Finite Group Databasebeta

← #25259987

Subgroups — #25259987

Order 11008.

2810 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583461C211yesmaximal, characteristic
2#19137754C211yesmaximal, characteristic, complemented
3#19137749C211yesmaximal, characteristic, complemented
4#19137741C211yesmaximal, characteristic, complemented
5#19137735C211yesmaximal, characteristic, complemented
6#19137725C211yesmaximal, characteristic, complemented
7#19137633C211yesmaximal, characteristic, complemented
8#19137631C211yesmaximal, characteristic, complemented
9#19137577C211yesmaximal, characteristic, complemented
10#19137577C211yesmaximal, characteristic, complemented
11#19137573C211yesmaximal, characteristic, complemented
12#19137571C211yesmaximal, characteristic, complemented
13#19137571C211yesmaximal, characteristic, complemented
14#19137444C211yesmaximal, characteristic, complemented
15C22⋊C4×C22⋊D43C211yesmaximal, characteristic, complemented
16#19137411C211yesmaximal, characteristic, complemented
17#19137390C211yesmaximal, characteristic, complemented
18#19137378C211yesmaximal, characteristic, complemented
19#19137360C211yesmaximal, characteristic, complemented
20#19137357C211yesmaximal, characteristic, complemented
21#19137288C211yesmaximal, characteristic, complemented
22#19137284C211yesmaximal, characteristic, complemented
23#19137266C211yesmaximal, characteristic, complemented
24#19137263C211yesmaximal, characteristic, complemented
25#19137257C211yesmaximal, characteristic, complemented
26#19137248C211yesmaximal, characteristic, complemented
27#19137171C211yesmaximal, characteristic, complemented
28C4×#13063309C211yesmaximal, characteristic, complemented
29#19137114C211yesmaximal, characteristic, complemented
30C2×#14582799C211yesmaximal, characteristic, complemented
31C43×#2342C211yesmaximal, characteristic, complemented
32C23×C22⋊D43C2211yescharacteristic
33C23×C22⋊D43C2211yescharacteristic
34#14583461C4116yescomplemented
35C2×#13063309C2211yescharacteristic
36C2×#13063309C2211yescharacteristic
37C2×#13063309C2211yescharacteristic
38C2×#13063309C2211yescharacteristic
39C2×#13063299C2211yescharacteristic
40C2×#13063299C2211yescharacteristic
41C2×#13063299C2211yescharacteristic
42C2×#13063299C2211yescharacteristic
43C2×#13063295C2211yescharacteristic
44C2×#13063295C2211yescharacteristic
45C2×#13063295C2211yescharacteristic
46C2×#13063295C2211yescharacteristic
47C2×C4×D172C2211yescharacteristic, complemented
48C2×C4×D172C2211yescharacteristic, complemented
49C2×#13063287C2211yescharacteristic, complemented
50C2×#13063287C2211yescharacteristic, complemented
51C2×C4×C22⋊D43C2211yescharacteristic
52C2×C4×C22⋊D43C2211yescharacteristic
53C2×(C22⋊D43)⋊C4C2211yescharacteristic
54C2×(C22⋊D43)⋊C4C2211yescharacteristic
55C2×#13063284C2211yescharacteristic, complemented
56C22×Dic43⋊C4C2211yescharacteristic, complemented
57C22×C22⋊Dic43C2211yescharacteristic
58C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
59C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
60C2×C22⋊C4×D43C2211yescharacteristic, complemented
61C2×C22⋊C4×D43C2211yescharacteristic, complemented
62C2×C22⋊C4×D43C2211yescharacteristic, complemented
63C2×C22⋊C4×D43C2211yescharacteristic, complemented
64C22×C4×Dic43C2211yescharacteristic, complemented
65#14582801C2211yescharacteristic, complemented
66#14582801C2211yescharacteristic, complemented
67#14582800C2211yescharacteristic, complemented
68#14582800C2211yescharacteristic, complemented
69#14582799C2211yescharacteristic
70#14582799C2211yescharacteristic
71#14582799C2211yescharacteristic
72#14582799C2211yescharacteristic
73#14582799C2211yescharacteristic, complemented
74#14582799C2211yescharacteristic, complemented
75#14582799C2211yescharacteristic, complemented
76#14582799C2211yescharacteristic, complemented
77#14582799C2211yescharacteristic, complemented
78#14582799C2211yescharacteristic, complemented
79#14582799C2211yescharacteristic, complemented
80#14582799C2211yescharacteristic, complemented
81#14582797C2211yescharacteristic, complemented
82#14582797C2211yescharacteristic, complemented
83#14582795C2211yescharacteristic, complemented
84#14582795C2211yescharacteristic, complemented
85#14582792C2211yescharacteristic, complemented
86#14582792C2211yescharacteristic, complemented
87#14582792C2211yescharacteristic, complemented
88#14582792C2211yescharacteristic, complemented
89#14582791C2211yescharacteristic, complemented
90#14582791C2211yescharacteristic, complemented
91#14582791C2211yescharacteristic, complemented
92#14582791C2211yescharacteristic, complemented
93#14582790C2211yescharacteristic, complemented
94#14582790C2211yescharacteristic, complemented
95#14582790C2211yescharacteristic, complemented
96#14582790C2211yescharacteristic, complemented
97#14582789C2211yescharacteristic, complemented
98#14582789C2211yescharacteristic, complemented
99#14582789C2211yescharacteristic, complemented
100#14582789C2211yescharacteristic, complemented
101#14582788C2211yescharacteristic, complemented
102#14582788C2211yescharacteristic, complemented
103#14582788C2211yescharacteristic, complemented
