Finite Group Databasebeta

← D11×#2653 #14920260

Subgroups — D11×#2653 #14920260

Order 2816.

2394 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074686C211yesmaximal, characteristic, complemented
2#13074685C211yesmaximal, characteristic, complemented
3#13074684C211yesmaximal, characteristic, complemented
4#13074683C211yesmaximal, characteristic, complemented
5#13074682C211yesmaximal, characteristic, complemented
6#13074681C211yesmaximal, characteristic, complemented
7#13074680C211yesmaximal, characteristic, complemented
8#13074679C211yesmaximal, characteristic, complemented
9#13074678C211yesmaximal, characteristic, complemented
10#13074677C211yesmaximal, characteristic, complemented
11#13074676C211yesmaximal, characteristic, complemented
12#13074675C211yesmaximal, characteristic, complemented
13#13074674C211yesmaximal, characteristic, complemented
14#13074673C211yesmaximal, characteristic, complemented
15#13074672C211yesmaximal, characteristic, complemented
16D11×#401C211yesmaximal, characteristic, complemented
17D11×#398C211yesmaximal, characteristic, complemented
18D11×#397C211yesmaximal, characteristic, complemented
19D11×#397C211yesmaximal, characteristic, complemented
20D11×#394C211yesmaximal, characteristic
21D11×#394C211yesmaximal, characteristic
22D11×#393C211yesmaximal, characteristic, complemented
23D11×#393C211yesmaximal, characteristic, complemented
24D11×#391C211yesmaximal, characteristic, complemented
25D11×#388C211yesmaximal, characteristic, complemented
26D11×#388C211yesmaximal, characteristic, complemented
27D11×#387C211yesmaximal, characteristic, complemented
28D11×#386C211yesmaximal, characteristic
29D11×#385C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2653C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C22×D4×D11C2211yescharacteristic
34C23×C4×D11C2211yescharacteristic
35C2×C4⋊C4×D11C2211yescharacteristic
36C2×C4⋊C4×D11C2211yescharacteristic
37C2×C4⋊C4×D11C2211yescharacteristic
38C2×C4⋊C4×D11C2211yescharacteristic
39C2×C4⋊C4×D11C2211yescharacteristic
40C2×C22⋊C4×D11C2211yescharacteristic
41C2×C22⋊C4×D11C2211yescharacteristic
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×C22⋊C4×D11C2211yescharacteristic
45C2×C22⋊C4×D11C2211yescharacteristic
46C2×C22⋊C4×D11C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C22⋊C4×D11C2211yescharacteristic
51C2×C42×D11C2211yescharacteristic
52C2×C42×D11C2211yescharacteristic
53C11×#401C2211yescharacteristic, complemented
54C11×#398C2211yescharacteristic, complemented
55C11×#397C2211yescharacteristic, complemented
56C11×#397C2211yescharacteristic, complemented
57C11×#394C2211yescharacteristic
58C11×#394C2211yescharacteristic
59C11×#393C2211yescharacteristic, complemented
60C11×#393C2211yescharacteristic, complemented
61C11×#391C2211yescharacteristic, complemented
62C11×#388C2211yescharacteristic, complemented
63C11×#388C2211yescharacteristic, complemented
64C11×#387C2211yescharacteristic, complemented
65C11×#386C2211yescharacteristic
66C11×#385C2211yescharacteristic, complemented
67C4×C11×C22⋊C4C2211yescharacteristic, complemented
68#10622844C2211yescharacteristic, complemented
69#10622844C2211yescharacteristic, complemented
70#10622843C2211yescharacteristic, complemented
71#10622835C2211yescharacteristic
72#10622835C2211yescharacteristic
73#10622833C2211yescharacteristic
74#10622826C2211yescharacteristic
75#10622823C2211yescharacteristic, complemented
76C4×C22⋊Dic11C2211yescharacteristic, complemented
