Finite Group Databasebeta

← #14920902

Subgroups — #14920902

Order 2816.

1738 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074688C211yesmaximal, characteristic, complemented
2#13074677C211yesmaximal, characteristic, complemented
3#13074675C211yesmaximal, characteristic, complemented
4#13074636C211yesmaximal, characteristic, complemented
5#13074634C211yesmaximal, characteristic, complemented
6#13074625C211yesmaximal, characteristic, complemented
7#13074623C211yesmaximal, characteristic, complemented
8#13074590C211yesmaximal, characteristic, complemented
9#13074580C211yesmaximal, characteristic, complemented
10#13074575C211yesmaximal, characteristic, complemented
11#13074551C211yesmaximal, characteristic, complemented
12#13074444C211yesmaximal, characteristic, complemented
13#13074419C211yesmaximal, characteristic, complemented
14#13074409C211yesmaximal, characteristic
15#13074375C211yesmaximal, characteristic
16#13071918C211yesmaximal, characteristic, complemented
17#13071915C211yesmaximal, characteristic, complemented
18#13071905C211yesmaximal, characteristic, complemented
19#13071901C211yesmaximal, characteristic, complemented
20#13071893C211yesmaximal, characteristic, complemented
21#13071885C211yesmaximal, characteristic, complemented
22#13071880C211yesmaximal, characteristic, complemented
23#13071874C211yesmaximal, characteristic, complemented
24#13071187C211yesmaximal, characteristic, complemented
25#13071157C211yesmaximal, characteristic, complemented
26#13071150C211yesmaximal, characteristic, complemented
27#13071128C211yesmaximal, characteristic
28#13071089C211yesmaximal, characteristic, complemented
29#13071076C211yesmaximal, characteristic, complemented
30C4×#66945C211yesmaximal, characteristic, complemented
31C11×#2654C211yesmaximal, characteristic, complemented
32C2×#66949C2211yescharacteristic
33C2×#66946C2211yescharacteristic
34C2×#66945C2211yescharacteristic
35C2×#66945C2211yescharacteristic
36C2×#66945C2211yescharacteristic
37C2×#66941C2211yescharacteristic
38C2×#66940C2211yescharacteristic
39C2×#66940C2211yescharacteristic
40C2×#66940C2211yescharacteristic
41C2×#66938C2211yescharacteristic
42C2×#66937C2211yescharacteristic
43C2×(C22⋊D11)⋊C4C2211yescharacteristic
44C2×(C22⋊D11)⋊C4C2211yescharacteristic
45C2×#66930C2211yescharacteristic
46C2×C42×D11C2211yescharacteristic
47C11×#400C2211yescharacteristic
48C11×#400C2211yescharacteristic
49C11×#399C2211yescharacteristic
50C11×#398C2211yescharacteristic
51C11×#398C2211yescharacteristic
52C11×#397C2211yescharacteristic
53C11×#397C2211yescharacteristic
54C11×#396C2211yescharacteristic
55C11×#389C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#387C2211yescharacteristic
60C11×#387C2211yescharacteristic
61C4×C11×C4⋊C4C2211yescharacteristic
62#10622607C2211yescharacteristic
63#10622607C2211yescharacteristic
64#10622607C2211yescharacteristic
65#10622606C2211yescharacteristic
66#10622606C2211yescharacteristic
67#10622606C2211yescharacteristic
68#10622605C2211yescharacteristic
69#10622605C2211yescharacteristic
70#10622604C2211yescharacteristic
