Finite Group Databasebeta

← #14922512

Subgroups — #14922512

Order 2816.

5758 conjugacy classes of subgroups.

The subgroup lattice has 1516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#41×D11C211yesmaximal, characteristic, complemented
2C2×#10623158C211yesmaximal, characteristic, complemented
3C2×#10623137C211yesmaximal, characteristic, complemented
4C2×C4×D4×D11C211yesmaximal, characteristic, complemented
5#13071979C211yesmaximal, characteristic, complemented
6#13071977C211yesmaximal, characteristic, complemented
7#13071970C211yesmaximal, characteristic, complemented
8#13071968C211yesmaximal, characteristic, complemented
9#13071962C211yesmaximal, characteristic, complemented
10#13071961C211yesmaximal, characteristic, complemented
11#13071955C211yesmaximal, characteristic, complemented
12#13071949C212yesmaximal, complemented
13#13071938C212yesmaximal, complemented
14#13071933C212yesmaximal, complemented
15#13071925C212yesmaximal, complemented
16#13071830C212yesmaximal, complemented
17#13071828C212yesmaximal, complemented
18#13071121C212yesmaximal, complemented
19#13071117C212yesmaximal, complemented
20#13071105C211yesmaximal, characteristic, complemented
21#13071103C211yesmaximal, characteristic, complemented
22#13070998C211yesmaximal, characteristic, complemented
23C11×#2407C211yesmaximal, characteristic, complemented
24C22×C11×#41C2211yescharacteristic, complemented
25C2×#41×D11—28no—
26C2×#41×D11—28no—
27C2×#41×D11—28no—
28C22×#4343C2211yescharacteristic
29C22×Q8×D11C2211yescharacteristic, complemented
30C22×#4341C2211yescharacteristic
31C22×#4341C2212yescomplemented
32C22×D4×D11C2212yes—
33C22×D4×D11C2211yescharacteristic
34C22×D4×D11C2211yescharacteristic, complemented
35C22×#4339C2212yes—
36C22×#4339C2211yescharacteristic, complemented
37C23×C4×D11C2211yescharacteristic
38C23×C4×D11C2211yescharacteristic, complemented
39C23×C4×D11C2212yescomplemented
40C2×C11×C22⋊Q8C2211yescharacteristic, complemented
41C2×C11×#121C2211yescharacteristic, complemented
42C2×C4×D4×C11C2211yescharacteristic, complemented
43C2×#66999C2211yescharacteristic, complemented
44C2×#66991C2211yescharacteristic, complemented
45C2×#66990C2212yes—
46C2×#66990C2212yescomplemented
47C2×D4×Dic11C2212yescomplemented
48C2×D4×Dic11C2211yescharacteristic, complemented
49C2×#66983C2211yescharacteristic, complemented
50C2×C4×C22⋊D11C2211yescharacteristic
51C2×C4×C22⋊D11C2211yescharacteristic, complemented
52C2×#66977C2211yescharacteristic, complemented
53#10623158—28no—
54#10623137—28no—
55C4×D4×D11—28no—
56C2×#66950C2211yescharacteristic, complemented
57C2×#66948C2211yescharacteristic, complemented
58C2×#66947C2212yescomplemented
59C2×#66946C2211yescharacteristic
60C2×#66946C2212yescomplemented
61C2×#66945C2211yescharacteristic, complemented
62C2×#66945C2211yescharacteristic, complemented
63C2×C4⋊C4×D11C2211yescharacteristic, complemented
64C2×#66936C2212yescomplemented
65C2×#66935C2212yes—
66C2×#66935C2212yescomplemented
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2212yescomplemented
69C2×(C22⋊D11)⋊C4C2212yescomplemented
70C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
71C2×C22⋊C4×D11C2211yescharacteristic
72C2×C22⋊C4×D11C2211yescharacteristic, complemented
73C2×C4×D44C2211yescharacteristic
74C2×C42×D11C2211yescharacteristic, complemented
75C11×#394C2212yescomplemented
76C11×#392C2212yescomplemented
77C11×#391C2211yescharacteristic, complemented
78C11×#390C2211yescharacteristic, complemented
79C11×#386C2212yescomplemented
80C11×#385C2212yescomplemented
81C11×#380C2211yescharacteristic, complemented
82#10622843C2211yescharacteristic, complemented
83#10622836C2212yescomplemented
84#10622836C2212yescomplemented
85#10622836C2212yescomplemented
86#10622835C2212yescomplemented
87#10622834C2211yescharacteristic, complemented
88#10622826C2212yescomplemented
89#10622825C2211yescharacteristic, complemented
90#10622823C2212yescomplemented
91#10622602C2212yescomplemented
92#10622602C2212yescomplemented
93#10622601C2211yescharacteristic, complemented
94#10622600C2211yescharacteristic, complemented
95#10622600C2211yescharacteristic, complemented
96#10622592C2212yescomplemented
97#10622587C2211yescharacteristic, complemented
98#10622574C2212yescomplemented
99#10622574C2212yescomplemented
100#10622573C2212yescomplemented
101#10622573C2212yescomplemented
102#10622572C2212yescomplemented
103#10622572C2212yescomplemented
104#10622569C2212yes—
105#10622569C2212yescomplemented
