Finite Group Databasebeta

← #14924738

Subgroups — #14924738

Order 2816.

2614 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623069C211yesmaximal, characteristic, complemented
2C2×C4×#4341C211yesmaximal, characteristic, complemented
3#13074313C211yesmaximal, characteristic, complemented
4#13074311C211yesmaximal, characteristic, complemented
5#13074302C211yesmaximal, characteristic, complemented
6#13074300C211yesmaximal, characteristic, complemented
7#13074252C211yesmaximal, characteristic, complemented
8#13074250C211yesmaximal, characteristic, complemented
9#13074241C211yesmaximal, characteristic, complemented
10#13074239C211yesmaximal, characteristic, complemented
11#13073800C211yesmaximal, characteristic, complemented
12#13073794C211yesmaximal, characteristic, complemented
13#13073580C211yesmaximal, characteristic, complemented
14#13073574C211yesmaximal, characteristic, complemented
15#13073058C211yesmaximal, characteristic, complemented
16#13073056C211yesmaximal, characteristic, complemented
17#13072224C211yesmaximal, characteristic, complemented
18#13072222C211yesmaximal, characteristic, complemented
19#13071910C211yesmaximal, characteristic, complemented
20#13071903C211yesmaximal, characteristic, complemented
21#13071903C211yesmaximal, characteristic, complemented
22#13071895C211yesmaximal, characteristic, complemented
23C4×#66983C211yesmaximal, characteristic, complemented
24C4×#66992C211yesmaximal, characteristic, complemented
25C4×#66992C211yesmaximal, characteristic, complemented
26#13071062C211yesmaximal, characteristic, complemented
27#13071061C211yesmaximal, characteristic, complemented
28#13071057C211yesmaximal, characteristic, complemented
29#13071055C211yesmaximal, characteristic, complemented
30C2×#10622545C211yesmaximal, characteristic, complemented
31C4×C11×#121C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C22×C42×C11C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66988C2211yescharacteristic
42C2×D4×Dic11C2211yescharacteristic
43C2×#66983C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×#66979C2211yescharacteristic
51C22×C4×Dic11C2211yescharacteristic
52C22×C4×Dic11C2211yescharacteristic
53C22×C4×Dic11C2211yescharacteristic
54#10623069—28no—
55C4×#4341—28no—
56C2×#66951C2211yescharacteristic
57C2×#66945C2211yescharacteristic
58C2×#66942C2211yescharacteristic
59C2×#66940C2211yescharacteristic
60C2×#66939C2211yescharacteristic
61C2×#66938C2211yescharacteristic
62C2×(C22⋊D11)⋊C4C2211yescharacteristic
63C2×(C22⋊D11)⋊C4C2211yescharacteristic
64C2×#66932C2211yescharacteristic
65C2×#66931C2211yescharacteristic
66C2×#66930C2211yescharacteristic
67C2×#66930C2211yescharacteristic
68C2×C4×D44C2211yescharacteristic
69C2×#66925C2211yescharacteristic
70C2×C42×D11C2211yescharacteristic
71C2×C4×Dic22C2211yescharacteristic
72C2×C4×Dic22C2211yescharacteristic
73C11×#390C2211yescharacteristic
74C11×#389C2211yescharacteristic
75C11×#388C2211yescharacteristic
76C11×#388C2211yescharacteristic
77C11×#386C2211yescharacteristic
78C11×#386C2211yescharacteristic
79C11×#380C2211yescharacteristic
80C4×C11×C4⋊C4C2211yescharacteristic
81C4×C11×C22⋊C4C2211yescharacteristic
82C4×C11×C22⋊C4C2211yescharacteristic
83#10622836C2211yescharacteristic
84#10622836C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622833C2211yescharacteristic
