Finite Group Databasebeta

← #14920558

Subgroups — #14920558

Order 2816.

1996 conjugacy classes of subgroups.

The subgroup lattice has 1528 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074791C211yesmaximal, characteristic, complemented
2#13074753C211yesmaximal, characteristic, complemented
3#13074749C211yesmaximal, characteristic, complemented
4#13074685C211yesmaximal, characteristic, complemented
5#13074678C211yesmaximal, characteristic, complemented
6#13074652C211yesmaximal, characteristic, complemented
7#13074637C211yesmaximal, characteristic, complemented
8#13074625C211yesmaximal, characteristic, complemented
9#13074610C211yesmaximal, characteristic, complemented
10#13074610C211yesmaximal, characteristic, complemented
11#13074603C211yesmaximal, characteristic, complemented
12#13074515C211yesmaximal, characteristic, complemented
13#13074509C211yesmaximal, characteristic, complemented
14#13074471C211yesmaximal, characteristic, complemented
15#13074466C211yesmaximal, characteristic, complemented
16#13071915C211yesmaximal, characteristic, complemented
17#13071905C211yesmaximal, characteristic, complemented
18#13071893C211yesmaximal, characteristic, complemented
19#13071880C211yesmaximal, characteristic, complemented
20#13071857C211yesmaximal, characteristic, complemented
21#13071857C211yesmaximal, characteristic, complemented
22#13071834C211yesmaximal, characteristic, complemented
23#13071834C211yesmaximal, characteristic, complemented
24#13071164C211yesmaximal, characteristic, complemented
25#13071155C211yesmaximal, characteristic, complemented
26#13071137C211yesmaximal, characteristic, complemented
27#13071124C211yesmaximal, characteristic, complemented
28#13071105C211yesmaximal, characteristic, complemented
29#13071054C211yesmaximal, characteristic, complemented
30C4×#66946C211yesmaximal, characteristic, complemented
31C11×#2666C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C2×#66948C2211yescharacteristic
34C2×#66947C2211yescharacteristic
35C2×#66946C2211yescharacteristic
36C2×#66946C2211yescharacteristic
37C2×#66946C2211yescharacteristic
38C2×#66946C2211yescharacteristic
39C2×#66946C2211yescharacteristic
40C2×#66946C2211yescharacteristic
41C2×#66946C2211yescharacteristic
42C2×#66946C2211yescharacteristic
43C2×#66945C2211yescharacteristic
44C2×#66945C2211yescharacteristic
45C2×#66940C2211yescharacteristic
46C2×#66929C2211yescharacteristic
47C2×#66928C2211yescharacteristic
48C2×C4×D44C2211yescharacteristic
49C2×C42×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic
51C11×#400C2211yescharacteristic
52C11×#400C2211yescharacteristic
53C11×#398C2211yescharacteristic
54C11×#398C2211yescharacteristic
55C11×#398C2211yescharacteristic
56C11×#398C2211yescharacteristic
57C11×#395C2211yescharacteristic
58C11×#395C2211yescharacteristic
59C11×#391C2211yescharacteristic
60C11×#389C2211yescharacteristic
61C11×#387C2211yescharacteristic
62C11×#387C2211yescharacteristic
63C11×#383C2211yescharacteristic
64C11×#382C2211yescharacteristic
65C4×C11×C4⋊C4C2211yescharacteristic
66#10622844C2211yescharacteristic
67#10622844C2211yescharacteristic
68#10622843C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622607C2211yescharacteristic
71#10622607C2211yescharacteristic
72#10622607C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622607C2211yescharacteristic
76#10622606C2211yescharacteristic
77#10622606C2211yescharacteristic