104#14582788C2211yescharacteristic, complemented
105#14582784C2211yescharacteristic, complemented
106#14582784C2211yescharacteristic, complemented
107#14582784C2211yescharacteristic, complemented
108#14582784C2211yescharacteristic, complemented
109#14582782C2211yescharacteristic, complemented
110#14582782C2211yescharacteristic, complemented
111#14582782C2211yescharacteristic, complemented
112#14582782C2211yescharacteristic, complemented
113#14582778C2211yescharacteristic
114#14582778C2211yescharacteristic
115#14582777C2211yescharacteristic, complemented
116#14582777C2211yescharacteristic, complemented
117#14582777C2211yescharacteristic, complemented
118#14582777C2211yescharacteristic, complemented
119#14582777C2211yescharacteristic, complemented
120#14582777C2211yescharacteristic, complemented
121#14582777C2211yescharacteristic, complemented
122#14582777C2211yescharacteristic, complemented
123#14582776C2211yescharacteristic
124#14582776C2211yescharacteristic
125#14582775C2211yescharacteristic
126#14582775C2211yescharacteristic
127#14582775C2211yescharacteristic
128#14582775C2211yescharacteristic
129#14582775C2211yescharacteristic, complemented
130#14582775C2211yescharacteristic, complemented
131#14582775C2211yescharacteristic, complemented
132#14582775C2211yescharacteristic, complemented
133#14582775C2211yescharacteristic, complemented
134#14582775C2211yescharacteristic, complemented
135#14582775C2211yescharacteristic, complemented
136#14582775C2211yescharacteristic, complemented
137#14582774C2211yescharacteristic, complemented
138#14582774C2211yescharacteristic, complemented
139#14582773C2211yescharacteristic, complemented
140#14582773C2211yescharacteristic, complemented
141#14582773C2211yescharacteristic, complemented
142#14582773C2211yescharacteristic, complemented
143#14582770C2211yescharacteristic, complemented
144#14582770C2211yescharacteristic, complemented
145#14582770C2211yescharacteristic, complemented
146#14582770C2211yescharacteristic, complemented
147#14582762C2211yescharacteristic, complemented
148#14582760C2211yescharacteristic, complemented
149#14582760C2211yescharacteristic, complemented
150#14582759C2211yescharacteristic, complemented
151#14582757C2211yescharacteristic, complemented
152#14582757C2211yescharacteristic, complemented
153#14582755C2211yescharacteristic
154#14582754C2211yescharacteristic, complemented
155#14582754C2211yescharacteristic, complemented
156C4⋊C4×Dic43C2211yescharacteristic, complemented
157C4⋊C4×Dic43C2211yescharacteristic, complemented
158C4×C4⋊Dic43C2211yescharacteristic, complemented
159C4×C4⋊Dic43C2211yescharacteristic, complemented
160C22⋊C4×Dic43C2211yescharacteristic, complemented
161C22⋊C4×Dic43C2211yescharacteristic, complemented
162C22⋊C4×Dic43C2211yescharacteristic, complemented
163C22⋊C4×Dic43C2211yescharacteristic, complemented
164C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
167C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
168C4×C22⋊Dic43C2211yescharacteristic, complemented
169#14582746C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic, complemented
172#14582746C2211yescharacteristic, complemented
173C2×#117×C43C2211yescharacteristic, complemented
174C22×C22⋊C4×C43C2211yescharacteristic
175C22×C22⋊C4×C43C2211yescharacteristic
176C43×#388C2211yescharacteristic, complemented
177C43×#388C2211yescharacteristic, complemented
178C43×#388C2211yescharacteristic, complemented
179C43×#388C2211yescharacteristic, complemented
180C43×#385C2211yescharacteristic, complemented
181C43×#385C2211yescharacteristic, complemented
182C43×#381C2211yescharacteristic, complemented
183C43×#380C2211yescharacteristic, complemented
184C43×#379C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic, complemented
186C4×C22⋊C4×C43C2211yescharacteristic, complemented
187C4×C22⋊C4×C43C2211yescharacteristic, complemented
188C24×D43C2311yescharacteristic
189C24×D43C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×C22⋊D43—42no—
195C22×C22⋊D43—42no—
196C22×C22⋊D43—42no—
197C22×C22⋊D43—42no—
198C22×C22⋊D43C2×C418yescomplemented
199C22×C22⋊D43C2×C418yescomplemented
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C23×Dic43C2311yescharacteristic
209C23×Dic43C2311yescharacteristic
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220#13063309C2×C418yescomplemented
221#13063309C2×C418yescomplemented
222#13063309C2×C418yescomplemented
223#13063309C2×C418yescomplemented
224#13063299C2×C418yescomplemented
225#13063299C2×C418yescomplemented
226#13063299C2×C418yescomplemented
227#13063299C2×C418yescomplemented
228#13063295C2×C418yescomplemented
229#13063295C2×C418yescomplemented
230#13063295C2×C418yescomplemented
231#13063295C2×C418yescomplemented
232C4×D172—42no—
233C4×D172—42no—
234#13063287—42no—
235#13063287—42no—
236C4×C22⋊D43—42no—
237C4×C22⋊D43—42no—
238(C22⋊D43)⋊C4—42no—
239(C22⋊D43)⋊C4—42no—
240#13063284—42no—
241C2×C4⋊Dic43C2311yescharacteristic
242C2×C4⋊Dic43C2311yescharacteristic
243C2×C4⋊Dic43C2311yescharacteristic
244C2×C4⋊Dic43C2311yescharacteristic
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×Dic43⋊C4—42no—
250C2×Dic43⋊C4C2311yescharacteristic
