Finite Group Databasebeta

← #14926019

Subgroups — #14926019

Order 2816.

2198 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074114C211yesmaximal, characteristic, complemented
2#13074026C211yesmaximal, characteristic, complemented
3#13073895C211yesmaximal, characteristic, complemented
4#13073894C211yesmaximal, characteristic, complemented
5#13073864C211yesmaximal, characteristic, complemented
6#13073692C211yesmaximal, characteristic, complemented
7#13073675C211yesmaximal, characteristic, complemented
8#13073674C211yesmaximal, characteristic, complemented
9#13073279C211yesmaximal, characteristic, complemented
10#13073278C211yesmaximal, characteristic, complemented
11#13072664C211yesmaximal, characteristic, complemented
12#13072663C211yesmaximal, characteristic, complemented
13#13072558C211yesmaximal, characteristic, complemented
14#13072557C211yesmaximal, characteristic, complemented
15#13072507C211yesmaximal, characteristic, complemented
16#13072506C211yesmaximal, characteristic, complemented
17#13071892C211yesmaximal, characteristic, complemented
18#13071856C211yesmaximal, characteristic, complemented
19#13071832C211yesmaximal, characteristic, complemented
20#13071832C211yesmaximal, characteristic, complemented
21C4×#66951C211yesmaximal, characteristic, complemented
22C4×#66928C211yesmaximal, characteristic, complemented
23C4×#66938C211yesmaximal, characteristic, complemented
24C4×#66947C211yesmaximal, characteristic, complemented
25C4×#66936C211yesmaximal, characteristic, complemented
26C4×#66948C211yesmaximal, characteristic, complemented
27C4×#66937C211yesmaximal, characteristic, complemented
28#13071102C211yesmaximal, characteristic, complemented
29C42×D44C211yesmaximal, characteristic, complemented
30C4×#66946C211yesmaximal, characteristic, complemented
31C4×C11×#126C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C2×C4×C22⋊D11C2211yescharacteristic
36C2×#66951C2211yescharacteristic
37C2×#66948C2211yescharacteristic
38C2×#66947C2211yescharacteristic
39C2×#66946C2211yescharacteristic
40C2×#66946C2211yescharacteristic
41C2×#66938C2211yescharacteristic
42C2×#66937C2211yescharacteristic
43C2×#66936C2211yescharacteristic
44C2×#66928C2211yescharacteristic
45C2×C4×D44C2211yescharacteristic
46C2×C4×D44C2211yescharacteristic
47C2×C4×D44C2211yescharacteristic
48C2×C4×D44C2211yescharacteristic
49C2×C4×D44C2211yescharacteristic
50C2×C4×D44C2211yescharacteristic
51C2×C4×D44C2211yescharacteristic
52C2×#66925C2211yescharacteristic
53C2×C42×D11C2211yescharacteristic
54C2×C42×D11C2211yescharacteristic
55C2×C42×D11C2211yescharacteristic
56C2×C4×Dic22C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C11×#387C2211yescharacteristic
62C11×#387C2211yescharacteristic
63C11×#383C2211yescharacteristic
64C4×C11×C4⋊C4C2211yescharacteristic
65C4×C11×C4⋊C4C2211yescharacteristic
66C4×C11×C4⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68C4×C11×C22⋊C4C2211yescharacteristic
69C4×C11×C22⋊C4C2211yescharacteristic
70C43×C11C2211yescharacteristic
71C4×C22⋊Dic11C2211yescharacteristic
72#10622607C2211yescharacteristic
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622605C2211yescharacteristic
76#10622604C2211yescharacteristic
77#10622604C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622601C2211yescharacteristic
82#10622600C2211yescharacteristic
83#10622598C2211yescharacteristic
84#10622594C2211yescharacteristic
85#10622594C2211yescharacteristic
86#10622593C2211yescharacteristic
87#10622592C2211yescharacteristic
88#10622591C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91#10622574C2211yescharacteristic
92#10622574C2211yescharacteristic