106#10622569C2212yescomplemented
107#10622569C2212yescomplemented
108#10622568C2212yes—
109#10622568C2212yescomplemented
110#10622568C2212yescomplemented
111#10622560C2212yescomplemented
112C22⋊C4×Dic11C2212yescomplemented
113C22⋊C4×Dic11C2212yescomplemented
114C22⋊C4×Dic11C2212yescomplemented
115#10622552C2211yescharacteristic, complemented
116#10622542C2211yescharacteristic, complemented
117#10622286C2212yescomplemented
118#10622281C2212yescomplemented
119#10622281C2212yescomplemented
120#10622279C2212yescomplemented
121#10622279C2212yescomplemented
122#10622279C2212yescomplemented
123#10622278C2212yes—
124#10622278C2212yescomplemented
125#10622278C2212yescomplemented
126#10622278C2212yescomplemented
127#10622277C2212yescomplemented
128#10622269C2212yescomplemented
129C24×D11C2311yescharacteristic
130C24×D11C2312yes—
131C24×D11C2311yescharacteristic
132C2×C11×#41—24no—
133C2×C11×#41—24no—
134C2×C11×#41—24no—
135C22×Q8×C11C2311yescharacteristic
136C22×D4×C11C2311yescharacteristic
137C22×D4×C11C2312yes—
138C22×D4×C11C2312yes—
139C22×D4×C11C2311yescharacteristic
140C23×C4×C11C2311yescharacteristic
141C23×C4×C11C2312yes—
142C23×C4×C11C2311yescharacteristic
143C22×C22⋊D11C2311yescharacteristic
144C22×C22⋊D11C2312yes—
145C22×C22⋊D11C2312yes—
146C22×C22⋊D11C2312yes—
147C22×C22⋊D11C2312yes—
148C22×C22⋊D11C2312yes—
149C22×C22⋊D11C2311yescharacteristic
150C23×Dic11C2311yescharacteristic
151C23×Dic11C2311yescharacteristic
152C23×Dic11C2312yes—
153#41×D11—2128no—
154C2×#4343—24no—
155C2×#4343—24no—
156C2×#4343D418yescomplemented
157C2×Q8×D11—24no—
158C2×Q8×D11—24no—
159C2×Q8×D11—24no—
160C2×#4341—28no—
161C2×#4341—28no—
162C2×#4341—24no—
163C2×#4341—24no—
164C2×#4341—28no—
165C2×#4341D418yescomplemented
166C2×D4×D11—24no—
167C2×D4×D11—28no—
168C2×D4×D11—24no—
169C2×D4×D11—28no—
170C2×D4×D11—24no—
171C2×D4×D11—28no—
172C2×D4×D11—24no—
173C2×D4×D11—24no—
174C2×D4×D11—24no—
175C2×#4339—24no—
176C2×#4339—28no—
177C2×#4339—28no—
178C2×#4339—24no—
179C2×#4339—28no—
180C2×#4339—24no—
181C22×D44C2312yes—
182C22×D44C2312yes—
183C22×D44C2311yescharacteristic
184C22×D44C2311yescharacteristic
185C22×C4×D11—28no—
186C22×C4×D11—24no—
187C22×C4×D11—24no—
188C22×C4×D11—28no—
189C22×C4×D11—28no—
190C22×C4×D11—24no—
191C22×C4×D11—24no—
192C22×C4×D11—24no—
193C22×C4×D11D418yescomplemented
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2312yes—
199C22×C4×D11C2312yes—
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2312yes—
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×Dic22C2312yes—
207C22×Dic22C2311yescharacteristic
208C11×C22⋊Q8—24no—
209C11×#121—24no—
210C4×D4×C11—24no—
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2312yes—
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2312yes—
218C2×C11×C22⋊C4C2312yes—
219C2×C11×C22⋊C4C2312yes—
220C2×C11×C22⋊C4C2312yes—
221C2×C11×C22⋊C4C2312yes—
222C2×C42×C11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2312yes—
226C2×C22⋊Dic11C2312yes—
227C2×C22⋊Dic11C2312yes—
228C2×C22⋊Dic11C2312yes—
229C2×C22⋊Dic11C2312yes—
230#66999—24no—
231#66991—24no—
232#66990—28no—
233#66990—28no—
234D4×Dic11—24no—
235D4×Dic11—28no—
236#66983—24no—
237C4×C22⋊D11—24no—
238C4×C22⋊D11—24no—
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2312yes—
244C2×(C2×D11)⋊C4C2312yes—
245C2×(C2×D11)⋊C4C2312yes—
246C2×(C2×D11)⋊C4C2312yes—
247C2×(C2×D11)⋊C4C2312yes—
248C2×(C2×D11)⋊C4C2312yes—
249C2×(C2×D11)⋊C4C2312yes—
250C2×(C2×D11)⋊C4C2312yes—
251C2×(C2×D11)⋊C4C2312yes—
252C2×(C2×D11)⋊C4C2312yes—
253C2×(C2×D11)⋊C4C2312yes—
254C2×(C2×D11)⋊C4C2312yes—
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2312yes—
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259#66977—24no—
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2312yes—
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2312yes—
264C2×C4×Dic11C2311yescharacteristic
265C2×C4×Dic11C2311yescharacteristic
266C2×C4×Dic11C2311yescharacteristic
267C2×C4×Dic11C2312yes—
268C2×C4×Dic11C2312yes—
269#66950—24no—
270#66948—24no—
271#66947—28no—
272#66946—24no—
273#66946—28no—
274#66945—24no—
275#66945—24no—
276C4⋊C4×D11—24no—
277#66936—28no—
278#66935—28no—
279#66935—28no—
280(C22⋊D11)⋊C4—24no—
281(C22⋊D11)⋊C4—28no—
282(C22⋊D11)⋊C4—24no—
283(C22⋊D11)⋊C4—28no—
284C22⋊C4×D11—24no—
285C22⋊C4×D11—24no—
286C4×D44—24no—
287C42×D11—24no—
288C11×#95C2312yes—
289C11×#95C2312yes—
290C11×#95C2312yes—
291C11⋊#95C2312yes—
292C11⋊#95C2312yes—
293C11⋊#95C2312yes—
294C11⋊#95C2312yes—
