Finite Group Databasebeta

← C4×#10623177 #14916484

Subgroups — C4×#10623177 #14916484

Order 2816.

2024 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623177C211yesmaximal, characteristic
2#13071807C211yesmaximal, characteristic, complemented
3#13071806C211yesmaximal, characteristic, complemented
4#13071804C211yesmaximal, characteristic, complemented
5#13071804C211yesmaximal, characteristic, complemented
6#13071799C211yesmaximal, characteristic, complemented
7#13071798C211yesmaximal, characteristic, complemented
8#13071795C211yesmaximal, characteristic, complemented
9#13071794C211yesmaximal, characteristic, complemented
10#13071789C211yesmaximal, characteristic
11#13071782C211yesmaximal, characteristic, complemented
12#13071781C211yesmaximal, characteristic, complemented
13#13071779C211yesmaximal, characteristic, complemented
14#13071777C211yesmaximal, characteristic, complemented
15#13071765C211yesmaximal, characteristic
16#13071760C211yesmaximal, characteristic
17C4×#66941C211yesmaximal, characteristic, complemented
18C4×#66997C211yesmaximal, characteristic, complemented
19C4×#66943C211yesmaximal, characteristic, complemented
20C4×#66942C211yesmaximal, characteristic, complemented
21C4×#66951C211yesmaximal, characteristic, complemented
22C4×#66951C211yesmaximal, characteristic, complemented
23C4×#66932C211yesmaximal, characteristic, complemented
24C4×#66932C211yesmaximal, characteristic, complemented
25C4×#66938C211yesmaximal, characteristic
26C4×#66977C211yesmaximal, characteristic, complemented
27C4×#66949C211yesmaximal, characteristic, complemented
28C4×#66999C211yesmaximal, characteristic, complemented
29C4×#66982C211yesmaximal, characteristic
30C4×#66936C211yesmaximal, characteristic
31C4×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
32C2×C11×C22⋊Q8C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic
34C22×C42×C11C2211yescharacteristic
35C2×#66999C2211yescharacteristic
36C2×#66997C2211yescharacteristic
37C2×#66982C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×#66977C2211yescharacteristic
40#10623177C4116yesdirect product factor
41C2×#66951C2211yescharacteristic
42C2×#66951C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66943C2211yescharacteristic
45C2×#66942C2211yescharacteristic
46C2×#66941C2211yescharacteristic
47C2×#66938C2211yescharacteristic
48C2×#66936C2211yescharacteristic
49C2×#66932C2211yescharacteristic
50C2×#66932C2211yescharacteristic
51C2×C42×D11C2211yescharacteristic
52C2×C4×Dic22C2211yescharacteristic
53C2×C4×Dic22C2211yescharacteristic
54C11×#391C2211yescharacteristic
55C11×#389C2211yescharacteristic
56C11×#387C2211yescharacteristic
57C11×#387C2211yescharacteristic
58C11×#385C2211yescharacteristic
59C11×#385C2211yescharacteristic
60C11×#380C2211yescharacteristic
61C4×C11×C4⋊C4C2211yescharacteristic
62C4×C11×C4⋊C4C2211yescharacteristic
63C4×C11×C4⋊C4C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66#10622843C2211yescharacteristic
67#10622843C2211yescharacteristic
68#10622826C2211yescharacteristic
69#10622825C2211yescharacteristic
70#10622824C2211yescharacteristic