251C2×Dic43⋊C4C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×C22⋊Dic43—42no—
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
261C2×C22⋊Dic43C2311yescharacteristic
262C2×C22⋊Dic43C2311yescharacteristic
263C2×C22⋊Dic43C2311yescharacteristic
264C2×C22⋊Dic43C2311yescharacteristic
265C2×C22⋊Dic43C2311yescharacteristic
266C2×C22⋊Dic43C2311yescharacteristic
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×(C2×D43)⋊C4—42no—
270C2×(C2×D43)⋊C4—42no—
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C22⋊C4×D43—42no—
304C22⋊C4×D43—42no—
305C22⋊C4×D43—42no—
306C22⋊C4×D43—42no—
307C2×C4×Dic43—42no—
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C2×C4×Dic43C2311yescharacteristic
311C2×C4×Dic43C2311yescharacteristic
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
316C2×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C25×C43C2311yescharacteristic
345C23×C4×C43C2311yescharacteristic
346C23×C4×C43C2311yescharacteristic
347C23×C4×C43C2311yescharacteristic
348C23×C4×C43C2311yescharacteristic
349#117×C43—42no—
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C4⋊C4×C43C2311yescharacteristic
352C2×C4⋊C4×C43C2311yescharacteristic
353C2×C4⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43—42no—
355C2×C22⋊C4×C43C2×C418yescomplemented
356C2×C22⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C42×C43C2311yescharacteristic
371C2×C42×C43C2311yescharacteristic
372C2×C42×C43C2311yescharacteristic
373C2×C42×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382C24×C43—22no—
383C24×C43—22no—
384C24×C43—41no—
385C24×C43—41no—
386C24×C43—41no—
387C24×C43—41no—
388C24×C43C22×C414yes—
389C24×C43C2411yescharacteristic
390C24×C43C2411yescharacteristic
391C24×C43C2411yescharacteristic
392C23×D43—22no—
393C23×D43—22no—
394C23×D43—41no—
395C23×D43—41no—
396C23×D43—41no—
397C23×D43—41no—
398C23×D43—41no—
399C23×D43—41no—
400C23×D43—41no—
401C23×D43—41no—
402C23×D43—41no—
403C23×D43—41no—
404C23×D43C22×C414yes—
405C23×D43C22×C414yes—
406C23×D43C2411yescharacteristic
407C23×D43C2411yescharacteristic
408C23×D43C2411yescharacteristic
409C23×D43C2411yescharacteristic
410C22×C4×C43—22no—
411C22×C4×C43—22no—
412C22×C4×C43—22no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
415C22×C4×C43—41no—
416C22×C4×C43—41no—
417C22×C4×C43—41no—
418C22×C4×C43—41no—
419C22×C4×C43—41no—
420C22×C4×C43C22×C414yes—
421C22×C4×C43C22×C414yes—
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C2×C22⋊D43—22no—
435C2×C22⋊D43—22no—
436C2×C22⋊D43—22no—
437C2×C22⋊D43—22no—
438C2×C22⋊D43—416no—
439C2×C22⋊D43—41no—
440C2×C22⋊D43—41no—
441C2×C22⋊D43—41no—
442C2×C22⋊D43—41no—
443C2×C22⋊D43—41no—
444C2×C22⋊D43—41no—
445C2×C22⋊D43—41no—
446C2×C22⋊D43—41no—
447C2×C22⋊D43—41no—
448C2×C22⋊D43—41no—
449C2×C22⋊D43—41no—
450C2×C22⋊D43—41no—
451C2×C22⋊D43—416no—
452C2×C22⋊D43C22×C414yes—
453C2×C22⋊D43C22×C414yes—
454C2×C22⋊D43C22×C414yes—
455C2×C22⋊D43C22×C414yes—
456C2×C22⋊D43C22×C414yes—
457C2×C22⋊D43C22×C414yes—
458C2×C22⋊D43C22×C414yes—
459C2×C22⋊D43C22×C414yes—
460C22×Dic43—22no—
461C22×Dic43—22no—
462C22×Dic43—22no—
463C22×Dic43—22no—
464C22×Dic43—22no—
465C22×Dic43—41no—
466C22×Dic43—41no—
467C22×Dic43—41no—
468C22×Dic43—41no—
469C22×Dic43—41no—
470C22×Dic43C22×C414yes—
471C22×Dic43C22×C414yes—
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2411yescharacteristic
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481C22×Dic43C2411yescharacteristic
482C22×Dic43C2411yescharacteristic
483C22×Dic43C2411yescharacteristic
484C2×D172—41no—
485C2×D172—41no—
486C2×D172—41no—
487C2×D172—41no—
488C2×D172—41no—
489C2×D172—41no—
490C2×D172—41no—
491C2×D172—41no—
492C2×D172C22×C414yes—
493C2×D172C22×C414yes—
494C2×D172C22×C414yes—
495C2×D172C22×C414yes—
496C2×C4×D43—22no—
497C2×C4×D43—22no—
498C2×C4×D43—41no—
499C2×C4×D43—41no—
500C2×C4×D43—41no—
501C2×C4×D43—41no—
502C2×C4×D43—41no—
503C2×C4×D43—41no—
504C2×C4×D43—41no—
505C2×C4×D43—41no—
506C2×C4×D43—41no—
507C2×C4×D43—41no—
508C2×C4×D43—41no—
509C2×C4×D43—41no—
510C2×C4×D43—41no—
511C2×C4×D43—41no—
512C2×C4×D43—41no—
513C2×C4×D43—41no—
514C2×C4×D43—41no—
515C2×C4×D43—41no—
516C2×C4×D43—41no—
517C2×C4×D43—41no—
518C2×C4×D43—41no—
519C2×C4×D43—41no—
520C4⋊C4×C43—22no—
521C4⋊C4×C43—41no—
522C4⋊C4×C43—41no—
523C4⋊C4×C43—41no—
524C22⋊C4×C43—22no—
525C22⋊C4×C43—22no—
526C22⋊C4×C43—22no—
527C22⋊C4×C43—22no—
528C22⋊C4×C43—41no—
529C22⋊C4×C43—41no—
530C22⋊C4×C43—41no—
531C22⋊C4×C43—41no—
532C22⋊C4×C43—41no—
533C22⋊C4×C43—41no—
534C22⋊C4×C43C22×C414yes—
535C22⋊C4×C43C22×C414yes—
536C22⋊C4×C43C22×C414yes—
537C22⋊C4×C43C22×C414yes—
538C42×C43—22no—
539C42×C43—41no—
540C42×C43—41no—
541C42×C43—41no—
542C22⋊Dic43—22no—
543C22⋊Dic43—22no—
544C22⋊Dic43—22no—
545C22⋊Dic43—22no—
546C22⋊Dic43—41no—
547C22⋊Dic43—41no—
548C22⋊Dic43—41no—
549C22⋊Dic43—41no—
550C22⋊Dic43—41no—
551C22⋊Dic43—41no—
552(C2×D43)⋊C4—22no—
553(C2×D43)⋊C4—22no—
554(C2×D43)⋊C4—22no—
555(C2×D43)⋊C4—22no—
556(C2×D43)⋊C4—22no—
557(C2×D43)⋊C4—22no—
558(C2×D43)⋊C4—41no—
559(C2×D43)⋊C4—41no—
560(C2×D43)⋊C4—41no—
561(C2×D43)⋊C4—41no—
562(C2×D43)⋊C4—41no—
563(C2×D43)⋊C4—41no—
564(C2×D43)⋊C4—41no—
565(C2×D43)⋊C4—41no—
566(C2×D43)⋊C4—41no—
567(C2×D43)⋊C4—41no—
