Finite Group Databasebeta

← #25262757

Subgroups — #25262757

Order 11008.

2488 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583641C211yesmaximal, characteristic
2#19137768C211yesmaximal, characteristic, complemented
3#19137767C211yesmaximal, characteristic, complemented
4#19137764C211yesmaximal, characteristic, complemented
5#19137669C211yesmaximal, characteristic, complemented
6#19137666C211yesmaximal, characteristic, complemented
7#19137664C211yesmaximal, characteristic, complemented
8#19137662C211yesmaximal, characteristic, complemented
9#19137661C211yesmaximal, characteristic, complemented
10#19137577C211yesmaximal, characteristic, complemented
11#19137577C211yesmaximal, characteristic, complemented
12#19137576C211yesmaximal, characteristic, complemented
13#19137573C211yesmaximal, characteristic, complemented
14#19137572C211yesmaximal, characteristic, complemented
15#19137571C211yesmaximal, characteristic, complemented
16#19137410C211yesmaximal, characteristic, complemented
17#19137409C211yesmaximal, characteristic, complemented
18#19137408C211yesmaximal, characteristic, complemented
19#19137408C211yesmaximal, characteristic, complemented
20#19137407C211yesmaximal, characteristic, complemented
21#19137403C211yesmaximal, characteristic, complemented
22#19137257C211yesmaximal, characteristic, complemented
23#19137254C211yesmaximal, characteristic, complemented
24#19137252C211yesmaximal, characteristic, complemented
25#19137249C211yesmaximal, characteristic, complemented
26#19137248C211yesmaximal, characteristic, complemented
27#19137248C211yesmaximal, characteristic, complemented
28C4×#13063314C211yesmaximal, characteristic, complemented
29#19137136C211yesmaximal, characteristic, complemented
30C4×#13063311C211yesmaximal, characteristic, complemented
31C43×#2367C211yesmaximal, characteristic, complemented
32#14583641C4116yescomplemented
33C2×#13063314C2211yescharacteristic
34C2×#13063314C2211yescharacteristic
35C2×#13063313C2211yescharacteristic
36C2×#13063313C2211yescharacteristic
37C2×#13063311C2211yescharacteristic
38C2×#13063311C2211yescharacteristic
39C2×#13063311C2211yescharacteristic
40C2×#13063311C2211yescharacteristic
41C2×#13063295C2211yescharacteristic
42C2×#13063295C2211yescharacteristic
43C2×#13063295C2211yescharacteristic
44C2×#13063295C2211yescharacteristic
45C2×#13063293C2211yescharacteristic
46C2×#13063293C2211yescharacteristic
47C2×C4×Dic86C2211yescharacteristic, complemented
48C2×#13063290C2211yescharacteristic, complemented
49C2×C4×D172C2211yescharacteristic
50C2×C4×D172C2211yescharacteristic
51C2×#13063287C2211yescharacteristic
52C2×#13063287C2211yescharacteristic
53C2×C4×C22⋊D43C2211yescharacteristic
54C2×(C22⋊D43)⋊C4C2211yescharacteristic
55C2×(C22⋊D43)⋊C4C2211yescharacteristic
56C2×(C22⋊D43)⋊C4C2211yescharacteristic
57C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
58C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
59C2×C22⋊C4×D43C2211yescharacteristic, complemented
60C2×C22⋊C4×D43C2211yescharacteristic, complemented
61C2×C22⋊C4×D43C2211yescharacteristic, complemented
62C2×C22⋊C4×D43C2211yescharacteristic, complemented
63#14582806C2211yescharacteristic, complemented
64#14582806C2211yescharacteristic, complemented
65#14582805C2211yescharacteristic, complemented
66#14582804C2211yescharacteristic, complemented
67#14582803C2211yescharacteristic, complemented
68#14582803C2211yescharacteristic, complemented
69#14582803C2211yescharacteristic, complemented
70#14582803C2211yescharacteristic, complemented
71#14582801C2211yescharacteristic
72#14582801C2211yescharacteristic
73#14582800C2211yescharacteristic
74#14582800C2211yescharacteristic
75#14582799C2211yescharacteristic
76#14582799C2211yescharacteristic
77#14582799C2211yescharacteristic
78#14582799C2211yescharacteristic
79#14582793C2211yescharacteristic, complemented
80#14582793C2211yescharacteristic, complemented
81#14582792C2211yescharacteristic, complemented
82#14582792C2211yescharacteristic, complemented
83#14582792C2211yescharacteristic, complemented
84#14582792C2211yescharacteristic, complemented
85#14582791C2211yescharacteristic, complemented
86#14582791C2211yescharacteristic, complemented
87#14582791C2211yescharacteristic, complemented
88#14582790C2211yescharacteristic, complemented
89#14582790C2211yescharacteristic, complemented
90#14582790C2211yescharacteristic, complemented
91#14582790C2211yescharacteristic, complemented
92#14582790C2211yescharacteristic, complemented
93#14582790C2211yescharacteristic, complemented
94#14582790C2211yescharacteristic, complemented
95#14582789C2211yescharacteristic, complemented
