Finite Group Databasebeta

← #15638641

Subgroups — #15638641

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#13082413C211yesmaximal, characteristic, complemented
2D11×#548C211yesmaximal, characteristic
3#13080730C211yesmaximal, characteristic, complemented
4#13080728C211yesmaximal, characteristic, complemented
5#13080726C211yesmaximal, characteristic, complemented
6#13080725C211yesmaximal, characteristic, complemented
7#13080724C211yesmaximal, characteristic, complemented
8#13080723C211yesmaximal, characteristic, complemented
9#13080721C211yesmaximal, characteristic, complemented
10#13080193C211yesmaximal, characteristic, complemented
11#13080191C211yesmaximal, characteristic, complemented
12#13080190C211yesmaximal, characteristic, complemented
13#13080188C211yesmaximal, characteristic, complemented
14#13080184C211yesmaximal, characteristic, complemented
15#13080183C211yesmaximal, characteristic, complemented
16#13080182C211yesmaximal, characteristic, complemented
17#13080181C211yesmaximal, characteristic, complemented
18#13079620C211yesmaximal, characteristic, complemented
19#13079617C211yesmaximal, characteristic, complemented
20#13079439C211yesmaximal, characteristic, complemented
21#13079436C211yesmaximal, characteristic, complemented
22#13079375C211yesmaximal, characteristic, complemented
23#13079368C211yesmaximal, characteristic, complemented
24#13078748C211yesmaximal, characteristic, complemented
25#13078744C211yesmaximal, characteristic, complemented
26#13077877C211yesmaximal, characteristic, complemented
27#13077873C211yesmaximal, characteristic, complemented
28C2×#10622421C211yesmaximal, characteristic, complemented
29D11×#451C211yesmaximal, characteristic, complemented
30#13077641C211yesmaximal, characteristic, complemented
31C11×#3316C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×Q8×D11C2211yescharacteristic
34C11×#554C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic
36#10623362C2211yescharacteristic
37C2×#67004C2211yescharacteristic, complemented
38#10623348C2211yescharacteristic
39C22×#4326C2211yescharacteristic, complemented
40C2×#66971C2211yescharacteristic, complemented
41C2×Q16×D11C2211yescharacteristic, complemented
42C2×Q16×D11C2211yescharacteristic, complemented
43C2×#66968C2211yescharacteristic, complemented
44C2×#66962C2211yescharacteristic, complemented
45C22×Dic44C2211yescharacteristic, complemented
46#10623261C2211yescharacteristic, complemented
47#10623259C2211yescharacteristic
48#10623221—21no—
49#10623220—21no—
50#10623208—21no—
51#10623208C2211yescharacteristic
52D11×#124—21no—
53D11×#124C2211yescharacteristic
54#10623166—21no—
55#10623166—21no—
56#10623165—21no—
57#10623165—21no—
58#10623164—21no—
59#10623164C2211yescharacteristic
60#10623163C2211yescharacteristic, complemented
61#10623163C2211yescharacteristic, complemented
62D11×C22⋊Q8—21no—
63D11×C22⋊Q8C2211yescharacteristic
64D11×C22⋊Q8C2211yescharacteristic
65D11×C22⋊Q8C2211yescharacteristic
66D11×#121—21no—
67D11×#121C2211yescharacteristic
68#10623129—21no—
69#10623129C2211yescharacteristic
70#10623109C2211yescharacteristic
71#10623107C2211yescharacteristic
72Q8×D44C2211yescharacteristic, complemented
73C4×Q8×D11C2211yescharacteristic
74#10623083—21no—
75#10623083C2211yescharacteristic
76#10623076—21no—
77C4×D4×D11—21no—
78C4×D4×D11C2211yescharacteristic
79#10623074—21no—
80D4×Dic22C2211yescharacteristic, complemented
81#10623042C2211yescharacteristic, complemented
82#10623042C2211yescharacteristic, complemented
83C2×#66950C2211yescharacteristic
84C2×#66950C2211yescharacteristic
85C11×#489C2211yescharacteristic, complemented
86C11×#483C2211yescharacteristic, complemented