78#10622606C2211yescharacteristic
79#10622606C2211yescharacteristic
80#10622605C2211yescharacteristic
81#10622604C2211yescharacteristic
82#10622604C2211yescharacteristic
83#10622604C2211yescharacteristic
84#10622604C2211yescharacteristic
85#10622604C2211yescharacteristic
86#10622604C2211yescharacteristic
87#10622604C2211yescharacteristic
88#10622604C2211yescharacteristic
89#10622604C2211yescharacteristic
90#10622604C2211yescharacteristic
91#10622604C2211yescharacteristic
92#10622603C2211yescharacteristic
93#10622603C2211yescharacteristic
94#10622602C2211yescharacteristic
95#10622601C2211yescharacteristic
96#10622601C2211yescharacteristic
97#10622600C2211yescharacteristic
98#10622599C2211yescharacteristic
99#10622597C2211yescharacteristic
100#10622595C2211yescharacteristic
101#10622594C2211yescharacteristic
102#10622591C2211yescharacteristic
103C4⋊C4×Dic11C2211yescharacteristic
104C4⋊C4×Dic11C2211yescharacteristic
105C4⋊C4×Dic11C2211yescharacteristic
106C4⋊C4×Dic11C2211yescharacteristic
107#10622587C2211yescharacteristic
108#10622553C2211yescharacteristic
109#10622553C2211yescharacteristic
110#10622552C2211yescharacteristic
111#10622552C2211yescharacteristic
112C4×(C2×D11)⋊C4C2211yescharacteristic
113C4×(C2×D11)⋊C4C2211yescharacteristic
114C42×Dic11C2211yescharacteristic
115#10622290C2211yescharacteristic
116#10622288C2211yescharacteristic
117#10622288C2211yescharacteristic
118#10622288C2211yescharacteristic
119#10622287C2211yescharacteristic
120#10622287C2211yescharacteristic
121#10622287C2211yescharacteristic
122#10622286C2211yescharacteristic
123#10622286C2211yescharacteristic
124#10622286C2211yescharacteristic
125#10622285C2211yescharacteristic
126#10622285C2211yescharacteristic
127#10622285C2211yescharacteristic
128#10622285C2211yescharacteristic
129#10622285C2211yescharacteristic
130#10622284C2211yescharacteristic
131#10622284C2211yescharacteristic
132#10622284C2211yescharacteristic
133#10622284C2211yescharacteristic
134#10622284C2211yescharacteristic
135#10622284C2211yescharacteristic
136#10622284C2211yescharacteristic
137#10622284C2211yescharacteristic
138#10622283C2211yescharacteristic
139#10622282C2211yescharacteristic
140#10622282C2211yescharacteristic
141#10622282C2211yescharacteristic
142#10622282C2211yescharacteristic
143#10622282C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622282C2211yescharacteristic
146#10622282C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622279C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622279C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622277C2211yescharacteristic
175C11⋊#401C2211yescharacteristic
176#10622273C2211yescharacteristic
177#10622273C2211yescharacteristic
178#10622272C2211yescharacteristic
179#10622269C2211yescharacteristic
180#10622265C2211yescharacteristic
181#10622265C2211yescharacteristic
182#10622265C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622262C2211yescharacteristic
185#10622262C2211yescharacteristic
186#10622261C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C2×#4343—24no—
189C2×#4343—42no—
190C2×#4343—42no—
191C22×D44C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×D44C2311yescharacteristic
194C22×D44C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×D44C2311yescharacteristic
198C22×D44C2311yescharacteristic
199C22×D44C2311yescharacteristic
200C22×D44C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301#66948—24no—
