Finite Group Databasebeta

← #14920679

Subgroups — #14920679

Order 2816.

1940 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074814C211yesmaximal, characteristic, complemented
2#13074813C211yesmaximal, characteristic, complemented
3#13074746C211yesmaximal, characteristic, complemented
4#13074745C211yesmaximal, characteristic, complemented
5#13074700C211yesmaximal, characteristic, complemented
6#13074692C211yesmaximal, characteristic, complemented
7#13074653C211yesmaximal, characteristic, complemented
8#13074647C211yesmaximal, characteristic, complemented
9#13074619C211yesmaximal, characteristic, complemented
10#13074615C211yesmaximal, characteristic, complemented
11#13074606C211yesmaximal, characteristic, complemented
12#13074600C211yesmaximal, characteristic, complemented
13#13074504C211yesmaximal, characteristic, complemented
14#13074501C211yesmaximal, characteristic, complemented
15#13074459C211yesmaximal, characteristic, complemented
16#13074457C211yesmaximal, characteristic, complemented
17#13071923C211yesmaximal, characteristic, complemented
18#13071895C211yesmaximal, characteristic, complemented
19#13071879C211yesmaximal, characteristic, complemented
20#13071875C211yesmaximal, characteristic, complemented
21#13071858C211yesmaximal, characteristic, complemented
22#13071858C211yesmaximal, characteristic, complemented
23#13071858C211yesmaximal, characteristic, complemented
24#13071854C211yesmaximal, characteristic, complemented
25C4×#66982C211yesmaximal, characteristic, complemented
26C4×#66936C211yesmaximal, characteristic, complemented
27C4×#66937C211yesmaximal, characteristic, complemented
28#13071112C211yesmaximal, characteristic, complemented
29#13071079C211yesmaximal, characteristic, complemented
30C42×C22⋊D11C211yesmaximal, characteristic, complemented
31C4×C11×#121C211yesmaximal, characteristic, complemented
32C2×C11×#121C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C22×C42×C11C2211yescharacteristic
37C2×#66982C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×#66979C2211yescharacteristic
47C2×#66979C2211yescharacteristic
48C2×#66937C2211yescharacteristic
49C2×#66936C2211yescharacteristic
50C2×C4×D44C2211yescharacteristic
51C2×#66925C2211yescharacteristic
52C2×C42×D11C2211yescharacteristic
53C11×#390C2211yescharacteristic
54C11×#389C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#386C2211yescharacteristic
58C11×#386C2211yescharacteristic
59C11×#380C2211yescharacteristic
60C4×C11×C4⋊C4C2211yescharacteristic
61C4×C11×C22⋊C4C2211yescharacteristic
62C4×C11×C22⋊C4C2211yescharacteristic
63#10622836C2211yescharacteristic
64#10622836C2211yescharacteristic
65#10622836C2211yescharacteristic
66#10622836C2211yescharacteristic
67#10622836C2211yescharacteristic
68#10622836C2211yescharacteristic
69#10622835C2211yescharacteristic
70#10622835C2211yescharacteristic
71#10622835C2211yescharacteristic
72#10622835C2211yescharacteristic
73#10622835C2211yescharacteristic
74#10622835C2211yescharacteristic
75#10622826C2211yescharacteristic
76#10622824C2211yescharacteristic
77#10622823C2211yescharacteristic
78C4×C22⋊Dic11C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C4×C22⋊Dic11C2211yescharacteristic
82C4×C22⋊Dic11C2211yescharacteristic
83C4×C22⋊Dic11C2211yescharacteristic
84#10622607C2211yescharacteristic
85#10622607C2211yescharacteristic
86#10622607C2211yescharacteristic
87#10622606C2211yescharacteristic
88#10622606C2211yescharacteristic
