Finite Group Databasebeta

← #15617093

Subgroups — #15617093

Order 2816.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076592C211yesmaximal, characteristic, complemented
2#13076576C211yesmaximal, characteristic, complemented
3#13075631C211yesmaximal, characteristic, complemented
4#13074982C211yesmaximal, characteristic, complemented
5#13074295C211yesmaximal, characteristic, complemented
6#13074292C211yesmaximal, characteristic, complemented
7#13074211C211yesmaximal, characteristic, complemented
8#13074207C211yesmaximal, characteristic, complemented
9#13073895C211yesmaximal, characteristic, complemented
10#13073887C211yesmaximal, characteristic, complemented
11#13073676C211yesmaximal, characteristic, complemented
12#13073670C211yesmaximal, characteristic, complemented
13#13073667C211yesmaximal, characteristic, complemented
14#13073665C211yesmaximal, characteristic, complemented
15#13072809C211yesmaximal, characteristic, complemented
16#13072802C211yesmaximal, characteristic, complemented
17#13072734C211yesmaximal, characteristic, complemented
18#13072727C211yesmaximal, characteristic, complemented
19#13072226C211yesmaximal, characteristic, complemented
20#13072225C211yesmaximal, characteristic, complemented
21#13071964C211yesmaximal, characteristic, complemented
22#13071963C211yesmaximal, characteristic, complemented
23#13071695C211yesmaximal, characteristic, complemented
24#13071655C211yesmaximal, characteristic, complemented
25#13071652C211yesmaximal, characteristic, complemented
26#13071613C211yesmaximal, characteristic, complemented
27#13071604C211yesmaximal, characteristic, complemented
28#13071105C211yesmaximal, characteristic, complemented
29#13071102C211yesmaximal, characteristic, complemented
30#13071096C211yesmaximal, characteristic, complemented
31C11×#2368C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C2×C11×C22⋊Q8C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66983C2211yescharacteristic
37C2×#66983C2211yescharacteristic
38C2×#66982C2211yescharacteristic
39C2×#66982C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×#66979C2211yescharacteristic
42C2×#66951C2211yescharacteristic
43C2×#66948C2211yescharacteristic
44C2×#66947C2211yescharacteristic
45C2×#66947C2211yescharacteristic
46C2×#66945C2211yescharacteristic
47C2×#66937C2211yescharacteristic
48C2×#66929C2211yescharacteristic
49C2×C4×D44C2211yescharacteristic
50C2×#66925C2211yescharacteristic
51C2×#66925C2211yescharacteristic
52C2×#66925C2211yescharacteristic
53C2×#66925C2211yescharacteristic
54C2×C42×D11C2211yescharacteristic
55C11×#391C2211yescharacteristic
56C11×#391C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#387C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C11×#385C2211yescharacteristic
62C11×#385C2211yescharacteristic
63C4×C11×C4⋊C4C2211yescharacteristic
64C4×C11×C4⋊C4C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66C4×C11×C22⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68C2×C11×#95C2211yescharacteristic
69#10622843C2211yescharacteristic
70#10622843C2211yescharacteristic
71#10622826C2211yescharacteristic
72#10622826C2211yescharacteristic
73#10622826C2211yescharacteristic
74#10622823C2211yescharacteristic
75C4×C22⋊Dic11C2211yescharacteristic
76#10622607C2211yescharacteristic
77#10622607C2211yescharacteristic
78#10622607C2211yescharacteristic
79#10622605C2211yescharacteristic
80#10622604C2211yescharacteristic
81#10622604C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622602C2211yescharacteristic
86#10622602C2211yescharacteristic
87#10622601C2211yescharacteristic
88#10622601C2211yescharacteristic
89#10622600C2211yescharacteristic
90#10622600C2211yescharacteristic
91#10622597C2211yescharacteristic