71#10622604C2211yescharacteristic
72#10622604C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622602C2211yescharacteristic
75#10622599C2211yescharacteristic
76#10622599C2211yescharacteristic
77#10622599C2211yescharacteristic
78#10622599C2211yescharacteristic
79#10622597C2211yescharacteristic
80#10622595C2211yescharacteristic
81#10622595C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622593C2211yescharacteristic
84#10622593C2211yescharacteristic
85#10622589C2211yescharacteristic
86C4⋊C4×Dic11C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92#10622585C2211yescharacteristic
93#10622585C2211yescharacteristic
94#10622585C2211yescharacteristic
95#10622585C2211yescharacteristic
96#10622585C2211yescharacteristic
97#10622574C2211yescharacteristic
98#10622572C2211yescharacteristic
99#10622572C2211yescharacteristic
100#10622572C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic
104#10622570C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622566C2211yescharacteristic
107#10622566C2211yescharacteristic
108#10622566C2211yescharacteristic
109#10622565C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622561C2211yescharacteristic
112#10622561C2211yescharacteristic
113#10622560C2211yescharacteristic
114#10622560C2211yescharacteristic
115#10622558C2211yescharacteristic
116C22⋊C4×Dic11C2211yescharacteristic
117C22⋊C4×Dic11C2211yescharacteristic
118C22⋊C4×Dic11C2211yescharacteristic
119C22⋊C4×Dic11C2211yescharacteristic
120#10622553C2211yescharacteristic
121#10622553C2211yescharacteristic
122#10622553C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×C4⋊Dic11C2211yescharacteristic
126#10622546C2211yescharacteristic
127#10622546C2211yescharacteristic
128C42×Dic11C2211yescharacteristic
129C42×Dic11C2211yescharacteristic
130#10622541C2211yescharacteristic
131#10622290C2211yescharacteristic
132#10622288C2211yescharacteristic
133#10622288C2211yescharacteristic
134#10622288C2211yescharacteristic
135#10622288C2211yescharacteristic
136#10622287C2211yescharacteristic
137#10622287C2211yescharacteristic
138#10622287C2211yescharacteristic
139#10622286C2211yescharacteristic
140#10622286C2211yescharacteristic
141#10622286C2211yescharacteristic
142#10622286C2211yescharacteristic
143#10622285C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622280C2211yescharacteristic
147#10622280C2211yescharacteristic
148#10622279C2211yescharacteristic
149#10622279C2211yescharacteristic
150#10622279C2211yescharacteristic
151#10622279C2211yescharacteristic
152#10622279C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622278C2211yescharacteristic
157C11⋊#401C2211yescharacteristic
158C11⋊#401C2211yescharacteristic
159#10622273C2211yescharacteristic
160#10622273C2211yescharacteristic
161#10622272C2211yescharacteristic
162#10622271C2211yescharacteristic
163#10622271C2211yescharacteristic
164#10622271C2211yescharacteristic
165#10622270C2211yescharacteristic
166#10622269C2211yescharacteristic
167#10622269C2211yescharacteristic
168#10622265C2211yescharacteristic
