Finite Group Databasebeta

← #14926023

Subgroups — #14926023

Order 2816.

2198 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074109C211yesmaximal, characteristic, complemented
2#13074025C211yesmaximal, characteristic, complemented
3#13073897C211yesmaximal, characteristic, complemented
4#13073886C211yesmaximal, characteristic, complemented
5#13073863C211yesmaximal, characteristic, complemented
6#13073687C211yesmaximal, characteristic, complemented
7#13073682C211yesmaximal, characteristic, complemented
8#13073673C211yesmaximal, characteristic, complemented
9#13073281C211yesmaximal, characteristic, complemented
10#13073270C211yesmaximal, characteristic, complemented
11#13072671C211yesmaximal, characteristic, complemented
12#13072666C211yesmaximal, characteristic, complemented
13#13072560C211yesmaximal, characteristic, complemented
14#13072549C211yesmaximal, characteristic, complemented
15#13072514C211yesmaximal, characteristic, complemented
16#13072505C211yesmaximal, characteristic, complemented
17#13071886C211yesmaximal, characteristic, complemented
18#13071860C211yesmaximal, characteristic, complemented
19#13071832C211yesmaximal, characteristic, complemented
20#13071831C211yesmaximal, characteristic, complemented
21C4×#66929C211yesmaximal, characteristic, complemented
22C4×#66932C211yesmaximal, characteristic, complemented
23C4×#67000C211yesmaximal, characteristic, complemented
24C4×#66939C211yesmaximal, characteristic, complemented
25C4×#66936C211yesmaximal, characteristic, complemented
26C4×#66937C211yesmaximal, characteristic, complemented
27C4×#66992C211yesmaximal, characteristic, complemented
28#13071102C211yesmaximal, characteristic, complemented
29C42×D44C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C4×C11×#124C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C2×C11×#124C2211yescharacteristic
34C2×C4×Q8×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×#67000C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C22×C4×Dic11C2211yescharacteristic
43C2×#66939C2211yescharacteristic
44C2×#66937C2211yescharacteristic
45C2×#66936C2211yescharacteristic
46C2×(C22⋊D11)⋊C4C2211yescharacteristic
47C2×(C22⋊D11)⋊C4C2211yescharacteristic
48C2×#66932C2211yescharacteristic
49C2×#66929C2211yescharacteristic
50C2×C4×D44C2211yescharacteristic
51C2×C4×D44C2211yescharacteristic
52C2×C4×D44C2211yescharacteristic
53C2×C4×D44C2211yescharacteristic
54C2×#66925C2211yescharacteristic
55C2×C42×D11C2211yescharacteristic
56C2×C42×D11C2211yescharacteristic
57C11×#391C2211yescharacteristic
58C11×#390C2211yescharacteristic
59C11×#388C2211yescharacteristic
60C11×#388C2211yescharacteristic
61C11×#388C2211yescharacteristic
62C11×#388C2211yescharacteristic
63C11×#382C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66C4×C11×C22⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68C43×C11C2211yescharacteristic
69#10622844C2211yescharacteristic
70#10622843C2211yescharacteristic
71#10622842C2211yescharacteristic
72#10622836C2211yescharacteristic
73#10622836C2211yescharacteristic
74#10622833C2211yescharacteristic
75C4×C22⋊Dic11C2211yescharacteristic
76C4×C22⋊Dic11C2211yescharacteristic
77#10622607C2211yescharacteristic
78#10622607C2211yescharacteristic
79#10622605C2211yescharacteristic
80#10622604C2211yescharacteristic
81#10622603C2211yescharacteristic
82#10622603C2211yescharacteristic
83#10622603C2211yescharacteristic
84#10622603C2211yescharacteristic
85#10622603C2211yescharacteristic
86#10622601C2211yescharacteristic
87#10622597C2211yescharacteristic
