Finite Group Databasebeta

← #15630945

Subgroups — #15630945

Order 2816.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D11×#556C211yesmaximal, characteristic, complemented
2#13082105C211yesmaximal, characteristic
3#13080895C211yesmaximal, characteristic, complemented
4#13080892C211yesmaximal, characteristic, complemented
5#13080845C211yesmaximal, characteristic, complemented
6#13080842C211yesmaximal, characteristic, complemented
7#13080687C211yesmaximal, characteristic, complemented
8#13080682C211yesmaximal, characteristic, complemented
9#13080679C211yesmaximal, characteristic, complemented
10#13080659C211yesmaximal, characteristic, complemented
11#13080654C211yesmaximal, characteristic, complemented
12#13080651C211yesmaximal, characteristic, complemented
13#13080646C211yesmaximal, characteristic, complemented
14#13080551C211yesmaximal, characteristic, complemented
15#13080548C211yesmaximal, characteristic, complemented
16#13080531C211yesmaximal, characteristic, complemented
17#13080528C211yesmaximal, characteristic, complemented
18#13079008C211yesmaximal, characteristic, complemented
19#13078548C211yesmaximal, characteristic, complemented
20#13078544C211yesmaximal, characteristic, complemented
21#13078430C211yesmaximal, characteristic, complemented
22#13078243C211yesmaximal, characteristic, complemented
23#13078241C211yesmaximal, characteristic, complemented
24#13078086C211yesmaximal, characteristic, complemented
25#13077875C211yesmaximal, characteristic, complemented
26#13077873C211yesmaximal, characteristic, complemented
27#13077432C211yesmaximal, characteristic, complemented
28#13077349C211yesmaximal, characteristic, complemented
29#13077134C211yesmaximal, characteristic, complemented
30#13077131C211yesmaximal, characteristic, complemented
31C11×#3313C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×#4343C2211yescharacteristic
34C11×#556C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic
36#10623365C2211yescharacteristic
37Q8×C22⋊D11C2211yescharacteristic
38C2×#66971C2211yescharacteristic
39C2×#66971C2211yescharacteristic, complemented
40C2×#66968C2211yescharacteristic, complemented
41C2×M16×D11C2211yescharacteristic, complemented
42C22×#4313C2211yescharacteristic, complemented
43#10623263C2211yescharacteristic, complemented
44D11×C4⋊Q8C2211yescharacteristic, complemented
45D11×#126—21no—
46D11×#126—21no—
47#10623233—21no—
48#10623233—21no—
49#10623207—21no—
50#10623207C2211yescharacteristic
51D11×#124—21no—
52#10623202—21no—
53#10623199—21no—
54#10623199C2211yescharacteristic
55#10623172C2211yescharacteristic
56#10623172C2211yescharacteristic, complemented
57#10623162—21no—
58#10623162C2211yescharacteristic
59#10623158—21no—
60#10623158C2211yescharacteristic
61D11×C22⋊Q8C2211yescharacteristic, complemented
62D11×C22⋊Q8C2211yescharacteristic, complemented
63#10623140—21no—
64#10623140C2211yescharacteristic
65#10623137—21no—
66#10623137C2211yescharacteristic
67#10623115C2211yescharacteristic, complemented
68#10623107C2211yescharacteristic
69C4×#4343C2211yescharacteristic
70C4×Q8×D11—21no—
71C4×Q8×D11C2211yescharacteristic, complemented
72#10623099—21no—
73#10623081—21no—
74#10623081C2211yescharacteristic
75C4×D4×D11—21no—
76C4×D4×D11C2211yescharacteristic
77#10623073C2211yescharacteristic, complemented
78#10623064C2211yescharacteristic
79#10623064C2211yescharacteristic, complemented
80D11×#117C2211yescharacteristic, complemented
81D11×#117C2211yescharacteristic, complemented
82C11×#489C2211yescharacteristic, complemented
83C11×#485C2211yescharacteristic, complemented
84C11×#482C2211yescharacteristic, complemented
85C11×#477C2211yescharacteristic, complemented
86C11×#468C2211yescharacteristic, complemented
87C11×#467C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#452C2211yescharacteristic, complemented
90C11×#451C2211yescharacteristic, complemented
91C11×#441C2211yescharacteristic, complemented
92C11×#435C2211yescharacteristic, complemented
93C11×#419C2211yescharacteristic, complemented
94C11×#416C2211yescharacteristic, complemented
95#10622852C2211yescharacteristic, complemented
96#10622846C2211yescharacteristic, complemented
97#10622841C2211yescharacteristic, complemented
98#10622838C2211yescharacteristic, complemented
99#10622802C2211yescharacteristic, complemented
100#10622800C2211yescharacteristic, complemented
101#10622800C2211yescharacteristic, complemented
102#10622799C2211yescharacteristic, complemented
103Q16×Dic11C2211yescharacteristic, complemented
104#10622795C2211yescharacteristic, complemented
105#10622784C2211yescharacteristic, complemented
106#10622782C2211yescharacteristic, complemented
107#10622776C2211yescharacteristic, complemented
108#10622750C2211yescharacteristic, complemented
109#10622744C2211yescharacteristic, complemented
110#10622741C2211yescharacteristic
111#10622727C2211yescharacteristic, complemented
112#10622726C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622702C2211yescharacteristic, complemented
115#10622697C2211yescharacteristic, complemented
116#10622668C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622664C2211yescharacteristic, complemented
120#10622661C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622659C2211yescharacteristic, complemented
123#10622658C2211yescharacteristic, complemented
124#10622655C2211yescharacteristic, complemented
125#10622648C2211yescharacteristic, complemented
