Finite Group Databasebeta

← #15638639

Subgroups — #15638639

Order 2816.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082411C211yesmaximal, characteristic, complemented
2D11×#548C211yesmaximal, characteristic
3#13080734C211yesmaximal, characteristic, complemented
4#13080733C211yesmaximal, characteristic, complemented
5#13080732C211yesmaximal, characteristic, complemented
6#13080731C211yesmaximal, characteristic, complemented
7#13080729C211yesmaximal, characteristic, complemented
8#13080727C211yesmaximal, characteristic, complemented
9#13080722C211yesmaximal, characteristic, complemented
10#13080720C211yesmaximal, characteristic, complemented
11#13080192C211yesmaximal, characteristic, complemented
12#13080189C211yesmaximal, characteristic, complemented
13#13080187C211yesmaximal, characteristic, complemented
14#13080186C211yesmaximal, characteristic, complemented
15#13080185C211yesmaximal, characteristic, complemented
16#13080180C211yesmaximal, characteristic, complemented
17#13080179C211yesmaximal, characteristic, complemented
18#13079617C211yesmaximal, characteristic, complemented
19#13079614C211yesmaximal, characteristic, complemented
20#13079438C211yesmaximal, characteristic, complemented
21#13079436C211yesmaximal, characteristic, complemented
22#13079371C211yesmaximal, characteristic, complemented
23#13079368C211yesmaximal, characteristic, complemented
24#13078745C211yesmaximal, characteristic, complemented
25#13078744C211yesmaximal, characteristic, complemented
26#13077873C211yesmaximal, characteristic, complemented
27#13077872C211yesmaximal, characteristic, complemented
28C2×#10622799C211yesmaximal, characteristic, complemented
29D11×#451C211yesmaximal, characteristic, complemented
30#13077641C211yesmaximal, characteristic, complemented
31C11×#3270C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×Q8×D11C2211yescharacteristic
34C2×C11×#137C2211yescharacteristic, complemented
35C22×C11×Q16C2211yescharacteristic, complemented
36D4×Q8×C11C2211yescharacteristic, complemented
37C11×#548C2211yescharacteristic
38#10623362C2211yescharacteristic
39#10623348C2211yescharacteristic
40Q8×C22⋊D11C2211yescharacteristic, complemented
41Q8×C22⋊D11C2211yescharacteristic, complemented
42C2×#66999C2211yescharacteristic
43C2×#66999C2211yescharacteristic
44C22×#4326C2211yescharacteristic, complemented
45C2×#66995C2211yescharacteristic, complemented
46C2×#66971C2211yescharacteristic, complemented
47C2×Q16×D11C2211yescharacteristic, complemented
48C2×Q16×D11C2211yescharacteristic, complemented
49C2×#66968C2211yescharacteristic, complemented
50#10623261—21no—
51#10623260—21no—
52#10623259C2211yescharacteristic
53#10623258C2211yescharacteristic, complemented
54#10623208—21no—
55#10623208C2211yescharacteristic
56D11×#124—21no—
57D11×#124C2211yescharacteristic
58#10623167—21no—
59#10623167—21no—
60#10623166C2211yescharacteristic, complemented
61#10623166C2211yescharacteristic, complemented
62#10623165—21no—
63#10623165—21no—
64#10623164—21no—
65#10623164C2211yescharacteristic
66D11×C22⋊Q8—21no—
67D11×C22⋊Q8C2211yescharacteristic
68D11×C22⋊Q8C2211yescharacteristic
69D11×C22⋊Q8C2211yescharacteristic
70D11×#121—21no—
71D11×#121C2211yescharacteristic
72#10623129—21no—
73#10623129C2211yescharacteristic
74#10623110C2211yescharacteristic, complemented
75#10623109C2211yescharacteristic
76#10623107C2211yescharacteristic
77C4×Q8×D11C2211yescharacteristic
78#10623083—21no—
79#10623083C2211yescharacteristic
80#10623076—21no—
81C4×D4×D11—21no—
82C4×D4×D11C2211yescharacteristic
83#10623074C2211yescharacteristic, complemented
84#10623070—21no—
85C11×#497C2211yescharacteristic, complemented
86C11×#470C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#462C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#451C2211yescharacteristic, complemented
92C11×#451C2211yescharacteristic, complemented
93C11×#448C2211yescharacteristic, complemented
94C11×#441C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622845C2211yescharacteristic, complemented
98#10622841C2211yescharacteristic, complemented
99#10622841C2211yescharacteristic, complemented
100#10622840C2211yescharacteristic, complemented
101C2×#66899C2211yescharacteristic, complemented
102#10622803C2211yescharacteristic, complemented
103#10622802C2211yescharacteristic, complemented
104#10622802C2211yescharacteristic, complemented
105#10622800C2211yescharacteristic, complemented
106#10622800C2211yescharacteristic, complemented
107#10622799C2211yescharacteristic
108#10622799C2211yescharacteristic
109#10622799C2211yescharacteristic
110#10622799C2211yescharacteristic
111#10622799C2211yescharacteristic
112#10622799C2211yescharacteristic
113#10622799C2211yescharacteristic, complemented
114#10622799C2211yescharacteristic, complemented
115#10622799C2211yescharacteristic, complemented
116#10622799C2211yescharacteristic, complemented
117#10622799C2211yescharacteristic, complemented
118#10622798C2211yescharacteristic, complemented
119#10622798C2211yescharacteristic, complemented
120#10622797C2211yescharacteristic, complemented
121#10622797C2211yescharacteristic, complemented
122#10622795C2211yescharacteristic, complemented
123#10622786C2211yescharacteristic, complemented
124#10622786C2211yescharacteristic, complemented
125#10622784C2211yescharacteristic, complemented
126#10622784C2211yescharacteristic, complemented
