Finite Group Databasebeta

← #14927186

Subgroups — #14927186

Order 2816.

1964 conjugacy classes of subgroups.

The subgroup lattice has 1488 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076997C211yesmaximal, characteristic, complemented
2#13076985C211yesmaximal, characteristic, complemented
3#13076951C211yesmaximal, characteristic, complemented
4#13076914C211yesmaximal, characteristic, complemented
5#13074678C211yesmaximal, characteristic, complemented
6#13074676C211yesmaximal, characteristic, complemented
7#13074637C211yesmaximal, characteristic, complemented
8#13074635C211yesmaximal, characteristic, complemented
9#13073884C211yesmaximal, characteristic, complemented
10#13073865C211yesmaximal, characteristic, complemented
11#13073860C211yesmaximal, characteristic, complemented
12#13073221C211yesmaximal, characteristic, complemented
13#13073175C211yesmaximal, characteristic, complemented
14#13073173C211yesmaximal, characteristic, complemented
15#13072956C211yesmaximal, characteristic, complemented
16#13072400C211yesmaximal, characteristic, complemented
17#13072373C211yesmaximal, characteristic, complemented
18#13072371C211yesmaximal, characteristic, complemented
19#13072335C211yesmaximal, characteristic, complemented
20#13072269C211yesmaximal, characteristic, complemented
21#13072192C211yesmaximal, characteristic, complemented
22#13072051C211yesmaximal, characteristic
23#13071976C211yesmaximal, characteristic, complemented
24#13071315C211yesmaximal, characteristic, complemented
25#13071313C211yesmaximal, characteristic, complemented
26#13071252C211yesmaximal, characteristic, complemented
27#13071251C211yesmaximal, characteristic, complemented
28C4×#66937C211yesmaximal, characteristic, complemented
29D11×#391C211yesmaximal, characteristic, complemented
30C4×#66946C211yesmaximal, characteristic, complemented
31C11×#2574C211yesmaximal, characteristic, complemented
32C22×Q8×D11C2211yescharacteristic
33C2×C4×C22⋊D11C2211yescharacteristic
34C2×C4×C22⋊D11C2211yescharacteristic
35C2×#66949C2211yescharacteristic
36C2×#66949C2211yescharacteristic
37C2×#66948C2211yescharacteristic
38C2×#66946C2211yescharacteristic
39C2×#66946C2211yescharacteristic
40C2×C4⋊C4×D11C2211yescharacteristic
41C2×#66942C2211yescharacteristic
42C2×#66938C2211yescharacteristic
43C2×#66938C2211yescharacteristic
44C2×#66937C2211yescharacteristic
45C2×#66937C2211yescharacteristic
46C2×#66937C2211yescharacteristic
47C2×C4×D44C2211yescharacteristic
48C2×C4×D44C2211yescharacteristic
49C2×C42×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic
51C11×#398C2211yescharacteristic
52C11×#396C2211yescharacteristic
53C11×#395C2211yescharacteristic
54C11×#393C2211yescharacteristic
55C11×#391C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#387C2211yescharacteristic
59C11×#387C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C11×#385C2211yescharacteristic
62C11×#382C2211yescharacteristic
63C11×#380C2211yescharacteristic
64C4×C11×C4⋊C4C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66#10622844C2211yescharacteristic
67#10622844C2211yescharacteristic
68#10622843C2211yescharacteristic
69#10622826C2211yescharacteristic
70#10622824C2211yescharacteristic
71#10622607C2211yescharacteristic
72#10622606C2211yescharacteristic
73#10622606C2211yescharacteristic
74#10622606C2211yescharacteristic
75#10622604C2211yescharacteristic
76#10622604C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622602C2211yescharacteristic
85#10622600C2211yescharacteristic
86#10622599C2211yescharacteristic
87#10622599C2211yescharacteristic
88#10622595C2211yescharacteristic
89#10622594C2211yescharacteristic
90#10622592C2211yescharacteristic
91#10622591C2211yescharacteristic
92#10622591C2211yescharacteristic
93#10622591C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96#10622587C2211yescharacteristic
97#10622585C2211yescharacteristic
98#10622585C2211yescharacteristic
99#10622585C2211yescharacteristic
100#10622574C2211yescharacteristic
101#10622572C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622566C2211yescharacteristic
111#10622565C2211yescharacteristic
112#10622565C2211yescharacteristic