126#10622643C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128#10622639C2211yescharacteristic, complemented
129#10622634C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622615C2211yescharacteristic, complemented
133#10622614C2211yescharacteristic, complemented
134#10622609C2211yescharacteristic, complemented
135#10622503C2211yescharacteristic, complemented
136#10622503C2211yescharacteristic, complemented
137#10622501C2211yescharacteristic, complemented
138#10622500C2211yescharacteristic, complemented
139#10622499C2211yescharacteristic, complemented
140#10622498C2211yescharacteristic, complemented
141#10622494C2211yescharacteristic, complemented
142#10622494C2211yescharacteristic, complemented
143#10622480C2211yescharacteristic, complemented
144#10622479C2211yescharacteristic, complemented
145#10622474C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622455C2211yescharacteristic, complemented
149#10622450C2211yescharacteristic, complemented
150#10622449C2211yescharacteristic, complemented
151#10622429C2211yescharacteristic, complemented
152#10622428C2211yescharacteristic, complemented
153#10622427C2211yescharacteristic, complemented
154#10622426C2211yescharacteristic, complemented
155#10622425C2211yescharacteristic, complemented
156#10622423C2211yescharacteristic, complemented
157#10622423C2211yescharacteristic, complemented
158#10622421C2211yescharacteristic, complemented
159#10622417C2211yescharacteristic, complemented
160#10622417C2211yescharacteristic, complemented
161#10622417C2211yescharacteristic, complemented
162#10622417C2211yescharacteristic, complemented
163#10622416C2211yescharacteristic
164#10622416C2211yescharacteristic
165#10622416C2211yescharacteristic
166#10622416C2211yescharacteristic, complemented
167#10622416C2211yescharacteristic, complemented
168#10622416C2211yescharacteristic, complemented
169#10622415C2211yescharacteristic, complemented
170#10622415C2211yescharacteristic, complemented
171#10622415C2211yescharacteristic, complemented
172#10622406C2211yescharacteristic, complemented
173#10622405C2211yescharacteristic, complemented
174#10622405C2211yescharacteristic, complemented
175#10622404C2211yescharacteristic, complemented
176#10622404C2211yescharacteristic, complemented
177#10622403C2211yescharacteristic, complemented
178#10622401C2211yescharacteristic, complemented
179#10622397C2211yescharacteristic, complemented
180#10622392C2211yescharacteristic, complemented
181#10622391C2211yescharacteristic, complemented
182#10622389C2211yescharacteristic, complemented
183#10622384C2211yescharacteristic, complemented
184#10622384C2211yescharacteristic, complemented
185#10622384C2211yescharacteristic, complemented
186#10622383C2211yescharacteristic, complemented
187#10622383C2211yescharacteristic, complemented
188#10622375C2211yescharacteristic, complemented
189#10622373C2211yescharacteristic, complemented
190#10622373C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic, complemented
194#10622342C2211yescharacteristic
195#10622339C2211yescharacteristic, complemented
196#10622339C2211yescharacteristic, complemented
197(C22⋊D11)⋊C8C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199#10622327C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic, complemented
201#10622320C2211yescharacteristic, complemented
202#10622319C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#41×D11—24no—
206#41×D11—42no—
207C2×#4343—21no—
208C2×#4343—21no—
209C2×#4343—24no—
210C2×#4343—42no—
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×Q8×D11—21no—
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×D44—21no—
227C22×D44C2311yescharacteristic
228C22×C4×D11—21no—
229C22×C4×D11—21no—
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×Q16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×C4⋊Q8C2311yescharacteristic
238C11×#126—21no—
239C11×#126—21no—
240C11×#124—21no—
241C11×#124—21no—
242C11×#124C2311yescharacteristic
243C11×C22⋊Q8—21no—
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121—21no—
248C11×#121C2311yescharacteristic
249C4×Q8×C11—21no—
250C4×Q8×C11C2311yescharacteristic
251C4×Q8×C11C2311yescharacteristic
252C4×D4×C11—21no—
253C4×D4×C11C2311yescharacteristic
254C11×#117C2311yescharacteristic
255C11×#117C2311yescharacteristic
256#67000—21no—
257#66999—21no—
258#66999C2311yescharacteristic
259#66999C2311yescharacteristic
260#66999C2311yescharacteristic
261Q8×Dic11—21no—
262Q8×Dic11C2311yescharacteristic
263Q8×Dic11C2311yescharacteristic
264#66997—21no—
265#66997—21no—
266#66997C2311yescharacteristic
267C2×#4326C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4326C2311yescharacteristic
270C2×#4325C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272#66993—21no—
273#66993C2311yescharacteristic
274#66991—21no—
275#66991C2311yescharacteristic
276#66990—21no—
277#66990—21no—
278#66990—21no—
279#66989—21no—
280D4×Dic11—21no—
281D4×Dic11D411yescharacteristic
282C2×#4324C2311yescharacteristic
283#66983—21no—
284#66983C2311yescharacteristic
285C4×C22⋊D11—21no—
286C4×C22⋊D11—21no—
287C4×C22⋊D11C2311yescharacteristic
288C4×C22⋊D11C2311yescharacteristic
289#66979C2311yescharacteristic
290#66979C2311yescharacteristic
291#66977—21no—
292#66977C2311yescharacteristic
293#66977C2311yescharacteristic
294#66977C2311yescharacteristic
295C2×#4318C2311yescharacteristic
296C22×C11⋊C8C2311yescharacteristic
297#66971—24no—
298#66971—42no—
299#66968—42no—
