Finite Group Databasebeta

← #14925345

Subgroups — #14925345

Order 2816.

2458 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623059C211yesmaximal, characteristic, complemented
2#13073758C211yesmaximal, characteristic, complemented
3#13073756C211yesmaximal, characteristic, complemented
4#13073743C211yesmaximal, characteristic, complemented
5#13073741C211yesmaximal, characteristic, complemented
6#13073728C211yesmaximal, characteristic, complemented
7#13073726C211yesmaximal, characteristic, complemented
8#13073713C211yesmaximal, characteristic, complemented
9#13073711C211yesmaximal, characteristic, complemented
10#13073201C211yesmaximal, characteristic, complemented
11#13073131C211yesmaximal, characteristic, complemented
12#13073035C211yesmaximal, characteristic, complemented
13#13072976C211yesmaximal, characteristic, complemented
14#13072465C211yesmaximal, characteristic, complemented
15#13072380C211yesmaximal, characteristic, complemented
16#13072201C211yesmaximal, characteristic
17#13072127C211yesmaximal, characteristic, complemented
18#13071900C211yesmaximal, characteristic, complemented
19#13071899C211yesmaximal, characteristic, complemented
20#13071858C211yesmaximal, characteristic, complemented
21#13071858C211yesmaximal, characteristic, complemented
22C4×#66997C211yesmaximal, characteristic, complemented
23C4×#66993C211yesmaximal, characteristic, complemented
24C4×#66992C211yesmaximal, characteristic, complemented
25C4×#66992C211yesmaximal, characteristic, complemented
26#13071075C211yesmaximal, characteristic, complemented
27#13071059C211yesmaximal, characteristic, complemented
28#13071053C211yesmaximal, characteristic, complemented
29C42×C22⋊D11C211yesmaximal, characteristic, complemented
30#117×Dic11C211yesmaximal, characteristic, complemented
31C2×C11×#529C211yesmaximal, characteristic, complemented
32C11×#529—28no—
33C2×C11×#126C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#125C2211yescharacteristic
36C2×C11×#124C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×C22⋊Q8C2211yescharacteristic
40C2×C11×#121C2211yescharacteristic
41C2×C4×Q8×C11C2211yescharacteristic
42C2×C4×D4×C11C2211yescharacteristic
43C2×C4×D4×C11C2211yescharacteristic
44C2×C4×D4×C11C2211yescharacteristic
45C2×C11×#117C2211yescharacteristic
46C2×C11×#117C2211yescharacteristic
47C22×C42×C11C2211yescharacteristic
48C2×#66997C2211yescharacteristic
49C2×#66993C2211yescharacteristic
50C2×#66992C2211yescharacteristic
51C2×#66992C2211yescharacteristic
52C2×C4×C22⋊D11C2211yescharacteristic
53C2×C4×C22⋊D11C2211yescharacteristic
54C2×C4×C22⋊D11C2211yescharacteristic
55C2×C4×C22⋊D11C2211yescharacteristic
56C2×C4×C22⋊D11C2211yescharacteristic
57C2×C4×C22⋊D11C2211yescharacteristic
58C2×C4×C22⋊D11C2211yescharacteristic
59C2×C4×C22⋊D11C2211yescharacteristic
60C2×#66979C2211yescharacteristic
61C22×C4×Dic11C2211yescharacteristic
62#10623059—28no—
63C2×#66951C2211yescharacteristic
64C2×#66949C2211yescharacteristic
65C2×#66947C2211yescharacteristic
66C2×#66942C2211yescharacteristic
67C2×#66938C2211yescharacteristic
68C2×#66937C2211yescharacteristic
69C2×#66936C2211yescharacteristic
70C2×#66932C2211yescharacteristic
71C2×C4×D44C2211yescharacteristic
72C2×#66925C2211yescharacteristic
73C2×C42×D11C2211yescharacteristic
74C2×C4×Dic22C2211yescharacteristic
75#10622844C2211yescharacteristic
76#10622844C2211yescharacteristic
77#10622843C2211yescharacteristic
78#10622836C2211yescharacteristic
79#10622836C2211yescharacteristic