568(C2×D43)⋊C4—41no—
569(C2×D43)⋊C4—41no—
570(C2×D43)⋊C4—41no—
571(C2×D43)⋊C4—41no—
572(C2×D43)⋊C4—41no—
573(C2×D43)⋊C4—41no—
574(C2×D43)⋊C4—41no—
575(C2×D43)⋊C4—41no—
576(C2×D43)⋊C4C22×C414yes—
577(C2×D43)⋊C4C22×C414yes—
578(C2×D43)⋊C4C22×C414yes—
579(C2×D43)⋊C4C22×C414yes—
580(C2×D43)⋊C4C22×C414yes—
581(C2×D43)⋊C4C22×C414yes—
582(C2×D43)⋊C4C22×C414yes—
583(C2×D43)⋊C4C22×C414yes—
584C4⋊Dic43—22no—
585C4⋊Dic43—41no—
586C4⋊Dic43—41no—
587C4⋊Dic43—41no—
588C4⋊Dic43C22×C414yes—
589C4⋊Dic43C22×C414yes—
590C4⋊Dic43C22×C414yes—
591C4⋊Dic43C22×C414yes—
592Dic43⋊C4—41no—
593Dic43⋊C4—41no—
594Dic43⋊C4—41no—
595Dic43⋊C4—41no—
596Dic43⋊C4—41no—
597Dic43⋊C4—41no—
598Dic43⋊C4—41no—
599Dic43⋊C4—41no—
600C4×Dic43—22no—
601C4×Dic43—41no—
602C4×Dic43—41no—
603C4×Dic43—41no—
604C4×Dic43—41no—
605C4×Dic43—41no—
606C4×Dic43—41no—
607C4×Dic43—41no—
608C4×Dic43—41no—
609C4×Dic43—41no—
610C4×Dic43—41no—
611C4×Dic43—41no—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—21no—
617C23×C43—21no—
618C23×C43—21no—
619C23×C43—21no—
620C23×C43—21no—
621C23×C43—21no—
622C23×C43—21no—
623C23×C43—21no—
624C23×C43—21no—
625C23×C43—21no—
626C23×C43—21no—
627C23×C43—21no—
628C23×C43—28no—
629C23×C43—44no—
630C23×C43—44no—
631C23×C43—82no—
632C23×C43—82no—
633C23×C43—82no—
634C23×C43—82no—
635C23×C43C23×C412yes—
636C23×C43C23×C412yes—
637C23×C43C23×C412yes—
638C23×C43H(5,𝔽2)12yes—
639C23×C43H(5,𝔽2)12yes—
640C23×C43C2511yescharacteristic
641C22×D43—21no—
642C22×D43—21no—
643C22×D43—21no—
644C22×D43—21no—
645C22×D43—21no—
646C22×D43—21no—
647C22×D43—21no—
648C22×D43—21no—
649C22×D43—21no—
650C22×D43—21no—
651C22×D43—21no—
652C22×D43—21no—
653C22×D43—21no—
654C22×D43—21no—
655C22×D43—21no—
656C22×D43—21no—
657C22×D43—21no—
658C22×D43—21no—
659C22×D43—21no—
660C22×D43—21no—
661C22×D43—21no—
662C22×D43—21no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—28no—
666C22×D43—44no—
667C22×D43—44no—
668C22×D43—44no—
669C22×D43—44no—
670C22×D43—44no—
671C22×D43—82no—
672C22×D43—82no—
673C22×D43—82no—
674C22×D43—82no—
675C22×D43—82no—
676C22×D43—82no—
677C22×D43—82no—
678C22×D43—82no—
679C22×D43C23×C412yes—
680C22×D43C23×C412yes—
681C22×D43C23×C412yes—
682C22×D43C23×C412yes—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—44no—
715C2×C4×C43—44no—
716C2×C4×C43—44no—
717C2×C4×C43—82no—
718C2×C4×C43C23×C412yes—
719C2×C4×C43C23×C412yes—
720C2×C4×C43C23×C412yes—
721C2×C4×C43C23×C412yes—
722C2×C4×C43H(5,𝔽2)12yes—
723C22⋊D43—28no—
724C22⋊D43—28no—
725C22⋊D43—44no—
726C22⋊D43—44no—
727C22⋊D43—44no—
728C22⋊D43—44no—
729C22⋊D43—44no—
730C22⋊D43—44no—
731C2×Dic43—28no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—44no—
764C2×Dic43—44no—
765C2×Dic43—82no—
766C2×Dic43C23×C412yes—
767C2×Dic43C23×C412yes—
768C2×Dic43C23×C412yes—
769C2×Dic43C23×C412yes—
770C2×Dic43H(5,𝔽2)12yes—
771D172—44no—
772D172—44no—
773D172—44no—
774D172—44no—
775C4×D43—82no—
776C4×D43—82no—
777C4×D43—82no—
778C4×D43—82no—
779C4×D43—82no—
780C4×D43—82no—
781C4×D43—82no—
782C4×D43—82no—
783#34408—431nomaximal, Sylow
784C22×C43—22no—
785C22×C43—22no—
786C22×C43—22no—
787C22×C43—22no—
788C22×C43—22no—
789C22×C43—22no—
790C22×C43—22no—
791C22×C43—22no—
792C22×C43—22no—
793C22×C43—22no—
794C22×C43—22no—
795C22×C43—22no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—88no—
805C22×C43#51814yes—
806C22×C43C24×C411yescharacteristic
807C22×C43C2×H(5,𝔽2)11yescharacteristic
808C22×C43C2×H(5,𝔽2)11yescharacteristic
809C22×C43C2×H(5,𝔽2)11yescharacteristic
810C22×C43C2×H(5,𝔽2)11yescharacteristic
811C22×C43#58511yescharacteristic
812C22×C43#58511yescharacteristic
813C2×D43—22no—
814C2×D43—22no—
815C2×D43—22no—
816C2×D43—22no—
817C2×D43—22no—
818C2×D43—22no—
819C2×D43—22no—
820C2×D43—22no—
821C2×D43—22no—
822C2×D43—22no—
823C2×D43—22no—
824C2×D43—22no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—41no—
828C2×D43—41no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—88no—
842C2×D43—88no—
843C4×C43—22no—
844C4×C43—22no—
845C4×C43—22no—
846C4×C43—22no—
847C4×C43—22no—
848C4×C43—41no—
849C4×C43—41no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855Dic43—22no—
856Dic43—22no—
857Dic43—22no—
858Dic43—22no—
859Dic43—22no—
860Dic43—41no—
861Dic43—41no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867C2×#534—431no—
868#2377—431no—
869#2377—431no—
870#2376—431no—
871#2375—431no—
872#2374—431no—
873#2363—431no—
874#2363—431no—
875#2358—431no—
876#2358—431no—
877#2358—431no—
878#2358—431no—
879#2358—431no—
880#2342—431no—
881#2342D4311yescharacteristic, complemented
882D4×C22⋊C4—431no—
883D4×C22⋊C4—431no—
884#2335—431no—
885#2335—431no—
886#2333—431no—
887#2333—431no—
888#2324—431no—
889#2324—431no—
890#2322—431no—
891#2322—431no—
892#2321—431no—
893#2321—431no—
894#2308—431no—
895C4×#123—431no—
896C4×#123—431no—
897C2×#390—431no—
898C2×C43—24no—
899C2×C43—42no—
900C2×C43—42no—
901C2×C43C2×#51811yescharacteristic
902C2×C43C4×H(5,𝔽2)11yescharacteristic
903C2×C43C4×H(5,𝔽2)11yescharacteristic
904C2×C43#353411yescharacteristic
905C2×C43#353411yescharacteristic
906C2×C43#354311yescharacteristic
907C2×C43#354511yescharacteristic
908D43—42no—
909D43—42no—
910D43—42no—
911D43—42no—
912C23×D4—431no—
913C23×D4—431no—
