Finite Group Databasebeta

← #28754505

Subgroups — #28754505

Order 15104.

2576 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838144C211yesmaximal, characteristic
2#21427236C211yesmaximal, characteristic, complemented
3#21427236C211yesmaximal, characteristic, complemented
4#21427233C211yesmaximal, characteristic, complemented
5#21427207C211yesmaximal, characteristic, complemented
6#21427204C211yesmaximal, characteristic, complemented
7#21427203C211yesmaximal, characteristic, complemented
8#21427168C211yesmaximal, characteristic, complemented
9#21427167C211yesmaximal, characteristic, complemented
10#21427165C211yesmaximal, characteristic, complemented
11#21427164C211yesmaximal, characteristic, complemented
12#21427163C211yesmaximal, characteristic, complemented
13#21427074C211yesmaximal, characteristic, complemented
14#21427073C211yesmaximal, characteristic, complemented
15#21427072C211yesmaximal, characteristic, complemented
16#21426911C211yesmaximal, characteristic, complemented
17#21426909C211yesmaximal, characteristic, complemented
18#21426909C211yesmaximal, characteristic, complemented
19#21426908C211yesmaximal, characteristic, complemented
20#21426907C211yesmaximal, characteristic, complemented
21#21426903C211yesmaximal, characteristic, complemented
22#21426805C211yesmaximal, characteristic, complemented
23#21426803C211yesmaximal, characteristic, complemented
24#21426802C211yesmaximal, characteristic, complemented
25#21426758C211yesmaximal, characteristic, complemented
26#21426756C211yesmaximal, characteristic, complemented
27#21426755C211yesmaximal, characteristic, complemented
28C4×#14273697C211yesmaximal, characteristic, complemented
29#21426597C211yesmaximal, characteristic, complemented
30C4×#14273695C211yesmaximal, characteristic, complemented
31C59×#2367C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic, complemented
33#16838144C4116yescomplemented
34C2×#14273716C2211yescharacteristic
35C2×#14273716C2211yescharacteristic
36C2×#14273715C2211yescharacteristic
37C2×#14273715C2211yescharacteristic
38C2×#14273713C2211yescharacteristic
39C2×#14273713C2211yescharacteristic
40C2×#14273713C2211yescharacteristic
41C2×#14273713C2211yescharacteristic
42C2×#14273697C2211yescharacteristic
43C2×#14273697C2211yescharacteristic
44C2×#14273697C2211yescharacteristic
45C2×#14273697C2211yescharacteristic
46C2×#14273695C2211yescharacteristic
47C2×#14273695C2211yescharacteristic
48C2×C4×Dic118C2211yescharacteristic, complemented
49C2×#14273692C2211yescharacteristic, complemented
50C2×C4×D236C2211yescharacteristic
51C2×C4×D236C2211yescharacteristic
52C2×#14273689C2211yescharacteristic
53C2×#14273689C2211yescharacteristic
54C2×C4×C22⋊D59C2211yescharacteristic
55C2×C4×C22⋊D59C2211yescharacteristic
56C2×C4×C22⋊D59C2211yescharacteristic
57C2×(C22⋊D59)⋊C4C2211yescharacteristic
58C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
59C2×C22⋊C4×D59C2211yescharacteristic, complemented
60C2×C22⋊C4×D59C2211yescharacteristic, complemented
61#16837309C2211yescharacteristic, complemented
62#16837309C2211yescharacteristic, complemented
63#16837308C2211yescharacteristic, complemented
64#16837307C2211yescharacteristic, complemented
65#16837306C2211yescharacteristic, complemented
66#16837306C2211yescharacteristic, complemented
67#16837306C2211yescharacteristic, complemented
68#16837306C2211yescharacteristic, complemented
69#16837304C2211yescharacteristic
