C4—21no—
587C13×C22⋊C4—21no—
588C13×C22⋊C4—21no—
589C13×C22⋊C4—21no—
590C13×C22⋊C4—21no—
591C13×C22⋊C4—21no—
592C13×C22⋊C4—21no—
593C13×C22⋊C4—21no—
594C13×C22⋊C4C2×D411yescharacteristic
595C13×C22⋊C4C2×D411yescharacteristic
596C13×C22⋊C4C2×D411yescharacteristic
597C13×C22⋊C4C2×D411yescharacteristic
598C13×C22⋊C4C2×D411yescharacteristic
599C13×C22⋊C4C2×D411yescharacteristic
600C13×C22⋊C4C2×D411yescharacteristic
601C13×C22⋊C4C2×D411yescharacteristic
602C13×C22⋊C4C2×D411yescharacteristic
603C13×C22⋊C4C2×D411yescharacteristic
604C42×C13—21no—
605C42×C13—21no—
606C42×C13—21no—
607C42×C13C2×D411yescharacteristic
608C42×C13C2×D411yescharacteristic
609C42×C13C2411yescharacteristic
610C42×C13C2411yescharacteristic
611C42×C13C2411yescharacteristic
612C42×C13C2411yescharacteristic
613C22⋊Dic13—21no—
614C22⋊Dic13—21no—
615C22⋊Dic13—21no—
616C22⋊Dic13—21no—
617C22⋊Dic13—21no—
618#6107—22no—
619#6107—41no—
620#6107—41no—
621#6106—22no—
622#6105—22no—
623#6105—22no—
624#6105—22no—
625#6105—22no—
626#6105—22no—
627#6105—22no—
628#6105—41no—
629#6105—41no—
630#6105#4114yescomplemented
631#6104—22no—
632#6104—41no—
633#6104—41no—
634#6103—21no—
635#6103—21no—
636#6103—21no—
637#6103—21no—
638#6103—21no—
639#6103—21no—
640#6103—21no—
641#6103—21no—
642C4⋊Dic13—21no—
643C4⋊Dic13—21no—
644C4⋊Dic13—21no—
645C4⋊Dic13—21no—
646C4⋊Dic13—21no—
647C4⋊Dic13C2411yescharacteristic
648C4⋊Dic13C2411yescharacteristic
649C4⋊Dic13C2411yescharacteristic
650C4⋊Dic13C2411yescharacteristic
651#6101—21no—
652#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656#6101—21no—
657#6101—21no—
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101—21no—
662#6101—21no—
663#6101—21no—
664#6101—21no—
665#6101—21no—
666#6101—21no—
667C4×Dic13—21no—
668C4×Dic13—21no—
669C4×Dic13—21no—
670C4×Dic13—21no—
671C4×Dic13—21no—
672C4×Dic13—21no—
673C4×Dic13—21no—
674C4×Dic13—21no—
675C4×Dic13—21no—
676#6099—41no—
677#6099—41no—
678C2×#1055—22no—
679C2×#1055—22no—
680C2×#1055—22no—
681C2×#1055—41no—
682C2×#1055C2411yescharacteristic
683C2×#1055C2411yescharacteristic
684C2×#1055C2411yescharacteristic
685C2×#1055C2411yescharacteristic
686C2×#1055C2411yescharacteristic
687C2×#1055C2411yescharacteristic
688C2×#1055C2411yescharacteristic
689C2×#1055C2411yescharacteristic
690#3516—131no—
691#3513D1311yescharacteristic, complemented
692#3394—131no—
693#3381—131no—
694#3376—131no—
695#3371—131no—
696#3337—131no—
697#3337—131no—
698#3335—131no—
699#3326—131no—
700#3323—131no—
701#3318—131no—
702#3314—131no—
703#3312—131no—
704#3308—131no—
705#3282—131no—
706#3282—131no—
707D4×SD16—131no—
708#3174—131no—
709#3173—131no—
710#3168—131no—
711#3121—131no—
712#3120—131no—
713#3119—131no—
714#3118—131no—
715#3117—131no—
716#3114—131no—
717#2966—131no—
718#2952—131no—
719#2949—131no—
720C2×C4×SD16—131no—
721C23×C13—21no—
722C23×C13—21no—
723C23×C13—21no—
724C23×C13—42no—
725C23×C13—42no—
726C23×C13—42no—
727C23×C13—81no—
728C23×C13—81no—
729C23×C13—81no—
730C23×C13C22×D411yescharacteristic
731C23×C13C22×D411yescharacteristic
732C23×C13C22×D411yescharacteristic
733C22×D13—21no—