88#10622597C2211yescharacteristic
89#10622595C2211yescharacteristic
90#10622592C2211yescharacteristic
91#10622590C2211yescharacteristic
92#10622585C2211yescharacteristic
93#10622574C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622573C2211yescharacteristic
96#10622573C2211yescharacteristic
97#10622573C2211yescharacteristic
98#10622573C2211yescharacteristic
99#10622572C2211yescharacteristic
100#10622572C2211yescharacteristic
101#10622572C2211yescharacteristic
102#10622572C2211yescharacteristic
103#10622571C2211yescharacteristic
104#10622571C2211yescharacteristic
105#10622570C2211yescharacteristic
106#10622570C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622564C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622564C2211yescharacteristic
116#10622563C2211yescharacteristic
117#10622561C2211yescharacteristic
118#10622560C2211yescharacteristic
119#10622558C2211yescharacteristic
120#10622558C2211yescharacteristic
121#10622558C2211yescharacteristic
122#10622557C2211yescharacteristic
123#10622556C2211yescharacteristic
124#10622555C2211yescharacteristic
125C22⋊C4×Dic11C2211yescharacteristic
126C22⋊C4×Dic11C2211yescharacteristic
127#10622553C2211yescharacteristic
128#10622553C2211yescharacteristic
129#10622553C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic
138C4×(C2×D11)⋊C4C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×(C2×D11)⋊C4C2211yescharacteristic
142#10622550C2211yescharacteristic
143C4×C4⋊Dic11C2211yescharacteristic
144C4×C4⋊Dic11C2211yescharacteristic
145C4×C4⋊Dic11C2211yescharacteristic
146C4×C4⋊Dic11C2211yescharacteristic
147#10622546C2211yescharacteristic
148#10622546C2211yescharacteristic
149#10622546C2211yescharacteristic
150C4×Dic11⋊C4C2211yescharacteristic
151C4×Dic11⋊C4C2211yescharacteristic
152C4×Dic11⋊C4C2211yescharacteristic
153C4×Dic11⋊C4C2211yescharacteristic
154C42×Dic11C2211yescharacteristic
155#10622289C2211yescharacteristic
156#10622288C2211yescharacteristic
157#10622286C2211yescharacteristic
158#10622285C2211yescharacteristic
159#10622285C2211yescharacteristic
160#10622284C2211yescharacteristic
161#10622283C2211yescharacteristic
162#10622283C2211yescharacteristic
163#10622282C2211yescharacteristic
164#10622281C2211yescharacteristic
165#10622280C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622279C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622277C2211yescharacteristic
172#10622270C2211yescharacteristic
173#10622269C2211yescharacteristic
174#10622268C2211yescharacteristic
175#10622267C2211yescharacteristic
176#10622266C2211yescharacteristic
177#10622266C2211yescharacteristic
178#10622266C2211yescharacteristic
179#10622265C2211yescharacteristic
180#10622265C2211yescharacteristic
181#10622264C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C2×#4339—24no—
200C2×#4339—42no—
201C2×#4339—42no—
202C22×D44C2311yescharacteristic
203C22×D44C2311yescharacteristic
204C22×D44C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#124—24no—
214C4×Q8×C11—42no—
215C4×D4×C11—42no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2311yescharacteristic
236C2×C42×C11C2311yescharacteristic
237C2×C42×C11C2311yescharacteristic
238C2×C42×C11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247#67000—24no—
248#66992—24no—
249C4×C22⋊D11—24no—
250C4×C22⋊D11—42no—
251C4×C22⋊D11—42no—
252C4×C22⋊D11—42no—
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11—42no—
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
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
315#66939—24no—
