Finite Group Databasebeta

← #14962642

Subgroups — #14962642

Order 2816.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076911C211yesmaximal, characteristic, complemented
2#13076904C211yesmaximal, characteristic, complemented
3#13076460C211yesmaximal, characteristic, complemented
4#13076010C211yesmaximal, characteristic, complemented
5#13075946C211yesmaximal, characteristic, complemented
6#13075872C211yesmaximal, characteristic, complemented
7#13075674C211yesmaximal, characteristic, complemented
8#13075614C211yesmaximal, characteristic, complemented
9#13075536C211yesmaximal, characteristic, complemented
10#13075382C211yesmaximal, characteristic, complemented
11#13075353C211yesmaximal, characteristic, complemented
12#13075287C211yesmaximal, characteristic, complemented
13#13075222C211yesmaximal, characteristic, complemented
14#13075213C211yesmaximal, characteristic, complemented
15#13075091C211yesmaximal, characteristic, complemented
16#13075019C211yesmaximal, characteristic, complemented
17#13074874C211yesmaximal, characteristic, complemented
18#13074426C211yesmaximal, characteristic, complemented
19#13074390C211yesmaximal, characteristic, complemented
20#13073797C211yesmaximal, characteristic, complemented
21#13073626C211yesmaximal, characteristic, complemented
22#13072865C211yesmaximal, characteristic, complemented
23#13072858C211yesmaximal, characteristic, complemented
24#13072740C211yesmaximal, characteristic, complemented
25#13072735C211yesmaximal, characteristic, complemented
26#13072264C211yesmaximal, characteristic, complemented
27#13071967C211yesmaximal, characteristic
28#13071348C211yesmaximal, characteristic, complemented
29#13071248C211yesmaximal, characteristic, complemented
30D11×#386C211yesmaximal, characteristic, complemented
31C11×#2715C211yesmaximal, characteristic, complemented
32C22×D4×D11C2211yescharacteristic
33C23×C4×D11C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic, complemented
35C2×C11×#124C2211yescharacteristic
36C2×#67000C2211yescharacteristic
37C2×#66999C2211yescharacteristic
38C2×#66977C2211yescharacteristic, complemented
39C2×#66951C2211yescharacteristic, complemented
40C2×#66950C2211yescharacteristic
41C2×#66950C2211yescharacteristic, complemented
42C2×#66949C2211yescharacteristic
43C2×#66947C2211yescharacteristic, complemented
44C2×#66947C2211yescharacteristic, complemented
45C2×#66946C2211yescharacteristic
46C2×#66938C2211yescharacteristic, complemented
47C2×#66938C2211yescharacteristic, complemented
48C2×#66937C2211yescharacteristic
49C2×#66937C2211yescharacteristic
50C2×#66935C2211yescharacteristic
51C2×#66935C2211yescharacteristic
52C2×C22⋊C4×D11C2211yescharacteristic
53C2×C22⋊C4×D11C2211yescharacteristic
54C2×C22⋊C4×D11C2211yescharacteristic
55C11×#397C2211yescharacteristic, complemented
56C11×#397C2211yescharacteristic, complemented
57C11×#396C2211yescharacteristic, complemented
58C11×#396C2211yescharacteristic, complemented
59C11×#395C2211yescharacteristic, complemented
60C11×#394C2211yescharacteristic
61C11×#391C2211yescharacteristic, complemented
62C11×#389C2211yescharacteristic, complemented
63C11×#388C2211yescharacteristic, complemented
64C11×#387C2211yescharacteristic, complemented
65C11×#386C2211yescharacteristic
66C11×#385C2211yescharacteristic, complemented
67C11×#380C2211yescharacteristic, complemented
68#10622844C2211yescharacteristic, complemented
69#10622843C2211yescharacteristic, complemented
70#10622836C2211yescharacteristic
71#10622834C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622826C2211yescharacteristic
74#10622826C2211yescharacteristic, complemented
75#10622607C2211yescharacteristic, complemented
76#10622607C2211yescharacteristic, complemented
77#10622607C2211yescharacteristic, complemented
78#10622606C2211yescharacteristic, complemented