89#10622605C2211yescharacteristic
90#10622605C2211yescharacteristic
91#10622605C2211yescharacteristic
92#10622604C2211yescharacteristic
93#10622599C2211yescharacteristic
94#10622597C2211yescharacteristic
95#10622597C2211yescharacteristic
96#10622597C2211yescharacteristic
97#10622597C2211yescharacteristic
98#10622597C2211yescharacteristic
99#10622596C2211yescharacteristic
100#10622596C2211yescharacteristic
101#10622595C2211yescharacteristic
102#10622593C2211yescharacteristic
103#10622593C2211yescharacteristic
104#10622574C2211yescharacteristic
105#10622574C2211yescharacteristic
106#10622574C2211yescharacteristic
107#10622574C2211yescharacteristic
108#10622574C2211yescharacteristic
109#10622573C2211yescharacteristic
110#10622573C2211yescharacteristic
111#10622572C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic
114#10622570C2211yescharacteristic
115#10622570C2211yescharacteristic
116#10622570C2211yescharacteristic
117#10622569C2211yescharacteristic
118#10622569C2211yescharacteristic
119#10622566C2211yescharacteristic
120#10622565C2211yescharacteristic
121#10622565C2211yescharacteristic
122#10622565C2211yescharacteristic
123#10622565C2211yescharacteristic
124#10622565C2211yescharacteristic
125#10622564C2211yescharacteristic
126#10622564C2211yescharacteristic
127#10622562C2211yescharacteristic
128#10622562C2211yescharacteristic
129#10622562C2211yescharacteristic
130#10622561C2211yescharacteristic
131#10622561C2211yescharacteristic
132#10622561C2211yescharacteristic
133#10622561C2211yescharacteristic
134#10622561C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622558C2211yescharacteristic
137#10622558C2211yescharacteristic
138#10622557C2211yescharacteristic
139#10622557C2211yescharacteristic
140#10622557C2211yescharacteristic
141#10622557C2211yescharacteristic
142#10622553C2211yescharacteristic
143#10622553C2211yescharacteristic
144C4×(C2×D11)⋊C4C2211yescharacteristic
145C4×(C2×D11)⋊C4C2211yescharacteristic
146C4×(C2×D11)⋊C4C2211yescharacteristic
147C4×(C2×D11)⋊C4C2211yescharacteristic
148C4×(C2×D11)⋊C4C2211yescharacteristic
149C4×(C2×D11)⋊C4C2211yescharacteristic
150C4×C4⋊Dic11C2211yescharacteristic
151#10622546C2211yescharacteristic
152#10622546C2211yescharacteristic
153#10622545C2211yescharacteristic
154C4×Dic11⋊C4C2211yescharacteristic
155C4×Dic11⋊C4C2211yescharacteristic
156C4×Dic11⋊C4C2211yescharacteristic
157C4×Dic11⋊C4C2211yescharacteristic
158C4×Dic11⋊C4C2211yescharacteristic
159C4×Dic11⋊C4C2211yescharacteristic
160C4×Dic11⋊C4C2211yescharacteristic
161C4×Dic11⋊C4C2211yescharacteristic
162C42×Dic11C2211yescharacteristic
163#10622288C2211yescharacteristic
164#10622288C2211yescharacteristic
165#10622285C2211yescharacteristic
166#10622283C2211yescharacteristic
167#10622283C2211yescharacteristic
168#10622282C2211yescharacteristic
169#10622281C2211yescharacteristic
170#10622280C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622277C2211yescharacteristic
173#10622273C2211yescharacteristic
174#10622272C2211yescharacteristic
175#10622271C2211yescharacteristic
176#10622271C2211yescharacteristic
177#10622270C2211yescharacteristic
178#10622267C2211yescharacteristic
179#10622267C2211yescharacteristic
180#10622267C2211yescharacteristic
181#10622266C2211yescharacteristic
182#10622266C2211yescharacteristic
183#10622265C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187C22×D4×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×D44C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C11×#121—24no—