77#10622606C2211yescharacteristic, complemented
78#10622606C2211yescharacteristic, complemented
79#10622604C2211yescharacteristic
80#10622604C2211yescharacteristic
81#10622603C2211yescharacteristic, complemented
82#10622603C2211yescharacteristic, complemented
83#10622602C2211yescharacteristic, complemented
84#10622602C2211yescharacteristic, complemented
85#10622597C2211yescharacteristic, complemented
86#10622597C2211yescharacteristic, complemented
87#10622596C2211yescharacteristic, complemented
88#10622594C2211yescharacteristic, complemented
89#10622593C2211yescharacteristic, complemented
90#10622591C2211yescharacteristic, complemented
91#10622587C2211yescharacteristic, complemented
92#10622574C2211yescharacteristic
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622572C2211yescharacteristic
97#10622572C2211yescharacteristic
98#10622572C2211yescharacteristic
99#10622572C2211yescharacteristic
100#10622571C2211yescharacteristic
101#10622569C2211yescharacteristic
102#10622569C2211yescharacteristic
103#10622566C2211yescharacteristic, complemented
104#10622566C2211yescharacteristic, complemented
105#10622565C2211yescharacteristic, complemented
106#10622565C2211yescharacteristic, complemented
107#10622565C2211yescharacteristic, complemented
108#10622565C2211yescharacteristic, complemented
109#10622564C2211yescharacteristic, complemented
110#10622564C2211yescharacteristic, complemented
111#10622563C2211yescharacteristic, complemented
112#10622560C2211yescharacteristic, complemented
113#10622560C2211yescharacteristic, complemented
114#10622560C2211yescharacteristic, complemented
115#10622560C2211yescharacteristic, complemented
116#10622560C2211yescharacteristic, complemented
117#10622560C2211yescharacteristic, complemented
118#10622559C2211yescharacteristic, complemented
119#10622558C2211yescharacteristic, complemented
120#10622558C2211yescharacteristic, complemented
121#10622557C2211yescharacteristic, complemented
122#10622557C2211yescharacteristic, complemented
123C22⋊C4×Dic11C2211yescharacteristic, complemented
124C22⋊C4×Dic11C2211yescharacteristic, complemented
125#10622553C2211yescharacteristic, complemented
126#10622553C2211yescharacteristic, complemented
127C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
128C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
129#10622546C2211yescharacteristic, complemented
130#10622542C2211yescharacteristic, complemented
131#10622288C2211yescharacteristic, complemented
132#10622288C2211yescharacteristic, complemented
133#10622288C2211yescharacteristic, complemented
134#10622288C2211yescharacteristic, complemented
135#10622287C2211yescharacteristic, complemented
136#10622287C2211yescharacteristic, complemented
137#10622286C2211yescharacteristic, complemented
138#10622286C2211yescharacteristic, complemented
139#10622286C2211yescharacteristic, complemented
140#10622286C2211yescharacteristic, complemented
141#10622286C2211yescharacteristic, complemented
142#10622286C2211yescharacteristic, complemented
143#10622285C2211yescharacteristic
144#10622285C2211yescharacteristic
145#10622283C2211yescharacteristic, complemented
146#10622283C2211yescharacteristic, complemented
147#10622282C2211yescharacteristic, complemented
148#10622282C2211yescharacteristic, complemented
149#10622281C2211yescharacteristic, complemented
150#10622281C2211yescharacteristic, complemented
151#10622279C2211yescharacteristic, complemented
152#10622279C2211yescharacteristic, complemented