71#10622823C2211yescharacteristic
72#10622823C2211yescharacteristic
73#10622823C2211yescharacteristic
74C4×C22⋊Dic11C2211yescharacteristic
75C4×C22⋊Dic11C2211yescharacteristic
76C4×C22⋊Dic11C2211yescharacteristic
77#10622603C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622600C2211yescharacteristic
83#10622598C2211yescharacteristic
84#10622598C2211yescharacteristic
85#10622594C2211yescharacteristic
86#10622594C2211yescharacteristic
87#10622594C2211yescharacteristic
88#10622594C2211yescharacteristic
89#10622591C2211yescharacteristic
90#10622591C2211yescharacteristic
91#10622591C2211yescharacteristic
92#10622591C2211yescharacteristic
93#10622591C2211yescharacteristic
94#10622590C2211yescharacteristic
95#10622589C2211yescharacteristic
96#10622589C2211yescharacteristic
97#10622587C2211yescharacteristic
98#10622586C2211yescharacteristic
99#10622586C2211yescharacteristic
100#10622586C2211yescharacteristic
101#10622585C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622585C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622585C2211yescharacteristic
107#10622570C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622564C2211yescharacteristic
112#10622564C2211yescharacteristic
113#10622558C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622558C2211yescharacteristic
116#10622557C2211yescharacteristic
117#10622557C2211yescharacteristic
118#10622557C2211yescharacteristic
119#10622553C2211yescharacteristic
120#10622553C2211yescharacteristic
121C4×(C2×D11)⋊C4C2211yescharacteristic
122C4×(C2×D11)⋊C4C2211yescharacteristic
123C4×(C2×D11)⋊C4C2211yescharacteristic
124C4×(C2×D11)⋊C4C2211yescharacteristic
125C4×(C2×D11)⋊C4C2211yescharacteristic
126C4×C4⋊Dic11C2211yescharacteristic
127C4×C4⋊Dic11C2211yescharacteristic
128C4×C4⋊Dic11C2211yescharacteristic
129C4×C4⋊Dic11C2211yescharacteristic
130#10622546C2211yescharacteristic
131#10622546C2211yescharacteristic
132#10622546C2211yescharacteristic
133#10622546C2211yescharacteristic
134C4×Dic11⋊C4C2211yescharacteristic
135C4×Dic11⋊C4C2211yescharacteristic
136C4×Dic11⋊C4C2211yescharacteristic
137C4×Dic11⋊C4C2211yescharacteristic
138C4×Dic11⋊C4C2211yescharacteristic
139C4×Dic11⋊C4C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C42×Dic11C2211yescharacteristic
144C42×Dic11C2211yescharacteristic
145C42×Dic11C2211yescharacteristic
146#10622542C2211yescharacteristic
147#10622541C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622283C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622281C2211yescharacteristic
156#10622280C2211yescharacteristic
157#10622277C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622268C2211yescharacteristic
161#10622268C2211yescharacteristic
162#10622267C2211yescharacteristic
163#10622267C2211yescharacteristic
164#10622267C2211yescharacteristic
165#10622267C2211yescharacteristic
166#10622267C2211yescharacteristic
167#10622266C2211yescharacteristic
168#10622266C2211yescharacteristic
169#10622266C2211yescharacteristic
170#10622265C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622265C2211yescharacteristic
173#10622265C2211yescharacteristic