169#10622263C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622261C2211yescharacteristic
175#10622261C2211yescharacteristic
176#10622261C2211yescharacteristic
177#10622261C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622259C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×C22⋊D11C2311yescharacteristic
188C22×C22⋊D11C2311yescharacteristic
189C23×Dic11C2311yescharacteristic
190C22×D44C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×Dic22C2311yescharacteristic
196C22×Dic22C2311yescharacteristic
197C22×Dic22C2311yescharacteristic
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C22⋊Dic11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×(C2×D11)⋊C4C2311yescharacteristic
225C2×(C2×D11)⋊C4C2311yescharacteristic
226C2×(C2×D11)⋊C4C2311yescharacteristic
227C2×(C2×D11)⋊C4C2311yescharacteristic
228C2×(C2×D11)⋊C4C2311yescharacteristic
229C2×(C2×D11)⋊C4C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×C4×Dic11C2311yescharacteristic
272C2×C4×Dic11C2311yescharacteristic
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2311yescharacteristic
275C2×C4×Dic11C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
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
290#66949—24no—
291#66946—42no—
292#66945—24no—
293#66945—24no—
294#66945—42no—
295#66941—24no—
296#66940—24no—
297#66940—42no—
298#66940—42no—
299#66938—24no—
300#66937—24no—
301(C22⋊D11)⋊C4—24no—
302(C22⋊D11)⋊C4—42no—
303#66930—42no—
304C42×D11—24no—
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
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
357#34619—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11C2411yescharacteristic
360C23×D11C2411yescharacteristic
361C22×C4×C11C2411yescharacteristic
362C22×C4×C11C2411yescharacteristic
363C22×C4×C11C2411yescharacteristic
364C22×C4×C11C2411yescharacteristic
365C22×C4×C11C2411yescharacteristic
366C22×C4×C11C2411yescharacteristic
367C22×C4×C11C2411yescharacteristic
368C22×C4×C11C2411yescharacteristic
369C22×C4×C11C2411yescharacteristic
370C22×C4×C11C2411yescharacteristic
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C2×C22⋊D11—22no—
376C2×C22⋊D11—22no—
377C2×C22⋊D11—22no—
378C2×C22⋊D11—22no—
379C2×C22⋊D11—41no—
380C2×C22⋊D11—41no—
381C22×Dic11—22no—
382C22×Dic11—22no—
383C22×Dic11—22no—
384C22×Dic11C2411yescharacteristic
385C22×Dic11C2411yescharacteristic
386C22×Dic11C2411yescharacteristic
387C22×Dic11C2411yescharacteristic
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C2×D44—22no—
399C2×D44—41no—
400C2×D44—41no—
401C2×C4×D11—22no—
402C2×C4×D11—22no—
403C2×C4×D11—22no—
404C2×C4×D11—22no—
405C2×C4×D11—22no—
406C2×C4×D11—22no—
407C2×C4×D11—22no—
408C2×C4×D11—22no—
409C2×C4×D11—22no—
410C2×C4×D11—41no—
411C2×C4×D11—41no—
412C2×C4×D11#4114yes—
413C2×Dic22—22no—
414C2×Dic22—22no—
415C2×Dic22—22no—
416C2×Dic22—22no—
417C2×Dic22—22no—
418C2×Dic22—41no—
419C2×Dic22—41no—
420C2×Dic22—41no—
421C2×Dic22—41no—
422C11×C4⋊C4—22no—
423C11×C4⋊C4—22no—
424C11×C4⋊C4—22no—
425C11×C4⋊C4—22no—
426C11×C4⋊C4—22no—
427C11×C4⋊C4—41no—
428C11×C4⋊C4—41no—
429C11×C4⋊C4—41no—