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622573C2211yescharacteristic
96#10622573C2211yescharacteristic
97#10622573C2211yescharacteristic
98#10622573C2211yescharacteristic
99#10622570C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622569C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622558C2211yescharacteristic
111#10622557C2211yescharacteristic
112#10622553C2211yescharacteristic
113#10622553C2211yescharacteristic
114#10622553C2211yescharacteristic
115#10622553C2211yescharacteristic
116#10622552C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic
126C4×(C2×D11)⋊C4C2211yescharacteristic
127C4×(C2×D11)⋊C4C2211yescharacteristic
128C4×(C2×D11)⋊C4C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131#10622549C2211yescharacteristic
132C4×C4⋊Dic11C2211yescharacteristic
133C4×C4⋊Dic11C2211yescharacteristic
134C4×C4⋊Dic11C2211yescharacteristic
135C4×Dic11⋊C4C2211yescharacteristic
136C4×Dic11⋊C4C2211yescharacteristic
137C42×Dic11C2211yescharacteristic
138#10622542C2211yescharacteristic
139#10622289C2211yescharacteristic
140#10622287C2211yescharacteristic
141#10622286C2211yescharacteristic
142#10622286C2211yescharacteristic
143#10622286C2211yescharacteristic
144#10622285C2211yescharacteristic
145#10622285C2211yescharacteristic
146#10622285C2211yescharacteristic
147#10622284C2211yescharacteristic
148#10622284C2211yescharacteristic
149#10622284C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622283C2211yescharacteristic
152#10622283C2211yescharacteristic
153#10622283C2211yescharacteristic
154#10622282C2211yescharacteristic
155#10622282C2211yescharacteristic
156#10622282C2211yescharacteristic
157#10622282C2211yescharacteristic
158#10622281C2211yescharacteristic
159#10622280C2211yescharacteristic
160#10622279C2211yescharacteristic
161#10622279C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622278C2211yescharacteristic
165#10622278C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622277C2211yescharacteristic
171#10622277C2211yescharacteristic
172#10622274C2211yescharacteristic
173#10622271C2211yescharacteristic
174#10622270C2211yescharacteristic
175#10622269C2211yescharacteristic
176#10622269C2211yescharacteristic
177#10622268C2211yescharacteristic
178#10622267C2211yescharacteristic
179#10622267C2211yescharacteristic
180#10622265C2211yescharacteristic
181#10622264C2211yescharacteristic
182#10622263C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C23×C4×C11C2311yescharacteristic
188C22×C22⋊D11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C2×#4339—24no—
193C2×#4339—42no—
194C2×#4339—42no—
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×C4×D11C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#126—24no—
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×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C4×C22⋊D11—42no—
241C4×C22⋊D11—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308#66951—24no—
309#66948—24no—
310#66947—24no—
311#66946—24no—
312#66946—24no—
313#66938—24no—
314#66937—24no—
315#66936—24no—
316#66928—24no—
317C4×D44—24no—
318C4×D44—24no—
319C4×D44—24no—
320C4×D44—24no—
321C4×D44—42no—
322C4×D44—42no—
323C4×D44—42no—
324#66925—42no—
325C42×D11—42no—
326C42×D11—42no—
327C42×D11—42no—
328C4×Dic22—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#34962—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C23×D11C2411yescharacteristic
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C22×C4×C11—22no—
376C22×C4×C11—22no—
377C22×C4×C11—22no—
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×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C2×C22⋊D11—22no—
393C2×C22⋊D11—22no—
394C2×C22⋊D11—22no—
395C2×C22⋊D11—22no—
