Finite Group Databasebeta

← #14926215

Subgroups — #14926215

Order 2816.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073476C211yesmaximal, characteristic, complemented
2#13073474C211yesmaximal, characteristic, complemented
3#13073439C211yesmaximal, characteristic, complemented
4#13073437C211yesmaximal, characteristic, complemented
5#13073201C211yesmaximal, characteristic, complemented
6#13073151C211yesmaximal, characteristic, complemented
7#13073026C211yesmaximal, characteristic, complemented
8#13072978C211yesmaximal, characteristic
9#13072845C211yesmaximal, characteristic, complemented
10#13072843C211yesmaximal, characteristic, complemented
11#13072778C211yesmaximal, characteristic, complemented
12#13072776C211yesmaximal, characteristic, complemented
13#13072454C211yesmaximal, characteristic, complemented
14#13072411C211yesmaximal, characteristic, complemented
15#13072181C211yesmaximal, characteristic
16#13072140C211yesmaximal, characteristic, complemented
17#13071890C211yesmaximal, characteristic, complemented
18#13071888C211yesmaximal, characteristic, complemented
19#13071879C211yesmaximal, characteristic, complemented
20#13071876C211yesmaximal, characteristic, complemented
21C4×#66941C211yesmaximal, characteristic, complemented
22C4×#66951C211yesmaximal, characteristic, complemented
23C4×#66928C211yesmaximal, characteristic, complemented
24C4×#66938C211yesmaximal, characteristic, complemented
25C4×#66938C211yesmaximal, characteristic, complemented
26C4×#66949C211yesmaximal, characteristic, complemented
27C4×#66937C211yesmaximal, characteristic
28#13071079C211yesmaximal, characteristic, complemented
29C42×Dic22C211yesmaximal, characteristic, complemented
30C4×#66945C211yesmaximal, characteristic, complemented
31C4×C11×#126C211yesmaximal, characteristic, complemented
32C2×C11×#126C2211yescharacteristic
33C2×C4×C22⋊D11C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C2×#66979C2211yescharacteristic
36C2×#66951C2211yescharacteristic
37C2×#66949C2211yescharacteristic
38C2×#66945C2211yescharacteristic
39C2×#66945C2211yescharacteristic
40C2×#66941C2211yescharacteristic
41C2×#66938C2211yescharacteristic
42C2×#66938C2211yescharacteristic
43C2×#66937C2211yescharacteristic
44C2×#66928C2211yescharacteristic
45C2×C4×D44C2211yescharacteristic
46C2×#66925C2211yescharacteristic
47C2×C42×D11C2211yescharacteristic
48C2×C4×Dic22C2211yescharacteristic
49C2×C4×Dic22C2211yescharacteristic
50C2×C4×Dic22C2211yescharacteristic
51C2×C4×Dic22C2211yescharacteristic
52C2×C4×Dic22C2211yescharacteristic
53C11×#388C2211yescharacteristic
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#387C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#383C2211yescharacteristic
60C4×C11×C4⋊C4C2211yescharacteristic
61C4×C11×C4⋊C4C2211yescharacteristic
62C4×C11×C4⋊C4C2211yescharacteristic
63C4×C11×C22⋊C4C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66C43×C11C2211yescharacteristic
67C4×C22⋊Dic11C2211yescharacteristic
68#10622607C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622606C2211yescharacteristic
71#10622605C2211yescharacteristic
72#10622604C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622602C2211yescharacteristic
75#10622598C2211yescharacteristic
76#10622597C2211yescharacteristic
77#10622596C2211yescharacteristic
78#10622596C2211yescharacteristic
79#10622594C2211yescharacteristic
80#10622594C2211yescharacteristic