430C11×C4⋊C4—41no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4—41no—
433C11×C22⋊C4—22no—
434C11×C22⋊C4—22no—
435C11×C22⋊C4—22no—
436C11×C22⋊C4—41no—
437C11×C22⋊C4—41no—
438C11×C22⋊C4—41no—
439C11×C22⋊C4—41no—
440C42×C11—22no—
441C42×C11—41no—
442C42×C11—41no—
443C22⋊Dic11—22no—
444C22⋊Dic11—41no—
445C22⋊Dic11—41no—
446C22⋊Dic11—41no—
447C22⋊Dic11—41no—
448(C2×D11)⋊C4—22no—
449(C2×D11)⋊C4—22no—
450(C2×D11)⋊C4—22no—
451(C2×D11)⋊C4—22no—
452(C2×D11)⋊C4—22no—
453(C2×D11)⋊C4—22no—
454(C2×D11)⋊C4—22no—
455(C2×D11)⋊C4—22no—
456(C2×D11)⋊C4—22no—
457(C2×D11)⋊C4—22no—
458(C2×D11)⋊C4—41no—
459(C2×D11)⋊C4—41no—
460(C2×D11)⋊C4—41no—
461(C2×D11)⋊C4—41no—
462(C2×D11)⋊C4—41no—
463(C2×D11)⋊C4—41no—
464(C2×D11)⋊C4—41no—
465(C2×D11)⋊C4—41no—
466(C2×D11)⋊C4—41no—
467(C2×D11)⋊C4—41no—
468(C2×D11)⋊C4—41no—
469(C2×D11)⋊C4—41no—
470C4⋊Dic11—22no—
471C4⋊Dic11—22no—
472C4⋊Dic11—22no—
473C4⋊Dic11—41no—
474C4⋊Dic11—41no—
475C4⋊Dic11—41no—
476C4⋊Dic11—41no—
477Dic11⋊C4—22no—
478Dic11⋊C4—22no—
479Dic11⋊C4—22no—
480Dic11⋊C4—22no—
481Dic11⋊C4—22no—
482Dic11⋊C4—22no—
483Dic11⋊C4—22no—
484Dic11⋊C4—22no—
485Dic11⋊C4—41no—
486Dic11⋊C4—41no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491Dic11⋊C4—41no—
492Dic11⋊C4—41no—
493Dic11⋊C4—41no—
494Dic11⋊C4—41no—
495C4×Dic11—22no—
496C4×Dic11—22no—
497C4×Dic11—22no—
498C4×Dic11—22no—
499C4×Dic11—22no—
500C4×Dic11—22no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11#4114yes—
513C4×Dic11#4114yes—
514#2654—111no—
515#2654D1111yescharacteristic, complemented
516#2653—111no—
517#2653—111no—
518#2650—111no—
519#2650—111no—
520#2649—111no—
521#2649—111no—
522#2647—111no—
523#2645—111no—
524#2644—111no—
525#2640—111no—
526#2628—111no—
527#2625—111no—
528#2624—111no—
529#2620—111no—
530#2401—111no—
531#2401—111no—
532#2398—111no—
533#2398—111no—
534#2396—111no—
535#2396—111no—
536#2395—111no—
537#2395—111no—
538C4×C4⋊Q8—111no—
539C4×#124—111no—
540C4×C22⋊Q8—111no—
541C4×#121—111no—
542#2295—111no—
543#2293—111no—
544C4×#117—111no—
545C23×C11—21no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—21no—
551C23×C11—21no—
552C23×C11C2511yescharacteristic
553C22×D11—21no—
554C22×D11—21no—
555C22×D11—21no—
556C22×D11—21no—
557C22×D11—21no—
558C22×D11—21no—
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11—21no—
565C22×D11—21no—
566C22×D11C2×#4112yes—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11C2×#4112yes—
607C2×C4×C11C2×#4112yes—
608C2×C4×C11C2×#4112yes—
609C22⋊D11—44no—
610C22⋊D11—44no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—44no—
647C2×Dic11C2×#4112yes—
648C2×Dic11C2×#4112yes—
649C2×Dic11C2×#4112yes—
650C2×Dic11C2×#4112yes—
651C2×Dic11C2×#4112yes—
652C2×Dic11H(5,𝔽2)12yes—
653C2×Dic112−1+412yes—
654D44—44no—
655C4×D11—28no—
656C4×D11—44no—
657C4×D11—44no—
658C4×D11—44no—
659Dic22—44no—
660Dic22—44no—
661Dic22—44no—
662C2×C4⋊Q8—111no—
663C2×#124—111no—
664C2×C22⋊Q8—111no—
665C2×#121—111no—
666C2×C4×Q8—111no—
667C2×C4×Q8—111no—
668C2×C4×Q8—111no—
669C2×C4×D4—111no—
670C2×C4×D4—111no—
671C2×C4×D4—111no—
672C2×#117—111no—
673C2×#117—111no—
674C2×#117—111no—
675C2×#117—111no—
676C22×C42—111no—