70#16837304C2211yescharacteristic
71#16837303C2211yescharacteristic
72#16837303C2211yescharacteristic
73#16837302C2211yescharacteristic
74#16837302C2211yescharacteristic
75#16837302C2211yescharacteristic
76#16837302C2211yescharacteristic
77#16837296C2211yescharacteristic, complemented
78#16837296C2211yescharacteristic, complemented
79#16837295C2211yescharacteristic, complemented
80#16837295C2211yescharacteristic, complemented
81#16837295C2211yescharacteristic, complemented
82#16837295C2211yescharacteristic, complemented
83#16837294C2211yescharacteristic, complemented
84#16837294C2211yescharacteristic, complemented
85#16837294C2211yescharacteristic, complemented
86#16837294C2211yescharacteristic, complemented
87#16837294C2211yescharacteristic, complemented
88#16837293C2211yescharacteristic, complemented
89#16837293C2211yescharacteristic, complemented
90#16837293C2211yescharacteristic, complemented
91#16837293C2211yescharacteristic, complemented
92#16837293C2211yescharacteristic, complemented
93#16837293C2211yescharacteristic, complemented
94#16837293C2211yescharacteristic, complemented
95#16837293C2211yescharacteristic, complemented
96#16837293C2211yescharacteristic, complemented
97#16837292C2211yescharacteristic, complemented
98#16837292C2211yescharacteristic, complemented
99#16837292C2211yescharacteristic, complemented
100#16837292C2211yescharacteristic, complemented
101#16837292C2211yescharacteristic, complemented
102#16837292C2211yescharacteristic, complemented
103#16837292C2211yescharacteristic, complemented
104#16837291C2211yescharacteristic, complemented
105#16837291C2211yescharacteristic, complemented
106#16837291C2211yescharacteristic, complemented
107#16837290C2211yescharacteristic, complemented
108#16837290C2211yescharacteristic, complemented
109#16837282C2211yescharacteristic
110#16837282C2211yescharacteristic
111#16837281C2211yescharacteristic
112#16837280C2211yescharacteristic
113#16837280C2211yescharacteristic
114#16837280C2211yescharacteristic
115#16837280C2211yescharacteristic
116#16837280C2211yescharacteristic
117#16837280C2211yescharacteristic
118#16837280C2211yescharacteristic
119#16837280C2211yescharacteristic
120#16837279C2211yescharacteristic
121#16837279C2211yescharacteristic
122#16837279C2211yescharacteristic
123#16837278C2211yescharacteristic
124#16837278C2211yescharacteristic
125#16837278C2211yescharacteristic
126#16837278C2211yescharacteristic
127#16837277C2211yescharacteristic, complemented
128#16837277C2211yescharacteristic, complemented
129#16837276C2211yescharacteristic, complemented
130#16837276C2211yescharacteristic, complemented
131#16837276C2211yescharacteristic, complemented
132#16837275C2211yescharacteristic, complemented
133#16837274C2211yescharacteristic, complemented
134#16837273C2211yescharacteristic, complemented
135#16837273C2211yescharacteristic, complemented
136#16837273C2211yescharacteristic, complemented
137#16837273C2211yescharacteristic, complemented
138#16837273C2211yescharacteristic, complemented
139#16837273C2211yescharacteristic, complemented
140#16837273C2211yescharacteristic, complemented
141#16837273C2211yescharacteristic, complemented
142#16837273C2211yescharacteristic, complemented
143#16837271C2211yescharacteristic, complemented
144#16837270C2211yescharacteristic, complemented
145#16837269C2211yescharacteristic, complemented
146#16837257C2211yescharacteristic, complemented