113#10622564C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622560C2211yescharacteristic
116#10622558C2211yescharacteristic
117#10622558C2211yescharacteristic
118#10622557C2211yescharacteristic
119#10622553C2211yescharacteristic
120#10622553C2211yescharacteristic
121#10622553C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125#10622550C2211yescharacteristic
126#10622546C2211yescharacteristic
127#10622546C2211yescharacteristic
128C4×Dic11⋊C4C2211yescharacteristic
129C42×Dic11C2211yescharacteristic
130#10622542C2211yescharacteristic
131#10622288C2211yescharacteristic
132#10622287C2211yescharacteristic
133#10622286C2211yescharacteristic
134#10622286C2211yescharacteristic
135#10622283C2211yescharacteristic
136#10622283C2211yescharacteristic
137#10622282C2211yescharacteristic
138#10622282C2211yescharacteristic
139#10622281C2211yescharacteristic
140#10622280C2211yescharacteristic
141#10622280C2211yescharacteristic
142#10622280C2211yescharacteristic
143#10622280C2211yescharacteristic
144#10622279C2211yescharacteristic
145#10622279C2211yescharacteristic
146#10622279C2211yescharacteristic
147#10622279C2211yescharacteristic
148#10622278C2211yescharacteristic
149#10622278C2211yescharacteristic
150#10622278C2211yescharacteristic
151#10622278C2211yescharacteristic
152#10622278C2211yescharacteristic
153#10622278C2211yescharacteristic
154#10622278C2211yescharacteristic
155#10622278C2211yescharacteristic
156#10622278C2211yescharacteristic
157#10622277C2211yescharacteristic
158#10622277C2211yescharacteristic
159#10622277C2211yescharacteristic
160D11×#95C2211yescharacteristic
161D11×#95C2211yescharacteristic
162D11×#95C2211yescharacteristic
163D11×#95C2211yescharacteristic
164C11⋊#401C2211yescharacteristic
165C11⋊#401C2211yescharacteristic
166#10622273C2211yescharacteristic
167#10622273C2211yescharacteristic
168#10622272C2211yescharacteristic
169#10622270C2211yescharacteristic
170#10622266C2211yescharacteristic
171#10622266C2211yescharacteristic
172#10622265C2211yescharacteristic
173#10622264C2211yescharacteristic
174#10622264C2211yescharacteristic
175#10622264C2211yescharacteristic
176#10622263C2211yescharacteristic
177#10622263C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622259C2211yescharacteristic
180#10622259C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C22×C22⋊D11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C2×Q8×D11—24no—
193C2×Q8×D11—42no—
194C2×Q8×D11—42no—
195C22×D44C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×D44C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×Dic22C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C4×C22⋊D11—24no—
237C4×C22⋊D11—42no—
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
265C2×C4⋊Dic11C2311yescharacteristic
266C2×C4⋊Dic11C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291#66949—42no—
292#66949—42no—
293#66948—24no—
294#66946—24no—
295#66946—24no—
296C4⋊C4×D11—42no—
297#66942—42no—
298#66938—42no—
299#66938—42no—
300#66937—24no—
301#66937—24no—
302#66937—42no—
303C4×D44—24no—
304C4×D44—24no—
305C42×D11—42no—
306C42×D11—42no—
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
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
363#35030—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C23×D11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C2×Q8×C11—22no—
369C2×Q8×C11—41no—
370C2×Q8×C11—41no—
371C22×C4×C11—22no—
372C22×C4×C11—41no—
373C22×C4×C11—41no—
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C2×C22⋊D11—22no—
389C2×C22⋊D11—22no—
390C2×C22⋊D11—22no—
391C2×C22⋊D11—22no—
392C2×C22⋊D11—22no—
393C2×C22⋊D11—22no—
394C2×C22⋊D11—22no—
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410Q8×D11—416no—
411C2×D44—22no—
412C2×D44—22no—
413C2×D44—22no—
414C2×D44—22no—
415C2×D44—22no—
416C2×D44—22no—
417C2×D44—41no—
418C2×D44—41no—
419C2×D44#4114yes—
420C2×C4×D11—22no—
421C2×C4×D11—22no—
422C2×C4×D11—22no—
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11—41no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—41no—
445C2×C4×D11—41no—
446C2×C4×D11—41no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11#4114yes—
452C2×C4×D11#4114yes—
453C2×Dic22—22no—