87C11×#481C2211yescharacteristic, complemented
88C11×#475C2211yescharacteristic, complemented
89C11×#470C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#464C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic, complemented
93C11×#451C2211yescharacteristic, complemented
94C11×#441C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic, complemented
96C11×#417C2211yescharacteristic, complemented
97C2×C11×#103C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622841C2211yescharacteristic, complemented
100#10622803C2211yescharacteristic, complemented
101#10622799C2211yescharacteristic
102#10622799C2211yescharacteristic
103#10622799C2211yescharacteristic, complemented
104#10622795C2211yescharacteristic, complemented
105#10622783C2211yescharacteristic, complemented
106#10622782C2211yescharacteristic
107#10622780C2211yescharacteristic, complemented
108#10622750C2211yescharacteristic, complemented
109#10622740C2211yescharacteristic, complemented
110#10622739C2211yescharacteristic
111#10622727C2211yescharacteristic, complemented
112#10622724C2211yescharacteristic, complemented
113C2×(C2×D11)⋊C8C2211yescharacteristic
114#10622707C2211yescharacteristic, complemented
115#10622702C2211yescharacteristic, complemented
116#10622673C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622665C2211yescharacteristic, complemented
120#10622663C2211yescharacteristic, complemented
121#10622663C2211yescharacteristic, complemented
122#10622661C2211yescharacteristic, complemented
123#10622660C2211yescharacteristic, complemented
124#10622654C2211yescharacteristic, complemented
125#10622653C2211yescharacteristic, complemented
126#10622644C2211yescharacteristic, complemented
127#10622643C2211yescharacteristic, complemented
128#10622643C2211yescharacteristic, complemented
129#10622641C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622584C2211yescharacteristic, complemented
132C2×#66874C2211yescharacteristic, complemented
133#10622581C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622481C2211yescharacteristic, complemented
136#10622481C2211yescharacteristic, complemented
137#10622477C2211yescharacteristic, complemented
138#10622477C2211yescharacteristic, complemented
139#10622476C2211yescharacteristic, complemented
140#10622475C2211yescharacteristic
141#10622475C2211yescharacteristic
142#10622475C2211yescharacteristic
143#10622475C2211yescharacteristic, complemented
144#10622467C2211yescharacteristic, complemented
145#10622466C2211yescharacteristic, complemented
146#10622466C2211yescharacteristic, complemented
147#10622462C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622449C2211yescharacteristic, complemented
150#10622448C2211yescharacteristic
151#10622429C2211yescharacteristic, complemented
152#10622429C2211yescharacteristic, complemented
153#10622423C2211yescharacteristic, complemented
154#10622423C2211yescharacteristic, complemented
155#10622421C2211yescharacteristic
156#10622421C2211yescharacteristic
157#10622421C2211yescharacteristic
158#10622421C2211yescharacteristic
159#10622421C2211yescharacteristic
160#10622421C2211yescharacteristic
161#10622421C2211yescharacteristic, complemented
162#10622421C2211yescharacteristic, complemented
163#10622421C2211yescharacteristic, complemented
164#10622421C2211yescharacteristic, complemented
165#10622421C2211yescharacteristic, complemented
166#10622419C2211yescharacteristic, complemented
167#10622418C2211yescharacteristic
168#10622418C2211yescharacteristic, complemented
169#10622416C2211yescharacteristic, complemented
170D11×#103C2211yescharacteristic, complemented
171D11×#103C2211yescharacteristic, complemented