80#10622835C2211yescharacteristic
81#10622835C2211yescharacteristic
82#10622835C2211yescharacteristic
83#10622835C2211yescharacteristic
84#10622834C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic
87#10622826C2211yescharacteristic
88#10622826C2211yescharacteristic
89#10622823C2211yescharacteristic
90#10622823C2211yescharacteristic
91C4×C22⋊Dic11C2211yescharacteristic
92C4×C22⋊Dic11C2211yescharacteristic
93C4×C22⋊Dic11C2211yescharacteristic
94C4×C22⋊Dic11C2211yescharacteristic
95C4×C22⋊Dic11C2211yescharacteristic
96C4×C22⋊Dic11C2211yescharacteristic
97#10622607C2211yescharacteristic
98#10622607C2211yescharacteristic
99#10622606C2211yescharacteristic
100#10622606C2211yescharacteristic
101#10622604C2211yescharacteristic
102#10622604C2211yescharacteristic
103#10622603C2211yescharacteristic
104#10622603C2211yescharacteristic
105#10622603C2211yescharacteristic
106#10622603C2211yescharacteristic
107#10622602C2211yescharacteristic
108#10622602C2211yescharacteristic
109#10622601C2211yescharacteristic
110#10622599C2211yescharacteristic
111#10622599C2211yescharacteristic
112#10622597C2211yescharacteristic
113#10622597C2211yescharacteristic
114#10622595C2211yescharacteristic
115#10622595C2211yescharacteristic
116#10622591C2211yescharacteristic
117#10622591C2211yescharacteristic
118#10622589C2211yescharacteristic
119#10622589C2211yescharacteristic
120C4⋊C4×Dic11C2211yescharacteristic
121C4⋊C4×Dic11C2211yescharacteristic
122C4⋊C4×Dic11C2211yescharacteristic
123C4⋊C4×Dic11C2211yescharacteristic
124#10622587C2211yescharacteristic
125#10622585C2211yescharacteristic
126#10622585C2211yescharacteristic
127#10622585C2211yescharacteristic
128#10622585C2211yescharacteristic
129#10622585C2211yescharacteristic
130#10622585C2211yescharacteristic
131#10622585C2211yescharacteristic
132#10622585C2211yescharacteristic
133#10622574C2211yescharacteristic
134#10622574C2211yescharacteristic
135#10622572C2211yescharacteristic
136#10622572C2211yescharacteristic
137#10622571C2211yescharacteristic
138#10622571C2211yescharacteristic
139#10622570C2211yescharacteristic
140#10622570C2211yescharacteristic
141#10622570C2211yescharacteristic
142#10622570C2211yescharacteristic
143#10622570C2211yescharacteristic
144#10622570C2211yescharacteristic
145#10622570C2211yescharacteristic
146#10622570C2211yescharacteristic
147#10622569C2211yescharacteristic
148#10622569C2211yescharacteristic
149#10622566C2211yescharacteristic
150#10622566C2211yescharacteristic
151#10622565C2211yescharacteristic
152#10622565C2211yescharacteristic
153#10622561C2211yescharacteristic
154#10622561C2211yescharacteristic
155#10622560C2211yescharacteristic
156#10622560C2211yescharacteristic
157#10622558C2211yescharacteristic
158#10622558C2211yescharacteristic
159#10622558C2211yescharacteristic
160#10622558C2211yescharacteristic
161#10622557C2211yescharacteristic
162#10622557C2211yescharacteristic
163#10622555C2211yescharacteristic
164#10622555C2211yescharacteristic
165C22⋊C4×Dic11C2211yescharacteristic
166C22⋊C4×Dic11C2211yescharacteristic
167C22⋊C4×Dic11C2211yescharacteristic
168C22⋊C4×Dic11C2211yescharacteristic
169#10622553C2211yescharacteristic
170#10622553C2211yescharacteristic
171C4×(C2×D11)⋊C4C2211yescharacteristic
172C4×(C2×D11)⋊C4C2211yescharacteristic
173C4×(C2×D11)⋊C4C2211yescharacteristic
174C4×(C2×D11)⋊C4C2211yescharacteristic
175C4×(C2×D11)⋊C4C2211yescharacteristic
176C4×(C2×D11)⋊C4C2211yescharacteristic
177#10622546C2211yescharacteristic
178#10622546C2211yescharacteristic