96#14582789C2211yescharacteristic, complemented
97#14582789C2211yescharacteristic, complemented
98#14582789C2211yescharacteristic, complemented
99#14582789C2211yescharacteristic, complemented
100#14582789C2211yescharacteristic, complemented
101#14582789C2211yescharacteristic, complemented
102#14582789C2211yescharacteristic, complemented
103#14582789C2211yescharacteristic, complemented
104#14582788C2211yescharacteristic, complemented
105#14582788C2211yescharacteristic, complemented
106#14582788C2211yescharacteristic, complemented
107#14582788C2211yescharacteristic, complemented
108#14582788C2211yescharacteristic, complemented
109#14582787C2211yescharacteristic, complemented
110#14582787C2211yescharacteristic, complemented
111#14582779C2211yescharacteristic
112#14582779C2211yescharacteristic
113#14582778C2211yescharacteristic
114#14582778C2211yescharacteristic
115#14582778C2211yescharacteristic
116#14582777C2211yescharacteristic
117#14582777C2211yescharacteristic
118#14582777C2211yescharacteristic
119#14582777C2211yescharacteristic
120#14582777C2211yescharacteristic
121#14582777C2211yescharacteristic
122#14582777C2211yescharacteristic
123#14582777C2211yescharacteristic
124#14582776C2211yescharacteristic
125#14582775C2211yescharacteristic
126#14582775C2211yescharacteristic
127#14582775C2211yescharacteristic
128#14582775C2211yescharacteristic
129#14582774C2211yescharacteristic, complemented
130#14582774C2211yescharacteristic, complemented
131#14582773C2211yescharacteristic, complemented
132#14582773C2211yescharacteristic, complemented
133#14582773C2211yescharacteristic, complemented
134#14582773C2211yescharacteristic, complemented
135#14582773C2211yescharacteristic, complemented
136#14582772C2211yescharacteristic, complemented
137#14582771C2211yescharacteristic, complemented
138#14582770C2211yescharacteristic, complemented
139#14582770C2211yescharacteristic, complemented
140#14582770C2211yescharacteristic, complemented
141#14582770C2211yescharacteristic, complemented
142#14582770C2211yescharacteristic, complemented
143#14582770C2211yescharacteristic, complemented
144#14582770C2211yescharacteristic, complemented
145#14582767C2211yescharacteristic, complemented
146#14582766C2211yescharacteristic, complemented
147#14582764C2211yescharacteristic, complemented
148#14582763C2211yescharacteristic, complemented
149#14582763C2211yescharacteristic, complemented
150#14582754C2211yescharacteristic, complemented
151#14582754C2211yescharacteristic, complemented
152C4⋊C4×Dic43C2211yescharacteristic, complemented
153C4×Dic43⋊C4C2211yescharacteristic, complemented
154C4×C4⋊Dic43C2211yescharacteristic, complemented
155#14582750C2211yescharacteristic, complemented
156C22⋊C4×Dic43C2211yescharacteristic, complemented
157C22⋊C4×Dic43C2211yescharacteristic, complemented
158C22⋊C4×Dic43C2211yescharacteristic, complemented
159C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D43)⋊C4C2211yescharacteristic, 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
172C42×Dic43C2211yescharacteristic, complemented
173C2×#124×C43C2211yescharacteristic
174C2×C4×Q8×C43C2211yescharacteristic, complemented
175C2×C4×D4×C43C2211yescharacteristic
176C43×#391C2211yescharacteristic, complemented
177C43×#390C2211yescharacteristic
178C43×#388C2211yescharacteristic, complemented
179C43×#388C2211yescharacteristic, complemented
180C43×#388C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#385C2211yescharacteristic, complemented
183C43×#385C2211yescharacteristic, complemented
184C4×C4⋊C4×C43C2211yescharacteristic, complemented
185C4×C4⋊C4×C43C2211yescharacteristic, complemented
186C4×C22⋊C4×C43C2211yescharacteristic, complemented
187C4×C22⋊C4×C43C2211yescharacteristic, complemented
188C24×D43C2311yescharacteristic
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×Dic86C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C23×Dic43C2311yescharacteristic
201C23×Dic43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210#13063314C2×C418yescomplemented
211#13063314C2×C418yescomplemented
212#13063313C2×C418yescomplemented
213#13063313C2×C418yescomplemented
214#13063311C2×C418yescomplemented
215#13063311C2×C418yescomplemented
216#13063311C2×C418yescomplemented
217#13063311C2×C418yescomplemented
218#13063295C2×C418yescomplemented
219#13063295C2×C418yescomplemented
220#13063295C2×C418yescomplemented
221#13063295C2×C418yescomplemented
222#13063293C2×C418yescomplemented
223#13063293C2×C418yescomplemented
224C4×Dic86—42no—
225#13063290—42no—
226C4×D172—42no—
227C4×D172—42no—
228#13063287—42no—
229#13063287—42no—