81#10622591C2211yescharacteristic
82#10622589C2211yescharacteristic
83C4⋊C4×Dic11C2211yescharacteristic
84C4⋊C4×Dic11C2211yescharacteristic
85#10622586C2211yescharacteristic
86#10622585C2211yescharacteristic
87#10622574C2211yescharacteristic
88#10622574C2211yescharacteristic
89#10622570C2211yescharacteristic
90#10622570C2211yescharacteristic
91#10622570C2211yescharacteristic
92#10622570C2211yescharacteristic
93#10622570C2211yescharacteristic
94#10622569C2211yescharacteristic
95#10622566C2211yescharacteristic
96#10622566C2211yescharacteristic
97#10622564C2211yescharacteristic
98#10622564C2211yescharacteristic
99#10622564C2211yescharacteristic
100#10622562C2211yescharacteristic
101#10622561C2211yescharacteristic
102#10622561C2211yescharacteristic
103#10622560C2211yescharacteristic
104#10622557C2211yescharacteristic
105#10622557C2211yescharacteristic
106#10622557C2211yescharacteristic
107#10622557C2211yescharacteristic
108#10622553C2211yescharacteristic
109#10622553C2211yescharacteristic
110#10622553C2211yescharacteristic
111#10622553C2211yescharacteristic
112#10622552C2211yescharacteristic
113C4×(C2×D11)⋊C4C2211yescharacteristic
114C4×(C2×D11)⋊C4C2211yescharacteristic
115C4×(C2×D11)⋊C4C2211yescharacteristic
116C4×(C2×D11)⋊C4C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119C4×(C2×D11)⋊C4C2211yescharacteristic
120C4×(C2×D11)⋊C4C2211yescharacteristic
121#10622549C2211yescharacteristic
122C4×C4⋊Dic11C2211yescharacteristic
123C4×C4⋊Dic11C2211yescharacteristic
124C4×C4⋊Dic11C2211yescharacteristic
125C4×C4⋊Dic11C2211yescharacteristic
126C4×C4⋊Dic11C2211yescharacteristic
127C4×Dic11⋊C4C2211yescharacteristic
128C4×Dic11⋊C4C2211yescharacteristic
129C4×Dic11⋊C4C2211yescharacteristic
130C4×Dic11⋊C4C2211yescharacteristic
131C4×Dic11⋊C4C2211yescharacteristic
132C4×Dic11⋊C4C2211yescharacteristic
133C4×Dic11⋊C4C2211yescharacteristic
134C4×Dic11⋊C4C2211yescharacteristic
135C42×Dic11C2211yescharacteristic
136C42×Dic11C2211yescharacteristic
137C42×Dic11C2211yescharacteristic
138#10622542C2211yescharacteristic
139#10622290C2211yescharacteristic
140#10622290C2211yescharacteristic
141#10622288C2211yescharacteristic
142#10622288C2211yescharacteristic
143#10622287C2211yescharacteristic
144#10622286C2211yescharacteristic
145#10622285C2211yescharacteristic
146#10622283C2211yescharacteristic
147#10622283C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622282C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622280C2211yescharacteristic
157#10622280C2211yescharacteristic
158#10622279C2211yescharacteristic
159#10622279C2211yescharacteristic
160#10622278C2211yescharacteristic
161#10622274C2211yescharacteristic
162#10622274C2211yescharacteristic
163#10622273C2211yescharacteristic
164#10622273C2211yescharacteristic
165#10622272C2211yescharacteristic
166#10622272C2211yescharacteristic
167#10622270C2211yescharacteristic
168#10622269C2211yescharacteristic
169#10622269C2211yescharacteristic
170#10622267C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622264C2211yescharacteristic
173#10622263C2211yescharacteristic
174#10622263C2211yescharacteristic
175#10622261C2211yescharacteristic
176#10622261C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C23×C4×C11C2311yescharacteristic
188C22×C22⋊D11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×D44C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×Dic22C2311yescharacteristic