179#10622545C2211yescharacteristic
180#10622545C2211yescharacteristic
181C4×Dic11⋊C4C2211yescharacteristic
182C4×Dic11⋊C4C2211yescharacteristic
183C4×Dic11⋊C4C2211yescharacteristic
184C4×Dic11⋊C4C2211yescharacteristic
185C4×Dic11⋊C4C2211yescharacteristic
186C4×Dic11⋊C4C2211yescharacteristic
187C42×Dic11C2211yescharacteristic
188C42×Dic11C2211yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C22×D44C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C11×#126—24no—
213C11×#126—24no—
214C11×#125—24no—
215C11×#124—24no—
216C11×#123—24no—
217C11×#123—24no—
218C11×C22⋊Q8—24no—
219C11×#121—24no—
220C4×Q8×C11—24no—
221C4×D4×C11—24no—
222C4×D4×C11—24no—
223C4×D4×C11—24no—
224C11×#117—24no—
225C11×#117D418yescomplemented
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C42×C11—24no—
247C2×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
251C2×C42×C11C2311yescharacteristic
252C2×C42×C11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269#66997—24no—
270#66993—24no—
271#66992—24no—
272#66992—24no—
273C4×C22⋊D11—24no—
274C4×C22⋊D11—24no—
275C4×C22⋊D11—24no—
276C4×C22⋊D11—24no—
277C4×C22⋊D11—24no—
278C4×C22⋊D11—24no—
279C4×C22⋊D11—24no—
280C4×C22⋊D11—24no—
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299#66979—24no—
300C2×C4⋊Dic11C2311yescharacteristic
301C2×C4⋊Dic11C2311yescharacteristic
302C2×C4⋊Dic11C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×C4×Dic11—24no—
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341#66951—24no—
342#66949—24no—
343#66947—24no—
344#66942—24no—
345#66938—24no—
346#66937—24no—
347#66936—24no—
348#66932—24no—
349C4×D44—24no—
350#66925—24no—
351C42×D11—24no—
352C4×Dic22—24no—
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
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#34914—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C23×D11C2411yescharacteristic
391C2×Q8×C11—22no—
392C2×Q8×C11—22no—
393C2×Q8×C11—41no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—22no—
399C2×D4×C11—22no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C2×D4×C11—41no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11C2×D414yes—
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11#4114yes—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C2×D44—22no—
469C2×D44—22no—
470C2×D44—41no—
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—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—41no—
482C2×C4×D11—41no—
483C2×Dic22—22no—
484C2×Dic22—22no—
485C2×Dic22—41no—
486C11×C4⋊C4—22no—
487C11×C4⋊C4—22no—
488C11×C4⋊C4—22no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—22no—
491C11×C4⋊C4—22no—
492C11×C4⋊C4—22no—
493C11×C4⋊C4—22no—
494C11×C4⋊C4C2×D414yes—
495C11×C4⋊C4C2×D414yes—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—22no—
498C11×C22⋊C4—22no—
499C11×C22⋊C4—22no—
500C11×C22⋊C4—22no—
501C11×C22⋊C4—22no—
502C11×C22⋊C4—22no—
503C11×C22⋊C4—22no—
504C11×C22⋊C4C2×D414yes—
505C11×C22⋊C4C2×D414yes—
506C42×C11—22no—
507C42×C11—22no—
508C42×C11—22no—
509C42×C11—22no—
510C42×C11C2×D414yes—
511C42×C11C2×D414yes—
512C22⋊Dic11—22no—
513C22⋊Dic11—22no—
514C22⋊Dic11—22no—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
518C22⋊Dic11—22no—
519C22⋊Dic11—22no—
520C22⋊Dic11—22no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—41no—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546C4⋊Dic11—22no—
547C4⋊Dic11—22no—
548C4⋊Dic11—22no—
549C4⋊Dic11—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—22no—
553Dic11⋊C4—22no—
554Dic11⋊C4—22no—