295C11⋊#95C2312yes—
296C11⋊#95C2312yes—
297C11⋊#95C2312yes—
298C11⋊#95C2312yes—
299C11⋊#95C2312yes—
300#34736—111nomaximal, Sylow
301C24×C11C2412yes—
302C24×C11C2411yescharacteristic
303C24×C11C2411yescharacteristic
304C23×D11—24no—
305C23×D11—22no—
306C23×D11—22no—
307C23×D11—24no—
308C23×D11—22no—
309C23×D11—22no—
310C23×D11—24no—
311C23×D11—22no—
312C23×D11—22no—
313C23×D11—22no—
314C23×D11—22no—
315C23×D11—22no—
316C23×D11—24no—
317C23×D11—24no—
318C23×D11—41no—
319C23×D11—41no—
320C23×D11—41no—
321C23×D11—41no—
322C23×D11—42no—
323C23×D11—42no—
324C23×D11C2×D414yes—
325C23×D11C2412yes—
326C23×D11C2411yescharacteristic
327C23×D11C2411yescharacteristic
328C23×D11C2411yescharacteristic
329C11×#41—232no—
330C2×Q8×C11—22no—
331C2×Q8×C11—22no—
332C2×Q8×C11C2×D414yescomplemented
333C2×D4×C11—22no—
334C2×D4×C11—24no—
335C2×D4×C11—24no—
336C2×D4×C11—22no—
337C2×D4×C11—24no—
338C2×D4×C11—24no—
339C2×D4×C11—24no—
340C2×D4×C11—22no—
341C2×D4×C11—22no—
342C2×D4×C11—22no—
343C2×D4×C11—42no—
344C2×D4×C11C2×D414yescomplemented
345C22×C4×C11—24no—
346C22×C4×C11—24no—
347C22×C4×C11—24no—
348C22×C4×C11—22no—
349C22×C4×C11—22no—
350C22×C4×C11—22no—
351C22×C4×C11—22no—
352C22×C4×C11—22no—
353C22×C4×C11C2×D414yes—
354C22×C4×C11C2412yes—
355C22×C4×C11C2411yescharacteristic
356C22×C4×C11C2412yes—
357C22×C4×C11C2411yescharacteristic
358C22×C4×C11C2412yes—
359C22×C4×C11C2411yescharacteristic
360C22×C4×C11C2411yescharacteristic
361C22×C4×C11C2411yescharacteristic
362C2×C22⋊D11—24no—
363C2×C22⋊D11—24no—
364C2×C22⋊D11—22no—
365C2×C22⋊D11—22no—
366C2×C22⋊D11—24no—
367C2×C22⋊D11—24no—
368C2×C22⋊D11—24no—
369C2×C22⋊D11—24no—
370C2×C22⋊D11—22no—
371C2×C22⋊D11—24no—
372C2×C22⋊D11—24no—
373C2×C22⋊D11—24no—
374C2×C22⋊D11—24no—
375C2×C22⋊D11—24no—
376C2×C22⋊D11—22no—
377C2×C22⋊D11—22no—
378C2×C22⋊D11—24no—
379C2×C22⋊D11—42no—
380C2×C22⋊D11—42no—
381C2×C22⋊D11C2×D418yes—
382C2×C22⋊D11#4114yescomplemented
383C22×Dic11—22no—
384C22×Dic11—22no—
385C22×Dic11—24no—
386C22×Dic11—24no—
387C22×Dic11—22no—
388C22×Dic11—22no—
389C22×Dic11—22no—
390C22×Dic11C2×D414yes—
391C22×Dic11C2×D418yescomplemented
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2412yes—
394C22×Dic11C2412yes—
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2412yes—
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400#4343—232no—
401Q8×D11—232no—
402#4341—264no—
403#4341—232no—
404D4×D11—232no—
405D4×D11—264no—
406D4×D11—232no—
407#4339—264no—
408#4339—232no—
409C2×D44—22no—
410C2×D44—24no—
411C2×D44—24no—
412C2×D44—24no—
413C2×D44—22no—
414C2×D44—24no—
415C2×D44—22no—
416C2×D44—22no—
417C2×D44—42no—
418C2×D44C2×D418yes—
419C2×D44C2×D414yescomplemented
420C2×D44#4114yescomplemented
421C2×C4×D11—264no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—24no—
425C2×C4×D11—24no—
426C2×C4×D11—24no—
427C2×C4×D11—24no—
428C2×C4×D11—22no—
429C2×C4×D11—232no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—24no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—24no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—24no—
443C2×C4×D11—24no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—416no—
453C2×C4×D11C2×D414yes—
454C2×C4×D11C2×D414yes—
455C2×C4×D11C2×D414yes—
456C2×C4×D11C2×D414yes—
457C2×C4×D11C2×D414yes—
458C2×C4×D11C2×D414yes—
459C2×C4×D11C2×D418yescomplemented
460C2×Dic22—24no—
461C2×Dic22—24no—
462C2×Dic22—24no—
463C2×Dic22—22no—
464C2×Dic22—22no—
465C2×Dic22C2×D414yescomplemented
466C11×C4⋊C4—22no—
467C11×C4⋊C4—22no—
468C11×C4⋊C4—22no—
469C11×C4⋊C4—24no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—24no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—24no—
474C11×C22⋊C4—24no—
475C11×C22⋊C4—42no—
476C11×C22⋊C4—42no—
477C42×C11—22no—
478C22⋊Dic11—22no—
479C22⋊Dic11—24no—
480C22⋊Dic11—24no—
481C22⋊Dic11—22no—
482C22⋊Dic11—24no—
483C22⋊Dic11—42no—
484C22⋊Dic11—42no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—24no—
487(C2×D11)⋊C4—24no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—24no—
491(C2×D11)⋊C4—24no—
492(C2×D11)⋊C4—24no—
493(C2×D11)⋊C4—24no—
494(C2×D11)⋊C4—24no—
495(C2×D11)⋊C4—24no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—24no—
498(C2×D11)⋊C4—24no—
499(C2×D11)⋊C4—42no—
500(C2×D11)⋊C4—42no—
501C4⋊Dic11—22no—
502C4⋊Dic11—24no—
503C4⋊Dic11—22no—
504C4⋊Dic11—22no—
505Dic11⋊C4—24no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—24no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—24no—
512C4×Dic11—24no—
513C4×Dic11—22no—
514C23×#41—111no—