92#10622596C2211yescharacteristic
93#10622594C2211yescharacteristic
94#10622593C2211yescharacteristic
95#10622592C2211yescharacteristic
96#10622591C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622585C2211yescharacteristic
99#10622573C2211yescharacteristic
100#10622573C2211yescharacteristic
101#10622572C2211yescharacteristic
102#10622572C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622570C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622564C2211yescharacteristic
112#10622562C2211yescharacteristic
113#10622561C2211yescharacteristic
114#10622553C2211yescharacteristic
115#10622553C2211yescharacteristic
116#10622553C2211yescharacteristic
117#10622553C2211yescharacteristic
118#10622553C2211yescharacteristic
119#10622553C2211yescharacteristic
120#10622552C2211yescharacteristic
121#10622552C2211yescharacteristic
122#10622552C2211yescharacteristic
123#10622552C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic
126C4×C4⋊Dic11C2211yescharacteristic
127#10622546C2211yescharacteristic
128C4×Dic11⋊C4C2211yescharacteristic
129C4×Dic11⋊C4C2211yescharacteristic
130#10622541C2211yescharacteristic
131#10622289C2211yescharacteristic
132#10622289C2211yescharacteristic
133#10622288C2211yescharacteristic
134#10622288C2211yescharacteristic
135#10622286C2211yescharacteristic
136#10622286C2211yescharacteristic
137#10622285C2211yescharacteristic
138#10622285C2211yescharacteristic
139#10622285C2211yescharacteristic
140#10622285C2211yescharacteristic
141#10622284C2211yescharacteristic
142#10622284C2211yescharacteristic
143#10622283C2211yescharacteristic
144#10622283C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622282C2211yescharacteristic
147#10622282C2211yescharacteristic
148#10622282C2211yescharacteristic
149#10622282C2211yescharacteristic
150#10622281C2211yescharacteristic
151#10622281C2211yescharacteristic
152#10622281C2211yescharacteristic
153#10622281C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622278C2211yescharacteristic
162#10622278C2211yescharacteristic
163#10622278C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169D11×#95C2211yescharacteristic
170#10622274C2211yescharacteristic
171#10622270C2211yescharacteristic
172#10622270C2211yescharacteristic
173#10622269C2211yescharacteristic
174#10622268C2211yescharacteristic
175#10622268C2211yescharacteristic
176#10622267C2211yescharacteristic
177#10622266C2211yescharacteristic
178#10622265C2211yescharacteristic
179#10622263C2211yescharacteristic
180#10622263C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C2×#4343—24no—
196C2×#4343—42no—
197C2×#4343—42no—
198C2×#4339—24no—
199C2×#4339—42no—
200C2×#4339—42no—
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×Dic22C2311yescharacteristic
216C11×C22⋊Q8—24no—
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238#66999—24no—
239#66983—24no—
240#66983—42no—
241#66982—24no—
242#66982—42no—
243C4×C22⋊D11—42no—
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280#66979—42no—
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316#66951—42no—
317#66948—42no—
318#66947—24no—
319#66947—42no—
320#66945—42no—
321#66937—24no—
322#66929—42no—
323C4×D44—42no—
324#66925—24no—
325#66925—42no—
326#66925—42no—
327#66925—42no—
328C42×D11—42no—
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11×#95C2311yescharacteristic
340C11×#95C2311yescharacteristic
341C11×#95C2311yescharacteristic
342C11×#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#60044—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C23×D11C2411yescharacteristic
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C2×Q8×C11—41no—
376C2×Q8×C11—41no—
377C2×Q8×C11#4114yescomplemented
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—22no—