300M16×D11—42no—
301C2×Dic44C2311yescharacteristic
302C2×#4314C2311yescharacteristic
303C2×#4314C2311yescharacteristic
304C2×#4313—42no—
305C2×#4313C2311yescharacteristic
306C2×#4313C2311yescharacteristic
307C2×#4313C2311yescharacteristic
308C2×#4313C2311yescharacteristic
309C2×#4313C2311yescharacteristic
310C2×#4313C2311yescharacteristic
311C2×C8×D11C2311yescharacteristic
312C2×C8×D11C2311yescharacteristic
313#66951—21no—
314#66951—21no—
315#66951—21no—
316#66951—21no—
317#66951—21no—
318#66951—21no—
319#66950—21no—
320#66950C2311yescharacteristic
321#66950C2311yescharacteristic
322#66950C2311yescharacteristic
323#66949—21no—
324#66949—21no—
325#66948—21no—
326#66948C2311yescharacteristic
327#66947—21no—
328#66947—21no—
329#66947—21no—
330#66946—21no—
331#66946—21no—
332#66946D411yescharacteristic
333#66946C2311yescharacteristic
334#66945—21no—
335#66945C2311yescharacteristic
336#66945C2311yescharacteristic
337#66945C2311yescharacteristic
338#66945C2311yescharacteristic
339#66945C2311yescharacteristic
340C4⋊C4×D11—21no—
341C4⋊C4×D11—21no—
342C4⋊C4×D11—21no—
343C4⋊C4×D11—21no—
344C4⋊C4×D11—21no—
345C4⋊C4×D11D411yescharacteristic
346C4⋊C4×D11C2311yescharacteristic
347C4⋊C4×D11C2311yescharacteristic
348C4⋊C4×D11C2311yescharacteristic
349#66941—21no—
350#66941C2311yescharacteristic
351#66941C2311yescharacteristic
352#66940—21no—
353#66940—21no—
354#66940—21no—
355#66940—21no—
356#66940C2311yescharacteristic
357#66938—21no—
358#66938—21no—
359#66938—21no—
360#66938—21no—
361#66937—21no—
362#66937—21no—
363#66937—21no—
364#66937—21no—
365#66937—21no—
366#66937—21no—
367#66936—21no—
368#66936—21no—
369#66936—21no—
370#66935—21no—
371#66935—21no—
372#66935—21no—
373(C22⋊D11)⋊C4—21no—
374(C22⋊D11)⋊C4—21no—
375(C22⋊D11)⋊C4—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4D411yescharacteristic
378(C22⋊D11)⋊C4D411yescharacteristic
379C22⋊C4×D11—21no—
380C22⋊C4×D11—21no—
381C22⋊C4×D11—21no—
382C22⋊C4×D11—21no—
383C22⋊C4×D11—21no—
384C22⋊C4×D11—21no—
385C22⋊C4×D11D411yescharacteristic
386C22⋊C4×D11D411yescharacteristic
387#66932—21no—
388#66932—21no—
389#66932—21no—
390#66932—21no—
391#66932—21no—
392#66932—21no—
393#66931—21no—
394#66931—21no—
395#66930—21no—
396#66930—21no—
397#66929—21no—
398#66929—21no—
399#66928—21no—
400#66928—21no—
401#66928C2311yescharacteristic
402C4×D44—21no—
403C4×D44—21no—
404C4×D44C2311yescharacteristic
405C4×D44C2311yescharacteristic
406#66925—21no—
407#66925—21no—
408C42×D11—21no—
409C42×D11—21no—
410C42×D11—21no—
411C42×D11—21no—
412C42×D11C2311yescharacteristic
413#66922C2311yescharacteristic
414C4×Dic22—21no—
415C4×Dic22—21no—
416C4×Dic22—21no—
417C4×Dic22—21no—
418C4×Dic22C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#107C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C11×#97C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458#66882C2311yescharacteristic
459#66881C2311yescharacteristic
460#66881C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#61165—111nomaximal, Sylow
488C23×D11—21no—
489C23×D11—21no—
490C23×D11C2×D411yescharacteristic
491C23×D11C2×D411yescharacteristic
492C11×#41—22no—
493C11×#41—41no—
494C2×Q8×C11—21no—
495C2×Q8×C11—21no—
496C2×Q8×C11—22no—
497C2×Q8×C11—41no—
498C2×Q8×C11C2411yescharacteristic
499C2×Q8×C11C2411yescharacteristic
500C2×Q8×C11C2411yescharacteristic
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11C2×D411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C22×C4×C11C2411yescharacteristic
508C22×C4×C11C2411yescharacteristic
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11C2×D411yescharacteristic
517C2×C22⋊D11C2×D411yescharacteristic
518C22×Dic11—21no—
519C22×Dic11C2×D411yescharacteristic
520C22×Dic11C2×D411yescharacteristic
521#4343—22no—
522#4343—22no—
523#4343—22no—
524#4343—22no—
525#4343—22no—
526#4343—41no—
527#4343—41no—
528#4343—44no—
529#4343—44no—
530#4343#4114yes—
531Q8×D11—22no—
532Q8×D11—22no—
533Q8×D11—22no—
534Q8×D11—41no—
535Q8×D11—44no—
536#4341—22no—
537#4341—22no—
538#4341—44no—
539D4×D11—22no—
540D4×D11—41no—
541D4×D11—44no—
542D4×D11—42no—
543D4×D11—44no—
544#4339—22no—
545#4339—41no—
546#4339—44no—
547C2×D44—21no—
548C2×D44—21no—
549C2×D44—21no—
550C2×D44—21no—
551C2×D44—21no—
552C2×D44—22no—
553C2×D44—21no—
554C2×D44—41no—
555C2×D44—44no—
556C2×D44C2×D411yescharacteristic
557C2×D44C2411yescharacteristic
558C2×D44C2411yescharacteristic
559C2×C4×D11—21no—
560C2×C4×D11—22no—
561C2×C4×D11—22no—
562C2×C4×D11—22no—
563C2×C4×D11—22no—
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—44no—
576C2×C4×D11—44no—
577C2×C4×D11C2×D411yescharacteristic
578C2×C4×D11C2×D411yescharacteristic
579C2×C4×D11C2×D411yescharacteristic
580C2×C4×D11C2×D411yescharacteristic
581C2×C4×D11C2×D411yescharacteristic
582C2×C4×D11C2×D411yescharacteristic
583C2×C4×D11C2411yescharacteristic
584C2×C4×D11C2411yescharacteristic
585C2×C4×D11C2411yescharacteristic
586C2×Dic22—21no—
587C2×Dic22—21no—
588C2×Dic22—21no—
589C2×Dic22—21no—
590C2×Dic22—21no—
591C2×Dic22C2411yescharacteristic
592C2×Dic22C2411yescharacteristic
593C11×Q16—22no—
594C11×Q16—41no—
595C11×SD16—41no—
596C11×M16—41no—
597C2×C8×C11—41no—
598C2×C8×C11C2411yescharacteristic
599C2×C8×C11C2411yescharacteristic
600C2×C8×C11C2411yescharacteristic
601C2×C8×C11C2411yescharacteristic
602C11×C4⋊C4—21no—
603C11×C4⋊C4—21no—
604C11×C4⋊C4—21no—
605C11×C4⋊C4—21no—
606C11×C4⋊C4—21no—
607C11×C4⋊C4—21no—
608C11×C4⋊C4C2×D411yescharacteristic