396C2×C22⋊D11—22no—
397C2×C22⋊D11—22no—
398C2×C22⋊D11—41no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11—41no—
401C2×C22⋊D11—41no—
402C2×C22⋊D11—41no—
403C2×C22⋊D11—41no—
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416#4339—416no—
417C2×D44—22no—
418C2×D44—22no—
419C2×D44—22no—
420C2×D44—22no—
421C2×D44—22no—
422C2×D44—22no—
423C2×D44—22no—
424C2×D44—22no—
425C2×D44—22no—
426C2×D44—22no—
427C2×D44—22no—
428C2×D44—22no—
429C2×D44—22no—
430C2×D44—41no—
431C2×D44—41no—
432C2×D44—41no—
433C2×D44—41no—
434C2×D44—41no—
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—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—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11#4114yes—
465C2×Dic22—22no—
466C2×Dic22—22no—
467C2×Dic22—22no—
468C2×Dic22—41no—
469C2×Dic22—41no—
470C2×Dic22—41no—
471C11×C4⋊C4—22no—
472C11×C4⋊C4—22no—
473C11×C4⋊C4—22no—
474C11×C4⋊C4—22no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4#4114yescomplemented
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C42×C11—22no—
484C42×C11—22no—
485C42×C11—22no—
486C42×C11—22no—
487C42×C11—22no—
488C42×C11—22no—
489C42×C11—22no—
490C42×C11—22no—
491C42×C11—22no—
492C42×C11—22no—
493C22⋊Dic11—22no—
494C22⋊Dic11—22no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
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—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
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#4114yescomplemented
530(C2×D11)⋊C4#4114yescomplemented
531C4⋊Dic11—22no—
532C4⋊Dic11—22no—
533C4⋊Dic11—22no—
534C4⋊Dic11—41no—
535C4⋊Dic11—41no—
536C4⋊Dic11—41no—
537C4⋊Dic11—41no—
538C4⋊Dic11#4114yescomplemented
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—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—22no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563#2593—111no—
564#2586—111no—
565#2574—111no—
566#2574—111no—
567#2572—111no—
568#2555—111no—
569#2554—111no—
570#2554—111no—
571#2518—111no—
572#2518—111no—
573#2467—111no—
574#2467—111no—
575#2459—111no—
576#2459—111no—
577#2456—111no—
578#2456—111no—
579#2396—111no—
580#2392—111no—
581#2388—111no—
582#2388—111no—
583C4×#126—111no—
584C4×#126D1111yescharacteristic, complemented
585C4×#124—111no—
586C4×#124—111no—
587C4×#123—111no—
588C4×#123—111no—
589C4×#121—111no—
590C4×#121—111no—
591#2297—111no—
592C42×D4—111no—
593C42×D4—111no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11C2511yescharacteristic
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×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×D11C2×#4112yes—
628C22×D11C2×#4112yes—
629C22×D11C2×#4112yes—
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×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—44no—
664C2×C4×C11C2×#4112yes—
665C2×C4×C11C2×#4112yes—
666C2×C4×C11C2×#4112yes—
667C2×C4×C11C2×#4112yes—
668C2×C4×C11C2×#4112yes—
669C2×C4×C11C2×#4112yes—
670C2×C4×C11C2×#4112yes—
671C2×C4×C11H(5,𝔽2)12yes—
672C2×C4×C11H(5,𝔽2)12yes—
673C22⋊D11—44no—
674C22⋊D11—44no—
675C22⋊D11—44no—
676C22⋊D11—44no—
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×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×Dic11C2×#4112yes—
709C2×Dic11C2×#4112yes—
710C2×Dic11C2×#4112yes—
711C2×Dic11C2×#4112yes—
712C2×Dic11C2×#4112yes—
713D44—28no—
714D44—28no—
715D44—44no—
716D44—44no—
717D44—44no—
718D44—44no—
719C4×D11—28no—
720C4×D11—44no—
721C4×D11—44no—
722C4×D11—44no—
723C4×D11—44no—
724C4×D11—44no—
725C4×D11—44no—
726C4×D11—44no—
727C4×D11—44no—
728C4×D11—44no—
729Dic22—44no—
730Dic22—44no—
731C22×#41—111no—
732C2×#126—111no—
733C2×#126C2×D1111yescharacteristic
734C2×#124—111no—
735C2×#124—111no—
736C2×#123—111no—