515C2×#525—111no—
516C2×#525—111no—
517C22×C4×D4—111no—
518#2409—111no—
519#2409—111no—
520#2408—111no—
521#2408—111no—
522#2407—111no—
523#2407—111no—
524#2407—111no—
525#2407D1111yescharacteristic, complemented
526#2406—112no—
527#2405—112no—
528#2404—112no—
529#2403—112no—
530#2388—112no—
531#2388—112no—
532C4×#120—112no—
533C4×#120—112no—
534#2297—111no—
535#2297—111no—
536#2280—111no—
537C23×C11—21no—
538C23×C11—21no—
539C23×C11—21no—
540C23×C11—22no—
541C23×C11—21no—
542C23×C11—22no—
543C23×C11—21no—
544C23×C11—22no—
545C23×C11—22no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—22no—
551C23×C11—21no—
552C23×C11—22no—
553C23×C11—21no—
554C23×C11—21no—
555C23×C11C22×D412yes—
556C23×C11C22×D414yes—
557C23×C11C2×#4112yescomplemented
558C23×C11C2511yescharacteristic
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11—21no—
565C22×D11—21no—
566C22×D11—21no—
567C22×D11—216no—
568C22×D11—28no—
569C22×D11—21no—
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—22no—
573C22×D11—22no—
574C22×D11—22no—
575C22×D11—22no—
576C22×D11—21no—
577C22×D11—22no—
578C22×D11—22no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—28no—
582C22×D11—28no—
583C22×D11—44no—
584C22×D11—44no—
585C22×D11—44no—
586C22×D11—44no—
587C22×D11—44no—
588C22×D11—48no—
589C22×D11—48no—
590C22×D11—44no—
591C22×D11—44no—
592C22×D11—48no—
593C22×D11—48no—
594C22×D11—44no—
595C22×D11—44no—
596C22×D11—48no—
597C22×D11—44no—
598C22×D11—44no—
599C22×D11—48no—
600C22×D11C22×D414yes—
601C22×D11C22×D412yes—
602C22×D11C22×D412yes—
603C22×D11C22×D412yes—
604C22×D11C22×D412yes—
605C22×D11C2×#4112yes—
606C22×D11C2×#4112yes—
607C22×D11C2×#4112yescomplemented
608Q8×C11—28no—
609D4×C11—216no—
610D4×C11—28no—
611D4×C11—28no—
612D4×C11—48no—
613C2×C4×C11—216no—
614C2×C4×C11—21no—
615C2×C4×C11—22no—
616C2×C4×C11—22no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—28no—
621C2×C4×C11—22no—
622C2×C4×C11—21no—
623C2×C4×C11—22no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—22no—
628C2×C4×C11—22no—
629C2×C4×C11—21no—
630C2×C4×C11—22no—
631C2×C4×C11—21no—
632C2×C4×C11—22no—
633C2×C4×C11—44no—
634C2×C4×C11C22×D414yes—
635C2×C4×C11C22×D412yes—
636C2×C4×C11C22×D412yes—
637C2×C4×C11C22×D412yes—
638C2×C4×C11C22×D412yes—
639C2×C4×C11C2×#4112yescomplemented
640C22⋊D11—216no—
641C22⋊D11—216no—
642C22⋊D11—28no—
643C22⋊D11—216no—
644C22⋊D11—28no—
645C22⋊D11—48no—
646C22⋊D11—48no—
647C2×Dic11—21no—
648C2×Dic11—22no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—22no—
652C2×Dic11—21no—
653C2×Dic11—28no—
654C2×Dic11—216no—
655C2×Dic11—21no—
656C2×Dic11—22no—
657C2×Dic11—22no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—22no—
662C2×Dic11—22no—
663C2×Dic11—21no—
664C2×Dic11—22no—
665C2×Dic11—21no—
666C2×Dic11—22no—
667C2×Dic11—44no—
668C2×Dic11C22×D412yes—
669C2×Dic11C22×D414yes—
670C2×Dic11C22×D412yes—
671C2×Dic11C22×D412yes—
672C2×Dic11C22×D412yes—
673C2×Dic11C2×#4112yescomplemented
674D44—216no—
675D44—28no—
676D44—28no—
677D44—48no—
678C4×D11—216no—
679C4×D11—216no—
680C4×D11—28no—
681C4×D11—28no—
682C4×D11—28no—
683C4×D11—28no—
684C4×D11—216no—
685C4×D11—44no—
686C4×D11—44no—
687C4×D11—44no—
688C4×D11—44no—
689C4×D11#120116yescomplemented
690Dic22—216no—
691Dic22—28no—
692C22×#41—111no—
693C22×#41—111no—
694C22×#41—112no—
695C22×#41—112no—
696C22×#41—111no—
697C22×#41—228no—
698C22×#41—228no—
699C22×#41—228no—
700C22×#41C2×D1111yescharacteristic, complemented
701C23×Q8—111no—
702C23×D4—112no—
703C23×D4—111no—
704C23×D4—111no—
705C24×C4—111no—
706C24×C4—112no—
707C24×C4—111no—
708#525—228no—
709#525—228no—
710C2×#123—112no—
711C2×#123—112no—
712C2×C22⋊Q8—111no—
713C2×C22⋊Q8—111no—
714C2×C22⋊Q8—111no—
715C2×C22⋊Q8C2×D1111yescharacteristic, complemented
716C2×#121—111no—
717C2×#121—111no—
718C2×#121—111no—
719C2×#121C2×D1111yescharacteristic, complemented
720C2×#120—112no—
721C2×#120—112no—
722C2×#120—112no—
723C2×#120—112no—
724C2×C4×D4—111no—
725C2×C4×D4—112no—
726C2×C4×D4—111no—
727C2×C4×D4—111no—
728C2×C4×D4—111no—
729C2×C4×D4—112no—
730C2×C4×D4—111no—
731C2×C4×D4—111no—
732C2×C4×D4—112no—
733C2×C4×D4—112no—
734C2×C4×D4—111no—
735C2×C4×D4—228no—
736C2×C4×D4C2×D1111yescharacteristic, complemented
737C2×#117—111no—
738C2×#117—111no—
739C22×C4⋊C4—111no—
740C22×C22⋊C4—111no—
741C22×C22⋊C4—111no—
742C22×C42—111no—
743#395—112no—
744#395—112no—
745#394—112no—
746#394—112no—
747#394—112no—
748#394—112no—
749#394—112no—
750#394C2×D1112yescomplemented
751#393—112no—
752#393—112no—