381C22×C4×C11—22no—
382C22×C4×C11—22no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—22no—
404C2×C22⋊D11—22no—
405C2×C22⋊D11—22no—
406C2×C22⋊D11—41no—
407C2×C22⋊D11—41no—
408C2×C22⋊D11—41no—
409C2×C22⋊D11—41no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
412C2×C22⋊D11#4114yescomplemented
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425#4343—416no—
426#4339—416no—
427C2×D44—22no—
428C2×D44—22no—
429C2×D44—22no—
430C2×D44—22no—
431C2×D44—22no—
432C2×D44—22no—
433C2×D44—22no—
434C2×D44—22no—
435C2×D44—22no—
436C2×D44—22no—
437C2×D44—41no—
438C2×D44—41no—
439C2×D44—41no—
440C2×D44—41no—
441C2×D44—41no—
442C2×D44—41no—
443C2×D44—41no—
444C2×D44—41no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×Dic22—22no—
470C2×Dic22—41no—
471C2×Dic22—41no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4—22no—
474C11×C4⋊C4—22no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4—22no—
477C11×C4⋊C4—41no—
478C11×C4⋊C4—41no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C42×C11—22no—
484C42×C11—22no—
485C42×C11—41no—
486C42×C11—41no—
487C42×C11—41no—
488C42×C11—41no—
489C22⋊Dic11—22no—
490C22⋊Dic11—22no—
491C22⋊Dic11—41no—
492C22⋊Dic11—41no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—22no—
501(C2×D11)⋊C4—22no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529C4⋊Dic11—22no—
530C4⋊Dic11—22no—
531C4⋊Dic11—22no—
532C4⋊Dic11—41no—
533C4⋊Dic11—41no—
534C4⋊Dic11—41no—
535C4⋊Dic11—41no—
536Dic11⋊C4—22no—
537Dic11⋊C4—22no—
538Dic11⋊C4—22no—
539Dic11⋊C4—22no—
540Dic11⋊C4—22no—
541Dic11⋊C4—22no—
542Dic11⋊C4—22no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4#4114yescomplemented
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—22no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564#2808—111no—
565#2806—111no—
566#2732—111no—
567#2682—111no—
568#2609—111no—
569#2609—111no—
570#2601—111no—
571#2601—111no—
572#2574—111no—
573#2574—111no—
574#2554—111no—
575#2554—111no—
576#2553—111no—
577#2553—111no—
578#2476—111no—
579#2476—111no—
580#2471—111no—
581#2471—111no—
582#2430—111no—
583#2430—111no—
584#2407—111no—
585#2407—111no—
586#2368—111no—
587#2368D1111yescharacteristic, complemented
588#2363—111no—
589#2363—111no—
590#2359—111no—
591#2359—111no—
592#2297—111no—
593#2297—111no—
594#2296—111no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11C2×#4112yes—
602C23×C11C2511yescharacteristic
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11C2×#4112yes—
630C22×D11H(5,𝔽2)12yes—
631Q8×C11—44no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—44no—
669C2×C4×C11—44no—
670C2×C4×C11—82no—
671C2×C4×C11C2×#4112yes—
672C2×C4×C11C2×#4112yes—
673C2×C4×C11C2×#4112yes—
674C2×C4×C11C2×#4112yes—
675C2×C4×C11H(5,𝔽2)12yes—
676C2×C4×C112−1+412yes—
677C22⋊D11—44no—
678C22⋊D11—44no—
679C22⋊D11—44no—
680C22⋊D11—82no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11C2×#4112yes—
714C2×Dic11C2×#4112yes—
715C2×Dic11C2×#4112yes—
716C2×Dic11H(5,𝔽2)12yes—
717D44—44no—
718D44—44no—
719D44—44no—
720D44—44no—
721D44—44no—
722D44—82no—
723C4×D11—28no—
724C4×D11—28no—
725C4×D11—28no—
726C4×D11—44no—
727C4×D11—44no—
728C4×D11—44no—
729C4×D11—44no—
730C4×D11—82no—
731Dic22—44no—
732C22×#41—111no—
733C22×#41—111no—
734C2×#126—111no—
735C2×#126—111no—
736C2×#123—111no—
737C2×#123—111no—
738C2×#123—111no—
739C2×#123—111no—
740C2×C22⋊Q8—111no—
741C2×C22⋊Q8C2×D1111yescharacteristic
742C2×#121—111no—
743C2×#121—111no—
744C2×#121—111no—
745C2×#121—111no—
746C2×C4×D4—111no—
747C2×C4×D4—111no—
748C2×#117—111no—
749C2×#117—111no—
750C2×#117—111no—
751C2×#117—111no—
752C2×#117—111no—
753C2×#117—111no—
754C22×C42—111no—
755#399—111no—
756#399—111no—
757#398—111no—
758#398—111no—
759#398—111no—
760#398—111no—