127#10622783C2211yescharacteristic, complemented
128#10622782C2211yescharacteristic
129#10622782C2211yescharacteristic
130#10622782C2211yescharacteristic
131#10622780C2211yescharacteristic, complemented
132#10622779C2211yescharacteristic, complemented
133#10622779C2211yescharacteristic, complemented
134#10622750C2211yescharacteristic, complemented
135#10622746C2211yescharacteristic, complemented
136#10622740C2211yescharacteristic, complemented
137#10622739C2211yescharacteristic
138#10622727C2211yescharacteristic, complemented
139#10622724C2211yescharacteristic, complemented
140C2×(C2×D11)⋊C8C2211yescharacteristic
141C2×#66880C2211yescharacteristic, complemented
142#10622703C2211yescharacteristic, complemented
143#10622699C2211yescharacteristic, complemented
144#10622668C2211yescharacteristic, complemented
145#10622667C2211yescharacteristic, complemented
146#10622665C2211yescharacteristic, complemented
147#10622665C2211yescharacteristic, complemented
148#10622663C2211yescharacteristic, complemented
149#10622661C2211yescharacteristic, complemented
150#10622660C2211yescharacteristic, complemented
151#10622656C2211yescharacteristic, complemented
152#10622654C2211yescharacteristic, complemented
153#10622647C2211yescharacteristic, complemented
154#10622643C2211yescharacteristic, complemented
155#10622643C2211yescharacteristic, complemented
156#10622641C2211yescharacteristic, complemented
157#10622633C2211yescharacteristic, complemented
158#10622624C2211yescharacteristic, complemented
159#10622476C2211yescharacteristic, complemented
160#10622475C2211yescharacteristic
161#10622475C2211yescharacteristic, complemented
162#10622467C2211yescharacteristic, complemented
163#10622464C2211yescharacteristic, complemented
164#10622458C2211yescharacteristic, complemented
165#10622449C2211yescharacteristic, complemented
166#10622448C2211yescharacteristic
167#10622429C2211yescharacteristic, complemented
168#10622429C2211yescharacteristic, complemented
169#10622421C2211yescharacteristic
170#10622421C2211yescharacteristic
171#10622421C2211yescharacteristic, complemented
172#10622420C2211yescharacteristic, complemented
173#10622420C2211yescharacteristic, complemented
174#10622419C2211yescharacteristic, complemented
175#10622418C2211yescharacteristic
176#10622418C2211yescharacteristic
177#10622418C2211yescharacteristic
178#10622418C2211yescharacteristic, complemented
179#10622416C2211yescharacteristic, complemented
180D11×#103C2211yescharacteristic, complemented
181D11×#103C2211yescharacteristic, complemented
182#10622408C2211yescharacteristic, complemented
183#10622406C2211yescharacteristic, complemented
184#10622404C2211yescharacteristic, complemented
185#10622402C2211yescharacteristic, complemented
186#10622402C2211yescharacteristic, complemented
187#10622390C2211yescharacteristic, complemented
188#10622389C2211yescharacteristic
189#10622384C2211yescharacteristic, complemented
190#10622378C2211yescharacteristic, complemented
191#10622352C2211yescharacteristic, complemented
192#10622348C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622343C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic, complemented
196#10622339C2211yescharacteristic
197D11×C22⋊C8C2211yescharacteristic
198#10622334C2211yescharacteristic, complemented
199#10622329C2211yescharacteristic, complemented
200#10622327C2211yescharacteristic, complemented
201#10622319C2211yescharacteristic, complemented
202#10622318C2211yescharacteristic
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206C22×Q8×C11C2311yescharacteristic
207#41×D11—42no—
208#41×D11—42no—
209C2×#4343C2311yescharacteristic
210C2×Q8×D11—21no—
211C2×Q8×D11—21no—
212C2×Q8×D11—42no—
213C2×Q8×D11—42no—
214C2×Q8×D11C2311yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×Q8×D11C2311yescharacteristic
219C2×Q8×D11C2311yescharacteristic
220C2×#4341—21no—
221C2×#4341C2311yescharacteristic
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11D411yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×#4339—21no—
227C2×#4339C2311yescharacteristic
228C22×C4×D11—21no—
229C22×C4×D11—21no—
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×Dic22—21no—
233C22×Dic22C2311yescharacteristic
234C11×#137—42no—
235C2×C11×Q16—42no—
236C2×C11×Q16C2311yescharacteristic
237C2×C11×Q16C2311yescharacteristic
238C2×C11×Q16C2311yescharacteristic
239C2×C11×Q16C2311yescharacteristic
240C2×C11×Q16C2311yescharacteristic
241C2×C11×Q16C2311yescharacteristic
242C2×C11×SD16C2311yescharacteristic
243C2×C11×SD16C2311yescharacteristic
244C2×C11×SD16C2311yescharacteristic
245C2×C11×M16C2311yescharacteristic
246C22×C8×C11C2311yescharacteristic
247C11×C4⋊Q8—21no—
248C11×C4⋊Q8C2311yescharacteristic
249C11×#124—21no—
250C11×#124C2311yescharacteristic
251C11×C22⋊Q8—21no—
252C11×C22⋊Q8—21no—
253C11×C22⋊Q8—21no—
254C11×C22⋊Q8C2311yescharacteristic
255C11×C22⋊Q8C2311yescharacteristic
256C11×C22⋊Q8C2311yescharacteristic
257C11×#121—21no—
258C11×#121C2311yescharacteristic
259C4×Q8×C11C2311yescharacteristic
260C4×Q8×C11C2311yescharacteristic
261C4×D4×C11—21no—
262C4×D4×C11—21no—
263C4×D4×C11C2311yescharacteristic
264#67000—21no—
265#67000C2311yescharacteristic
266#66999—21no—
267#66999—21no—
268#66999—21no—
269#66999—21no—
270#66999—21no—
271#66999—21no—
272#66999—21no—
273#66999C2311yescharacteristic
274#66999C2311yescharacteristic
275#66999C2311yescharacteristic