677#401—111no—
678#401—111no—
679#400—111no—
680#400—111no—
681#400—111no—
682#400—111no—
683#400—111no—
684#400—111no—
685#400—111no—
686#400—111no—
687#400—111no—
688#400—111no—
689#400—111no—
690#400—111no—
691#400C2×D1111yescharacteristic
692#400C2×D1111yescharacteristic
693#399—111no—
694#399—111no—
695#399—111no—
696#399C2×D1111yescharacteristic
697#398—111no—
698#398—111no—
699#398—111no—
700#398—111no—
701#398C2×D1111yescharacteristic
702#398C2×D1111yescharacteristic
703#397—111no—
704#397—111no—
705#397—111no—
706#397—111no—
707#397—111no—
708#397—111no—
709#397—111no—
710#397—111no—
711#397—111no—
712#397—111no—
713#397—111no—
714#397—111no—
715#397—111no—
716#397—111no—
717#397C2×D1111yescharacteristic
718#397C2×D1111yescharacteristic
719#396—111no—
720#396—111no—
721#396—111no—
722#396—111no—
723#396—111no—
724#396C2×D1111yescharacteristic
725#395—111no—
726#395—111no—
727#394—111no—
728#394—111no—
729#394—111no—
730#394—111no—
731#394—111no—
732#394—111no—
733#394—111no—
734#394—111no—
735#393—111no—
736#393—111no—
737#393—111no—
738#393—111no—
739#393—111no—
740#393—111no—
741#391—111no—
742#391—111no—
743#391—111no—
744#391—111no—
745#391—111no—
746#391—111no—
747#390—111no—
748#390—111no—
749#390—111no—
750#390—111no—
751#389—111no—
752#389—111no—
753#389—111no—
754#389—111no—
755#389—111no—
756#389—111no—
757#389—111no—
758#389—111no—
759#389—111no—
760#389C2×D1111yescharacteristic
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388C2×D1111yescharacteristic
769#388C2×D1111yescharacteristic
770#388C2×D1111yescharacteristic
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387C2×D1111yescharacteristic
776#387C2×D1111yescharacteristic
777#386—111no—
778#386—111no—
779#385—111no—
780#385—111no—
781#384—111no—
782#382—111no—
783#380—111no—
784#380—111no—
785C4×C4⋊C4—111no—
786C4×C4⋊C4—111no—
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4C2×D1111yescharacteristic
797C4×C22⋊C4—111no—
798C4×C22⋊C4—111no—
799C4×C22⋊C4—111no—
800C4×C22⋊C4—111no—
801C4×C22⋊C4—111no—
802C4×C22⋊C4—111no—
803C4×C22⋊C4—111no—
804C4×C22⋊C4—111no—
805C4×C22⋊C4—111no—
806C4×C22⋊C4—111no—
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811#376—111no—
812#376—111no—
813#376—111no—
814#376—111no—
815C43—111no—
816C43—111no—
817C22×C11—41no—
818C22×C11—41no—
819C22×C11—41no—
820C22×C11—41no—
821C22×C11—41no—
822C22×C11—41no—
823C22×C11—41no—
824C22×C11C22×#4111yescharacteristic
825C22×C11C22×#4111yescharacteristic
826C22×C11C22×#4111yescharacteristic
827C22×C11C2×H(5,𝔽2)11yescharacteristic
828C22×C11C2×2−1+411yescharacteristic
829C22×C11#58511yescharacteristic
830C22×C11#58511yescharacteristic
831C2×D11—22no—
832C2×D11—22no—
833C2×D11—22no—
834C2×D11—41no—
835C2×D11—41no—
836C2×D11—41no—
837C2×D11—41no—
838C2×D11—41no—
839C2×D11—41no—
840C2×D11—41no—
841C2×D11—41no—
842C2×D11—41no—
843C2×D11—41no—
844C2×D11—41no—
845C4×C11—22no—
846C4×C11—22no—
847C4×C11—22no—
848C4×C11—41no—
849C4×C11—41no—
850C4×C11—41no—
851C4×C11—41no—
852C4×C11—41no—
853C4×C11—41no—
854C4×C11—41no—