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155D11×#95C2211yescharacteristic
156D11×#95C2211yescharacteristic
157D11×#95C2211yescharacteristic
158D11×#95C2211yescharacteristic
159D11×#95C2211yescharacteristic
160D11×#95C2211yescharacteristic
161D11×#95C2211yescharacteristic
162D11×#95C2211yescharacteristic
163D11×#95C2211yescharacteristic
164D11×#95C2211yescharacteristic
165D11×#95C2211yescharacteristic
166D11×#95C2211yescharacteristic
167D11×#95C2211yescharacteristic
168D11×#95C2211yescharacteristic
169C11⋊#401C2211yescharacteristic, complemented
170C11⋊#401C2211yescharacteristic, complemented
171C11⋊#401C2211yescharacteristic, complemented
172C11⋊#401C2211yescharacteristic, complemented
173C11⋊#401C2211yescharacteristic, complemented
174C11⋊#401C2211yescharacteristic, complemented
175C11⋊#401C2211yescharacteristic, complemented
176#10622274C2211yescharacteristic, complemented
177#10622270C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C2×Q8×D11—24no—
196C2×Q8×D11—42no—
197C2×Q8×D11—42no—
198C2×D4×D11—24no—
199C2×D4×D11—42no—
200C2×D4×D11—42no—
201C22×D44C2311yescharacteristic
202C22×C4×D11—24no—
203C22×C4×D11—42no—
204C22×C4×D11—42no—
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C22×Dic22C2311yescharacteristic
222C22×Dic22C2311yescharacteristic
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C4⋊C4×D11—24no—
296C4⋊C4×D11—42no—
297C4⋊C4×D11—42no—
298C4⋊C4×D11—42no—
299C4⋊C4×D11—42no—
300C22⋊C4×D11—24no—
301C22⋊C4×D11—24no—
302C22⋊C4×D11—24no—
303C22⋊C4×D11—24no—
304C22⋊C4×D11—24no—
305C22⋊C4×D11—42no—
306C22⋊C4×D11—42no—
307C22⋊C4×D11—42no—
308C22⋊C4×D11—42no—
309C22⋊C4×D11—42no—
310C22⋊C4×D11—42no—
311C42×D11—42no—
312C42×D11—42no—
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
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
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C2×#2653—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C23×D11—22no—
373C23×D11—22no—
374C23×D11—22no—
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—22no—
378C23×D11—22no—
379C23×D11—22no—
380C23×D11—22no—
381C23×D11—22no—
382C23×D11—22no—
383C23×D11—22no—
384C23×D11—22no—
385C23×D11#4114yes—
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C2×Q8×C11—22no—
390C2×Q8×C11—41no—
391C2×Q8×C11—41no—
392C2×D4×C11—22no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C22×C4×C11—22no—
396C22×C4×C11—41no—
397C22×C4×C11—41no—
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C22×Dic11—22no—
418C22×Dic11—41no—
419C22×Dic11—41no—
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433Q8×D11—416no—
434D4×D11—416no—
435C2×D44—22no—
436C2×D44—41no—
437C2×D44—41no—
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—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—22no—
464C2×C4×D11—22no—
465C2×C4×D11—22no—
466C2×C4×D11—22no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—41no—
478C2×C4×D11—41no—
479C2×C4×D11—41no—
480C2×C4×D11—41no—
481C2×C4×D11—416no—
482C2×C4×D11#4114yes—
483C2×C4×D11#4114yes—
484C2×Dic22—22no—
485C2×Dic22—22no—
486C2×Dic22—22no—
487C2×Dic22—41no—
488C2×Dic22—41no—
489C2×Dic22—41no—
490C2×Dic22—41no—
491C2×Dic22—41no—
492C2×Dic22—41no—
493C11×C4⋊C4—22no—
494C11×C4⋊C4—41no—
495C11×C4⋊C4—41no—
496C11×C4⋊C4—41no—
497C11×C4⋊C4—41no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—41no—
504C11×C22⋊C4—41no—
505C11×C22⋊C4—41no—
506C11×C22⋊C4—41no—
507C11×C22⋊C4—41no—
508C11×C22⋊C4—41no—
509C42×C11—41no—
510C42×C11—41no—