753#392—112no—
754#392—112no—
755#392—112no—
756#392—112no—
757#392—112no—
758#392C2×D1112yescomplemented
759#391—111no—
760#391—111no—
761#391—111no—
762#391C2×D1111yescharacteristic, complemented
763#390—111no—
764#390—111no—
765#390—111no—
766#390C2×D1111yescharacteristic, complemented
767#386—112no—
768#386—112no—
769#386—112no—
770#386—112no—
771#386—112no—
772#386—112no—
773#386—112no—
774#386—112no—
775#386—112no—
776#386C2×D1112yescomplemented
777#385—112no—
778#385—112no—
779#385—112no—
780#385—112no—
781#385—112no—
782#385C2×D1112yescomplemented
783#381—112no—
784#380—111no—
785#380—111no—
786#380—111no—
787#380C2×D1111yescharacteristic, complemented
788#379—112no—
789#379—112no—
790#379—112no—
791C4×C22⋊C4—112no—
792C4×C22⋊C4—112no—
793C4×C22⋊C4—112no—
794C4×C22⋊C4—112no—
795C4×C22⋊C4—112no—
796C4×C22⋊C4—112no—
797C22×C11—24no—
798C22×C11—22no—
799C22×C11—22no—
800C22×C11—22no—
801C22×C11—22no—
802C22×C11—22no—
803C22×C11—24no—
804C22×C11—24no—
805C22×C11—22no—
806C22×C11—41no—
807C22×C11—42no—
808C22×C11—41no—
809C22×C11—42no—
810C22×C11—41no—
811C22×C11—41no—
812C22×C11—41no—
813C22×C11—42no—
814C22×C11—41no—
815C22×C11—41no—
816C22×C11—42no—
817C22×C11—41no—
818C22×C11C23×D411yescharacteristic
819C22×C11C23×D411yescharacteristic
820C22×C11C23×D411yescharacteristic
821C22×C11C22×#4111yescharacteristic
822C22×C11C22×#4111yescharacteristic
823C22×C11#58511yescharacteristic
824C22×C11#58511yescharacteristic
825C2×D11—22no—
826C2×D11—22no—
827C2×D11—22no—
828C2×D11—22no—
829C2×D11—22no—
830C2×D11—22no—
831C2×D11—22no—
832C2×D11—22no—
833C2×D11—22no—
834C2×D11—22no—
835C2×D11—22no—
836C2×D11—22no—
837C2×D11—24no—
838C2×D11—22no—
839C2×D11—24no—
840C2×D11—24no—
841C2×D11—22no—
842C2×D11—22no—
843C2×D11—416no—
844C2×D11—432no—
845C2×D11—416no—
846C2×D11—41no—
847C2×D11—42no—
848C2×D11—41no—
849C2×D11—42no—
850C2×D11—41no—
851C2×D11—42no—
852C2×D11—42no—
853C2×D11—41no—
854C2×D11C2×#12014yes—
855C2×D11#52514yescomplemented
856C4×C11—22no—
857C4×C11—24no—
858C4×C11—22no—
859C4×C11—41no—
860C4×C11—41no—
861C4×C11—42no—
862C4×C11—42no—
863C4×C11C2×#12014yes—
864Dic11—22no—
865Dic11—24no—
866Dic11—22no—
867Dic11—41no—
868Dic11—41no—
869Dic11—42no—
870Dic11—42no—
871Dic11C2×#12014yes—
872C25—111no—
873C25—111no—
874C25—112no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—118no—
879C2×#41—118no—
880C2×#41—228no—
881C2×#41—228no—
882C2×#41—228no—
883C2×#41—224no—
884C2×#41—224no—
885C2×#41—224no—
886C2×#41—224no—
887C2×#41—228no—
888C2×#41—228no—
889C2×#41—228no—
890C2×#41—224no—
891C2×#41—224no—
892C2×#41—22128no—
893C2×#41—224no—
894C22×Q8—111no—
895C22×Q8—112no—
896C22×Q8—224no—
897C22×Q8—224no—
898C22×Q8—224no—
899C22×Q8C22×D1111yescharacteristic
900C22×D4—111no—
901C22×D4—112no—
902C22×D4—111no—
903C22×D4—112no—
904C22×D4—112no—
905C22×D4—112no—
906C22×D4—112no—
907C22×D4—111no—
908C22×D4—112no—
909C22×D4—111no—
910C22×D4—112no—
911C22×D4—224no—
912C22×D4—228no—
913C22×D4—228no—
914C22×D4—224no—
915C22×D4—224no—
916C22×D4—224no—
917C22×D4—224no—
918C22×D4—228no—
919C22×D4—224no—
920C22×D4C22×D1111yescharacteristic
921C22×D4C22×D1112yes—
922C22×D4C22×D1112yes—
923C22×D4C22×D1111yescharacteristic
924C23×C4—111no—
925C23×C4—111no—
926C23×C4—112no—
927C23×C4—118no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—112no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—112no—
938C23×C4—112no—
939C23×C4—111no—
940C23×C4—228no—
941C23×C4—224no—
942C23×C4—224no—
943C23×C4—228no—
944C23×C4—228no—
945C23×C4—224no—
946C23×C4—224no—
947C23×C4—224no—
948C23×C4C22×D1111yescharacteristic
949C23×C4C22×D1112yes—
950C23×C4C22×D1111yescharacteristic
951#123—228no—
952#123—228no—
953C22⋊Q8—24no—
954C22⋊Q8—224no—
955C22⋊Q8—224no—
956C22⋊Q8—224no—
957#121—24no—
958#121—224no—
959#121—224no—
960#121—224no—
961#120—228no—
962#120—228no—
963#120—228no—
964#120—228no—
965C4×D4—24no—
966C4×D4—224no—
967C4×D4—224no—
968C4×D4—224no—
969C4×D4—228no—
970C4×D4—228no—
971C4×D4—224no—
972C4×D4—228no—
973C4×D4—224no—
974C4×D4—224no—
975C4×D4—228no—
976C4×D4—224no—
977#117—224no—
978#117—224no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—112no—
985C2×C4⋊C4—112no—
986C2×C4⋊C4—112no—
987C2×C4⋊C4—224no—
988C2×C4⋊C4C22×D1111yescharacteristic
989C2×C4⋊C4C22×D1111yescharacteristic
990C2×C4⋊C4C22×D1111yescharacteristic
991C2×C4⋊C4C22×D1112yes—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—112no—
995C2×C22⋊C4—112no—
996C2×C22⋊C4—112no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—112no—
