Finite Group Databasebeta

← #14969237

Subgroups — #14969237

Order 2816.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1578 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076913C211yesmaximal, characteristic, complemented
2#13076913C211yesmaximal, characteristic, complemented
3#13076476C211yesmaximal, characteristic, complemented
4#13076473C211yesmaximal, characteristic, complemented
5#13075992C211yesmaximal, characteristic, complemented
6#13075878C211yesmaximal, characteristic, complemented
7#13075785C211yesmaximal, characteristic, complemented
8#13075780C211yesmaximal, characteristic, complemented
9#13075627C211yesmaximal, characteristic, complemented
10#13075626C211yesmaximal, characteristic, complemented
11#13075257C211yesmaximal, characteristic, complemented
12#13075255C211yesmaximal, characteristic, complemented
13#13075205C211yesmaximal, characteristic, complemented
14#13075203C211yesmaximal, characteristic, complemented
15#13074928C211yesmaximal, characteristic, complemented
16#13074918C211yesmaximal, characteristic, complemented
17#13074914C211yesmaximal, characteristic, complemented
18#13074906C211yesmaximal, characteristic, complemented
19#13074504C211yesmaximal, characteristic, complemented
20#13074472C211yesmaximal, characteristic, complemented
21#13073922C211yesmaximal, characteristic, complemented
22#13073914C211yesmaximal, characteristic, complemented
23#13073690C211yesmaximal, characteristic, complemented
24#13073685C211yesmaximal, characteristic, complemented
25#13073237C211yesmaximal, characteristic, complemented
26#13073235C211yesmaximal, characteristic, complemented
27#13072980C211yesmaximal, characteristic, complemented
28#13072979C211yesmaximal, characteristic, complemented
29#13071376C211yesmaximal, characteristic, complemented
30C4×#66939C211yesmaximal, characteristic, complemented
31C11×#2333C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×#66992C2211yescharacteristic
34C2×#66992C2211yescharacteristic
35C2×#66991C2211yescharacteristic
36C2×#66983C2211yescharacteristic
37C2×#66983C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40C2×#66941C2211yescharacteristic
41C2×#66939C2211yescharacteristic
42C2×#66938C2211yescharacteristic
43C2×#66938C2211yescharacteristic
44C2×#66938C2211yescharacteristic
45C2×#66938C2211yescharacteristic
46C2×#66937C2211yescharacteristic
47C2×#66937C2211yescharacteristic
48C2×#66937C2211yescharacteristic
49C2×#66931C2211yescharacteristic
50C2×#66931C2211yescharacteristic
51C2×#66928C2211yescharacteristic
52C2×#66922C2211yescharacteristic
53C11×#390C2211yescharacteristic
54C11×#390C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#386C2211yescharacteristic
60C11×#386C2211yescharacteristic
61C11×#386C2211yescharacteristic
62C11×#386C2211yescharacteristic
63C11×#381C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66C4×C11×C22⋊C4C2211yescharacteristic
67#10622836C2211yescharacteristic
68#10622836C2211yescharacteristic
69#10622836C2211yescharacteristic
70#10622836C2211yescharacteristic
71#10622836C2211yescharacteristic
72#10622836C2211yescharacteristic
73#10622834C2211yescharacteristic
74#10622833C2211yescharacteristic
75#10622833C2211yescharacteristic
76#10622826C2211yescharacteristic
77#10622826C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622825C2211yescharacteristic
81#10622824C2211yescharacteristic
82#10622823C2211yescharacteristic
83#10622823C2211yescharacteristic
84#10622607C2211yescharacteristic
85#10622607C2211yescharacteristic
86#10622606C2211yescharacteristic
87#10622604C2211yescharacteristic
88#10622603C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic
91#10622600C2211yescharacteristic
92#10622599C2211yescharacteristic
93#10622594C2211yescharacteristic
94#10622592C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622574C2211yescharacteristic
97#10622574C2211yescharacteristic
98#10622574C2211yescharacteristic
99#10622573C2211yescharacteristic
100#10622573C2211yescharacteristic
101#10622573C2211yescharacteristic
102#10622573C2211yescharacteristic
103#10622572C2211yescharacteristic
104#10622572C2211yescharacteristic
105#10622572C2211yescharacteristic