302#66947—24no—
303#66946—24no—
304#66946—24no—
305#66946—24no—
306#66946—42no—
307#66946—42no—
308#66946—42no—
309#66946—42no—
310#66946—42no—
311#66945—42no—
312#66945—42no—
313#66940—42no—
314#66929—24no—
315#66928—24no—
316C4×D44—24no—
317C42×D11—42no—
318C42×D11—42no—
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
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
363#34589—111nomaximal, Sylow
364C23×D11C2411yescharacteristic
365C23×D11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C2×Q8×C11—22no—
370C2×Q8×C11—41no—
371C2×Q8×C11—41no—
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398#4343—416no—
399C2×D44—22no—
400C2×D44—22no—
401C2×D44—22no—
402C2×D44—22no—
403C2×D44—22no—
404C2×D44—22no—
405C2×D44—22no—
406C2×D44—22no—
407C2×D44—22no—
408C2×D44—22no—
409C2×D44—22no—
410C2×D44—22no—
411C2×D44—41no—
412C2×D44—41no—
413C2×D44—41no—
414C2×D44—41no—
415C2×D44—41no—
416C2×D44—41no—
417C2×D44—41no—
418C2×D44—41no—
419C2×D44—41no—
420C2×D44—41no—
421C2×D44—41no—
422C2×D44—41no—
423C2×D44—41no—
424C2×D44—41no—
425C2×D44—41no—
426C2×D44—41no—
427C2×D44—41no—
428C2×D44—41no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—22no—
439C2×C4×D11—22no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11#4114yes—
455C2×C4×D11#4114yescomplemented
456C2×Dic22—22no—
457C2×Dic22—41no—
458C2×Dic22—41no—
459C11×C4⋊C4—22no—
460C11×C4⋊C4—22no—
461C11×C4⋊C4—22no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C4⋊C4—41no—
471C11×C4⋊C4—41no—
472C42×C11—41no—
473C42×C11—41no—
474C42×C11#4114yescomplemented
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—22no—
481(C2×D11)⋊C4—22no—
482(C2×D11)⋊C4—22no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—41no—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
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—
521C4⋊Dic11—22no—
522C4⋊Dic11—41no—
523C4⋊Dic11—41no—
524C4⋊Dic11—41no—
525C4⋊Dic11—41no—
526Dic11⋊C4—22no—
527Dic11⋊C4—22no—
528Dic11⋊C4—22no—
529Dic11⋊C4—22no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534C4×Dic11—22no—
535C4×Dic11—22no—
536C4×Dic11—22no—
537C4×Dic11—22no—
538C4×Dic11—22no—
539C4×Dic11—22no—
540C4×Dic11—22no—
541C4×Dic11—22no—
542C4×Dic11—22no—
543C4×Dic11—22no—
544C4×Dic11—22no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549#2666D1111yescharacteristic, complemented
550#2665—111no—
551#2662—111no—
552#2661—111no—
553#2653—111no—
554#2653—111no—
555#2651—111no—
556#2650—111no—
557#2649—111no—
558#2648—111no—
559#2648—111no—
560#2648—111no—
561#2636—111no—
562#2635—111no—
563#2631—111no—
564#2630—111no—
565#2401—111no—
566#2398—111no—
567#2396—111no—
568#2395—111no—
569#2392—111no—
570#2392—111no—
571#2388—111no—
572#2388—111no—
573C4×#126—111no—
574C4×#124—111no—
575C4×#123—111no—
576C4×#121—111no—
577#2297—111no—
578#2290—111no—
579C42×D4—111no—
580C23×C11C2511yescharacteristic
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
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×D11C2×#4112yes—
615C22×D11C2×#4112yes—
616Q8×C11—44no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
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×C11C2×#4112yes—
658C2×C4×C11C2×#4112yes—
659C2×C4×C11C2×#4112yes—
660C2×C4×C11C2×#4112yes—
661C2×C4×C11C2×#4112yes—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
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×Dic11C2×#4112yes—