454C2×Dic22—22no—
455C2×Dic22—22no—
456C2×Dic22—22no—
457C2×Dic22—22no—
458C2×Dic22—22no—
459C2×Dic22—22no—
460C2×Dic22—41no—
461C2×Dic22—41no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—22no—
465C11×C4⋊C4—41no—
466C11×C4⋊C4—41no—
467C11×C4⋊C4—41no—
468C11×C4⋊C4—41no—
469C11×C4⋊C4—41no—
470C11×C4⋊C4—41no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—22no—
473C11×C22⋊C4—22no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C42×C11—22no—
478C42×C11—22no—
479C42×C11—41no—
480C42×C11—41no—
481C22⋊Dic11—22no—
482C22⋊Dic11—41no—
483C22⋊Dic11—41no—
484C22⋊Dic11—41no—
485C22⋊Dic11—41no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—22no—
498(C2×D11)⋊C4—22no—
499(C2×D11)⋊C4—22no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502(C2×D11)⋊C4—41no—
503(C2×D11)⋊C4—41no—
504(C2×D11)⋊C4—41no—
505(C2×D11)⋊C4—41no—
506(C2×D11)⋊C4—41no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511C4⋊Dic11—22no—
512C4⋊Dic11—22no—
513C4⋊Dic11—41no—
514C4⋊Dic11—41no—
515Dic11⋊C4—22no—
516Dic11⋊C4—22no—
517Dic11⋊C4—22no—
518Dic11⋊C4—22no—
519Dic11⋊C4—22no—
520Dic11⋊C4—22no—
521Dic11⋊C4—22no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—22no—
533C4×Dic11—22no—
534C4×Dic11—22no—
535C4×Dic11—22no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539#2863—111no—
540#2861—111no—
541#2855—111no—
542#2850—111no—
543#2653—111no—
544#2653—111no—
545#2650—111no—
546#2650—111no—
547#2574—111no—
548#2574D1111yescharacteristic, complemented
549#2572—111no—
550#2572—111no—
551#2514—111no—
552#2510—111no—
553#2510—111no—
554#2489—111no—
555#2447—111no—
556#2444—111no—
557#2444—111no—
558#2442—111no—
559#2436—111no—
560#2427—111no—
561#2416—111no—
562#2409—111no—
563#2325—111no—
564#2325—111no—
565#2318—111no—
566#2318—111no—
567C4×#121—111no—
568C2×#391—111no—
569C42×D4—111no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11C2511yescharacteristic
578C22×D11—21no—
579C22×D11—21no—
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11C2×#4112yes—
596C22×D11C2×#4112yes—
597C22×D11C2×#4112yes—
598C22×D11C2×#4112yes—
599Q8×C11—44no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—82no—
639C2×C4×C11C2×#4112yes—
640C2×C4×C11C2×#4112yes—
641C2×C4×C11C2×#4112yes—
642C2×C4×C112−1+412yes—
643C22⋊D11—44no—
644C22⋊D11—44no—
645C22⋊D11—82no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11C2×#4112yes—
682C2×Dic11C2×#4112yes—
683C2×Dic11H(5,𝔽2)12yes—
684C2×Dic11H(5,𝔽2)12yes—
685D44—28no—
686D44—44no—
687D44—82no—
688C4×D11—28no—
689C4×D11—44no—
690C4×D11—44no—
691C4×D11—44no—
692C4×D11—44no—
693C4×D11—44no—
694C4×D11—44no—
695C4×D11—44no—
696C4×D11—82no—
697C4×D11—82no—
698C4×D11—82no—
699Dic22—44no—
700Dic22—44no—
701Dic22—44no—
702C23×Q8—111no—
703C2×#125—111no—
704C2×#124—111no—
705C2×#124—111no—
706C2×C22⋊Q8—111no—
707C2×C22⋊Q8—111no—
708C2×#121—111no—
709C2×#121—111no—
710C2×#121—111no—
711C2×#121—111no—
712C2×C4×D4—111no—
713C2×C4×D4—111no—
714C2×C4×D4—111no—
715C2×C4×D4—111no—
716C2×C4×D4—111no—
717C2×C4×D4—111no—
718C22×C4⋊C4—111no—
719C22×C42—111no—
720C22×C42—111no—
721#401—111no—
722#401—111no—
723#400—111no—
724#400—111no—
725#400—111no—
726#400—111no—
727#400—111no—
728#400—111no—
729#398—111no—
730#398C2×D1111yescharacteristic
731#397—111no—
732#397—111no—
733#397—111no—
734#397—111no—
735#397—111no—
736#397—111no—
737#397—111no—
738#397—111no—
739#396—111no—
740#396C2×D1111yescharacteristic
741#395—111no—
742#395C2×D1111yescharacteristic
743#394—111no—
744#394—111no—
745#394—111no—
746#394—111no—
747#393—111no—
748#393—111no—
749#393—111no—
750#393—111no—
751#393—111no—
752#393C2×D1111yescharacteristic
753#391—111no—
754#391—111no—
755#391—111no—
756#391—111no—
757#391—111no—
758#391—111no—
759#391—111no—
760#391—111no—
761#391—111no—
762#391—111no—
763#391—111no—
764#391C2×D1111yescharacteristic
765#390—111no—
766#390—111no—
767#389—111no—
768#389—111no—
769#389—111no—
770#389—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388—111no—
777#388—111no—
778#388—111no—
779#388—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388C2×D1111yescharacteristic
786#388C2×D1111yescharacteristic
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#387—111no—