230C4×C22⋊D43—42no—
231(C22⋊D43)⋊C4—42no—
232(C22⋊D43)⋊C4—42no—
233(C22⋊D43)⋊C4—42no—
234C2×C4⋊Dic43C2311yescharacteristic
235C2×C4⋊Dic43C2311yescharacteristic
236C2×C4⋊Dic43C2311yescharacteristic
237C2×C4⋊Dic43C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×(C2×D43)⋊C4—42no—
255C2×(C2×D43)⋊C4—42no—
256C2×(C2×D43)⋊C4C2311yescharacteristic
257C2×(C2×D43)⋊C4C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
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
292C22⋊C4×D43—42no—
293C22⋊C4×D43—42no—
294C22⋊C4×D43—42no—
295C22⋊C4×D43—42no—
296C2×C4×Dic43C2311yescharacteristic
297C2×C4×Dic43C2311yescharacteristic
298C2×C4×Dic43C2311yescharacteristic
299C2×C4×Dic43C2311yescharacteristic
300C2×C4×Dic43C2311yescharacteristic
301C2×C4×Dic43C2311yescharacteristic
302C2×C4×Dic43C2311yescharacteristic
303C2×C4×Dic43C2311yescharacteristic
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C2×C4×Dic43C2311yescharacteristic
309C2×C4×Dic43C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
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
338C22×Q8×C43C2311yescharacteristic
339C22×D4×C43C2311yescharacteristic
340C23×C4×C43C2311yescharacteristic
341C23×C4×C43C2311yescharacteristic
342#124×C43C2×C418yescomplemented
343C4×Q8×C43—42no—
344C4×D4×C43—42no—
345C2×C4⋊C4×C43C2311yescharacteristic
346C2×C4⋊C4×C43C2311yescharacteristic
347C2×C4⋊C4×C43C2311yescharacteristic
348C2×C4⋊C4×C43C2311yescharacteristic
349C2×C4⋊C4×C43C2311yescharacteristic
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C22⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C42×C43C2311yescharacteristic
362C2×C42×C43C2311yescharacteristic
363C2×C42×C43C2311yescharacteristic
364C2×C42×C43C2311yescharacteristic
365C2×C42×C43C2311yescharacteristic
366C2×C42×C43C2311yescharacteristic
367C2×C42×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376C24×C43C2411yescharacteristic
377C24×C43C2411yescharacteristic
378C23×D43—41no—
379C23×D43—41no—
380C23×D43—41no—
381C23×D43—41no—
382C23×D43—41no—
383C23×D43—41no—
384C23×D43—41no—
385C23×D43—41no—
386C23×D43—41no—
387C23×D43—41no—
388C23×D43—41no—
389C23×D43—41no—
390C23×D43C22×C414yes—
391C23×D43C22×C414yes—
392C23×D43C2411yescharacteristic
393C23×D43C2411yescharacteristic
394C23×D43C2411yescharacteristic
395C23×D43C2411yescharacteristic
396C2×Q8×C43—41no—
397C2×Q8×C43—41no—
398C2×Q8×C43C22×C414yes—
399C2×D4×C43—41no—
400C2×D4×C43—41no—
401C2×D4×C43C22×C414yes—
402C22×C4×C43—22no—
403C22×C4×C43—41no—
404C22×C4×C43—41no—
405C22×C4×C43—41no—
406C22×C4×C43—41no—
407C22×C4×C43—41no—
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C2×C22⋊D43—41no—
422C2×C22⋊D43—41no—
423C2×C22⋊D43—41no—
424C2×C22⋊D43—41no—
425C2×C22⋊D43—41no—
426C2×C22⋊D43—41no—
427C2×C22⋊D43—41no—
428C2×C22⋊D43—41no—
429C2×C22⋊D43C22×C414yes—
430C2×C22⋊D43C22×C414yes—
431C2×C22⋊D43C22×C414yes—
432C2×C22⋊D43C22×C414yes—
433C22×Dic43—22no—
434C22×Dic43—41no—
435C22×Dic43—41no—
436C22×Dic43—41no—
437C22×Dic43—41no—
438C22×Dic43—41no—
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C2×D172—41no—
452C2×D172—41no—
453C2×D172—41no—
454C2×D172—41no—
455C2×D172—41no—
456C2×D172—41no—
457C2×D172—41no—
458C2×D172—41no—
459C2×D172C22×C414yes—
460C2×D172C22×C414yes—
461C2×D172C22×C414yes—
462C2×D172C22×C414yes—
463C2×C4×D43—22no—
464C2×C4×D43—22no—
465C2×C4×D43—22no—
466C2×C4×D43—22no—
467C2×C4×D43—41no—
468C2×C4×D43—41no—
469C2×C4×D43—41no—
470C2×C4×D43—41no—
471C2×C4×D43—41no—
472C2×C4×D43—41no—
473C2×C4×D43—41no—
474C2×C4×D43—41no—
475C2×C4×D43—41no—
476C2×C4×D43—41no—
477C2×C4×D43—41no—
478C2×C4×D43—41no—
479C2×C4×D43—41no—
480C2×C4×D43—41no—
481C2×C4×D43—41no—
482C2×C4×D43—41no—
483C2×C4×D43—41no—
484C2×C4×D43—41no—
485C2×C4×D43—41no—
486C2×C4×D43—41no—
487C2×Dic86—41no—
488C2×Dic86—41no—
489C2×Dic86—41no—
490C2×Dic86—41no—
491C2×Dic86C22×C414yes—
492C2×Dic86C22×C414yes—
493C4⋊C4×C43—22no—
494C4⋊C4×C43—22no—
495C4⋊C4×C43—22no—
496C4⋊C4×C43—41no—
497C4⋊C4×C43—41no—
498C4⋊C4×C43—41no—
499C22⋊C4×C43—22no—
500C22⋊C4×C43—22no—
501C22⋊C4×C43—22no—
502C22⋊C4×C43—41no—
503C22⋊C4×C43—41no—
504C22⋊C4×C43—41no—
505C22⋊C4×C43C22×C414yes—
506C22⋊C4×C43C22×C414yes—
507C22⋊C4×C43C22×C414yes—
508C22⋊C4×C43C22×C414yes—
509C42×C43—22no—
510C42×C43—41no—
511C42×C43—41no—
512C42×C43—41no—
513C42×C43—41no—
514C42×C43—41no—
515C42×C43C22×C414yes—
516C22⋊Dic43—22no—
517C22⋊Dic43—41no—
518C22⋊Dic43—41no—
519C22⋊Dic43—41no—
520C22⋊Dic43—41no—
521C22⋊Dic43—41no—
522C22⋊Dic43C22×C414yes—
523C22⋊Dic43C22×C414yes—
524(C2×D43)⋊C4—22no—
525(C2×D43)⋊C4—22no—
526(C2×D43)⋊C4—22no—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—22no—