609C11×C4⋊C4C2411yescharacteristic
610C11×C4⋊C4C2411yescharacteristic
611C11×C4⋊C4C2411yescharacteristic
612C11×C4⋊C4C2411yescharacteristic
613C11×C22⋊C4—21no—
614C11×C22⋊C4—21no—
615C11×C22⋊C4—21no—
616C11×C22⋊C4—21no—
617C11×C22⋊C4—21no—
618C11×C22⋊C4—21no—
619C11×C22⋊C4—21no—
620C11×C22⋊C4—21no—
621C11×C22⋊C4C2×D411yescharacteristic
622C11×C22⋊C4C2×D411yescharacteristic
623C42×C11—21no—
624C42×C11—21no—
625C42×C11—21no—
626C42×C11—21no—
627C42×C11C2411yescharacteristic
628C22⋊Dic11—21no—
629C22⋊Dic11—21no—
630C22⋊Dic11—21no—
631C22⋊Dic11—21no—
632C22⋊Dic11—21no—
633C22⋊Dic11—21no—
634C22⋊Dic11C2×D411yescharacteristic
635C22⋊Dic11C2×D411yescharacteristic
636#4326—22no—
637#4326—41no—
638#4326—41no—
639#4325—22no—
640#4325—41no—
641#4324—41no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4C2×D411yescharacteristic
660(C2×D11)⋊C4C2×D411yescharacteristic
661(C2×D11)⋊C4C2×D411yescharacteristic
662(C2×D11)⋊C4C2×D411yescharacteristic
663C4⋊Dic11—21no—
664C4⋊Dic11—21no—
665C4⋊Dic11—21no—
666C4⋊Dic11—21no—
667C4⋊Dic11—21no—
668C4⋊Dic11—21no—
669C4⋊Dic11C2×D411yescharacteristic
670C4⋊Dic11C2411yescharacteristic
671C4⋊Dic11C2411yescharacteristic
672C4⋊Dic11C2411yescharacteristic
673C4⋊Dic11C2411yescharacteristic
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4C2×D411yescharacteristic
690Dic11⋊C4C2×D411yescharacteristic
691C4×Dic11—21no—
692C4×Dic11—21no—
693C4×Dic11—21no—
694C4×Dic11—21no—
695C4×Dic11—21no—
696C4×Dic11—21no—
697C4×Dic11—21no—
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11C2×D411yescharacteristic
703C4×Dic11C2×D411yescharacteristic
704C4×Dic11C2411yescharacteristic
705#4318—41no—
706C2×C11⋊C8—41no—
707C2×C11⋊C8C2411yescharacteristic
708C2×C11⋊C8C2411yescharacteristic
709C2×C11⋊C8C2411yescharacteristic
710C2×C11⋊C8C2411yescharacteristic
711Dic44—41no—
712#4314—22no—
713#4314—41no—
714#4313—22no—
715#4313—22no—
716#4313—22no—
717#4313—22no—
718#4313—41no—
719#4313—41no—
720C8×D11—41no—
721C8×D11—41no—
722C2×#556—111no—
723D4×#41—111no—
724#3328—111no—
725#3328—111no—
726#3324—111no—
727#3324—111no—
728#3313—111no—
729#3313—111no—
730#3313—111no—
731#3313D1111yescharacteristic, complemented
732#3311—111no—
733#3311—111no—
734#3311—111no—
735#3311—111no—
736#3304—111no—
737#3304—111no—
738#3302—111no—
739#3302—111no—
740#3141—111no—
741#3093—111no—
742#3093—111no—
743#3079—111no—
744#3056—111no—
745#3056—111no—
746#3037—111no—
747#3007—111no—
748#3007—111no—
749C4×#137—111no—
750D4×M16—111no—
751#2896—111no—
752#2896—111no—
753C23×C11—21no—
754C23×C11C22×D411yescharacteristic
755C23×C11C22×D411yescharacteristic
756C22×D11—21no—
757C22×D11—22no—
758C22×D11—22no—
759C22×D11—21no—
760C22×D11—41no—
761C22×D11—41no—
762C22×D11—41no—
763C22×D11—41no—
764C22×D11—42no—
765C22×D11—42no—
766C22×D11—42no—
767C22×D11—42no—
768C22×D11—81no—
769C22×D11—81no—
770C22×D11C22×D411yescharacteristic
771C22×D11C22×D411yescharacteristic
772C22×D11C22×D411yescharacteristic
773Q8×C11—21no—
774Q8×C11—21no—
775Q8×C11—21no—
776Q8×C11—21no—
777Q8×C11—21no—
778Q8×C11—42no—
779Q8×C11—42no—
780Q8×C11C2×#4112yes—
781D4×C11—21no—
782D4×C11—21no—
783D4×C11—41no—
784D4×C11—42no—
785D4×C11—42no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—42no—
798C2×C4×C11—42no—
799C2×C4×C11C22×D411yescharacteristic
800C2×C4×C11C22×D411yescharacteristic
801C2×C4×C11C22×D411yescharacteristic
802C2×C4×C11C22×D411yescharacteristic
803C2×C4×C11C2511yescharacteristic
804C22⋊D11—22no—
805C22⋊D11—22no—
806C22⋊D11—42no—
807C22⋊D11—42no—
808C22⋊D11—42no—
809C22⋊D11—42no—
810C22⋊D11—81no—
811C22⋊D11—81no—
812C22⋊D11—81no—
813C2×Dic11—22no—
814C2×Dic11—22no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—21no—
821C2×Dic11—42no—
822C2×Dic11C22×D411yescharacteristic
823C2×Dic11C22×D411yescharacteristic
824C2×Dic11C22×D411yescharacteristic
825C2×Dic11C22×D411yescharacteristic
826C2×Dic11C22×D411yescharacteristic
827D44—24no—
828D44—21no—
829D44—21no—
830D44—21no—
831D44—41no—
832D44—42no—
833D44—42no—
834D44—42no—
835D44—42no—
836D44—42no—
837D44C2×#4112yes—
838C4×D11—22no—
839C4×D11—22no—
840C4×D11—21no—
841C4×D11—21no—
842C4×D11—21no—
843C4×D11—21no—
844C4×D11—22no—
845C4×D11—22no—
846C4×D11—24no—
847C4×D11—22no—
848C4×D11—41no—
849C4×D11—42no—
850C4×D11—42no—
851C4×D11—42no—
852C4×D11—42no—
853C4×D11—42no—
854C4×D11—42no—
855C4×D11—42no—
856C4×D11—42no—
857C4×D11—42no—
858C4×D11—42no—
859C4×D11—81no—
860C4×D11C2×#4112yes—
861C4×D11H(5,𝔽2)12yes—
862Dic22—21no—
863Dic22—21no—
864Dic22—21no—
865Dic22—21no—
866Dic22—42no—
867Dic22—42no—
868Dic22—42no—
869Dic22—42no—
870Dic22—42no—
871C8×C11—21no—
872C8×C11—21no—
873C8×C11—21no—
874C8×C11—21no—
875C11⋊C8—21no—
876C11⋊C8—21no—
877C11⋊C8—21no—
878C11⋊C8—21no—
879C22×#41—111no—
880C22×#41—111no—
881C2×#137—111no—
882C2×#137—111no—
883C2×#137—111no—
884C22×M16—111no—
885C22×M16—111no—
886#556—111no—
887#556—111no—
888#556—111no—
889#556—111no—
890#556—111no—
891#556—111no—
892#556—111no—
893#556—221no—
894#556—221no—
895#556—221no—
896#556—221no—
897#556C2×D1111yescharacteristic, complemented
898#550—111no—
899D4×Q8—111no—
900#548—111no—
901#548C2×D1111yescharacteristic
902#547—111no—
903#547—221no—
904#546—111no—
905#546—111no—
906#546—221no—
907#546—221no—
908D42—111no—
909D42—221no—
910#532—111no—
911#532—221no—
912C2×C4⋊Q8—111no—
913C2×#126—221no—
914C2×#126—221no—
915C2×#124—221no—
916#525—111no—
917#525—111no—
918#525—221no—
919#525—221no—
920C2×C22⋊Q8—111no—