734Q8×C13—21no—
735Q8×C13—21no—
736Q8×C13—41no—
737Q8×C13—81no—
738D4×C13—22no—
739D4×C13—22no—
740D4×C13—21no—
741D4×C13—21no—
742D4×C13—21no—
743D4×C13—21no—
744D4×C13—21no—
745D4×C13—41no—
746D4×C13—42no—
747D4×C13—42no—
748D4×C13—42no—
749D4×C13—42no—
750D4×C13—81no—
751D4×C13—81no—
752D4×C13—81no—
753D4×C13—81no—
754D4×C13—81no—
755D4×C13C2×#4112yes—
756C2×C4×C13—22no—
757C2×C4×C13—21no—
758C2×C4×C13—21no—
759C2×C4×C13—21no—
760C2×C4×C13—21no—
761C2×C4×C13—21no—
762C2×C4×C13—21no—
763C2×C4×C13—21no—
764C2×C4×C13—21no—
765C2×C4×C13—21no—
766C2×C4×C13—21no—
767C2×C4×C13—21no—
768C2×C4×C13—41no—
769C2×C4×C13—42no—
770C2×C4×C13—42no—
771C2×C4×C13—81no—
772C2×C4×C13—81no—
773C2×C4×C13—81no—
774C2×C4×C13—81no—
775C2×C4×C13—81no—
776C2×C4×C13—81no—
777C2×C4×C13—81no—
778C2×C4×C13—81no—
779C2×C4×C13—81no—
780C2×C4×C13C22×D411yescharacteristic
781C2×C4×C13C22×D411yescharacteristic
782C2×C4×C13C22×D411yescharacteristic
783C2×C4×C13C22×D411yescharacteristic
784C2×C4×C13C22×D411yescharacteristic
785C2×C4×C13C22×D411yescharacteristic
786C2×C4×C13C22×D411yescharacteristic
787C2×C4×C13C22×D411yescharacteristic
788C2×C4×C13C22×D411yescharacteristic
789C2×C4×C13C22×D411yescharacteristic
790C2×C4×C13C22×D411yescharacteristic
791C2×C4×C13C2511yescharacteristic
792C22⋊D13—42no—
793C22⋊D13—42no—
794C22⋊D13—81no—
795C2×Dic13—21no—
796C2×Dic13—21no—
797C2×Dic13—21no—
798C2×Dic13—21no—
799C2×Dic13—21no—
800C2×Dic13—21no—
801C2×Dic13—21no—
802C2×Dic13—42no—
803C2×Dic13—42no—
804C2×Dic13—81no—
805C2×Dic13—81no—
806D52—21no—
807D52—21no—
808C4×D13—42no—
809C4×D13—81no—
810C4×D13—81no—
811Dic26—21no—
812Dic26—21no—
813Dic26—21no—
814Dic26—21no—
815Dic26—21no—
816Dic26—42no—
817Dic26—42no—
818Dic26—81no—
819Dic26C2×#4112yes—
820#1055—21no—
821#1055—21no—
822#1055—21no—
823#1055—21no—
824#1055—21no—
825#1055—21no—
826#1055—21no—
827#1055C2×#4112yes—
828C2×#135—131no—
829C22×SD16—131no—
830C22×SD16—131no—
831#559C2×D1311yescharacteristic
832#557—131no—
833#556—131no—
834#556—261no—
835#554—131no—
836#554—261no—
837#554C2×D1311yescharacteristic
838#553—21no—
839#553—131no—
840#553—261no—
841#553C2×D1311yescharacteristic
842#552—131no—
843#552—261no—
844#552C2×D1311yescharacteristic
845#551—21no—
846#551—21no—
847D4×Q8—131no—
848#548—131no—
849#548—131no—
850#547C2×D1311yescharacteristic
851#546—21no—
852#546C2×D1311yescharacteristic
853#546C2×D1311yescharacteristic
854D42C2×D1311yescharacteristic
855#542—131no—
856#542—261no—
857#542C2×D1311yescharacteristic
858#541—131no—
859#541—261no—
860#540C2×D1311yescharacteristic
861#539—21no—
862#538—21no—
863#529—131no—
864#529—261no—
865#529—261no—
866#529C2×D1311yescharacteristic
867#529C2×D1311yescharacteristic
868#525—21no—
869C2×#123—21no—
870#520—131no—
871#520C2×D1311yescharacteristic
872#519—131no—
873#518C2×D1311yescharacteristic
874C2×C4×Q8—131no—
875C2×C4×D4C2×D1311yescharacteristic
876#499—131no—
877#499—131no—
878#498—131no—
879#495—131no—
880#495—131no—
881#492—131no—
882#491—131no—
883#490—131no—
884#489—131no—
885#489—131no—
886#488—131no—
887#488—131no—
888#485—131no—