532(C2×D43)⋊C4—41no—
533(C2×D43)⋊C4—41no—
534(C2×D43)⋊C4—41no—
535(C2×D43)⋊C4—41no—
536(C2×D43)⋊C4—41no—
537(C2×D43)⋊C4—41no—
538(C2×D43)⋊C4—41no—
539(C2×D43)⋊C4—41no—
540(C2×D43)⋊C4—41no—
541(C2×D43)⋊C4—41no—
542(C2×D43)⋊C4—41no—
543(C2×D43)⋊C4—41no—
544(C2×D43)⋊C4—41no—
545(C2×D43)⋊C4—41no—
546(C2×D43)⋊C4—41no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4C22×C414yes—
549(C2×D43)⋊C4C22×C414yes—
550(C2×D43)⋊C4C22×C414yes—
551(C2×D43)⋊C4C22×C414yes—
552(C2×D43)⋊C4C22×C414yes—
553(C2×D43)⋊C4C22×C414yes—
554(C2×D43)⋊C4C22×C414yes—
555(C2×D43)⋊C4C22×C414yes—
556(C2×D43)⋊C4C22×C414yes—
557(C2×D43)⋊C4C22×C414yes—
558(C2×D43)⋊C4C22×C414yes—
559(C2×D43)⋊C4C22×C414yes—
560C4⋊Dic43—22no—
561C4⋊Dic43—41no—
562C4⋊Dic43—41no—
563C4⋊Dic43—41no—
564Dic43⋊C4—22no—
565Dic43⋊C4—22no—
566Dic43⋊C4—41no—
567Dic43⋊C4—41no—
568Dic43⋊C4—41no—
569Dic43⋊C4—41no—
570Dic43⋊C4—41no—
571Dic43⋊C4—41no—
572C4×Dic43—22no—
573C4×Dic43—22no—
574C4×Dic43—41no—
575C4×Dic43—41no—
576C4×Dic43—41no—
577C4×Dic43—41no—
578C4×Dic43—41no—
579C4×Dic43—41no—
580C4×Dic43—41no—
581C4×Dic43—41no—
582C4×Dic43—41no—
583C4×Dic43—41no—
584C4×Dic43C22×C414yes—
585C4×Dic43C22×C414yes—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43C23×C412yes—
599C23×C43C23×C412yes—
600C23×C43C2511yescharacteristic
601C22×D43—21no—
602C22×D43—21no—
603C22×D43—21no—
604C22×D43—21no—
605C22×D43—21no—
606C22×D43—21no—
607C22×D43—21no—
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—44no—
626C22×D43—44no—
627C22×D43—44no—
628C22×D43—44no—
629C22×D43—44no—
630C22×D43—44no—
631C22×D43—82no—
632C22×D43—82no—
633C22×D43—82no—
634C22×D43—82no—
635C22×D43—82no—
636C22×D43—82no—
637C22×D43—82no—
638C22×D43—82no—
639C22×D43C23×C412yes—
640C22×D43C23×C412yes—
641C22×D43C23×C412yes—
642C22×D43C23×C412yes—
643Q8×C43—44no—
644D4×C43—44no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—82no—
678C2×C4×C43—82no—
679C2×C4×C43C23×C412yes—
680C2×C4×C43C23×C412yes—
681C2×C4×C43C23×C412yes—
682C2×C4×C43C23×C412yes—
683C2×C4×C43C23×C412yes—
684C2×C4×C43H(5,𝔽2)12yes—
685C2×C4×C43H(5,𝔽2)12yes—
686C22⋊D43—44no—
687C22⋊D43—44no—
688C22⋊D43—44no—
689C22⋊D43—44no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—82no—
722C2×Dic43—82no—
723C2×Dic43C23×C412yes—
724C2×Dic43C23×C412yes—
725C2×Dic43C23×C412yes—
726C2×Dic43C23×C412yes—
727C2×Dic43H(5,𝔽2)12yes—
728D172—44no—
729D172—44no—
730D172—44no—
731D172—44no—
732C4×D43—82no—
733C4×D43—82no—
734C4×D43—82no—
735C4×D43—82no—
736C4×D43—82no—
737C4×D43—82no—
738C4×D43—82no—
739C4×D43—82no—
740Dic86—44no—
741Dic86—44no—
742#34529—431nomaximal, Sylow
743C22×C43—22no—
744C22×C43—22no—
745C22×C43—22no—
746C22×C43—22no—
747C22×C43—22no—
748C22×C43—22no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43C24×C411yescharacteristic
758C22×C43C2×H(5,𝔽2)11yescharacteristic
759C22×C43C2×H(5,𝔽2)11yescharacteristic
760C22×C43C2×H(5,𝔽2)11yescharacteristic
761C22×C43#58511yescharacteristic
762C22×C43#58511yescharacteristic
763C22×C43#58511yescharacteristic
764C2×D43—22no—
765C2×D43—22no—
766C2×D43—22no—
767C2×D43—22no—
768C2×D43—22no—
769C2×D43—22no—
770C2×D43—22no—
771C2×D43—22no—
772C2×D43—22no—
773C2×D43—22no—
774C2×D43—22no—
775C2×D43—22no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—41no—
781C2×D43—41no—
782C2×D43—41no—
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—88no—
793C2×D43—88no—
794C4×C43—22no—
795C4×C43—22no—
796C4×C43—22no—
797C4×C43—22no—
798C4×C43—22no—
799C4×C43—22no—
800C4×C43—22no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807Dic43—22no—
808Dic43—22no—
809Dic43—22no—
810Dic43—22no—
811Dic43—22no—
812Dic43—41no—
813Dic43—41no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819C2×H(3,𝔽4)—431no—
820#2379—431no—
821#2379—431no—
822#2379—431no—
823#2367—431no—
824#2367—431no—
825#2367—431no—
826#2367—431no—
827#2367—431no—
828#2367D4311yescharacteristic, complemented
829#2358—431no—
830#2358—431no—
831#2358—431no—
832#2358—431no—
833#2358—431no—
834#2358—431no—
835#2337—431no—
836#2337—431no—
837#2337—431no—
838#2337—431no—
839#2337—431no—
840#2337—431no—
841#2321—431no—
842#2321—431no—
843#2321—431no—
844#2321—431no—
845#2321—431no—
846#2321—431no—
847C4×#124—431no—
848C4×#124—431no—
849C4×#124—431no—
850C2×C43—42no—
851C2×C43—42no—
852C2×C43C4×H(5,𝔽2)11yescharacteristic
853C2×C43C4×H(5,𝔽2)11yescharacteristic
854C2×C43C4×H(5,𝔽2)11yescharacteristic
855C2×C43#355811yescharacteristic
856C2×C43#355811yescharacteristic
857C2×C43#355811yescharacteristic
858C2×C43#356811yescharacteristic
859D43—42no—
860D43—42no—
861D43—42no—
862D43—42no—
863H(3,𝔽4)—4316no—
864C2×#124—431no—
865C2×#124—431no—