172#10622411C2211yescharacteristic, complemented
173#10622411C2211yescharacteristic, complemented
174#10622408C2211yescharacteristic, complemented
175#10622406C2211yescharacteristic, complemented
176#10622404C2211yescharacteristic, complemented
177#10622402C2211yescharacteristic, complemented
178#10622402C2211yescharacteristic, complemented
179#10622396C2211yescharacteristic, complemented
180#10622396C2211yescharacteristic, complemented
181#10622391C2211yescharacteristic, complemented
182#10622391C2211yescharacteristic, complemented
183#10622390C2211yescharacteristic, complemented
184#10622389C2211yescharacteristic
185#10622389C2211yescharacteristic
186#10622389C2211yescharacteristic
187#10622384C2211yescharacteristic, complemented
188#10622380C2211yescharacteristic, complemented
189#10622380C2211yescharacteristic, complemented
190#10622378C2211yescharacteristic, complemented
191#10622352C2211yescharacteristic, complemented
192#10622352C2211yescharacteristic, complemented
193#10622351C2211yescharacteristic, complemented
194#10622346C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622341C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic
198D11×C22⋊C8C2211yescharacteristic
199#10622329C2211yescharacteristic, complemented
200#10622328C2211yescharacteristic, complemented
201#10622319C2211yescharacteristic, complemented
202#10622318C2211yescharacteristic
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#41×D11—42no—
206#41×D11—42no—
207C2×#4343C2311yescharacteristic
208C2×Q8×D11—21no—
209C2×Q8×D11—21no—
210C2×Q8×D11—42no—
211C2×Q8×D11—42no—
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×Q8×D11C2311yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216C2×Q8×D11C2311yescharacteristic
217C2×Q8×D11C2311yescharacteristic
218C2×#4341—21no—
219C2×#4341C2311yescharacteristic
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11D411yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×#4339—21no—
225C2×#4339C2311yescharacteristic
226C22×C4×D11—21no—
227C22×C4×D11—21no—
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×Dic22—21no—
231C22×Dic22C2311yescharacteristic
232C22×Dic22C2311yescharacteristic
233C22×Dic22C2311yescharacteristic
234C2×C11×Q16C2311yescharacteristic
235C2×C11×Q16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×M16C2311yescharacteristic
238C22×C8×C11C2311yescharacteristic
239C11×C4⋊Q8C2311yescharacteristic
240C11×#125—21no—
241C11×#124—21no—
242C11×#124C2311yescharacteristic
243C11×C22⋊Q8—21no—
244C11×C22⋊Q8—21no—
245C11×C22⋊Q8—21no—
246C11×C22⋊Q8C2311yescharacteristic
247C11×C22⋊Q8C2311yescharacteristic
248C11×C22⋊Q8C2311yescharacteristic
249C11×#121—21no—
250C11×#121C2311yescharacteristic
251C4×Q8×C11C2311yescharacteristic
252C4×Q8×C11C2311yescharacteristic
253C4×D4×C11—21no—
254C4×D4×C11—21no—
255C4×D4×C11C2311yescharacteristic
256C2×C11×C4⋊C4C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258#67004—42no—
259#67000—21no—
260#67000C2311yescharacteristic
261#66999—21no—
262#66999—21no—
263#66999—21no—
264#66999—21no—
265#66999C2311yescharacteristic
266#66999C2311yescharacteristic
267Q8×Dic11—21no—
268Q8×Dic11C2311yescharacteristic
269#66997C2311yescharacteristic
270C2×#4326—42no—
271C2×#4326C2311yescharacteristic
272C2×#4326C2311yescharacteristic
273C2×#4326C2311yescharacteristic
274C2×#4326C2311yescharacteristic
275C2×#4326C2311yescharacteristic
276C2×#4326C2311yescharacteristic
277C2×#4326C2311yescharacteristic
278C2×#4326C2311yescharacteristic
279C2×#4325C2311yescharacteristic
280#66992—21no—
281#66992—21no—
282#66992—21no—
283#66991—21no—
284#66991C2311yescharacteristic
285#66989—21no—