914#534—4316no—
915C2×#123—431no—
916C2×#123—431no—
917C2×#123—431no—
918C2×#123—431no—
919C2×#121—431no—
920C2×#121—431no—
921C2×#121—431no—
922C2×#121—431no—
923C2×#120—431no—
924C2×#120—431no—
925C2×#120—431no—
926C2×#120—431no—
927C2×C4×D4—431no—
928C2×C4×D4—431no—
929C2×C4×D4—431no—
930C2×C4×D4—431no—
931C2×C4×D4—431no—
932C2×C4×D4—431no—
933C2×C4×D4—431no—
934C2×C4×D4—431no—
935C2×#117—431no—
936C2×#117C2×D4311yescharacteristic, complemented
937C22×C4⋊C4—431no—
938C22×C22⋊C4—431no—
939C22×C22⋊C4—431no—
940C22×C22⋊C4—431no—
941C22×C22⋊C4—431no—
942C22×C22⋊C4—431no—
943C22×C22⋊C4—431no—
944C22×C22⋊C4—431no—
945C22×C22⋊C4C2×D4311yescharacteristic
946C22×C22⋊C4C2×D4311yescharacteristic
947C22×C42—431no—
948#390—431no—
949#390—431no—
950#390—431no—
951#390—431no—
952#390—431no—
953#390—431no—
954#390—431no—
955#390—431no—
956#390—431no—
957#390—431no—
958#390—431no—
959#390—431no—
960#390—431no—
961#390—431no—
962#390—431no—
963#390—431no—
964#389—431no—
965#389—431no—
966#389—431no—
967#389—431no—
968#388—431no—
969#388—431no—
970#388—431no—
971#388—431no—
972#388—431no—
973#388—431no—
974#388—431no—
975#388—431no—
976#388—431no—
977#388—431no—
978#388—431no—
979#388—431no—
980#388—431no—
981#388—431no—
982#388—431no—
983#388—431no—
984#388—431no—
985#388—431no—
986#388—431no—
987#388—431no—
988#388C2×D4311yescharacteristic, complemented
989#388C2×D4311yescharacteristic, complemented
990#388C2×D4311yescharacteristic, complemented
991#388C2×D4311yescharacteristic, complemented
992#387—431no—
993#387—431no—
994#387—431no—
995#387—431no—
996#387—431no—
997#387—431no—
998#387—431no—
999#387—431no—
1000#386—431no—
1001#386—431no—
1002#386—431no—
1003#386—431no—
1004#386—431no—
1005#386—431no—
1006#386—431no—
1007#386—431no—
1008#386—431no—
1009#386—431no—
1010#386—431no—
1011#386—431no—
1012#386—431no—
1013#386—431no—
1014#386—431no—
1015#386—431no—
1016#386—431no—
1017#386—431no—
1018#386—431no—
1019#386—431no—
1020#386—431no—
1021#386—431no—
1022#386—431no—
1023#386—431no—
1024#385—431no—
1025#385—431no—
1026#385—431no—
1027#385—431no—
1028#385—431no—
1029#385—431no—
1030#385—431no—
1031#385—431no—
1032#385—431no—
1033#385—431no—
1034#385C2×D4311yescharacteristic, complemented
1035#385C2×D4311yescharacteristic, complemented
1036#381—431no—
1037#381—431no—
1038#381—431no—
1039#381C2×D4311yescharacteristic, complemented
1040#380—431no—
1041#380—431no—
1042#380—431no—
1043#380C2×D4311yescharacteristic, complemented
1044#379—431no—
1045#379—431no—
1046#379—431no—
1047#379C2×D4311yescharacteristic
1048C4×C4⋊C4—431no—
1049C4×C4⋊C4—431no—
1050C4×C4⋊C4—431no—
1051C4×C4⋊C4—431no—
1052C4×C22⋊C4—431no—
1053C4×C22⋊C4—431no—
1054C4×C22⋊C4—431no—
1055C4×C22⋊C4—431no—
1056C4×C22⋊C4—431no—
1057C4×C22⋊C4—431no—
1058C4×C22⋊C4—431no—
1059C4×C22⋊C4—431no—
1060C4×C22⋊C4—431no—
1061C4×C22⋊C4—431no—
1062C4×C22⋊C4—431no—
1063C4×C22⋊C4—431no—
1064C4×C22⋊C4—431no—
1065C4×C22⋊C4C2×D4311yescharacteristic, complemented
1066C4×C22⋊C4C2×D4311yescharacteristic, complemented
1067C4×C22⋊C4C2×D4311yescharacteristic, complemented
1068C43#3440811yescharacteristic, complemented, Sylow
1069C25—431no—
1070C25—431no—
1071C25C22×D4311yescharacteristic
1072C22×D4—431no—
1073C22×D4—431no—
1074C22×D4—438no—
1075C22×D4—438no—
1076C22×D4—431no—
1077C22×D4—431no—
1078C22×D4—431no—
1079C22×D4—431no—
1080C22×D4—431no—
1081C22×D4—431no—
1082C22×D4—431no—
1083C22×D4—431no—
1084C22×D4—431no—
1085C22×D4—431no—
1086C22×D4—1722no—
1087C22×D4—1722no—
1088C22×D4—1722no—
1089C22×D4—1722no—
1090C23×C4—431no—
1091C23×C4—431no—
1092C23×C4—431no—
1093C23×C4—431no—
1094C23×C4—431no—
1095C23×C4—431no—
1096C23×C4—431no—
1097C23×C4—431no—
1098C23×C4—431no—
1099C23×C4—431no—
1100C23×C4—431no—
1101C23×C4—431no—
1102C23×C4C22×D4311yescharacteristic
1103C23×C4C22×D4311yescharacteristic
1104C23×C4C22×D4311yescharacteristic
1105C23×C4C22×D4311yescharacteristic
1106#123—438no—
1107#123—438no—
1108#123—438no—
1109#123—438no—
1110#121—438no—
1111#121—438no—
1112#121—438no—
1113#121—438no—
1114#120—438no—
1115#120—438no—
1116#120—438no—
1117#120—438no—
1118C4×D4—1722no—
1119C4×D4—1722no—
1120C4×D4—1722no—
1121C4×D4—1722no—
1122C4×D4—1722no—
1123C4×D4—1722no—
1124C4×D4—1722no—
1125C4×D4—1722no—
1126#117—42no—
1127#117—1722no—
1128C2×C4⋊C4—431no—
1129C2×C4⋊C4—431no—
1130C2×C4⋊C4—431no—
1131C2×C4⋊C4—431no—
1132C2×C4⋊C4—431no—
1133C2×C4⋊C4—431no—
1134C2×C4⋊C4—431no—
1135C2×C4⋊C4—431no—
1136C2×C4⋊C4—431no—
1137C2×C4⋊C4—431no—
1138C2×C4⋊C4—431no—
1139C2×C4⋊C4—431no—
1140C2×C4⋊C4—431no—
1141C2×C4⋊C4—431no—
1142C2×C4⋊C4—431no—
1143C2×C4⋊C4—431no—
1144C2×C4⋊C4—1722no—
1145C2×C4⋊C4C22×D4311yescharacteristic
1146C2×C4⋊C4C22×D4311yescharacteristic
1147C2×C4⋊C4C22×D4311yescharacteristic
1148C2×C4⋊C4C22×D4311yescharacteristic
1149C2×C22⋊C4—42no—
1150C2×C22⋊C4—431no—
1151C2×C22⋊C4—431no—
1152C2×C22⋊C4—431no—
1153C2×C22⋊C4—431no—
1154C2×C22⋊C4—431no—
1155C2×C22⋊C4—431no—
1156C2×C22⋊C4—431no—
1157C2×C22⋊C4—431no—
1158C2×C22⋊C4—431no—
1159C2×C22⋊C4—431no—
1160C2×C22⋊C4—431no—
1161C2×C22⋊C4—431no—
1162C2×C22⋊C4—431no—
1163C2×C22⋊C4—431no—
1164C2×C22⋊C4—431no—
1165C2×C22⋊C4—431no—
1166C2×C22⋊C4—431no—