761#398—111no—
762#398—111no—
763#397—111no—
764#397—111no—
765#396—111no—
766#396—111no—
767#396—111no—
768#396—111no—
769#396—111no—
770#396—111no—
771#395—111no—
772#395—111no—
773#394—111no—
774#394—111no—
775#394—111no—
776#394—111no—
777#394—111no—
778#394—111no—
779#394—111no—
780#394—111no—
781#393—111no—
782#393—111no—
783#392—111no—
784#392—111no—
785#392—111no—
786#392—111no—
787#391—111no—
788#391—111no—
789#391—111no—
790#391—111no—
791#391C2×D1111yescharacteristic
792#391C2×D1111yescharacteristic
793#390—111no—
794#390—111no—
795#390—111no—
796#390—111no—
797#390—111no—
798#390—111no—
799#390—111no—
800#390—111no—
801#390—111no—
802#390—111no—
803#389—111no—
804#389—111no—
805#389—111no—
806#389—111no—
807#389—111no—
808#389—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387C2×D1111yescharacteristic
832#387C2×D1111yescharacteristic
833#387C2×D1111yescharacteristic
834#387C2×D1111yescharacteristic
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#386—111no—
843#386—111no—
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#385—111no—
852#385—111no—
853#385—111no—
854#385—111no—
855#385—111no—
856#385—111no—
857#385—111no—
858#385—111no—
859#385—111no—
860#385—111no—
861#385C2×D1111yescharacteristic
862#385C2×D1111yescharacteristic
863#382—111no—
864#382—111no—
865#380—111no—
866#380—111no—
867C4×C4⋊C4—111no—
868C4×C4⋊C4—111no—
869C4×C4⋊C4—111no—
870C4×C4⋊C4—111no—
871C4×C4⋊C4C2×D1111yescharacteristic
872C4×C4⋊C4C2×D1111yescharacteristic
873C4×C22⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4C2×D1111yescharacteristic
883C4×C22⋊C4C2×D1111yescharacteristic
884C4×C22⋊C4C2×D1111yescharacteristic
885C2×#95—111no—
886C2×#95C2×D1111yescharacteristic
887C22×C11—22no—
888C22×C11—22no—
889C22×C11—22no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11C22×#4111yescharacteristic
895C22×C11C22×#4111yescharacteristic
896C22×C11C22×#4111yescharacteristic
897C22×C11C2×H(5,𝔽2)11yescharacteristic
898C22×C11C2×H(5,𝔽2)11yescharacteristic
899C22×C11C2×H(5,𝔽2)11yescharacteristic
900C22×C11C2×2−1+411yescharacteristic
901C2×D11—22no—
902C2×D11—22no—
903C2×D11—22no—
904C2×D11—22no—
905C2×D11—22no—
906C2×D11—22no—
907C2×D11—41no—
908C2×D11—41no—
909C2×D11—41no—
910C2×D11—41no—
911C2×D11—41no—
912C2×D11—41no—
913C2×D11—41no—
914C2×D11—41no—
915C2×D11—41no—
916C2×D11—41no—
917C2×D11—41no—
918C2×D11—41no—
919C2×D11—41no—
920C2×D11—41no—
921C2×D11—41no—
922C2×D11—41no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
929C4×C11—22no—
930C4×C11—22no—
931C4×C11—22no—
932C4×C11—22no—
933C4×C11—22no—
934C4×C11—22no—
935C4×C11—41no—
936C4×C11—41no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943Dic11—22no—
944Dic11—22no—
945Dic11—22no—
946Dic11—22no—
947Dic11—41no—
948Dic11—41no—
949Dic11—41no—
950Dic11—41no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955C2×#41—224no—
956C2×#41—224no—
957C2×#41—442no—
958C2×#41—442no—
959C2×#41—442no—
960C2×#41—442no—
961C22×Q8—111no—
962C22×Q8C22×D1111yescharacteristic
963C22×D4—111no—
964C22×D4—111no—
965C22×D4—111no—
966C22×D4—111no—
967C22×D4—111no—
968C22×D4—111no—
969C22×D4—111no—
970C22×D4—111no—
971C22×D4—111no—
972C22×D4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4—111no—
978C23×C4—111no—
979C23×C4—111no—
980C23×C4—111no—
981C23×C4C22×D1111yescharacteristic
982C23×C4C22×D1111yescharacteristic
983C23×C4C22×D1111yescharacteristic
984#126—442no—
985#126—442no—
986#123—224no—
987#123—224no—
988#123—442no—
989#123—442no—
990C22⋊Q8—24no—
991C22⋊Q8—224no—
992#121—224no—
993#121—224no—
994#121—442no—
995#121—442no—
996C4×D4—442no—
997C4×D4—442no—
998#117—224no—
999#117—442no—
1000#117—442no—
1001#117—442no—
1002#117—442no—