921C2×C22⋊Q8—111no—
922C4×#41—111no—
923C2×C4×Q8—111no—
924C2×C4×Q8—221no—
925C2×C4×D4—111no—
926C2×C4×D4—221no—
927C2×#117—111no—
928C2×#117—111no—
929#489—111no—
930#489—111no—
931#489—111no—
932#489C2×D1111yescharacteristic, complemented
933#487—111no—
934#487—111no—
935#486—111no—
936#486—111no—
937#485—111no—
938#485—111no—
939#485—111no—
940#485—111no—
941#485—111no—
942#485—111no—
943#485—111no—
944#485C2×D1111yescharacteristic, complemented
945#482—111no—
946#482—111no—
947#482—111no—
948#482—111no—
949#482—111no—
950#482—111no—
951#482—111no—
952#482C2×D1111yescharacteristic, complemented
953#477—111no—
954#477C2×D1111yescharacteristic, complemented
955#476—111no—
956#476—111no—
957#475—111no—
958#475—111no—
959#474—111no—
960#474—111no—
961#470—111no—
962#470—111no—
963#470—111no—
964#470—111no—
965#468—111no—
966#468—111no—
967#468—111no—
968#468C2×D1111yescharacteristic, complemented
969#467—111no—
970#467—111no—
971#467—111no—
972#467C2×D1111yescharacteristic, complemented
973#465—111no—
974#465—111no—
975#465—111no—
976#465—111no—
977#464—111no—
978#464—111no—
979#464—111no—
980#464C2×D1111yescharacteristic, complemented
981#462—111no—
982#462—111no—
983#460—111no—
984#460—111no—
985#452—111no—
986#452—111no—
987#452—111no—
988#452—111no—
989#452—111no—
990#452—111no—
991#452—111no—
992#452C2×D1111yescharacteristic, complemented
993#451—111no—
994#451—111no—
995#451—111no—
996#451C2×D1111yescharacteristic, complemented
997#450—111no—
998#450—111no—
999#450—111no—
1000#450—111no—
1001#441—111no—
1002#441C2×D1111yescharacteristic, complemented
1003#440—111no—
1004#440—111no—
1005C4×Q16—111no—
1006C4×Q16—111no—
1007C4×SD16—111no—
1008C4×SD16—111no—
1009#436—111no—
1010#436—111no—
1011#435—111no—
1012#435—111no—
1013#435—111no—
1014#435C2×D1111yescharacteristic, complemented
1015C8×D4—111no—
1016C8×D4—111no—
1017#428—111no—
1018#428—111no—
1019#428—111no—
1020#423—111no—
1021#419—111no—
1022#419—111no—
1023#419—111no—
1024#419—111no—
1025#419C2×D1111yescharacteristic, complemented
1026#418—111no—
1027#418—111no—
1028#418—111no—
1029#418—111no—
1030#417—111no—
1031#417—111no—
1032#417—111no—
1033#417—111no—
1034#417—111no—
1035#417—111no—
1036#417—111no—
1037#417—111no—
1038#417—111no—
1039#416—111no—
1040#416—111no—
1041#416—111no—
1042#416—111no—
1043#416—111no—
1044#416—111no—
1045#416—111no—
1046#416C2×D1111yescharacteristic, complemented
1047#407—111no—
1048#407—111no—
1049C4×M16—111no—
1050C22×C11—21no—
1051C22×C11—21no—
1052C22×C11—21no—
1053C22×C11—21no—
1054C22×C11—21no—
1055C22×C11—21no—
1056C22×C11—41no—
1057C22×C11—41no—
1058C22×C11—41no—
1059C22×C11C23×D411yescharacteristic
1060C2×D11—21no—
1061C2×D11—21no—
1062C2×D11—21no—
1063C2×D11—21no—
1064C2×D11—21no—
1065C2×D11—21no—
1066C2×D11—22no—
1067C2×D11—21no—
1068C2×D11—21no—
1069C2×D11—41no—
1070C2×D11—41no—
1071C2×D11—41no—
1072C2×D11—41no—
1073C2×D11—41no—
1074C2×D11—82no—
1075C2×D11—82no—
1076C2×D11—84no—
1077C2×D11—84no—
1078C2×D11#54612yes—
1079C4×C11—21no—
1080C4×C11—21no—
1081C4×C11—21no—
1082C4×C11—22no—
1083C4×C11—21no—
1084C4×C11—41no—
1085C4×C11—41no—
1086C4×C11—41no—
1087C4×C11—41no—
1088C4×C11—41no—
1089C4×C11—41no—
1090C4×C11C22×#4111yescharacteristic
1091C4×C11C2×H(5,𝔽2)11yescharacteristic
1092Dic11—21no—
1093Dic11—21no—
1094Dic11—21no—
1095Dic11—41no—
1096Dic11—41no—
1097Dic11—41no—
1098Dic11—41no—
1099Dic11—41no—
1100Dic11—41no—
1101Dic11#54612yes—
1102Dic11#57512yes—
1103C2×#41—111no—
1104C2×#41—111no—
1105C2×#41—111no—
1106C2×#41—111no—
1107C2×#41—111no—
1108C2×#41—111no—
1109C2×#41—221no—
1110C2×#41—221no—
1111C2×#41—221no—
1112C2×#41—221no—
1113C2×#41—224no—
1114C2×#41—224no—
1115C2×#41—442no—
1116C2×#41—442no—
1117C2×#41C22×D1111yescharacteristic
1118C22×Q8—111no—
1119C22×Q8—111no—
1120C22×Q8—221no—
1121C22×Q8C22×D1111yescharacteristic
1122C22×D4—111no—
1123C22×D4—111no—
1124C22×D4—111no—
1125C22×D4—221no—
1126C22×D4—221no—
1127C22×D4—221no—
1128C23×C4—111no—
1129C23×C4—111no—
1130C23×C4—221no—
1131C23×C4—221no—
1132#137—224no—
1133#137—442no—
1134#137—442no—
1135C2×Q16—111no—
1136C2×Q16—111no—
1137C2×Q16—111no—
1138C2×Q16—111no—
1139C2×Q16C22×D1111yescharacteristic
1140C2×Q16C22×D1111yescharacteristic
1141C2×SD16—111no—
1142C2×SD16—111no—
1143C2×SD16—111no—
1144C2×SD16—111no—
1145C2×SD16—111no—
1146C2×SD16C22×D1111yescharacteristic
1147C2×M16—111no—
1148C2×M16—111no—
1149C2×M16—111no—
1150C2×M16—111no—
1151C2×M16—111no—
1152C2×M16—111no—
1153C2×M16—111no—
1154C2×M16—442no—
1155C2×M16—442no—
1156C2×M16C22×D1111yescharacteristic
1157C22×C8—111no—
1158C22×C8—111no—
1159C22×C8—111no—
1160C22×C8C22×D1111yescharacteristic
1161C4⋊Q8—111no—
1162C4⋊Q8—111no—
1163C4⋊Q8—111no—
1164C4⋊Q8—111no—
1165C4⋊Q8—221no—
1166C4⋊Q8—221no—
1167C4⋊Q8—221no—
1168C4⋊Q8C22×D1111yescharacteristic
1169#127—111no—
1170#127—221no—
1171#126—21no—
1172#126—21no—
1173#126—221no—
1174#126—221no—
1175#126—221no—
1176#126—221no—
1177#126—221no—
1178#126—221no—
1179#126—221no—
1180#126—221no—
1181#126—221no—
1182#126—221no—
1183#126—221no—
1184#126—221no—
1185#126—221no—
1186#126—221no—
1187#124—21no—
1188#124—21no—
1189#124—111no—
1190#124—221no—
1191#124—221no—
1192#124—221no—
1193#124—221no—
1194#124—221no—
1195#124—221no—
1196#124—221no—
1197#124—221no—
1198#124C22×D1111yescharacteristic
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202#123—221no—
1203#123—221no—
1204#123—221no—
1205C22⋊Q8—21no—