196C22×Dic22C2311yescharacteristic
197C22×Dic22C2311yescharacteristic
198C11×#126—24no—
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C22⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C42×C11C2311yescharacteristic
212C2×C42×C11C2311yescharacteristic
213C2×C42×C11C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C4×C22⋊D11—24no—
228C4×C22⋊D11—42no—
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
251#66979—42no—
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
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
301C2×C4×Dic11C2311yescharacteristic
302#66951—24no—
303#66949—24no—
304#66945—24no—
305#66945—24no—
306#66941—24no—
307#66938—24no—
308#66938—24no—
309#66937—24no—
310#66928—24no—
311C4×D44—42no—
312#66925—42no—
313C42×D11—24no—
314C4×Dic22—24no—
315C4×Dic22—24no—
316C4×Dic22—24no—
317C4×Dic22—42no—
318C4×Dic22—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#34974—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C22×C4×C11—22no—
368C22×C4×C11—22no—
369C22×C4×C11—22no—
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
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
384C2×C22⋊D11—22no—
385C2×C22⋊D11—22no—
386C2×C22⋊D11—22no—
387C2×C22⋊D11—22no—
388C2×C22⋊D11—22no—
389C2×C22⋊D11—41no—
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C2×D44—22no—
405C2×D44—22no—
406C2×D44—41no—
407C2×C4×D11—22no—
408C2×C4×D11—22no—
409C2×C4×D11—22no—
410C2×C4×D11—22no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×Dic22—22no—
420C2×Dic22—22no—
421C2×Dic22—22no—
422C2×Dic22—22no—
423C2×Dic22—22no—
424C2×Dic22—22no—
425C2×Dic22—41no—
426C2×Dic22—41no—
427C2×Dic22#4114yes—
428C11×C4⋊C4—22no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—22no—
432C11×C4⋊C4—22no—
433C11×C4⋊C4#4114yes—
434C11×C22⋊C4—22no—
435C11×C22⋊C4—22no—
436C11×C22⋊C4—22no—
437C11×C22⋊C4—22no—
438C11×C22⋊C4—22no—
439C11×C22⋊C4—22no—
440C42×C11—22no—
441C42×C11—22no—
442C42×C11—22no—
443C42×C11—22no—
444C42×C11—22no—
445C42×C11—22no—
446C42×C11—22no—
447C42×C11—22no—
448C42×C11—22no—
449C42×C11—22no—
450C22⋊Dic11—22no—
451C22⋊Dic11—22no—
452C22⋊Dic11—22no—
453C22⋊Dic11—41no—
454C22⋊Dic11—41no—
455C22⋊Dic11—41no—
456(C2×D11)⋊C4—22no—
457(C2×D11)⋊C4—22no—
458(C2×D11)⋊C4—22no—
459(C2×D11)⋊C4—22no—
460(C2×D11)⋊C4—22no—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4—41no—
475(C2×D11)⋊C4—41no—
476(C2×D11)⋊C4—41no—
477(C2×D11)⋊C4#4114yes—
478C4⋊Dic11—22no—
479C4⋊Dic11—22no—
480C4⋊Dic11—22no—
481C4⋊Dic11—22no—
482C4⋊Dic11—22no—
483C4⋊Dic11—22no—
484C4⋊Dic11—22no—
485C4⋊Dic11—41no—
486C4⋊Dic11—41no—
487C4⋊Dic11—41no—
488C4⋊Dic11—41no—
489C4⋊Dic11—41no—
490Dic11⋊C4—22no—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—22no—
494Dic11⋊C4—22no—
495Dic11⋊C4—22no—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—41no—
501Dic11⋊C4—41no—
502Dic11⋊C4—41no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4#4114yes—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—22no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11#4114yes—
528#2532—111no—
529#2532—111no—
530#2529—111no—
531#2529—111no—
532#2512—111no—
533#2508—111no—
534#2495—111no—
535#2491—111no—
536#2479—111no—
537#2479—111no—
538#2474—111no—
539#2474—111no—
540#2451—111no—
541#2448—111no—
542#2426—111no—
543#2423—111no—
544#2396—111no—
545#2396—111no—
546#2395—111no—
547#2395—111no—
548C4×C4⋊Q8—111no—
549C4×#126—111no—