1002C2×C22⋊C4—112no—
1003C2×C22⋊C4—112no—
1004C2×C22⋊C4—112no—
1005C2×C22⋊C4—112no—
1006C2×C22⋊C4—112no—
1007C2×C22⋊C4—112no—
1008C2×C22⋊C4—112no—
1009C2×C22⋊C4—112no—
1010C2×C22⋊C4—112no—
1011C2×C22⋊C4—112no—
1012C2×C22⋊C4—112no—
1013C2×C22⋊C4—112no—
1014C2×C22⋊C4—112no—
1015C2×C22⋊C4—224no—
1016C2×C22⋊C4—224no—
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C22⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1112yes—
1020C2×C22⋊C4C22×D1112yes—
1021C2×C22⋊C4C22×D1112yes—
1022C2×C22⋊C4C22×D1112yes—
1023C2×C22⋊C4C22×D1112yes—
1024C2×C42—112no—
1025C2×C42—112no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—224no—
1030C2×C42C22×D1111yescharacteristic
1031#95—112no—
1032#95—112no—
1033#95—112no—
1034#95—112no—
1035#95—112no—
1036#95—112no—
1037#95—112no—
1038#95—112no—
1039#95—112no—
1040#95C22×D1112yes—
1041#95C22×D1112yes—
1042#95C22×D1112yes—
1043C2×C11—42no—
1044C2×C11—44no—
1045C2×C11—42no—
1046C2×C11C22×#12011yescharacteristic
1047C2×C11C2×#52511yescharacteristic
1048C2×C11#344911yescharacteristic
1049C2×C11D4×#4111yescharacteristic
1050C2×C11D4×#4111yescharacteristic
1051C2×C11D4×#4111yescharacteristic
1052C2×C11D4×#4111yescharacteristic
1053D11—24no—
1054D11—24no—
1055D11—44no—
1056D11—42no—
1057C24—111no—
1058C24—111no—
1059C24—112no—
1060C24—111no—
1061C24—114no—
1062C24—222no—
1063C24—224no—
1064C24—222no—
1065C24—222no—
1066C24—224no—
1067C24—222no—
1068C24—222no—
1069C24—222no—
1070C24—222no—
1071C24—222no—
1072C24—224no—
1073C24—224no—
1074C24—224no—
1075C24—222no—
1076C24—441no—
1077C24—442no—
1078C24—441no—
1079C24—441no—
1080C24—442no—
1081C24—441no—
1082C24C23×D1112yes—
1083C24C23×D1111yescharacteristic
1084C24C23×D1111yescharacteristic
1085#41—232no—
1086#41—2264no—
1087#41—2232no—
1088#41—2232no—
1089#41—2232no—
1090#41—2264no—
1091C2×Q8—22no—
1092C2×Q8—22no—
1093C2×Q8—114no—
1094C2×Q8—224no—
1095C2×Q8—224no—
1096C2×Q8—2232no—
1097C2×Q8—224no—
1098C2×Q8—222no—
1099C2×Q8—222no—
1100C2×Q8D4×D1114yescomplemented
1101C2×D4—22no—
1102C2×D4—24no—
1103C2×D4—24no—
1104C2×D4—22no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—42no—
1112C2×D4—118no—
1113C2×D4—114no—
1114C2×D4—118no—
1115C2×D4—114no—
1116C2×D4—114no—
1117C2×D4—222no—
1118C2×D4—224no—
1119C2×D4—224no—
1120C2×D4—222no—
1121C2×D4—224no—
1122C2×D4—224no—
1123C2×D4—224no—
1124C2×D4—224no—
1125C2×D4—222no—
1126C2×D4—2264no—
1127C2×D4—2232no—
1128C2×D4—2232no—
1129C2×D4—222no—
1130C2×D4—224no—
1131C2×D4—224no—
1132C2×D4—224no—
1133C2×D4—224no—
1134C2×D4—222no—
1135C2×D4—222no—
1136C2×D4—222no—
1137C2×D4—224no—
1138C2×D4—224no—
1139C2×D4—224no—
1140C2×D4—224no—
1141C2×D4—224no—
1142C2×D4—224no—
1143C2×D4—222no—
1144C2×D4—222no—
1145C2×D4—442no—
1146C2×D4—442no—
1147C2×D4—442no—
1148C2×D4D4×D1114yescomplemented
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—111no—
1158C22×C4—114no—
1159C22×C4—114no—
1160C22×C4—114no—
1161C22×C4—114no—
1162C22×C4—118no—
1163C22×C4—111no—
1164C22×C4—111no—
1165C22×C4—112no—
1166C22×C4—114no—
1167C22×C4—114no—
1168C22×C4—114no—
1169C22×C4—118no—
1170C22×C4—111no—
1171C22×C4—112no—
1172C22×C4—112no—
1173C22×C4—111no—
1174C22×C4—222no—
1175C22×C4—222no—
1176C22×C4—224no—
1177C22×C4—224no—
1178C22×C4—224no—
1179C22×C4—224no—
1180C22×C4—2232no—
1181C22×C4—222no—
1182C22×C4—222no—
1183C22×C4—222no—
1184C22×C4—222no—
1185C22×C4—222no—
1186C22×C4—224no—
1187C22×C4—222no—
1188C22×C4—222no—
1189C22×C4—224no—
1190C22×C4—2264no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—222no—
1195C22×C4—224no—
1196C22×C4—222no—
1197C22×C4—222no—
1198C22×C4—224no—
1199C22×C4—222no—
1200C22×C4—222no—
1201C22×C4—222no—
1202C22×C4—224no—
1203C22×C4—222no—
1204C22×C4—222no—
1205C22×C4—224no—
1206C22×C4—222no—
1207C22×C4—222no—
1208C22×C4—222no—
1209C22×C4—222no—
1210C22×C4—441no—
1211C22×C4—441no—
1212C22×C4—4416no—
1213C22×C4D4×D1114yes—
1214C22×C4C23×D1112yes—
1215C22×C4C23×D1111yescharacteristic
1216C22×C4C23×D1112yes—
1217C22×C4C23×D1111yescharacteristic
1218C22×C4C23×D1111yescharacteristic
1219C22×C4C23×D1112yes—
1220C22×C4C23×D1111yescharacteristic
1221C22×C4C23×D1111yescharacteristic
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—222no—
1227C4⋊C4—222no—
1228C4⋊C4—224no—
1229C4⋊C4—224no—
1230C4⋊C4—222no—
1231C4⋊C4—222no—
1232C4⋊C4—222no—
1233C4⋊C4—224no—
1234C22⋊C4—22no—
1235C22⋊C4—24no—
1236C22⋊C4—22no—
1237C22⋊C4—24no—
1238C22⋊C4—24no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—222no—