106#10622572C2211yescharacteristic
107#10622571C2211yescharacteristic
108#10622571C2211yescharacteristic
109#10622571C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622570C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622566C2211yescharacteristic
117#10622565C2211yescharacteristic
118#10622565C2211yescharacteristic
119#10622564C2211yescharacteristic
120#10622564C2211yescharacteristic
121#10622564C2211yescharacteristic
122#10622563C2211yescharacteristic
123#10622562C2211yescharacteristic
124#10622561C2211yescharacteristic
125#10622560C2211yescharacteristic
126#10622560C2211yescharacteristic
127#10622560C2211yescharacteristic
128#10622557C2211yescharacteristic
129#10622557C2211yescharacteristic
130#10622557C2211yescharacteristic
131#10622557C2211yescharacteristic
132#10622556C2211yescharacteristic
133#10622553C2211yescharacteristic
134#10622553C2211yescharacteristic
135#10622552C2211yescharacteristic
136#10622552C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic
138C4×(C2×D11)⋊C4C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×C4⋊Dic11C2211yescharacteristic
142C4×C4⋊Dic11C2211yescharacteristic
143#10622546C2211yescharacteristic
144#10622546C2211yescharacteristic
145#10622546C2211yescharacteristic
146#10622546C2211yescharacteristic
147#10622289C2211yescharacteristic
148#10622288C2211yescharacteristic
149#10622287C2211yescharacteristic
150#10622286C2211yescharacteristic
151#10622286C2211yescharacteristic
152#10622286C2211yescharacteristic
153#10622285C2211yescharacteristic
154#10622285C2211yescharacteristic
155#10622284C2211yescharacteristic
156#10622283C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622283C2211yescharacteristic
159#10622283C2211yescharacteristic
160#10622283C2211yescharacteristic
161#10622282C2211yescharacteristic
162#10622282C2211yescharacteristic
163#10622282C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622277C2211yescharacteristic
168#10622277C2211yescharacteristic
169#10622277C2211yescharacteristic
170C11⋊#401C2211yescharacteristic
171C11⋊#401C2211yescharacteristic
172#10622274C2211yescharacteristic
173#10622272C2211yescharacteristic
174#10622271C2211yescharacteristic
175#10622270C2211yescharacteristic
176#10622269C2211yescharacteristic
177#10622268C2211yescharacteristic
178#10622267C2211yescharacteristic
179#10622267C2211yescharacteristic
180#10622266C2211yescharacteristic
181#10622266C2211yescharacteristic
182#10622264C2211yescharacteristic
183#10622263C2211yescharacteristic
184#10622263C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×D44C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#121—24no—
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246#66992—42no—
247#66992—42no—
248#66991—42no—
249#66983—42no—
250#66983—42no—
251C4×C22⋊D11—42no—
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×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—42no—
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306#66941—42no—
307#66939—24no—
308#66938—42no—
309#66938—42no—
310#66938—42no—
311#66938—42no—
312#66937—24no—
313#66937—42no—
314#66937—42no—
315#66931—42no—
316#66931—42no—
317#66928—42no—
318#66922—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#37035—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C2×D4×C11—22no—
371C2×D4×C11—22no—
372C2×D4×C11—22no—
373C2×D4×C11—41no—
374C2×D4×C11—41no—
375C2×D4×C11—41no—
376C2×D4×C11—41no—
377C2×D4×C11—41no—
378C2×D4×C11—41no—
379C22×C4×C11—22no—
380C22×C4×C11—22no—
381C22×C4×C11—41no—
382C22×C4×C11—41no—
383C22×C4×C11—41no—
384C22×C4×C11—41no—
385C22×C4×C11—41no—
386C22×C4×C11—41no—
387C22×C4×C11—41no—
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
400C2×C22⋊D11—22no—
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—22no—
404C2×C22⋊D11—22no—
405C2×C22⋊D11—41no—
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—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C22×Dic11—22no—
428C22×Dic11—22no—
429C22×Dic11—22no—
430C22×Dic11—41no—
431C22×Dic11—41no—
432C22×Dic11—41no—
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C2×D44—22no—
447C2×D44—41no—
448C2×D44—41no—
449C2×D44—41no—
450C2×D44—41no—
451C2×D44—41no—
452C2×D44—41no—