866C2×#124—431no—
867C2×#124—431no—
868C2×#124—431no—
869C2×#124—431no—
870C2×#124—431no—
871C2×#124—431no—
872C2×#124C2×D4311yescharacteristic
873C2×#120—431no—
874C2×#120—431no—
875C2×#120—431no—
876C2×#120—431no—
877C2×#120—431no—
878C2×#120—431no—
879C2×C4×Q8—431no—
880C2×C4×Q8—431no—
881C2×C4×Q8C2×D4311yescharacteristic, complemented
882C2×C4×D4—431no—
883C2×C4×D4—431no—
884C2×C4×D4—431no—
885C2×C4×D4—431no—
886C2×C4×D4—431no—
887C2×C4×D4—431no—
888C2×C4×D4—431no—
889C2×C4×D4—431no—
890C2×C4×D4C2×D4311yescharacteristic
891C22×C22⋊C4—431no—
892C22×C22⋊C4—431no—
893C22×C22⋊C4—431no—
894C22×C22⋊C4—431no—
895C22×C22⋊C4—431no—
896C22×C22⋊C4—431no—
897#391—431no—
898#391—431no—
899#391—431no—
900#391—431no—
901#391—431no—
902#391—431no—
903#391—431no—
904#391—431no—
905#391C2×D4311yescharacteristic, complemented
906#390—431no—
907#390—431no—
908#390—431no—
909#390—431no—
910#390—431no—
911#390—431no—
912#390—431no—
913#390—431no—
914#390C2×D4311yescharacteristic
915#388—431no—
916#388—431no—
917#388—431no—
918#388—431no—
919#388—431no—
920#388—431no—
921#388—431no—
922#388—431no—
923#388—431no—
924#388—431no—
925#388—431no—
926#388—431no—
927#388—431no—
928#388—431no—
929#388—431no—
930#388—431no—
931#388—431no—
932#388—431no—
933#388—431no—
934#388—431no—
935#388—431no—
936#388—431no—
937#388—431no—
938#388—431no—
939#388—431no—
940#388—431no—
941#388—431no—
942#388—431no—
943#388—431no—
944#388—431no—
945#388—431no—
946#388—431no—
947#388C2×D4311yescharacteristic, complemented
948#388C2×D4311yescharacteristic, complemented
949#388C2×D4311yescharacteristic, complemented
950#388C2×D4311yescharacteristic, complemented
951#386—431no—
952#386—431no—
953#386—431no—
954#386—431no—
955#386—431no—
956#386—431no—
957#386—431no—
958#386—431no—
959#386—431no—
960#386—431no—
961#386—431no—
962#386—431no—
963#386—431no—
964#386—431no—
965#386—431no—
966#386—431no—
967#386—431no—
968#386—431no—
969#385—431no—
970#385—431no—
971#385—431no—
972#385—431no—
973#385—431no—
974#385—431no—
975#385—431no—
976#385—431no—
977#385—431no—
978#385—431no—
979#385—431no—
980#385—431no—
981#385—431no—
982#385—431no—
983#385—431no—
984#385—431no—
985#385C2×D4311yescharacteristic, complemented
986#385C2×D4311yescharacteristic, complemented
987#383—431no—
988#383—431no—
989#382—431no—
990#382—431no—
991#382—431no—
992#379—431no—
993#379—431no—
994C4×C4⋊C4—431no—
995C4×C4⋊C4—431no—
996C4×C4⋊C4—431no—
997C4×C4⋊C4—431no—
998C4×C4⋊C4C2×D4311yescharacteristic, complemented
999C4×C4⋊C4C2×D4311yescharacteristic, complemented
1000C4×C22⋊C4—431no—
1001C4×C22⋊C4—431no—
1002C4×C22⋊C4—431no—
1003C4×C22⋊C4—431no—
1004C4×C22⋊C4—431no—
1005C4×C22⋊C4—431no—
1006C4×C22⋊C4—431no—
1007C4×C22⋊C4—431no—
1008C4×C22⋊C4—431no—
1009C4×C22⋊C4—431no—
1010C4×C22⋊C4—431no—
1011C4×C22⋊C4—431no—
1012C4×C22⋊C4—431no—
1013C4×C22⋊C4—431no—
1014C4×C22⋊C4—431no—
1015C4×C22⋊C4—431no—
1016C4×C22⋊C4C2×D4311yescharacteristic, complemented
1017C4×C22⋊C4C2×D4311yescharacteristic, complemented
1018C43—431no—
1019C43#3452911yescharacteristic, complemented, Sylow
1020C25—431no—
1021C25—431no—
1022C22×Q8—431no—
1023C22×Q8—431no—
1024C22×Q8C22×D4311yescharacteristic
1025C22×D4—431no—
1026C22×D4—431no—
1027C22×D4—431no—
1028C22×D4—431no—
1029C22×D4—431no—
1030C22×D4—431no—
1031C22×D4—431no—
1032C22×D4—431no—
1033C22×D4C22×D4311yescharacteristic
1034C23×C4—431no—
1035C23×C4—431no—
1036C23×C4—431no—
1037C23×C4—431no—
1038C23×C4—431no—
1039C23×C4—431no—
1040C23×C4—431no—
1041C23×C4—431no—
1042C23×C4—431no—
1043C23×C4—431no—
1044C23×C4C22×D4311yescharacteristic
1045C23×C4C22×D4311yescharacteristic
1046#124—438no—
1047#124—438no—
1048#124—438no—
1049#124—438no—
1050#124—438no—
1051#124—438no—
1052#124—438no—
1053#124—438no—
1054#124C4×D4318yescomplemented
1055#120—438no—
1056#120—438no—
1057#120—438no—
1058#120—438no—
1059#120—438no—
1060#120—438no—
1061C4×Q8—42no—
1062C4×Q8—1722no—
1063C4×Q8—1722no—
1064C4×D4—42no—
1065C4×D4—1722no—
1066C4×D4—1722no—
1067C4×D4—1722no—
1068C4×D4—1722no—
1069C4×D4—1722no—
1070C4×D4—1722no—
1071C4×D4—1722no—
1072C4×D4—1722no—
1073C2×C4⋊C4—431no—
1074C2×C4⋊C4—431no—
1075C2×C4⋊C4—431no—
1076C2×C4⋊C4—431no—
1077C2×C4⋊C4—431no—
1078C2×C4⋊C4—431no—
1079C2×C4⋊C4—431no—
1080C2×C4⋊C4—431no—
1081C2×C4⋊C4—431no—
1082C2×C4⋊C4—431no—
1083C2×C4⋊C4—431no—
1084C2×C4⋊C4—431no—
1085C2×C4⋊C4C22×D4311yescharacteristic
1086C2×C4⋊C4C22×D4311yescharacteristic
1087C2×C4⋊C4C22×D4311yescharacteristic
1088C2×C4⋊C4C22×D4311yescharacteristic
1089C2×C4⋊C4C22×D4311yescharacteristic
1090C2×C4⋊C4C22×D4311yescharacteristic
1091C2×C22⋊C4—431no—
1092C2×C22⋊C4—431no—
1093C2×C22⋊C4—431no—