1206C22⋊Q8—111no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—111no—
1210C22⋊Q8—111no—
1211C22⋊Q8—111no—
1212C22⋊Q8—111no—
1213C22⋊Q8—111no—
1214C22⋊Q8—111no—
1215C22⋊Q8—221no—
1216C22⋊Q8—221no—
1217C22⋊Q8—221no—
1218C22⋊Q8—221no—
1219C22⋊Q8—221no—
1220C22⋊Q8—221no—
1221C22⋊Q8—221no—
1222C22⋊Q8C22×D1111yescharacteristic
1223C22⋊Q8C22×D1111yescharacteristic
1224C22⋊Q8C22×D1111yescharacteristic
1225#121—21no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—221no—
1230#121—221no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121C22×D1111yescharacteristic
1239#120—221no—
1240#120—221no—
1241#120—221no—
1242#120—221no—
1243#120—221no—
1244#120—221no—
1245C4×Q8—21no—
1246C4×Q8—111no—
1247C4×Q8—111no—
1248C4×Q8—111no—
1249C4×Q8—111no—
1250C4×Q8—221no—
1251C4×Q8—221no—
1252C4×Q8—221no—
1253C4×Q8—221no—
1254C4×Q8—221no—
1255C4×Q8—221no—
1256C4×Q8—221no—
1257C4×Q8—221no—
1258C4×Q8—221no—
1259C4×Q8C22×D1111yescharacteristic
1260C4×Q8C22×D1111yescharacteristic
1261C4×D4—21no—
1262C4×D4—111no—
1263C4×D4—111no—
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—111no—
1269C4×D4—111no—
1270C4×D4—111no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4C22×D1111yescharacteristic
1283#117—111no—
1284#117—111no—
1285#117—111no—
1286#117—111no—
1287#117—111no—
1288#117—111no—
1289#117—111no—
1290#117—221no—
1291#117—221no—
1292#117—221no—
1293#117—221no—
1294#117—221no—
1295#117C22×D1111yescharacteristic
1296#117C22×D1111yescharacteristic
1297C2×C4⋊C4—111no—
1298C2×C4⋊C4—111no—
1299C2×C4⋊C4—111no—
1300C2×C4⋊C4—111no—
1301C2×C4⋊C4—221no—
1302C2×C4⋊C4—221no—
1303C2×C4⋊C4—221no—
1304C2×C4⋊C4—221no—
1305C2×C4⋊C4—221no—
1306C2×C22⋊C4—111no—
1307C2×C22⋊C4—111no—
1308C2×C22⋊C4—221no—
1309C2×C22⋊C4—221no—
1310C2×C22⋊C4—221no—
1311C2×C22⋊C4—221no—
1312C2×C22⋊C4—221no—
1313C2×C22⋊C4—221no—
1314C2×C42—111no—
1315C2×C42—221no—
1316C2×C42—221no—
1317C2×C42—221no—
1318C2×C42—221no—
1319#107—111no—
1320#107—111no—
1321#107—111no—
1322#107—111no—
1323#107C22×D1111yescharacteristic
1324#107C22×D1111yescharacteristic
1325#106—111no—
1326#106—111no—
1327#106—111no—
1328#106—111no—
1329#106—111no—
1330#106C22×D1111yescharacteristic
1331C4⋊C8—111no—
1332C4⋊C8—111no—
1333C4⋊C8—111no—
1334C4⋊C8C22×D1111yescharacteristic
1335#103—111no—
1336#103—111no—
1337#103—111no—
1338#103—111no—
1339#103—111no—
1340#103—111no—
1341#103—111no—
1342#103—111no—
1343#103—111no—
1344#103—111no—
1345#103—111no—
1346#103—111no—
1347#103—111no—
1348#103—111no—
1349#103—111no—
1350#103C22×D1111yescharacteristic
1351#103C22×D1111yescharacteristic
1352#103C22×D1111yescharacteristic
1353#103C22×D1111yescharacteristic
1354#103C22×D1111yescharacteristic
1355#103C22×D1111yescharacteristic
1356#103C22×D1111yescharacteristic
1357#102—111no—
1358#102—111no—
1359#102—111no—
1360#102—111no—
1361#102—111no—
1362#102—111no—
1363#102—111no—
1364#102—111no—
1365#102—111no—
1366#102—111no—
1367#102—111no—
1368#102—111no—
1369#102—111no—
1370#102—111no—
1371#102—111no—
1372#102C22×D1111yescharacteristic
1373#102C22×D1111yescharacteristic
1374#102C22×D1111yescharacteristic
1375C22⋊C8—111no—
1376C22⋊C8—111no—
1377C22⋊C8—111no—
1378C22⋊C8—111no—
1379C22⋊C8—111no—
1380C22⋊C8—111no—
1381C22⋊C8C22×D1111yescharacteristic
1382C22⋊C8C22×D1111yescharacteristic
1383#97—111no—
1384#97C22×D1111yescharacteristic
1385C4×C8—111no—
1386C4×C8—111no—
1387C2×C11—41no—
1388C2×C11—41no—
1389C2×C11—81no—
1390C2×C11C2×#54611yescharacteristic
1391C2×C11C2×#57511yescharacteristic
1392C2×C11#358611yescharacteristic
1393D11—22no—
1394D11—41no—
1395D11—41no—
1396D11—42no—
1397D11—81no—
1398C24—111no—
1399C24—111no—
1400C24—221no—
1401C24—221no—
1402#41—22no—
1403#41—41no—
1404#41—114no—
1405#41—222no—
1406#41—222no—
1407#41—222no—
1408#41—222no—
1409#41—222no—
1410#41—222no—
1411#41—222no—
1412#41—222no—
1413#41—441no—
1414#41—444no—
1415#41—444no—
1416#41—444no—
1417#41—441no—
1418#41—441no—
1419#41—444no—
1420C2×Q8—21no—
1421C2×Q8—21no—
1422C2×Q8—22no—
1423C2×Q8—41no—
1424C2×Q8—111no—
1425C2×Q8—111no—
1426C2×Q8—221no—
1427C2×Q8—221no—
1428C2×Q8—221no—
1429C2×Q8—221no—
1430C2×Q8—222no—
1431C2×Q8—222no—
1432C2×Q8—221no—
1433C2×Q8—222no—
1434C2×Q8—441no—
1435C2×Q8—444no—
1436C2×Q8C23×D1111yescharacteristic
1437C2×Q8C23×D1111yescharacteristic
1438C2×Q8C23×D1111yescharacteristic
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—111no—
1442C2×D4—111no—
1443C2×D4—111no—
1444C2×D4—111no—
1445C2×D4—111no—
1446C2×D4—222no—
1447C2×D4—221no—
1448C2×D4—221no—
1449C2×D4—221no—
1450C2×D4—221no—
1451C2×D4—221no—
1452C2×D4—221no—
1453C2×D4—221no—
1454C2×D4—221no—
1455C2×D4—222no—
1456C2×D4—221no—
1457C2×D4—221no—
1458C2×D4—221no—
1459C2×D4—221no—
1460C2×D4—221no—
1461C2×D4—441no—
1462C2×D4—444no—
1463C2×D4—441no—
1464C2×D4—442no—
1465C2×D4—444no—
1466C2×D4—444no—
1467C2×D4D4×D1111yescharacteristic
1468C2×D4C23×D1111yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—111no—
1472C22×C4—111no—
1473C22×C4—111no—
1474C22×C4—111no—
1475C22×C4—111no—
1476C22×C4—111no—
1477C22×C4—111no—
1478C22×C4—111no—
1479C22×C4—111no—
1480C22×C4—111no—
1481C22×C4—111no—
1482C22×C4—221no—
1483C22×C4—222no—
1484C22×C4—222no—
1485C22×C4—222no—
1486C22×C4—222no—
1487C22×C4—221no—
1488C22×C4—221no—
1489C22×C4—221no—
1490C22×C4—221no—
1491C22×C4—221no—
1492C22×C4—221no—
1493C22×C4—221no—
1494C22×C4—221no—
1495C22×C4—221no—
1496C22×C4—221no—
1497C22×C4—221no—
1498C22×C4—221no—
1499C22×C4—444no—
1500C22×C4—444no—