87#10622833C2211yescharacteristic
88#10622833C2211yescharacteristic
89#10622826C2211yescharacteristic
90#10622826C2211yescharacteristic
91#10622825C2211yescharacteristic
92C4×C22⋊Dic11C2211yescharacteristic
93C4×C22⋊Dic11C2211yescharacteristic
94C2×C11⋊#95C2211yescharacteristic
95C2×C11⋊#95C2211yescharacteristic
96C2×C11⋊#95C2211yescharacteristic
97C2×C11⋊#95C2211yescharacteristic
98#10622605C2211yescharacteristic
99#10622605C2211yescharacteristic
100#10622603C2211yescharacteristic
101#10622603C2211yescharacteristic
102#10622603C2211yescharacteristic
103#10622603C2211yescharacteristic
104#10622602C2211yescharacteristic
105#10622602C2211yescharacteristic
106#10622597C2211yescharacteristic
107#10622597C2211yescharacteristic
108#10622594C2211yescharacteristic
109#10622594C2211yescharacteristic
110#10622592C2211yescharacteristic
111#10622592C2211yescharacteristic
112#10622585C2211yescharacteristic
113#10622585C2211yescharacteristic
114#10622574C2211yescharacteristic
115#10622574C2211yescharacteristic
116#10622573C2211yescharacteristic
117#10622573C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622572C2211yescharacteristic
120#10622571C2211yescharacteristic
121#10622571C2211yescharacteristic
122#10622571C2211yescharacteristic
123#10622571C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622569C2211yescharacteristic
127#10622569C2211yescharacteristic
128#10622565C2211yescharacteristic
129#10622565C2211yescharacteristic
130#10622564C2211yescharacteristic
131#10622564C2211yescharacteristic
132#10622563C2211yescharacteristic
133#10622563C2211yescharacteristic
134#10622562C2211yescharacteristic
135#10622562C2211yescharacteristic
136#10622560C2211yescharacteristic
137#10622560C2211yescharacteristic
138#10622559C2211yescharacteristic
139#10622559C2211yescharacteristic
140#10622558C2211yescharacteristic
141#10622558C2211yescharacteristic
142#10622558C2211yescharacteristic
143#10622558C2211yescharacteristic
144#10622555C2211yescharacteristic
145#10622555C2211yescharacteristic
146#10622553C2211yescharacteristic
147#10622553C2211yescharacteristic
148#10622552C2211yescharacteristic
149C4×(C2×D11)⋊C4C2211yescharacteristic
150C4×(C2×D11)⋊C4C2211yescharacteristic
151C4×(C2×D11)⋊C4C2211yescharacteristic
152C4×(C2×D11)⋊C4C2211yescharacteristic
153C4×C4⋊Dic11C2211yescharacteristic
154#10622545C2211yescharacteristic
155#10622545C2211yescharacteristic
156#10622545C2211yescharacteristic
157#10622545C2211yescharacteristic
158#10622545C2211yescharacteristic
159#10622545C2211yescharacteristic
160#10622545C2211yescharacteristic
161#10622545C2211yescharacteristic
162C4×Dic11⋊C4C2211yescharacteristic
163C4×Dic11⋊C4C2211yescharacteristic
164#10622541C2211yescharacteristic
165#10622288C2211yescharacteristic
166#10622288C2211yescharacteristic
167#10622286C2211yescharacteristic
168#10622286C2211yescharacteristic
169#10622282C2211yescharacteristic
170#10622282C2211yescharacteristic
171#10622281C2211yescharacteristic
172#10622281C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622273C2211yescharacteristic
176#10622273C2211yescharacteristic
177#10622271C2211yescharacteristic
178#10622271C2211yescharacteristic
179#10622270C2211yescharacteristic
180#10622270C2211yescharacteristic
181#10622269C2211yescharacteristic
182#10622269C2211yescharacteristic
183#10622268C2211yescharacteristic