79#10622606C2211yescharacteristic, complemented
80#10622605C2211yescharacteristic, complemented
81#10622604C2211yescharacteristic
82#10622604C2211yescharacteristic, complemented
83#10622604C2211yescharacteristic, complemented
84#10622603C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic, complemented
86#10622602C2211yescharacteristic
87#10622602C2211yescharacteristic
88#10622602C2211yescharacteristic
89#10622602C2211yescharacteristic
90#10622602C2211yescharacteristic, complemented
91#10622602C2211yescharacteristic, complemented
92#10622601C2211yescharacteristic, complemented
93#10622600C2211yescharacteristic
94#10622600C2211yescharacteristic
95#10622600C2211yescharacteristic, complemented
96#10622600C2211yescharacteristic, complemented
97#10622599C2211yescharacteristic, complemented
98#10622597C2211yescharacteristic, complemented
99#10622596C2211yescharacteristic, complemented
100#10622594C2211yescharacteristic, complemented
101#10622592C2211yescharacteristic, complemented
102#10622592C2211yescharacteristic, complemented
103#10622585C2211yescharacteristic, complemented
104#10622574C2211yescharacteristic, complemented
105#10622574C2211yescharacteristic, complemented
106#10622572C2211yescharacteristic
107#10622572C2211yescharacteristic
108#10622572C2211yescharacteristic
109#10622572C2211yescharacteristic
110#10622572C2211yescharacteristic, complemented
111#10622572C2211yescharacteristic, complemented
112#10622571C2211yescharacteristic
113#10622571C2211yescharacteristic, complemented
114#10622570C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622569C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622568C2211yescharacteristic
119#10622568C2211yescharacteristic
120#10622568C2211yescharacteristic
121#10622568C2211yescharacteristic
122#10622568C2211yescharacteristic
123#10622568C2211yescharacteristic
124#10622566C2211yescharacteristic, complemented
125#10622566C2211yescharacteristic, complemented
126#10622565C2211yescharacteristic, complemented
127#10622565C2211yescharacteristic, complemented
128#10622565C2211yescharacteristic, complemented
129#10622564C2211yescharacteristic, complemented
130#10622563C2211yescharacteristic, complemented
131#10622563C2211yescharacteristic, complemented
132#10622562C2211yescharacteristic, complemented
133#10622561C2211yescharacteristic, complemented
134#10622560C2211yescharacteristic, complemented
135#10622559C2211yescharacteristic, complemented
136#10622558C2211yescharacteristic, complemented
137#10622558C2211yescharacteristic, complemented
138#10622557C2211yescharacteristic, complemented
139#10622553C2211yescharacteristic, complemented
140#10622553C2211yescharacteristic, complemented
141#10622552C2211yescharacteristic
142#10622552C2211yescharacteristic, complemented
143C4×(C2×D11)⋊C4C2211yescharacteristic
144C4×(C2×D11)⋊C4C2211yescharacteristic
145#10622546C2211yescharacteristic, complemented
146#10622542C2211yescharacteristic, complemented
147#10622290C2211yescharacteristic, complemented
148#10622288C2211yescharacteristic, complemented
149#10622288C2211yescharacteristic, complemented
150#10622287C2211yescharacteristic, complemented
151#10622286C2211yescharacteristic, complemented
152#10622286C2211yescharacteristic, complemented
153#10622286C2211yescharacteristic, complemented
154#10622285C2211yescharacteristic, complemented
155#10622285C2211yescharacteristic, complemented
156#10622284C2211yescharacteristic
157#10622283C2211yescharacteristic, complemented
158#10622282C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic, complemented
163#10622281C2211yescharacteristic, complemented
164#10622280C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622278C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622277C2211yescharacteristic, complemented
173#10622277C2211yescharacteristic, complemented
174#10622277C2211yescharacteristic, complemented