1501C22×C4C23×D1111yescharacteristic
1502C22×C4C23×D1111yescharacteristic
1503Q16—22no—
1504Q16—41no—
1505Q16—222no—
1506Q16—441no—
1507Q16—441no—
1508Q16—441no—
1509SD16—41no—
1510SD16—222no—
1511SD16—222no—
1512SD16—441no—
1513SD16—441no—
1514SD16—441no—
1515M16—41no—
1516M16—222no—
1517M16—222no—
1518M16—222no—
1519M16—222no—
1520M16—441no—
1521M16—441no—
1522M16—441no—
1523C2×C8—41no—
1524C2×C8—111no—
1525C2×C8—111no—
1526C2×C8—111no—
1527C2×C8—111no—
1528C2×C8—441no—
1529C2×C8—441no—
1530C2×C8—441no—
1531C2×C8C23×D1111yescharacteristic
1532C2×C8C23×D1111yescharacteristic
1533C2×C8C23×D1111yescharacteristic
1534C2×C8C23×D1111yescharacteristic
1535C4⋊C4—21no—
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—111no—
1542C4⋊C4—111no—
1543C4⋊C4—111no—
1544C4⋊C4—111no—
1545C4⋊C4—111no—
1546C4⋊C4—111no—
1547C4⋊C4—111no—
1548C4⋊C4—221no—
1549C4⋊C4—221no—
1550C4⋊C4—221no—
1551C4⋊C4—221no—
1552C4⋊C4—221no—
1553C4⋊C4—221no—
1554C4⋊C4—221no—
1555C4⋊C4—221no—
1556C4⋊C4—221no—
1557C4⋊C4—221no—
1558C4⋊C4—221no—
1559C4⋊C4—221no—
1560C4⋊C4—221no—
1561C4⋊C4—221no—
1562C4⋊C4—221no—
1563C4⋊C4—221no—
1564C4⋊C4—221no—
1565C4⋊C4—221no—
1566C4⋊C4—221no—
1567C4⋊C4—221no—
1568C4⋊C4—221no—
1569C4⋊C4D4×D1111yescharacteristic
1570C4⋊C4C23×D1111yescharacteristic
1571C4⋊C4C23×D1111yescharacteristic
1572C4⋊C4C23×D1111yescharacteristic
1573C4⋊C4C23×D1111yescharacteristic
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—111no—
1583C22⋊C4—111no—
1584C22⋊C4—111no—
1585C22⋊C4—111no—
1586C22⋊C4—111no—
1587C22⋊C4—111no—
1588C22⋊C4—221no—
1589C22⋊C4—221no—
1590C22⋊C4—221no—
1591C22⋊C4—221no—
1592C22⋊C4—221no—
1593C22⋊C4—221no—
1594C22⋊C4—221no—
1595C22⋊C4—221no—
1596C22⋊C4—221no—
1597C22⋊C4—221no—
1598C22⋊C4—221no—
1599C22⋊C4—221no—
1600C22⋊C4—221no—
1601C22⋊C4—221no—
1602C22⋊C4—221no—
1603C22⋊C4—221no—
1604C22⋊C4—221no—
1605C22⋊C4—221no—
1606C22⋊C4—221no—
1607C22⋊C4—221no—
1608C22⋊C4—221no—
1609C22⋊C4—221no—
1610C22⋊C4—221no—
1611C22⋊C4D4×D1111yescharacteristic
1612C22⋊C4D4×D1111yescharacteristic
1613C42—21no—
1614C42—21no—
1615C42—21no—
1616C42—21no—
1617C42—111no—
1618C42—111no—
1619C42—111no—
1620C42—221no—
1621C42—221no—
1622C42—221no—
1623C42—221no—
1624C42—221no—
1625C42—221no—
1626C42—221no—
1627C42—221no—
1628C42—221no—
1629C42—221no—
1630C42—221no—
1631C42C23×D1111yescharacteristic
1632C11#6116511yescharacteristic, complemented, Sylow
1633C23—21no—
1634C23—111no—
1635C23—111no—
1636C23—111no—
1637C23—222no—
1638C23—222no—
1639C23—221no—
1640C23—221no—
1641C23—441no—
1642C23—441no—
1643C23—441no—
1644C23—441no—
1645C23—442no—
1646C23—442no—
1647C23—442no—
1648C23—442no—
1649C23—881no—
1650C23—881no—
1651C23C2×D4×D1111yescharacteristic
1652C23C2×D4×D1111yescharacteristic
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—21no—
1657Q8—21no—
1658Q8—42no—
1659Q8—42no—
1660Q8—221no—
1661Q8—221no—
1662Q8—221no—
1663Q8—221no—
1664Q8—442no—
1665Q8—442no—
1666Q8—442no—
1667Q8—442no—
1668Q8—442no—
1669Q8#41×D1112yes—
1670D4—21no—
1671D4—21no—
1672D4—41no—
1673D4—42no—
1674D4—42no—
1675D4—112no—
1676D4—224no—
1677D4—222no—
1678D4—222no—
1679D4—221no—
1680D4—221no—
1681D4—221no—
1682D4—441no—
1683D4—442no—
1684D4—442no—
1685D4—442no—
1686D4—442no—
1687D4—442no—
1688D4—442no—
1689D4—442no—
1690D4—442no—
1691D4—442no—
1692D4—881no—
1693D4—881no—
1694D4—881no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—42no—
1707C2×C4—42no—
1708C2×C4—111no—
1709C2×C4—111no—
1710C2×C4—112no—
1711C2×C4—112no—
1712C2×C4—111no—
1713C2×C4—111no—
1714C2×C4—111no—
1715C2×C4—222no—
1716C2×C4—222no—
1717C2×C4—222no—
1718C2×C4—224no—
1719C2×C4—222no—
1720C2×C4—222no—
1721C2×C4—222no—
1722C2×C4—222no—
1723C2×C4—221no—
1724C2×C4—221no—
1725C2×C4—221no—
1726C2×C4—221no—
1727C2×C4—221no—
1728C2×C4—221no—
1729C2×C4—221no—
1730C2×C4—221no—
1731C2×C4—221no—
1732C2×C4—221no—
1733C2×C4—441no—
1734C2×C4—442no—
1735C2×C4—442no—
1736C2×C4—442no—
1737C2×C4—442no—
1738C2×C4—442no—
1739C2×C4—442no—
1740C2×C4—442no—
1741C2×C4—442no—
1742C2×C4—442no—
1743C2×C4—442no—
1744C2×C4—442no—
1745C2×C4—881no—
1746C2×C4C2×D4×D1111yescharacteristic
1747C2×C4C2×D4×D1111yescharacteristic
1748C2×C4C2×D4×D1111yescharacteristic
1749C2×C4C2×D4×D1111yescharacteristic
1750C2×C4C24×D1111yescharacteristic
1751C8—21no—
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—221no—
1756C8—221no—
1757C8—221no—
1758C8—221no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—112no—
1769C22—221no—
1770C22—221no—
1771C22—221no—
1772C22—221no—
1773C22—221no—
1774C22—221no—
1775C22—222no—
1776C22—221no—
1777C22—221no—
1778C22—441no—
1779C22—441no—
1780C22—441no—
1781C22—441no—
1782C22—441no—
1783C22—882no—
1784C22—882no—
1785C22—884no—
1786C22—884no—
1787C22C22×D4×D1111yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—22no—
1792C4—21no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—112no—
1800C4—112no—
1801C4—221no—
1802C4—221no—
1803C4—221no—
1804C4—441no—
1805C4—441no—
1806C4—441no—
1807C4—441no—
1808C4—441no—
1809C4—441no—
1810C4C2×#41×D1111yescharacteristic
1811C4D11×H(5,𝔽2)11yescharacteristic
1812C2—41no—
1813C2—41no—
1814C2—81no—
1815C2—222no—
1816C2—441no—
1817C2—441no—
1818C2—442no—
1819C2—881no—
1820C2D11×#54611yescharacteristic
1821C2D11×#57511yescharacteristic
1822C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3313C2
socleC22×C11C23×D4
prime radical#13082105C2
hypercenter#3313D11
hypocenterC11#61165
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3313