207C4×D4×C11—42no—
208C4×D4×C11—42no—
209C4×D4×C11—42no—
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C42×C11—42no—
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
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#66982—24no—
251C4×C22⋊D11—24no—
252C4×C22⋊D11—24no—
253C4×C22⋊D11—24no—
254C4×C22⋊D11—24no—
255C4×C22⋊D11—42no—
256C4×C22⋊D11—42no—
257C4×C22⋊D11—42no—
258C4×C22⋊D11—42no—
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
277#66979—24no—
278#66979—42no—
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318#66937—24no—
319#66936—24no—
320C4×D44—42no—
321#66925—42no—
322C42×D11—42no—
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#34597—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C24×C11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C2×D4×C11—22no—
370C2×D4×C11—22no—
371C2×D4×C11—22no—
372C2×D4×C11—41no—
373C2×D4×C11—41no—
374C2×D4×C11—41no—
375C2×D4×C11—41no—
376C2×D4×C11—41no—
377C2×D4×C11—41no—
378C22×C4×C11—22no—
379C22×C4×C11—22no—
380C22×C4×C11—22no—
381C22×C4×C11—22no—
382C22×C4×C11—22no—
383C22×C4×C11—22no—
384C22×C4×C11—22no—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11#4114yes—
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C2×C22⋊D11—22no—
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C2×D44—22no—
438C2×D44—41no—
439C2×D44—41no—
440C2×C4×D11—22no—
441C2×C4×D11—22no—
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—41no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11#4114yes—
452C11×C4⋊C4—22no—
453C11×C4⋊C4—41no—
454C11×C4⋊C4—41no—
455C11×C4⋊C4—41no—
456C11×C4⋊C4—41no—
457C11×C22⋊C4—22no—
458C11×C22⋊C4—22no—
459C11×C22⋊C4—22no—
460C11×C22⋊C4—22no—
461C11×C22⋊C4—41no—
462C11×C22⋊C4—41no—
463C11×C22⋊C4—41no—
464C11×C22⋊C4—41no—
465C11×C22⋊C4—41no—
466C11×C22⋊C4—41no—
467C42×C11—22no—
468C42×C11—22no—
469C42×C11—22no—
470C42×C11—22no—
471C42×C11—41no—
472C42×C11—41no—
473C22⋊Dic11—22no—
474C22⋊Dic11—22no—
475C22⋊Dic11—22no—
476C22⋊Dic11—22no—
477C22⋊Dic11—22no—
478C22⋊Dic11—22no—
479C22⋊Dic11—22no—
480C22⋊Dic11—22no—
481C22⋊Dic11—41no—
482C22⋊Dic11—41no—
483C22⋊Dic11—41no—
484C22⋊Dic11—41no—
485C22⋊Dic11—41no—
486C22⋊Dic11—41no—
487C22⋊Dic11—41no—
488C22⋊Dic11—41no—
489C22⋊Dic11—41no—
490C22⋊Dic11—41no—
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—41no—
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—
509C4⋊Dic11—22no—
510C4⋊Dic11—22no—
511C4⋊Dic11—22no—
512C4⋊Dic11—41no—
513C4⋊Dic11—41no—
514C4⋊Dic11—41no—
515C4⋊Dic11—41no—
516Dic11⋊C4—22no—
517Dic11⋊C4—22no—
518Dic11⋊C4—22no—
519Dic11⋊C4—22no—
520Dic11⋊C4—22no—
521Dic11⋊C4—22no—
522Dic11⋊C4—22no—
523Dic11⋊C4—22no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536C4×Dic11—22no—
537C4×Dic11—22no—
538C4×Dic11—22no—
539C4×Dic11—22no—
540C4×Dic11—22no—
541C4×Dic11—22no—
542C4×Dic11—22no—
543C4×Dic11—41no—
544C4×Dic11—41no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11#4114yes—
548#2667—111no—
549#2667—111no—
550#2661—111no—
551#2661—111no—
552#2654—111no—
553#2654—111no—
554#2651—111no—
555#2651—111no—
556#2649—111no—
557#2649—111no—
558#2648—111no—
559#2648—111no—
560#2635—111no—
561#2635—111no—
562#2630—111no—
563#2630—111no—
564#2402—111no—
565#2397—111no—
566#2395—111no—
567#2395—111no—
568#2392—111no—
569#2392—111no—
570#2392—111no—
571#2392—111no—
572C4×#123—111no—
573C4×#123—111no—
574C4×#121—111no—