316#66937—24no—
317#66936—24no—
318(C22⋊D11)⋊C4—24no—
319(C22⋊D11)⋊C4—24no—
320#66932—24no—
321#66929—24no—
322C4×D44—24no—
323C4×D44—24no—
324C4×D44—24no—
325C4×D44—42no—
326#66925—42no—
327C42×D11—42no—
328C42×D11—42no—
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11×#95C2311yescharacteristic
332C11×#95C2311yescharacteristic
333C11×#95C2311yescharacteristic
334C11×#95C2311yescharacteristic
335C11×#95C2311yescharacteristic
336C11×#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#34962—111nomaximal, Sylow
370C24×C11C2411yescharacteristic
371C24×C11C2411yescharacteristic
372C23×D11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C2×Q8×C11—22no—
376C2×Q8×C11—22no—
377C2×Q8×C11—41no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—41no—
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×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C2×C22⋊D11—22no—
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—22no—
404C2×C22⋊D11—22no—
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—41no—
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C22×Dic11—22no—
419C22×Dic11—22no—
420C22×Dic11—22no—
421C22×Dic11—22no—
422C22×Dic11—41no—
423C22×Dic11—41no—
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
437#4339—416no—
438C2×D44—22no—
439C2×D44—22no—
440C2×D44—22no—
441C2×D44—22no—
442C2×D44—22no—
443C2×D44—22no—
444C2×D44—41no—
445C2×D44—41no—
446C2×D44—41no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—22no—
453C2×C4×D11—22no—
454C2×C4×D11—22no—
455C2×C4×D11—22no—
456C2×C4×D11—22no—
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×C4×D11—22no—
461C2×C4×D11—22no—
462C2×C4×D11—22no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×C4×D11#4114yes—
468C2×Dic22—22no—
469C2×Dic22—41no—
470C2×Dic22—41no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C22⋊C4—22no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—22no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4#4114yescomplemented
485C42×C11—22no—
486C42×C11—22no—
487C42×C11—22no—
488C42×C11—22no—
489C42×C11—22no—
490C42×C11—22no—
491C42×C11—22no—
492C42×C11—22no—
493C42×C11—22no—
494C22⋊Dic11—22no—
495C22⋊Dic11—22no—
496C22⋊Dic11—22no—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502(C2×D11)⋊C4—22no—
503(C2×D11)⋊C4—22no—
504(C2×D11)⋊C4—22no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—22no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4#4114yescomplemented
528C4⋊Dic11—22no—
529C4⋊Dic11—22no—
530C4⋊Dic11—22no—
531C4⋊Dic11—22no—
532C4⋊Dic11—41no—
533C4⋊Dic11#4114yescomplemented
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—22no—
537Dic11⋊C4—22no—
538Dic11⋊C4—22no—
539Dic11⋊C4—22no—
540Dic11⋊C4—22no—
541Dic11⋊C4—22no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4#4114yescomplemented
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—22no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563#2593—111no—
564#2586—111no—
565#2574—111no—
566#2574—111no—
567#2572—111no—
568#2555—111no—
569#2554—111no—
570#2554—111no—
571#2518—111no—
572#2518—111no—
573#2467—111no—
574#2467—111no—
575#2459—111no—
576#2459—111no—
577#2456—111no—
578#2456—111no—
579#2396—111no—
580#2392—111no—
581#2388—111no—
582#2388—111no—
583C4×#126—111no—
584C4×#126—111no—
585C4×#124—111no—
586C4×#124D1111yescharacteristic, complemented
587C4×#123—111no—
588C4×#123—111no—
589C4×#121—111no—
590C4×#121—111no—
591#2297—111no—
592C42×D4—111no—
593C42×D4—111no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11C2×#4112yes—
608C23×C11C2511yescharacteristic