692C2×Dic11C2×#4112yes—
693C2×Dic11H(5,𝔽2)12yes—
694C2×Dic11H(5,𝔽2)12yes—
695D44—28no—
696D44—44no—
697D44—44no—
698D44—44no—
699D44—44no—
700D44—44no—
701D44—44no—
702D44—44no—
703D44—44no—
704D44—44no—
705C4×D11—28no—
706C4×D11—44no—
707C4×D11—44no—
708C4×D11—44no—
709C4×D11—44no—
710C4×D11—44no—
711C4×D11—44no—
712C4×D11—44no—
713C4×D11—44no—
714Dic22—44no—
715C22×#41—111no—
716C2×#126—111no—
717C2×#124—111no—
718C2×#123—111no—
719C2×#121—111no—
720C2×C4×Q8—111no—
721C2×C4×D4—111no—
722C2×C4×D4—111no—
723C2×C4×D4—111no—
724C2×C4×D4—111no—
725C2×C4×D4—111no—
726C2×C4×D4—111no—
727C2×C4×D4—111no—
728C2×C4×D4—111no—
729C2×C4×D4—111no—
730C2×#117—111no—
731C2×#117—111no—
732C22×C42—111no—
733C22×C42—111no—
734#401—111no—
735#400—111no—
736#400—111no—
737#400—111no—
738#400—111no—
739#400—111no—
740#400C2×D1111yescharacteristic
741#400C2×D1111yescharacteristic
742#399—111no—
743#399—111no—
744#398—111no—
745#398C2×D1111yescharacteristic
746#398C2×D1111yescharacteristic
747#398C2×D1111yescharacteristic
748#398C2×D1111yescharacteristic
749#397—111no—
750#397—111no—
751#397—111no—
752#397—111no—
753#397—111no—
754#397—111no—
755#397—111no—
756#397—111no—
757#397—111no—
758#397—111no—
759#396—111no—
760#396—111no—
761#396—111no—
762#396—111no—
763#396—111no—
764#396—111no—
765#396—111no—
766#395—111no—
767#395C2×D1111yescharacteristic
768#395C2×D1111yescharacteristic
769#394—111no—
770#394—111no—
771#394—111no—
772#394—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#394—111no—
782#394—111no—
783#394—111no—
784#394—111no—
785#393—111no—
786#393—111no—
787#393—111no—
788#393—111no—
789#393—111no—
790#392—111no—
791#392—111no—
792#392—111no—
793#392—111no—
794#392—111no—
795#392—111no—
796#392—111no—
797#392—111no—
798#391—111no—
799#391—111no—
800#391C2×D1111yescharacteristic
801#390—111no—
802#390—111no—
803#390—111no—
804#390—111no—
805#389C2×D1111yescharacteristic
806#388—111no—
807#388—111no—
808#388—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#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387—111no—
824#387C2×D1111yescharacteristic
825#387C2×D1111yescharacteristic
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#385—111no—
836#385—111no—
837#385—111no—
838#383C2×D1111yescharacteristic
839#382C2×D1111yescharacteristic
840#381—111no—
841#380—111no—
842C4×C4⋊C4—111no—
843C4×C4⋊C4—111no—
844C4×C4⋊C4—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4—111no—
847C4×C4⋊C4—111no—
848C4×C4⋊C4—111no—
849C4×C4⋊C4C2×D1111yescharacteristic
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4—111no—
856C4×C22⋊C4—111no—
857C4×C22⋊C4—111no—
858C4×C22⋊C4—111no—
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868#376—111no—
869C43—111no—
870C22×C11C22×#4111yescharacteristic
871C22×C11C22×#4111yescharacteristic
872C22×C11C22×#4111yescharacteristic
873C22×C11C2×H(5,𝔽2)11yescharacteristic
874C22×C11C2×H(5,𝔽2)11yescharacteristic
875C22×C11#58511yescharacteristic
876C22×C11#58511yescharacteristic
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—22no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11—41no—
895C2×D11—41no—
896C2×D11—41no—
897C2×D11—41no—
898C2×D11—41no—
899C2×D11—41no—
900C2×D11—41no—
901C2×D11—41no—
902C2×D11—41no—
903C2×D11—41no—
904C2×D11—41no—
905C2×D11—41no—
906C2×D11—41no—
907C2×D11—41no—
908C2×D11—41no—
909C2×D11—41no—
910C2×D11—41no—
911C2×D11—41no—
912C4×C11—22no—
913C4×C11—22no—