575C4×#121D1111yescharacteristic, complemented
576#2298—111no—
577#2293—111no—
578C42×D4—111no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11C2×#4112yes—
600C23×C11C2511yescharacteristic
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C22×D11—21no—
607C22×D11—21no—
608C22×D11—21no—
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11C2×#4112yes—
615D4×C11—44no—
616D4×C11—44no—
617D4×C11—44no—
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—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—44no—
649C2×C4×C11—44no—
650C2×C4×C11—44no—
651C2×C4×C11—44no—
652C2×C4×C11—44no—
653C2×C4×C11C2×#4112yes—
654C2×C4×C11C2×#4112yes—
655C2×C4×C11C2×#4112yes—
656C2×C4×C11C2×#4112yes—
657C2×C4×C11H(5,𝔽2)12yes—
658C2×C4×C11H(5,𝔽2)12yes—
659C22⋊D11—28no—
660C22⋊D11—44no—
661C22⋊D11—44no—
662C22⋊D11—44no—
663C22⋊D11—44no—
664C22⋊D11—44no—
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×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11C2×#4112yes—
705C2×Dic11C2×#4112yes—
706C2×Dic11C2×#4112yes—
707D44—44no—
708C4×D11—44no—
709C4×D11—44no—
710C4×D11—44no—
711C4×D11—44no—
712C2×#123—111no—
713C2×#123—111no—
714C2×#121—111no—
715C2×#121C2×D1111yescharacteristic
716C2×C4×D4—111no—
717C2×C4×D4—111no—
718C2×C4×D4—111no—
719C2×C4×D4—111no—
720C2×C4×D4—111no—
721C2×C4×D4—111no—
722C2×C4×D4—111no—
723C2×C4×D4—111no—
724C2×C4×D4—111no—
725C2×C4×D4C2×D1111yescharacteristic
726C2×C4×D4C2×D1111yescharacteristic
727C2×C4×D4C2×D1111yescharacteristic
728C2×#117—111no—
729C2×#117—111no—
730C2×#117—111no—
731C22×C42—111no—
732C22×C42C2×D1111yescharacteristic
733#400—111no—
734#400—111no—
735#400—111no—
736#400—111no—
737#400—111no—
738#400—111no—
739#399—111no—
740#399—111no—
741#399—111no—
742#399—111no—
743#399—111no—
744#399—111no—
745#398—111no—
746#398—111no—
747#398—111no—
748#398—111no—
749#398—111no—
750#398—111no—
751#398—111no—
752#398—111no—
753#398—111no—
754#398—111no—
755#397—111no—
756#397—111no—
757#397—111no—
758#397—111no—
759#397—111no—
760#397—111no—
761#397—111no—
762#397—111no—
763#397—111no—
764#397—111no—
765#396—111no—
766#396—111no—
767#396—111no—
768#396—111no—
769#396—111no—
770#396—111no—
771#396—111no—
772#396—111no—
773#394—111no—
774#394—111no—
775#394—111no—
776#394—111no—
777#394—111no—
778#394—111no—
779#394—111no—
780#394—111no—
781#394—111no—
782#394—111no—
783#394—111no—
784#394—111no—
785#394—111no—
786#394—111no—
787#394—111no—
788#394—111no—
789#392—111no—
790#392—111no—
791#392—111no—
792#392—111no—
793#392—111no—
794#392—111no—
795#392—111no—
796#392—111no—
797#390—111no—
798#390—111no—
799#390—111no—
800#390C2×D1111yescharacteristic
801#389—111no—
802#389—111no—
803#389—111no—
804#389C2×D1111yescharacteristic
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388C2×D1111yescharacteristic
820#388C2×D1111yescharacteristic
821#387—111no—
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386C2×D1111yescharacteristic
834#386C2×D1111yescharacteristic
835#385—111no—
836#385—111no—
837#381—111no—
838#381—111no—
839#380—111no—
840#380C2×D1111yescharacteristic
841C4×C4⋊C4—111no—
842C4×C4⋊C4—111no—
843C4×C4⋊C4—111no—
844C4×C4⋊C4—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4—111no—
847C4×C4⋊C4—111no—
848C4×C4⋊C4—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4C2×D1111yescharacteristic
851C4×C22⋊C4—111no—
852C4×C22⋊C4—111no—
853C4×C22⋊C4—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4—111no—