511C22⋊Dic11—22no—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521C22⋊Dic11—41no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544C4⋊Dic11—22no—
545C4⋊Dic11—41no—
546C4⋊Dic11—41no—
547C4⋊Dic11—41no—
548C4⋊Dic11—41no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563C4×Dic11—41no—
564C4×Dic11—41no—
565#2653—111no—
566#2653—111no—
567#2653—111no—
568#2653—111no—
569#2653—111no—
570#2653—111no—
571#2653—111no—
572#2653—111no—
573#2653—111no—
574#2653—111no—
575#2653—111no—
576#2653—111no—
577#2653—111no—
578#2653—111no—
579#2653—111no—
580#2653D1111yescharacteristic, direct product factor
581C2×#401—111no—
582C2×#398—111no—
583C2×#397—111no—
584C2×#397—111no—
585C2×#394—111no—
586C2×#394—111no—
587C2×#393—111no—
588C2×#393—111no—
589C2×#391—111no—
590C2×#388—111no—
591C2×#388—111no—
592C2×#387—111no—
593C2×#386—111no—
594C2×#385—111no—
595C2×C4×C22⋊C4—111no—
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—28no—
618C22×D11—28no—
619C22×D11—28no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—44no—
628C22×D11—44no—
629C22×D11—44no—
630C22×D11—44no—
631C22×D11—44no—
632C22×D11—44no—
633C22×D11—44no—
634C22×D11—44no—
635C22×D11—44no—
636C22×D11—44no—
637C22×D11—44no—
638C22×D11C2×#4112yes—
639C22×D11C2×#4112yes—
640C22×D11C2×#4112yes—
641C22×D11C2×#4112yes—
642C22×D11H(5,𝔽2)12yes—
643C22×D11H(5,𝔽2)12yes—
644C22×D11H(5,𝔽2)12yes—
645C22×D112−1+412yes—
646Q8×C11—44no—
647D4×C11—44no—
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—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—44no—
686C2×C4×C11C2×#4112yes—
687C2×C4×C11C2×#4112yes—
688C22⋊D11—44no—
689C22⋊D11—44no—
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—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—44no—
728C2×Dic11C2×#4112yes—
729C2×Dic11C2×#4112yes—
730D44—44no—
731C4×D11—28no—
732C4×D11—28no—
733C4×D11—44no—
734C4×D11—44no—
735C4×D11—44no—
736C4×D11—44no—
737C4×D11—44no—
738C4×D11—44no—
739C4×D11—44no—
740C4×D11—44no—
741C4×D11—44no—
742C4×D11—44no—
743C4×D11—44no—
744C4×D11—44no—
745C4×D11—44no—
746Dic22—44no—
747Dic22—44no—
748Dic22—44no—
749C23×Q8—111no—
750C23×D4—111no—
751C24×C4—111no—
752C22×C4⋊C4—111no—
753C22×C4⋊C4—111no—
754C22×C4⋊C4—111no—
755C22×C4⋊C4—111no—
756C22×C4⋊C4—111no—
757C22×C22⋊C4—111no—
758C22×C22⋊C4—111no—
759C22×C22⋊C4—111no—
760C22×C22⋊C4—111no—
761C22×C22⋊C4—111no—
762C22×C22⋊C4—111no—
763C22×C22⋊C4—111no—
764C22×C22⋊C4—111no—
765C22×C22⋊C4—111no—
766C22×C22⋊C4—111no—
767C22×C22⋊C4—111no—
768C22×C42—111no—
769C22×C42—111no—
770#401—111no—
771#401—111no—
772#401—111no—
773#401—111no—
774#401—111no—
775#401—111no—
776#401—111no—
777#401C2×D1111yescharacteristic, complemented
778#398—111no—
779#398—111no—
780#398—111no—
781#398—111no—
782#398—111no—
783#398—111no—
784#398—111no—
785#398C2×D1111yescharacteristic, complemented
786#397—111no—
787#397—111no—
788#397—111no—
789#397—111no—
790#397—111no—
791#397—111no—
792#397—111no—
793#397—111no—
794#397—111no—
795#397—111no—
796#397—111no—
797#397—111no—
798#397—111no—
799#397—111no—
800#397C2×D1111yescharacteristic, complemented
801#397C2×D1111yescharacteristic, complemented
802#394—111no—
803#394—111no—
804#394—111no—
805#394—111no—
806#394—111no—
807#394—111no—
808#394—111no—
809#394—111no—
810#394—111no—
811#394—111no—
812#394—111no—
813#394—111no—
814#394—111no—
815#394—111no—
816#394C2×D1111yescharacteristic
817#394C2×D1111yescharacteristic
818#393—111no—
819#393—111no—
820#393—111no—
821#393—111no—
822#393—111no—
823#393—111no—
824#393—111no—
825#393—111no—