914C4×C11—22no—
915C4×C11—22no—
916C4×C11—22no—
917C4×C11—41no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927Dic11—22no—
928Dic11—41no—
929Dic11—41no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937Dic11#53814yes—
938C2×#41—224no—
939C2×#41—442no—
940C2×#41—442no—
941C22×Q8—111no—
942C22×Q8C22×D1111yescharacteristic
943C22×D4—111no—
944C22×D4—111no—
945C22×D4—111no—
946C22×D4—111no—
947C22×D4—111no—
948C22×D4—111no—
949C22×D4—111no—
950C22×D4—111no—
951C22×D4—111no—
952C22×D4—111no—
953C23×C4—111no—
954C23×C4—111no—
955C23×C4—111no—
956C23×C4—111no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4—111no—
961C23×C4—111no—
962#126—224no—
963#124—224no—
964#123—224no—
965#121—224no—
966C4×Q8—442no—
967C4×D4—224no—
968C4×D4—224no—
969C4×D4—224no—
970C4×D4—224no—
971C4×D4—442no—
972C4×D4—442no—
973C4×D4—442no—
974C4×D4—442no—
975C4×D4—442no—
976#117—442no—
977#117—442no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4C22×D1111yescharacteristic
992C2×C4⋊C4C22×D1111yescharacteristic
993C2×C4⋊C4C22×D1111yescharacteristic
994C2×C4⋊C4C22×D1111yescharacteristic
995C2×C4⋊C4C22×D1111yescharacteristic
996C2×C4⋊C4C22×D1111yescharacteristic
997C2×C4⋊C4C22×D1111yescharacteristic
998C2×C4⋊C4C22×D1111yescharacteristic
999C2×C4⋊C4C22×D1111yescharacteristic
1000C2×C4⋊C4C22×D1111yescharacteristic
1001C2×C4⋊C4C22×D1111yescharacteristic
1002C2×C4⋊C4C22×D1111yescharacteristic
1003C2×C4⋊C4C22×D1111yescharacteristic
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
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×C42—111no—
1051C2×C42—111no—
1052C2×C42—111no—
1053C2×C42—111no—
1054C2×C42—111no—
1055C2×C42—111no—
1056C2×C42—111no—
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—111no—
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—442no—
1066C2×C42—442no—
1067C2×C42C22×D1111yescharacteristic
1068C2×C42C22×D1111yescharacteristic
1069C2×C42C22×D1111yescharacteristic
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95C22×D1111yescharacteristic
1097#95C22×D1111yescharacteristic
1098#95C22×D1111yescharacteristic
1099#95C22×D1111yescharacteristic
1100#95C22×D1111yescharacteristic
1101#95C22×D1111yescharacteristic
1102#95C22×D1111yescharacteristic
1103#95C22×D1111yescharacteristic
1104#95C22×D1111yescharacteristic
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111#95C22×D1111yescharacteristic
1112#95C22×D1111yescharacteristic
1113#95C22×D1111yescharacteristic
1114C2×C11#344411yescharacteristic
1115C2×C11C2×#53811yescharacteristic
1116C2×C11#345511yescharacteristic
1117C2×C11#345911yescharacteristic
1118C2×C11#346011yescharacteristic
1119C2×C11#346011yescharacteristic
1120C2×C11#346011yescharacteristic
1121D11—42no—
1122D11—42no—
1123D11—81no—
1124D11—81no—
1125D11—81no—
1126C24—111no—
1127C24—111no—
1128C24—111no—
1129C24—111no—
1130C24—111no—
1131#41—4416no—
1132C2×Q8—22no—
1133C2×Q8—41no—
1134C2×Q8—41no—
1135C2×Q8—222no—
1136C2×Q8—441no—
1137C2×Q8—441no—
1138C2×D4—222no—
1139C2×D4—222no—
1140C2×D4—222no—
1141C2×D4—222no—
1142C2×D4—222no—
1143C2×D4—222no—
1144C2×D4—222no—
1145C2×D4—222no—
1146C2×D4—222no—
1147C2×D4—222no—
1148C2×D4—222no—
1149C2×D4—222no—
1150C2×D4—441no—
1151C2×D4—441no—
1152C2×D4—441no—
1153C2×D4—441no—
1154C2×D4—441no—
1155C2×D4—441no—
1156C2×D4—441no—
1157C2×D4—441no—
1158C2×D4—441no—
1159C2×D4—441no—
1160C2×D4—441no—
1161C2×D4—441no—
1162C2×D4—441no—
1163C2×D4—441no—
1164C2×D4—441no—