889#485—131no—
890#484—131no—
891#484—131no—
892#483—131no—
893#483—131no—
894#482—131no—
895#482—131no—
896#481—131no—
897#481—131no—
898#480—131no—
899#480—131no—
900#479—131no—
901#479—131no—
902#479—131no—
903#479—131no—
904#478—131no—
905#478—131no—
906#478—131no—
907#478—131no—
908#477—131no—
909#476—131no—
910#475—131no—
911#474—131no—
912#470—131no—
913#469—131no—
914#468—131no—
915#468—131no—
916#467—131no—
917#466—131no—
918#465—131no—
919#465—131no—
920#465—131no—
921#465—131no—
922#465—131no—
923#465—131no—
924#464—131no—
925#464—131no—
926#464—131no—
927#464—131no—
928#463—131no—
929#463—131no—
930#463—131no—
931#463—131no—
932#462—131no—
933#461—131no—
934#460—131no—
935#459—131no—
936#452—131no—
937#452—131no—
938#451—131no—
939#451—131no—
940#450—131no—
941#450—131no—
942#449—131no—
943#449—131no—
944#448—131no—
945#448—131no—
946#447—131no—
947#447—131no—
948#446—131no—
949C8×Q8—131no—
950#442—131no—
951#442—131no—
952#442—131no—
953#441—131no—
954#441—131no—
955#441—131no—
956#440—131no—
957#440—131no—
958#440—131no—
959#440—131no—
960#440—131no—
961#440—131no—
962C4×Q16—131no—
963C4×SD16—131no—
964C4×SD16—131no—
965C4×SD16—131no—
966C4×SD16—131no—
967C4×SD16—131no—
968C4×SD16—131no—
969C4×SD16—131no—
970C4×SD16—131no—
971C4×SD16—131no—
972C4×SD16—131no—
973C4×SD16—131no—
974C4×SD16—131no—
975C4×SD16—131no—
976C4×SD16—131no—
977C4×D8—131no—
978#436—131no—
979#435—131no—
980#435—131no—
981C8×D4—131no—
982C8×D4—131no—
983C8×D4—131no—
984#433—131no—
985#433—131no—
986#432—131no—
987#427—131no—
988C2×#106—131no—
989C2×#106—131no—
990#419—131no—
991#418—131no—
992#417—131no—
993#417—131no—
994C2×#103—131no—
995C2×#102—131no—
996#405—131no—
997#405—131no—
998C2×C4×C8—131no—
999C22×C13—21no—
1000C22×C13—21no—
1001C22×C13—21no—
1002C22×C13—21no—
1003C22×C13—21no—
1004C22×C13—21no—
1005C22×C13—22no—
1006C22×C13—21no—
1007C22×C13—21no—
1008C22×C13—41no—
1009C22×C13—41no—
1010C22×C13—41no—
1011C22×C13—41no—
1012C22×C13—41no—
1013C22×C13—41no—
1014C22×C13—41no—
1015C22×C13—41no—
1016C22×C13—84no—
1017C22×C13—162no—
1018C22×C13#57712yes—
1019C22×C13C23×D411yescharacteristic
1020C2×D13—41no—
1021C2×D13—41no—
1022C2×D13—41no—
1023C4×C13—21no—
1024C4×C13—21no—
1025C4×C13—21no—
1026C4×C13—21no—
1027C4×C13—21no—
1028C4×C13—21no—
1029C4×C13—21no—
1030C4×C13—21no—
1031C4×C13—21no—
1032C4×C13—21no—
1033C4×C13—21no—
1034C4×C13—41no—
1035C4×C13—41no—
1036C4×C13—41no—
1037C4×C13—41no—
1038C4×C13—41no—
1039C4×C13C22×#4111yescharacteristic
1040C4×C13#58511yescharacteristic
1041Dic13—22no—
1042Dic13—41no—
1043Dic13—41no—
1044Dic13—41no—
1045Dic13—41no—
1046Dic13—41no—
1047Dic13—41no—
1048C2×#41—21no—
1049C2×#41—131no—
1050C2×#41C22×D1311yescharacteristic
1051C22×Q8—131no—
1052C22×Q8—131no—
1053C22×D4—21no—
1054C22×D4C22×D1311yescharacteristic
1055C22×D4C22×D1311yescharacteristic
1056C23×C4—21no—
1057#135—264no—
1058C2×Q16—131no—
1059C2×Q16—131no—
1060C2×Q16—131no—
1061C2×SD16—131no—
1062C2×SD16—131no—
1063C2×SD16—131no—
1064C2×SD16—131no—
1065C2×SD16—131no—
1066C2×SD16—131no—
1067C2×SD16—131no—