555Dic11⋊C4—22no—
556Dic11⋊C4—22no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4#4114yes—
568C4×Dic11—22no—
569C4×Dic11—22no—
570C4×Dic11—22no—
571C4×Dic11—22no—
572C4×Dic11—22no—
573C4×Dic11—22no—
574C4×Dic11—22no—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—22no—
578C4×Dic11—22no—
579C4×Dic11—22no—
580C4×Dic11—41no—
581C4×Dic11—41no—
582C4×Dic11—41no—
583C4×Dic11—41no—
584C4×Dic11#4114yes—
585C4×Dic11#4114yes—
586C2×#529—111no—
587C2×#529D1111yescharacteristic, complemented
588#2560—111no—
589#2560—111no—
590#2559—111no—
591#2559—111no—
592#2558—111no—
593#2558—111no—
594#2557—111no—
595#2557—111no—
596#2512—111no—
597#2506—111no—
598#2496—111no—
599#2491—111no—
600#2452—111no—
601#2445—111no—
602#2428—111no—
603#2422—111no—
604#2398—111no—
605#2398—111no—
606#2392—111no—
607#2392—111no—
608C4×C4⋊Q8—111no—
609C4×#127—111no—
610C4×#121—111no—
611C4×#121—111no—
612#2293—111no—
613#2290—111no—
614#2290—111no—
615C42×D4—111no—
616C4×#117—111no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11C22×D412yes—
637C23×C11C2×#4112yes—
638C23×C11C2511yescharacteristic
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11C2×#4112yes—
653Q8×C11—44no—
654D4×C11—44no—
655D4×C11—44no—
656D4×C11—44no—
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—28no—
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×C11—44no—
687C2×C4×C11—44no—
688C2×C4×C11—44no—
689C2×C4×C11C22×D412yes—
690C2×C4×C11C22×D412yes—
691C2×C4×C11C22×D412yes—
692C2×C4×C11C22×D412yes—
693C2×C4×C11C22×D412yes—
694C2×C4×C11C22×D412yes—
695C2×C4×C11C2×#4112yes—
696C2×C4×C11C2×#4112yes—
697C2×C4×C11C2×#4112yes—
698C22⋊D11—28no—
699C22⋊D11—44no—
700C22⋊D11—44no—
701C22⋊D11—44no—
702C22⋊D11—44no—
703C22⋊D11—44no—
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—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—44no—
740C2×Dic11—44no—
741C2×Dic11C2×#4112yes—
742C2×Dic11C2×#4112yes—
743C2×Dic11C2×#4112yes—
744C2×Dic11C2×#4112yes—
745C2×Dic11C2×#4112yes—
746C2×Dic11C2×#4112yes—
747C2×Dic11C2×#4112yes—
748D44—44no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—44no—
753Dic22—44no—
754C2×C4⋊Q8—111no—
755C2×#127—111no—
756#529—28no—
757#529—228no—
758C2×#126—111no—
759C2×#126—111no—
760C2×#126C2×D1111yescharacteristic
761C2×#126C2×D1111yescharacteristic
762C2×#125—111no—
763C2×#125C2×D1111yescharacteristic
764C2×#124—111no—
765C2×#124C2×D1111yescharacteristic
766C2×#123—111no—
767C2×#123—111no—
768C2×#123C2×D1111yescharacteristic
769C2×#123C2×D1111yescharacteristic
770C2×C22⋊Q8—111no—
771C2×C22⋊Q8C2×D1111yescharacteristic
772C2×#121—111no—
773C2×#121—111no—
774C2×#121—111no—
775C2×#121C2×D1111yescharacteristic
776C2×C4×Q8—111no—
777C2×C4×Q8C2×D1111yescharacteristic
778C2×C4×D4—111no—
779C2×C4×D4—111no—
780C2×C4×D4—111no—
781C2×C4×D4—111no—
782C2×C4×D4—111no—
783C2×C4×D4—111no—
784C2×C4×D4—111no—
785C2×C4×D4—111no—
786C2×C4×D4—111no—
787C2×C4×D4C2×D1111yescharacteristic
788C2×C4×D4C2×D1111yescharacteristic
789C2×C4×D4C2×D1111yescharacteristic
790C2×#117—111no—
791C2×#117—111no—
792C2×#117C2×D1111yescharacteristic
793C2×#117C2×D1111yescharacteristic
794C22×C42—111no—
795C22×C42—111no—
796C22×C42C2×D1111yescharacteristic
797#400—111no—
798#400—111no—
799#400—111no—
800#400—111no—
801#398—111no—
802#398—111no—
803#397—111no—
804#397—111no—
805#397—111no—
806#397—111no—
807#397—111no—
808#397—111no—
809#396—111no—
810#396—111no—
811#396—111no—
812#396—111no—
813#394—111no—
814#394—111no—
815#394—111no—
816#394—111no—