286#66989C2311yescharacteristic
287D4×Dic11—21no—
288D4×Dic11—21no—
289D4×Dic11D411yescharacteristic
290C2×#4324C2311yescharacteristic
291C2×#4324C2311yescharacteristic
292C2×#4324C2311yescharacteristic
293#66983—21no—
294#66983C2311yescharacteristic
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11C2311yescharacteristic
300C4×C22⋊D11C2311yescharacteristic
301C2×(C2×D11)⋊C4—21no—
302C2×(C2×D11)⋊C4—21no—
303C2×C4⋊Dic11—21no—
304C2×C4⋊Dic11—21no—
305#66977—21no—
306#66977—21no—
307#66977—21no—
308#66977C2311yescharacteristic
309#66977C2311yescharacteristic
310#66977C2311yescharacteristic
311C2×#4318C2311yescharacteristic
312C22×C11⋊C8C2311yescharacteristic
313#66971—42no—
314Q16×D11—42no—
315Q16×D11—42no—
316#66968—42no—
317#66962—42no—
318C2×Dic44—42no—
319C2×Dic44C2311yescharacteristic
320C2×Dic44C2311yescharacteristic
321C2×Dic44C2311yescharacteristic
322C2×Dic44C2311yescharacteristic
323C2×Dic44C2311yescharacteristic
324C2×Dic44C2311yescharacteristic
325C2×#4314C2311yescharacteristic
326C2×#4314C2311yescharacteristic
327C2×#4314C2311yescharacteristic
328C2×#4313C2311yescharacteristic
329C2×#4313C2311yescharacteristic
330C2×C8×D11C2311yescharacteristic
331C2×C8×D11C2311yescharacteristic
332#66950—21no—
333#66950—21no—
334#66950—21no—
335#66950—21no—
336#66950—21no—
337#66950—21no—
338#66950—21no—
339#66950C2311yescharacteristic
340#66950C2311yescharacteristic
341#66950C2311yescharacteristic
342#66950C2311yescharacteristic
343#66950C2311yescharacteristic
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66949—21no—
348#66949—21no—
349#66949—21no—
350#66949—21no—
351#66949—21no—
352#66949—21no—
353#66949—21no—
354#66949—21no—
355#66949—21no—
356#66949—21no—
357#66948—21no—
358#66948C2311yescharacteristic
359#66946—21no—
360#66946—21no—
361#66946D411yescharacteristic
362#66945—21no—
363C4⋊C4×D11—21no—
364C4⋊C4×D11—21no—
365C4⋊C4×D11—21no—
366C4⋊C4×D11—21no—
367C4⋊C4×D11D411yescharacteristic
368C4⋊C4×D11C2311yescharacteristic
369C4⋊C4×D11C2311yescharacteristic
370C4⋊C4×D11C2311yescharacteristic
371#66943—21no—
372#66943—21no—
373#66942—21no—
374#66942—21no—
375#66942—21no—
376#66941—21no—
377#66941—21no—
378#66941—21no—
379#66941C2311yescharacteristic
380#66940—21no—
381#66940C2311yescharacteristic
382#66940C2311yescharacteristic
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#66922—21no—
425#66922C2311yescharacteristic
426C4×Dic22—21no—
427C4×Dic22—21no—
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#106C2311yescharacteristic
431C11×#106C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#103C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462#66881C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66879C2311yescharacteristic
469#66879C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471Dic11⋊C8C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66874C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
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—22no—
499C2×Q8×C11—41no—
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11C2×D411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11C2411yescharacteristic
512C22×C4×C11C2411yescharacteristic
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11C2×D411yescharacteristic
519C2×C22⋊D11C2×D411yescharacteristic
520C22×Dic11—21no—
521C22×Dic11—21no—
522C22×Dic11—21no—
523C22×Dic11—21no—
524C22×Dic11C2×D411yescharacteristic
525C22×Dic11C2×D411yescharacteristic
526#4343—22no—
527#4343—41no—
528Q8×D11—22no—
529Q8×D11—22no—
530Q8×D11—22no—
531Q8×D11—22no—
532Q8×D11—41no—
533Q8×D11—41no—
534Q8×D11—41no—
535Q8×D11—41no—
536Q8×D11—41no—
537Q8×D11—41no—
538Q8×D11—41no—
539Q8×D11—41no—