1167C2×C22⋊C4—431no—
1168C2×C22⋊C4—431no—
1169C2×C22⋊C4—431no—
1170C2×C22⋊C4—431no—
1171C2×C22⋊C4—431no—
1172C2×C22⋊C4—431no—
1173C2×C22⋊C4—431no—
1174C2×C22⋊C4—431no—
1175C2×C22⋊C4—431no—
1176C2×C22⋊C4—431no—
1177C2×C22⋊C4—431no—
1178C2×C22⋊C4—431no—
1179C2×C22⋊C4—431no—
1180C2×C22⋊C4—431no—
1181C2×C22⋊C4—431no—
1182C2×C22⋊C4—431no—
1183C2×C22⋊C4—431no—
1184C2×C22⋊C4—431no—
1185C2×C22⋊C4—431no—
1186C2×C22⋊C4—431no—
1187C2×C22⋊C4—431no—
1188C2×C22⋊C4—431no—
1189C2×C22⋊C4—431no—
1190C2×C22⋊C4—431no—
1191C2×C22⋊C4—431no—
1192C2×C22⋊C4—1722no—
1193C2×C22⋊C4—1722no—
1194C2×C22⋊C4—1722no—
1195C2×C22⋊C4—1722no—
1196C2×C22⋊C4—1722no—
1197C2×C22⋊C4—1722no—
1198C2×C22⋊C4—1722no—
1199C2×C22⋊C4C4×D4318yescomplemented
1200C2×C22⋊C4C22×D4311yescharacteristic
1201C2×C22⋊C4C22×D4311yescharacteristic
1202C2×C22⋊C4C22×D4311yescharacteristic
1203C2×C22⋊C4C22×D4311yescharacteristic
1204C2×C22⋊C4C22×D4311yescharacteristic
1205C2×C22⋊C4C22×D4311yescharacteristic
1206C2×C22⋊C4C22×D4311yescharacteristic
1207C2×C22⋊C4C22×D4311yescharacteristic
1208C2×C22⋊C4C22×D4311yescharacteristic
1209C2×C22⋊C4C22×D4311yescharacteristic
1210C2×C22⋊C4C22×D4311yescharacteristic
1211C2×C22⋊C4C22×D4311yescharacteristic
1212C2×C22⋊C4C22×D4311yescharacteristic
1213C2×C22⋊C4C22×D4311yescharacteristic
1214C2×C42—431no—
1215C2×C42—431no—
1216C2×C42—431no—
1217C2×C42—431no—
1218C2×C42—431no—
1219C2×C42—431no—
1220C2×C42—431no—
1221C2×C42—431no—
1222C2×C42—431no—
1223C2×C42—431no—
1224C2×C42—431no—
1225C2×C42—431no—
1226C2×C42—1722no—
1227C2×C42C22×D4311yescharacteristic
1228C2×C42C22×D4311yescharacteristic
1229C2×C42C22×D4311yescharacteristic
1230C2×C42C22×D4311yescharacteristic
1231#95—431no—
1232#95—431no—
1233#95—431no—
1234#95—431no—
1235#95—431no—
1236#95—431no—
1237#95—431no—
1238#95—431no—
1239#95—431no—
1240#95—431no—
1241#95—431no—
1242#95—431no—
1243#95—431no—
1244#95—431no—
1245#95—431no—
1246#95—431no—
1247#95—431no—
1248#95—431no—
1249#95—431no—
1250#95—431no—
1251#95—431no—
1252#95—431no—
1253#95—431no—
1254#95—431no—
1255#95C22×D4311yescharacteristic
1256#95C22×D4311yescharacteristic
1257#95C22×D4311yescharacteristic
1258#95C22×D4311yescharacteristic
1259#95C22×D4311yescharacteristic
1260#95C22×D4311yescharacteristic
1261#95C22×D4311yescharacteristic
1262#95C22×D4311yescharacteristic
1263C24—22no—
1264C24—22no—
1265C24—41no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—431no—
1270C24—431no—
1271C24—431no—
1272C24—431no—
1273C24—434no—
1274C24—434no—
1275C24—862no—
1276C24—862no—
1277C24—1721no—
1278C24—1721no—
1279C24—1721no—
1280C24—1721no—
1281C24—1721no—
1282C24—1721no—
1283C24—1721no—
1284C24—1721no—
1285C24—1721no—
1286C24—1721no—
1287C24C2×C4×D4314yes—
1288C24C23×D4311yescharacteristic
1289C24C23×D4311yescharacteristic
1290C24C23×D4311yescharacteristic
1291C2×D4—434no—
1292C2×D4—434no—
1293C2×D4—434no—
1294C2×D4—434no—
1295C2×D4—434no—
1296C2×D4—434no—
1297C2×D4—434no—
1298C2×D4—434no—
1299C2×D4—434no—
1300C2×D4—434no—
1301C2×D4—434no—
1302C2×D4—434no—
1303C2×D4—862no—
1304C2×D4—862no—
1305C2×D4—862no—
1306C2×D4—862no—
1307C2×D4—1721no—
1308C2×D4—1721no—
1309C2×D4—1721no—
1310C2×D4—1721no—
1311C2×D4—1721no—
1312C2×D4—1721no—
1313C2×D4—1721no—
1314C2×D4—1721no—
1315C2×D4—17216no—
1316C2×D4—1721no—
1317C2×D4—1721no—
1318C2×D4—1721no—
1319C2×D4—1721no—
1320C2×D4—1721no—
1321C2×D4—1721no—
1322C2×D4—1721no—
1323C2×D4—1721no—
1324C2×D4—1721no—
1325C2×D4—1721no—
1326C2×D4—1721no—
1327C2×D4—1721no—
1328C2×D4—17216no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—434no—
1340C22×C4—431no—
1341C22×C4—431no—
1342C22×C4—431no—
1343C22×C4—431no—
1344C22×C4—431no—
1345C22×C4—434no—
1346C22×C4—431no—
1347C22×C4—431no—
1348C22×C4—431no—
1349C22×C4—431no—
1350C22×C4—431no—
1351C22×C4—431no—
1352C22×C4—431no—
1353C22×C4—862no—
1354C22×C4—862no—
1355C22×C4—862no—
1356C22×C4—862no—
1357C22×C4—862no—
1358C22×C4—862no—
1359C22×C4—862no—
1360C22×C4—1721no—
1361C22×C4—1721no—
1362C22×C4—1721no—
1363C22×C4—1721no—
1364C22×C4—1721no—
1365C22×C4—1721no—
1366C22×C4—1721no—
1367C22×C4—1721no—
1368C22×C4—1721no—
1369C22×C4—1721no—
1370C22×C4—1721no—
1371C22×C4—1721no—
1372C22×C4—1721no—
1373C22×C4—1721no—
1374C22×C4—1721no—
1375C22×C4—1721no—
1376C22×C4—1721no—
1377C22×C4—1721no—
1378C22×C4—1721no—
1379C22×C4—1721no—
1380C22×C4—1721no—
1381C22×C4—1721no—
1382C22×C4—1721no—
1383C22×C4—1721no—
1384C22×C4—1721no—
1385C22×C4—1721no—
1386C22×C4—1721no—
1387C22×C4C2×C4×D4314yes—
1388C22×C4C2×C4×D4314yes—
1389C22×C4C23×D4311yescharacteristic
1390C22×C4C23×D4311yescharacteristic
1391C22×C4C23×D4311yescharacteristic
1392C22×C4C23×D4311yescharacteristic
1393C22×C4C23×D4311yescharacteristic
1394C22×C4C23×D4311yescharacteristic
1395C22×C4C23×D4311yescharacteristic
1396C22×C4C23×D4311yescharacteristic
1397C22×C4C23×D4311yescharacteristic
1398C22×C4C23×D4311yescharacteristic
1399C22×C4C23×D4311yescharacteristic
1400C22×C4C23×D4311yescharacteristic
1401C4⋊C4—22no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—434no—
1406C4⋊C4—434no—
1407C4⋊C4—434no—
1408C4⋊C4—434no—
1409C4⋊C4—862no—
1410C4⋊C4—1721no—
1411C4⋊C4—1721no—
1412C4⋊C4—1721no—
1413C4⋊C4—1721no—
1414C4⋊C4—1721no—