1242C22⋊C4—224no—
1243C22⋊C4—224no—
1244C22⋊C4—222no—
1245C22⋊C4—222no—
1246C22⋊C4—224no—
1247C22⋊C4—224no—
1248C22⋊C4—224no—
1249C22⋊C4—224no—
1250C22⋊C4—224no—
1251C22⋊C4—224no—
1252C22⋊C4—222no—
1253C22⋊C4—224no—
1254C22⋊C4—224no—
1255C22⋊C4—222no—
1256C22⋊C4—224no—
1257C22⋊C4—222no—
1258C22⋊C4—224no—
1259C22⋊C4—224no—
1260C22⋊C4—442no—
1261C22⋊C4—442no—
1262C22⋊C4—442no—
1263C22⋊C4—442no—
1264C42—22no—
1265C42—222no—
1266C42—222no—
1267C42—224no—
1268C42—224no—
1269C42—222no—
1270C11#3473611yescharacteristic, complemented, Sylow
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—22no—
1275C23—21no—
1276C23—22no—
1277C23—21no—
1278C23—22no—
1279C23—22no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—22no—
1285C23—21no—
1286C23—21no—
1287C23—22no—
1288C23—21no—
1289C23—112no—
1290C23—112no—
1291C23—112no—
1292C23—112no—
1293C23—112no—
1294C23—112no—
1295C23—114no—
1296C23—112no—
1297C23—228no—
1298C23—228no—
1299C23—2216no—
1300C23—228no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—222no—
1313C23—222no—
1314C23—222no—
1315C23—222no—
1316C23—221no—
1317C23—222no—
1318C23—221no—
1319C23—222no—
1320C23—221no—
1321C23—444no—
1322C23—444no—
1323C23—448no—
1324C23—448no—
1325C23—444no—
1326C23—444no—
1327C23—448no—
1328C23—444no—
1329C23—444no—
1330C23—444no—
1331C23—444no—
1332C23—448no—
1333C23—444no—
1334C23—448no—
1335C23—444no—
1336C23—444no—
1337C23—448no—
1338C23C2×D4×D1114yes—
1339C23C2×D4×D1112yes—
1340C23#41×D1112yescomplemented
1341C23C24×D1111yescharacteristic
1342Q8—28no—
1343Q8—2216no—
1344Q8—228no—
1345D4—28no—
1346D4—216no—
1347D4—28no—
1348D4—48no—
1349D4—2216no—
1350D4—228no—
1351D4—2216no—
1352D4—228no—
1353D4—2216no—
1354D4—2216no—
1355D4—228no—
1356D4—228no—
1357D4—448no—
1358D4—448no—
1359D4—448no—
1360C2×C4—216no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—21no—
1367C2×C4—28no—
1368C2×C4—21no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—21no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—21no—
1380C2×C4—44no—
1381C2×C4—112no—
1382C2×C4—112no—
1383C2×C4—112no—
1384C2×C4—1116no—
1385C2×C4—112no—
1386C2×C4—114no—
1387C2×C4—112no—
1388C2×C4—228no—
1389C2×C4—2216no—
1390C2×C4—228no—
1391C2×C4—2216no—
1392C2×C4—2216no—
1393C2×C4—228no—
1394C2×C4—228no—
1395C2×C4—2216no—
1396C2×C4—221no—
1397C2×C4—222no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—222no—
1401C2×C4—221no—
1402C2×C4—228no—
1403C2×C4—221no—
1404C2×C4—222no—
1405C2×C4—222no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—222no—
1410C2×C4—222no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—222no—
1414C2×C4—222no—
1415C2×C4—444no—
1416C2×C4—444no—
1417C2×C4—444no—
1418C2×C4—444no—
1419C2×C4—444no—
1420C2×C4C2×D4×D1112yes—
1421C2×C4C2×D4×D1114yes—
1422C2×C4C2×D4×D1112yes—
1423C2×C4C2×D4×D1112yes—
1424C2×C4C2×D4×D1112yes—
1425C2×C4#41×D1112yescomplemented
1426C22—22no—
1427C22—24no—
1428C22—22no—
1429C22—22no—
1430C22—24no—
1431C22—24no—
1432C22—22no—
1433C22—22no—
1434C22—22no—
1435C22—41no—
1436C22—42no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—42no—
1442C22—41no—
1443C22—41no—
1444C22—42no—
1445C22—41no—
1446C22—42no—
1447C22—114no—
1448C22—114no—
1449C22—222no—
1450C22—222no—
1451C22—222no—
1452C22—222no—
1453C22—222no—
1454C22—222no—
1455C22—222no—
1456C22—222no—
1457C22—222no—
1458C22—222no—
1459C22—222no—
1460C22—222no—
1461C22—224no—
1462C22—222no—
1463C22—224no—
1464C22—222no—
1465C22—224no—
1466C22—222no—
1467C22—4416no—
1468C22—4432no—
1469C22—4416no—
1470C22—441no—
1471C22—442no—
1472C22—441no—
1473C22—441no—
1474C22—442no—
1475C22—442no—
1476C22—441no—
1477C22—442no—
1478C22C22×D4×D1111yescharacteristic
1479C22C22×D4×D1111yescharacteristic
1480C22C22×D4×D1111yescharacteristic
1481C22C2×#41×D1111yescharacteristic
1482C22C2×#41×D1111yescharacteristic
1483C22#1062345511yescharacteristic
1484C22#1062345711yescharacteristic
1485C4—22no—
1486C4—24no—
1487C4—22no—
1488C4—41no—
1489C4—41no—
1490C4—42no—
1491C4—42no—
1492C4—114no—
1493C4—222no—
1494C4—224no—
1495C4—222no—
1496C4—441no—
1497C4—441no—
1498C4—442no—
1499C4—442no—
1500C4D11×#12014yes—
1501C2—42no—
1502C2—44no—
1503C2—42no—
1504C2—224no—
1505C2—224no—
1506C2—444no—
1507C2—442no—
1508C2C2×D11×#12011yescharacteristic
1509C2D11×#52511yescharacteristic
1510C2#1308194411yescharacteristic
1511C2#1308210011yescharacteristic
1512C2#1308210311yescharacteristic
1513C2#1308210511yescharacteristic
1514C2#1308210611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2407C2