1094C2×C22⋊C4—431no—
1095C2×C22⋊C4—431no—
1096C2×C22⋊C4—431no—
1097C2×C22⋊C4—431no—
1098C2×C22⋊C4—431no—
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—431no—
1104C2×C22⋊C4—431no—
1105C2×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—431no—
1132C2×C22⋊C4—431no—
1133C2×C22⋊C4—431no—
1134C2×C22⋊C4—431no—
1135C2×C22⋊C4—1722no—
1136C2×C22⋊C4—1722no—
1137C2×C22⋊C4—1722no—
1138C2×C22⋊C4—1722no—
1139C2×C22⋊C4—1722no—
1140C2×C22⋊C4—1722no—
1141C2×C22⋊C4C22×D4311yescharacteristic
1142C2×C22⋊C4C22×D4311yescharacteristic
1143C2×C22⋊C4C22×D4311yescharacteristic
1144C2×C22⋊C4C22×D4311yescharacteristic
1145C2×C22⋊C4C22×D4311yescharacteristic
1146C2×C22⋊C4C22×D4311yescharacteristic
1147C2×C22⋊C4C22×D4311yescharacteristic
1148C2×C22⋊C4C22×D4311yescharacteristic
1149C2×C22⋊C4C22×D4311yescharacteristic
1150C2×C22⋊C4C22×D4311yescharacteristic
1151C2×C42—431no—
1152C2×C42—431no—
1153C2×C42—431no—
1154C2×C42—431no—
1155C2×C42—431no—
1156C2×C42—431no—
1157C2×C42—431no—
1158C2×C42—431no—
1159C2×C42—431no—
1160C2×C42—431no—
1161C2×C42—431no—
1162C2×C42—431no—
1163C2×C42—431no—
1164C2×C42—431no—
1165C2×C42C22×D4311yescharacteristic
1166C2×C42C22×D4311yescharacteristic
1167C2×C42C22×D4311yescharacteristic
1168C2×C42C22×D4311yescharacteristic
1169C2×C42C22×D4311yescharacteristic
1170C2×C42C22×D4311yescharacteristic
1171C2×C42C22×D4311yescharacteristic
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95—431no—
1181#95—431no—
1182#95—431no—
1183#95—431no—
1184#95—431no—
1185#95—431no—
1186#95—431no—
1187#95—431no—
1188#95—431no—
1189#95—431no—
1190#95—431no—
1191#95—431no—
1192#95—431no—
1193#95—431no—
1194#95—431no—
1195#95—431no—
1196#95—431no—
1197#95—431no—
1198#95—431no—
1199#95—431no—
1200#95C22×D4311yescharacteristic
1201#95C22×D4311yescharacteristic
1202#95C22×D4311yescharacteristic
1203#95C22×D4311yescharacteristic
1204#95C22×D4311yescharacteristic
1205#95C22×D4311yescharacteristic
1206#95C22×D4311yescharacteristic
1207#95C22×D4311yescharacteristic
1208C24—431no—
1209C24—431no—
1210C24—431no—
1211C24—431no—
1212C24—434no—
1213C24—434no—
1214C24—1721no—
1215C24—1721no—
1216C24—1721no—
1217C24—1721no—
1218C24—1721no—
1219C24—1721no—
1220C24—1721no—
1221C24—1721no—
1222C24—1721no—
1223C24—1721no—
1224C24—1721no—
1225C24—1721no—
1226C24C23×D4311yescharacteristic
1227C24C23×D4311yescharacteristic
1228C2×Q8—41no—
1229C2×Q8—41no—
1230C2×Q8—434no—
1231C2×Q8—434no—
1232C2×Q8—1721no—
1233C2×Q8—1721no—
1234C2×Q8—1721no—
1235C2×Q8—1721no—
1236C2×Q8C2×C4×D4314yes—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—434no—
1240C2×D4—434no—
1241C2×D4—434no—
1242C2×D4—434no—
1243C2×D4—434no—
1244C2×D4—434no—
1245C2×D4—434no—
1246C2×D4—434no—
1247C2×D4—1721no—
1248C2×D4—1721no—
1249C2×D4—1721no—
1250C2×D4—1721no—
1251C2×D4—1721no—
1252C2×D4—1721no—
1253C2×D4—1721no—
1254C2×D4—1721no—
1255C2×D4—1721no—
1256C2×D4—1721no—
1257C2×D4—1721no—
1258C2×D4—1721no—
1259C2×D4—1721no—
1260C2×D4—1721no—
1261C2×D4—1721no—
1262C2×D4—1721no—
1263C2×D4C2×C4×D4314yes—
1264C22×C4—22no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—431no—
1271C22×C4—431no—
1272C22×C4—431no—
1273C22×C4—431no—
1274C22×C4—431no—
1275C22×C4—431no—
1276C22×C4—431no—
1277C22×C4—431no—
1278C22×C4—431no—
1279C22×C4—431no—
1280C22×C4—431no—
1281C22×C4—431no—
1282C22×C4—862no—
1283C22×C4—862no—
1284C22×C4—862no—
1285C22×C4—862no—
1286C22×C4—862no—
1287C22×C4—1721no—
1288C22×C4—1721no—
1289C22×C4—1721no—
1290C22×C4—1721no—
1291C22×C4—1721no—
1292C22×C4—1721no—
1293C22×C4—1721no—
1294C22×C4—1721no—
1295C22×C4—1721no—
1296C22×C4—1721no—
1297C22×C4—1721no—
1298C22×C4—1721no—
1299C22×C4—1721no—
1300C22×C4—1721no—
1301C22×C4—1721no—
1302C22×C4—1721no—
1303C22×C4—1721no—
1304C22×C4—1721no—
1305C22×C4—1721no—
1306C22×C4—1721no—
1307C22×C4—1721no—
1308C22×C4—1721no—
1309C22×C4—1721no—
1310C22×C4—1721no—
1311C22×C4—1721no—
1312C22×C4C23×D4311yescharacteristic
1313C22×C4C23×D4311yescharacteristic
1314C22×C4C23×D4311yescharacteristic
1315C22×C4C23×D4311yescharacteristic
1316C22×C4C23×D4311yescharacteristic
1317C22×C4C23×D4311yescharacteristic
1318C22×C4C23×D4311yescharacteristic
1319C22×C4C23×D4311yescharacteristic
1320C22×C4C23×D4311yescharacteristic
1321C22×C4C23×D4311yescharacteristic
1322C22×C4C23×D4311yescharacteristic
1323C22×C4C23×D4311yescharacteristic
1324C22×C4C23×D4311yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—862no—
1332C4⋊C4—862no—
1333C4⋊C4—862no—
1334C4⋊C4—1721no—
1335C4⋊C4—1721no—
1336C4⋊C4—1721no—
1337C4⋊C4—1721no—
1338C4⋊C4—1721no—
1339C4⋊C4—1721no—
1340C4⋊C4—1721no—
1341C4⋊C4—1721no—
1342C4⋊C4—1721no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—434no—