1415C4⋊C4—1721no—
1416C4⋊C4—1721no—
1417C4⋊C4—1721no—
1418C4⋊C4—1721no—
1419C4⋊C4—1721no—
1420C4⋊C4—1721no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—434no—
1432C22⋊C4—434no—
1433C22⋊C4—434no—
1434C22⋊C4—434no—
1435C22⋊C4—434no—
1436C22⋊C4—434no—
1437C22⋊C4—434no—
1438C22⋊C4—434no—
1439C22⋊C4—862no—
1440C22⋊C4—862no—
1441C22⋊C4—862no—
1442C22⋊C4—862no—
1443C22⋊C4—862no—
1444C22⋊C4—862no—
1445C22⋊C4—862no—
1446C22⋊C4—862no—
1447C22⋊C4—862no—
1448C22⋊C4—862no—
1449C22⋊C4—1721no—
1450C22⋊C4—1721no—
1451C22⋊C4—1721no—
1452C22⋊C4—1721no—
1453C22⋊C4—1721no—
1454C22⋊C4—1721no—
1455C22⋊C4—1721no—
1456C22⋊C4—1721no—
1457C22⋊C4—1721no—
1458C22⋊C4—1721no—
1459C22⋊C4—1721no—
1460C22⋊C4—1721no—
1461C22⋊C4—1721no—
1462C22⋊C4—1721no—
1463C22⋊C4—1721no—
1464C22⋊C4—1721no—
1465C22⋊C4—1721no—
1466C22⋊C4—1721no—
1467C22⋊C4—1721no—
1468C22⋊C4—1721no—
1469C22⋊C4—1721no—
1470C22⋊C4—1721no—
1471C22⋊C4—1721no—
1472C22⋊C4—1721no—
1473C22⋊C4C2×C4×D4314yes—
1474C22⋊C4C2×C4×D4314yes—
1475C22⋊C4C2×C4×D4314yes—
1476C22⋊C4C2×C4×D4314yes—
1477C42—22no—
1478C42—41no—
1479C42—41no—
1480C42—41no—
1481C42—862no—
1482C42—1721no—
1483C42—1721no—
1484C42—1721no—
1485C42—1721no—
1486C42—1721no—
1487C42—1721no—
1488C42—1721no—
1489C42—1721no—
1490C42—1721no—
1491C42—1721no—
1492C42—1721no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—28no—
1510C23—44no—
1511C23—44no—
1512C23—82no—
1513C23—82no—
1514C23—82no—
1515C23—82no—
1516C23—432no—
1517C23—432no—
1518C23—432no—
1519C23—432no—
1520C23—868no—
1521C23—861no—
1522C23—861no—
1523C23—861no—
1524C23—861no—
1525C23—861no—
1526C23—861no—
1527C23—861no—
1528C23—861no—
1529C23—861no—
1530C23—861no—
1531C23—861no—
1532C23—861no—
1533C23—861no—
1534C23—861no—
1535C23—861no—
1536C23—861no—
1537C23—861no—
1538C23—861no—
1539C23—861no—
1540C23—861no—
1541C23—861no—
1542C23—861no—
1543C23—861no—
1544C23—861no—
1545C23—3442no—
1546C23—3442no—
1547C23—3442no—
1548C23—3442no—
1549C23—3442no—
1550C23—3442no—
1551C23—3442no—
1552C23—3442no—
1553C23—1724no—
1554C23—1724no—
1555C23—1724no—
1556C23—1724no—
1557C23—1724no—
1558C23C22×C4×D4312yes—
1559C23C22×C4×D4312yes—
1560C23C22×C4×D4312yes—
1561C23#1306337112yes—
1562C23#1306337112yes—
1563C23C24×D4311yescharacteristic
1564D4—868no—
1565D4—868no—
1566D4—1724no—
1567D4—1724no—
1568D4—1724no—
1569D4—1724no—
1570D4—1724no—
1571D4—1724no—
1572D4—1724no—
1573D4—1724no—
1574D4—1724no—
1575D4—1724no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—82no—
1611C2×C4—432no—
1612C2×C4—432no—
1613C2×C4—432no—
1614C2×C4—432no—
1615C2×C4—432no—
1616C2×C4—868no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—861no—
1624C2×C4—861no—
1625C2×C4—861no—
1626C2×C4—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—861no—
1637C2×C4—861no—
1638C2×C4—861no—
1639C2×C4—861no—
1640C2×C4—861no—
1641C2×C4—861no—
1642C2×C4—861no—
1643C2×C4—861no—
1644C2×C4—861no—
1645C2×C4—861no—
1646C2×C4—861no—
1647C2×C4—861no—
1648C2×C4—3442no—
1649C2×C4—3442no—
1650C2×C4—3442no—
1651C2×C4—3442no—
1652C2×C4—3442no—
1653C2×C4—3442no—
1654C2×C4—3442no—
1655C2×C4—3442no—
1656C2×C4—3442no—
1657C2×C4—1724no—
1658C2×C4—1724no—
1659C2×C4C22×C4×D4312yes—
1660C2×C4C22×C4×D4312yes—
1661C2×C4C22×C4×D4312yes—
1662C2×C4C22×C4×D4312yes—
1663C2×C4#1306337012yes—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—88no—
1685C22—862no—
1686C22—862no—
1687C22—862no—
1688C22—862no—
1689C22—862no—
1690C22—862no—
1691C22—862no—
1692C22—862no—
1693C22—862no—
1694C22—862no—
1695C22—862no—
1696C22—862no—
1697C22—3448no—
1698C22—3448no—
1699C22—1721no—
1700C22—1721no—
1701C22—1721no—
1702C22—1721no—
1703C22—1721no—
1704C22—1721no—
1705C22—1721no—
1706C22—1721no—
1707C22—1721no—
1708C22—1721no—
1709C22—1721no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22#1458337314yes—
1716C22C23×C4×D4311yescharacteristic
1717C22H(5,𝔽2)×D4311yescharacteristic
1718C22C2×#1306337011yescharacteristic
1719C22C2×#1306337111yescharacteristic
1720C22C2×#1306337111yescharacteristic
1721C22#1458373411yescharacteristic
1722C22#1458373511yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—862no—
1736C4—862no—
1737C4—862no—
1738C4—862no—
1739C4—862no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4—1721no—
1744C4—1721no—
1745C4—1721no—
1746C4—1721no—
1747C2—24no—
1748C2—42no—
1749C2—42no—
1750C2—1722no—
1751C2—1722no—
1752C2—1722no—
1753C2—1722no—
1754C2C2×#1458337311yescharacteristic
1755C2#1914779911yescharacteristic
1756C2C4×#1306337011yescharacteristic
1757C2#1914878111yescharacteristic
1758C2#1914878811yescharacteristic
1759C2#1914892711yescharacteristic
1760C2#1914895111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2342C2
socle, cosocleC23×C43C25
prime radicalC2×#14583461C2
hypercenter#2342D43
hypocenterC43#34408
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #19137754C2semidirect
3. #19137749C2semidirect
4. #19137741C2semidirect
5. #19137735C2semidirect
6. #19137725C2semidirect
7. #19137633C2semidirect
8. #19137631C2semidirect
9. #19137577C2semidirect
10. #19137577C2semidirect
11. #19137573C2semidirect
12. #19137571C2semidirect
13. #19137571C2semidirect
14. #19137444C2semidirect
15. C22⋊C4×C22⋊D43C2semidirect