147#16837257C2211yescharacteristic, complemented
148#16837257C2211yescharacteristic, complemented
149#16837257C2211yescharacteristic, complemented
150C4⋊C4×Dic59C2211yescharacteristic, complemented
151C4×Dic59⋊C4C2211yescharacteristic, complemented
152C4×C4⋊Dic59C2211yescharacteristic, complemented
153#16837253C2211yescharacteristic, complemented
154C22⋊C4×Dic59C2211yescharacteristic, complemented
155C22⋊C4×Dic59C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic, complemented
157C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
164C4×C22⋊Dic59C2211yescharacteristic, complemented
165#16837249C2211yescharacteristic, complemented
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837248C2211yescharacteristic, complemented
171#16837247C2211yescharacteristic, complemented
172#16837247C2211yescharacteristic, complemented
173C2×#124×C59C2211yescharacteristic
174C2×C4×Q8×C59C2211yescharacteristic, complemented
175C2×C4×D4×C59C2211yescharacteristic
176C59×#391C2211yescharacteristic, complemented
177C59×#390C2211yescharacteristic
178C59×#388C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#385C2211yescharacteristic, complemented
183C59×#385C2211yescharacteristic, complemented
184C4×C4⋊C4×C59C2211yescharacteristic, complemented
185C4×C4⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C24×D59C2311yescharacteristic
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C22×C4×D59—42no—
203C22×C4×D59—42no—
204C22×C4×D59—42no—
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213#14273716C2×C418yescomplemented
214#14273716C2×C418yescomplemented
215#14273715C2×C418yescomplemented
216#14273715C2×C418yescomplemented
217#14273713C2×C418yescomplemented
218#14273713C2×C418yescomplemented
219#14273713C2×C418yescomplemented
220#14273713C2×C418yescomplemented
221#14273697C2×C418yescomplemented
222#14273697C2×C418yescomplemented
223#14273697C2×C418yescomplemented
224#14273697C2×C418yescomplemented
225#14273695C2×C418yescomplemented
226#14273695C2×C418yescomplemented
227C4×Dic118—42no—
228#14273692—42no—
229C4×D236—42no—
230C4×D236—42no—
231#14273689—42no—
232#14273689—42no—
233C4×C22⋊D59—42no—
234C4×C22⋊D59—42no—
235C4×C22⋊D59—42no—
236(C22⋊D59)⋊C4—42no—
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×(C2×D59)⋊C4—42no—
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C22⋊C4×D59—42no—
295C22⋊C4×D59—42no—
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C22×Q8×C59C2311yescharacteristic
339C22×D4×C59C2311yescharacteristic
340C23×C4×C59C2311yescharacteristic
341C23×C4×C59C2311yescharacteristic
342#124×C59C2×C418yescomplemented
343C4×Q8×C59—42no—
344C4×D4×C59—42no—
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365C2×C42×C59C2311yescharacteristic
366C2×C42×C59C2311yescharacteristic
367C2×C42×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C23×D59—41no—
379C23×D59—41no—
380C23×D59—41no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59—41no—
386C23×D59—41no—
387C23×D59—41no—
388C23×D59—41no—
389C23×D59—41no—
390C23×D59C22×C414yes—
391C23×D59C22×C414yescomplemented
392C23×D59C2411yescharacteristic
393C23×D59C2411yescharacteristic
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C2×Q8×C59—41no—
397C2×Q8×C59—41no—
398C2×Q8×C59C22×C414yescomplemented
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59C22×C414yes—
402C22×C4×C59—22no—
403C22×C4×C59—22no—
404C22×C4×C59—22no—
405C22×C4×C59—41no—
406C22×C4×C59—41no—