550C4×#126D1111yescharacteristic, complemented
551C4×#124—111no—
552C4×#124—111no—
553C4×#124—111no—
554C4×C22⋊Q8—111no—
555C4×#121—111no—
556#2293—111no—
557C42×Q8—111no—
558C4×#117—111no—
559C23×C11—21no—
560C23×C11—21no—
561C23×C11—21no—
562C23×C11—21no—
563C23×C11—21no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11C2511yescharacteristic
567C22×D11—21no—
568C22×D11—21no—
569C22×D11—21no—
570C22×D11—21no—
571C22×D11—21no—
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11—21no—
579C22×D11—21no—
580C22×D11C2×#4112yes—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—44no—
615C2×C4×C11C2×#4112yes—
616C2×C4×C11C2×#4112yes—
617C2×C4×C11C2×#4112yes—
618C2×C4×C11C2×#4112yes—
619C2×C4×C11C2×#4112yes—
620C2×C4×C11C2×#4112yes—
621C2×C4×C11C2×#4112yes—
622C2×C4×C11H(5,𝔽2)12yes—
623C2×C4×C112−1+412yes—
624C22⋊D11—44no—
625C22⋊D11—44no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11C2×#4112yes—
662C2×Dic11C2×#4112yes—
663C2×Dic11C2×#4112yes—
664C2×Dic11C2×#4112yes—
665C2×Dic11C2×#4112yes—
666C2×Dic11C2×#4112yes—
667C2×Dic11C2×#4112yes—
668D44—44no—
669C4×D11—28no—
670C4×D11—44no—
671C4×D11—44no—
672C4×D11—44no—
673Dic22—28no—
674Dic22—44no—
675Dic22—44no—
676C2×C4⋊Q8—111no—
677C2×#126—111no—
678C2×#126C2×D1111yescharacteristic
679C2×#124—111no—
680C2×#124—111no—
681C2×#124—111no—
682C2×C22⋊Q8—111no—
683C2×#121—111no—
684C2×C4×Q8—111no—
685C2×C4×Q8—111no—
686C2×C4×Q8—111no—
687C2×C4×Q8—111no—
688C2×C4×Q8—111no—
689C2×C4×D4—111no—
690C2×C4×D4—111no—
691C2×C4×D4—111no—
692C2×#117—111no—
693C2×#117—111no—
694C2×#117—111no—
695C2×#117—111no—
696C22×C42—111no—
697#400—111no—
698#400—111no—
699#400—111no—
700#400—111no—
701#399—111no—
702#399—111no—
703#399—111no—
704#399—111no—
705#398—111no—
706#398—111no—
707#398—111no—
708#398—111no—
709#398—111no—
710#398—111no—
711#397—111no—
712#397—111no—
713#397—111no—
714#397—111no—
715#397—111no—
716#397—111no—
717#396—111no—
718#396—111no—
719#396—111no—
720#396—111no—
721#395—111no—
722#395—111no—
723#394—111no—
724#394—111no—
725#394—111no—
726#394—111no—
727#393—111no—
728#393—111no—
729#391—111no—
730#391—111no—
731#391—111no—
732#391—111no—
733#391—111no—
734#391—111no—
735#390—111no—
736#390—111no—
737#390—111no—
738#390—111no—
739#390—111no—
740#390—111no—
741#389—111no—
742#389—111no—
743#389—111no—
744#389—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388C2×D1111yescharacteristic
771#388C2×D1111yescharacteristic
772#388C2×D1111yescharacteristic
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387C2×D1111yescharacteristic
779#387C2×D1111yescharacteristic
780#387C2×D1111yescharacteristic
781#386—111no—
782#386—111no—
783#385—111no—
784#385—111no—
785#384—111no—
786#383—111no—
787#383C2×D1111yescharacteristic
788#382—111no—
789#382—111no—
790#382—111no—
791#380—111no—
792#380—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C4⋊C4—111no—
799C4×C4⋊C4—111no—
800C4×C4⋊C4—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4—111no—
803C4×C4⋊C4—111no—
804C4×C4⋊C4—111no—
805C4×C4⋊C4—111no—
806C4×C4⋊C4—111no—
807C4×C4⋊C4—111no—
808C4×C4⋊C4C2×D1111yescharacteristic
809C4×C4⋊C4C2×D1111yescharacteristic
810C4×C4⋊C4C2×D1111yescharacteristic
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815C4×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4—111no—
818C4×C22⋊C4—111no—
819C4×C22⋊C4—111no—
820C4×C22⋊C4—111no—
821C4×C22⋊C4—111no—