1068C2×SD16—131no—
1069C2×SD16—131no—
1070C2×SD16—131no—
1071C2×SD16—264no—
1072C2×SD16—264no—
1073C2×D8—131no—
1074C2×D8—131no—
1075C2×D8—131no—
1076C2×M16—131no—
1077C2×M16—131no—
1078C22×C8—131no—
1079C22×C8—131no—
1080C22×C8—131no—
1081C22×C8—131no—
1082C4⋊Q8—131no—
1083C4⋊Q8—131no—
1084C4⋊Q8—261no—
1085C4⋊Q8—261no—
1086C4⋊Q8C22×D1311yescharacteristic
1087#127C22×D1311yescharacteristic
1088#126—21no—
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—261no—
1093#126—261no—
1094#126—261no—
1095#126—261no—
1096#126—261no—
1097#126—261no—
1098#126—261no—
1099#126—261no—
1100#126C22⋊D1311yescharacteristic
1101#126C22⋊D1311yescharacteristic
1102#125—21no—
1103#125—131no—
1104#125—131no—
1105#125—261no—
1106#125—261no—
1107#125—261no—
1108#125—261no—
1109#125—261no—
1110#125—261no—
1111#125C22⋊D1311yescharacteristic
1112#125C22×D1311yescharacteristic
1113#125C22×D1311yescharacteristic
1114#124—21no—
1115#124—21no—
1116#124—131no—
1117#124—131no—
1118#124—261no—
1119#124—261no—
1120#124—261no—
1121#124C22⋊D1311yescharacteristic
1122#124C22×D1311yescharacteristic
1123#124C22×D1311yescharacteristic
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—261no—
1137#123—261no—
1138#123—261no—
1139#123—261no—
1140#123C22⋊D1311yescharacteristic
1141#123C22⋊D1311yescharacteristic
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—131no—
1148C22⋊Q8—131no—
1149C22⋊Q8—131no—
1150C22⋊Q8—131no—
1151C22⋊Q8—261no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8—261no—
1155C22⋊Q8—261no—
1156C22⋊Q8—261no—
1157C22⋊Q8—261no—
1158C22⋊Q8—261no—
1159C22⋊Q8C22⋊D1311yescharacteristic
1160C22⋊Q8C22×D1311yescharacteristic
1161C22⋊Q8C22×D1311yescharacteristic
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—131no—
1169#121—131no—
1170#121—261no—
1171#121—261no—
1172#121—261no—
1173#121C22⋊D1311yescharacteristic
1174#121C22×D1311yescharacteristic
1175#121C22×D1311yescharacteristic
1176#121C22×D1311yescharacteristic
1177#121C22×D1311yescharacteristic
1178#120—21no—
1179#120—21no—
1180#120—21no—
1181#120—21no—
1182C4×Q8—131no—
1183C4×Q8—131no—
1184C4×Q8—131no—
1185C4×Q8—131no—
1186C4×Q8—131no—
1187C4×Q8—131no—
1188C4×Q8—131no—
1189C4×Q8—131no—
1190C4×Q8—261no—
1191C4×Q8—261no—
1192C4×Q8—261no—
1193C4×Q8—261no—
1194C4×Q8—261no—
1195C4×Q8C22×D1311yescharacteristic
1196C4×Q8C22×D1311yescharacteristic
1197C4×Q8C22×D1311yescharacteristic
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—131no—
1208C4×D4—131no—
1209C4×D4—261no—
1210C4×D4—261no—
1211C4×D4—261no—
1212C4×D4—261no—
1213C4×D4—261no—
1214C4×D4—261no—
1215C4×D4—261no—
1216C4×D4—261no—
1217C4×D4C22×D1311yescharacteristic
1218C4×D4C22×D1311yescharacteristic
1219C4×D4C22×D1311yescharacteristic
1220C4×D4C22×D1311yescharacteristic
1221C4×D4C22×D1311yescharacteristic
1222C4×D4C22×D1311yescharacteristic
1223C4×D4C22×D1311yescharacteristic
1224C4×D4C22×D1311yescharacteristic
1225C4×D4C22×D1311yescharacteristic
1226C4×D4C22×D1311yescharacteristic
1227C4×D4C22×D1311yescharacteristic
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—131no—
1232#117—261no—
1233#117—261no—