1003#117—442no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C42—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—111no—
1088C2×C42—111no—
1089C2×C42—111no—
1090C2×C42—442no—
1091C2×C42C22×D1111yescharacteristic
1092C2×C42C22×D1111yescharacteristic
1093C2×C42C22×D1111yescharacteristic
1094C2×C42C22×D1111yescharacteristic
1095C2×C42C22×D1111yescharacteristic
1096C2×C42C22×D1111yescharacteristic
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95C22×D1111yescharacteristic
1124#95C22×D1111yescharacteristic
1125#95C22×D1111yescharacteristic
1126#95C22×D1111yescharacteristic
1127#95C22×D1111yescharacteristic
1128#95C22×D1111yescharacteristic
1129#95C22×D1111yescharacteristic
1130#95C22×D1111yescharacteristic
1131#95C22×D1111yescharacteristic
1132#95C22×D1111yescharacteristic
1133#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137C2×C11—42no—
1138C2×C11#348111yescharacteristic
1139C2×C11#348211yescharacteristic
1140C2×C11#348311yescharacteristic
1141C2×C11#349011yescharacteristic
1142C2×C11#349011yescharacteristic
1143C2×C11#349211yescharacteristic
1144C2×C11#354811yescharacteristic
1145D11—42no—
1146D11—42no—
1147D11—81no—
1148D11—81no—
1149C24—111no—
1150C24—111no—
1151C24—111no—
1152C24—111no—
1153C24C23×D1111yescharacteristic
1154#41—4416no—
1155#41—4416no—
1156C2×Q8—41no—
1157C2×Q8—41no—
1158C2×Q8—222no—
1159C2×Q8—441no—
1160C2×Q8—441no—
1161C2×Q8#433914yescomplemented
1162C2×D4—114no—
1163C2×D4—222no—
1164C2×D4—222no—
1165C2×D4—222no—
1166C2×D4—222no—
1167C2×D4—222no—
1168C2×D4—222no—
1169C2×D4—222no—
1170C2×D4—222no—
1171C2×D4—222no—
1172C2×D4—222no—
1173C2×D4—222no—
1174C2×D4—222no—
1175C2×D4—222no—
1176C2×D4—222no—
1177C2×D4—222no—
1178C2×D4—441no—
1179C2×D4—441no—
1180C2×D4—441no—
1181C2×D4—441no—
1182C2×D4—441no—
1183C2×D4—441no—
1184C2×D4—441no—
1185C2×D4—441no—
1186C2×D4—441no—
1187C2×D4—441no—
1188C2×D4—441no—
1189C2×D4—441no—
1190C2×D4—441no—
1191C2×D4—441no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—111no—
1202C22×C4—111no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—111no—
1206C22×C4—111no—
1207C22×C4—111no—
1208C22×C4—111no—
1209C22×C4—111no—
1210C22×C4—111no—
1211C22×C4—111no—
1212C22×C4—111no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—222no—
1216C22×C4—222no—
1217C22×C4—222no—
1218C22×C4—222no—
1219C22×C4—222no—
1220C22×C4—222no—
1221C22×C4—222no—
1222C22×C4—222no—
1223C22×C4—222no—
1224C22×C4—222no—
1225C22×C4—222no—
1226C22×C4—222no—
1227C22×C4—222no—
1228C22×C4—222no—
1229C22×C4—222no—
1230C22×C4—222no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4C23×D1111yescharacteristic
1238C22×C4C23×D1111yescharacteristic
1239C22×C4C23×D1111yescharacteristic
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—114no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—222no—
1263C4⋊C4—222no—
1264C4⋊C4—222no—
1265C4⋊C4—222no—
1266C4⋊C4—222no—
1267C4⋊C4—222no—
1268C4⋊C4—222no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—222no—
1288C22⋊C4—222no—
1289C22⋊C4—222no—
1290C22⋊C4—222no—
1291C22⋊C4—222no—
1292C22⋊C4—222no—
1293C22⋊C4—222no—
1294C22⋊C4—222no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—222no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C42—22no—
1328C42—22no—
1329C42—41no—
1330C42—41no—
1331C42—41no—
1332C42—41no—
1333C42—222no—
1334C42—222no—
1335C42—222no—
1336C42—222no—
1337C42—441no—
1338C42—441no—
1339C42—441no—
1340C42—441no—
1341C42—441no—
1342C42—441no—
1343C11#6004411yescharacteristic, complemented, Sylow
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—112no—
1351C23—112no—
1352C23—221no—
1353C23—221no—
1354C23—221no—
1355C23—221no—
1356C23—221no—
1357C23—221no—
1358C23—221no—
1359C23—221no—
1360C23—221no—
1361C23—221no—
1362C23—221no—
1363C23—221no—