822C4×C22⋊C4C2×D1111yescharacteristic
823C4×C22⋊C4C2×D1111yescharacteristic
824C4×C22⋊C4C2×D1111yescharacteristic
825#376—111no—
826#376—111no—
827C43—111no—
828C43—111no—
829C43—111no—
830C43C2×D1111yescharacteristic
831C22×C11—41no—
832C22×C11—41no—
833C22×C11—41no—
834C22×C11—41no—
835C22×C11—41no—
836C22×C11—41no—
837C22×C11—41no—
838C22×C11C22×#4111yescharacteristic
839C22×C11C22×#4111yescharacteristic
840C22×C11C22×#4111yescharacteristic
841C22×C11C22×#4111yescharacteristic
842C22×C11C22×#4111yescharacteristic
843C22×C11C2×H(5,𝔽2)11yescharacteristic
844C22×C11C2×2−1+411yescharacteristic
845C2×D11—22no—
846C2×D11—22no—
847C2×D11—22no—
848C2×D11—41no—
849C2×D11—41no—
850C2×D11—41no—
851C2×D11—41no—
852C2×D11—41no—
853C2×D11—41no—
854C2×D11—41no—
855C2×D11—41no—
856C2×D11—41no—
857C2×D11—41no—
858C2×D11—41no—
859C4×C11—22no—
860C4×C11—22no—
861C4×C11—22no—
862C4×C11—22no—
863C4×C11—22no—
864C4×C11—22no—
865C4×C11—41no—
866C4×C11—41no—
867C4×C11—41no—
868C4×C11—41no—
869C4×C11—41no—
870C4×C11—41no—
871C4×C11—41no—
872C4×C11#54214yes—
873Dic11—22no—
874Dic11—22no—
875Dic11—22no—
876Dic11—22no—
877Dic11—41no—
878Dic11—41no—
879Dic11—41no—
880Dic11—41no—
881Dic11—41no—
882Dic11—41no—
883Dic11—41no—
884Dic11—41no—
885Dic11—41no—
886Dic11#52914yes—
887C22×Q8—111no—
888C22×Q8—111no—
889C22×Q8—111no—
890C22×D4—111no—
891C22×D4—111no—
892C22×D4—111no—
893C23×C4—111no—
894C23×C4—111no—
895C23×C4—111no—
896C23×C4—111no—
897C23×C4C22×D1111yescharacteristic
898C4⋊Q8—224no—
899#126—24no—
900#126—224no—
901#124—224no—
902#124—224no—
903#124—224no—
904C22⋊Q8—224no—
905#121—224no—
906C4×Q8—224no—
907C4×Q8—224no—
908C4×Q8—224no—
909C4×Q8—442no—
910C4×Q8—442no—
911C4×D4—224no—
912C4×D4—442no—
913C4×D4—442no—
914#117—224no—
915#117—224no—
916#117—442no—
917#117—442no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4C22×D1111yescharacteristic
949C2×C4⋊C4C22×D1111yescharacteristic
950C2×C4⋊C4C22×D1111yescharacteristic
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C22⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4—111no—
970C2×C22⋊C4—111no—
971C2×C22⋊C4—111no—
972C2×C22⋊C4—111no—
973C2×C22⋊C4—111no—
974C2×C22⋊C4—111no—
975C2×C22⋊C4—111no—
976C2×C22⋊C4—111no—
977C2×C22⋊C4—111no—
978C2×C22⋊C4—111no—
979C2×C22⋊C4—111no—
980C2×C22⋊C4—111no—
981C2×C22⋊C4—111no—
982C2×C22⋊C4C22×D1111yescharacteristic
983C2×C22⋊C4C22×D1111yescharacteristic
984C2×C22⋊C4C22×D1111yescharacteristic
985C2×C22⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4C22×D1111yescharacteristic
987C2×C22⋊C4C22×D1111yescharacteristic
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—111no—
1000C2×C42—111no—
1001C2×C42—111no—
1002C2×C42—111no—
1003C2×C42—111no—
1004C2×C42—111no—
1005C2×C42—111no—
1006C2×C42—111no—
1007C2×C42—111no—
1008C2×C42—224no—
1009C2×C42C22×D1111yescharacteristic
1010C2×C42C22×D1111yescharacteristic
1011C2×C42C22×D1111yescharacteristic
1012C2×C42C22×D1111yescharacteristic
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015C2×C42C22×D1111yescharacteristic
1016C2×C42C22×D1111yescharacteristic
1017C2×C42C22×D1111yescharacteristic
1018C2×C42C22×D1111yescharacteristic
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95C22×D1111yescharacteristic
1052#95C22×D1111yescharacteristic
1053#95C22×D1111yescharacteristic
1054#95C22×D1111yescharacteristic
1055#95C22×D1111yescharacteristic
1056#95C22×D1111yescharacteristic
1057#95C22×D1111yescharacteristic