276#66999C2311yescharacteristic
277#66999C2311yescharacteristic
278#66999C2311yescharacteristic
279#66999C2311yescharacteristic
280#66999C2311yescharacteristic
281Q8×Dic11C2311yescharacteristic
282Q8×Dic11C2311yescharacteristic
283Q8×Dic11C2311yescharacteristic
284#66997—21no—
285#66997—21no—
286#66997C2311yescharacteristic
287C2×#4326—42no—
288C2×#4326C2311yescharacteristic
289C2×#4326C2311yescharacteristic
290C2×#4326C2311yescharacteristic
291C2×#4326C2311yescharacteristic
292C2×#4326C2311yescharacteristic
293C2×#4326C2311yescharacteristic
294C2×#4326C2311yescharacteristic
295C2×#4326C2311yescharacteristic
296#66995—42no—
297C2×#4325C2311yescharacteristic
298C2×#4325C2311yescharacteristic
299C2×#4325C2311yescharacteristic
300#66992—21no—
301#66992—21no—
302#66992—21no—
303#66991—21no—
304#66991C2311yescharacteristic
305#66989—21no—
306#66989C2311yescharacteristic
307D4×Dic11—21no—
308D4×Dic11—21no—
309D4×Dic11D411yescharacteristic
310C2×#4324C2311yescharacteristic
311#66983—21no—
312#66983C2311yescharacteristic
313C4×C22⋊D11—21no—
314C4×C22⋊D11—21no—
315C4×C22⋊D11—21no—
316C4×C22⋊D11—21no—
317C4×C22⋊D11C2311yescharacteristic
318C4×C22⋊D11C2311yescharacteristic
319C2×(C2×D11)⋊C4—21no—
320C2×(C2×D11)⋊C4—21no—
321C2×C4⋊Dic11C2311yescharacteristic
322C2×C4⋊Dic11C2311yescharacteristic
323#66977—21no—
324#66977—21no—
325#66977—21no—
326#66977C2311yescharacteristic
327#66977C2311yescharacteristic
328#66977C2311yescharacteristic
329C2×Dic11⋊C4—21no—
330C2×Dic11⋊C4—21no—
331C2×#4318C2311yescharacteristic
332C22×C11⋊C8C2311yescharacteristic
333#66971—42no—
334Q16×D11—42no—
335Q16×D11—42no—
336#66968—42no—
337C2×Dic44C2311yescharacteristic
338C2×Dic44C2311yescharacteristic
339C2×#4314C2311yescharacteristic
340C2×#4313C2311yescharacteristic
341C2×#4313C2311yescharacteristic
342C2×C8×D11C2311yescharacteristic
343C2×C8×D11C2311yescharacteristic
344#66950—21no—
345#66950—21no—
346#66950—21no—
347#66950—21no—
348#66950C2311yescharacteristic
349#66950C2311yescharacteristic
350#66949—21no—
351#66949—21no—
352#66949—21no—
353#66949—21no—
354#66949—21no—
355#66949—21no—
356#66949—21no—
357#66949—21no—
358#66949—21no—
359#66949—21no—
360#66948—21no—
361#66948C2311yescharacteristic
362#66946—21no—
363#66946—21no—
364#66946D411yescharacteristic
365#66945—21no—
366C4⋊C4×D11—21no—
367C4⋊C4×D11—21no—
368C4⋊C4×D11—21no—
369C4⋊C4×D11—21no—
370C4⋊C4×D11D411yescharacteristic
371C4⋊C4×D11C2311yescharacteristic
372C4⋊C4×D11C2311yescharacteristic
373C4⋊C4×D11C2311yescharacteristic
374#66943—21no—
375#66943—21no—
376#66942—21no—
377#66942—21no—
378#66942—21no—
379#66941—21no—
380#66941C2311yescharacteristic
381#66940—21no—
382#66940—21no—
383#66940C2311yescharacteristic
384#66938—21no—
385#66938—21no—
386#66938—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66937—21no—
391#66937—21no—
392#66937—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4D411yescharacteristic
398(C22⋊D11)⋊C4D411yescharacteristic
399C22⋊C4×D11—21no—
400C22⋊C4×D11—21no—
401C22⋊C4×D11—21no—
402C22⋊C4×D11—21no—
403C22⋊C4×D11—21no—
404C22⋊C4×D11—21no—
405C22⋊C4×D11D411yescharacteristic
406C22⋊C4×D11D411yescharacteristic
407#66931—21no—
408#66931—21no—
409#66931—21no—
410#66931—21no—
411#66931—21no—
412#66931—21no—
413#66931—21no—
414#66931—21no—
415#66931—21no—
416#66928—21no—
417#66928C2311yescharacteristic
418C4×D44—21no—
419C4×D44—21no—
420C4×D44C2311yescharacteristic
421#66925—21no—
422C42×D11—21no—
423C42×D11C2311yescharacteristic
424#66923—21no—
425#66922C2311yescharacteristic
426C4×Dic22—21no—
427C4×Dic22—21no—
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#106C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×#97C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66899C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466#66881C2311yescharacteristic
467#66881C2311yescharacteristic
468#66881C2311yescharacteristic
469#66880C2311yescharacteristic
470#66880C2311yescharacteristic
471#66880C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66879C2311yescharacteristic
477#66879C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479Dic11⋊C8C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66874C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66872C2311yescharacteristic
487#66872C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61573—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11C2×D411yescharacteristic
493C23×D11C2×D411yescharacteristic
494C11×#41—22no—
495C11×#41—41no—
496C2×Q8×C11—21no—
497C2×Q8×C11—21no—
498C2×Q8×C11—21no—
499C2×Q8×C11—22no—
500C2×Q8×C11—41no—
501C2×Q8×C11—41no—
502C2×Q8×C11—41no—
503C2×Q8×C11—41no—
504C2×Q8×C11—41no—
505C2×Q8×C11C2411yescharacteristic
506C2×Q8×C11C2411yescharacteristic
507C2×Q8×C11C2411yescharacteristic
508C2×Q8×C11C2411yescharacteristic
509C2×Q8×C11C2411yescharacteristic
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11C2×D411yescharacteristic
513C2×D4×C11C2411yescharacteristic
514C22×C4×C11—21no—
515C22×C4×C11—21no—
516C22×C4×C11—21no—
517C22×C4×C11—21no—
518C22×C4×C11C2411yescharacteristic
519C22×C4×C11C2411yescharacteristic
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11C2×D411yescharacteristic
526C2×C22⋊D11C2×D411yescharacteristic
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11C2×D411yescharacteristic
532C22×Dic11C2×D411yescharacteristic
533#4343—22no—