184#10622268C2211yescharacteristic
185#10622267C2211yescharacteristic
186#10622267C2211yescharacteristic
187#10622265C2211yescharacteristic
188#10622265C2211yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C2×#4341—24no—
210C2×#4341—24no—
211C2×#4341—24no—
212C22×D44C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×Dic22C2311yescharacteristic
218C22×Dic22C2311yescharacteristic
219C11×#121—24no—
220C4×D4×C11—24no—
221C4×D4×C11—24no—
222C4×D4×C11—24no—
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C42×C11—24no—
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257#66992—24no—
258#66992—24no—
259#66992—24no—
260#66988—24no—
261D4×Dic11—24no—
262#66983—24no—
263C4×C22⋊D11—24no—
264C4×C22⋊D11—24no—
265C4×C22⋊D11—24no—
266C4×C22⋊D11—24no—
267C4×C22⋊D11—24no—
268C4×C22⋊D11—24no—
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287#66979—24no—
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×C4×Dic11—24no—
312C2×C4×Dic11—24no—
313C2×C4×Dic11D418yescomplemented
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328#66951—24no—
329#66945—24no—
330#66942—24no—
331#66940—24no—
332#66939—24no—
333#66938—24no—
334(C22⋊D11)⋊C4—24no—
335(C22⋊D11)⋊C4—24no—
336#66932—24no—
337#66931—24no—
338#66930—24no—
339#66930—24no—
340C4×D44—24no—
341#66925—24no—
342C42×D11—24no—
343C4×Dic22—24no—
344C4×Dic22—24no—
345C11×#95C2311yescharacteristic
346C11×#95C2311yescharacteristic
347C11×#95C2311yescharacteristic
348C11×#95C2311yescharacteristic
349C11×#95C2311yescharacteristic
350C11×#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385#34876—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C23×D11C2411yescharacteristic
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—22no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—41no—
399C2×D4×C11#4114yes—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11C2×D414yes—
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11#4114yes—
445C22×Dic11—22no—
446C22×Dic11—22no—
447C22×Dic11—22no—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—22no—
451C22×Dic11—22no—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11—41no—
460C22×Dic11—41no—
461C22×Dic11C2×D414yes—
462C22×Dic11C2×D414yes—
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477#4341—232no—
478C2×D44—22no—
479C2×D44—22no—
480C2×D44—41no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—22no—
485C2×C4×D11—22no—
486C2×C4×D11—22no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—41no—
492C2×C4×D11—41no—
493C2×Dic22—22no—
494C2×Dic22—22no—
495C2×Dic22—22no—
496C2×Dic22—22no—
497C2×Dic22—41no—
498C2×Dic22—41no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—41no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—41no—
513C11×C22⋊C4—41no—
514C42×C11—22no—
515C42×C11—22no—
516C42×C11—22no—
517C42×C11—22no—
518C42×C11—22no—
519C42×C11#4114yescomplemented
520C22⋊Dic11—22no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—22no—
529C22⋊Dic11—22no—
530C22⋊Dic11—41no—
531C22⋊Dic11—41no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550C4⋊Dic11—22no—
551C4⋊Dic11—22no—
552C4⋊Dic11—22no—
553C4⋊Dic11—22no—
554C4⋊Dic11—22no—
555C4⋊Dic11—22no—
556C4⋊Dic11—41no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573C4×Dic11—22no—
574C4×Dic11—22no—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—22no—
578C4×Dic11—22no—
579C4×Dic11—22no—