1350C22⋊C4—434no—
1351C22⋊C4—434no—
1352C22⋊C4—434no—
1353C22⋊C4—434no—
1354C22⋊C4—434no—
1355C22⋊C4—434no—
1356C22⋊C4—434no—
1357C22⋊C4—434no—
1358C22⋊C4—434no—
1359C22⋊C4—434no—
1360C22⋊C4—434no—
1361C22⋊C4—434no—
1362C22⋊C4—434no—
1363C22⋊C4—862no—
1364C22⋊C4—862no—
1365C22⋊C4—862no—
1366C22⋊C4—862no—
1367C22⋊C4—862no—
1368C22⋊C4—862no—
1369C22⋊C4—862no—
1370C22⋊C4—862no—
1371C22⋊C4—862no—
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⋊C4—1721no—
1388C22⋊C4—1721no—
1389C22⋊C4—1721no—
1390C22⋊C4—1721no—
1391C22⋊C4—1721no—
1392C22⋊C4—1721no—
1393C22⋊C4C2×C4×D4314yes—
1394C22⋊C4C2×C4×D4314yes—
1395C22⋊C4C2×C4×D4314yes—
1396C22⋊C4C2×C4×D4314yes—
1397C42—22no—
1398C42—41no—
1399C42—41no—
1400C42—41no—
1401C42—41no—
1402C42—41no—
1403C42—434no—
1404C42—434no—
1405C42—862no—
1406C42—862no—
1407C42—1721no—
1408C42—1721no—
1409C42—1721no—
1410C42—1721no—
1411C42—1721no—
1412C42—1721no—
1413C42—1721no—
1414C42—1721no—
1415C42—1721no—
1416C42—1721no—
1417C42C2×C4×D4314yes—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—432no—
1431C23—432no—
1432C23—432no—
1433C23—432no—
1434C23—861no—
1435C23—861no—
1436C23—861no—
1437C23—861no—
1438C23—861no—
1439C23—861no—
1440C23—861no—
1441C23—861no—
1442C23—861no—
1443C23—861no—
1444C23—861no—
1445C23—861no—
1446C23—861no—
1447C23—861no—
1448C23—861no—
1449C23—861no—
1450C23—861no—
1451C23—861no—
1452C23—861no—
1453C23—861no—
1454C23—861no—
1455C23—861no—
1456C23—861no—
1457C23—861no—
1458C23—3442no—
1459C23—3442no—
1460C23—3442no—
1461C23—3442no—
1462C23—3442no—
1463C23—3442no—
1464C23—3442no—
1465C23—3442no—
1466C23—1724no—
1467C23—1724no—
1468C23—1724no—
1469C23—1724no—
1470C23—1724no—
1471C23—1724no—
1472C23C22×C4×D4312yes—
1473C23C22×C4×D4312yes—
1474C23C24×D4311yescharacteristic
1475Q8—44no—
1476Q8—1724no—
1477Q8—1724no—
1478D4—44no—
1479D4—1724no—
1480D4—1724no—
1481D4—1724no—
1482D4—1724no—
1483D4—1724no—
1484D4—1724no—
1485D4—1724no—
1486D4—1724no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—82no—
1520C2×C4—82no—
1521C2×C4—432no—
1522C2×C4—432no—
1523C2×C4—432no—
1524C2×C4—432no—
1525C2×C4—432no—
1526C2×C4—861no—
1527C2×C4—861no—
1528C2×C4—861no—
1529C2×C4—861no—
1530C2×C4—861no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—861no—
1540C2×C4—861no—
1541C2×C4—861no—
1542C2×C4—861no—
1543C2×C4—861no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—3442no—
1558C2×C4—3442no—
1559C2×C4—3442no—
1560C2×C4—3442no—
1561C2×C4—3442no—
1562C2×C4—3442no—
1563C2×C4—3442no—
1564C2×C4—3442no—
1565C2×C4—3442no—
1566C2×C4—3442no—
1567C2×C4C22×C4×D4312yes—
1568C2×C4C22×C4×D4312yes—
1569C2×C4C22×C4×D4312yes—
1570C2×C4C22×C4×D4312yes—
1571C2×C4C22×C4×D4312yes—
1572C2×C4#1306337012yes—
1573C2×C4#1306337112yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—862no—
1589C22—862no—
1590C22—862no—
1591C22—862no—
1592C22—862no—
1593C22—862no—
1594C22—862no—
1595C22—862no—
1596C22—862no—
1597C22—862no—
1598C22—862no—
1599C22—862no—
1600C22—3448no—
1601C22—3448no—
1602C22—1721no—
1603C22—1721no—
1604C22—1721no—
1605C22—1721no—
1606C22—1721no—
1607C22—1721no—
1608C22—1721no—
1609C22—1721no—
1610C22—1721no—
1611C22—1721no—
1612C22—1721no—
1613C22—1721no—
1614C22—1721no—
1615C22—1721no—
1616C22—1721no—
1617C22—1721no—
1618C22C23×C4×D4311yescharacteristic
1619C22H(5,𝔽2)×D4311yescharacteristic
1620C22C2×#1306337011yescharacteristic
1621C22C2×#1306337111yescharacteristic
1622C22#1458373511yescharacteristic
1623C22#1458373511yescharacteristic
1624C22#1458373611yescharacteristic
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—862no—
1639C4—862no—
1640C4—862no—
1641C4—862no—
1642C4—862no—
1643C4—1721no—
1644C4—1721no—
1645C4—1721no—
1646C4—1721no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C2—42no—
1651C2—42no—
1652C2—1722no—
1653C2—1722no—
1654C2—1722no—
1655C2—1722no—
1656C2C4×#1306337011yescharacteristic
1657C2#1914780111yescharacteristic
1658C2C4×#1306337111yescharacteristic
1659C2#1914910511yescharacteristic
1660C2#1914911211yescharacteristic
1661C2#1914911511yescharacteristic
1662C2#1914929011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2367C2
socle, cosocleC23×C43C25
prime radicalC2×#14583641C2
hypercenter#2367D43
hypocenterC43#34529
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2367

Complements

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

NH ≅ G/Ntype
2. #19137768C2semidirect
3. #19137767C2semidirect
4. #19137764C2semidirect
5. #19137669C2semidirect
6. #19137666C2semidirect
7. #19137664C2semidirect
8. #19137662C2semidirect
9. #19137661C2semidirect
10. #19137577C2semidirect