609C22×D11—21no—
610C22×D11—21no—
611C22×D11—21no—
612C22×D11—21no—
613C22×D11—21no—
614C22×D11—21no—
615C22×D11—21no—
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623C22×D11—21no—
624C22×D11—21no—
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11C2×#4112yes—
629C22×D11C2×#4112yes—
630Q8×C11—44no—
631D4×C11—44no—
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—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
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—44no—
664C2×C4×C11—44no—
665C2×C4×C11C2×#4112yes—
666C2×C4×C11C2×#4112yes—
667C2×C4×C11C2×#4112yes—
668C2×C4×C11C2×#4112yes—
669C2×C4×C11C2×#4112yes—
670C2×C4×C11C2×#4112yes—
671C2×C4×C11H(5,𝔽2)12yes—
672C2×C4×C11H(5,𝔽2)12yes—
673C22⋊D11—28no—
674C22⋊D11—44no—
675C22⋊D11—44no—
676C22⋊D11—44no—
677C22⋊D11—44no—
678C22⋊D11—44no—
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×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—44no—
713C2×Dic11—44no—
714C2×Dic11C2×#4112yes—
715C2×Dic11C2×#4112yes—
716C2×Dic11C2×#4112yes—
717C2×Dic11C2×#4112yes—
718C2×Dic11C2×#4112yes—
719C2×Dic11C2×#4112yes—
720D44—28no—
721D44—44no—
722D44—44no—
723C4×D11—28no—
724C4×D11—44no—
725C4×D11—44no—
726C4×D11—44no—
727C4×D11—44no—
728C4×D11—44no—
729C4×D11—44no—
730Dic22—44no—
731C22×#41—111no—
732C2×#126—111no—
733C2×#126—111no—
734C2×#124—111no—
735C2×#124C2×D1111yescharacteristic
736C2×#123—111no—
737C2×#123—111no—
738C2×#121—111no—
739C2×#121—111no—
740C2×C4×Q8C2×D1111yescharacteristic
741C2×C4×D4—111no—
742C2×C4×D4—111no—
743C2×C4×D4—111no—
744C2×C4×D4—111no—
745C2×C4×D4—111no—
746C2×C4×D4—111no—
747C2×C4×D4—111no—
748C2×C4×D4—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4C2×D1111yescharacteristic
752C2×#117—111no—
753C22×C42—111no—
754C22×C42—111no—
755C22×C42—111no—
756#400—111no—
757#399—111no—
758#398—111no—
759#398—111no—
760#398—111no—
761#397—111no—
762#396—111no—
763#396—111no—
764#396—111no—
765#396—111no—
766#395—111no—
767#395—111no—
768#395—111no—
769#394—111no—
770#394—111no—
771#394—111no—
772#394—111no—
773#394—111no—
774#394—111no—
775#394—111no—
776#394—111no—
777#394—111no—
778#393—111no—
779#393—111no—
780#393—111no—
781#392—111no—
782#392—111no—
783#392—111no—
784#392—111no—
785#392—111no—
786#392—111no—
787#392—111no—
788#391—111no—
789#391—111no—
790#391—111no—
791#391C2×D1111yescharacteristic
792#390—111no—
793#390—111no—
794#390—111no—
795#390—111no—
796#390—111no—
797#390C2×D1111yescharacteristic
798#389—111no—
799#389—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388—111no—
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#388C2×D1111yescharacteristic
819#388C2×D1111yescharacteristic
820#388C2×D1111yescharacteristic
821#388C2×D1111yescharacteristic
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#387—111no—
827#387—111no—
828#387—111no—
829#387—111no—
830#387—111no—
831#387—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386—111no—
838#386—111no—
839#386—111no—
840#386—111no—
841#386—111no—
842#385—111no—
843#385—111no—
844#383—111no—
845#383—111no—
846#382—111no—
847#382C2×D1111yescharacteristic
848#381—111no—
849#381—111no—
850#380—111no—
851#380—111no—
852C4×C4⋊C4—111no—
853C4×C4⋊C4—111no—
854C4×C4⋊C4—111no—
855C4×C4⋊C4—111no—
856C4×C4⋊C4—111no—
857C4×C4⋊C4—111no—
858C4×C4⋊C4—111no—
859C4×C4⋊C4—111no—
860C4×C4⋊C4—111no—
861C4×C4⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C4×C22⋊C4—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4C2×D1111yescharacteristic
881C4×C22⋊C4C2×D1111yescharacteristic