540Q8×D11—44no—
541Q8×D11—44no—
542#4341—22no—
543#4341—41no—
544#4341—44no—
545D4×D11—24no—
546D4×D11—41no—
547D4×D11—41no—
548D4×D11—44no—
549D4×D11—44no—
550#4339—22no—
551#4339—41no—
552#4339—44no—
553C2×D44—21no—
554C2×D44—21no—
555C2×D44C2×D411yescharacteristic
556C2×D44C2411yescharacteristic
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11—21no—
568C2×C4×D11—41no—
569C2×C4×D11—41no—
570C2×C4×D11—41no—
571C2×C4×D11—41no—
572C2×C4×D11—44no—
573C2×C4×D11—44no—
574C2×C4×D11C2×D411yescharacteristic
575C2×C4×D11C2×D411yescharacteristic
576C2×C4×D11C2×D411yescharacteristic
577C2×C4×D11C2×D411yescharacteristic
578C2×C4×D11C2×D411yescharacteristic
579C2×C4×D11C2×D411yescharacteristic
580C2×C4×D11C2411yescharacteristic
581C2×C4×D11C2411yescharacteristic
582C2×C4×D11C2411yescharacteristic
583C2×Dic22—21no—
584C2×Dic22—22no—
585C2×Dic22—21no—
586C2×Dic22—21no—
587C2×Dic22—21no—
588C2×Dic22—21no—
589C2×Dic22—21no—
590C2×Dic22—21no—
591C2×Dic22—21no—
592C2×Dic22—21no—
593C2×Dic22—21no—
594C2×Dic22—41no—
595C2×Dic22—41no—
596C2×Dic22—41no—
597C2×Dic22—41no—
598C2×Dic22—41no—
599C2×Dic22—44no—
600C2×Dic22C2411yescharacteristic
601C2×Dic22C2411yescharacteristic
602C2×Dic22C2411yescharacteristic
603C2×Dic22C2411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C11×Q16—22no—
606C11×Q16—41no—
607C11×SD16—41no—
608C11×M16—41no—
609C2×C8×C11—41no—
610C2×C8×C11C2411yescharacteristic
611C2×C8×C11C2411yescharacteristic
612C2×C8×C11C2411yescharacteristic
613C2×C8×C11C2411yescharacteristic
614C11×C4⋊C4—21no—
615C11×C4⋊C4—21no—
616C11×C4⋊C4—21no—
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4C2×D411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
626C11×C4⋊C4C2411yescharacteristic
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4C2×D411yescharacteristic
634C11×C22⋊C4C2×D411yescharacteristic
635C42×C11—21no—
636C42×C11—21no—
637C42×C11C2411yescharacteristic
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11C2×D411yescharacteristic
645C22⋊Dic11C2×D411yescharacteristic
646#4326—22no—
647#4326—22no—
648#4326—22no—
649#4326—22no—
650#4326—41no—
651#4326—41no—
652#4326—41no—
653#4326—41no—
654#4325—41no—
655#4324—41no—
656#4324—41no—
657#4324—41no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
675(C2×D11)⋊C4C2×D411yescharacteristic
676(C2×D11)⋊C4C2×D411yescharacteristic
677(C2×D11)⋊C4C2×D411yescharacteristic
678C4⋊Dic11—21no—
679C4⋊Dic11—21no—
680C4⋊Dic11—21no—
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
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
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⋊C4C2×D411yescharacteristic
709Dic11⋊C4C2×D411yescharacteristic
710C4×Dic11—21no—
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11C2×D411yescharacteristic
717C4×Dic11C2×D411yescharacteristic
718C4×Dic11C2411yescharacteristic
719#4318—41no—
720C2×C11⋊C8—41no—
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725Dic44—22no—
726Dic44—22no—
727Dic44—22no—
728Dic44—41no—
729Dic44—41no—
730Dic44—41no—
731#4314—41no—
732#4314—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#3316D1111yescharacteristic, complemented
748#3270—111no—
749#3270—111no—
750#3270—111no—
751#3270—111no—
752#3270—111no—
753#3270—111no—
754#3270—111no—
755#3270—111no—
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—42no—
791Q8×C11—81no—
792Q8×C11H(5,𝔽2)12yes—
793D4×C11—22no—
794D4×C11—21no—
795D4×C11—21no—
796D4×C11—42no—
797D4×C11—42no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
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—42no—
810C2×C4×C11—42no—
811C2×C4×C11—81no—
812C2×C4×C11—81no—
813C2×C4×C11C22×D411yescharacteristic