737C2×#123—111no—
738C2×#121—111no—
739C2×#121—111no—
740C2×C4×Q8—111no—
741C2×C4×D4—111no—
742C2×C4×D4—111no—
743C2×C4×D4—111no—
744C2×C4×D4—111no—
745C2×C4×D4—111no—
746C2×C4×D4—111no—
747C2×C4×D4—111no—
748C2×C4×D4—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×#117—111no—
753C22×C42—111no—
754C22×C42—111no—
755C22×C42—111no—
756#400—111no—
757#399—111no—
758#398—111no—
759#398—111no—
760#398—111no—
761#397—111no—
762#396—111no—
763#396—111no—
764#396—111no—
765#396—111no—
766#395—111no—
767#395—111no—
768#395—111no—
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#393—111no—
779#393—111no—
780#393—111no—
781#392—111no—
782#392—111no—
783#392—111no—
784#392—111no—
785#392—111no—
786#392—111no—
787#392—111no—
788#391—111no—
789#391—111no—
790#391—111no—
791#391—111no—
792#390—111no—
793#390—111no—
794#390—111no—
795#390—111no—
796#390—111no—
797#390—111no—
798#389—111no—
799#389—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
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#388C2×D1111yescharacteristic
820#388C2×D1111yescharacteristic
821#388C2×D1111yescharacteristic
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387C2×D1111yescharacteristic
830#387C2×D1111yescharacteristic
831#387C2×D1111yescharacteristic
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#385—111no—
843#385—111no—
844#383—111no—
845#383C2×D1111yescharacteristic
846#382—111no—
847#382—111no—
848#381—111no—
849#381—111no—
850#380—111no—
851#380—111no—
852C4×C4⋊C4—111no—
853C4×C4⋊C4—111no—
854C4×C4⋊C4—111no—
855C4×C4⋊C4—111no—
856C4×C4⋊C4—111no—
857C4×C4⋊C4—111no—
858C4×C4⋊C4—111no—
859C4×C4⋊C4C2×D1111yescharacteristic
860C4×C4⋊C4C2×D1111yescharacteristic
861C4×C4⋊C4C2×D1111yescharacteristic
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C4×C22⋊C4—111no—
872C4×C22⋊C4—111no—
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⋊C4C2×D1111yescharacteristic
882C4×C22⋊C4C2×D1111yescharacteristic
883C4×C22⋊C4C2×D1111yescharacteristic
884C43—111no—
885C43C2×D1111yescharacteristic
886C22×C11—41no—
887C22×C11—41no—
888C22×C11—41no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11C22×#4111yescharacteristic
894C22×C11C22×#4111yescharacteristic
895C22×C11C22×#4111yescharacteristic
896C22×C11C22×#4111yescharacteristic
897C22×C11C22×#4111yescharacteristic
898C22×C11C2×H(5,𝔽2)11yescharacteristic
899C22×C11C2×H(5,𝔽2)11yescharacteristic
900C2×D11—22no—
901C2×D11—22no—
902C2×D11—22no—
903C2×D11—22no—
904C2×D11—22no—
905C2×D11—22no—
906C2×D11—22no—
907C2×D11—22no—
908C2×D11—22no—
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—
928C4×C11—22no—
929C4×C11—22no—
930C4×C11—22no—
931C4×C11—22no—
932C4×C11—22no—
933C4×C11—22no—
934C4×C11—41no—
935C4×C11—41no—
936C4×C11—41no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11#53814yes—
942Dic11—22no—
943Dic11—22no—
944Dic11—22no—
945Dic11—22no—
946Dic11—22no—
947Dic11—41no—
948Dic11—41no—
949Dic11—41no—
950Dic11—41no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954C2×#41—224no—
955C2×#41—442no—
956C2×#41—442no—
957C22×Q8—111no—
958C22×Q8—111no—
959C22×D4—111no—
960C22×D4—111no—
961C22×D4—111no—
962C22×D4—111no—
963C22×D4—111no—
964C22×D4—111no—
965C22×D4—111no—
966C22×D4—111no—
967C22×D4—111no—
968C22×D4—111no—
969C23×C4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4—111no—
978C23×C4—111no—
979C23×C4C22×D1111yescharacteristic
980#126—24no—
981#126—224no—
982#124—224no—
983#124—224no—
984#123—224no—
985#123—224no—
986#121—224no—
987#121—224no—
988C4×Q8—442no—
989C4×D4—224no—
990C4×D4—224no—
991C4×D4—224no—
992C4×D4—224no—
993C4×D4—224no—
994C4×D4—224no—
995C4×D4—442no—
996C4×D4—442no—
997C4×D4—442no—
998C4×D4—442no—