174#10622265C2211yescharacteristic
175#10622264C2211yescharacteristic
176#10622264C2211yescharacteristic
177#10622264C2211yescharacteristic
178#10622264C2211yescharacteristic
179#10622263C2211yescharacteristic
180#10622263C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622260C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×Dic22C2311yescharacteristic
197C22×Dic22C2311yescharacteristic
198C11×C22⋊Q8C2×C418yescomplemented
199C4×Q8×C11—42no—
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C42×C11—42no—
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229#66999C2×C418yescomplemented
230#66997C2×C418yescomplemented
231#66982C2×C418yes—
232C4×C22⋊D11—42no—
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254#66977C2×C418yescomplemented
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299#66951C2×C418yescomplemented
300#66951C2×C418yescomplemented
301#66949C2×C418yescomplemented
302#66943C2×C418yescomplemented
303#66942C2×C418yescomplemented
304#66941C2×C418yescomplemented
305#66938C2×C418yes—
306#66936C2×C418yes—
307#66932C2×C418yescomplemented
308#66932C2×C418yescomplemented
309C42×D11—42no—
310C4×Dic22—42no—
311C4×Dic22—42no—
312C11×#95C2311yescharacteristic
313C11×#95C2311yescharacteristic
314C11×#95C2311yescharacteristic
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11⋊#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C4×#563—111nomaximal, Sylow
365C24×C11C2411yescharacteristic
366C23×D11C2411yescharacteristic
367C2×Q8×C11—41no—
368C2×Q8×C11—41no—
369C2×Q8×C11C22×C414yes—
370C22×C4×C11—22no—
371C22×C4×C11—22no—
372C22×C4×C11—22no—
373C22×C4×C11—41no—
374C22×C4×C11—41no—
375C22×C4×C11—41no—
376C22×C4×C11—41no—
377C22×C4×C11—41no—
378C22×C4×C11C22×C414yes—
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C2×C22⋊D11—41no—
394C2×C22⋊D11—41no—
395C2×C22⋊D11C22×C414yes—
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—41no—
415C2×C4×D11—41no—
416C2×C4×D11—41no—
417C2×C4×D11—41no—
418C2×C4×D11—41no—
419C2×C4×D11C22×C414yes—
420C2×Dic22—41no—
421C2×Dic22—41no—
422C2×Dic22—41no—
423C2×Dic22—41no—
424C2×Dic22C22×C414yes—
425C2×Dic22C22×C414yes—
426C11×C4⋊C4—41no—
427C11×C4⋊C4—41no—
428C11×C4⋊C4—41no—
429C11×C4⋊C4—41no—
430C11×C4⋊C4—41no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4C22×C414yes—
433C11×C4⋊C4C22×C414yes—
434C11×C4⋊C4C22×C414yes—
435C11×C22⋊C4—41no—
436C11×C22⋊C4—41no—
437C11×C22⋊C4C22×C414yes—
438C11×C22⋊C4C22×C414yes—
439C42×C11—22no—
440C42×C11—22no—
441C42×C11—22no—
442C42×C11—22no—
443C42×C11—22no—
444C42×C11—22no—
445C42×C11—41no—
446C42×C11—41no—
447C22⋊Dic11—41no—
448C22⋊Dic11—41no—
449C22⋊Dic11—41no—
450C22⋊Dic11—41no—
451C22⋊Dic11C22×C414yes—
452C22⋊Dic11C22×C414yes—
453C22⋊Dic11C22×C414yes—
454(C2×D11)⋊C4—41no—
455(C2×D11)⋊C4—41no—
456(C2×D11)⋊C4—41no—
457(C2×D11)⋊C4—41no—
458(C2×D11)⋊C4—41no—
459(C2×D11)⋊C4—41no—
460(C2×D11)⋊C4C22×C414yes—
461(C2×D11)⋊C4C22×C414yes—
462(C2×D11)⋊C4C22×C414yes—
463(C2×D11)⋊C4C22×C414yes—
464(C2×D11)⋊C4C22×C414yes—
465C4⋊Dic11—41no—
466C4⋊Dic11—41no—
467C4⋊Dic11—41no—
468C4⋊Dic11—41no—
469C4⋊Dic11—41no—
470C4⋊Dic11—41no—
471C4⋊Dic11C22×C414yes—