175D11×#95C2211yescharacteristic
176D11×#95C2211yescharacteristic
177#10622267C2211yescharacteristic, complemented
178#10622267C2211yescharacteristic, complemented
179#10622267C2211yescharacteristic, complemented
180#10622266C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C2×D4×D11—24no—
198C2×D4×D11—42no—
199C2×D4×D11—42no—
200C22×D44C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×C4×D11—42no—
205C22×C4×D11—42no—
206C22×C4×D11—42no—
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×Dic22C2311yescharacteristic
216C22×Dic22C2311yescharacteristic
217C11×#126—42no—
218C11×#124—42no—
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
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
250#67000—42no—
251#66999—24no—
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295#66977—42no—
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313#66951—42no—
314#66950—42no—
315#66950—42no—
316#66949—42no—
317#66947—42no—
318#66947—42no—
319#66946—24no—
320#66938—42no—
321#66938—42no—
322#66937—42no—
323#66937—42no—
324#66935—42no—
325#66935—42no—
326C22⋊C4×D11—42no—
327C22⋊C4×D11—42no—
328C22⋊C4×D11—42no—
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11×#95C2311yescharacteristic
338C11×#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#36793—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—41no—
381C23×D11—41no—
382C23×D11—41no—
383C23×D11—41no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11C2411yescharacteristic
387C23×D11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×Q8×C11—22no—
391C2×Q8×C11—41no—
392C2×Q8×C11—41no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—41no—
396C22×C4×C11—22no—
397C22×C4×C11—41no—
398C22×C4×C11—41no—
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
411C22×C4×C11C2411yescharacteristic
412C2×C22⋊D11—22no—
413C2×C22⋊D11—22no—
414C2×C22⋊D11—22no—
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C22×Dic11—41no—
425C22×Dic11—41no—
426C22×Dic11—41no—
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439D4×D11—416no—
440C2×D44—22no—
441C2×D44—22no—
442C2×D44—22no—
443C2×D44—22no—
444C2×D44—22no—
445C2×D44—22no—
446C2×D44—41no—
447C2×D44—41no—
448C2×D44—41no—
449C2×D44—41no—
450C2×D44—41no—
451C2×D44—41no—
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—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11—41no—
468C2×C4×D11—41no—
469C2×C4×D11—41no—
470C2×C4×D11—41no—
471C2×C4×D11—41no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
474C2×C4×D11—41no—
475C2×C4×D11—416no—
476C2×C4×D11#4114yes—
477C2×Dic22—22no—
478C2×Dic22—41no—
479C2×Dic22—41no—
480C2×Dic22—41no—
481C2×Dic22—41no—
482C2×Dic22—41no—
483C11×C4⋊C4—22no—
484C11×C4⋊C4—22no—
485C11×C4⋊C4—41no—
486C11×C4⋊C4—41no—
487C11×C4⋊C4—41no—
488C11×C4⋊C4—41no—
489C11×C4⋊C4—41no—
490C11×C4⋊C4—41no—
491C11×C4⋊C4—41no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—22no—
494C11×C22⋊C4—22no—
495C11×C22⋊C4—22no—
496C11×C22⋊C4—22no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C11×C22⋊C4—41no—
501C11×C22⋊C4—41no—
502C11×C22⋊C4—41no—
503C42×C11—41no—
504C42×C11—41no—
505C22⋊Dic11—22no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
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—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
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—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550C4⋊Dic11—22no—
551C4⋊Dic11—22no—
552C4⋊Dic11—41no—
553C4⋊Dic11—41no—
554C4⋊Dic11—41no—
555C4⋊Dic11—41no—
556C4⋊Dic11—41no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569C4×Dic11—22no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574#2849—111no—
575#2848—111no—
576#2796—111no—
577#2761—111no—
578#2757—111no—
579#2751—111no—
580#2737—111no—
581#2730—111no—
582#2723—111no—
583#2715D1111yescharacteristic, complemented