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063C2×C11—81no—
1064C2×C11C2×#52911yescharacteristic
1065C2×C11#344411yescharacteristic
1066C2×C11C2×#54211yescharacteristic
1067C2×C11#348111yescharacteristic
1068C2×C11#348211yescharacteristic
1069C2×C11#348211yescharacteristic
1070C2×C11#348311yescharacteristic
1071D11—42no—
1072D11—81no—
1073C24—111no—
1074C24—111no—
1075C24C23×D1111yescharacteristic
1076C2×Q8—114no—
1077C2×Q8—222no—
1078C2×Q8—222no—
1079C2×Q8—222no—
1080C2×Q8—222no—
1081C2×Q8—222no—
1082C2×Q8—222no—
1083C2×Q8—441no—
1084C2×Q8—441no—
1085C2×D4—222no—
1086C2×D4—222no—
1087C2×D4—222no—
1088C2×D4—222no—
1089C2×D4—222no—
1090C2×D4—222no—
1091C2×D4—222no—
1092C2×D4—441no—
1093C2×D4—441no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—111no—
1098C22×C4—111no—
1099C22×C4—111no—
1100C22×C4—111no—
1101C22×C4—111no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—111no—
1108C22×C4—111no—
1109C22×C4—111no—
1110C22×C4—111no—
1111C22×C4—222no—
1112C22×C4—222no—
1113C22×C4—222no—
1114C22×C4—222no—
1115C22×C4—222no—
1116C22×C4—222no—
1117C22×C4—222no—
1118C22×C4—222no—
1119C22×C4—222no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4C23×D1111yescharacteristic
1124C22×C4C23×D1111yescharacteristic
1125C22×C4C23×D1111yescharacteristic
1126C22×C4C23×D1111yescharacteristic
1127C22×C4C23×D1111yescharacteristic
1128C22×C4C23×D1111yescharacteristic
1129C22×C4C23×D1111yescharacteristic
1130C22×C4C23×D1111yescharacteristic
1131C22×C4C23×D1111yescharacteristic
1132C22×C4C23×D1111yescharacteristic
1133C22×C4C23×D1111yescharacteristic
1134C22×C4C23×D1111yescharacteristic
1135C22×C4C23×D1111yescharacteristic
1136C22×C4C23×D1111yescharacteristic
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—114no—
1143C4⋊C4—222no—
1144C4⋊C4—222no—
1145C4⋊C4—222no—
1146C4⋊C4—222no—
1147C4⋊C4—222no—
1148C4⋊C4—222no—
1149C4⋊C4—222no—
1150C4⋊C4—222no—
1151C4⋊C4—222no—
1152C4⋊C4—222no—
1153C4⋊C4—222no—
1154C4⋊C4—222no—
1155C4⋊C4—222no—
1156C4⋊C4—222no—
1157C4⋊C4—222no—
1158C4⋊C4—222no—
1159C4⋊C4—222no—
1160C4⋊C4—441no—
1161C4⋊C4—441no—
1162C4⋊C4—441no—
1163C4⋊C4—441no—
1164C4⋊C4—441no—
1165C4⋊C4—441no—
1166C4⋊C4—441no—
1167C4⋊C4—441no—
1168C4⋊C4—441no—
1169C4⋊C4—441no—
1170C4⋊C4—441no—
1171C4⋊C4—441no—
1172C4⋊C4#433914yes—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—114no—
1180C22⋊C4—222no—
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—222no—
1199C22⋊C4—441no—
1200C22⋊C4—441no—
1201C22⋊C4—441no—
1202C22⋊C4—441no—
1203C22⋊C4—441no—
1204C22⋊C4—441no—
1205C22⋊C4—441no—
1206C22⋊C4—441no—
1207C42—22no—
1208C42—22no—
1209C42—22no—
1210C42—22no—
1211C42—22no—
1212C42—22no—
1213C42—22no—
1214C42—22no—
1215C42—22no—
1216C42—22no—
1217C42—114no—
1218C42—222no—
1219C42—222no—
1220C42—222no—
1221C42—222no—
1222C42—222no—
1223C42—222no—
1224C42—222no—
1225C42—222no—
1226C42—222no—
1227C42—222no—
1228C42—222no—
1229C42—222no—
1230C42—222no—
1231C42—222no—
1232C42—222no—
1233C42—222no—
1234C42—222no—
1235C42—222no—
1236C42—222no—
1237C11#3497411yescharacteristic, complemented, Sylow
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—112no—
1246C23—221no—
1247C23—221no—
1248C23—221no—
1249C23—221no—
1250C23—221no—
1251C23—221no—
1252C23—221no—
1253C23—221no—
1254C23—221no—
1255C23—221no—
1256C23—221no—
1257C23—221no—
1258C23—221no—
1259C23C24×D1111yescharacteristic
1260Q8—228no—
1261Q8—444no—
1262Q8—444no—