472C4⋊Dic11C22×C414yes—
473C4⋊Dic11C22×C414yes—
474C4⋊Dic11C22×C414yes—
475Dic11⋊C4—41no—
476Dic11⋊C4—41no—
477Dic11⋊C4—41no—
478Dic11⋊C4—41no—
479Dic11⋊C4—41no—
480Dic11⋊C4—41no—
481Dic11⋊C4—41no—
482Dic11⋊C4—41no—
483Dic11⋊C4—41no—
484Dic11⋊C4—41no—
485Dic11⋊C4—41no—
486Dic11⋊C4—41no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489Dic11⋊C4C22×C414yes—
490Dic11⋊C4C22×C414yes—
491Dic11⋊C4C22×C414yes—
492Dic11⋊C4C22×C414yes—
493Dic11⋊C4C22×C414yes—
494Dic11⋊C4C22×C414yes—
495Dic11⋊C4C22×C414yes—
496Dic11⋊C4C22×C414yes—
497Dic11⋊C4C22×C414yes—
498C4×Dic11—22no—
499C4×Dic11—22no—
500C4×Dic11—22no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—41no—
506C4×Dic11—41no—
507C4×Dic11—41no—
508C4×Dic11—41no—
509C4×Dic11—41no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11—41no—
513C4×Dic11—41no—
514C4×Dic11—41no—
515C4×Dic11—41no—
516C4×Dic11C22×C414yes—
517C4×Dic11C22×C414yes—
518C4×Dic11C22×C414yes—
519C2×#563—111no—
520#2383—111no—
521#2383—111no—
522#2383—111no—
523#2383—111no—
524#2382—111no—
525#2382—111no—
526#2381—111no—
527#2381—111no—
528#2379—111no—
529#2378—111no—
530#2378—111no—
531#2378—111no—
532#2378—111no—
533#2376—111no—
534#2376—111no—
535C4×C4⋊Q8—111no—
536C4×C4⋊Q8—111no—
537C4×#125—111no—
538C4×#125—111no—
539C4×#126—111no—
540C4×#126—111no—
541C4×#126—111no—
542C4×#126—111no—
543C4×#124—111no—
544C4×C22⋊Q8—111no—
545C4×C22⋊Q8—111no—
546C4×C22⋊Q8—111no—
547C4×C22⋊Q8D1111yescharacteristic, complemented
548C4×#123—111no—
549C4×#123—111no—
550C23×C11—21no—
551C23×C11—21no—
552C23×C11—21no—
553C23×C11—21no—
554C23×C11—21no—
555C23×C11—21no—
556C23×C11C23×C412yes—
557C23×C11C2511yescharacteristic
558C22×D11—21no—
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11C23×C412yes—
565Q8×C11—44no—
566C2×C4×C11—21no—
567C2×C4×C11—21no—
568C2×C4×C11—21no—
569C2×C4×C11—21no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—44no—
600C2×C4×C11—44no—
601C2×C4×C11—44no—
602C2×C4×C11C23×C412yes—
603C2×C4×C11C23×C412yes—
604C2×C4×C11C23×C412yes—
605C2×C4×C11C23×C412yes—
606C2×C4×C11C23×C412yes—
607C2×C4×C11C23×C412yes—
608C2×C4×C11H(5,𝔽2)12yes—
609C2×C4×C112−1+412yes—
610C2×C4×C112−1+412yes—
611C22⋊D11—44no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11C23×C412yes—
651C2×Dic11C23×C412yes—
652C2×Dic11C23×C412yes—
653C2×Dic11C23×C412yes—
654C2×Dic11C23×C412yes—
655C2×Dic11C23×C412yes—
656C2×Dic11C23×C412yes—
657C4×D11—44no—
658C4×D11—44no—
659C4×D11—44no—
660Dic22—44no—
661Dic22—44no—
662#563—1116no—
663C2×C4⋊Q8—111no—
664C2×C4⋊Q8—111no—
665C2×#126—111no—
666C2×#126—111no—
667C2×#126—111no—
668C2×#126—111no—
669C2×#125—111no—
670C2×#125—111no—
671C2×#124—111no—
672C2×#123—111no—
673C2×#123—111no—
674C2×C22⋊Q8—111no—
675C2×C22⋊Q8—111no—
676C2×C22⋊Q8—111no—
677C2×C22⋊Q8C2×D1111yescharacteristic
678C2×C4×Q8—111no—
679C2×C4×Q8—111no—
680C2×C4×Q8C2×D1111yescharacteristic
681C2×C4×D4—111no—
682C22×C42—111no—
683C22×C42C2×D1111yescharacteristic
684#391—111no—
685#391—111no—
686#391—111no—
687#391—111no—
688#391—111no—
689#391—111no—
690#391—111no—
691#391—111no—
692#391C2×D1111yescharacteristic