1234#117—261no—
1235#117—261no—
1236#117—261no—
1237#117—261no—
1238#117C22×D1311yescharacteristic
1239#117C22×D1311yescharacteristic
1240#117C22×D1311yescharacteristic
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4—131no—
1244C2×C4⋊C4—131no—
1245C2×C4⋊C4—261no—
1246C2×C4⋊C4—261no—
1247C2×C4⋊C4C22×D1311yescharacteristic
1248C2×C4⋊C4C22×D1311yescharacteristic
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—21no—
1251C2×C22⋊C4—21no—
1252C2×C22⋊C4—21no—
1253C2×C22⋊C4—21no—
1254C2×C42—261no—
1255C2×C42C22×D1311yescharacteristic
1256#107—131no—
1257#107—131no—
1258#107—131no—
1259#107—131no—
1260#107—131no—
1261#107—131no—
1262#106—131no—
1263#106—131no—
1264#106—131no—
1265#106—131no—
1266#106—131no—
1267#106—131no—
1268#106—131no—
1269#106—131no—
1270#106—131no—
1271#106—131no—
1272C4⋊C8—131no—
1273C4⋊C8—131no—
1274C4⋊C8—131no—
1275C4⋊C8—131no—
1276C4⋊C8—131no—
1277C4⋊C8—131no—
1278#103—131no—
1279#103—131no—
1280#103—131no—
1281#103—131no—
1282#103—131no—
1283#103—131no—
1284#103—131no—
1285#103—131no—
1286#103—131no—
1287#103—131no—
1288#103—131no—
1289#103—131no—
1290#103—131no—
1291#103—131no—
1292#103—131no—
1293#103—131no—
1294#102—131no—
1295#102—131no—
1296#102—131no—
1297#102—131no—
1298#102—131no—
1299#102—131no—
1300#102—131no—
1301#102—131no—
1302#102—131no—
1303#102—131no—
1304#102—131no—
1305#102—131no—
1306#102—131no—
1307#102—131no—
1308#102—131no—
1309#102—131no—
1310C22⋊C8—131no—
1311C22⋊C8—131no—
1312C22⋊C8—131no—
1313C22⋊C8—131no—
1314C22⋊C8—131no—
1315C22⋊C8—131no—
1316#97—131no—
1317#97—131no—
1318#97—131no—
1319#97—131no—
1320C4×C8—131no—
1321C4×C8—131no—
1322C4×C8—131no—
1323C4×C8—131no—
1324C4×C8—131no—
1325C4×C8—131no—
1326C2×C13—22no—
1327C2×C13—41no—
1328C2×C13—41no—
1329C2×C13—42no—
1330C2×C13—81no—
1331C2×C13—81no—
1332C2×C13D4×#4111yescharacteristic
1333C2×C13C2×#57711yescharacteristic
1334C2×C13#358411yescharacteristic
1335D13—81no—
1336C24—21no—
1337C24—21no—
1338#41—22no—
1339#41—41no—
1340#41—82no—
1341#41—262no—
1342#41—521no—
1343C2×Q8—21no—
1344C2×Q8—131no—
1345C2×Q8—131no—
1346C2×Q8—131no—
1347C2×Q8—262no—
1348C2×Q8—262no—
1349C2×Q8—261no—
1350C2×Q8—261no—
1351C2×Q8—261no—
1352C2×Q8—521no—
1353C2×Q8—521no—
1354C2×Q8C2×C22⋊D1311yescharacteristic
1355C2×Q8C23×D1311yescharacteristic
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—82no—
1370C2×D4—131no—
1371C2×D4—261no—
1372C2×D4—261no—
1373C2×D4—261no—
1374C2×D4C2×C22⋊D1311yescharacteristic
1375C2×D4C2×C22⋊D1311yescharacteristic
1376C2×D4C2×C22⋊D1311yescharacteristic
1377C2×D4C23×D1311yescharacteristic
1378C2×D4C23×D1311yescharacteristic
1379C2×D4C23×D1311yescharacteristic
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—82no—
1392C22×C4—261no—
1393C22×C4—261no—
1394C22×C4—261no—
1395C22×C4—261no—
1396C22×C4—261no—
1397C22×C4—261no—
1398C22×C4—261no—
1399C22×C4C2×C22⋊D1311yescharacteristic
1400C22×C4C2×C22⋊D1311yescharacteristic
1401C22×C4C23×D1311yescharacteristic
1402C22×C4C23×D1311yescharacteristic
1403C22×C4C23×D1311yescharacteristic
1404Q16—262no—
1405Q16—521no—
1406Q16—521no—
1407SD16—134no—