453C2×D44—41no—
454C2×D44—41no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×Dic22—22no—
465C2×Dic22—22no—
466C2×Dic22—41no—
467C2×Dic22—41no—
468C2×Dic22—41no—
469C2×Dic22—41no—
470C2×Dic22—41no—
471C2×Dic22—41no—
472C2×Dic22—41no—
473C11×C4⋊C4—22no—
474C11×C4⋊C4—41no—
475C11×C4⋊C4—41no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4#4114yes—
488C42×C11—41no—
489C42×C11—41no—
490C42×C11—41no—
491C42×C11—41no—
492C22⋊Dic11—22no—
493C22⋊Dic11—22no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
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—22no—
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—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532C4⋊Dic11—22no—
533C4⋊Dic11—22no—
534C4⋊Dic11—22no—
535C4⋊Dic11—22no—
536C4⋊Dic11—22no—
537C4⋊Dic11—22no—
538C4⋊Dic11—41no—
539C4⋊Dic11—41no—
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—
551C4×Dic11—22no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558#2850—111no—
559#2850—111no—
560#2797—111no—
561#2797—111no—
562#2760—111no—
563#2752—111no—
564#2745—111no—
565#2745—111no—
566#2731—111no—
567#2731—111no—
568#2703—111no—
569#2703—111no—
570#2699—111no—
571#2699—111no—
572#2677—111no—
573#2676—111no—
574#2676—111no—
575#2675—111no—
576#2635—111no—
577#2631—111no—
578#2576—111no—
579#2576—111no—
580#2555—111no—
581#2555—111no—
582#2515—111no—
583#2515—111no—
584#2491—111no—
585#2491—111no—
586#2333—111no—
587#2333D1111yescharacteristic, complemented
588C4×#123—111no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11C2×#4112yes—
610C23×C11C2511yescharacteristic
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×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632D4×C11—82no—
633D4×C11—82no—
634D4×C11—82no—
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—82no—
670C2×C4×C11—82no—
671C2×C4×C11C2×#4112yes—
672C2×C4×C11C2×#4112yes—
673C2×C4×C11H(5,𝔽2)12yes—
674C22⋊D11—44no—
675C22⋊D11—82no—
676C22⋊D11—82no—
677C22⋊D11—82no—
678C22⋊D11—82no—
679C22⋊D11—82no—
680C22⋊D11—82no—
681C22⋊D11—82no—
682C22⋊D11—82no—
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×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—44no—
721C2×Dic11—44no—
722C2×Dic11H(5,𝔽2)12yes—
723C2×Dic11H(5,𝔽2)12yes—
724D44—82no—
725D44—82no—
726D44—82no—
727C4×D11—82no—
728C4×D11—82no—
729C4×D11—82no—
730Dic22—82no—
731Dic22—82no—
732Dic22—82no—
733C2×C4⋊Q8—111no—
734C2×C4⋊Q8—111no—
735C2×#124—111no—
736C2×#124—111no—
737C2×#124—111no—
738C2×#124—111no—
739C2×#124—111no—
740C2×#123—111no—
741C2×C22⋊Q8—111no—
742C2×C22⋊Q8—111no—
743C2×#121—111no—
744C2×#121—111no—
745C2×#121—111no—
746C2×#121—111no—
747C2×#121—111no—
748C2×#121—111no—
749C2×#121—111no—
750C2×#121—111no—
751C2×#121C2×D1111yescharacteristic
752C2×C4×D4—111no—
753C22×C42—111no—
754#401—111no—
755#401—111no—
756#400—111no—
757#400—111no—
758#400—111no—
759#399—111no—
760#398—111no—
761#398—111no—
762#397—111no—
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397—111no—
768#396—111no—
769#396—111no—
770#396—111no—
771#396—111no—
772#395—111no—
773#395—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#393—111no—
791#392—111no—
792#392—111no—
793#392—111no—
794#392—111no—
795#392—111no—
796#392—111no—
797#392—111no—
798#392—111no—
799#392—111no—
800#392—111no—
801#392—111no—
802#391—111no—
803#391—111no—
804#390—111no—
805#390—111no—
806#390—111no—
807#390—111no—
808#390—111no—
809#390—111no—
810#390C2×D1111yescharacteristic
811#390C2×D1111yescharacteristic
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#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388C2×D1111yescharacteristic
831#388C2×D1111yescharacteristic
832#387—111no—
833#387—111no—
834#387—111no—
835#387—111no—
836#387—111no—
837#387—111no—
838#387—111no—
839#387—111no—
840#387—111no—
841#387—111no—
842#387C2×D1111yescharacteristic
843#387C2×D1111yescharacteristic
844#386—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386C2×D1111yescharacteristic
860#386C2×D1111yescharacteristic
861#386C2×D1111yescharacteristic
862#386C2×D1111yescharacteristic
863#385—111no—
864#385—111no—
865#385—111no—
866#385—111no—
867#385—111no—
868#383—111no—
869#382—111no—
870#382—111no—