hypercenter#2407D11
hypocenterC11#34736
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2407

Complements

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

NH ≅ G/Ntype
1. C22×#41×D11C2semidirect
2. C2×#10623158C2semidirect
3. C2×#10623137C2semidirect
4. C2×C4×D4×D11C2semidirect
5. #13071979C2semidirect
6. #13071977C2semidirect
7. #13071970C2semidirect
8. #13071968C2semidirect
9. #13071962C2semidirect
10. #13071961C2semidirect
11. #13071955C2semidirect
12. #13071949C2semidirect
13. #13071938C2semidirect
14. #13071933C2semidirect
15. #13071925C2semidirect
16. #13071830C2semidirect
17. #13071828C2semidirect
18. #13071121C2semidirect
19. #13071117C2semidirect
20. #13071105C2semidirect
21. #13071103C2semidirect
22. #13070998C2semidirect
23. C11×#2407C2semidirect
24. C22×C11×#41C22semidirect
29. C22×Q8×D11C22semidirect
31. C22×#4341C22semidirect
34. C22×D4×D11C22semidirect
36. C22×#4339C22semidirect
38. C23×C4×D11C22semidirect
39. C23×C4×D11C22semidirect
40. C2×C11×C22⋊Q8C22semidirect
41. C2×C11×#121C22semidirect
42. C2×C4×D4×C11C22semidirect
43. C2×#66999C22semidirect
44. C2×#66991C22semidirect
46. C2×#66990C22semidirect
47. C2×D4×Dic11C22semidirect
48. C2×D4×Dic11C22semidirect
49. C2×#66983C22semidirect
51. C2×C4×C22⋊D11C22semidirect
52. C2×#66977C22semidirect
56. C2×#66950C22semidirect
57. C2×#66948C22semidirect
58. C2×#66947C22semidirect
60. C2×#66946C22semidirect
61. C2×#66945C22semidirect
62. C2×#66945C22semidirect
63. C2×C4⋊C4×D11C22semidirect
64. C2×#66936C22semidirect
66. C2×#66935C22semidirect
68. C2×(C22⋊D11)⋊C4C22semidirect
69. C2×(C22⋊D11)⋊C4C22semidirect
70. C2×(C22⋊D11)⋊C4C22semidirect
72. C2×C22⋊C4×D11C22semidirect
74. C2×C42×D11C22semidirect
75. C11×#394C22semidirect
76. C11×#392C22semidirect
77. C11×#391C22semidirect
78. C11×#390C22semidirect
79. C11×#386C22semidirect
80. C11×#385C22semidirect
81. C11×#380C22semidirect
82. #10622843C22semidirect
83. #10622836C22semidirect
84. #10622836C22semidirect
85. #10622836C22semidirect
86. #10622835C22semidirect
87. #10622834C22semidirect
88. #10622826C22semidirect
89. #10622825C22semidirect
90. #10622823C22semidirect
91. #10622602C22semidirect
92. #10622602C22semidirect
93. #10622601C22semidirect
94. #10622600C22semidirect
95. #10622600C22semidirect
96. #10622592C22semidirect
97. #10622587C22semidirect
98. #10622574C22semidirect
99. #10622574C22semidirect
100. #10622573C22semidirect
101. #10622573C22semidirect
102. #10622572C22semidirect
103. #10622572C22semidirect
105. #10622569C22semidirect
106. #10622569C22semidirect
107. #10622569C22semidirect
109. #10622568C22semidirect
110. #10622568C22semidirect
111. #10622560C22semidirect
112. C22⋊C4×Dic11C22semidirect
113. C22⋊C4×Dic11C22semidirect
114. C22⋊C4×Dic11C22semidirect
115. #10622552C22semidirect
116. #10622542C22semidirect
117. #10622286C22semidirect
118. #10622281C22semidirect
119. #10622281C22semidirect
120. #10622279C22semidirect
121. #10622279C22semidirect
122. #10622279C22semidirect
124. #10622278C22semidirect
125. #10622278C22semidirect
126. #10622278C22semidirect
127. #10622277C22semidirect
128. #10622269C22semidirect
156. C2×#4343D4semidirect
165. C2×#4341D4semidirect
193. C22×C4×D11D4semidirect
332. C2×Q8×C11C2×D4semidirect
344. C2×D4×C11C2×D4semidirect
382. C2×C22⋊D11#41semidirect
391. C22×Dic11C2×D4semidirect
419. C2×D44C2×D4semidirect
420. C2×D44#41semidirect
459. C2×C4×D11C2×D4semidirect
465. C2×Dic22C2×D4semidirect
525. #2407D11semidirect
557. C23×C11C2×#41semidirect
607. C22×D11C2×#41semidirect
639. C2×C4×C11C2×#41semidirect
673. C2×Dic11C2×#41semidirect
689. C4×D11#120semidirect
700. C22×#41C2×D11semidirect
715. C2×C22⋊Q8C2×D11semidirect
719. C2×#121C2×D11semidirect
736. C2×C4×D4C2×D11semidirect
750. #394C2×D11semidirect
758. #392C2×D11semidirect
762. #391C2×D11semidirect
766. #390C2×D11semidirect
776. #386C2×D11semidirect
782. #385C2×D11semidirect
787. #380C2×D11semidirect
855. C2×D11#525semidirect
1100. C2×Q8D4×D11semidirect
1148. C2×D4D4×D11semidirect
1270. C11#34736semidirect
1340. C23#41×D11semidirect
1425. C2×C4#41×D11semidirect

Maximal subgroups

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

subgroupindex
C22×#41×D112
C2×#106231582
C2×#106231372
C2×C4×D4×D112
#130719792
#130719772
#130719702
#130719682
#130719622
#130719612
#130719552
#130719492
#130719382
#130719332
#130719252
#130718302
#130718282
#130711212
#130711172
#130711052
#130711032
#130709982
C11×#24072
#3473611