1408SD16—262no—
1409SD16—262no—
1410SD16—262no—
1411SD16—262no—
1412SD16—262no—
1413SD16—262no—
1414SD16—262no—
1415SD16—521no—
1416SD16—521no—
1417D8—262no—
1418D8—521no—
1419D8—521no—
1420M16—521no—
1421M16—521no—
1422C2×C8—131no—
1423C2×C8—131no—
1424C2×C8—131no—
1425C2×C8—131no—
1426C2×C8—131no—
1427C2×C8—131no—
1428C2×C8—131no—
1429C2×C8—131no—
1430C2×C8—262no—
1431C2×C8—262no—
1432C2×C8—262no—
1433C2×C8—521no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—131no—
1446C4⋊C4—131no—
1447C4⋊C4—131no—
1448C4⋊C4—131no—
1449C4⋊C4—261no—
1450C4⋊C4—261no—
1451C4⋊C4—261no—
1452C4⋊C4—261no—
1453C4⋊C4—261no—
1454C4⋊C4—261no—
1455C4⋊C4—261no—
1456C4⋊C4—261no—
1457C4⋊C4—261no—
1458C4⋊C4—261no—
1459C4⋊C4—261no—
1460C4⋊C4—261no—
1461C4⋊C4—261no—
1462C4⋊C4—261no—
1463C4⋊C4—261no—
1464C4⋊C4—261no—
1465C4⋊C4—261no—
1466C4⋊C4—261no—
1467C4⋊C4—261no—
1468C4⋊C4—261no—
1469C4⋊C4—261no—
1470C4⋊C4C2×C22⋊D1311yescharacteristic
1471C4⋊C4C2×C22⋊D1311yescharacteristic
1472C4⋊C4C2×C22⋊D1311yescharacteristic
1473C4⋊C4C2×C22⋊D1311yescharacteristic
1474C4⋊C4C2×C22⋊D1311yescharacteristic
1475C4⋊C4C2×C22⋊D1311yescharacteristic
1476C4⋊C4C2×C22⋊D1311yescharacteristic
1477C4⋊C4C2×C22⋊D1311yescharacteristic
1478C4⋊C4C2×C22⋊D1311yescharacteristic
1479C4⋊C4C2×C22⋊D1311yescharacteristic
1480C4⋊C4C23×D1311yescharacteristic
1481C4⋊C4C23×D1311yescharacteristic
1482C4⋊C4C23×D1311yescharacteristic
1483C4⋊C4C23×D1311yescharacteristic
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—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—261no—
1504C22⋊C4—261no—
1505C22⋊C4—261no—
1506C22⋊C4—261no—
1507C22⋊C4—261no—
1508C22⋊C4—261no—
1509C22⋊C4—261no—
1510C22⋊C4—261no—
1511C22⋊C4—261no—
1512C22⋊C4—261no—
1513C22⋊C4—261no—
1514C22⋊C4—261no—
1515C22⋊C4—261no—
1516C22⋊C4C2×C22⋊D1311yescharacteristic
1517C22⋊C4C2×C22⋊D1311yescharacteristic
1518C22⋊C4C2×C22⋊D1311yescharacteristic
1519C22⋊C4C2×C22⋊D1311yescharacteristic
1520C22⋊C4C2×C22⋊D1311yescharacteristic
1521C22⋊C4C2×C22⋊D1311yescharacteristic
1522C22⋊C4C2×C22⋊D1311yescharacteristic
1523C22⋊C4C2×C22⋊D1311yescharacteristic
1524C22⋊C4C2×C22⋊D1311yescharacteristic
1525C22⋊C4C2×C22⋊D1311yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—261no—
1530C42—261no—
1531C42—261no—
1532C42—261no—
1533C42—261no—
1534C42—261no—
1535C42—261no—
1536C42—261no—
1537C42—261no—
1538C42C2×C22⋊D1311yescharacteristic
1539C42C2×C22⋊D1311yescharacteristic
1540C42C23×D1311yescharacteristic
1541C42C23×D1311yescharacteristic
1542C42C23×D1311yescharacteristic
1543C42C23×D1311yescharacteristic
1544C13#6147211yescharacteristic, complemented, Sylow
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—42no—
1551C23—81no—
1552C23—81no—
1553C23—81no—
1554C23—261no—
1555C23C22×C22⋊D1311yescharacteristic
1556C23C22×C22⋊D1311yescharacteristic
1557C23C22×C22⋊D1311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—41no—
1561Q8—81no—
1562Q8—132no—
1563Q8—261no—
1564Q8—261no—
1565Q8—261no—
1566Q8—261no—
1567Q8—261no—
1568Q8—522no—
1569Q8—522no—
1570Q8—1041no—
1571D4—22no—
1572D4—22no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—41no—