534#4343—41no—
535Q8×D11—22no—
536Q8×D11—22no—
537Q8×D11—22no—
538Q8×D11—22no—
539Q8×D11—41no—
540Q8×D11—41no—
541Q8×D11—41no—
542Q8×D11—41no—
543Q8×D11—41no—
544Q8×D11—41no—
545Q8×D11—41no—
546Q8×D11—41no—
547Q8×D11—44no—
548Q8×D11—44no—
549#4341—22no—
550#4341—41no—
551#4341—44no—
552D4×D11—24no—
553D4×D11—41no—
554D4×D11—41no—
555D4×D11—44no—
556D4×D11—44no—
557#4339—22no—
558#4339—41no—
559#4339—44no—
560C2×D44—21no—
561C2×D44—21no—
562C2×D44C2×D411yescharacteristic
563C2×D44C2411yescharacteristic
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11—21no—
568C2×C4×D11—21no—
569C2×C4×D11—21no—
570C2×C4×D11—21no—
571C2×C4×D11—21no—
572C2×C4×D11—21no—
573C2×C4×D11—21no—
574C2×C4×D11—21no—
575C2×C4×D11—41no—
576C2×C4×D11—41no—
577C2×C4×D11—41no—
578C2×C4×D11—41no—
579C2×C4×D11—44no—
580C2×C4×D11—44no—
581C2×C4×D11C2×D411yescharacteristic
582C2×C4×D11C2×D411yescharacteristic
583C2×C4×D11C2×D411yescharacteristic
584C2×C4×D11C2×D411yescharacteristic
585C2×C4×D11C2×D411yescharacteristic
586C2×C4×D11C2×D411yescharacteristic
587C2×C4×D11C2411yescharacteristic
588C2×C4×D11C2411yescharacteristic
589C2×C4×D11C2411yescharacteristic
590C2×Dic22—21no—
591C2×Dic22—22no—
592C2×Dic22—21no—
593C2×Dic22—21no—
594C2×Dic22—21no—
595C2×Dic22—21no—
596C2×Dic22—21no—
597C2×Dic22—21no—
598C2×Dic22—21no—
599C2×Dic22—21no—
600C2×Dic22—41no—
601C2×Dic22—44no—
602C2×Dic22C2411yescharacteristic
603C2×Dic22C2411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C11×Q16—22no—
606C11×Q16—22no—
607C11×Q16—22no—
608C11×Q16—41no—
609C11×Q16—41no—
610C11×Q16—41no—
611C11×SD16—41no—
612C11×SD16—41no—
613C11×SD16—41no—
614C11×M16—41no—
615C2×C8×C11—41no—
616C2×C8×C11C2411yescharacteristic
617C2×C8×C11C2411yescharacteristic
618C2×C8×C11C2411yescharacteristic
619C2×C8×C11C2411yescharacteristic
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4C2×D411yescharacteristic
628C11×C4⋊C4C2411yescharacteristic
629C11×C4⋊C4C2411yescharacteristic
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4C2×D411yescharacteristic
637C11×C22⋊C4C2×D411yescharacteristic
638C42×C11—21no—
639C42×C11—21no—
640C42×C11C2411yescharacteristic
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11C2×D411yescharacteristic
648C22⋊Dic11C2×D411yescharacteristic
649#4326—22no—
650#4326—22no—
651#4326—22no—
652#4326—22no—
653#4326—41no—
654#4326—41no—
655#4326—41no—
656#4326—41no—
657#4325—41no—
658#4325—41no—
659#4325—41no—
660#4324—41no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4C2×D411yescharacteristic
678(C2×D11)⋊C4C2×D411yescharacteristic
679(C2×D11)⋊C4C2×D411yescharacteristic
680(C2×D11)⋊C4C2×D411yescharacteristic
681C4⋊Dic11—21no—
682C4⋊Dic11—21no—
683C4⋊Dic11—21no—
684C4⋊Dic11—21no—
685C4⋊Dic11—21no—
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11C2×D411yescharacteristic
690C4⋊Dic11C2411yescharacteristic
691C4⋊Dic11C2411yescharacteristic
692C4⋊Dic11C2411yescharacteristic
693C4⋊Dic11C2411yescharacteristic
694Dic11⋊C4—21no—
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4C2×D411yescharacteristic
715Dic11⋊C4C2×D411yescharacteristic
716C4×Dic11—21no—
717C4×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11—21no—
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11C2×D411yescharacteristic
723C4×Dic11C2×D411yescharacteristic
724C4×Dic11C2411yescharacteristic
725#4318—41no—
726C2×C11⋊C8—41no—
727C2×C11⋊C8C2411yescharacteristic
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731Dic44—22no—
732Dic44—41no—
733#4314—41no—
734#4313—41no—
735#4313—41no—
736C8×D11—41no—
737C8×D11—41no—
738#3501—111no—
739C2×#548—111no—
740#3316—111no—
741#3316—111no—
742#3316—111no—
743#3316—111no—
744#3316—111no—
745#3316—111no—
746#3316—111no—
747#3316—111no—
748#3270—111no—
749#3270—111no—
750#3270—111no—
751#3270—111no—
752#3270—111no—
753#3270—111no—
754#3270—111no—
755#3270D1111yescharacteristic, complemented
756#3215—111no—
757#3215—111no—
758#3195—111no—
759#3195—111no—
760#3187—111no—
761#3187—111no—
762#3113—111no—
763#3113—111no—
764#3007—111no—
765#3007—111no—
766C2×#451—111no—
767C2×#451—111no—
768#2973—111no—
769C23×C11—21no—
770C23×C11C22×D411yescharacteristic
771C23×C11C22×D411yescharacteristic
772C22×D11—22no—
773C22×D11—21no—
774C22×D11—41no—
775C22×D11—41no—
776C22×D11—41no—
777C22×D11—41no—
778C22×D11—42no—
779C22×D11—42no—
780C22×D11—42no—
781C22×D11#13714yescomplemented
782C22×D11C22×D411yescharacteristic
783C22×D11C22×D411yescharacteristic
784C22×D11C22×D411yescharacteristic
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11—21no—
788Q8×C11—21no—
789Q8×C11—21no—
790Q8×C11—21no—
791Q8×C11—21no—
792Q8×C11—21no—
793Q8×C11—21no—
794Q8×C11—42no—
795Q8×C11—81no—
796Q8×C11—81no—
797Q8×C11H(5,𝔽2)12yes—
798D4×C11—22no—
799D4×C11—21no—
800D4×C11—21no—
801D4×C11—42no—
802D4×C11—42no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—42no—
815C2×C4×C11—42no—
816C2×C4×C11—81no—
817C2×C4×C11—81no—
818C2×C4×C11C22×D411yescharacteristic
819C2×C4×C11C22×D411yescharacteristic
820C2×C4×C11C22×D411yescharacteristic
821C2×C4×C11C22×D411yescharacteristic
822C2×C4×C11C2511yescharacteristic
823C22⋊D11—22no—
824C22⋊D11—22no—
825C22⋊D11—42no—
826C22⋊D11—42no—
827C22⋊D11—42no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—41no—
838C2×Dic11—41no—
839C2×Dic11—42no—
840C2×Dic11—42no—
841C2×Dic11—81no—
842C2×Dic11—81no—
843C2×Dic11C22×D411yescharacteristic
844C2×Dic11C22×D411yescharacteristic