794#387—111no—
795#387—111no—
796#387C2×D1111yescharacteristic
797#387C2×D1111yescharacteristic
798#387C2×D1111yescharacteristic
799#386—111no—
800#386—111no—
801#386—111no—
802#386—111no—
803#386—111no—
804#386—111no—
805#386—111no—
806#386—111no—
807#386—111no—
808#386—111no—
809#386—111no—
810#386—111no—
811#386—111no—
812#386—111no—
813#386—111no—
814#386—111no—
815#385—111no—
816#385—111no—
817#385—111no—
818#385—111no—
819#385—111no—
820#385—111no—
821#385—111no—
822#385C2×D1111yescharacteristic
823#383—111no—
824#383—111no—
825#383—111no—
826#383—111no—
827#382—111no—
828#382—111no—
829#382C2×D1111yescharacteristic
830#381—111no—
831#381—111no—
832#381—111no—
833#381—111no—
834#380—111no—
835#380—111no—
836#380—111no—
837#380—111no—
838#380—111no—
839#380C2×D1111yescharacteristic
840C4×C4⋊C4—111no—
841C4×C4⋊C4—111no—
842C4×C4⋊C4—111no—
843C4×C4⋊C4C2×D1111yescharacteristic
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4C2×D1111yescharacteristic
852C2×#95—111no—
853C2×#95—111no—
854C2×#95—111no—
855C2×#95—111no—
856C43—111no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11C22×#4111yescharacteristic
865C22×C11C22×#4111yescharacteristic
866C22×C11C22×#4111yescharacteristic
867C22×C11C2×H(5,𝔽2)11yescharacteristic
868C22×C11C2×H(5,𝔽2)11yescharacteristic
869C22×C11C2×2−1+411yescharacteristic
870C22×C11#58511yescharacteristic
871C2×D11—22no—
872C2×D11—22no—
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—22no—
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11#52914yes—
892C4×C11—22no—
893C4×C11—22no—
894C4×C11—22no—
895C4×C11—22no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906Dic11—22no—
907Dic11—41no—
908Dic11—41no—
909Dic11—41no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11#53814yes—
919C22×Q8—111no—
920C22×Q8—111no—
921C22×Q8—111no—
922C22×Q8—224no—
923C22×Q8—442no—
924C22×Q8—442no—
925C22×Q8C22×D1111yescharacteristic
926C22×D4—111no—
927C22×D4—111no—
928C22×D4—111no—
929C22×D4—111no—
930C22×D4—111no—
931C22×D4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937C23×C4—111no—
938C23×C4—111no—
939C23×C4—111no—
940C23×C4—111no—
941C23×C4—111no—
942C23×C4—111no—
943C23×C4C22×D1111yescharacteristic
944#125—442no—
945#124—442no—
946#124—442no—
947C22⋊Q8—442no—
948C22⋊Q8—442no—
949#121—224no—
950#121—224no—
951#121—224no—
952#121—442no—
953C4×D4—224no—
954C4×D4—224no—
955C4×D4—224no—
956C4×D4—224no—
957C4×D4—224no—
958C4×D4—442no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—442no—
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
984C2×C4⋊C4C22×D1111yescharacteristic
985C2×C4⋊C4C22×D1111yescharacteristic
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4C22×D1111yescharacteristic
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C22⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4C22×D1111yescharacteristic
1021C2×C22⋊C4C22×D1111yescharacteristic
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—442no—
1034C2×C42—442no—
1035C2×C42C22×D1111yescharacteristic
1036C2×C42C22×D1111yescharacteristic
1037C2×C42C22×D1111yescharacteristic
1038C2×C42C22×D1111yescharacteristic
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095C2×C11—81no—
1096C2×C11C2×#52911yescharacteristic
1097C2×C11C2×#53811yescharacteristic
1098C2×C11#346111yescharacteristic
1099C2×C11#350511yescharacteristic
1100C2×C11#351111yescharacteristic
1101C2×C11#351411yescharacteristic
1102C2×C11#352011yescharacteristic
1103D11—24no—
1104D11—42no—
1105D11—81no—
1106C24—111no—
1107C24—111no—
1108C24—111no—
1109C24C23×D1111yescharacteristic
1110C2×Q8—22no—
1111C2×Q8—41no—
1112C2×Q8—41no—
1113C2×Q8—222no—
1114C2×Q8—222no—
1115C2×Q8—222no—
1116C2×Q8—222no—
1117C2×Q8—222no—
1118C2×Q8—222no—
1119C2×Q8—222no—
1120C2×Q8—441no—
1121C2×Q8—441no—
1122C2×Q8—4416no—
1123C2×D4—114no—
1124C2×D4—222no—
1125C2×D4—222no—
1126C2×D4—222no—
1127C2×D4—222no—
1128C2×D4—222no—
1129C2×D4—222no—
1130C2×D4—222no—
1131C2×D4—222no—
1132C2×D4—222no—
1133C2×D4—222no—
1134C2×D4—222no—
1135C2×D4—222no—
1136C2×D4—222no—
1137C2×D4—441no—
1138C2×D4—441no—
1139C2×D4—441no—
1140C2×D4—441no—
1141C22×C4—22no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—114no—