856C4×C22⋊C4—111no—
857C4×C22⋊C4—111no—
858C4×C22⋊C4—111no—
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4C2×D1111yescharacteristic
864C4×C22⋊C4C2×D1111yescharacteristic
865#376—111no—
866C43—111no—
867C22×C11—22no—
868C22×C11—22no—
869C22×C11—22no—
870C22×C11—41no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11—41no—
874C22×C11—41no—
875C22×C11—41no—
876C22×C11—41no—
877C22×C11—41no—
878C22×C11—41no—
879C22×C11—41no—
880C22×C11—41no—
881C22×C11—41no—
882C22×C11—41no—
883C22×C11—41no—
884C22×C11—41no—
885C22×C11—41no—
886C22×C11—41no—
887C22×C11—41no—
888C22×C11C22×#4111yescharacteristic
889C22×C11C22×#4111yescharacteristic
890C22×C11C22×#4111yescharacteristic
891C22×C11C2×H(5,𝔽2)11yescharacteristic
892C22×C11C2×H(5,𝔽2)11yescharacteristic
893C22×C11#58511yescharacteristic
894C22×C11#58511yescharacteristic
895C2×D11—22no—
896C2×D11—22no—
897C2×D11—22no—
898C2×D11—41no—
899C2×D11—41no—
900C2×D11—41no—
901C2×D11—41no—
902C2×D11—41no—
903C2×D11—41no—
904C2×D11—41no—
905C2×D11—41no—
906C2×D11—41no—
907C2×D11—41no—
908C2×D11—41no—
909C4×C11—22no—
910C4×C11—22no—
911C4×C11—22no—
912C4×C11—41no—
913C4×C11—41no—
914C4×C11—41no—
915C4×C11—41no—
916C4×C11—41no—
917C4×C11—41no—
918C4×C11—41no—
919C4×C11—41no—
920C4×C11#54014yes—
921Dic11—22no—
922Dic11—22no—
923Dic11—22no—
924Dic11—41no—
925Dic11—41no—
926Dic11—41no—
927Dic11—41no—
928Dic11—41no—
929Dic11—41no—
930Dic11—41no—
931Dic11—41no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935C22×D4—111no—
936C22×D4—111no—
937C22×D4—111no—
938C22×D4—111no—
939C22×D4—111no—
940C22×D4—111no—
941C22×D4—111no—
942C22×D4C22×D1111yescharacteristic
943C22×D4C22×D1111yescharacteristic
944C22×D4C22×D1111yescharacteristic
945C23×C4—111no—
946C23×C4—111no—
947C23×C4—111no—
948C23×C4—111no—
949C23×C4C22×D1111yescharacteristic
950C23×C4C22×D1111yescharacteristic
951C23×C4C22×D1111yescharacteristic
952C23×C4C22×D1111yescharacteristic
953C23×C4C22×D1111yescharacteristic
954#123—224no—
955#123—224no—
956#121—24no—
957#121—224no—
958C4×D4—42no—
959C4×D4—42no—
960C4×D4—42no—
961C4×D4—224no—
962C4×D4—224no—
963C4×D4—224no—
964C4×D4—224no—
965C4×D4—442no—
966C4×D4—442no—
967C4×D4—442no—
968C4×D4—442no—
969C4×D4—442no—
970#117—224no—
971#117—442no—
972#117—442no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4C22×D1111yescharacteristic
1001C2×C4⋊C4C22×D1111yescharacteristic
1002C2×C4⋊C4C22×D1111yescharacteristic
1003C2×C4⋊C4C22×D1111yescharacteristic
1004C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4C22×D1111yescharacteristic
1042C2×C22⋊C4C22×D1111yescharacteristic
1043C2×C22⋊C4C22×D1111yescharacteristic
1044C2×C22⋊C4C22×D1111yescharacteristic
1045C2×C22⋊C4C22×D1111yescharacteristic
1046C2×C22⋊C4C22×D1111yescharacteristic
1047C2×C22⋊C4C22×D1111yescharacteristic
1048C2×C22⋊C4C22×D1111yescharacteristic
1049C2×C22⋊C4C22×D1111yescharacteristic
1050C2×C22⋊C4C22×D1111yescharacteristic
1051C2×C42—42no—
1052C2×C42—111no—
1053C2×C42—111no—
1054C2×C42—111no—
1055C2×C42—111no—
1056C2×C42—111no—
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—111no—
1063C2×C42—111no—
1064C2×C42—442no—
1065C2×C42C22×D1111yescharacteristic
1066C2×C42C22×D1111yescharacteristic
1067C2×C42C22×D1111yescharacteristic
1068C2×C42C22×D1111yescharacteristic
1069C2×C42C22×D1111yescharacteristic
1070C2×C42C22×D1111yescharacteristic
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#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95C22×D1111yescharacteristic