580C4×Dic11—22no—
581C4×Dic11—22no—
582C4×Dic11C2×D414yes—
583C4×Dic11C2×D414yes—
584C4×Dic11C2×D414yes—
585C4×Dic11C2×D414yes—
586C4×Dic11#4114yescomplemented
587C2×#529—111no—
588C2×C4×#41—111no—
589#2611—111no—
590#2611—111no—
591#2610—111no—
592#2610—111no—
593#2604—111no—
594#2604—111no—
595#2603—111no—
596#2603—111no—
597#2564—111no—
598#2564—111no—
599#2543—111no—
600#2543—111no—
601#2498—111no—
602#2498—111no—
603#2430—111no—
604#2430—111no—
605#2399—111no—
606#2398—111no—
607#2398—111no—
608#2397—111no—
609C4×#121—111no—
610C4×#121—111no—
611C4×#121—111no—
612C4×#121D1111yescharacteristic, complemented
613#2290—111no—
614#2290—111no—
615#2290—111no—
616#2290—111no—
617C2×#376—111no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11C22×D412yes—
636C23×C11C2×#4112yes—
637C23×C11C2×#4112yes—
638C23×C11C2×#4112yes—
639C23×C11C2511yescharacteristic
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11C2×#4112yes—
654D4×C11—28no—
655D4×C11—44no—
656D4×C11—44no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—28no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—44no—
688C2×C4×C11—44no—
689C2×C4×C11—44no—
690C2×C4×C11—44no—
691C2×C4×C11C22×D412yes—
692C2×C4×C11C22×D412yes—
693C2×C4×C11C2×#4112yes—
694C2×C4×C11C2×#4112yes—
695C2×C4×C11C2×#4112yes—
696C2×C4×C11C2×#4112yes—
697C2×C4×C11C2×#4112yes—
698C22⋊D11—28no—
699C22⋊D11—28no—
700C22⋊D11—44no—
701C22⋊D11—44no—
702C22⋊D11—44no—
703C22⋊D11—44no—
704C2×Dic11—28no—
705C2×Dic11—28no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—44no—
742C2×Dic11—44no—
743C2×Dic11—44no—
744C2×Dic11—44no—
745C2×Dic11C22×D412yes—
746C2×Dic11C22×D412yes—
747C2×Dic11C22×D412yes—
748C2×Dic11C22×D412yes—
749C2×Dic11C2×#4112yes—
750C2×Dic11C2×#4112yes—
751C2×Dic11C2×#4112yes—
752D44—44no—
753C4×D11—28no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757Dic22—28no—
758Dic22—44no—
759C22×#41—111no—
760#529—228no—
761C2×#126—111no—
762C2×#126—111no—
763C2×#125—111no—
764C2×#124—111no—
765C2×#123—111no—
766C2×#123—111no—
767C2×C22⋊Q8—111no—
768C2×#121—111no—
769C2×#121—111no—
770C2×#121—111no—
771C2×#121—111no—
772C2×#121C2×D1111yescharacteristic
773C4×#41—228no—
774C2×C4×Q8—111no—
775C2×C4×Q8—111no—
776C2×C4×Q8—111no—
777C2×C4×D4—111no—
778C2×C4×D4—111no—
779C2×C4×D4—111no—
780C2×C4×D4—111no—
781C2×C4×D4—111no—
782C2×C4×D4—111no—
783C2×C4×D4—111no—
784C2×C4×D4—111no—
785C2×C4×D4—111no—
786C2×C4×D4—111no—
787C2×C4×D4C2×D1111yescharacteristic
788C2×C4×D4C2×D1111yescharacteristic
789C2×C4×D4C2×D1111yescharacteristic
790C2×#117—111no—
791C2×#117—111no—
792C2×#117—111no—
793C2×#117—111no—
794C2×#117—111no—
795C22×C42—111no—
796C22×C42—111no—
797C22×C42—111no—
798C22×C42—111no—
799C22×C42C2×D1111yescharacteristic
800#400—111no—
801#400—111no—
802#400—111no—
803#400—111no—
804#399—111no—
805#399—111no—
806#399—111no—
807#399—111no—
808#398—111no—
809#398—111no—
810#398—111no—
811#398—111no—
812#397—111no—
813#397—111no—
814#397—111no—
815#397—111no—
816#395—111no—
817#395—111no—
818#395—111no—
819#395—111no—
820#394—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#393—111no—
825#393—111no—
826#393—111no—
827#393—111no—
828#392—111no—
829#392—111no—
830#392—111no—
831#392—111no—
832#390—111no—
833#390—111no—
834#390—111no—
835#390C2×D1111yescharacteristic
836#389—111no—
837#389—111no—
838#389—111no—
839#389C2×D1111yescharacteristic