1147C22×C4—114no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—111no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—222no—
1171C22×C4—222no—
1172C22×C4—222no—
1173C22×C4—222no—
1174C22×C4—441no—
1175C22×C4—441no—
1176C22×C4—441no—
1177C22×C4—441no—
1178C22×C4—441no—
1179C22×C4—441no—
1180C22×C4—441no—
1181C22×C4—441no—
1182C22×C4—441no—
1183C22×C4—441no—
1184C22×C4—441no—
1185C22×C4—441no—
1186C22×C4—441no—
1187C22×C4—441no—
1188C22×C4—441no—
1189C22×C4—441no—
1190C22×C4C23×D1111yescharacteristic
1191C22×C4C23×D1111yescharacteristic
1192C22×C4C23×D1111yescharacteristic
1193C22×C4C23×D1111yescharacteristic
1194C22×C4C23×D1111yescharacteristic
1195C22×C4C23×D1111yescharacteristic
1196C22×C4C23×D1111yescharacteristic
1197C22×C4C23×D1111yescharacteristic
1198C22×C4C23×D1111yescharacteristic
1199C22×C4C23×D1111yescharacteristic
1200C22×C4C23×D1111yescharacteristic
1201C22×C4C23×D1111yescharacteristic
1202C22×C4C23×D1111yescharacteristic
1203C22×C4C23×D1111yescharacteristic
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—222no—
1214C4⋊C4—222no—
1215C4⋊C4—222no—
1216C4⋊C4—222no—
1217C4⋊C4—222no—
1218C4⋊C4—222no—
1219C4⋊C4—222no—
1220C4⋊C4—222no—
1221C4⋊C4—222no—
1222C4⋊C4—441no—
1223C4⋊C4—441no—
1224C4⋊C4—441no—
1225C4⋊C4—441no—
1226C4⋊C4—441no—
1227C4⋊C4—441no—
1228C4⋊C4—441no—
1229C4⋊C4—441no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
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—441no—
1252C22⋊C4—441no—
1253C22⋊C4—441no—
1254C22⋊C4—441no—
1255C22⋊C4—441no—
1256C22⋊C4—441no—
1257C22⋊C4—441no—
1258C22⋊C4—441no—
1259C22⋊C4—441no—
1260C22⋊C4—441no—
1261C22⋊C4—441no—
1262C22⋊C4—441no—
1263C22⋊C4—441no—
1264C22⋊C4—441no—
1265C22⋊C4—441no—
1266C42—22no—
1267C42—22no—
1268C42—41no—
1269C42—41no—
1270C42—222no—
1271C42—222no—
1272C42—222no—
1273C42—222no—
1274C42—222no—
1275C42—222no—
1276C42—222no—
1277C42—222no—
1278C42—441no—
1279C42—441no—
1280C42—441no—
1281C11#3503011yescharacteristic, complemented, Sylow
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—112no—
1290C23—112no—
1291C23—112no—
1292C23—112no—
1293C23—221no—
1294C23—221no—
1295C23—221no—
1296C23—221no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23C24×D1111yescharacteristic
1311Q8—44no—
1312Q8—444no—
1313Q8—444no—
1314Q8—444no—
1315D4—228no—
1316D4—444no—
1317D4—444no—
1318D4—444no—
1319D4—882no—
1320D4—882no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—82no—
1360C2×C4—112no—
1361C2×C4—112no—
1362C2×C4—112no—
1363C2×C4—112no—
1364C2×C4—228no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—444no—
1401C2×C4—444no—
1402C2×C4—444no—
1403C2×C4—444no—
1404C2×C4—444no—
1405C2×C4—444no—
1406C2×C4—444no—
1407C2×C4—882no—
1408C2×C4—882no—
1409C2×C4—882no—
1410C2×C4#6704012yes—
1411C2×C4#41×D1112yes—
1412C2×C4#41×D1112yes—
1413C2×C4#41×D1112yes—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—114no—
1422C22—222no—
1423C22—222no—
1424C22—222no—
1425C22—222no—
1426C22—222no—
1427C22—222no—
1428C22—222no—
1429C22—222no—
1430C22—222no—
1431C22—441no—
1432C22—441no—
1433C22—441no—
1434C22—441no—
1435C22—441no—
1436C22—441no—
1437C22—441no—
1438C22—441no—
1439C22—441no—
1440C22—441no—
1441C22—441no—
1442C22C2×#6704011yescharacteristic
1443C22C2×#41×D1111yescharacteristic
1444C22C2×#41×D1111yescharacteristic
1445C22C2×#41×D1111yescharacteristic
1446C22#1062345311yescharacteristic
1447C22D11×H(5,𝔽2)11yescharacteristic
1448C22D11×H(5,𝔽2)11yescharacteristic
1449C4—22no—
1450C4—22no—
1451C4—22no—
1452C4—22no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—114no—
1464C4—222no—
1465C4—441no—
1466C4—441no—
1467C4—441no—
1468C4—441no—
1469C4—441no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C2—81no—
1477C2—224no—
1478C2—442no—
1479C2—881no—
1480C2D11×#52911yescharacteristic
1481C2D11×#53811yescharacteristic
1482C2#1308204711yescharacteristic
1483C2#1308244711yescharacteristic
1484C2#1308252411yescharacteristic
1485C2#1308257311yescharacteristic
1486C2#1308266111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2574C2
prime radical#13072051C2
hypercenter#2574D11
hypocenterC11#35030
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2574