1106#95C22×D1111yescharacteristic
1107#95C22×D1111yescharacteristic
1108#95C22×D1111yescharacteristic
1109#95C22×D1111yescharacteristic
1110#95C22×D1111yescharacteristic
1111C2×C11—42no—
1112C2×C11—81no—
1113C2×C11—81no—
1114C2×C11#344411yescharacteristic
1115C2×C11C2×#54011yescharacteristic
1116C2×C11#345511yescharacteristic
1117C2×C11#345911yescharacteristic
1118C2×C11#345911yescharacteristic
1119C2×C11#346011yescharacteristic
1120C2×C11#346011yescharacteristic
1121D11—42no—
1122D11—81no—
1123C24—111no—
1124C24—111no—
1125C24C23×D1111yescharacteristic
1126C24C23×D1111yescharacteristic
1127C24C23×D1111yescharacteristic
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—222no—
1138C2×D4—222no—
1139C2×D4—222no—
1140C2×D4—222no—
1141C2×D4—222no—
1142C2×D4—222no—
1143C2×D4—222no—
1144C2×D4—222no—
1145C2×D4—222no—
1146C2×D4—441no—
1147C2×D4—441no—
1148C2×D4—441no—
1149C2×D4—441no—
1150C2×D4—441no—
1151C2×D4—441no—
1152C2×D4—441no—
1153C2×D4—441no—
1154C2×D4—441no—
1155C2×D4—441no—
1156C2×D4—441no—
1157C2×D4—441no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—111no—
1173C22×C4—111no—
1174C22×C4—111no—
1175C22×C4—114no—
1176C22×C4—111no—
1177C22×C4—111no—
1178C22×C4—111no—
1179C22×C4—111no—
1180C22×C4—111no—
1181C22×C4—111no—
1182C22×C4—111no—
1183C22×C4—111no—
1184C22×C4—111no—
1185C22×C4—111no—
1186C22×C4—111no—
1187C22×C4—222no—
1188C22×C4—222no—
1189C22×C4—222no—
1190C22×C4—222no—
1191C22×C4—222no—
1192C22×C4—222no—
1193C22×C4—222no—
1194C22×C4—441no—
1195C22×C4—441no—
1196C22×C4—441no—
1197C22×C4—441no—
1198C22×C4#433914yes—
1199C22×C4C23×D1111yescharacteristic
1200C22×C4C23×D1111yescharacteristic
1201C22×C4C23×D1111yescharacteristic
1202C22×C4C23×D1111yescharacteristic
1203C22×C4C23×D1111yescharacteristic
1204C22×C4C23×D1111yescharacteristic
1205C22×C4C23×D1111yescharacteristic
1206C22×C4C23×D1111yescharacteristic
1207C22×C4C23×D1111yescharacteristic
1208C22×C4C23×D1111yescharacteristic
1209C22×C4C23×D1111yescharacteristic
1210C22×C4C23×D1111yescharacteristic
1211C4⋊C4—22no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—222no—
1217C4⋊C4—222no—
1218C4⋊C4—222no—
1219C4⋊C4—222no—
1220C4⋊C4—222no—
1221C4⋊C4—222no—
1222C4⋊C4—222no—
1223C4⋊C4—222no—
1224C4⋊C4—222no—
1225C4⋊C4—222no—
1226C4⋊C4—222no—
1227C4⋊C4—441no—
1228C4⋊C4—441no—
1229C4⋊C4—441no—
1230C4⋊C4—441no—
1231C4⋊C4—441no—
1232C4⋊C4—441no—
1233C4⋊C4—441no—
1234C4⋊C4—441no—
1235C4⋊C4—441no—
1236C4⋊C4—441no—
1237C4⋊C4—441no—
1238C4⋊C4—441no—
1239C4⋊C4—441no—
1240C4⋊C4—441no—
1241C4⋊C4—441no—
1242C4⋊C4—441no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—222no—
1254C22⋊C4—222no—
1255C22⋊C4—222no—
1256C22⋊C4—222no—
1257C22⋊C4—222no—
1258C22⋊C4—222no—
1259C22⋊C4—222no—
1260C22⋊C4—222no—
1261C22⋊C4—222no—
1262C22⋊C4—222no—
1263C22⋊C4—222no—
1264C22⋊C4—222no—
1265C22⋊C4—222no—
1266C22⋊C4—222no—
1267C22⋊C4—222no—
1268C22⋊C4—222no—
1269C22⋊C4—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—441no—
1282C22⋊C4—441no—
1283C22⋊C4—441no—
1284C22⋊C4—441no—
1285C22⋊C4—441no—
1286C22⋊C4—441no—
1287C22⋊C4—441no—
1288C22⋊C4—441no—
1289C42—22no—
1290C42—22no—
1291C42—22no—
1292C42—22no—
1293C42—41no—
1294C42—41no—
1295C42—114no—
1296C42—222no—
1297C42—222no—
1298C42—222no—
1299C42—222no—
1300C42—222no—
1301C42—222no—
1302C42—222no—
1303C42—441no—
1304C42—441no—
1305C42—441no—
1306C42—441no—
1307C11#3459711yescharacteristic, complemented, Sylow