1165C2×D4—441no—
1166C2×D4—441no—
1167C2×D4—441no—
1168C22×C4—111no—
1169C22×C4—111no—
1170C22×C4—114no—
1171C22×C4—114no—
1172C22×C4—111no—
1173C22×C4—111no—
1174C22×C4—111no—
1175C22×C4—111no—
1176C22×C4—111no—
1177C22×C4—111no—
1178C22×C4—111no—
1179C22×C4—111no—
1180C22×C4—111no—
1181C22×C4—222no—
1182C22×C4—222no—
1183C22×C4—222no—
1184C22×C4—222no—
1185C22×C4—222no—
1186C22×C4—222no—
1187C22×C4—222no—
1188C22×C4—222no—
1189C22×C4—222no—
1190C22×C4—222no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—222no—
1195C22×C4—222no—
1196C22×C4—222no—
1197C22×C4—222no—
1198C22×C4—441no—
1199C22×C4—441no—
1200C22×C4—441no—
1201C22×C4—441no—
1202C22×C4—441no—
1203C22×C4—441no—
1204C22×C4—441no—
1205C22×C4—441no—
1206C22×C4C23×D1111yescharacteristic
1207C22×C4C23×D1111yescharacteristic
1208C22×C4C23×D1111yescharacteristic
1209C22×C4C23×D1111yescharacteristic
1210C22×C4C23×D1111yescharacteristic
1211C22×C4C23×D1111yescharacteristic
1212C22×C4C23×D1111yescharacteristic
1213C22×C4C23×D1111yescharacteristic
1214C22×C4C23×D1111yescharacteristic
1215C22×C4C23×D1111yescharacteristic
1216C22×C4C23×D1111yescharacteristic
1217C22×C4C23×D1111yescharacteristic
1218C22×C4C23×D1111yescharacteristic
1219C22×C4C23×D1111yescharacteristic
1220C22×C4C23×D1111yescharacteristic
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—222no—
1235C4⋊C4—222no—
1236C4⋊C4—222no—
1237C4⋊C4—222no—
1238C4⋊C4—222no—
1239C4⋊C4—441no—
1240C4⋊C4—441no—
1241C4⋊C4—441no—
1242C4⋊C4—441no—
1243C4⋊C4—441no—
1244C4⋊C4—441no—
1245C4⋊C4—441no—
1246C4⋊C4—441no—
1247C22⋊C4—222no—
1248C22⋊C4—222no—
1249C22⋊C4—222no—
1250C22⋊C4—222no—
1251C22⋊C4—222no—
1252C22⋊C4—222no—
1253C22⋊C4—222no—
1254C22⋊C4—222no—
1255C22⋊C4—222no—
1256C22⋊C4—222no—
1257C22⋊C4—222no—
1258C22⋊C4—222no—
1259C22⋊C4—222no—
1260C22⋊C4—222no—
1261C22⋊C4—222no—
1262C22⋊C4—222no—
1263C22⋊C4—222no—
1264C22⋊C4—222no—
1265C22⋊C4—222no—
1266C22⋊C4—222no—
1267C22⋊C4—441no—
1268C22⋊C4—441no—
1269C22⋊C4—441no—
1270C22⋊C4—441no—
1271C22⋊C4—441no—
1272C22⋊C4—441no—
1273C22⋊C4—441no—
1274C22⋊C4—441no—
1275C22⋊C4—441no—
1276C22⋊C4—441no—
1277C22⋊C4—441no—
1278C22⋊C4—441no—
1279C22⋊C4—441no—
1280C22⋊C4—441no—
1281C22⋊C4—441no—
1282C22⋊C4—441no—
1283C22⋊C4—441no—
1284C22⋊C4—441no—
1285C22⋊C4—441no—
1286C22⋊C4—441no—
1287C22⋊C4—441no—
1288C22⋊C4—441no—
1289C22⋊C4—441no—
1290C22⋊C4—441no—
1291C22⋊C4—441no—
1292C22⋊C4—441no—
1293C42—41no—
1294C42—41no—
1295C42—222no—
1296C42—222no—
1297C42—222no—
1298C42—222no—
1299C42—222no—
1300C42—222no—
1301C42—222no—
1302C42—222no—
1303C42—222no—
1304C42—222no—
1305C42—222no—
1306C42—441no—
1307C42—441no—
1308C42—441no—
1309C42—441no—
1310C42#434314yescomplemented
1311C11#3458911yescharacteristic, complemented, Sylow
1312C23—112no—
1313C23—112no—
1314C23—221no—
1315C23—221no—
1316C23—221no—
1317C23—221no—
1318C23—221no—
1319C23—221no—
1320C23—221no—
1321C23—221no—
1322C23—221no—
1323C23—221no—
1324C23—221no—
1325C23—221no—
1326C23—221no—
1327C23—221no—
1328C23—221no—
1329C23—221no—
1330C23—221no—
1331C23—221no—
1332C23—221no—
1333C23—221no—
1334C23—221no—
1335C23—221no—
1336C23—221no—
1337C23—221no—
1338C23—221no—
1339C23—221no—
1340C23—221no—
1341C23—221no—
1342C23—221no—
1343C23—221no—
1344C23—221no—
1345C23—221no—
1346C23—221no—
1347C23C24×D1111yescharacteristic
1348Q8—44no—
1349Q8—444no—
1350D4—228no—
1351D4—444no—
1352D4—444no—
1353D4—444no—
1354D4—444no—
1355D4—444no—