407C22×C4×C59—41no—
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C2×C22⋊D59—41no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C2×C22⋊D59—41no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59C22×C414yes—
430C2×C22⋊D59C22×C414yes—
431C2×C22⋊D59C22×C414yes—
432C2×C22⋊D59C22×C414yes—
433C22×Dic59—22no—
434C22×Dic59—41no—
435C22×Dic59—41no—
436C22×Dic59—41no—
437C22×Dic59—41no—
438C22×Dic59—41no—
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449C22×Dic59C2411yescharacteristic
450C22×Dic59C2411yescharacteristic
451C2×D236—41no—
452C2×D236—41no—
453C2×D236—41no—
454C2×D236—41no—
455C2×D236—41no—
456C2×D236—41no—
457C2×D236—41no—
458C2×D236—41no—
459C2×D236C22×C414yes—
460C2×D236C22×C414yes—
461C2×D236C22×C414yes—
462C2×D236C22×C414yes—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
469C2×C4×D59—22no—
470C2×C4×D59—22no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—416no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×Dic118—41no—
489C2×Dic118—41no—
490C2×Dic118—41no—
491C2×Dic118—41no—
492C2×Dic118C22×C414yescomplemented
493C2×Dic118C22×C414yescomplemented
494C4⋊C4×C59—22no—
495C4⋊C4×C59—22no—
496C4⋊C4×C59—22no—
497C4⋊C4×C59—41no—
498C4⋊C4×C59—41no—
499C4⋊C4×C59—41no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—41no—
502C22⋊C4×C59—41no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59—41no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59C22×C414yes—
507C22⋊C4×C59C22×C414yes—
508C22⋊C4×C59C22×C414yescomplemented
509C22⋊C4×C59C22×C414yescomplemented
510C42×C59—22no—
511C42×C59—41no—
512C42×C59—41no—
513C42×C59—41no—
514C42×C59—41no—
515C42×C59—41no—
516C42×C59C22×C414yescomplemented
517C22⋊Dic59—22no—
518C22⋊Dic59—41no—
519C22⋊Dic59—41no—
520C22⋊Dic59—41no—
521C22⋊Dic59—41no—
522C22⋊Dic59—41no—
523C22⋊Dic59C22×C414yes—
524C22⋊Dic59C22×C414yescomplemented
525(C2×D59)⋊C4—22no—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4C22×C414yes—
550(C2×D59)⋊C4C22×C414yes—
551(C2×D59)⋊C4C22×C414yes—
552(C2×D59)⋊C4C22×C414yes—
553(C2×D59)⋊C4C22×C414yes—
554(C2×D59)⋊C4C22×C414yes—
555(C2×D59)⋊C4C22×C414yescomplemented
556(C2×D59)⋊C4C22×C414yescomplemented
557(C2×D59)⋊C4C22×C414yescomplemented
558(C2×D59)⋊C4C22×C414yescomplemented
559(C2×D59)⋊C4C22×C414yescomplemented
560(C2×D59)⋊C4C22×C414yescomplemented
561C4⋊Dic59—22no—
562C4⋊Dic59—41no—
563C4⋊Dic59—41no—
564C4⋊Dic59—41no—
565Dic59⋊C4—22no—
566Dic59⋊C4—22no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572Dic59⋊C4—41no—
573C4×Dic59—22no—
574C4×Dic59—22no—
575C4×Dic59—41no—
576C4×Dic59—41no—
577C4×Dic59—41no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
582C4×Dic59—41no—
583C4×Dic59—41no—
584C4×Dic59—41no—
585C4×Dic59C22×C414yescomplemented
586C4×Dic59C22×C414yescomplemented
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59C23×C412yes—
600C23×C59C23×C412yes—
601C23×C59C2511yescharacteristic
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—44no—
627C22×D59—44no—
628C22×D59—44no—
629C22×D59—44no—
630C22×D59—44no—
631C22×D59—44no—
632C22×D59—44no—
633C22×D59—44no—
634C22×D59—44no—
635C22×D59—44no—
636C22×D59—82no—
637C22×D59—82no—
638C22×D59—82no—
639C22×D59—82no—
640C22×D59C23×C412yes—
641C22×D59C23×C412yes—
642C22×D59C23×C412yes—
643C22×D59C23×C412yes—
644Q8×C59—44no—
645D4×C59—44no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—44no—
679C2×C4×C59—82no—
680C2×C4×C59C23×C412yes—
681C2×C4×C59C23×C412yes—
682C2×C4×C59C23×C412yes—