1579D4—42no—
1580D4—42no—
1581D4—42no—
1582D4—42no—
1583D4—81no—
1584D4—81no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—261no—
1589D4—261no—
1590D4—522no—
1591D4—522no—
1592D4—1041no—
1593D4#41×D1312yes—
1594C2×C4—22no—
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—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—41no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—261no—
1619C2×C4—261no—
1620C2×C4—261no—
1621C2×C4—261no—
1622C2×C4—261no—
1623C2×C4—261no—
1624C2×C4—261no—
1625C2×C4—522no—
1626C2×C4—522no—
1627C2×C4—522no—
1628C2×C4—1041no—
1629C2×C4—1041no—
1630C2×C4—1041no—
1631C2×C4—1041no—
1632C2×C4C22×C22⋊D1311yescharacteristic
1633C2×C4C22×C22⋊D1311yescharacteristic
1634C2×C4C22×C22⋊D1311yescharacteristic
1635C2×C4C22×C22⋊D1311yescharacteristic
1636C2×C4C22×C22⋊D1311yescharacteristic
1637C2×C4C22×C22⋊D1311yescharacteristic
1638C2×C4C22×C22⋊D1311yescharacteristic
1639C2×C4C22×C22⋊D1311yescharacteristic
1640C2×C4C22×C22⋊D1311yescharacteristic
1641C2×C4C22×C22⋊D1311yescharacteristic
1642C2×C4C22×C22⋊D1311yescharacteristic
1643C2×C4C24×D1311yescharacteristic
1644C8—132no—
1645C8—261no—
1646C8—261no—
1647C8—261no—
1648C8—261no—
1649C8—261no—
1650C8—261no—
1651C8—261no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—22no—
1659C22—21no—
1660C22—21no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—84no—
1670C22—162no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22#1171954112yes—
1675C22C23×C22⋊D1311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—262no—
1693C4—521no—
1694C4—521no—
1695C4—521no—
1696C4—521no—
1697C4—521no—
1698C4—521no—
1699C4C2×#41×D1311yescharacteristic
1700C4#1171964811yescharacteristic
1701C2—22no—
1702C2—41no—
1703C2—41no—
1704C2—42no—
1705C2—81no—
1706C2—81no—
1707C2—1041no—
1708C2#41×C22⋊D1311yescharacteristic
1709C2C2×#1171954111yescharacteristic
1710C2#1312960711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3513C2
socleC22×C13C23×D4
hypercenter#3513D13
hypocenterC13#61472
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #529 ◁ #3513

Complements

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

NH ≅ G/Ntype
1. #13128825C2semidirect
2. #13127828C2semidirect
3. #13127711C2semidirect
4. #13127663C2semidirect
5. #13127598C2semidirect
6. #13127215C2semidirect
7. #13127209C2semidirect
8. #13127193C2semidirect
9. #13127083C2semidirect
10. #13127052C2semidirect
11. #13126977C2semidirect
12. #13126917C2semidirect
13. #13126881C2semidirect
14. #13126821C2semidirect
15. #13126539C2semidirect
16. #13126539C2semidirect
17. D4×#6105C2semidirect
18. #13125458C2semidirect
19. #13125447C2semidirect
20. #13125400C2semidirect
21. #13125059C2semidirect
22. #13125050C2semidirect
23. #13125029C2semidirect
24. #13125020C2semidirect
25. #13125003C2semidirect
26. #13124974C2semidirect
27. #13123812C2semidirect
28. #13123717C2semidirect
29. #13123693C2semidirect
30. C2×C4×#6105C2semidirect
31. C13×#3513C2semidirect
66. #11719289C22semidirect
67. #11719272C22semidirect
69. #11719257C22semidirect
70. #11719257C22semidirect