584#2712—111no—
585#2710—111no—
586#2705—111no—
587#2701—111no—
588#2700—111no—
589#2691—111no—
590#2686—111no—
591#2672—111no—
592#2626—111no—
593#2622—111no—
594#2564—111no—
595#2549—111no—
596#2480—111no—
597#2480—111no—
598#2472—111no—
599#2472—111no—
600#2435—111no—
601#2408—111no—
602#2329—111no—
603#2318—111no—
604C2×#386—111no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11H(5,𝔽2)12yes—
619C23×C11C2511yescharacteristic
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—28no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—44no—
646C22×D11—44no—
647C22×D11—44no—
648C22×D11—44no—
649C22×D11—44no—
650C22×D11—44no—
651C22×D11—44no—
652C22×D11—44no—
653C22×D11—44no—
654C22×D11—82no—
655C22×D11—82no—
656C22×D11—82no—
657C22×D11—82no—
658C22×D11C2×#4112yes—
659C22×D11H(5,𝔽2)12yes—
660C22×D11H(5,𝔽2)12yes—
661C22×D112−1+412yes—
662Q8×C11—82no—
663D4×C11—44no—
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—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—44no—
702C2×C4×C11C2×#4112yes—
703C2×C4×C11H(5,𝔽2)12yes—
704C22⋊D11—44no—
705C22⋊D11—44no—
706C22⋊D11—82no—
707C22⋊D11—82no—
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—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—44no—
744C2×Dic11C2×#4112yes—
745D44—44no—
746D44—44no—
747D44—82no—
748D44—82no—
749C4×D11—44no—
750C4×D11—44no—
751C4×D11—44no—
752C4×D11—44no—
753C4×D11—44no—
754C4×D11—82no—
755C4×D11—82no—
756C4×D11—82no—
757Dic22—82no—
758Dic22—82no—
759C23×D4—111no—
760C24×C4—111no—
761C2×#126—111no—
762C2×#126C2×D1111yescharacteristic, complemented
763C2×#124—111no—
764C2×#124—111no—
765C2×#124—111no—
766C2×#124C2×D1111yescharacteristic
767C2×#123—111no—
768C2×#123—111no—
769C2×C22⋊Q8—111no—
770C2×C22⋊Q8—111no—
771C2×C22⋊Q8—111no—
772C2×C22⋊Q8—111no—
773C2×C22⋊Q8—111no—
774C2×#121—111no—
775C2×#121—111no—
776C2×#120—111no—
777C2×#120—111no—
778C2×C4×D4—111no—
779C22×C22⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4—111no—
782#400—111no—
783#399—111no—
784#399—111no—
785#399—111no—
786#398—111no—
787#398—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#397C2×D1111yescharacteristic, complemented
799#397C2×D1111yescharacteristic, complemented
800#396—111no—
801#396—111no—
802#396—111no—
803#396—111no—
804#396C2×D1111yescharacteristic, complemented
805#396C2×D1111yescharacteristic, complemented
806#395—111no—
807#395—111no—
808#395C2×D1111yescharacteristic, complemented
809#394—111no—
810#394—111no—
811#394—111no—
812#394—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#394C2×D1111yescharacteristic
823#393—111no—
824#393—111no—
825#393—111no—
826#393—111no—
827#393—111no—
828#392—111no—
829#392—111no—
830#391—111no—
831#391—111no—
832#391—111no—
833#391C2×D1111yescharacteristic, complemented
834#390—111no—
835#390—111no—
836#390—111no—
837#390—111no—
838#390—111no—
839#390—111no—
840#389—111no—
841#389—111no—
842#389—111no—
843#389C2×D1111yescharacteristic, complemented
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#388C2×D1111yescharacteristic, complemented
856#387—111no—
857#387—111no—
858#387—111no—
859#387—111no—
860#387—111no—
861#387—111no—
862#387—111no—
863#387C2×D1111yescharacteristic, complemented
864#386—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#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386C2×D1111yescharacteristic
878#385—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#385—111no—
887#385—111no—
888#385—111no—
889#385—111no—
890#385—111no—
891#385C2×D1111yescharacteristic, complemented
892#383—111no—
893#382—111no—
894#381—111no—
895#381—111no—
896#381—111no—
897#380—111no—
898#380—111no—
899#380—111no—
900#380—111no—
901#380—111no—
902#380C2×D1111yescharacteristic, complemented
903#379—111no—
904#379—111no—
905#379—111no—
906#379—111no—
907#379—111no—
908#379—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4—111no—