817#394—111no—
818#394—111no—
819#394—111no—
820#394—111no—
821#394—111no—
822#394—111no—
823#393—111no—
824#393—111no—
825#393—111no—
826#393—111no—
827#392—111no—
828#392—111no—
829#391—111no—
830#391—111no—
831#390—111no—
832#390—111no—
833#390—111no—
834#390—111no—
835#390—111no—
836#390—111no—
837#390—111no—
838#390—111no—
839#390—111no—
840#390—111no—
841#389—111no—
842#389—111no—
843#389—111no—
844#389—111no—
845#389—111no—
846#389—111no—
847#389—111no—
848#389—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#387—111no—
862#387—111no—
863#387—111no—
864#387—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#385—111no—
874#385—111no—
875#385—111no—
876#385—111no—
877#384—111no—
878#384—111no—
879#380—111no—
880#380—111no—
881C4×C4⋊C4—111no—
882C4×C4⋊C4—111no—
883C4×C4⋊C4—111no—
884C4×C4⋊C4—111no—
885C4×C4⋊C4—111no—
886C4×C4⋊C4—111no—
887C4×C4⋊C4—111no—
888C4×C4⋊C4—111no—
889C4×C4⋊C4—111no—
890C4×C4⋊C4—111no—
891C4×C22⋊C4—111no—
892C4×C22⋊C4—111no—
893C4×C22⋊C4—111no—
894C4×C22⋊C4—111no—
895C4×C22⋊C4—111no—
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4—111no—
903C4×C22⋊C4—111no—
904C4×C22⋊C4—111no—
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907#376—111no—
908#376—111no—
909C43—111no—
910C43—111no—
911C22×C11—22no—
912C22×C11—22no—
913C22×C11—22no—
914C22×C11—22no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11C23×D411yescharacteristic
933C22×C11C22×#4111yescharacteristic
934C22×C11C22×#4111yescharacteristic
935C22×C11C22×#4111yescharacteristic
936C22×C11C22×#4111yescharacteristic
937C22×C11#58511yescharacteristic
938C22×C11#58511yescharacteristic
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C4×C11—22no—
954C4×C11—22no—
955C4×C11—22no—
956C4×C11—22no—
957C4×C11—22no—
958C4×C11—22no—
959C4×C11—41no—
960C4×C11—41no—
961C4×C11—41no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11#53214yes—
965Dic11—22no—
966Dic11—22no—
967Dic11—22no—
968Dic11—22no—
969Dic11—41no—
970Dic11—41no—
971Dic11—41no—
972Dic11—41no—
973Dic11—41no—
974Dic11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11#52914yescomplemented
979C22×Q8—111no—
980C22×Q8C22×D1111yescharacteristic
981C22×D4—111no—
982C22×D4—111no—
983C22×D4—111no—
984C22×D4—111no—
985C22×D4—111no—
986C22×D4—111no—
987C22×D4—111no—
988C22×D4C22×D1111yescharacteristic
989C22×D4C22×D1111yescharacteristic
990C22×D4C22×D1111yescharacteristic
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4C22×D1111yescharacteristic
998C23×C4C22×D1111yescharacteristic
999C23×C4C22×D1111yescharacteristic
1000C23×C4C22×D1111yescharacteristic
1001C23×C4C22×D1111yescharacteristic
1002C4⋊Q8—224no—
1003#127—224no—
1004#126—24no—
1005#126—24no—
1006#126—224no—
1007#126—224no—
1008#125—24no—
1009#125—224no—
1010#124—24no—
1011#124—224no—
1012#123—24no—
1013#123—24no—
1014#123—224no—
1015#123—224no—
1016C22⋊Q8—24no—
1017C22⋊Q8—224no—
1018#121—24no—
1019#121—224no—
1020#121—224no—
1021#121—224no—
1022C4×Q8—24no—
1023C4×Q8—224no—
1024C4×D4—24no—
1025C4×D4—24no—
1026C4×D4—24no—
1027C4×D4—224no—
1028C4×D4—224no—
1029C4×D4—224no—
1030C4×D4—224no—
1031C4×D4—224no—
1032C4×D4—224no—
1033C4×D4—224no—
1034C4×D4—224no—
1035C4×D4—224no—
1036#117—24no—
1037#117—224no—
1038#117—224no—
1039#117C22⋊D1118yescomplemented
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4C22×D1111yescharacteristic
1063C2×C4⋊C4C22×D1111yescharacteristic
1064C2×C4⋊C4C22×D1111yescharacteristic
1065C2×C4⋊C4C22×D1111yescharacteristic
1066C2×C4⋊C4C22×D1111yescharacteristic