693#390—111no—
694#389—111no—
695#389—111no—
696#389—111no—
697#389—111no—
698#389—111no—
699#389—111no—
700#389—111no—
701#389—111no—
702#389—111no—
703#389—111no—
704#389—111no—
705#389—111no—
706#389—111no—
707#389—111no—
708#389—111no—
709#389C2×D1111yescharacteristic
710#388—111no—
711#388—111no—
712#388—111no—
713#388—111no—
714#388—111no—
715#388—111no—
716#388—111no—
717#388—111no—
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388—111no—
729#388—111no—
730#387—111no—
731#387—111no—
732#387—111no—
733#387—111no—
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#387—111no—
747#387—111no—
748#387—111no—
749#387—111no—
750#387—111no—
751#387—111no—
752#387—111no—
753#387—111no—
754#387—111no—
755#387—111no—
756#387—111no—
757#387—111no—
758#387—111no—
759#387—111no—
760#387C2×D1111yescharacteristic
761#387C2×D1111yescharacteristic
762#386—111no—
763#386—111no—
764#385—111no—
765#385—111no—
766#385—111no—
767#385—111no—
768#385—111no—
769#385—111no—
770#385—111no—
771#385—111no—
772#385C2×D1111yescharacteristic
773#385C2×D1111yescharacteristic
774#384—111no—
775#384—111no—
776#383—111no—
777#383—111no—
778#383—111no—
779#383—111no—
780#382—111no—
781#382—111no—
782#382—111no—
783#381—111no—
784#381—111no—
785#380—111no—
786#380—111no—
787#380—111no—
788#380C2×D1111yescharacteristic
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C4⋊C4—111no—
799C4×C4⋊C4—111no—
800C4×C4⋊C4—111no—
801C4×C4⋊C4—111no—
802C4×C4⋊C4C2×D1111yescharacteristic
803C4×C4⋊C4C2×D1111yescharacteristic
804C4×C4⋊C4C2×D1111yescharacteristic
805C4×C22⋊C4—111no—
806C4×C22⋊C4—111no—
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4C2×D1111yescharacteristic
814C4×C22⋊C4C2×D1111yescharacteristic
815C43—111no—
816C43—111no—
817C43—111no—
818C22×C11—22no—
819C22×C11—22no—
820C22×C11—22no—
821C22×C11—41no—
822C22×C11—41no—
823C22×C11—41no—
824C22×C11—41no—
825C22×C11C24×C411yescharacteristic
826C22×C11C2×H(5,𝔽2)11yescharacteristic
827C22×C11C2×2−1+411yescharacteristic
828C22×C11C2×2−1+411yescharacteristic
829C22×C11#58511yescharacteristic
830C22×C11#58511yescharacteristic
831C22×C11#58511yescharacteristic
832C2×D11—22no—
833C2×D11—22no—
834C2×D11—22no—
835C2×D11—41no—
836C2×D11—41no—
837C2×D11—41no—
838C2×D11—41no—
839C4×C11—22no—
840C4×C11—22no—
841C4×C11—22no—
842C4×C11—22no—
843C4×C11—22no—
844C4×C11—22no—
845C4×C11—41no—
846C4×C11—41no—
847C4×C11—41no—
848C4×C11—41no—
849C4×C11—41no—
850C4×C11—41no—
851C4×C11—41no—
852C4×C11#56314yescomplemented
853Dic11—22no—
854Dic11—22no—
855Dic11—22no—
856Dic11—22no—
857Dic11—22no—
858Dic11—22no—
859Dic11—22no—
860Dic11—41no—
861Dic11—41no—
862Dic11—41no—
863Dic11—41no—
864Dic11—41no—
865Dic11—41no—
866Dic11—41no—
867Dic11—41no—
868C22×Q8—111no—
869C22×Q8—111no—
870C22×Q8C22×D1111yescharacteristic
871C22×D4—111no—
872C23×C4—111no—
873C23×C4—111no—
874C23×C4—111no—
875C23×C4C22×D1111yescharacteristic
876C23×C4C22×D1111yescharacteristic
877C23×C4C22×D1111yescharacteristic
878C4⋊Q8—118no—
879C4⋊Q8—118no—
880#126—118no—
881#126—118no—
882#126—118no—
883#126—118no—
884#125—118no—
885#125—118no—
886#124—118no—
887#123—118no—