871#381—111no—
872#381—111no—
873#381—111no—
874#381—111no—
875#381—111no—
876#381C2×D1111yescharacteristic
877#380—111no—
878#380—111no—
879C4×C4⋊C4—111no—
880C4×C4⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4C2×D1111yescharacteristic
886C4×C22⋊C4C2×D1111yescharacteristic
887C4×C22⋊C4C2×D1111yescharacteristic
888C22×C11—22no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11C22×#4111yescharacteristic
910C22×C11C2×H(5,𝔽2)11yescharacteristic
911C22×C11C2×H(5,𝔽2)11yescharacteristic
912C22×C11C2×H(5,𝔽2)11yescharacteristic
913C22×C11#58511yescharacteristic
914C22×C11#58511yescharacteristic
915C22×C11#58511yescharacteristic
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—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C4×C11—22no—
938C4×C11—22no—
939C4×C11—22no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949Dic11—22no—
950Dic11—22no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962C22×Q8—111no—
963C22×Q8—111no—
964C22×Q8—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—
973C22×D4—111no—
974C22×D4—111no—
975C22×D4—111no—
976C22×D4—111no—
977C22×D4C22×D1111yescharacteristic
978C22×D4C22×D1111yescharacteristic
979C22×D4C22×D1111yescharacteristic
980C23×C4—111no—
981C23×C4—111no—
982C23×C4—111no—
983C23×C4—111no—
984C23×C4—111no—
985C23×C4C22×D1111yescharacteristic
986C23×C4C22×D1111yescharacteristic
987C23×C4C22×D1111yescharacteristic
988C4⋊Q8—442no—
989C4⋊Q8—442no—
990#124—442no—
991#124—442no—
992#124—442no—
993#124—442no—
994#124—442no—
995#123—224no—
996C22⋊Q8—442no—
997C22⋊Q8—442no—
998#121—24no—
999#121—224no—
1000#121—442no—
1001#121—442no—
1002#121—442no—
1003#121—442no—
1004#121—442no—
1005#121—442no—
1006#121—442no—
1007C4×D4—442no—
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⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
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×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⋊C4C22×D1111yescharacteristic
1071C2×C22⋊C4C22×D1111yescharacteristic
1072C2×C22⋊C4C22×D1111yescharacteristic
1073C2×C22⋊C4C22×D1111yescharacteristic
1074C2×C22⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—111no—
1088C2×C42—111no—
1089C2×C42—442no—
1090C2×C42C22×D1111yescharacteristic
1091C2×C42C22×D1111yescharacteristic
1092C2×C42C22×D1111yescharacteristic
1093C2×C42C22×D1111yescharacteristic
1094#95—111no—
1095#95—111no—
1096#95—111no—
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#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
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
1137#95C22×D1111yescharacteristic
1138C2×C11—42no—
1139C2×C11—81no—
1140C2×C11—81no—
1141C2×C11#346011yescharacteristic
1142C2×C11#351411yescharacteristic
1143C2×C11#351411yescharacteristic
1144C2×C11#353311yescharacteristic
1145C2×C11#353711yescharacteristic
1146C2×C11#355111yescharacteristic
1147C2×C11#355111yescharacteristic
1148D11—81no—
1149D11—81no—
1150D11—81no—
1151C24—111no—
1152C24—111no—
1153C24—111no—
1154C24C23×D1111yescharacteristic
1155C24C23×D1111yescharacteristic
1156C24C23×D1111yescharacteristic
1157C2×Q8—222no—
1158C2×Q8—222no—
1159C2×Q8—441no—
1160C2×Q8—441no—
1161C2×Q8—441no—
1162C2×Q8—441no—
1163C2×Q8—441no—
1164C2×Q8—441no—
1165C2×Q8—441no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—222no—
1176C2×D4—222no—
1177C2×D4—222no—
1178C2×D4—222no—
1179C2×D4—222no—
1180C2×D4—222no—
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—
1192C2×D4—441no—
1193C2×D4—441no—
1194C2×D4—441no—
1195C2×D4—441no—
1196C2×D4—441no—
1197C2×D4—441no—
1198C2×D4—441no—
1199C2×D4—441no—
1200C2×D4—441no—
1201C2×D4—441no—
1202C2×D4—441no—
1203C2×D4—441no—
1204C2×D4—441no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—222no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4—441no—
1242C22×C4—441no—
1243C22×C4—441no—
1244C22×C4—441no—
1245C22×C4—441no—
1246C22×C4—441no—
1247C22×C4—441no—
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C22×C4C23×D1111yescharacteristic
1260C4⋊C4—22no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—222no—
1264C4⋊C4—222no—
1265C4⋊C4—222no—
1266C4⋊C4—222no—
1267C4⋊C4—222no—
1268C4⋊C4—222no—
1269C4⋊C4—222no—
1270C4⋊C4—222no—