826#393—111no—
827#393—111no—
828#393—111no—
829#393—111no—
830#393—111no—
831#393—111no—
832#393C2×D1111yescharacteristic, complemented
833#393C2×D1111yescharacteristic, complemented
834#391—111no—
835#391—111no—
836#391—111no—
837#391—111no—
838#391—111no—
839#391—111no—
840#391—111no—
841#391C2×D1111yescharacteristic, complemented
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388C2×D1111yescharacteristic, complemented
857#388C2×D1111yescharacteristic, complemented
858#387—111no—
859#387—111no—
860#387—111no—
861#387—111no—
862#387—111no—
863#387—111no—
864#387—111no—
865#387C2×D1111yescharacteristic, complemented
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386C2×D1111yescharacteristic
874#385—111no—
875#385—111no—
876#385—111no—
877#385—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#385C2×D1111yescharacteristic, complemented
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888C4×C22⋊C4—111no—
889C4×C22⋊C4C2×D1111yescharacteristic, complemented
890C2×#95—111no—
891C2×#95—111no—
892C2×#95—111no—
893C2×#95—111no—
894C2×#95—111no—
895C2×#95—111no—
896C2×#95—111no—
897C2×#95—111no—
898C2×#95—111no—
899C2×#95—111no—
900C2×#95—111no—
901C2×#95—111no—
902C2×#95—111no—
903C2×#95—111no—
904C22×C11—22no—
905C22×C11—22no—
906C22×C11—22no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11C22×#4111yescharacteristic
919C22×C11C22×#4111yescharacteristic
920C22×C11C22×#4111yescharacteristic
921C22×C11C2×H(5,𝔽2)11yescharacteristic
922C22×C11C2×H(5,𝔽2)11yescharacteristic
923C22×C11C2×H(5,𝔽2)11yescharacteristic
924C22×C11C2×2−1+411yescharacteristic
925C2×D11—22no—
926C2×D11—22no—
927C2×D11—22no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—416no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C2×D11—41no—
940C2×D11—88no—
941C2×D11#52914yes—
942C2×D11#53814yes—
943C2×D11#53814yes—
944C2×D11#53814yes—
945C2×D11#53914yes—
946C2×D11#54214yes—
947C2×D11#54214yes—
948C4×C11—22no—
949C4×C11—22no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11—41no—
957C4×C11—41no—
958C4×C11—41no—
959C4×C11—41no—
960C4×C11—41no—
961Dic11—22no—
962Dic11—22no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968Dic11—41no—
969Dic11—41no—
970Dic11—41no—
971Dic11—41no—
972Dic11—41no—
973Dic11—41no—
974C25—111no—
975C25—111no—
976C22×Q8—111no—
977C22×Q8—111no—
978C22×Q8—111no—
979C22×Q8—224no—
980C22×Q8—442no—
981C22×Q8—442no—
982C22×Q8C22×D1111yescharacteristic
983C22×D4—111no—
984C22×D4—111no—
985C22×D4—111no—
986C22×D4—224no—
987C22×D4—442no—
988C22×D4—442no—
989C22×D4C22×D1111yescharacteristic
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998C23×C4—111no—
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—224no—
1007C23×C4—442no—
1008C23×C4—442no—
1009C23×C4C22×D1111yescharacteristic
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—224no—
1026C2×C4⋊C4—442no—
1027C2×C4⋊C4—442no—
1028C2×C4⋊C4—442no—
1029C2×C4⋊C4—442no—
1030C2×C4⋊C4C22×D1111yescharacteristic
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
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—224no—
1069C2×C22⋊C4—224no—
1070C2×C22⋊C4—224no—
1071C2×C22⋊C4—224no—
1072C2×C22⋊C4—224no—
1073C2×C22⋊C4—442no—
1074C2×C22⋊C4—442no—
1075C2×C22⋊C4—442no—
1076C2×C22⋊C4—442no—
1077C2×C22⋊C4—442no—
1078C2×C22⋊C4—442no—
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—442no—
1097C2×C42—442no—
1098C2×C42C22×D1111yescharacteristic
1099C2×C42C22×D1111yescharacteristic