911C4×C22⋊C4—111no—
912C2×#95—111no—
913C2×#95—111no—
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×C11C22×#4111yescharacteristic
929C22×C11C2×H(5,𝔽2)11yescharacteristic
930C22×C11C2×H(5,𝔽2)11yescharacteristic
931C22×C11C2×H(5,𝔽2)11yescharacteristic
932C22×C11C2×H(5,𝔽2)11yescharacteristic
933C22×C11C2×2−1+411yescharacteristic
934C22×C11#58511yescharacteristic
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—416no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—88no—
964C2×D11#54214yes—
965C4×C11—22no—
966C4×C11—22no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976C4×C11—41no—
977C4×C11—41no—
978Dic11—22no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990C25—111no—
991C25—111no—
992C22×Q8—111no—
993C22×Q8—111no—
994C22×Q8C22×D1111yescharacteristic
995C22×D4—111no—
996C22×D4—111no—
997C22×D4—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4—224no—
1004C22×D4—442no—
1005C22×D4—442no—
1006C22×D4C22×D1111yescharacteristic
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—442no—
1017C23×C4—442no—
1018C23×C4—442no—
1019C23×C4C22×D1111yescharacteristic
1020#126—42no—
1021#126—442no—
1022#124—42no—
1023#124—442no—
1024#124—442no—
1025#124—442no—
1026#123—442no—
1027#123—442no—
1028C22⋊Q8—224no—
1029C22⋊Q8—442no—
1030C22⋊Q8—442no—
1031C22⋊Q8—442no—
1032C22⋊Q8—442no—
1033#121—442no—
1034#121—442no—
1035#120—442no—
1036#120—442no—
1037C4×D4—224no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1058C2×C4⋊C4C22×D1111yescharacteristic
1059C2×C4⋊C4C22×D1111yescharacteristic
1060C2×C4⋊C4C22×D1111yescharacteristic
1061C2×C4⋊C4C22×D1111yescharacteristic
1062C2×C4⋊C4C22×D1111yescharacteristic
1063C2×C4⋊C4C22×D1111yescharacteristic
1064C2×C4⋊C4C22×D1111yescharacteristic
1065C2×C4⋊C4C22×D1111yescharacteristic
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
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⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—442no—
1112C2×C22⋊C4—442no—
1113C2×C22⋊C4—442no—
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4C22×D1111yescharacteristic
1118C2×C22⋊C4C22×D1111yescharacteristic
1119C2×C22⋊C4C22×D1111yescharacteristic
1120C2×C22⋊C4C22×D1111yescharacteristic
1121C2×C22⋊C4C22×D1111yescharacteristic
1122C2×C22⋊C4C22×D1111yescharacteristic
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C42—111no—
1126C2×C42—111no—
1127C2×C42—111no—
1128C2×C42—111no—
1129C2×C42—111no—
1130C2×C42C22×D1111yescharacteristic
1131C2×C42C22×D1111yescharacteristic
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#95—111no—
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#95C22×D1111yescharacteristic
1163#95C22×D1111yescharacteristic
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172C2×C11—42no—
1173C2×C11—81no—
1174C2×C11C2×#54211yescharacteristic
1175C2×C11#349011yescharacteristic
1176C2×C11#350611yescharacteristic
1177C2×C11#353211yescharacteristic
1178C2×C11#353411yescharacteristic
1179C2×C11#353511yescharacteristic
1180C2×C11#353611yescharacteristic
1181D11—24no—
1182D11—42no—
1183D11—81no—
1184D11—81no—
1185C24—111no—
1186C24—111no—
1187C24—111no—
1188C24—111no—
1189C24—222no—
1190C24—222no—
1191C24—222no—
1192C24—222no—
1193C24—222no—
1194C24—222no—
1195C24—222no—
1196C24—222no—
1197C24—441no—
1198C24—441no—
1199C24—441no—
1200C24—441no—
1201C24—441no—
1202C24—441no—
1203C24C23×D1111yescharacteristic
1204C24C23×D1111yescharacteristic
1205C2×Q8—22no—
1206C2×Q8—41no—
1207C2×Q8—41no—
1208C2×Q8—222no—
1209C2×Q8—441no—
1210C2×Q8—441no—
1211C2×Q8—441no—
1212C2×Q8—441no—
1213C2×Q8—441no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—41no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—222no—
1225C2×D4—222no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—441no—
1229C2×D4—441no—
1230C2×D4—441no—
1231C2×D4—441no—
1232C2×D4—441no—
1233C2×D4—441no—