16. #19137411C2semidirect
17. #19137390C2semidirect
18. #19137378C2semidirect
19. #19137360C2semidirect
20. #19137357C2semidirect
21. #19137288C2semidirect
22. #19137284C2semidirect
23. #19137266C2semidirect
24. #19137263C2semidirect
25. #19137257C2semidirect
26. #19137248C2semidirect
27. #19137171C2semidirect
28. C4×#13063309C2semidirect
29. #19137114C2semidirect
30. C2×#14582799C2semidirect
31. C43×#2342C2semidirect
34. #14583461C4semidirect
47. C2×C4×D172C22semidirect
48. C2×C4×D172C22semidirect
49. C2×#13063287C22semidirect
50. C2×#13063287C22semidirect
55. C2×#13063284C22semidirect
56. C22×Dic43⋊C4C22semidirect
58. C22×(C2×D43)⋊C4C22semidirect
59. C22×(C2×D43)⋊C4C22semidirect
60. C2×C22⋊C4×D43C22semidirect
61. C2×C22⋊C4×D43C22semidirect
62. C2×C22⋊C4×D43C22semidirect
63. C2×C22⋊C4×D43C22semidirect
64. C22×C4×Dic43C22semidirect
65. #14582801C22semidirect
66. #14582801C22semidirect
67. #14582800C22semidirect
68. #14582800C22semidirect
73. #14582799C22semidirect
74. #14582799C22semidirect
75. #14582799C22semidirect
76. #14582799C22semidirect
77. #14582799C22semidirect
78. #14582799C22semidirect
79. #14582799C22semidirect
80. #14582799C22semidirect
81. #14582797C22semidirect
82. #14582797C22semidirect
83. #14582795C22semidirect
84. #14582795C22semidirect
85. #14582792C22semidirect
86. #14582792C22semidirect
87. #14582792C22semidirect
88. #14582792C22semidirect
89. #14582791C22semidirect
90. #14582791C22semidirect
91. #14582791C22semidirect
92. #14582791C22semidirect
93. #14582790C22semidirect
94. #14582790C22semidirect
95. #14582790C22semidirect
96. #14582790C22semidirect
97. #14582789C22semidirect
98. #14582789C22semidirect
99. #14582789C22semidirect
100. #14582789C22semidirect
101. #14582788C22semidirect
102. #14582788C22semidirect
103. #14582788C22semidirect
104. #14582788C22semidirect
105. #14582784C22semidirect
106. #14582784C22semidirect
107. #14582784C22semidirect
108. #14582784C22semidirect
109. #14582782C22semidirect
110. #14582782C22semidirect
111. #14582782C22semidirect
112. #14582782C22semidirect
115. #14582777C22semidirect
116. #14582777C22semidirect
117. #14582777C22semidirect
118. #14582777C22semidirect
119. #14582777C22semidirect
120. #14582777C22semidirect
121. #14582777C22semidirect
122. #14582777C22semidirect
129. #14582775C22semidirect
130. #14582775C22semidirect
131. #14582775C22semidirect
132. #14582775C22semidirect
133. #14582775C22semidirect
134. #14582775C22semidirect
135. #14582775C22semidirect
136. #14582775C22semidirect
137. #14582774C22semidirect
138. #14582774C22semidirect
139. #14582773C22semidirect
140. #14582773C22semidirect
141. #14582773C22semidirect
142. #14582773C22semidirect
143. #14582770C22semidirect
144. #14582770C22semidirect
145. #14582770C22semidirect
146. #14582770C22semidirect
147. #14582762C22semidirect
148. #14582760C22semidirect
149. #14582760C22semidirect
150. #14582759C22semidirect
151. #14582757C22semidirect
152. #14582757C22semidirect
154. #14582754C22semidirect
155. #14582754C22semidirect
156. C4⋊C4×Dic43C22semidirect
157. C4⋊C4×Dic43C22semidirect
158. C4×C4⋊Dic43C22semidirect
159. C4×C4⋊Dic43C22semidirect
160. C22⋊C4×Dic43C22semidirect
161. C22⋊C4×Dic43C22semidirect
162. C22⋊C4×Dic43C22semidirect
163. C22⋊C4×Dic43C22semidirect
164. C4×(C2×D43)⋊C4C22semidirect
165. C4×(C2×D43)⋊C4C22semidirect
166. C4×(C2×D43)⋊C4C22semidirect
167. C4×(C2×D43)⋊C4C22semidirect
168. C4×C22⋊Dic43C22semidirect
169. #14582746C22semidirect
170. #14582746C22semidirect
171. #14582746C22semidirect
172. #14582746C22semidirect
173. C2×#117×C43C22semidirect
176. C43×#388C22semidirect
177. C43×#388C22semidirect
178. C43×#388C22semidirect
179. C43×#388C22semidirect
180. C43×#385C22semidirect
181. C43×#385C22semidirect
182. C43×#381C22semidirect
183. C43×#380C22semidirect
185. C4×C22⋊C4×C43C22semidirect
186. C4×C22⋊C4×C43C22semidirect
187. C4×C22⋊C4×C43C22semidirect
198. C22×C22⋊D43C2×C4semidirect
199. C22×C22⋊D43C2×C4semidirect
220. #13063309C2×C4semidirect
221. #13063309C2×C4semidirect
222. #13063309C2×C4semidirect
223. #13063309C2×C4semidirect
224. #13063299C2×C4semidirect
225. #13063299C2×C4semidirect
226. #13063299C2×C4semidirect
227. #13063299C2×C4semidirect
228. #13063295C2×C4semidirect
229. #13063295C2×C4semidirect
230. #13063295C2×C4semidirect
231. #13063295C2×C4semidirect
355. C2×C22⋊C4×C43C2×C4semidirect
881. #2342D43semidirect
936. C2×#117C2×D43semidirect
988. #388C2×D43semidirect
989. #388C2×D43semidirect
990. #388C2×D43semidirect
991. #388C2×D43semidirect
1034. #385C2×D43semidirect
1035. #385C2×D43semidirect
1039. #381C2×D43semidirect
1043. #380C2×D43semidirect
1065. C4×C22⋊C4C2×D43semidirect
1066. C4×C22⋊C4C2×D43semidirect
1067. C4×C22⋊C4C2×D43semidirect
1068. C43#34408semidirect
1199. C2×C22⋊C4C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145834612
#191377542
#191377492
#191377412
#191377352
#191377252
#191376332
#191376312
#191375772
#191375732
#191375712
#191374442
C22⋊C4×C22⋊D432
#191374112
#191373902
#191373782
#191373602
#191373572
#191372882
#191372842
#191372662
#191372632
#191372572
#191372482
#191371712
C4×#130633092
#191371142
C2×#145827992
C43×#23422
#3440843