845C2×Dic11C22×D411yescharacteristic
846C2×Dic11C22×D411yescharacteristic
847C2×Dic11C22×D411yescharacteristic
848D44—22no—
849D44—21no—
850D44—21no—
851D44—42no—
852D44—42no—
853C4×D11—24no—
854C4×D11—22no—
855C4×D11—21no—
856C4×D11—21no—
857C4×D11—21no—
858C4×D11—21no—
859C4×D11—21no—
860C4×D11—21no—
861C4×D11—41no—
862C4×D11—41no—
863C4×D11—41no—
864C4×D11—41no—
865C4×D11—41no—
866C4×D11—42no—
867C4×D11—42no—
868C4×D11—42no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—42no—
872C4×D11—81no—
873C4×D11—81no—
874C4×D11—81no—
875C4×D11—81no—
876Dic22—24no—
877Dic22—21no—
878Dic22—21no—
879Dic22—21no—
880Dic22—21no—
881Dic22—21no—
882Dic22—42no—
883Dic22—42no—
884Dic22—42no—
885Dic22—42no—
886Dic22—81no—
887Dic22—81no—
888Dic22—81no—
889Dic22—81no—
890Dic22H(5,𝔽2)12yes—
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C22×#41—111no—
900C23×Q8—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×#137—111no—
904C2×#137C2×D1111yescharacteristic, complemented
905C22×Q16—111no—
906C22×Q16—111no—
907C22×Q16—111no—
908C22×Q16C2×D1111yescharacteristic, complemented
909#554—111no—
910#554—111no—
911#554—111no—
912#554—111no—
913#554—221no—
914#554—221no—
915#554—221no—
916#554—221no—
917D4×Q8—111no—
918D4×Q8—111no—
919D4×Q8—111no—
920D4×Q8C2×D1111yescharacteristic, complemented
921#548—111no—
922#548—111no—
923#548—111no—
924#548—111no—
925#548—111no—
926#548—111no—
927#548—111no—
928#548—221no—
929#548—221no—
930#548—221no—
931#548—221no—
932#548C2×D1111yescharacteristic
933#544—221no—
934#543—221no—
935#543—221no—
936#533—111no—
937#533—111no—
938C2×#124—111no—
939C2×#124—221no—
940C2×C22⋊Q8—111no—
941C2×C22⋊Q8—111no—
942C2×C22⋊Q8—111no—
943C2×C22⋊Q8—111no—
944C2×C22⋊Q8—111no—
945C2×C22⋊Q8—221no—
946C2×#121—111no—
947C2×#121—221no—
948#518—221no—
949C2×C4×Q8—111no—
950C2×C4×D4—111no—
951C2×C4×D4—221no—
952#497—111no—
953#497—111no—
954#497—111no—
955#497C2×D1111yescharacteristic, complemented
956#489—111no—
957#489—111no—
958#489—111no—
959#489—111no—
960#483—111no—
961#483—111no—
962#483—111no—
963#483—111no—
964#483—111no—
965#483—111no—
966#483—111no—
967#483—111no—
968#481—111no—
969#481—111no—
970#481—111no—
971#481—111no—
972#475—111no—
973#475—111no—
974#475—111no—
975#475—111no—
976#470—111no—
977#470—111no—
978#470—111no—
979#470—111no—
980#470—111no—
981#470—111no—
982#470—111no—
983#470C2×D1111yescharacteristic, complemented
984#465—111no—
985#465—111no—
986#465—111no—
987#465—111no—
988#465—111no—
989#465—111no—
990#465—111no—
991#465C2×D1111yescharacteristic, complemented
992#464—111no—
993#464—111no—
994#464—111no—
995#464—111no—
996#464—111no—
997#464—111no—
998#464—111no—
999#464C2×D1111yescharacteristic, complemented
1000#462—111no—
1001#462—111no—
1002#462—111no—
1003#462C2×D1111yescharacteristic, complemented
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#452—111no—
1011#452C2×D1111yescharacteristic, complemented
1012#451—111no—
1013#451—111no—
1014#451—111no—
1015#451—111no—
1016#451—111no—
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451—111no—
1024#451—111no—
1025#451—111no—
1026#451—111no—
1027#451—111no—
1028#451—111no—
1029#451—111no—
1030#451C2×D1111yescharacteristic, complemented
1031#451C2×D1111yescharacteristic, complemented
1032#450—111no—
1033#450—111no—
1034#450—111no—
1035#450—111no—
1036#448—111no—
1037#448—111no—
1038#448—111no—
1039#448C2×D1111yescharacteristic, complemented
1040#441—111no—
1041#441—111no—
1042#441—111no—
1043#441—111no—
1044#441—111no—
1045#441—111no—
1046#441—111no—
1047#441C2×D1111yescharacteristic, complemented
1048#435—111no—
1049#435—111no—
1050#435—111no—
1051#435—111no—
1052#435—111no—
1053#435—111no—
1054#435—111no—
1055#435C2×D1111yescharacteristic, complemented
1056#432—111no—
1057#432—111no—
1058#417—111no—
1059#417—111no—
1060#417—111no—
1061#417—111no—
1062C2×#103—111no—
1063C2×#103—111no—
1064C2×#103—111no—
1065C2×#103—111no—
1066#407—111no—
1067#407—111no—
1068C2×C22⋊C8—111no—
1069C2×C22⋊C8—111no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11C2×#13712yes—
1079C22×C11C23×D411yescharacteristic
1080C2×D11—21no—
1081C2×D11—21no—
1082C2×D11—21no—
1083C2×D11—21no—
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—44no—
1088C2×D11—41no—
1089C2×D11—41no—
1090C2×D11—41no—
1091C2×D11—82no—
1092C2×D11—84no—
1093C2×D11C2×#13712yes—
1094C2×D11C2×#13712yes—
1095C4×C11—21no—
1096C4×C11—21no—
1097C4×C11—21no—
1098C4×C11—22no—
1099C4×C11—21no—
1100C4×C11—41no—
1101C4×C11—41no—
1102C4×C11—41no—
1103C4×C11—41no—
1104C4×C11—41no—
1105C4×C11—41no—
1106C4×C11C2×H(5,𝔽2)11yescharacteristic
1107C4×C11C2×H(5,𝔽2)11yescharacteristic
1108Dic11—21no—
1109Dic11—21no—
1110Dic11—22no—
1111Dic11—21no—
1112Dic11—21no—
1113Dic11—21no—
1114Dic11—41no—
1115Dic11—41no—
1116Dic11—41no—
1117Dic11—41no—
1118Dic11—41no—
1119Dic11—41no—
1120C2×#41—111no—
1121C2×#41—111no—
1122C2×#41—111no—
1123C2×#41—221no—
1124C2×#41—221no—
1125C2×#41—442no—
1126C2×#41—442no—
1127C2×#41C22×D1111yescharacteristic
1128C22×Q8—111no—
1129C22×Q8—111no—
1130C22×Q8—111no—
1131C22×Q8—111no—
1132C22×Q8—111no—
1133C22×Q8—111no—
1134C22×Q8—111no—
1135C22×Q8—221no—
1136C22×Q8—221no—
1137C22×Q8—221no—
1138C22×Q8—442no—
1139C22×Q8—442no—
1140C22×Q8C22×D1111yescharacteristic
1141C22×Q8C22×D1111yescharacteristic
1142C22×Q8C22×D1111yescharacteristic
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4—221no—