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—112no—
1329C23—221no—
1330C23—221no—
1331C23—221no—
1332C23—221no—
1333C23—221no—
1334C23—221no—
1335C23—221no—
1336C23—221no—
1337C23—221no—
1338C23—221no—
1339C23—221no—
1340C23—221no—
1341C23—221no—
1342C23C2×#433912yes—
1343C23C24×D1111yescharacteristic
1344D4—44no—
1345D4—44no—
1346D4—44no—
1347D4—228no—
1348D4—444no—
1349D4—444no—
1350D4—444no—
1351D4—444no—
1352D4—444no—
1353D4—444no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—44no—
1385C2×C4—44no—
1386C2×C4—44no—
1387C2×C4—44no—
1388C2×C4—44no—
1389C2×C4—112no—
1390C2×C4—112no—
1391C2×C4—112no—
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—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—444no—
1432C2×C4—444no—
1433C2×C4—444no—
1434C2×C4—444no—
1435C2×C4C2×#433912yes—
1436C2×C4C2×#433912yes—
1437C2×C4#6703712yes—
1438C2×C4#6703712yes—
1439C2×C4#41×D1112yes—
1440C2×C4#41×D1112yes—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—222no—
1463C22—222no—
1464C22—222no—
1465C22—441no—
1466C22—441no—
1467C22—441no—
1468C22—441no—
1469C22—441no—
1470C22—441no—
1471C22—441no—
1472C22—441no—
1473C22—441no—
1474C22—441no—
1475C22—441no—
1476C22C22×#433911yescharacteristic
1477C22C2×#6703711yescharacteristic
1478C22C2×#6703711yescharacteristic
1479C22C2×#41×D1111yescharacteristic
1480C22C2×#41×D1111yescharacteristic
1481C22#1062345311yescharacteristic
1482C22#1062345311yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—222no—
1495C4—222no—
1496C4—222no—
1497C4—441no—
1498C4—441no—
1499C4—441no—
1500C4—441no—
1501C4—441no—
1502C4—441no—
1503C4—441no—
1504C4—441no—
1505C4—441no—
1506C4—441no—
1507C4—441no—
1508C4#1062314614yes—
1509C2—42no—
1510C2—81no—
1511C2—81no—
1512C2—442no—
1513C2—881no—
1514C2#1308190911yescharacteristic
1515C2C2×#1062314611yescharacteristic
1516C2#1308199911yescharacteristic
1517C2#1308202311yescharacteristic
1518C2#1308202511yescharacteristic
1519C2#1308203011yescharacteristic
1520C2#1308203811yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×#121C2
hypercenterC4×#121D11
hypocenterC11#34597
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. #13074814C2semidirect
2. #13074813C2semidirect
3. #13074746C2semidirect
4. #13074745C2semidirect
5. #13074700C2semidirect
6. #13074692C2semidirect
7. #13074653C2semidirect
8. #13074647C2semidirect
9. #13074619C2semidirect
10. #13074615C2semidirect
11. #13074606C2semidirect
12. #13074600C2semidirect
13. #13074504C2semidirect
14. #13074501C2semidirect
15. #13074459C2semidirect
16. #13074457C2semidirect
17. #13071923C2semidirect
18. #13071895C2semidirect
19. #13071879C2semidirect
20. #13071875C2semidirect
21. #13071858C2semidirect
22. #13071858C2semidirect
23. #13071858C2semidirect
24. #13071854C2semidirect
25. C4×#66982C2semidirect
26. C4×#66936C2semidirect
27. C4×#66937C2semidirect
28. #13071112C2semidirect
29. #13071079C2semidirect
30. C42×C22⋊D11C2semidirect
31. C4×C11×#121C2semidirect
575. C4×#121D11semidirect
1307. C11#34597semidirect

Maximal subgroups

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

subgroupindex
#130748142
#130748132
#130747462
#130747452
#130747002
#130746922
#130746532
#130746472
#130746192
#130746152
#130746062
#130746002
#130745042
#130745012
#130744592
#130744572
#130719232
#130718952
#130718792
#130718752
#130718582
#130718542
C4×#669822
C4×#669362
C4×#669372
#130711122
#130710792
C42×C22⋊D112
C4×C11×#1212
#3459711