1067C2×C4⋊C4C22×D1111yescharacteristic
1068C2×C4⋊C4C22×D1111yescharacteristic
1069C2×C4⋊C4C22×D1111yescharacteristic
1070C2×C4⋊C4C22×D1111yescharacteristic
1071C2×C4⋊C4C22×D1111yescharacteristic
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C42—24no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—111no—
1127C2×C42—111no—
1128C2×C42—111no—
1129C2×C42—111no—
1130C2×C42—111no—
1131C2×C42—111no—
1132C2×C42—111no—
1133C2×C42—111no—
1134C2×C42—111no—
1135C2×C42—224no—
1136C2×C42—224no—
1137C2×C42C22×D1111yescharacteristic
1138C2×C42C22×D1111yescharacteristic
1139C2×C42C22×D1111yescharacteristic
1140C2×C42C22×D1111yescharacteristic
1141C2×C42C22×D1111yescharacteristic
1142C2×C42C22×D1111yescharacteristic
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175C2×C11—42no—
1176C2×C11—42no—
1177C2×C11—81no—
1178C2×C11C2×#52911yescharacteristic
1179C2×C11C2×#53211yescharacteristic
1180C2×C11#345511yescharacteristic
1181C2×C11D4×#4111yescharacteristic
1182C2×C11D4×#4111yescharacteristic
1183C2×C11#347511yescharacteristic
1184C2×C11#348011yescharacteristic
1185D11—42no—
1186D11—81no—
1187C24—111no—
1188C24—111no—
1189C24C23×D1111yescharacteristic
1190C24C23×D1111yescharacteristic
1191C24C23×D1111yescharacteristic
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—41no—
1195C2×Q8—222no—
1196C2×Q8—222no—
1197C2×Q8—441no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—114no—
1208C2×D4—222no—
1209C2×D4—222no—
1210C2×D4—222no—
1211C2×D4—222no—
1212C2×D4—222no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—441no—
1224C2×D4—441no—
1225C2×D4—441no—
1226C2×D4—441no—
1227C2×D4—441no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—111no—
1243C22×C4—111no—
1244C22×C4—111no—
1245C22×C4—111no—
1246C22×C4—111no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—111no—
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—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4C2×C22⋊D1114yes—
1275C22×C4C23×D1111yescharacteristic
1276C22×C4C23×D1111yescharacteristic
1277C22×C4C23×D1111yescharacteristic
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
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—114no—
1296C4⋊C4—222no—
1297C4⋊C4—222no—
1298C4⋊C4—222no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—222no—
1303C4⋊C4—222no—
1304C4⋊C4—222no—
1305C4⋊C4—222no—
1306C4⋊C4—222no—
1307C4⋊C4—222no—
1308C4⋊C4—222no—
1309C4⋊C4—222no—
1310C4⋊C4—222no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—441no—
1316C4⋊C4—441no—
1317C4⋊C4C2×C22⋊D1114yes—
1318C4⋊C4C2×C22⋊D1114yes—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
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—222no—
1338C22⋊C4—222no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4C2×C22⋊D1114yes—
1362C22⋊C4C2×C22⋊D1114yes—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—114no—
1368C42—114no—
1369C42—222no—
1370C42—222no—
1371C42—222no—
1372C42—222no—
1373C42—222no—
1374C42—222no—
1375C42—222no—
1376C42—222no—
1377C42—222no—
1378C42—222no—
1379C42—222no—
1380C42—222no—
1381C42—441no—
1382C42—441no—
1383C42—441no—
1384C42—441no—
1385C42C2×C22⋊D1114yes—
1386C42C2×C22⋊D1114yes—
1387C11#3491411yescharacteristic, complemented, Sylow
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—112no—
1408C23—221no—
1409C23—221no—
1410C23—221no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23#41×D1112yes—
1422C23C22×C22⋊D1112yes—
1423C23C24×D1111yescharacteristic
1424Q8—44no—
1425Q8—444no—
1426D4—44no—
1427D4—44no—
1428D4—44no—