855C4×C11—41no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859Dic11—22no—
860Dic11—41no—
861Dic11—41no—
862Dic11—41no—
863Dic11—41no—
864Dic11—41no—
865Dic11—41no—
866Dic11—41no—
867Dic11—41no—
868Dic11—41no—
869Dic11—41no—
870Dic11—41no—
871Dic11#52914yes—
872Dic11#54214yes—
873C22×Q8—111no—
874C22×Q8—111no—
875C22×Q8—111no—
876C22×D4—111no—
877C22×D4—111no—
878C22×D4—111no—
879C23×C4—111no—
880C23×C4—111no—
881C23×C4—111no—
882C23×C4—111no—
883C23×C4—111no—
884C4⋊Q8—224no—
885#124—224no—
886C22⋊Q8—224no—
887#121—224no—
888C4×Q8—224no—
889C4×Q8—442no—
890C4×Q8—442no—
891C4×D4—224no—
892C4×D4—442no—
893C4×D4—442no—
894#117—224no—
895#117—224no—
896#117—442no—
897#117—442no—
898C2×C4⋊C4—111no—
899C2×C4⋊C4—111no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4C22×D1111yescharacteristic
924C2×C4⋊C4C22×D1111yescharacteristic
925C2×C4⋊C4C22×D1111yescharacteristic
926C2×C4⋊C4C22×D1111yescharacteristic
927C2×C4⋊C4C22×D1111yescharacteristic
928C2×C4⋊C4C22×D1111yescharacteristic
929C2×C4⋊C4C22×D1111yescharacteristic
930C2×C4⋊C4C22×D1111yescharacteristic
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C4⋊C4C22×D1111yescharacteristic
933C2×C4⋊C4C22×D1111yescharacteristic
934C2×C22⋊C4—111no—
935C2×C22⋊C4—111no—
936C2×C22⋊C4—111no—
937C2×C22⋊C4—111no—
938C2×C22⋊C4—111no—
939C2×C22⋊C4—111no—
940C2×C22⋊C4—111no—
941C2×C22⋊C4—111no—
942C2×C22⋊C4—111no—
943C2×C22⋊C4—111no—
944C2×C22⋊C4—111no—
945C2×C22⋊C4—111no—
946C2×C22⋊C4—111no—
947C2×C22⋊C4—111no—
948C2×C22⋊C4—111no—
949C2×C22⋊C4—111no—
950C2×C22⋊C4—111no—
951C2×C22⋊C4—111no—
952C2×C22⋊C4—111no—
953C2×C22⋊C4—111no—
954C2×C22⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4C22×D1111yescharacteristic
962C2×C22⋊C4C22×D1111yescharacteristic
963C2×C22⋊C4C22×D1111yescharacteristic
964C2×C22⋊C4C22×D1111yescharacteristic
965C2×C22⋊C4C22×D1111yescharacteristic
966C2×C22⋊C4C22×D1111yescharacteristic
967C2×C22⋊C4C22×D1111yescharacteristic
968C2×C42—111no—
969C2×C42—111no—
970C2×C42—111no—
971C2×C42—111no—
972C2×C42—111no—
973C2×C42—111no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—224no—
988C2×C42C22×D1111yescharacteristic
989C2×C42C22×D1111yescharacteristic
990C2×C42C22×D1111yescharacteristic
991#95—111no—
992#95—111no—
993#95—111no—
994#95—111no—
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95C22×D1111yescharacteristic
1030#95C22×D1111yescharacteristic
1031#95C22×D1111yescharacteristic
1032#95C22×D1111yescharacteristic
1033#95C22×D1111yescharacteristic
1034#95C22×D1111yescharacteristic
1035#95C22×D1111yescharacteristic
1036#95C22×D1111yescharacteristic
1037#95C22×D1111yescharacteristic
1038#95C22×D1111yescharacteristic
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043C2×C11—81no—
1044C2×C11C2×#52911yescharacteristic
1045C2×C11C2×#54211yescharacteristic
1046C2×C11#345511yescharacteristic
1047C2×C11#346011yescharacteristic
1048C2×C11#346011yescharacteristic
1049C2×C11#346111yescharacteristic
1050C2×C11#346111yescharacteristic
1051D11—42no—
1052D11—81no—
1053C24—111no—
1054C24—111no—
1055C24C23×D1111yescharacteristic
1056C2×Q8—222no—
1057C2×Q8—222no—