840#388—111no—
841#388—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388C2×D1111yescharacteristic
855#388C2×D1111yescharacteristic
856#387—111no—
857#387—111no—
858#387—111no—
859#387—111no—
860#387—111no—
861#387—111no—
862#387—111no—
863#387—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386—111no—
874#386—111no—
875#386—111no—
876#386—111no—
877#386—111no—
878#386C2×D1111yescharacteristic
879#386C2×D1111yescharacteristic
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#385—111no—
887#385—111no—
888#380—111no—
889#380—111no—
890#380—111no—
891#380C2×D1111yescharacteristic
892C4×C4⋊C4—111no—
893C4×C4⋊C4—111no—
894C4×C4⋊C4—111no—
895C4×C4⋊C4C2×D1111yescharacteristic
896C4×C22⋊C4—111no—
897C4×C22⋊C4—111no—
898C4×C22⋊C4—111no—
899C4×C22⋊C4—111no—
900C4×C22⋊C4—111no—
901C4×C22⋊C4—111no—
902C4×C22⋊C4C2×D1111yescharacteristic
903C4×C22⋊C4C2×D1111yescharacteristic
904#376—111no—
905#376—111no—
906#376—111no—
907#376—111no—
908#376—111no—
909#376—111no—
910#376—111no—
911#376—111no—
912C2×#95—111no—
913C2×#95—111no—
914C2×#95—111no—
915C2×#95—111no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—22no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11#52514yes—
937C22×C11C23×D411yescharacteristic
938C22×C11C22×#4111yescharacteristic
939C22×C11C22×#4111yescharacteristic
940C22×C11C22×#4111yescharacteristic
941C22×C11C22×#4111yescharacteristic
942C22×C11#58511yescharacteristic
943C22×C11#58511yescharacteristic
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C4×C11—22no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—22no—
962C4×C11—41no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11#53214yes—
970Dic11—22no—
971Dic11—22no—
972Dic11—22no—
973Dic11—22no—
974Dic11—22no—
975Dic11—22no—
976Dic11—22no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984C2×#41—224no—
985C2×#41—224no—
986C2×#41—224no—
987C22×Q8—111no—
988C22×Q8—111no—
989C22×D4—111no—
990C22×D4—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4—111no—
994C22×D4—111no—
995C22×D4—111no—
996C22×D4C22×D1111yescharacteristic
997C22×D4C22×D1111yescharacteristic
998C22×D4C22×D1111yescharacteristic
999C23×C4—111no—
1000C23×C4—111no—
1001C23×C4—111no—
1002C23×C4—111no—
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4C22×D1111yescharacteristic
1010C23×C4C22×D1111yescharacteristic
1011C23×C4C22×D1111yescharacteristic
1012C23×C4C22×D1111yescharacteristic
1013C23×C4C22×D1111yescharacteristic
1014#126—224no—
1015#126—224no—
1016#125—224no—
1017#124—224no—
1018#123—224no—
1019#123—224no—
1020C22⋊Q8—224no—
1021#121—24no—
1022#121—224no—
1023#121—224no—
1024#121—224no—
1025#121—224no—
1026C4×Q8—224no—
1027C4×Q8—224no—
1028C4×Q8—224no—
1029C4×D4—24no—
1030C4×D4—24no—
1031C4×D4—24no—
1032C4×D4—224no—
1033C4×D4—224no—
1034C4×D4—224no—
1035C4×D4—224no—
1036C4×D4—224no—
1037C4×D4—224no—
1038C4×D4—224no—
1039C4×D4—224no—
1040C4×D4—224no—
1041C4×D4—224no—
1042#117—224no—
1043#117—224no—
1044#117—224no—
1045#117—224no—
1046#117—224no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4C22×D1111yescharacteristic
1071C2×C4⋊C4C22×D1111yescharacteristic
1072C2×C4⋊C4C22×D1111yescharacteristic
1073C2×C4⋊C4C22×D1111yescharacteristic
1074C2×C4⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4C22×D1111yescharacteristic
1106C2×C22⋊C4C22×D1111yescharacteristic