Complements

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

NH ≅ G/Ntype
1. #13076997C2semidirect
2. #13076985C2semidirect
3. #13076951C2semidirect
4. #13076914C2semidirect
5. #13074678C2semidirect
6. #13074676C2semidirect
7. #13074637C2semidirect
8. #13074635C2semidirect
9. #13073884C2semidirect
10. #13073865C2semidirect
11. #13073860C2semidirect
12. #13073221C2semidirect
13. #13073175C2semidirect
14. #13073173C2semidirect
15. #13072956C2semidirect
16. #13072400C2semidirect
17. #13072373C2semidirect
18. #13072371C2semidirect
19. #13072335C2semidirect
20. #13072269C2semidirect
21. #13072192C2semidirect
23. #13071976C2semidirect
24. #13071315C2semidirect
25. #13071313C2semidirect
26. #13071252C2semidirect
27. #13071251C2semidirect
28. C4×#66937C2semidirect
29. D11×#391C2semidirect
30. C4×#66946C2semidirect
31. C11×#2574C2semidirect
548. #2574D11semidirect
1281. C11#35030semidirect

Maximal subgroups

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

subgroupindex
#130769972
#130769852
#130769512
#130769142
#130746782
#130746762
#130746372
#130746352
#130738842
#130738652
#130738602
#130732212
#130731752
#130731732
#130729562
#130724002
#130723732
#130723712
#130723352
#130722692
#130721922
#130720512
#130719762
#130713152
#130713132
#130712522
#130712512
C4×#669372
D11×#3912
C4×#669462
C11×#25742
#3503011