814C2×C4×C11C22×D411yescharacteristic
815C2×C4×C11C22×D411yescharacteristic
816C2×C4×C11C22×D411yescharacteristic
817C2×C4×C11C2511yescharacteristic
818C22⋊D11—22no—
819C22⋊D11—22no—
820C22⋊D11—42no—
821C22⋊D11—42no—
822C22⋊D11—42no—
823C22⋊D11—42no—
824C22⋊D11—42no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—41no—
833C2×Dic11—41no—
834C2×Dic11—42no—
835C2×Dic11—42no—
836C2×Dic11—81no—
837C2×Dic11—81no—
838C2×Dic11C22×D411yescharacteristic
839C2×Dic11C22×D411yescharacteristic
840C2×Dic11C22×D411yescharacteristic
841C2×Dic11C22×D411yescharacteristic
842C2×Dic11C22×D411yescharacteristic
843D44—22no—
844D44—21no—
845D44—21no—
846D44—42no—
847D44—42no—
848C4×D11—24no—
849C4×D11—22no—
850C4×D11—21no—
851C4×D11—21no—
852C4×D11—21no—
853C4×D11—21no—
854C4×D11—21no—
855C4×D11—21no—
856C4×D11—41no—
857C4×D11—41no—
858C4×D11—41no—
859C4×D11—41no—
860C4×D11—41no—
861C4×D11—42no—
862C4×D11—42no—
863C4×D11—42no—
864C4×D11—42no—
865C4×D11—42no—
866C4×D11—42no—
867C4×D11—81no—
868C4×D11—81no—
869C4×D11—81no—
870C4×D11—81no—
871Dic22—24no—
872Dic22—21no—
873Dic22—21no—
874Dic22—21no—
875Dic22—21no—
876Dic22—21no—
877Dic22—21no—
878Dic22—21no—
879Dic22—21no—
880Dic22—21no—
881Dic22—42no—
882Dic22—42no—
883Dic22—42no—
884Dic22—42no—
885Dic22—81no—
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×#137—111no—
905C22×Q16—111no—
906C22×Q16—111no—
907C22×Q16—111no—
908C22×Q16—111no—
909#554—111no—
910#554—111no—
911#554—111no—
912#554—221no—
913#554—221no—
914#554—221no—
915#554—221no—
916#554C2×D1111yescharacteristic, complemented
917D4×Q8—111no—
918D4×Q8—111no—
919D4×Q8—111no—
920D4×Q8—111no—
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#497—111no—
956#489—111no—
957#489—111no—
958#489—111no—
959#489C2×D1111yescharacteristic, complemented
960#483—111no—
961#483—111no—
962#483—111no—
963#483—111no—
964#483—111no—
965#483—111no—
966#483—111no—
967#483C2×D1111yescharacteristic, complemented
968#481—111no—
969#481—111no—
970#481—111no—
971#481C2×D1111yescharacteristic, complemented
972#475—111no—
973#475—111no—
974#475—111no—
975#475C2×D1111yescharacteristic, complemented
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#462—111no—
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#451—111no—
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#448—111no—
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#417C2×D1111yescharacteristic, complemented
1062C2×#103—111no—
1063C2×#103—111no—
1064C2×#103—111no—
1065C2×#103C2×D1111yescharacteristic, complemented
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—111no—
1136C22×Q8—111no—
1137C22×Q8—221no—
1138C22×Q8—221no—
1139C22×Q8—221no—
1140C22×Q8—442no—
1141C22×Q8—442no—
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—442no—
1152#137—442no—
1153#137—442no—
1154#137—442no—
1155C2×Q16—111no—
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—111no—
1167C2×Q16—111no—
1168C2×Q16—111no—
1169C2×Q16—442no—
1170C2×Q16—442no—
1171C2×Q16—442no—
1172C2×Q16—442no—
1173C2×Q16C22×D1111yescharacteristic
1174C2×Q16C22×D1111yescharacteristic
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16—111no—
1179C2×SD16—111no—
1180C2×SD16—111no—
1181C2×SD16—111no—
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—111no—
1192C4⋊Q8—111no—
1193C4⋊Q8—111no—
1194C4⋊Q8—221no—
1195C4⋊Q8—221no—
1196C4⋊Q8—221no—
1197C4⋊Q8—221no—
1198C4⋊Q8C22×D1111yescharacteristic
1199#125—21no—
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—221no—
1328C2×C4⋊C4—221no—
1329C2×C4⋊C4—221no—
1330C2×C4⋊C4—221no—
1331C2×C4⋊C4—221no—
1332C2×C4⋊C4—221no—
1333C2×C4⋊C4C22×D1111yescharacteristic
1334C2×C4⋊C4C22×D1111yescharacteristic