1107C2×C22⋊C4C22×D1111yescharacteristic
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C42—24no—
1116C2×C42—118no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—111no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—111no—
1127C2×C42—111no—
1128C2×C42—111no—
1129C2×C42—111no—
1130C2×C42—111no—
1131C2×C42—224no—
1132C2×C42—224no—
1133C2×C42—224no—
1134C2×C42C22×D1111yescharacteristic
1135C2×C42C22×D1111yescharacteristic
1136C2×C42C22×D1111yescharacteristic
1137C2×C42C22×D1111yescharacteristic
1138C2×C42C22×D1111yescharacteristic
1139C2×C42C22×D1111yescharacteristic
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95C22×D1111yescharacteristic
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177#95C22×D1111yescharacteristic
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180C2×C11—24no—
1181C2×C11—42no—
1182C2×C11—81no—
1183C2×C11C2×#52511yescharacteristic
1184C2×C11C2×#53211yescharacteristic
1185C2×C11#344911yescharacteristic
1186C2×C11#347511yescharacteristic
1187C2×C11#347511yescharacteristic
1188C2×C11#347511yescharacteristic
1189C2×C11#347511yescharacteristic
1190D11—42no—
1191D11—81no—
1192C24—111no—
1193C24—111no—
1194C24C23×D1111yescharacteristic
1195C24C23×D1111yescharacteristic
1196C24C23×D1111yescharacteristic
1197#41—2232no—
1198C2×Q8—222no—
1199C2×Q8—222no—
1200C2×Q8—222no—
1201C2×Q8—222no—
1202C2×Q8—441no—
1203C2×Q8—441no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—114no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—222no—
1225C2×D4—222no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—441no—
1229C2×D4—441no—
1230C2×D4—441no—
1231C2×D4—441no—
1232C2×D4—441no—
1233C2×D4#433914yes—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—114no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—111no—
1253C22×C4—111no—
1254C22×C4—111no—
1255C22×C4—111no—
1256C22×C4—114no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—222no—
1280C22×C4—222no—
1281C22×C4—222no—
1282C22×C4—222no—
1283C22×C4—222no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4D4×D1114yes—
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—41no—
1310C4⋊C4—222no—
1311C4⋊C4—222no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—222no—
1324C4⋊C4—222no—
1325C4⋊C4—222no—
1326C4⋊C4—222no—
1327C4⋊C4—222no—
1328C4⋊C4—222no—
1329C4⋊C4—222no—
1330C4⋊C4—441no—
1331C4⋊C4—441no—
1332C4⋊C4—441no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—222no—
1353C22⋊C4—222no—
1354C22⋊C4—222no—
1355C22⋊C4—222no—
1356C22⋊C4—222no—
1357C22⋊C4—222no—
1358C22⋊C4—222no—
1359C22⋊C4—222no—
1360C22⋊C4—222no—
1361C22⋊C4—222no—
1362C22⋊C4—222no—
1363C22⋊C4—222no—
1364C22⋊C4—222no—
1365C22⋊C4—222no—
1366C22⋊C4—222no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—114no—
1379C42—114no—
1380C42—114no—
1381C42—114no—
1382C42—114no—
1383C42—222no—
1384C42—222no—
1385C42—222no—
1386C42—222no—
1387C42—222no—
1388C42—222no—
1389C42—222no—
1390C42—222no—
1391C42—222no—
1392C42#434114yescomplemented
1393C11#3487611yescharacteristic, complemented, Sylow
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—112no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23C2×#433912yes—
1426C23C2×#433912yes—
1427C23C2×D4×D1112yes—
1428C23#41×D1112yes—
1429C23C24×D1111yescharacteristic
1430Q8—228no—
1431Q8—444no—
1432D4—28no—
1433D4—44no—
1434D4—44no—
1435D4—228no—
1436D4—228no—