11. #19137577C2semidirect
12. #19137576C2semidirect
13. #19137573C2semidirect
14. #19137572C2semidirect
15. #19137571C2semidirect
16. #19137410C2semidirect
17. #19137409C2semidirect
18. #19137408C2semidirect
19. #19137408C2semidirect
20. #19137407C2semidirect
21. #19137403C2semidirect
22. #19137257C2semidirect
23. #19137254C2semidirect
24. #19137252C2semidirect
25. #19137249C2semidirect
26. #19137248C2semidirect
27. #19137248C2semidirect
28. C4×#13063314C2semidirect
29. #19137136C2semidirect
30. C4×#13063311C2semidirect
31. C43×#2367C2semidirect
32. #14583641C4semidirect
47. C2×C4×Dic86C22semidirect
48. C2×#13063290C22semidirect
57. C22×(C2×D43)⋊C4C22semidirect
58. C22×(C2×D43)⋊C4C22semidirect
59. C2×C22⋊C4×D43C22semidirect
60. C2×C22⋊C4×D43C22semidirect
61. C2×C22⋊C4×D43C22semidirect
62. C2×C22⋊C4×D43C22semidirect
63. #14582806C22semidirect
64. #14582806C22semidirect
65. #14582805C22semidirect
66. #14582804C22semidirect
67. #14582803C22semidirect
68. #14582803C22semidirect
69. #14582803C22semidirect
70. #14582803C22semidirect
79. #14582793C22semidirect
80. #14582793C22semidirect
81. #14582792C22semidirect
82. #14582792C22semidirect
83. #14582792C22semidirect
84. #14582792C22semidirect
85. #14582791C22semidirect
86. #14582791C22semidirect
87. #14582791C22semidirect
88. #14582790C22semidirect
89. #14582790C22semidirect
90. #14582790C22semidirect
91. #14582790C22semidirect
92. #14582790C22semidirect
93. #14582790C22semidirect
94. #14582790C22semidirect
95. #14582789C22semidirect
96. #14582789C22semidirect
97. #14582789C22semidirect
98. #14582789C22semidirect
99. #14582789C22semidirect
100. #14582789C22semidirect
101. #14582789C22semidirect
102. #14582789C22semidirect
103. #14582789C22semidirect
104. #14582788C22semidirect
105. #14582788C22semidirect
106. #14582788C22semidirect
107. #14582788C22semidirect
108. #14582788C22semidirect
109. #14582787C22semidirect
110. #14582787C22semidirect
129. #14582774C22semidirect
130. #14582774C22semidirect
131. #14582773C22semidirect
132. #14582773C22semidirect
133. #14582773C22semidirect
134. #14582773C22semidirect
135. #14582773C22semidirect
136. #14582772C22semidirect
137. #14582771C22semidirect
138. #14582770C22semidirect
139. #14582770C22semidirect
140. #14582770C22semidirect
141. #14582770C22semidirect
142. #14582770C22semidirect
143. #14582770C22semidirect
144. #14582770C22semidirect
145. #14582767C22semidirect
146. #14582766C22semidirect
147. #14582764C22semidirect
148. #14582763C22semidirect
149. #14582763C22semidirect
150. #14582754C22semidirect
151. #14582754C22semidirect
152. C4⋊C4×Dic43C22semidirect
153. C4×Dic43⋊C4C22semidirect
154. C4×C4⋊Dic43C22semidirect
155. #14582750C22semidirect
156. C22⋊C4×Dic43C22semidirect
157. C22⋊C4×Dic43C22semidirect
158. C22⋊C4×Dic43C22semidirect
159. C4×(C2×D43)⋊C4C22semidirect
160. C4×(C2×D43)⋊C4C22semidirect
161. C4×(C2×D43)⋊C4C22semidirect
162. C4×(C2×D43)⋊C4C22semidirect
163. C4×(C2×D43)⋊C4C22semidirect
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. C42×Dic43C22semidirect
174. C2×C4×Q8×C43C22semidirect
176. C43×#391C22semidirect
178. C43×#388C22semidirect
179. C43×#388C22semidirect
180. C43×#388C22semidirect
181. C43×#388C22semidirect
182. C43×#385C22semidirect
183. C43×#385C22semidirect
184. C4×C4⋊C4×C43C22semidirect
185. C4×C4⋊C4×C43C22semidirect
186. C4×C22⋊C4×C43C22semidirect
187. C4×C22⋊C4×C43C22semidirect
210. #13063314C2×C4semidirect
211. #13063314C2×C4semidirect
212. #13063313C2×C4semidirect
213. #13063313C2×C4semidirect
214. #13063311C2×C4semidirect
215. #13063311C2×C4semidirect
216. #13063311C2×C4semidirect
217. #13063311C2×C4semidirect
218. #13063295C2×C4semidirect
219. #13063295C2×C4semidirect
220. #13063295C2×C4semidirect
221. #13063295C2×C4semidirect
222. #13063293C2×C4semidirect
223. #13063293C2×C4semidirect
342. #124×C43C2×C4semidirect
828. #2367D43semidirect
881. C2×C4×Q8C2×D43semidirect
905. #391C2×D43semidirect
947. #388C2×D43semidirect
948. #388C2×D43semidirect
949. #388C2×D43semidirect
950. #388C2×D43semidirect
985. #385C2×D43semidirect
986. #385C2×D43semidirect
998. C4×C4⋊C4C2×D43semidirect
999. C4×C4⋊C4C2×D43semidirect
1016. C4×C22⋊C4C2×D43semidirect
1017. C4×C22⋊C4C2×D43semidirect
1019. C43#34529semidirect
1054. #124C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145836412
#191377682
#191377672
#191377642
#191376692
#191376662
#191376642
#191376622
#191376612
#191375772
#191375762
#191375732
#191375722
#191375712
#191374102
#191374092
#191374082
#191374072
#191374032
#191372572
#191372542
#191372522
#191372492
#191372482
C4×#130633142
#191371362
C4×#130633112
C43×#23672
#3452943