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#106C22×D1111yescharacteristic
1353#106C22×D1111yescharacteristic
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#103C22×D1111yescharacteristic
1377#103C22×D1111yescharacteristic
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#102C22×D1111yescharacteristic
1389#102C22×D1111yescharacteristic
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—22no—
1433C2×Q8—41no—
1434C2×Q8—111no—
1435C2×Q8—111no—
1436C2×Q8—111no—
1437C2×Q8—111no—
1438C2×Q8—111no—
1439C2×Q8—221no—
1440C2×Q8—221no—
1441C2×Q8—221no—
1442C2×Q8—221no—
1443C2×Q8—221no—
1444C2×Q8—221no—
1445C2×Q8—221no—
1446C2×Q8—222no—
1447C2×Q8—222no—
1448C2×Q8—222no—
1449C2×Q8—221no—
1450C2×Q8—221no—
1451C2×Q8—221no—
1452C2×Q8—222no—
1453C2×Q8—222no—
1454C2×Q8—441no—
1455C2×Q8—441no—
1456C2×Q8—441no—
1457C2×Q8—441no—
1458C2×Q8—441no—
1459C2×Q8—444no—
1460C2×Q8—441no—
1461C2×Q8—441no—
1462C2×Q8—441no—
1463C2×Q8—441no—
1464C2×Q8—444no—
1465C2×Q8—441no—
1466C2×Q8—441no—
1467C2×Q8—441no—
1468C2×Q8—441no—
1469C2×Q8—444no—
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—41no—
1533Q16—222no—
1534Q16—222no—
1535Q16—222no—
1536Q16—222no—
1537Q16—222no—
1538Q16—222no—
1539Q16—222no—
1540Q16—441no—
1541Q16—441no—
1542Q16—441no—
1543Q16—441no—
1544Q16—441no—
1545Q16—441no—
1546Q16—441no—
1547SD16—41no—
1548SD16—441no—
1549SD16—441no—
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—21no—
1579C4⋊C4—111no—
1580C4⋊C4—111no—
1581C4⋊C4—111no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
1584C4⋊C4—221no—
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⋊C4D4×D1111yescharacteristic
1612C4⋊C4C23×D1111yescharacteristic
1613C4⋊C4C23×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—42no—
1687Q8—81no—
1688Q8—112no—
1689Q8—224no—
1690Q8—221no—
1691Q8—221no—
1692Q8—221no—
1693Q8—221no—
1694Q8—221no—
1695Q8—221no—
1696Q8—221no—
1697Q8—221no—
1698Q8—221no—
1699Q8—442no—
1700Q8—442no—
1701Q8—442no—
1702Q8—442no—
1703Q8—881no—
1704Q8—881no—
1705Q8—881no—
1706Q8—881no—
1707Q8—881no—
1708Q8#6704212yes—
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×#6704211yescharacteristic
1844C4D11×H(5,𝔽2)11yescharacteristic
1845C2—22no—
1846C2—41no—
1847C2—81no—
1848C2—222no—
1849C2—222no—
1850C2—441no—
1851C2—881no—
1852C2#1308224611yescharacteristic
1853C2C2×D11×#13711yescharacteristic
1854C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3316C2
socleC22×C11C23×D4
prime radicalD11×#548C2
hypercenter#3316D11
hypocenterC11#61573
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. #13082413C2semidirect
3. #13080730C2semidirect
4. #13080728C2semidirect
5. #13080726C2semidirect
6. #13080725C2semidirect
7. #13080724C2semidirect
8. #13080723C2semidirect
9. #13080721C2semidirect
10. #13080193C2semidirect
11. #13080191C2semidirect
12. #13080190C2semidirect
13. #13080188C2semidirect
14. #13080184C2semidirect
15. #13080183C2semidirect
16. #13080182C2semidirect
17. #13080181C2semidirect
18. #13079620C2semidirect
19. #13079617C2semidirect
20. #13079439C2semidirect
21. #13079436C2semidirect
22. #13079375C2semidirect
23. #13079368C2semidirect
24. #13078748C2semidirect
25. #13078744C2semidirect
26. #13077877C2semidirect
27. #13077873C2semidirect
28. C2×#10622421C2semidirect
29. D11×#451C2semidirect
30. #13077641C2semidirect
31. C11×#3316C2semidirect
34. C11×#554C22semidirect
37. C2×#67004C22semidirect
39. C22×#4326C22semidirect
40. C2×#66971C22semidirect
41. C2×Q16×D11C22semidirect
42. C2×Q16×D11C22semidirect
43. C2×#66968C22semidirect
44. C2×#66962C22semidirect
45. C22×Dic44C22semidirect
46. #10623261C22semidirect
60. #10623163C22semidirect
61. #10623163C22semidirect
72. Q8×D44C22semidirect