1364C23—221no—
1365C23—221no—
1366C23—221no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23—221no—
1377C23—221no—
1378C23#41×D1112yes—
1379C23C24×D1111yescharacteristic
1380Q8—44no—
1381Q8—444no—
1382D4—444no—
1383D4—444no—
1384D4—444no—
1385D4—444no—
1386D4—444no—
1387D4—444no—
1388D4—444no—
1389D4—444no—
1390D4—882no—
1391D4—882no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—44no—
1429C2×C4—44no—
1430C2×C4—82no—
1431C2×C4—112no—
1432C2×C4—112no—
1433C2×C4—112no—
1434C2×C4—112no—
1435C2×C4—228no—
1436C2×C4—228no—
1437C2×C4—228no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—444no—
1471C2×C4—444no—
1472C2×C4—444no—
1473C2×C4—444no—
1474C2×C4—882no—
1475C2×C4C2×#433912yes—
1476C2×C4C2×#433912yes—
1477C2×C4C2×#433912yes—
1478C2×C4#6704012yes—
1479C2×C4#41×D1112yes—
1480C2×C4#6704212yes—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—222no—
1489C22—222no—
1490C22—222no—
1491C22—222no—
1492C22—222no—
1493C22—222no—
1494C22—441no—
1495C22—441no—
1496C22—441no—
1497C22—441no—
1498C22—441no—
1499C22—441no—
1500C22—441no—
1501C22—441no—
1502C22—441no—
1503C22—441no—
1504C22—441no—
1505C22—441no—
1506C22—441no—
1507C22—441no—
1508C22—441no—
1509C22—441no—
1510C22—441no—
1511C22—441no—
1512C22—441no—
1513C22—441no—
1514C22—441no—
1515C22—441no—
1516C22C22×#433911yescharacteristic
1517C22C2×#6704011yescharacteristic
1518C22C2×#41×D1111yescharacteristic
1519C22C2×#41×D1111yescharacteristic
1520C22C2×#6704211yescharacteristic
1521C22D11×H(5,𝔽2)11yescharacteristic
1522C22D11×H(5,𝔽2)11yescharacteristic
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—222no—
1538C4—222no—
1539C4—222no—
1540C4—222no—
1541C4—441no—
1542C4—441no—
1543C4—441no—
1544C4—441no—
1545C4—441no—
1546C4—441no—
1547C4—441no—
1548C4—441no—
1549C2—42no—
1550C2—442no—
1551C2—442no—
1552C2—881no—
1553C2—881no—
1554C2#1308221911yescharacteristic
1555C2#1308223311yescharacteristic
1556C2#1308224211yescharacteristic
1557C2#1308230011yescharacteristic
1558C2#1308230111yescharacteristic
1559C2#1308232411yescharacteristic
1560C2#1308301511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2368C2
hypercenter#2368D11
hypocenterC11#60044
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2368

Complements

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

NH ≅ G/Ntype
1. #13076592C2semidirect
2. #13076576C2semidirect
3. #13075631C2semidirect
4. #13074982C2semidirect
5. #13074295C2semidirect
6. #13074292C2semidirect
7. #13074211C2semidirect
8. #13074207C2semidirect
9. #13073895C2semidirect
10. #13073887C2semidirect
11. #13073676C2semidirect
12. #13073670C2semidirect
13. #13073667C2semidirect
14. #13073665C2semidirect
15. #13072809C2semidirect
16. #13072802C2semidirect
17. #13072734C2semidirect
18. #13072727C2semidirect
19. #13072226C2semidirect
20. #13072225C2semidirect
21. #13071964C2semidirect
22. #13071963C2semidirect
23. #13071695C2semidirect
24. #13071655C2semidirect
25. #13071652C2semidirect
26. #13071613C2semidirect
27. #13071604C2semidirect
28. #13071105C2semidirect
29. #13071102C2semidirect
30. #13071096C2semidirect
31. C11×#2368C2semidirect
377. C2×Q8×C11#41semidirect
412. C2×C22⋊D11#41semidirect
553. Dic11⋊C4#41semidirect
587. #2368D11semidirect
1161. C2×Q8#4339semidirect
1343. C11#60044semidirect

Maximal subgroups

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

subgroupindex
#130765922
#130765762
#130756312
#130749822
#130742952
#130742922
#130742112
#130742072
#130738952
#130738872
#130736762
#130736702
#130736672
#130736652
#130728092
#130728022
#130727342
#130727272
#130722262
#130722252
#130719642
#130719632
#130716952
#130716552
#130716522
#130716132
#130716042
#130711052
#130711022
#130710962
C11×#23682
#6004411