882C4×C22⋊C4C2×D1111yescharacteristic
883C4×C22⋊C4C2×D1111yescharacteristic
884C43—111no—
885C43C2×D1111yescharacteristic
886C22×C11—22no—
887C22×C11—22no—
888C22×C11—22no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11C22×#4111yescharacteristic
901C22×C11C22×#4111yescharacteristic
902C22×C11C22×#4111yescharacteristic
903C22×C11C22×#4111yescharacteristic
904C22×C11C22×#4111yescharacteristic
905C22×C11C2×H(5,𝔽2)11yescharacteristic
906C22×C11C2×H(5,𝔽2)11yescharacteristic
907C2×D11—22no—
908C2×D11—22no—
909C2×D11—22no—
910C2×D11—22no—
911C2×D11—22no—
912C2×D11—22no—
913C2×D11—41no—
914C2×D11—41no—
915C2×D11—41no—
916C2×D11—41no—
917C2×D11—41no—
918C2×D11—41no—
919C2×D11—41no—
920C2×D11—41no—
921C2×D11—41no—
922C2×D11—41no—
923C2×D11—41no—
924C2×D11—41no—
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C4×C11—22no—
929C4×C11—22no—
930C4×C11—22no—
931C4×C11—22no—
932C4×C11—22no—
933C4×C11—41no—
934C4×C11—41no—
935C4×C11—41no—
936C4×C11—41no—
937C4×C11—41no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11#53814yes—
941Dic11—22no—
942Dic11—22no—
943Dic11—22no—
944Dic11—22no—
945Dic11—22no—
946Dic11—22no—
947Dic11—41no—
948Dic11—41no—
949Dic11—41no—
950Dic11—41no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954C2×#41—224no—
955C2×#41—442no—
956C2×#41—442no—
957C22×Q8—111no—
958C22×Q8C22×D1111yescharacteristic
959C22×D4—111no—
960C22×D4—111no—
961C22×D4—111no—
962C22×D4—111no—
963C22×D4—111no—
964C22×D4—111no—
965C22×D4—111no—
966C22×D4—111no—
967C22×D4—111no—
968C22×D4C22×D1111yescharacteristic
969C23×C4—111no—
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4—111no—
978C23×C4C22×D1111yescharacteristic
979C23×C4C22×D1111yescharacteristic
980#126—224no—
981#126—224no—
982#124—24no—
983#124—224no—
984#123—224no—
985#123—224no—
986#121—224no—
987#121—224no—
988C4×Q8—42no—
989C4×D4—42no—
990C4×D4—224no—
991C4×D4—224no—
992C4×D4—224no—
993C4×D4—224no—
994C4×D4—224no—
995C4×D4—224no—
996C4×D4—442no—
997C4×D4—442no—
998C4×D4—442no—
999C4×D4—442no—
1000#117—442no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4C22×D1111yescharacteristic
1022C2×C4⋊C4C22×D1111yescharacteristic
1023C2×C4⋊C4C22×D1111yescharacteristic
1024C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4C22×D1111yescharacteristic
1060C2×C22⋊C4C22×D1111yescharacteristic
1061C2×C22⋊C4C22×D1111yescharacteristic
1062C2×C22⋊C4C22×D1111yescharacteristic
1063C2×C22⋊C4C22×D1111yescharacteristic
1064C2×C22⋊C4C22×D1111yescharacteristic
1065C2×C22⋊C4C22×D1111yescharacteristic
1066C2×C22⋊C4C22×D1111yescharacteristic
1067C2×C22⋊C4C22×D1111yescharacteristic
1068C2×C22⋊C4C22×D1111yescharacteristic
1069C2×C42—111no—
1070C2×C42—111no—
1071C2×C42—111no—
1072C2×C42—111no—
1073C2×C42—111no—
1074C2×C42—111no—
1075C2×C42—111no—
1076C2×C42—111no—
1077C2×C42—111no—
1078C2×C42—111no—
1079C2×C42—111no—
1080C2×C42—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—442no—
1085C2×C42—442no—
1086C2×C42—442no—
1087C2×C42C22×D1111yescharacteristic
1088C2×C42C22×D1111yescharacteristic
1089C2×C42C22×D1111yescharacteristic
1090C2×C42C22×D1111yescharacteristic
1091C2×C42C22×D1111yescharacteristic
1092C2×C42C22×D1111yescharacteristic
1093C2×C42C22×D1111yescharacteristic
1094C2×C42C22×D1111yescharacteristic
1095C2×C42C22×D1111yescharacteristic
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#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95C22×D1111yescharacteristic
1129#95C22×D1111yescharacteristic
1130#95C22×D1111yescharacteristic
1131#95C22×D1111yescharacteristic