1234C2×D4—441no—
1235C2×D4—441no—
1236C2×D4—441no—
1237C2×D4—441no—
1238C2×D4—441no—
1239C2×D4—441no—
1240C2×D4—441no—
1241C2×D4—4416no—
1242C22×C4—22no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—111no—
1246C22×C4—114no—
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—111no—
1257C22×C4—111no—
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—441no—
1268C22×C4—441no—
1269C22×C4—441no—
1270C22×C4—441no—
1271C22×C4—441no—
1272C22×C4—441no—
1273C22×C4—441no—
1274C22×C4—441no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—4416no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4C23×D1111yescharacteristic
1286C22×C4C23×D1111yescharacteristic
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—222no—
1308C4⋊C4—222no—
1309C4⋊C4—222no—
1310C4⋊C4—222no—
1311C4⋊C4—441no—
1312C4⋊C4—441no—
1313C4⋊C4—441no—
1314C4⋊C4—441no—
1315C4⋊C4—441no—
1316C4⋊C4—441no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C4⋊C4—441no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
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—441no—
1352C22⋊C4—441no—
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⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C42—41no—
1383C42—41no—
1384C42—222no—
1385C42—441no—
1386C42—441no—
1387C42—441no—
1388C42—441no—
1389C11#3679311yescharacteristic, complemented, Sylow
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—112no—
1404C23—112no—
1405C23—112no—
1406C23—112no—
1407C23—228no—
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—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—444no—
1433C23—444no—
1434C23—444no—
1435C23—444no—
1436C23—444no—
1437C23—444no—
1438C23—444no—
1439C23—444no—
1440C23—444no—
1441C23—882no—
1442C23—882no—
1443C23—882no—
1444C23—882no—
1445C23#6703712yes—
1446C23C24×D1111yescharacteristic
1447Q8—82no—
1448Q8—882no—
1449Q8—882no—
1450D4—44no—
1451D4—444no—
1452D4—444no—
1453D4—444no—
1454D4—444no—
1455D4—882no—
1456D4—882no—
1457D4—882no—
1458D4—882no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—44no—
1497C2×C4—112no—
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—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—444no—
1534C2×C4—444no—
1535C2×C4—444no—
1536C2×C4—444no—
1537C2×C4—444no—
1538C2×C4—444no—
1539C2×C4—882no—
1540C2×C4—882no—
1541C2×C4—882no—
1542C2×C4#41×D1112yes—
1543C2×C4#6704212yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—114no—
1559C22—222no—
1560C22—222no—
1561C22—222no—
1562C22—222no—
1563C22—222no—
1564C22—222no—
1565C22—222no—
1566C22—222no—
1567C22—222no—
1568C22—4416no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22—888no—
1588C22C2×#6703711yescharacteristic
1589C22C2×#41×D1111yescharacteristic
1590C22C2×#6704211yescharacteristic
1591C22D11×H(5,𝔽2)11yescharacteristic
1592C22D11×H(5,𝔽2)11yescharacteristic
1593C22D11×2−1+411yescharacteristic
1594C22#1062345711yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—222no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C2—42no—
1621C2—81no—
1622C2—224no—
1623C2—442no—
1624C2—881no—
1625C2—881no—
1626C2D11×#54211yescharacteristic
1627C2#1308229811yescharacteristic
1628C2#1308246911yescharacteristic
1629C2#1308276711yescharacteristic
1630C2#1308279511yescharacteristic
1631C2#1308282711yescharacteristic
1632C2#1308283911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2715C2
prime radical#13071967C2
hypercenter#2715D11
hypocenterC11#36793
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2715

Complements

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

NH ≅ G/Ntype
1. #13076911C2semidirect
2. #13076904C2semidirect
3. #13076460C2semidirect
4. #13076010C2semidirect
5. #13075946C2semidirect
6. #13075872C2semidirect
7. #13075674C2semidirect
8. #13075614C2semidirect
9. #13075536C2semidirect
10. #13075382C2semidirect
11. #13075353C2semidirect