1263D4—444no—
1264D4—444no—
1265D4—444no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—44no—
1300C2×C4—112no—
1301C2×C4—112no—
1302C2×C4—112no—
1303C2×C4—112no—
1304C2×C4—112no—
1305C2×C4—112no—
1306C2×C4—112no—
1307C2×C4—228no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—221no—
1336C2×C4—221no—
1337C2×C4—221no—
1338C2×C4—221no—
1339C2×C4—221no—
1340C2×C4—221no—
1341C2×C4—221no—
1342C2×C4—221no—
1343C2×C4—444no—
1344C2×C4—444no—
1345C2×C4—444no—
1346C2×C4C2×#433912yes—
1347C2×C4C2×#433912yes—
1348C2×C4C2×#433912yes—
1349C2×C4#41×D1112yes—
1350C2×C4#41×D1112yes—
1351C2×C4#41×D1112yes—
1352C2×C4#41×D1112yes—
1353C2×C4#6704212yes—
1354C2×C4#6704312yes—
1355C22—41no—
1356C22—41no—
1357C22—41no—
1358C22—41no—
1359C22—41no—
1360C22—41no—
1361C22—41no—
1362C22—222no—
1363C22—222no—
1364C22—222no—
1365C22—441no—
1366C22—441no—
1367C22—441no—
1368C22—441no—
1369C22—441no—
1370C22—441no—
1371C22—441no—
1372C22—441no—
1373C22—441no—
1374C22—441no—
1375C22—441no—
1376C22C22×#433911yescharacteristic
1377C22C2×#41×D1111yescharacteristic
1378C22C2×#41×D1111yescharacteristic
1379C22C2×#41×D1111yescharacteristic
1380C22C2×#41×D1111yescharacteristic
1381C22C2×#6704211yescharacteristic
1382C22C2×#6704311yescharacteristic
1383C4—22no—
1384C4—22no—
1385C4—22no—
1386C4—22no—
1387C4—22no—
1388C4—22no—
1389C4—41no—
1390C4—41no—
1391C4—41no—
1392C4—41no—
1393C4—41no—
1394C4—41no—
1395C4—41no—
1396C4—114no—
1397C4—222no—
1398C4—222no—
1399C4—222no—
1400C4—222no—
1401C4—441no—
1402C4—441no—
1403C4—441no—
1404C4—441no—
1405C4—441no—
1406C4—441no—
1407C4—441no—
1408C4—441no—
1409C4—441no—
1410C4#1062324114yes—
1411C2—81no—
1412C2—442no—
1413C2—881no—
1414C2D11×#52911yescharacteristic
1415C2#1308190911yescharacteristic
1416C2C2×#1062324111yescharacteristic
1417C2#1308222211yescharacteristic
1418C2#1308222911yescharacteristic
1419C2#1308223111yescharacteristic
1420C2#1308224211yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×#126C2
prime radicalC2×#66937C22
hypercenterC4×#126D11
hypocenterC11#34974
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#126

Complements

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

NH ≅ G/Ntype
1. #13073476C2semidirect
2. #13073474C2semidirect
3. #13073439C2semidirect
4. #13073437C2semidirect
5. #13073201C2semidirect
6. #13073151C2semidirect
7. #13073026C2semidirect
9. #13072845C2semidirect
10. #13072843C2semidirect
11. #13072778C2semidirect
12. #13072776C2semidirect
13. #13072454C2semidirect
14. #13072411C2semidirect
16. #13072140C2semidirect
17. #13071890C2semidirect
18. #13071888C2semidirect
19. #13071879C2semidirect
20. #13071876C2semidirect
21. C4×#66941C2semidirect
22. C4×#66951C2semidirect
23. C4×#66928C2semidirect
24. C4×#66938C2semidirect
25. C4×#66938C2semidirect
26. C4×#66949C2semidirect
28. #13071079C2semidirect
29. C42×Dic22C2semidirect
30. C4×#66945C2semidirect
31. C4×C11×#126C2semidirect
550. C4×#126D11semidirect
1237. C11#34974semidirect

Maximal subgroups

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

subgroupindex
#130734762
#130734742
#130734392
#130734372
#130732012
#130731512
#130730262
#130729782
#130728452
#130728432
#130727782
#130727762
#130724542
#130724112
#130721812
#130721402
#130718902
#130718882
#130718792
#130718762
C4×#669412
C4×#669512
C4×#669282
C4×#669382
C4×#669492
C4×#669372
#130710792
C42×Dic222
C4×#669452
C4×C11×#1262
#3497411