1356D4—444no—
1357D4—444no—
1358D4—444no—
1359D4—444no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
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—112no—
1401C2×C4—112no—
1402C2×C4—112no—
1403C2×C4—112no—
1404C2×C4—228no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—444no—
1435C2×C4—444no—
1436C2×C4—444no—
1437C2×C4—444no—
1438C2×C4—444no—
1439C2×C4—444no—
1440C2×C4—444no—
1441C2×C4—444no—
1442C2×C4C2×#434312yes—
1443C2×C4C2×#434312yes—
1444C2×C4C2×#434312yes—
1445C2×C4#41×D1112yes—
1446C2×C4#41×D1112yes—
1447C22—222no—
1448C22—222no—
1449C22—222no—
1450C22—222no—
1451C22—222no—
1452C22—222no—
1453C22—441no—
1454C22—441no—
1455C22—441no—
1456C22—441no—
1457C22—441no—
1458C22—441no—
1459C22—441no—
1460C22—441no—
1461C22—441no—
1462C22—441no—
1463C22—441no—
1464C22—441no—
1465C22—441no—
1466C22—441no—
1467C22—441no—
1468C22—441no—
1469C22—441no—
1470C22—441no—
1471C22—441no—
1472C22—441no—
1473C22—441no—
1474C22—441no—
1475C22—441no—
1476C22—441no—
1477C22—441no—
1478C22—441no—
1479C22—441no—
1480C22—441no—
1481C22—441no—
1482C22C22×#434311yescharacteristic
1483C22C2×#41×D1111yescharacteristic
1484C22C2×#41×D1111yescharacteristic
1485C22D11×H(5,𝔽2)11yescharacteristic
1486C22D11×H(5,𝔽2)11yescharacteristic
1487C22#1062345711yescharacteristic
1488C22#1062345711yescharacteristic
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—114no—
1505C4—222no—
1506C4—441no—
1507C4—441no—
1508C4—441no—
1509C4—441no—
1510C4—441no—
1511C4—441no—
1512C4—441no—
1513C4—441no—
1514C4—441no—
1515C2—442no—
1516C2—442no—
1517C2—881no—
1518C2—881no—
1519C2—881no—
1520C2#1308191311yescharacteristic
1521C2D11×#53811yescharacteristic
1522C2#1308200711yescharacteristic
1523C2#1308202411yescharacteristic
1524C2#1308203611yescharacteristic
1525C2#1308203911yescharacteristic
1526C2#1308203911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2666C2
hypercenter#2666D11
hypocenterC11#34589
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2666

Complements

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

NH ≅ G/Ntype
1. #13074791C2semidirect
2. #13074753C2semidirect
3. #13074749C2semidirect
4. #13074685C2semidirect
5. #13074678C2semidirect
6. #13074652C2semidirect
7. #13074637C2semidirect
8. #13074625C2semidirect
9. #13074610C2semidirect
10. #13074610C2semidirect
11. #13074603C2semidirect
12. #13074515C2semidirect
13. #13074509C2semidirect
14. #13074471C2semidirect
15. #13074466C2semidirect
16. #13071915C2semidirect
17. #13071905C2semidirect
18. #13071893C2semidirect
19. #13071880C2semidirect
20. #13071857C2semidirect
21. #13071857C2semidirect
22. #13071834C2semidirect
23. #13071834C2semidirect
24. #13071164C2semidirect
25. #13071155C2semidirect
26. #13071137C2semidirect
27. #13071124C2semidirect
28. #13071105C2semidirect
29. #13071054C2semidirect
30. C4×#66946C2semidirect
31. C11×#2666C2semidirect
455. C2×C4×D11#41semidirect
474. C42×C11#41semidirect
549. #2666D11semidirect
1310. C42#4343semidirect
1311. C11#34589semidirect

Maximal subgroups

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

subgroupindex
#130747912
#130747532
#130747492
#130746852
#130746782
#130746522
#130746372
#130746252
#130746102
#130746032
#130745152
#130745092
#130744712
#130744662
#130719152
#130719052
#130718932
#130718802
#130718572
#130718342
#130711642
#130711552
#130711372
#130711242
#130711052
#130710542
C4×#669462
C11×#26662
#3458911