12. #13075287C2semidirect
13. #13075222C2semidirect
14. #13075213C2semidirect
15. #13075091C2semidirect
16. #13075019C2semidirect
17. #13074874C2semidirect
18. #13074426C2semidirect
19. #13074390C2semidirect
20. #13073797C2semidirect
21. #13073626C2semidirect
22. #13072865C2semidirect
23. #13072858C2semidirect
24. #13072740C2semidirect
25. #13072735C2semidirect
26. #13072264C2semidirect
28. #13071348C2semidirect
29. #13071248C2semidirect
30. D11×#386C2semidirect
31. C11×#2715C2semidirect
34. C2×C11×#126C22semidirect
38. C2×#66977C22semidirect
39. C2×#66951C22semidirect
41. C2×#66950C22semidirect
43. C2×#66947C22semidirect
44. C2×#66947C22semidirect
46. C2×#66938C22semidirect
47. C2×#66938C22semidirect
55. C11×#397C22semidirect
56. C11×#397C22semidirect
57. C11×#396C22semidirect
58. C11×#396C22semidirect
59. C11×#395C22semidirect
61. C11×#391C22semidirect
62. C11×#389C22semidirect
63. C11×#388C22semidirect
64. C11×#387C22semidirect
66. C11×#385C22semidirect
67. C11×#380C22semidirect
68. #10622844C22semidirect
69. #10622843C22semidirect
74. #10622826C22semidirect
75. #10622607C22semidirect
76. #10622607C22semidirect
77. #10622607C22semidirect
78. #10622606C22semidirect
79. #10622606C22semidirect
80. #10622605C22semidirect
82. #10622604C22semidirect
83. #10622604C22semidirect
84. #10622603C22semidirect
85. #10622603C22semidirect
90. #10622602C22semidirect
91. #10622602C22semidirect
92. #10622601C22semidirect
95. #10622600C22semidirect
96. #10622600C22semidirect
97. #10622599C22semidirect
98. #10622597C22semidirect
99. #10622596C22semidirect
100. #10622594C22semidirect
101. #10622592C22semidirect
102. #10622592C22semidirect
103. #10622585C22semidirect
104. #10622574C22semidirect
105. #10622574C22semidirect
110. #10622572C22semidirect
111. #10622572C22semidirect
113. #10622571C22semidirect
124. #10622566C22semidirect
125. #10622566C22semidirect
126. #10622565C22semidirect
127. #10622565C22semidirect
128. #10622565C22semidirect
129. #10622564C22semidirect
130. #10622563C22semidirect
131. #10622563C22semidirect
132. #10622562C22semidirect
133. #10622561C22semidirect
134. #10622560C22semidirect
135. #10622559C22semidirect
136. #10622558C22semidirect
137. #10622558C22semidirect
138. #10622557C22semidirect
139. #10622553C22semidirect
140. #10622553C22semidirect
142. #10622552C22semidirect
145. #10622546C22semidirect
146. #10622542C22semidirect
147. #10622290C22semidirect
148. #10622288C22semidirect
149. #10622288C22semidirect
150. #10622287C22semidirect
151. #10622286C22semidirect
152. #10622286C22semidirect
153. #10622286C22semidirect
154. #10622285C22semidirect
155. #10622285C22semidirect
157. #10622283C22semidirect
158. #10622282C22semidirect
159. #10622282C22semidirect
162. #10622281C22semidirect
163. #10622281C22semidirect
172. #10622277C22semidirect
173. #10622277C22semidirect
174. #10622277C22semidirect
177. #10622267C22semidirect
178. #10622267C22semidirect
179. #10622267C22semidirect
180. #10622266C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
583. #2715D11semidirect
762. C2×#126C2×D11semidirect
798. #397C2×D11semidirect
799. #397C2×D11semidirect
804. #396C2×D11semidirect
805. #396C2×D11semidirect
808. #395C2×D11semidirect
833. #391C2×D11semidirect
843. #389C2×D11semidirect
855. #388C2×D11semidirect
863. #387C2×D11semidirect
891. #385C2×D11semidirect
902. #380C2×D11semidirect
1389. C11#36793semidirect

Maximal subgroups

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

subgroupindex
#130769112
#130769042
#130764602
#130760102
#130759462
#130758722
#130756742
#130756142
#130755362
#130753822
#130753532
#130752872
#130752222
#130752132
#130750912
#130750192
#130748742
#130744262
#130743902
#130737972
#130736262
#130728652
#130728582
#130727402
#130727352
#130722642
#130719672
#130713482
#130712482
D11×#3862
C11×#27152
#3679311