888#123—118no—
889C22⋊Q8—118no—
890C22⋊Q8—118no—
891C22⋊Q8—118no—
892C22⋊Q8C4×D1118yescomplemented
893C4×Q8—42no—
894C4×Q8—442no—
895C4×Q8—442no—
896C4×D4—442no—
897C2×C4⋊C4—111no—
898C2×C4⋊C4—111no—
899C2×C4⋊C4—111no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4C22×D1111yescharacteristic
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C4⋊C4C22×D1111yescharacteristic
933C2×C4⋊C4C22×D1111yescharacteristic
934C2×C4⋊C4C22×D1111yescharacteristic
935C2×C4⋊C4C22×D1111yescharacteristic
936C2×C4⋊C4C22×D1111yescharacteristic
937C2×C4⋊C4C22×D1111yescharacteristic
938C2×C4⋊C4C22×D1111yescharacteristic
939C2×C22⋊C4—111no—
940C2×C22⋊C4—111no—
941C2×C22⋊C4—111no—
942C2×C22⋊C4—111no—
943C2×C22⋊C4—111no—
944C2×C22⋊C4—111no—
945C2×C22⋊C4—111no—
946C2×C22⋊C4—111no—
947C2×C22⋊C4—111no—
948C2×C22⋊C4—111no—
949C2×C22⋊C4—111no—
950C2×C22⋊C4—111no—
951C2×C22⋊C4—111no—
952C2×C22⋊C4—111no—
953C2×C22⋊C4—111no—
954C2×C22⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4C22×D1111yescharacteristic
958C2×C22⋊C4C22×D1111yescharacteristic
959C2×C22⋊C4C22×D1111yescharacteristic
960C2×C22⋊C4C22×D1111yescharacteristic
961C2×C42—42no—
962C2×C42—111no—
963C2×C42—111no—
964C2×C42—111no—
965C2×C42—111no—
966C2×C42—111no—
967C2×C42—111no—
968C2×C42—111no—
969C2×C42—111no—
970C2×C42—111no—
971C2×C42—111no—
972C2×C42—111no—
973C2×C42—111no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—442no—
984C2×C42C22×D1111yescharacteristic
985C2×C42C22×D1111yescharacteristic
986C2×C42C22×D1111yescharacteristic
987C2×C42C22×D1111yescharacteristic
988C2×C42C22×D1111yescharacteristic
989C2×C42C22×D1111yescharacteristic
990C2×C42C22×D1111yescharacteristic
991C2×C42C22×D1111yescharacteristic
992#95—111no—
993#95—111no—
994#95—111no—
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95C22×D1111yescharacteristic
1035#95C22×D1111yescharacteristic
1036#95C22×D1111yescharacteristic
1037#95C22×D1111yescharacteristic
1038#95C22×D1111yescharacteristic
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044C2×C11—42no—
1045C2×C11C4×H(5,𝔽2)11yescharacteristic
1046C2×C11C4×2−1+411yescharacteristic
1047C2×C11C4×2−1+411yescharacteristic
1048C2×C11C2×#56311yescharacteristic
1049C2×C11#352911yescharacteristic
1050C2×C11#353111yescharacteristic
1051C2×C11#353111yescharacteristic
1052D11—42no—
1053C24—111no—
1054C24C23×D1111yescharacteristic
1055C2×Q8—41no—
1056C2×Q8—41no—
1057C2×Q8—114no—
1058C2×Q8—114no—
1059C2×Q8—441no—
1060C2×Q8—441no—
1061C2×Q8—441no—
1062C2×Q8—441no—
1063C2×Q8C2×C4×D1114yes—
1064C2×D4—114no—
1065C2×D4—441no—
1066C2×D4—441no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—111no—
1076C22×C4—111no—
1077C22×C4—111no—
1078C22×C4—111no—
1079C22×C4—111no—
1080C22×C4—111no—
1081C22×C4—111no—
1082C22×C4—114no—
1083C22×C4—111no—
1084C22×C4—111no—
1085C22×C4—111no—
1086C22×C4—111no—
1087C22×C4—111no—
1088C22×C4—111no—
1089C22×C4—111no—
1090C22×C4—111no—
1091C22×C4—222no—
1092C22×C4—222no—
1093C22×C4—222no—
1094C22×C4—441no—
1095C22×C4—441no—
1096C22×C4—441no—
1097C22×C4—441no—
1098C22×C4—441no—
1099C22×C4C2×C4×D1114yes—
1100C22×C4C23×D1111yescharacteristic