Complements

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

NH ≅ G/Ntype
1. D11×#556C2semidirect
3. #13080895C2semidirect
4. #13080892C2semidirect
5. #13080845C2semidirect
6. #13080842C2semidirect
7. #13080687C2semidirect
8. #13080682C2semidirect
9. #13080679C2semidirect
10. #13080659C2semidirect
11. #13080654C2semidirect
12. #13080651C2semidirect
13. #13080646C2semidirect
14. #13080551C2semidirect
15. #13080548C2semidirect
16. #13080531C2semidirect
17. #13080528C2semidirect
18. #13079008C2semidirect
19. #13078548C2semidirect
20. #13078544C2semidirect
21. #13078430C2semidirect
22. #13078243C2semidirect
23. #13078241C2semidirect
24. #13078086C2semidirect
25. #13077875C2semidirect
26. #13077873C2semidirect
27. #13077432C2semidirect
28. #13077349C2semidirect
29. #13077134C2semidirect
30. #13077131C2semidirect
31. C11×#3313C2semidirect
34. C11×#556C22semidirect
39. C2×#66971C22semidirect
40. C2×#66968C22semidirect
41. C2×M16×D11C22semidirect
42. C22×#4313C22semidirect
43. #10623263C22semidirect
44. D11×C4⋊Q8C22semidirect
56. #10623172C22semidirect
61. D11×C22⋊Q8C22semidirect
62. D11×C22⋊Q8C22semidirect
67. #10623115C22semidirect
71. C4×Q8×D11C22semidirect
77. #10623073C22semidirect
79. #10623064C22semidirect
80. D11×#117C22semidirect
81. D11×#117C22semidirect
82. C11×#489C22semidirect
83. C11×#485C22semidirect
84. C11×#482C22semidirect
85. C11×#477C22semidirect
86. C11×#468C22semidirect
87. C11×#467C22semidirect
88. C11×#464C22semidirect
89. C11×#452C22semidirect
90. C11×#451C22semidirect
91. C11×#441C22semidirect
92. C11×#435C22semidirect
93. C11×#419C22semidirect
94. C11×#416C22semidirect
95. #10622852C22semidirect
96. #10622846C22semidirect
97. #10622841C22semidirect
98. #10622838C22semidirect
99. #10622802C22semidirect
100. #10622800C22semidirect
101. #10622800C22semidirect
102. #10622799C22semidirect
103. Q16×Dic11C22semidirect
104. #10622795C22semidirect
105. #10622784C22semidirect
106. #10622782C22semidirect
107. #10622776C22semidirect
108. #10622750C22semidirect
109. #10622744C22semidirect
111. #10622727C22semidirect
112. #10622726C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622702C22semidirect
115. #10622697C22semidirect
116. #10622668C22semidirect
117. #10622667C22semidirect
118. #10622665C22semidirect
119. #10622664C22semidirect
120. #10622661C22semidirect
121. #10622660C22semidirect
122. #10622659C22semidirect
123. #10622658C22semidirect
124. #10622655C22semidirect
125. #10622648C22semidirect
126. #10622643C22semidirect
127. #10622641C22semidirect
128. #10622639C22semidirect
129. #10622634C22semidirect
130. #10622624C22semidirect
131. #10622616C22semidirect
132. #10622615C22semidirect
133. #10622614C22semidirect
134. #10622609C22semidirect
135. #10622503C22semidirect
136. #10622503C22semidirect
137. #10622501C22semidirect
138. #10622500C22semidirect
139. #10622499C22semidirect
140. #10622498C22semidirect
141. #10622494C22semidirect
142. #10622494C22semidirect
143. #10622480C22semidirect
144. #10622479C22semidirect
145. #10622474C22semidirect
146. #10622465C22semidirect
147. #10622458C22semidirect
148. #10622455C22semidirect
149. #10622450C22semidirect
150. #10622449C22semidirect
151. #10622429C22semidirect
152. #10622428C22semidirect
153. #10622427C22semidirect
154. #10622426C22semidirect
155. #10622425C22semidirect
156. #10622423C22semidirect
157. #10622423C22semidirect
158. #10622421C22semidirect
159. #10622417C22semidirect
160. #10622417C22semidirect
161. #10622417C22semidirect
162. #10622417C22semidirect
166. #10622416C22semidirect
167. #10622416C22semidirect
168. #10622416C22semidirect
169. #10622415C22semidirect
170. #10622415C22semidirect
171. #10622415C22semidirect
172. #10622406C22semidirect
173. #10622405C22semidirect
174. #10622405C22semidirect
175. #10622404C22semidirect
176. #10622404C22semidirect
177. #10622403C22semidirect
178. #10622401C22semidirect
179. #10622397C22semidirect
180. #10622392C22semidirect
181. #10622391C22semidirect
182. #10622389C22semidirect
183. #10622384C22semidirect
184. #10622384C22semidirect
185. #10622384C22semidirect
186. #10622383C22semidirect
187. #10622383C22semidirect
188. #10622375C22semidirect
189. #10622373C22semidirect
190. #10622373C22semidirect
191. #10622350C22semidirect
192. #10622346C22semidirect
193. #10622344C22semidirect
195. #10622339C22semidirect
196. #10622339C22semidirect
197. (C22⋊D11)⋊C8C22semidirect
198. #10622336C22semidirect
199. #10622327C22semidirect
200. #10622323C22semidirect
201. #10622320C22semidirect
202. #10622319C22semidirect
731. #3313D11semidirect
897. #556C2×D11semidirect
932. #489C2×D11semidirect
944. #485C2×D11semidirect
952. #482C2×D11semidirect
954. #477C2×D11semidirect
968. #468C2×D11semidirect
972. #467C2×D11semidirect
980. #464C2×D11semidirect
992. #452C2×D11semidirect
996. #451C2×D11semidirect
1002. #441C2×D11semidirect
1014. #435C2×D11semidirect
1025. #419C2×D11semidirect
1046. #416C2×D11semidirect
1632. C11#61165semidirect

Maximal subgroups

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

subgroupindex
D11×#5562
#130821052
#130808952
#130808922
#130808452
#130808422
#130806872
#130806822
#130806792
#130806592
#130806542
#130806512
#130806462
#130805512
#130805482
#130805312
#130805282
#130790082
#130785482
#130785442
#130784302
#130782432
#130782412
#130780862
#130778752
#130778732
#130774322
#130773492
#130771342
#130771312
C11×#33132
#6116511