71. #11719248C22semidirect
72. #11719246C22semidirect
74. #11719239C22semidirect
75. #11719228C22semidirect
76. #11719223C22semidirect
77. #11719221C22semidirect
78. #11719184C22semidirect
79. C2×C4×Dic26C22semidirect
89. #11718755C22semidirect
90. #11718752C22semidirect
91. #11718750C22semidirect
92. #11718740C22semidirect
97. #11718730C22semidirect
98. #11718729C22semidirect
99. #11718727C22semidirect
100. #11718725C22semidirect
101. #11718725C22semidirect
102. #11718724C22semidirect
103. #11718724C22semidirect
104. #11718724C22semidirect
105. #11718720C22semidirect
106. #11718720C22semidirect
107. #11718717C22semidirect
108. #11718716C22semidirect
109. #11718715C22semidirect
110. #11718715C22semidirect
111. #11718715C22semidirect
112. #11718715C22semidirect
113. #11718713C22semidirect
114. #11718712C22semidirect
115. #11718711C22semidirect
116. #11718711C22semidirect
117. #11718709C22semidirect
118. #11718709C22semidirect
119. #11718706C22semidirect
120. #11718705C22semidirect
121. #11718703C22semidirect
122. #11718703C22semidirect
125. #11718702C22semidirect
126. #11718702C22semidirect
131. #11718698C22semidirect
132. #11718698C22semidirect
135. #11718695C22semidirect
136. #11718694C22semidirect
137. #11718692C22semidirect
138. #11718691C22semidirect
139. #11718691C22semidirect
140. #11718691C22semidirect
141. C4×#6107C22semidirect
142. C4×#6106C22semidirect
143. C4×#6106C22semidirect
144. #11718685C22semidirect
145. Q8×#1055C22semidirect
146. #11718683C22semidirect
150. #11718679C22semidirect
151. #11718679C22semidirect
152. #11718679C22semidirect
153. #11718679C22semidirect
160. C4×#6105C22semidirect
161. C4×#6105C22semidirect
162. C4×#6105C22semidirect
163. C4×#6105C22semidirect
164. C4×#6105C22semidirect
165. C4×#6105C22semidirect
168. #11718677C22semidirect
169. #11718677C22semidirect
172. #11718675C22semidirect
173. C4×#6104C22semidirect
174. #11718673C22semidirect
176. #11718672C22semidirect
178. D4×#1055C22semidirect
179. D4×#1055C22semidirect
182. #11718670C22semidirect
183. #11718669C22semidirect
185. #11718665C22semidirect
186. #11718664C22semidirect
187. #11718661C22semidirect
188. #11718661C22semidirect
189. #11718659C22semidirect
190. #11718658C22semidirect
191. #11718658C22semidirect
192. #11718657C22semidirect
193. #11718632C22semidirect
194. #11718632C22semidirect
195. #11718631C22semidirect
196. C2×#88050C22semidirect
197. #11718628C22semidirect
198. #11718627C22semidirect
199. C2×#88048C22semidirect
200. C2×#88048C22semidirect
201. #11718587C22semidirect
202. C2×C4×#1055C22semidirect
630. #6105#41semidirect
691. #3513D13semidirect
1544. C13#61472semidirect

Maximal subgroups

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

subgroupindex
#131288252
#131278282
#131277112
#131276632
#131275982
#131272152
#131272092
#131271932
#131270832
#131270522
#131269772
#131269172
#131268812
#131268212
#131265392
D4×#61052
#131254582
#131254472
#131254002
#131250592
#131250502
#131250292
#131250202
#131250032
#131249742
#131238122
#131237172
#131236932
C2×C4×#61052
C13×#35132
#6147213