1101C22×C4C23×D1111yescharacteristic
1102C22×C4C23×D1111yescharacteristic
1103C22×C4C23×D1111yescharacteristic
1104C22×C4C23×D1111yescharacteristic
1105C22×C4C23×D1111yescharacteristic
1106C22×C4C23×D1111yescharacteristic
1107C22×C4C23×D1111yescharacteristic
1108C22×C4C23×D1111yescharacteristic
1109C22×C4C23×D1111yescharacteristic
1110C22×C4C23×D1111yescharacteristic
1111C22×C4C23×D1111yescharacteristic
1112C22×C4C23×D1111yescharacteristic
1113C22×C4C23×D1111yescharacteristic
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C4⋊C4—41no—
1120C4⋊C4—114no—
1121C4⋊C4—114no—
1122C4⋊C4—114no—
1123C4⋊C4—114no—
1124C4⋊C4—114no—
1125C4⋊C4—114no—
1126C4⋊C4—114no—
1127C4⋊C4—114no—
1128C4⋊C4—114no—
1129C4⋊C4—114no—
1130C4⋊C4—114no—
1131C4⋊C4—114no—
1132C4⋊C4—114no—
1133C4⋊C4—441no—
1134C4⋊C4—441no—
1135C4⋊C4—441no—
1136C4⋊C4—441no—
1137C4⋊C4—441no—
1138C4⋊C4—441no—
1139C4⋊C4—441no—
1140C4⋊C4—441no—
1141C4⋊C4—441no—
1142C4⋊C4—441no—
1143C4⋊C4—441no—
1144C4⋊C4—441no—
1145C4⋊C4—441no—
1146C4⋊C4—441no—
1147C4⋊C4—441no—
1148C4⋊C4—441no—
1149C4⋊C4—441no—
1150C4⋊C4—441no—
1151C4⋊C4—441no—
1152C4⋊C4—441no—
1153C4⋊C4C2×C4×D1114yes—
1154C4⋊C4C2×C4×D1114yes—
1155C4⋊C4C2×C4×D1114yes—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—114no—
1159C22⋊C4—114no—
1160C22⋊C4—114no—
1161C22⋊C4—114no—
1162C22⋊C4—114no—
1163C22⋊C4—114no—
1164C22⋊C4—114no—
1165C22⋊C4—114no—
1166C22⋊C4—441no—
1167C22⋊C4—441no—
1168C22⋊C4—441no—
1169C22⋊C4—441no—
1170C22⋊C4—441no—
1171C22⋊C4—441no—
1172C22⋊C4—441no—
1173C22⋊C4—441no—
1174C22⋊C4—441no—
1175C22⋊C4—441no—
1176C22⋊C4C2×C4×D1114yes—
1177C22⋊C4C2×C4×D1114yes—
1178C42—22no—
1179C42—22no—
1180C42—22no—
1181C42—22no—
1182C42—22no—
1183C42—22no—
1184C42—41no—
1185C42—41no—
1186C42—114no—
1187C42—114no—
1188C42—114no—
1189C42—222no—
1190C42—222no—
1191C42—222no—
1192C42—222no—
1193C42—222no—
1194C42—222no—
1195C42—222no—
1196C42—441no—
1197C42—441no—
1198C42—441no—
1199C42—441no—
1200C42—441no—
1201C42—441no—
1202C42—441no—
1203C42—441no—
1204C42—441no—
1205C42—441no—
1206C42—441no—
1207C11C4×#56311yescharacteristic, complemented, Sylow
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—112no—
1215C23—221no—
1216C23—221no—
1217C23—221no—
1218C23—221no—
1219C23—221no—
1220C23—221no—
1221C23C22×C4×D1112yes—
1222C23C24×D1111yescharacteristic
1223Q8—44no—
1224Q8—444no—
1225Q8—444no—
1226D4—444no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—44no—
1261C2×C4—44no—
1262C2×C4—44no—
1263C2×C4—112no—
1264C2×C4—112no—
1265C2×C4—112no—
1266C2×C4—112no—
1267C2×C4—112no—
1268C2×C4—112no—
1269C2×C4—112no—
1270C2×C4—221no—
1271C2×C4—221no—
1272C2×C4—221no—
1273C2×C4—221no—
1274C2×C4—221no—
1275C2×C4—221no—
1276C2×C4—221no—
1277C2×C4—221no—
1278C2×C4—221no—
1279C2×C4—221no—
1280C2×C4—221no—
1281C2×C4—221no—
1282C2×C4—221no—
1283C2×C4—221no—
1284C2×C4—221no—
1285C2×C4—221no—
1286C2×C4—221no—
1287C2×C4—221no—
1288C2×C4—221no—
1289C2×C4—221no—
1290C2×C4—221no—
1291C2×C4—221no—
1292C2×C4—221no—
1293C2×C4—221no—
1294C2×C4—221no—
1295C2×C4—221no—
1296C2×C4—221no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—444no—