1146C22×D4—221no—
1147C23×C4—111no—
1148C23×C4—111no—
1149C23×C4—221no—
1150C23×C4—221no—
1151#137—42no—
1152#137—442no—
1153#137—442no—
1154#137—442no—
1155C2×Q16—42no—
1156C2×Q16—111no—
1157C2×Q16—111no—
1158C2×Q16—111no—
1159C2×Q16—111no—
1160C2×Q16—111no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—111no—
1165C2×Q16—111no—
1166C2×Q16—442no—
1167C2×Q16—442no—
1168C2×Q16—442no—
1169C2×Q16C22×D1111yescharacteristic
1170C2×Q16C22×D1111yescharacteristic
1171C2×Q16C22×D1111yescharacteristic
1172C2×Q16C22×D1111yescharacteristic
1173C2×Q16C22×D1111yescharacteristic
1174C2×Q16C22×D1111yescharacteristic
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16—111no—
1179C2×SD16—111no—
1180C2×SD16C22×D1111yescharacteristic
1181C2×SD16C22×D1111yescharacteristic
1182C2×SD16C22×D1111yescharacteristic
1183C2×M16—111no—
1184C2×M16—111no—
1185C2×M16—111no—
1186C2×M16C22×D1111yescharacteristic
1187C22×C8—111no—
1188C22×C8—111no—
1189C22×C8—111no—
1190C22×C8C22×D1111yescharacteristic
1191C4⋊Q8—21no—
1192C4⋊Q8—111no—
1193C4⋊Q8—111no—
1194C4⋊Q8—111no—
1195C4⋊Q8—221no—
1196C4⋊Q8—221no—
1197C4⋊Q8—221no—
1198C4⋊Q8C22×D1111yescharacteristic
1199#125—221no—
1200#125—221no—
1201#125—221no—
1202#125—221no—
1203#125—221no—
1204#125—221no—
1205#124—21no—
1206#124—111no—
1207#124—111no—
1208#124—111no—
1209#124—221no—
1210#124—221no—
1211#124—221no—
1212#124—221no—
1213#124—221no—
1214#124—221no—
1215#124—221no—
1216#124—221no—
1217#124—221no—
1218#124C22×D1111yescharacteristic
1219C22⋊Q8—21no—
1220C22⋊Q8—21no—
1221C22⋊Q8—21no—
1222C22⋊Q8—111no—
1223C22⋊Q8—111no—
1224C22⋊Q8—111no—
1225C22⋊Q8—111no—
1226C22⋊Q8—111no—
1227C22⋊Q8—111no—
1228C22⋊Q8—111no—
1229C22⋊Q8—111no—
1230C22⋊Q8—111no—
1231C22⋊Q8—111no—
1232C22⋊Q8—111no—
1233C22⋊Q8—111no—
1234C22⋊Q8—111no—
1235C22⋊Q8—221no—
1236C22⋊Q8—221no—
1237C22⋊Q8—221no—
1238C22⋊Q8—221no—
1239C22⋊Q8—221no—
1240C22⋊Q8—221no—
1241C22⋊Q8—221no—
1242C22⋊Q8—221no—
1243C22⋊Q8—221no—
1244C22⋊Q8—221no—
1245C22⋊Q8—221no—
1246C22⋊Q8—221no—
1247C22⋊Q8—221no—
1248C22⋊Q8—221no—
1249C22⋊Q8—221no—
1250C22⋊Q8—221no—
1251C22⋊Q8—221no—
1252C22⋊Q8—221no—
1253C22⋊Q8—221no—
1254C22⋊Q8—221no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8C22×D1111yescharacteristic
1269C22⋊Q8C22×D1111yescharacteristic
1270C22⋊Q8C22×D1111yescharacteristic
1271#121—21no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—221no—
1276#121—221no—
1277#121—221no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121C22×D1111yescharacteristic
1285C4×Q8—111no—
1286C4×Q8—111no—
1287C4×Q8—111no—
1288C4×Q8—111no—
1289C4×Q8—111no—
1290C4×Q8—111no—
1291C4×Q8—221no—
1292C4×Q8—221no—
1293C4×Q8—221no—
1294C4×Q8—221no—
1295C4×Q8C22×D1111yescharacteristic
1296C4×Q8C22×D1111yescharacteristic
1297C4×D4—21no—
1298C4×D4—21no—
1299C4×D4—111no—
1300C4×D4—111no—
1301C4×D4—111no—
1302C4×D4—111no—
1303C4×D4—111no—
1304C4×D4—111no—
1305C4×D4—111no—
1306C4×D4—221no—
1307C4×D4—221no—
1308C4×D4—221no—
1309C4×D4—221no—
1310C4×D4—221no—
1311C4×D4—221no—
1312C4×D4—221no—
1313C4×D4—221no—
1314C4×D4—221no—
1315C4×D4—221no—
1316C4×D4—221no—
1317C4×D4—221no—
1318C4×D4—221no—
1319C4×D4—221no—
1320C4×D4C22×D1111yescharacteristic
1321#117—221no—
1322#117—221no—
1323C2×C4⋊C4—111no—
1324C2×C4⋊C4—111no—
1325C2×C4⋊C4—111no—
1326C2×C4⋊C4—111no—
1327C2×C4⋊C4—111no—
1328C2×C4⋊C4—111no—
1329C2×C4⋊C4—221no—
1330C2×C4⋊C4—221no—
1331C2×C4⋊C4—221no—
1332C2×C4⋊C4—221no—
1333C2×C4⋊C4—221no—
1334C2×C4⋊C4—221no—
1335C2×C22⋊C4—111no—
1336C2×C22⋊C4—111no—
1337C2×C22⋊C4—221no—
1338C2×C22⋊C4—221no—
1339C2×C22⋊C4—221no—
1340C2×C22⋊C4—221no—
1341C2×C22⋊C4—221no—
1342C2×C22⋊C4—221no—
1343C2×C22⋊C4—221no—
1344C2×C22⋊C4—221no—
1345C2×C42—111no—
1346C2×C42—221no—
1347#106—111no—
1348#106—111no—
1349#106—111no—
1350#106—111no—
1351#106—111no—
1352#106—111no—
1353#106—111no—
1354#106C22×D1111yescharacteristic
1355C4⋊C8—111no—
1356C4⋊C8—111no—
1357C4⋊C8—111no—
1358C4⋊C8C22×D1111yescharacteristic
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103C22×D1111yescharacteristic
1379#103C22×D1111yescharacteristic
1380#103C22×D1111yescharacteristic
1381#103C22×D1111yescharacteristic
1382#103C22×D1111yescharacteristic
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102C22×D1111yescharacteristic
1391C22⋊C8—111no—
1392C22⋊C8—111no—
1393C22⋊C8—111no—
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8C22×D1111yescharacteristic
1402C22⋊C8C22×D1111yescharacteristic
1403#97—111no—
1404#97—111no—
1405#97—111no—
1406#97C22×D1111yescharacteristic
1407C2×C11—22no—
1408C2×C11—41no—
1409C2×C11—81no—
1410C2×C11#348411yescharacteristic
1411C2×C11C22×#13711yescharacteristic
1412C2×C11#358611yescharacteristic
1413D11—22no—
1414D11—22no—
1415D11—41no—
1416D11—81no—
1417C24—111no—
1418C24—111no—
1419C24—221no—
1420#41—22no—
1421#41—41no—
1422#41—222no—
1423#41—222no—
1424#41—222no—
1425#41—441no—
1426#41—444no—
1427#41—441no—
1428#41—441no—
1429#41—444no—
1430C2×Q8—21no—
1431C2×Q8—21no—
1432C2×Q8—21no—
1433C2×Q8—22no—
1434C2×Q8—41no—
1435C2×Q8—41no—
1436C2×Q8—41no—
1437C2×Q8—41no—
1438C2×Q8—41no—
1439C2×Q8—111no—
1440C2×Q8—111no—
1441C2×Q8—111no—
1442C2×Q8—221no—
1443C2×Q8—221no—
1444C2×Q8—221no—
1445C2×Q8—221no—
1446C2×Q8—221no—
1447C2×Q8—221no—
1448C2×Q8—221no—
1449C2×Q8—222no—
1450C2×Q8—222no—
1451C2×Q8—222no—
1452C2×Q8—221no—
1453C2×Q8—221no—
1454C2×Q8—222no—
1455C2×Q8—222no—
1456C2×Q8—441no—