1429D4—228no—
1430D4—444no—
1431D4—444no—
1432D4—444no—
1433D4—444no—
1434D4—444no—
1435D4—444no—
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—28no—
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—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—112no—
1469C2×C4—112no—
1470C2×C4—112no—
1471C2×C4—112no—
1472C2×C4—112no—
1473C2×C4—112no—
1474C2×C4—112no—
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—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—444no—
1511C2×C4—444no—
1512C2×C4—444no—
1513C2×C4—444no—
1514C2×C4—444no—
1515C2×C4—444no—
1516C2×C4#41×D1112yes—
1517C2×C4#41×D1112yes—
1518C2×C4#41×D1112yes—
1519C2×C4C22×C22⋊D1112yes—
1520C2×C4C22×C22⋊D1112yes—
1521C2×C4C22×C22⋊D1112yes—
1522C2×C4C22×C22⋊D1112yes—
1523C2×C4C22×C22⋊D1112yes—
1524C2×C4C22×C22⋊D1112yes—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—222no—
1547C22—222no—
1548C22—222no—
1549C22—441no—
1550C22—441no—
1551C22—441no—
1552C22—441no—
1553C22—441no—
1554C22—441no—
1555C22—441no—
1556C22—441no—
1557C22—441no—
1558C22—441no—
1559C22—441no—
1560C22C2×#41×D1111yescharacteristic
1561C22C2×#41×D1111yescharacteristic
1562C22C2×#41×D1111yescharacteristic
1563C22C2×#41×D1111yescharacteristic
1564C22#1062345311yescharacteristic
1565C22#1062345311yescharacteristic
1566C22C23×C22⋊D1111yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—114no—
1579C4—222no—
1580C4—222no—
1581C4—222no—
1582C4—222no—
1583C4—441no—
1584C4—441no—
1585C4—441no—
1586C4—441no—
1587C4—441no—
1588C4—441no—
1589C4—441no—
1590C4—441no—
1591C4—441no—
1592C4#1062336314yes—
1593C2—42no—
1594C2—42no—
1595C2—81no—
1596C2—442no—
1597C2—881no—
1598C2D11×#52911yescharacteristic
1599C2C2×#1062336311yescharacteristic
1600C2#1308199911yescharacteristic
1601C2#41×C22⋊D1111yescharacteristic
1602C2#41×C22⋊D1111yescharacteristic
1603C2#1308216811yescharacteristic
1604C2#1308220711yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#529C2
prime radical#13072201C2
hypercenterC2×#529D11
hypocenterC11#34914
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×#529

Complements

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

NH ≅ G/Ntype
1. C2×#10623059C2semidirect
2. #13073758C2semidirect
3. #13073756C2semidirect
4. #13073743C2semidirect
5. #13073741C2semidirect
6. #13073728C2semidirect
7. #13073726C2semidirect
8. #13073713C2semidirect
9. #13073711C2semidirect
10. #13073201C2semidirect
11. #13073131C2semidirect
12. #13073035C2semidirect
13. #13072976C2semidirect
14. #13072465C2semidirect
15. #13072380C2semidirect
17. #13072127C2semidirect
18. #13071900C2semidirect
19. #13071899C2semidirect
20. #13071858C2semidirect
21. #13071858C2semidirect
22. C4×#66997C2semidirect
23. C4×#66993C2semidirect
24. C4×#66992C2semidirect
25. C4×#66992C2semidirect
26. #13071075C2semidirect
27. #13071059C2semidirect
28. #13071053C2semidirect
29. C42×C22⋊D11C2semidirect
30. #117×Dic11C2semidirect
31. C2×C11×#529C2semidirect
225. C11×#117D4semidirect
587. C2×#529D11semidirect
978. Dic11#529semidirect
1039. #117C22⋊D11semidirect
1387. C11#34914semidirect

Maximal subgroups

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

subgroupindex
C2×#106230592
#130737582
#130737562
#130737432
#130737412
#130737282
#130737262
#130737132
#130737112
#130732012
#130731312
#130730352
#130729762
#130724652
#130723802
#130722012
#130721272
#130719002
#130718992
#130718582
C4×#669972
C4×#669932
C4×#669922
#130710752
#130710592
#130710532
C42×C22⋊D112
#117×Dic112
C2×C11×#5292
#3491411