1132#95C22×D1111yescharacteristic
1133#95C22×D1111yescharacteristic
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136C2×C11—42no—
1137C2×C11—81no—
1138C2×C11#344411yescharacteristic
1139C2×C11#344411yescharacteristic
1140C2×C11C2×#53811yescharacteristic
1141C2×C11#348111yescharacteristic
1142C2×C11#348111yescharacteristic
1143C2×C11#348111yescharacteristic
1144C2×C11#348311yescharacteristic
1145D11—42no—
1146D11—42no—
1147D11—81no—
1148C24—111no—
1149C24—111no—
1150C24—111no—
1151C24C23×D1111yescharacteristic
1152C24C23×D1111yescharacteristic
1153#41—4416no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—41no—
1157C2×Q8—222no—
1158C2×Q8—441no—
1159C2×Q8—441no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—41no—
1163C2×D4—222no—
1164C2×D4—222no—
1165C2×D4—222no—
1166C2×D4—222no—
1167C2×D4—222no—
1168C2×D4—222no—
1169C2×D4—222no—
1170C2×D4—222no—
1171C2×D4—222no—
1172C2×D4—222no—
1173C2×D4—222no—
1174C2×D4—222no—
1175C2×D4—222no—
1176C2×D4—222no—
1177C2×D4—222no—
1178C2×D4—222no—
1179C2×D4—222no—
1180C2×D4—441no—
1181C2×D4—441no—
1182C2×D4—441no—
1183C2×D4—441no—
1184C2×D4—441no—
1185C2×D4—441no—
1186C2×D4—441no—
1187C2×D4—441no—
1188C2×D4—441no—
1189C2×D4—441no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—111no—
1197C22×C4—111no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—114no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—111no—
1206C22×C4—111no—
1207C22×C4—111no—
1208C22×C4—111no—
1209C22×C4—111no—
1210C22×C4—222no—
1211C22×C4—222no—
1212C22×C4—222no—
1213C22×C4—222no—
1214C22×C4—222no—
1215C22×C4—222no—
1216C22×C4—222no—
1217C22×C4—222no—
1218C22×C4—222no—
1219C22×C4—222no—
1220C22×C4—222no—
1221C22×C4—222no—
1222C22×C4—222no—
1223C22×C4—222no—
1224C22×C4—222no—
1225C22×C4—222no—
1226C22×C4—222no—
1227C22×C4—222no—
1228C22×C4—222no—
1229C22×C4—222no—
1230C22×C4—441no—
1231C22×C4—441no—
1232C22×C4—441no—
1233C22×C4—441no—
1234C22×C4—441no—
1235C22×C4—441no—
1236C22×C4C23×D1111yescharacteristic
1237C22×C4C23×D1111yescharacteristic
1238C22×C4C23×D1111yescharacteristic
1239C22×C4C23×D1111yescharacteristic
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—114no—
1254C4⋊C4—114no—
1255C4⋊C4—222no—
1256C4⋊C4—222no—
1257C4⋊C4—222no—
1258C4⋊C4—222no—
1259C4⋊C4—222no—
1260C4⋊C4—222no—
1261C4⋊C4—222no—
1262C4⋊C4—222no—
1263C4⋊C4—222no—
1264C4⋊C4—222no—
1265C4⋊C4—222no—
1266C4⋊C4—222no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—114no—
1283C22⋊C4—222no—
1284C22⋊C4—222no—
1285C22⋊C4—222no—
1286C22⋊C4—222no—
1287C22⋊C4—222no—
1288C22⋊C4—222no—
1289C22⋊C4—222no—
1290C22⋊C4—222no—
1291C22⋊C4—222no—
1292C22⋊C4—222no—
1293C22⋊C4—222no—
1294C22⋊C4—222no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4#433914yescomplemented
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—222no—
1327C42—222no—
1328C42—222no—
1329C42—222no—
1330C42—222no—
1331C42—222no—
1332C42—222no—
1333C42—222no—
1334C42—222no—
1335C42—441no—
1336C42—441no—
1337C42—441no—
1338C42—441no—
1339C42—441no—
1340C42—441no—
1341C11#3496211yescharacteristic, complemented, Sylow
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—112no—
1356C23—112no—
1357C23—221no—
1358C23—221no—
1359C23—221no—
1360C23—221no—
1361C23—221no—
1362C23—221no—
1363C23—221no—
1364C23—221no—
1365C23—221no—
1366C23—221no—
1367C23—221no—
1368C23—221no—
1369C23—221no—
1370C23—221no—
1371C23—221no—
1372C23—221no—
1373C23—221no—
1374C23—221no—
1375C23—221no—
1376C23C2×#433912yes—
1377C23C24×D1111yescharacteristic
1378Q8—44no—
1379Q8—444no—
1380D4—44no—
1381D4—228no—
1382D4—228no—