80. D4×Dic22C22semidirect
81. #10623042C22semidirect
82. #10623042C22semidirect
85. C11×#489C22semidirect
86. C11×#483C22semidirect
87. C11×#481C22semidirect
88. C11×#475C22semidirect
89. C11×#470C22semidirect
90. C11×#465C22semidirect
91. C11×#464C22semidirect
92. C11×#452C22semidirect
93. C11×#451C22semidirect
94. C11×#441C22semidirect
95. C11×#435C22semidirect
96. C11×#417C22semidirect
97. C2×C11×#103C22semidirect
98. #10622852C22semidirect
99. #10622841C22semidirect
100. #10622803C22semidirect
103. #10622799C22semidirect
104. #10622795C22semidirect
105. #10622783C22semidirect
107. #10622780C22semidirect
108. #10622750C22semidirect
109. #10622740C22semidirect
111. #10622727C22semidirect
112. #10622724C22semidirect
114. #10622707C22semidirect
115. #10622702C22semidirect
116. #10622673C22semidirect
117. #10622667C22semidirect
118. #10622665C22semidirect
119. #10622665C22semidirect
120. #10622663C22semidirect
121. #10622663C22semidirect
122. #10622661C22semidirect
123. #10622660C22semidirect
124. #10622654C22semidirect
125. #10622653C22semidirect
126. #10622644C22semidirect
127. #10622643C22semidirect
128. #10622643C22semidirect
129. #10622641C22semidirect
130. #10622624C22semidirect
131. #10622584C22semidirect
132. C2×#66874C22semidirect
133. #10622581C22semidirect
134. #10622579C22semidirect
135. #10622481C22semidirect
136. #10622481C22semidirect
137. #10622477C22semidirect
138. #10622477C22semidirect
139. #10622476C22semidirect
143. #10622475C22semidirect
144. #10622467C22semidirect
145. #10622466C22semidirect
146. #10622466C22semidirect
147. #10622462C22semidirect
148. #10622458C22semidirect
149. #10622449C22semidirect
151. #10622429C22semidirect
152. #10622429C22semidirect
153. #10622423C22semidirect
154. #10622423C22semidirect
161. #10622421C22semidirect
162. #10622421C22semidirect
163. #10622421C22semidirect
164. #10622421C22semidirect
165. #10622421C22semidirect
166. #10622419C22semidirect
168. #10622418C22semidirect
169. #10622416C22semidirect
170. D11×#103C22semidirect
171. D11×#103C22semidirect
172. #10622411C22semidirect
173. #10622411C22semidirect
174. #10622408C22semidirect
175. #10622406C22semidirect
176. #10622404C22semidirect
177. #10622402C22semidirect
178. #10622402C22semidirect
179. #10622396C22semidirect
180. #10622396C22semidirect
181. #10622391C22semidirect
182. #10622391C22semidirect
183. #10622390C22semidirect
187. #10622384C22semidirect
188. #10622380C22semidirect
189. #10622380C22semidirect
190. #10622378C22semidirect
191. #10622352C22semidirect
192. #10622352C22semidirect
193. #10622351C22semidirect
194. #10622346C22semidirect
195. #10622343C22semidirect
196. #10622341C22semidirect
199. #10622329C22semidirect
200. #10622328C22semidirect
201. #10622319C22semidirect
747. #3316D11semidirect
781. C22×D11#137semidirect
916. #554C2×D11semidirect
959. #489C2×D11semidirect
967. #483C2×D11semidirect
971. #481C2×D11semidirect
975. #475C2×D11semidirect
983. #470C2×D11semidirect
991. #465C2×D11semidirect
999. #464C2×D11semidirect
1011. #452C2×D11semidirect
1031. #451C2×D11semidirect
1047. #441C2×D11semidirect
1055. #435C2×D11semidirect
1061. #417C2×D11semidirect
1065. C2×#103C2×D11semidirect
1664. C11#61573semidirect

Maximal subgroups

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

subgroupindex
#130824132
D11×#5482
#130807302
#130807282
#130807262
#130807252
#130807242
#130807232
#130807212
#130801932
#130801912
#130801902
#130801882
#130801842
#130801832
#130801822
#130801812
#130796202
#130796172
#130794392
#130794362
#130793752
#130793682
#130787482
#130787442
#130778772
#130778732
C2×#106224212
D11×#4512
#130776412
C11×#33162
#6157311