1058C2×Q8—222no—
1059C2×Q8—222no—
1060C2×Q8—222no—
1061C2×Q8—441no—
1062C2×Q8—441no—
1063C2×Q8—441no—
1064C2×Q8—441no—
1065C2×D4—222no—
1066C2×D4—222no—
1067C2×D4—222no—
1068C2×D4—222no—
1069C2×D4—222no—
1070C2×D4—441no—
1071C2×D4—441no—
1072C2×D4—441no—
1073C2×D4—441no—
1074C22×C4—111no—
1075C22×C4—111no—
1076C22×C4—111no—
1077C22×C4—114no—
1078C22×C4—111no—
1079C22×C4—111no—
1080C22×C4—111no—
1081C22×C4—111no—
1082C22×C4—111no—
1083C22×C4—111no—
1084C22×C4—111no—
1085C22×C4—111no—
1086C22×C4—111no—
1087C22×C4—111no—
1088C22×C4—111no—
1089C22×C4—222no—
1090C22×C4—222no—
1091C22×C4—222no—
1092C22×C4—222no—
1093C22×C4—222no—
1094C22×C4—222no—
1095C22×C4—222no—
1096C22×C4—222no—
1097C22×C4—222no—
1098C22×C4—222no—
1099C22×C4—222no—
1100C22×C4—222no—
1101C22×C4—441no—
1102C22×C4—441no—
1103C22×C4C23×D1111yescharacteristic
1104C22×C4C23×D1111yescharacteristic
1105C22×C4C23×D1111yescharacteristic
1106C22×C4C23×D1111yescharacteristic
1107C22×C4C23×D1111yescharacteristic
1108C22×C4C23×D1111yescharacteristic
1109C22×C4C23×D1111yescharacteristic
1110C22×C4C23×D1111yescharacteristic
1111C22×C4C23×D1111yescharacteristic
1112C22×C4C23×D1111yescharacteristic
1113C22×C4C23×D1111yescharacteristic
1114C22×C4C23×D1111yescharacteristic
1115C22×C4C23×D1111yescharacteristic
1116C22×C4C23×D1111yescharacteristic
1117C4⋊C4—22no—
1118C4⋊C4—22no—
1119C4⋊C4—22no—
1120C4⋊C4—22no—
1121C4⋊C4—22no—
1122C4⋊C4—41no—
1123C4⋊C4—41no—
1124C4⋊C4—41no—
1125C4⋊C4—41no—
1126C4⋊C4—41no—
1127C4⋊C4—41no—
1128C4⋊C4—222no—
1129C4⋊C4—222no—
1130C4⋊C4—222no—
1131C4⋊C4—222no—
1132C4⋊C4—222no—
1133C4⋊C4—222no—
1134C4⋊C4—222no—
1135C4⋊C4—222no—
1136C4⋊C4—222no—
1137C4⋊C4—222no—
1138C4⋊C4—222no—
1139C4⋊C4—441no—
1140C4⋊C4—441no—
1141C4⋊C4—441no—
1142C4⋊C4—441no—
1143C4⋊C4—441no—
1144C4⋊C4—441no—
1145C4⋊C4—441no—
1146C4⋊C4—441no—
1147C4⋊C4—441no—
1148C4⋊C4—441no—
1149C4⋊C4—441no—
1150C4⋊C4—441no—
1151C4⋊C4—441no—
1152C4⋊C4—441no—
1153C22⋊C4—22no—
1154C22⋊C4—22no—
1155C22⋊C4—22no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
1159C22⋊C4—41no—
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—441no—
1172C22⋊C4—441no—
1173C22⋊C4—441no—
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—
1187C42—22no—
1188C42—41no—
1189C42—41no—
1190C42—114no—
1191C42—114no—
1192C42—222no—
1193C42—222no—
1194C42—222no—
1195C42—222no—
1196C42—222no—
1197C42—222no—
1198C42—222no—
1199C42—222no—
1200C42—222no—
1201C42—222no—
1202C42—222no—
1203C42—222no—
1204C42—222no—
1205C42—222no—
1206C42—222no—
1207C42—441no—
1208C42—441no—
1209C11#3461911yescharacteristic, complemented, Sylow
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—112no—
1218C23—221no—
1219C23—221no—
1220C23—221no—
1221C23—221no—
1222C23—221no—
1223C23—221no—
1224C23—221no—
1225C23—221no—
1226C23—221no—
1227C23—221no—
1228C23—221no—
1229C23—221no—
1230C23—221no—
1231C23C24×D1111yescharacteristic
1232Q8—444no—
1233Q8—444no—
1234Q8—444no—
1235D4—444no—
1236D4—444no—
1237D4—444no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—112no—
1278C2×C4—112no—
1279C2×C4—112no—
1280C2×C4—112no—