1437D4—444no—
1438D4—444no—
1439D4—444no—
1440D4—444no—
1441D4—444no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—28no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—44no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—112no—
1477C2×C4—112no—
1478C2×C4—112no—
1479C2×C4—112no—
1480C2×C4—112no—
1481C2×C4—112no—
1482C2×C4—112no—
1483C2×C4—228no—
1484C2×C4—228no—
1485C2×C4—228no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—444no—
1522C2×C4—444no—
1523C2×C4—444no—
1524C2×C4—444no—
1525C2×C4—444no—
1526C2×C4—444no—
1527C2×C4—444no—
1528C2×C4C2×#433912yes—
1529C2×C4C2×D4×D1112yes—
1530C2×C4C2×D4×D1112yes—
1531C2×C4C2×#434112yes—
1532C2×C4C2×#434112yes—
1533C2×C4C2×#434112yes—
1534C2×C4#41×D1112yes—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—222no—
1556C22—222no—
1557C22—222no—
1558C22—441no—
1559C22—441no—
1560C22—441no—
1561C22—441no—
1562C22—441no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22#1062307814yes—
1570C22C22×#433911yescharacteristic
1571C22C22×D4×D1111yescharacteristic
1572C22C22×#434111yescharacteristic
1573C22C2×#41×D1111yescharacteristic
1574C22C2×#41×D1111yescharacteristic
1575C22#1062345311yescharacteristic
1576C22#1062345311yescharacteristic
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—222no—
1589C4—222no—
1590C4—222no—
1591C4—222no—
1592C4—222no—
1593C4—222no—
1594C4—222no—
1595C4—441no—
1596C4—441no—
1597C4—441no—
1598C4—441no—
1599C4—441no—
1600C4—441no—
1601C4—441no—
1602C4#1062312714yes—
1603C2—24no—
1604C2—42no—
1605C2—81no—
1606C2—442no—
1607C2—881no—
1608C2C2×#1062307811yescharacteristic
1609C2C2×#1062312711yescharacteristic
1610C2#1308194311yescharacteristic
1611C2#1308216811yescharacteristic
1612C2#1308217411yescharacteristic
1613C2#1308217611yescharacteristic
1614C2#1308217811yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×#121C2
hypercenterC4×#121D11
hypocenterC11#34876
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#10623069C2semidirect
2. C2×C4×#4341C2semidirect
3. #13074313C2semidirect
4. #13074311C2semidirect
5. #13074302C2semidirect
6. #13074300C2semidirect
7. #13074252C2semidirect
8. #13074250C2semidirect
9. #13074241C2semidirect
10. #13074239C2semidirect
11. #13073800C2semidirect
12. #13073794C2semidirect
13. #13073580C2semidirect
14. #13073574C2semidirect
15. #13073058C2semidirect
16. #13073056C2semidirect
17. #13072224C2semidirect
18. #13072222C2semidirect
19. #13071910C2semidirect
20. #13071903C2semidirect
21. #13071903C2semidirect
22. #13071895C2semidirect
23. C4×#66983C2semidirect
24. C4×#66992C2semidirect
25. C4×#66992C2semidirect
26. #13071062C2semidirect
27. #13071061C2semidirect
28. #13071057C2semidirect
29. #13071055C2semidirect
30. C2×#10622545C2semidirect
31. C4×C11×#121C2semidirect
313. C2×C4×Dic11D4semidirect
519. C42×C11#41semidirect
586. C4×Dic11#41semidirect
612. C4×#121D11semidirect
1392. C42#4341semidirect
1393. C11#34876semidirect

Maximal subgroups

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

subgroupindex
C2×#106230692
C2×C4×#43412
#130743132
#130743112
#130743022
#130743002
#130742522
#130742502
#130742412
#130742392
#130738002
#130737942
#130735802
#130735742
#130730582
#130730562
#130722242
#130722222
#130719102
#130719032
#130718952
C4×#669832
C4×#669922
#130710622
#130710612
#130710572
#130710552
C2×#106225452
C4×C11×#1212
#3487611