999C4×D4—442no—
1000#117—442no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1020C2×C4⋊C4C22×D1111yescharacteristic
1021C2×C4⋊C4C22×D1111yescharacteristic
1022C2×C4⋊C4C22×D1111yescharacteristic
1023C2×C4⋊C4C22×D1111yescharacteristic
1024C2×C4⋊C4C22×D1111yescharacteristic
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×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⋊C4C22×D1111yescharacteristic
1064C2×C22⋊C4C22×D1111yescharacteristic
1065C2×C22⋊C4C22×D1111yescharacteristic
1066C2×C22⋊C4C22×D1111yescharacteristic
1067C2×C22⋊C4C22×D1111yescharacteristic
1068C2×C22⋊C4C22×D1111yescharacteristic
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42—111no—
1072C2×C42—111no—
1073C2×C42—111no—
1074C2×C42—111no—
1075C2×C42—111no—
1076C2×C42—111no—
1077C2×C42—111no—
1078C2×C42—111no—
1079C2×C42—111no—
1080C2×C42—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—442no—
1084C2×C42—442no—
1085C2×C42—442no—
1086C2×C42C22×D1111yescharacteristic
1087C2×C42C22×D1111yescharacteristic
1088C2×C42C22×D1111yescharacteristic
1089C2×C42C22×D1111yescharacteristic
1090C2×C42C22×D1111yescharacteristic
1091C2×C42C22×D1111yescharacteristic
1092C2×C42C22×D1111yescharacteristic
1093C2×C42C22×D1111yescharacteristic
1094C2×C42C22×D1111yescharacteristic
1095C2×C42C22×D1111yescharacteristic
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#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
1136C2×C11—81no—
1137C2×C11#344411yescharacteristic
1138C2×C11#344411yescharacteristic
1139C2×C11C2×#53811yescharacteristic
1140C2×C11#348111yescharacteristic
1141C2×C11#348111yescharacteristic
1142C2×C11#348111yescharacteristic
1143C2×C11#348311yescharacteristic
1144D11—42no—
1145D11—42no—
1146D11—42no—
1147D11—81no—
1148C24—111no—
1149C24—111no—
1150C24—111no—
1151C24—111no—
1152C24C23×D1111yescharacteristic
1153#41—4416no—
1154C2×Q8—222no—
1155C2×Q8—222no—
1156C2×Q8—222no—
1157C2×Q8—441no—
1158C2×Q8—441no—
1159C2×Q8—441no—
1160C2×D4—222no—
1161C2×D4—222no—
1162C2×D4—222no—
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—222no—
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—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—111no—
1194C22×C4—111no—
1195C22×C4—111no—
1196C22×C4—111no—
1197C22×C4—111no—
1198C22×C4—114no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—111no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—111no—
1206C22×C4—222no—
1207C22×C4—222no—
1208C22×C4—222no—
1209C22×C4—222no—
1210C22×C4—222no—
1211C22×C4—222no—
1212C22×C4—222no—
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—441no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4C23×D1111yescharacteristic
1236C22×C4C23×D1111yescharacteristic
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
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—114no—
1255C4⋊C4—222no—
1256C4⋊C4—222no—
1257C4⋊C4—222no—
1258C4⋊C4—222no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—441no—
1263C4⋊C4—441no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4#433914yescomplemented
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—114no—
1280C22⋊C4—114no—
1281C22⋊C4—222no—
1282C22⋊C4—222no—
1283C22⋊C4—222no—
1284C22⋊C4—222no—
1285C22⋊C4—222no—
1286C22⋊C4—222no—
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—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—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—222no—
1328C42—222no—
1329C42—222no—
1330C42—222no—
1331C42—222no—
1332C42—222no—
1333C42—222no—
1334C42—222no—
1335C42—441no—
1336C42—441no—
1337C42—441no—
1338C42—441no—
1339C42—441no—
1340C42—441no—
1341C11#3496211yescharacteristic, complemented, Sylow