1271C4⋊C4—222no—
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—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
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—441no—
1305C22⋊C4—441no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
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—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4#433914yes—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—222no—
1339C42—222no—
1340C42—222no—
1341C42—441no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C11#3703511yescharacteristic, complemented, Sylow
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
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—221no—
1379C23—221no—
1380C23—221no—
1381C23—221no—
1382C23—221no—
1383C23—221no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23C2×#433912yes—
1388C23C24×D1111yescharacteristic
1389Q8—882no—
1390Q8—882no—
1391Q8—882no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—444no—
1396D4—882no—
1397D4—882no—
1398D4—882no—
1399D4—882no—
1400D4—882no—
1401D4—882no—
1402D4—882no—
1403D4—882no—
1404D4—882no—
1405D4—882no—
1406D4—882no—
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—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—44no—
1441C2×C4—82no—
1442C2×C4—82no—
1443C2×C4—112no—
1444C2×C4—112no—
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—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—444no—
1483C2×C4—444no—
1484C2×C4—882no—
1485C2×C4—882no—
1486C2×C4—882no—
1487C2×C4C2×#433912yes—
1488C2×C4C2×#433912yes—
1489C2×C4#6704212yes—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—441no—
1512C22—441no—
1513C22—441no—
1514C22—441no—
1515C22—441no—
1516C22—441no—
1517C22—441no—
1518C22—441no—
1519C22—441no—
1520C22—441no—
1521C22—441no—
1522C22—441no—
1523C22—441no—
1524C22—441no—
1525C22—441no—
1526C22—441no—
1527C22—441no—
1528C22—441no—
1529C22—441no—
1530C22—441no—
1531C22—441no—
1532C22C22×#433911yescharacteristic
1533C22C2×#6704211yescharacteristic
1534C22#1062345311yescharacteristic
1535C22D11×H(5,𝔽2)11yescharacteristic
1536C22D11×H(5,𝔽2)11yescharacteristic
1537C22#1062345511yescharacteristic
1538C22#1062345511yescharacteristic
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—222no—
1552C4—222no—
1553C4—441no—
1554C4—441no—
1555C4—441no—
1556C4—441no—
1557C4—441no—
1558C4—441no—
1559C4—441no—
1560C4—441no—
1561C4—441no—
1562C4—441no—
1563C4—441no—
1564C2—42no—
1565C2—81no—
1566C2—81no—
1567C2—881no—
1568C2—881no—
1569C2—881no—
1570C2#1308203211yescharacteristic
1571C2#1308256711yescharacteristic
1572C2#1308256711yescharacteristic
1573C2#1308278411yescharacteristic
1574C2#1308285411yescharacteristic
1575C2#1308303311yescharacteristic
1576C2#1308303711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2333C2
hypercenter#2333D11
hypocenterC11#37035
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
1. #13076913C2semidirect
2. #13076913C2semidirect
3. #13076476C2semidirect
4. #13076473C2semidirect
5. #13075992C2semidirect
6. #13075878C2semidirect
7. #13075785C2semidirect
8. #13075780C2semidirect
9. #13075627C2semidirect
10. #13075626C2semidirect
11. #13075257C2semidirect
12. #13075255C2semidirect
13. #13075205C2semidirect
14. #13075203C2semidirect
15. #13074928C2semidirect
16. #13074918C2semidirect
17. #13074914C2semidirect
18. #13074906C2semidirect
19. #13074504C2semidirect
20. #13074472C2semidirect
21. #13073922C2semidirect
22. #13073914C2semidirect
23. #13073690C2semidirect
24. #13073685C2semidirect
25. #13073237C2semidirect
26. #13073235C2semidirect
27. #13072980C2semidirect
28. #13072979C2semidirect
29. #13071376C2semidirect
30. C4×#66939C2semidirect
31. C11×#2333C2semidirect
587. #2333D11semidirect
1345. C11#37035semidirect

Maximal subgroups

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

subgroupindex
#130769132
#130764762
#130764732
#130759922
#130758782
#130757852
#130757802
#130756272
#130756262
#130752572
#130752552
#130752052
#130752032
#130749282
#130749182
#130749142
#130749062
#130745042
#130744722
#130739222
#130739142
#130736902
#130736852
#130732372
#130732352
#130729802
#130729792
#130713762
C4×#669392
C11×#23332
#3703511