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#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95C22×D1111yescharacteristic
1143#95C22×D1111yescharacteristic
1144#95C22×D1111yescharacteristic
1145#95C22×D1111yescharacteristic
1146#95C22×D1111yescharacteristic
1147#95C22×D1111yescharacteristic
1148#95C22×D1111yescharacteristic
1149#95C22×D1111yescharacteristic
1150#95C22×D1111yescharacteristic
1151#95C22×D1111yescharacteristic
1152#95C22×D1111yescharacteristic
1153#95C22×D1111yescharacteristic
1154#95C22×D1111yescharacteristic
1155#95C22×D1111yescharacteristic
1156C2×C11—42no—
1157C2×C11—81no—
1158C2×C11C2×#52911yescharacteristic
1159C2×C11C2×#53811yescharacteristic
1160C2×C11C2×#53811yescharacteristic
1161C2×C11C2×#53811yescharacteristic
1162C2×C11C2×#53911yescharacteristic
1163C2×C11C2×#54211yescharacteristic
1164C2×C11C2×#54211yescharacteristic
1165D11—42no—
1166D11—81no—
1167D11#265318yesdirect product factor
1168C24—111no—
1169C24—114no—
1170C24—111no—
1171C24—111no—
1172C24—222no—
1173C24—222no—
1174C24—222no—
1175C24—222no—
1176C24—222no—
1177C24—222no—
1178C24—222no—
1179C24—222no—
1180C24—222no—
1181C24—222no—
1182C24—222no—
1183C24—222no—
1184C24—222no—
1185C24C23×D1111yescharacteristic
1186C24C23×D1111yescharacteristic
1187C2×Q8—22no—
1188C2×Q8—41no—
1189C2×Q8—41no—
1190C2×Q8—222no—
1191C2×Q8—222no—
1192C2×Q8—222no—
1193C2×Q8—441no—
1194C2×Q8—441no—
1195C2×Q8—441no—
1196C2×Q8—441no—
1197C2×Q8—441no—
1198C2×Q8—441no—
1199C2×Q8—4416no—
1200C2×D4—22no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—222no—
1204C2×D4—222no—
1205C2×D4—222no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—4416no—
1213C22×C4—22no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—111no—
1217C22×C4—111no—
1218C22×C4—114no—
1219C22×C4—114no—
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—222no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—222no—
1238C22×C4—222no—
1239C22×C4—222no—
1240C22×C4—222no—
1241C22×C4—222no—
1242C22×C4—222no—
1243C22×C4—222no—
1244C22×C4—222no—
1245C22×C4—222no—
1246C22×C4—222no—
1247C22×C4—222no—
1248C22×C4—222no—
1249C22×C4—222no—
1250C22×C4—222no—
1251C22×C4—222no—
1252C22×C4—222no—
1253C22×C4—222no—
1254C22×C4—222no—
1255C22×C4—222no—
1256C22×C4—222no—
1257C22×C4—222no—
1258C22×C4—222no—
1259C22×C4—222no—
1260C22×C4—222no—
1261C22×C4—222no—
1262C22×C4—222no—
1263C22×C4—222no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—4416no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4C23×D1111yescharacteristic
1279C22×C4C23×D1111yescharacteristic
1280C22×C4C23×D1111yescharacteristic
1281C22×C4C23×D1111yescharacteristic
1282C22×C4C23×D1111yescharacteristic
1283C22×C4C23×D1111yescharacteristic
1284C22×C4C23×D1111yescharacteristic
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—222no—
1297C4⋊C4—222no—
1298C4⋊C4—222no—
1299C4⋊C4—441no—
1300C4⋊C4—441no—
1301C4⋊C4—441no—
1302C4⋊C4—441no—
1303C4⋊C4—441no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4—441no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—222no—
1323C22⋊C4—222no—
1324C22⋊C4—222no—
1325C22⋊C4—222no—
1326C22⋊C4—222no—
1327C22⋊C4—222no—
1328C22⋊C4—222no—
1329C22⋊C4—222no—
1330C22⋊C4—222no—
1331C22⋊C4—222no—
1332C22⋊C4—222no—
1333C22⋊C4—222no—
1334C22⋊C4—222no—
1335C22⋊C4—222no—
1336C22⋊C4—222no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C22⋊C4—441no—
1351C22⋊C4—441no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C42—41no—
1356C42—41no—
1357C42—441no—
1358C42—441no—
1359C42—441no—
1360C42—441no—
1361C42—441no—
1362C42—441no—