1457C2×Q8—444no—
1458C2×Q8—441no—
1459C2×Q8—441no—
1460C2×Q8—441no—
1461C2×Q8—441no—
1462C2×Q8—444no—
1463C2×Q8—441no—
1464C2×Q8—441no—
1465C2×Q8—441no—
1466C2×Q8—441no—
1467C2×Q8—444no—
1468C2×Q8C23×D1111yescharacteristic
1469C2×Q8C23×D1111yescharacteristic
1470C2×Q8C23×D1111yescharacteristic
1471C2×Q8C23×D1111yescharacteristic
1472C2×Q8C23×D1111yescharacteristic
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—111no—
1476C2×D4—111no—
1477C2×D4—111no—
1478C2×D4—111no—
1479C2×D4—221no—
1480C2×D4—221no—
1481C2×D4—221no—
1482C2×D4—224no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—441no—
1488C2×D4—441no—
1489C2×D4—444no—
1490C2×D4—444no—
1491C2×D4D4×D1111yescharacteristic
1492C2×D4C23×D1111yescharacteristic
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—111no—
1498C22×C4—111no—
1499C22×C4—111no—
1500C22×C4—111no—
1501C22×C4—111no—
1502C22×C4—111no—
1503C22×C4—111no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—221no—
1509C22×C4—221no—
1510C22×C4—221no—
1511C22×C4—221no—
1512C22×C4—221no—
1513C22×C4—221no—
1514C22×C4—221no—
1515C22×C4—221no—
1516C22×C4—221no—
1517C22×C4—221no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—441no—
1524C22×C4—441no—
1525C22×C4—441no—
1526C22×C4—441no—
1527C22×C4—444no—
1528C22×C4—444no—
1529C22×C4C23×D1111yescharacteristic
1530C22×C4C23×D1111yescharacteristic
1531Q16—22no—
1532Q16—22no—
1533Q16—22no—
1534Q16—41no—
1535Q16—41no—
1536Q16—41no—
1537Q16—222no—
1538Q16—222no—
1539Q16—222no—
1540Q16—222no—
1541Q16—222no—
1542Q16—441no—
1543Q16—441no—
1544Q16—441no—
1545Q16—441no—
1546Q16—441no—
1547SD16—41no—
1548SD16—41no—
1549SD16—41no—
1550SD16—441no—
1551SD16—441no—
1552SD16—441no—
1553SD16—441no—
1554SD16—441no—
1555M16—41no—
1556M16—441no—
1557M16—441no—
1558M16—441no—
1559C2×C8—41no—
1560C2×C8—111no—
1561C2×C8—111no—
1562C2×C8—111no—
1563C2×C8—111no—
1564C2×C8—441no—
1565C2×C8—441no—
1566C2×C8—441no—
1567C2×C8C23×D1111yescharacteristic
1568C2×C8C23×D1111yescharacteristic
1569C2×C8C23×D1111yescharacteristic
1570C2×C8C23×D1111yescharacteristic
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—111no—
1579C4⋊C4—111no—
1580C4⋊C4—111no—
1581C4⋊C4—111no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4D4×D1111yescharacteristic
1614C4⋊C4C23×D1111yescharacteristic
1615C4⋊C4C23×D1111yescharacteristic
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—111no—
1623C22⋊C4—111no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4D4×D1111yescharacteristic
1651C22⋊C4D4×D1111yescharacteristic
1652C42—21no—
1653C42—21no—
1654C42—111no—
1655C42—111no—
1656C42—111no—
1657C42—221no—
1658C42—221no—
1659C42—221no—
1660C42—221no—
1661C42—221no—
1662C42—221no—
1663C42C23×D1111yescharacteristic
1664C11#6157311yescharacteristic, complemented, Sylow
1665C23—21no—
1666C23—111no—
1667C23—111no—
1668C23—114no—
1669C23—111no—
1670C23—222no—
1671C23—221no—
1672C23—441no—
1673C23—441no—
1674C23—441no—
1675C23—441no—
1676C23—442no—
1677C23—442no—
1678C23—442no—
1679C23C2×D4×D1111yescharacteristic
1680C23C2×D4×D1111yescharacteristic
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—42no—
1691Q8—81no—
1692Q8—81no—
1693Q8—112no—
1694Q8—224no—
1695Q8—221no—
1696Q8—221no—
1697Q8—221no—
1698Q8—221no—
1699Q8—221no—
1700Q8—442no—
1701Q8—442no—
1702Q8—442no—
1703Q8—442no—
1704Q8—881no—
1705Q8—881no—
1706Q8—881no—
1707Q8—881no—
1708Q8#6703712yes—
1709D4—22no—
1710D4—21no—
1711D4—21no—
1712D4—42no—
1713D4—42no—
1714D4—222no—
1715D4—222no—
1716D4—222no—
1717D4—221no—
1718D4—221no—
1719D4—442no—
1720D4—442no—
1721D4—442no—
1722D4—442no—
1723D4—442no—
1724D4—442no—
1725D4—442no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—42no—
1738C2×C4—42no—
1739C2×C4—81no—
1740C2×C4—81no—
1741C2×C4—111no—
1742C2×C4—111no—
1743C2×C4—111no—
1744C2×C4—111no—
1745C2×C4—111no—
1746C2×C4—222no—
1747C2×C4—224no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—221no—
1751C2×C4—221no—
1752C2×C4—221no—
1753C2×C4—221no—
1754C2×C4—221no—
1755C2×C4—221no—
1756C2×C4—221no—
1757C2×C4—221no—
1758C2×C4—221no—
1759C2×C4—221no—
1760C2×C4—221no—
1761C2×C4—441no—
1762C2×C4—441no—
1763C2×C4—441no—
1764C2×C4—441no—
1765C2×C4—441no—
1766C2×C4—442no—
1767C2×C4—442no—
1768C2×C4—442no—
1769C2×C4—442no—
1770C2×C4—442no—
1771C2×C4—442no—
1772C2×C4—441no—
1773C2×C4—441no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—881no—
1777C2×C4—881no—
1778C2×C4—881no—
1779C2×C4—881no—
1780C2×C4—881no—
1781C2×C4—881no—
1782C2×C4C2×D4×D1111yescharacteristic
1783C2×C4C2×D4×D1111yescharacteristic
1784C2×C4C2×D4×D1111yescharacteristic
1785C2×C4C2×D4×D1111yescharacteristic
1786C2×C4C24×D1111yescharacteristic
1787C8—21no—
1788C8—21no—
1789C8—21no—
1790C8—21no—
1791C8—221no—
1792C8—221no—
1793C8—221no—
1794C8—221no—
1795C22—21no—
1796C22—21no—
1797C22—21no—
1798C22—21no—
1799C22—21no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—112no—
1804C22—112no—
1805C22—221no—
1806C22—221no—
1807C22—221no—
1808C22—221no—
1809C22—221no—
1810C22—221no—
1811C22—221no—
1812C22—444no—
1813C22—441no—
1814C22—441no—
1815C22—441no—
1816C22—882no—
1817C22—884no—
1818C22D11×#13712yes—
1819C22C22×D4×D1111yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—22no—
1824C4—21no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—221no—
1832C4—221no—
1833C4—221no—
1834C4—221no—
1835C4—222no—
1836C4—221no—
1837C4—441no—
1838C4—441no—
1839C4—441no—
1840C4—441no—