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—112no—
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—
1377C23C24×D1111yescharacteristic
1378Q8—444no—
1379Q8—444no—
1380D4—228no—
1381D4—228no—
1382D4—444no—
1383D4—444no—
1384D4—444no—
1385D4—444no—
1386D4—444no—
1387D4—444no—
1388D4—444no—
1389D4—444no—
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—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—44no—
1424C2×C4—112no—
1425C2×C4—112no—
1426C2×C4—112no—
1427C2×C4—112no—
1428C2×C4—112no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—228no—
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—444no—
1462C2×C4—444no—
1463C2×C4—444no—
1464C2×C4—444no—
1465C2×C4—444no—
1466C2×C4—444no—
1467C2×C4—444no—
1468C2×C4—444no—
1469C2×C4—444no—
1470C2×C4C2×#433912yes—
1471C2×C4C2×#433912yes—
1472C2×C4C2×#433912yes—
1473C2×C4#41×D1112yes—
1474C2×C4#41×D1112yes—
1475C2×C4#41×D1112yes—
1476C2×C4#41×D1112yes—
1477C2×C4#6704212yes—
1478C2×C4#6704212yes—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—222no—
1487C22—222no—
1488C22—222no—
1489C22—222no—
1490C22—222no—
1491C22—222no—
1492C22—222no—
1493C22—222no—
1494C22—222no—
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—
1514C22C22×#433911yescharacteristic
1515C22C2×#41×D1111yescharacteristic
1516C22C2×#41×D1111yescharacteristic
1517C22C2×#41×D1111yescharacteristic
1518C22C2×#41×D1111yescharacteristic
1519C22C2×#6704211yescharacteristic
1520C22C2×#6704211yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—222no—
1535C4—222no—
1536C4—222no—
1537C4—222no—
1538C4—222no—
1539C4—441no—
1540C4—441no—
1541C4—441no—
1542C4—441no—
1543C4—441no—
1544C4—441no—
1545C4—441no—
1546C4#1062323514yes—
1547C2—81no—
1548C2—442no—
1549C2—442no—
1550C2—442no—
1551C2—881no—
1552C2#1308190911yescharacteristic
1553C2#1308191011yescharacteristic
1554C2C2×#1062323511yescharacteristic
1555C2#1308222211yescharacteristic
1556C2#1308222211yescharacteristic
1557C2#1308222611yescharacteristic
1558C2#1308224211yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×#126C2
hypercenterC4×#126D11
hypocenterC11#34962
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#126

Complements

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

NH ≅ G/Ntype
1. #13074114C2semidirect
2. #13074026C2semidirect
3. #13073895C2semidirect
4. #13073894C2semidirect
5. #13073864C2semidirect
6. #13073692C2semidirect
7. #13073675C2semidirect
8. #13073674C2semidirect
9. #13073279C2semidirect
10. #13073278C2semidirect
11. #13072664C2semidirect
12. #13072663C2semidirect
13. #13072558C2semidirect
14. #13072557C2semidirect
15. #13072507C2semidirect
16. #13072506C2semidirect
17. #13071892C2semidirect
18. #13071856C2semidirect
19. #13071832C2semidirect
20. #13071832C2semidirect
21. C4×#66951C2semidirect
22. C4×#66928C2semidirect
23. C4×#66938C2semidirect
24. C4×#66947C2semidirect
25. C4×#66936C2semidirect
26. C4×#66948C2semidirect
27. C4×#66937C2semidirect
28. #13071102C2semidirect
29. C42×D44C2semidirect
30. C4×#66946C2semidirect
31. C4×C11×#126C2semidirect
476. C11×C4⋊C4#41semidirect
529. (C2×D11)⋊C4#41semidirect
530. (C2×D11)⋊C4#41semidirect
538. C4⋊Dic11#41semidirect
584. C4×#126D11semidirect
1272. C4⋊C4#4339semidirect
1341. C11#34962semidirect

Maximal subgroups

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

subgroupindex
#130741142
#130740262
#130738952
#130738942
#130738642
#130736922
#130736752
#130736742
#130732792
#130732782
#130726642
#130726632
#130725582
#130725572
#130725072
#130725062
#130718922
#130718562
#130718322
C4×#669512
C4×#669282
C4×#669382
C4×#669472
C4×#669362
C4×#669482
C4×#669372
#130711022
C42×D442
C4×#669462
C4×C11×#1262
#3496211