1363C11C2×#265311yescharacteristic, complemented, Sylow
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—112no—
1378C23—112no—
1379C23—112no—
1380C23—112no—
1381C23—112no—
1382C23—112no—
1383C23—112no—
1384C23—112no—
1385C23—228no—
1386C23—228no—
1387C23—228no—
1388C23—221no—
1389C23—221no—
1390C23—221no—
1391C23—221no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23—221no—
1396C23—221no—
1397C23—221no—
1398C23—221no—
1399C23—221no—
1400C23—221no—
1401C23—444no—
1402C23—444no—
1403C23—444no—
1404C23—444no—
1405C23—444no—
1406C23—444no—
1407C23—444no—
1408C23—444no—
1409C23—444no—
1410C23—444no—
1411C23—444no—
1412C23#41×D1112yes—
1413C23C24×D1111yescharacteristic
1414Q8—44no—
1415Q8—444no—
1416Q8—444no—
1417Q8—444no—
1418D4—44no—
1419D4—444no—
1420D4—444no—
1421D4—444no—
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—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—44no—
1460C2×C4—112no—
1461C2×C4—112no—
1462C2×C4—228no—
1463C2×C4—228no—
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—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—444no—
1502C2×C4—444no—
1503C2×C4—444no—
1504C2×C4—444no—
1505C2×C4—444no—
1506C2×C4—444no—
1507C2×C4—444no—
1508C2×C4—444no—
1509C2×C4—444no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—444no—
1513C2×C4—444no—
1514C2×C4—444no—
1515C2×C4#41×D1112yes—
1516C2×C4#41×D1112yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—114no—
1532C22—114no—
1533C22—114no—
1534C22—114no—
1535C22—114no—
1536C22—114no—
1537C22—114no—
1538C22—222no—
1539C22—222no—
1540C22—222no—
1541C22—4416no—
1542C22—441no—
1543C22—441no—
1544C22—441no—
1545C22—441no—
1546C22—441no—
1547C22—441no—
1548C22—441no—
1549C22—441no—
1550C22—441no—
1551C22—441no—
1552C22—441no—
1553C22—888no—
1554C22C2×#41×D1111yescharacteristic
1555C22C2×#41×D1111yescharacteristic
1556C22C2×#41×D1111yescharacteristic
1557C22D11×H(5,𝔽2)11yescharacteristic
1558C22D11×H(5,𝔽2)11yescharacteristic
1559C22D11×H(5,𝔽2)11yescharacteristic
1560C22D11×2−1+411yescharacteristic
1561C4—22no—
1562C4—22no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—222no—
1575C4—222no—
1576C4—441no—
1577C4—441no—
1578C4—441no—
1579C4—441no—
1580C4—441no—
1581C4—441no—
1582C4—441no—
1583C4—441no—
1584C4—441no—
1585C4—441no—
1586C4—441no—
1587C2—42no—
1588C2—81no—
1589C2—118no—
1590C2—442no—
1591C2—881no—
1592C2D11×#52911yescharacteristic
1593C2D11×#53811yescharacteristic
1594C2D11×#53811yescharacteristic
1595C2D11×#53811yescharacteristic
1596C2D11×#53911yescharacteristic
1597C2D11×#54211yescharacteristic
1598C2D11×#54211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2653C2
prime radicalC22×D4×D11C22
hypercenter#2653D11
hypocenterC11C2×#2653
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2653

Complements

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

NH ≅ G/Ntype
1. #13074686C2semidirect
2. #13074685C2semidirect
3. #13074684C2semidirect
4. #13074683C2semidirect
5. #13074682C2semidirect
6. #13074681C2semidirect
7. #13074680C2semidirect
8. #13074679C2semidirect
9. #13074678C2semidirect
10. #13074677C2semidirect
11. #13074676C2semidirect
12. #13074675C2semidirect
13. #13074674C2semidirect
14. #13074673C2semidirect
15. #13074672C2semidirect
16. D11×#401C2semidirect
17. D11×#398C2semidirect
18. D11×#397C2semidirect
19. D11×#397C2semidirect
22. D11×#393C2semidirect
23. D11×#393C2semidirect
24. D11×#391C2semidirect
25. D11×#388C2semidirect
26. D11×#388C2semidirect
27. D11×#387C2semidirect