1309C2×C4—444no—
1310C2×C4—444no—
1311C2×C4C22×C4×D1112yes—
1312C2×C4C22×C4×D1112yes—
1313C2×C4C22×C4×D1112yes—
1314C2×C4C22×C4×D1112yes—
1315C2×C4C22×C4×D1112yes—
1316C2×C4C22×C4×D1112yes—
1317C2×C4#6703712yes—
1318C2×C4#6704012yes—
1319C2×C4#6704312yes—
1320C22—22no—
1321C22—22no—
1322C22—22no—
1323C22—41no—
1324C22—41no—
1325C22—41no—
1326C22—41no—
1327C22—222no—
1328C22—222no—
1329C22—222no—
1330C22—441no—
1331C22—441no—
1332C22—441no—
1333C22—441no—
1334C22C23×C4×D1111yescharacteristic
1335C22C2×#6703711yescharacteristic
1336C22C2×#6704011yescharacteristic
1337C22C2×#6704311yescharacteristic
1338C22#1062345311yescharacteristic
1339C22#1062345311yescharacteristic
1340C22#1062345311yescharacteristic
1341C4—22no—
1342C4—22no—
1343C4—22no—
1344C4—22no—
1345C4—22no—
1346C4—22no—
1347C4—41no—
1348C4—41no—
1349C4—41no—
1350C4—41no—
1351C4—41no—
1352C4—41no—
1353C4—41no—
1354C4—222no—
1355C4—222no—
1356C4—222no—
1357C4—222no—
1358C4—222no—
1359C4—222no—
1360C4—222no—
1361C4—441no—
1362C4—441no—
1363C4—441no—
1364C4—441no—
1365C4—441no—
1366C4—441no—
1367C4—441no—
1368C4—441no—
1369C4#1062317714yesdirect product factor
1370C2—42no—
1371C2—442no—
1372C2C4×#6703711yescharacteristic
1373C2C4×#6704311yescharacteristic
1374C2C4×#6704011yescharacteristic
1375C2C2×#1062317711yescharacteristic
1376C2#1308275411yescharacteristic
1377C2#1308276111yescharacteristic
1378C2#1308276311yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC4×C11×C22⋊Q8C2
socle, cosocleC23×C11C25
prime radicalC22×C22⋊D11C23
hypercenterC4×C22⋊Q8D11
hypocenterC11C4×#563
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. #13071807C2semidirect
3. #13071806C2semidirect
4. #13071804C2semidirect
5. #13071804C2semidirect
6. #13071799C2semidirect
7. #13071798C2semidirect
8. #13071795C2semidirect
9. #13071794C2semidirect
11. #13071782C2semidirect
12. #13071781C2semidirect
13. #13071779C2semidirect
14. #13071777C2semidirect
17. C4×#66941C2semidirect
18. C4×#66997C2semidirect
19. C4×#66943C2semidirect
20. C4×#66942C2semidirect
21. C4×#66951C2semidirect
22. C4×#66951C2semidirect
23. C4×#66932C2semidirect
24. C4×#66932C2semidirect
26. C4×#66977C2semidirect
27. C4×#66949C2semidirect
28. C4×#66999C2semidirect
31. C4×C11×C22⋊Q8C2semidirect
40. #10623177C4direct (N × H)
198. C11×C22⋊Q8C2×C4semidirect
229. #66999C2×C4semidirect
230. #66997C2×C4semidirect
254. #66977C2×C4semidirect
299. #66951C2×C4semidirect
300. #66951C2×C4semidirect
301. #66949C2×C4semidirect
302. #66943C2×C4semidirect
303. #66942C2×C4semidirect
304. #66941C2×C4semidirect
307. #66932C2×C4semidirect
308. #66932C2×C4semidirect
547. C4×C22⋊Q8D11semidirect
852. C4×C11#563semidirect
892. C22⋊Q8C4×D11semidirect
1207. C11C4×#563semidirect
1369. C4#10623177direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106231772
#130718072
#130718062
#130718042
#130717992
#130717982
#130717952
#130717942
#130717892
#130717822
#130717812
#130717792
#130717772
#130717652
#130717602
C4×#669412
C4×#669972
C4×#669432
C4×#669422
C4×#669512
C4×#669322
C4×#669382
C4×#669772
C4×#669492
C4×#669992
C4×#669822
C4×#669362
C4×C11×C22⋊Q82
C4×#56311