1383D4—444no—
1384D4—444no—
1385D4—444no—
1386D4—444no—
1387D4—444no—
1388D4—444no—
1389D4—444no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—112no—
1424C2×C4—112no—
1425C2×C4—112no—
1426C2×C4—112no—
1427C2×C4—112no—
1428C2×C4—112no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—228no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—444no—
1464C2×C4—444no—
1465C2×C4—444no—
1466C2×C4—444no—
1467C2×C4—444no—
1468C2×C4—444no—
1469C2×C4—444no—
1470C2×C4—444no—
1471C2×C4C2×#433912yes—
1472C2×C4C2×#433912yes—
1473C2×C4#6703712yes—
1474C2×C4#41×D1112yes—
1475C2×C4#41×D1112yes—
1476C2×C4#41×D1112yes—
1477C2×C4#41×D1112yes—
1478C2×C4#6704212yes—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—222no—
1494C22—222no—
1495C22—222no—
1496C22—222no—
1497C22—222no—
1498C22—222no—
1499C22—441no—
1500C22—441no—
1501C22—441no—
1502C22—441no—
1503C22—441no—
1504C22—441no—
1505C22—441no—
1506C22—441no—
1507C22—441no—
1508C22—441no—
1509C22—441no—
1510C22—441no—
1511C22—441no—
1512C22—441no—
1513C22—441no—
1514C22C22×#433911yescharacteristic
1515C22C2×#6703711yescharacteristic
1516C22C2×#41×D1111yescharacteristic
1517C22C2×#41×D1111yescharacteristic
1518C22C2×#41×D1111yescharacteristic
1519C22C2×#41×D1111yescharacteristic
1520C22C2×#6704211yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—222no—
1534C4—222no—
1535C4—222no—
1536C4—222no—
1537C4—222no—
1538C4—222no—
1539C4—441no—
1540C4—441no—
1541C4—441no—
1542C4—441no—
1543C4—441no—
1544C4—441no—
1545C4—441no—
1546C4#1062320914yes—
1547C2—42no—
1548C2—81no—
1549C2—442no—
1550C2—442no—
1551C2—881no—
1552C2#1308190911yescharacteristic
1553C2#1308191011yescharacteristic
1554C2C2×#1062320911yescharacteristic
1555C2#1308222011yescharacteristic
1556C2#1308222211yescharacteristic
1557C2#1308222611yescharacteristic
1558C2#1308224011yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×#124C2
hypercenterC4×#124D11
hypocenterC11#34962
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#124

Complements

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

NH ≅ G/Ntype
1. #13074109C2semidirect
2. #13074025C2semidirect
3. #13073897C2semidirect
4. #13073886C2semidirect
5. #13073863C2semidirect
6. #13073687C2semidirect
7. #13073682C2semidirect
8. #13073673C2semidirect
9. #13073281C2semidirect
10. #13073270C2semidirect
11. #13072671C2semidirect
12. #13072666C2semidirect
13. #13072560C2semidirect
14. #13072549C2semidirect
15. #13072514C2semidirect
16. #13072505C2semidirect
17. #13071886C2semidirect
18. #13071860C2semidirect
19. #13071832C2semidirect
20. #13071831C2semidirect
21. C4×#66929C2semidirect
22. C4×#66932C2semidirect
23. C4×#67000C2semidirect
24. C4×#66939C2semidirect
25. C4×#66936C2semidirect
26. C4×#66937C2semidirect
27. C4×#66992C2semidirect
28. #13071102C2semidirect
29. C42×D44C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C4×C11×#124C2semidirect
484. C11×C22⋊C4#41semidirect
527. (C2×D11)⋊C4#41semidirect
533. C4⋊Dic11#41semidirect
547. Dic11⋊C4#41semidirect
586. C4×#124D11semidirect
1316. C22⋊C4#4339semidirect
1341. C11#34962semidirect

Maximal subgroups

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

subgroupindex
#130741092
#130740252
#130738972
#130738862
#130738632
#130736872
#130736822
#130736732
#130732812
#130732702
#130726712
#130726662
#130725602
#130725492
#130725142
#130725052
#130718862
#130718602
#130718322
#130718312
C4×#669292
C4×#669322
C4×#670002
C4×#669392
C4×#669362
C4×#669372
C4×#669922
#130711022
C42×D442
C4×(C22⋊D11)⋊C42
C4×C11×#1242
#3496211