1281C2×C4—112no—
1282C2×C4—112no—
1283C2×C4—112no—
1284C2×C4—228no—
1285C2×C4—221no—
1286C2×C4—221no—
1287C2×C4—221no—
1288C2×C4—221no—
1289C2×C4—221no—
1290C2×C4—221no—
1291C2×C4—221no—
1292C2×C4—221no—
1293C2×C4—221no—
1294C2×C4—221no—
1295C2×C4—221no—
1296C2×C4—221no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—444no—
1321C2×C4—444no—
1322C2×C4—444no—
1323C2×C4—444no—
1324C2×C4#41×D1112yes—
1325C2×C4#41×D1112yes—
1326C2×C4#41×D1112yes—
1327C22—41no—
1328C22—41no—
1329C22—41no—
1330C22—41no—
1331C22—41no—
1332C22—41no—
1333C22—41no—
1334C22—222no—
1335C22—222no—
1336C22—222no—
1337C22—441no—
1338C22—441no—
1339C22—441no—
1340C22—441no—
1341C22—441no—
1342C22—441no—
1343C22—441no—
1344C22—441no—
1345C22—441no—
1346C22—441no—
1347C22—441no—
1348C22C2×#41×D1111yescharacteristic
1349C22C2×#41×D1111yescharacteristic
1350C22C2×#41×D1111yescharacteristic
1351C22D11×H(5,𝔽2)11yescharacteristic
1352C22#1062345511yescharacteristic
1353C22D11×2−1+411yescharacteristic
1354C22#1062345711yescharacteristic
1355C4—22no—
1356C4—22no—
1357C4—22no—
1358C4—41no—
1359C4—41no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—114no—
1370C4—114no—
1371C4—222no—
1372C4—441no—
1373C4—441no—
1374C4—441no—
1375C4—441no—
1376C4—441no—
1377C4—441no—
1378C4—441no—
1379C4—441no—
1380C4—441no—
1381C4—441no—
1382C4—441no—
1383C2—81no—
1384C2—442no—
1385C2—881no—
1386C2D11×#52911yescharacteristic
1387C2D11×#54211yescharacteristic
1388C2#1308200211yescharacteristic
1389C2#1308203111yescharacteristic
1390C2#1308203611yescharacteristic
1391C2#1308204611yescharacteristic
1392C2#1308204811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2654C2
prime radicalC2×#66937C22
hypercenter#2654D11
hypocenterC11#34619
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2654

Complements

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

NH ≅ G/Ntype
1. #13074688C2semidirect
2. #13074677C2semidirect
3. #13074675C2semidirect
4. #13074636C2semidirect
5. #13074634C2semidirect
6. #13074625C2semidirect
7. #13074623C2semidirect
8. #13074590C2semidirect
9. #13074580C2semidirect
10. #13074575C2semidirect
11. #13074551C2semidirect
12. #13074444C2semidirect
13. #13074419C2semidirect
16. #13071918C2semidirect
17. #13071915C2semidirect
18. #13071905C2semidirect
19. #13071901C2semidirect
20. #13071893C2semidirect
21. #13071885C2semidirect
22. #13071880C2semidirect
23. #13071874C2semidirect
24. #13071187C2semidirect
25. #13071157C2semidirect
26. #13071150C2semidirect
28. #13071089C2semidirect
29. #13071076C2semidirect
30. C4×#66945C2semidirect
31. C11×#2654C2semidirect
515. #2654D11semidirect
1209. C11#34619semidirect

Maximal subgroups

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

subgroupindex
#130746882
#130746772
#130746752
#130746362
#130746342
#130746252
#130746232
#130745902
#130745802
#130745752
#130745512
#130744442
#130744192
#130744092
#130743752
#130719182
#130719152
#130719052
#130719012
#130718932
#130718852
#130718802
#130718742
#130711872
#130711572
#130711502
#130711282
#130710892
#130710762
C4×#669452
C11×#26542
#3461911