1841C4—441no—
1842C4—441no—
1843C4C2×#6703711yescharacteristic
1844C4D11×H(5,𝔽2)11yescharacteristic
1845C2—22no—
1846C2—41no—
1847C2—81no—
1848C2—222no—
1849C2—222no—
1850C2—441no—
1851C2—881no—
1852C2#1308224411yescharacteristic
1853C2C2×D11×#13711yescharacteristic
1854C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3270C2
socleC22×C11C23×D4
prime radicalD11×#548C2
hypercenter#3270D11
hypocenterC11#61573
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3270

Complements

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

NH ≅ G/Ntype
1. #13082411C2semidirect
3. #13080734C2semidirect
4. #13080733C2semidirect
5. #13080732C2semidirect
6. #13080731C2semidirect
7. #13080729C2semidirect
8. #13080727C2semidirect
9. #13080722C2semidirect
10. #13080720C2semidirect
11. #13080192C2semidirect
12. #13080189C2semidirect
13. #13080187C2semidirect
14. #13080186C2semidirect
15. #13080185C2semidirect
16. #13080180C2semidirect
17. #13080179C2semidirect
18. #13079617C2semidirect
19. #13079614C2semidirect
20. #13079438C2semidirect
21. #13079436C2semidirect
22. #13079371C2semidirect
23. #13079368C2semidirect
24. #13078745C2semidirect
25. #13078744C2semidirect
26. #13077873C2semidirect
27. #13077872C2semidirect
28. C2×#10622799C2semidirect
29. D11×#451C2semidirect
30. #13077641C2semidirect
31. C11×#3270C2semidirect
34. C2×C11×#137C22semidirect
35. C22×C11×Q16C22semidirect
36. D4×Q8×C11C22semidirect
40. Q8×C22⋊D11C22semidirect
41. Q8×C22⋊D11C22semidirect
44. C22×#4326C22semidirect
45. C2×#66995C22semidirect
46. C2×#66971C22semidirect
47. C2×Q16×D11C22semidirect
48. C2×Q16×D11C22semidirect
49. C2×#66968C22semidirect
53. #10623258C22semidirect
60. #10623166C22semidirect
61. #10623166C22semidirect
74. #10623110C22semidirect
83. #10623074C22semidirect
85. C11×#497C22semidirect
86. C11×#470C22semidirect
87. C11×#465C22semidirect
88. C11×#464C22semidirect
89. C11×#462C22semidirect
90. C11×#452C22semidirect
91. C11×#451C22semidirect
92. C11×#451C22semidirect
93. C11×#448C22semidirect
94. C11×#441C22semidirect
95. C11×#435C22semidirect
96. #10622852C22semidirect
97. #10622845C22semidirect
98. #10622841C22semidirect
99. #10622841C22semidirect
100. #10622840C22semidirect
101. C2×#66899C22semidirect
102. #10622803C22semidirect
103. #10622802C22semidirect
104. #10622802C22semidirect
105. #10622800C22semidirect
106. #10622800C22semidirect
113. #10622799C22semidirect
114. #10622799C22semidirect
115. #10622799C22semidirect
116. #10622799C22semidirect
117. #10622799C22semidirect
118. #10622798C22semidirect
119. #10622798C22semidirect
120. #10622797C22semidirect
121. #10622797C22semidirect
122. #10622795C22semidirect
123. #10622786C22semidirect
124. #10622786C22semidirect
125. #10622784C22semidirect
126. #10622784C22semidirect
127. #10622783C22semidirect
131. #10622780C22semidirect
132. #10622779C22semidirect
133. #10622779C22semidirect
134. #10622750C22semidirect
135. #10622746C22semidirect
136. #10622740C22semidirect
138. #10622727C22semidirect
139. #10622724C22semidirect
141. C2×#66880C22semidirect
142. #10622703C22semidirect
143. #10622699C22semidirect
144. #10622668C22semidirect
145. #10622667C22semidirect
146. #10622665C22semidirect
147. #10622665C22semidirect
148. #10622663C22semidirect
149. #10622661C22semidirect
150. #10622660C22semidirect
151. #10622656C22semidirect
152. #10622654C22semidirect
153. #10622647C22semidirect
154. #10622643C22semidirect
155. #10622643C22semidirect
156. #10622641C22semidirect
157. #10622633C22semidirect
158. #10622624C22semidirect
159. #10622476C22semidirect
161. #10622475C22semidirect
162. #10622467C22semidirect
163. #10622464C22semidirect
164. #10622458C22semidirect
165. #10622449C22semidirect
167. #10622429C22semidirect
168. #10622429C22semidirect
171. #10622421C22semidirect
172. #10622420C22semidirect
173. #10622420C22semidirect
174. #10622419C22semidirect
178. #10622418C22semidirect
179. #10622416C22semidirect
180. D11×#103C22semidirect
181. D11×#103C22semidirect
182. #10622408C22semidirect
183. #10622406C22semidirect
184. #10622404C22semidirect
185. #10622402C22semidirect
186. #10622402C22semidirect
187. #10622390C22semidirect
189. #10622384C22semidirect
190. #10622378C22semidirect
191. #10622352C22semidirect
192. #10622348C22semidirect
193. #10622346C22semidirect
194. #10622343C22semidirect
195. #10622341C22semidirect
198. #10622334C22semidirect
199. #10622329C22semidirect
200. #10622327C22semidirect
201. #10622319C22semidirect
755. #3270D11semidirect
781. C22×D11#137semidirect
904. C2×#137C2×D11semidirect
908. C22×Q16C2×D11semidirect
920. D4×Q8C2×D11semidirect
955. #497C2×D11semidirect
983. #470C2×D11semidirect
991. #465C2×D11semidirect
999. #464C2×D11semidirect
1003. #462C2×D11semidirect
1011. #452C2×D11semidirect
1030. #451C2×D11semidirect
1031. #451C2×D11semidirect
1039. #448C2×D11semidirect
1047. #441C2×D11semidirect
1055. #435C2×D11semidirect
1664. C11#61573semidirect

Maximal subgroups

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

subgroupindex
#130824112
D11×#5482
#130807342
#130807332
#130807322
#130807312
#130807292
#130807272
#130807222
#130807202
#130801922
#130801892
#130801872
#130801862
#130801852
#130801802
#130801792
#130796172
#130796142
#130794382
#130794362
#130793712
#130793682
#130787452
#130787442
#130778732
#130778722
C2×#106227992
D11×#4512
#130776412
C11×#32702
#6157311