29. D11×#385C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2653C2semidirect
53. C11×#401C22semidirect
54. C11×#398C22semidirect
55. C11×#397C22semidirect
56. C11×#397C22semidirect
59. C11×#393C22semidirect
60. C11×#393C22semidirect
61. C11×#391C22semidirect
62. C11×#388C22semidirect
63. C11×#388C22semidirect
64. C11×#387C22semidirect
66. C11×#385C22semidirect
67. C4×C11×C22⋊C4C22semidirect
68. #10622844C22semidirect
69. #10622844C22semidirect
70. #10622843C22semidirect
75. #10622823C22semidirect
76. C4×C22⋊Dic11C22semidirect
77. #10622606C22semidirect
78. #10622606C22semidirect
81. #10622603C22semidirect
82. #10622603C22semidirect
83. #10622602C22semidirect
84. #10622602C22semidirect
85. #10622597C22semidirect
86. #10622597C22semidirect
87. #10622596C22semidirect
88. #10622594C22semidirect
89. #10622593C22semidirect
90. #10622591C22semidirect
91. #10622587C22semidirect
103. #10622566C22semidirect
104. #10622566C22semidirect
105. #10622565C22semidirect
106. #10622565C22semidirect
107. #10622565C22semidirect
108. #10622565C22semidirect
109. #10622564C22semidirect
110. #10622564C22semidirect
111. #10622563C22semidirect
112. #10622560C22semidirect
113. #10622560C22semidirect
114. #10622560C22semidirect
115. #10622560C22semidirect
116. #10622560C22semidirect
117. #10622560C22semidirect
118. #10622559C22semidirect
119. #10622558C22semidirect
120. #10622558C22semidirect
121. #10622557C22semidirect
122. #10622557C22semidirect
123. C22⋊C4×Dic11C22semidirect
124. C22⋊C4×Dic11C22semidirect
125. #10622553C22semidirect
126. #10622553C22semidirect
127. C4×(C2×D11)⋊C4C22semidirect
128. C4×(C2×D11)⋊C4C22semidirect
129. #10622546C22semidirect
130. #10622542C22semidirect
131. #10622288C22semidirect
132. #10622288C22semidirect
133. #10622288C22semidirect
134. #10622288C22semidirect
135. #10622287C22semidirect
136. #10622287C22semidirect
137. #10622286C22semidirect
138. #10622286C22semidirect
139. #10622286C22semidirect
140. #10622286C22semidirect
141. #10622286C22semidirect
142. #10622286C22semidirect
145. #10622283C22semidirect
146. #10622283C22semidirect
147. #10622282C22semidirect
148. #10622282C22semidirect
149. #10622281C22semidirect
150. #10622281C22semidirect
151. #10622279C22semidirect
152. #10622279C22semidirect
169. C11⋊#401C22semidirect
170. C11⋊#401C22semidirect
171. C11⋊#401C22semidirect
172. C11⋊#401C22semidirect
173. C11⋊#401C22semidirect
174. C11⋊#401C22semidirect
175. C11⋊#401C22semidirect
176. #10622274C22semidirect
177. #10622270C22semidirect
178. #10622270C22semidirect
179. #10622268C22semidirect
180. #10622267C22semidirect
181. #10622266C22semidirect
182. #10622265C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
580. #2653D11direct (N × H)
777. #401C2×D11semidirect
785. #398C2×D11semidirect
800. #397C2×D11semidirect
801. #397C2×D11semidirect
832. #393C2×D11semidirect
833. #393C2×D11semidirect
841. #391C2×D11semidirect
856. #388C2×D11semidirect
857. #388C2×D11semidirect
865. #387C2×D11semidirect
881. #385C2×D11semidirect
889. C4×C22⋊C4C2×D11semidirect
1167. D11#2653direct (N × H)
1363. C11C2×#2653semidirect

Maximal subgroups

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

subgroupindex
#130746862
#130746852
#130746842
#130746832
#130746822
#130746812
#130746802
#130746792
#130746782
#130746772
#130746762
#130746752
#130746742
#130746732
#130746722
D11×#4012
D11×#3982
D11×#3972
D11×#3942
D11×#3932
D11×#3912
D11×#3882
D11×#3872
D11×#3862
D11×#3852
C4×C22⋊C4×D112
C11×#26532
C2×#265311