683C2×C4×C59C23×C412yes—
684C2×C4×C59C23×C412yes—
685C2×C4×C59H(5,𝔽2)12yes—
686C2×C4×C59H(5,𝔽2)12yes—
687C22⋊D59—44no—
688C22⋊D59—44no—
689C22⋊D59—44no—
690C22⋊D59—44no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—44no—
723C2×Dic59—82no—
724C2×Dic59C23×C412yes—
725C2×Dic59C23×C412yes—
726C2×Dic59C23×C412yes—
727C2×Dic59C23×C412yes—
728C2×Dic59H(5,𝔽2)12yes—
729D236—44no—
730D236—44no—
731D236—44no—
732D236—44no—
733C4×D59—44no—
734C4×D59—44no—
735C4×D59—44no—
736C4×D59—44no—
737C4×D59—82no—
738C4×D59—82no—
739C4×D59—82no—
740C4×D59—82no—
741Dic118—44no—
742Dic118—44no—
743#34512—591nomaximal, Sylow
744C22×C59—22no—
745C22×C59—22no—
746C22×C59—22no—
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59C24×C411yescharacteristic
759C22×C59C2×H(5,𝔽2)11yescharacteristic
760C22×C59C2×H(5,𝔽2)11yescharacteristic
761C22×C59C2×H(5,𝔽2)11yescharacteristic
762C22×C59#58511yescharacteristic
763C22×C59#58511yescharacteristic
764C22×C59#58511yescharacteristic
765C2×D59—22no—
766C2×D59—22no—
767C2×D59—22no—
768C2×D59—22no—
769C2×D59—22no—
770C2×D59—22no—
771C2×D59—22no—
772C2×D59—22no—
773C2×D59—22no—
774C2×D59—22no—
775C2×D59—22no—
776C2×D59—22no—
777C2×D59—416no—
778C2×D59—41no—
779C2×D59—41no—
780C2×D59—41no—
781C2×D59—41no—
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—88no—
795C4×C59—22no—
796C4×C59—22no—
797C4×C59—22no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—22no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808Dic59—22no—
809Dic59—22no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—41no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820C2×H(3,𝔽4)—591no—
821#2375—591no—
822#2375—591no—
823#2375—591no—
824#2372—591no—
825#2372—591no—
826#2372—591no—
827#2367—591no—
828#2367—591no—
829#2367—591no—
830#2367—591no—
831#2367—591no—
832#2367D5911yescharacteristic, complemented
833#2358—591no—
834#2358—591no—
835#2358—591no—
836#2337—591no—
837#2337—591no—
838#2337—591no—
839#2337—591no—
840#2337—591no—
841#2337—591no—
842#2326—591no—
843#2326—591no—
844#2326—591no—
845#2321—591no—
846#2321—591no—
847#2321—591no—
848C4×#120—591no—
849C4×#120—591no—
850C4×#120—591no—
851C2×C59—42no—
852C2×C59—42no—
853C2×C59C4×H(5,𝔽2)11yescharacteristic
854C2×C59C4×H(5,𝔽2)11yescharacteristic
855C2×C59C4×H(5,𝔽2)11yescharacteristic
856C2×C59#353211yescharacteristic
857C2×C59#354011yescharacteristic
858C2×C59#354011yescharacteristic
859C2×C59#354011yescharacteristic
860D59—42no—
861D59—42no—
862D59—42no—
863D59—42no—
864C24×C4—591no—
865H(3,𝔽4)—5916no—
866C2×#124—591no—
867C2×#124—591no—
868C2×#124—591no—
869C2×#124—591no—
870C2×#124—591no—
871C2×#124—591no—
872C2×#124—591no—
873C2×#124—591no—
874C2×#124C2×D5911yescharacteristic
875C2×#120—591no—
876C2×#120—591no—
877C2×#120—591no—
878C2×#120—591no—
879C2×#120—591no—
880C2×#120—591no—
881C2×C4×Q8—591no—
882C2×C4×Q8—591no—
883C2×C4×Q8C2×D5911yescharacteristic, complemented
884C2×C4×D4—591no—
885C2×C4×D4—591no—
886C2×C4×D4—591no—
887C2×C4×D4—591no—
888C2×C4×D4—591no—
889C2×C4×D4—591no—
890C2×C4×D4—591no—
891C2×C4×D4—591no—
892C2×C4×D4C2×D5911yescharacteristic
893C22×C22⋊C4—591no—
894C22×C22⋊C4—591no—
895C22×C22⋊C4—591no—
896#391—591no—
897#391—591no—
898#391—591no—
899#391—591no—
900#391—591no—
901#391—591no—
902#391—591no—
903#391—591no—
904#391C2×D5911yescharacteristic, complemented
905#390—591no—
906#390—591no—
907#390—591no—
908#390—591no—
909#390—591no—
910#390—591no—
911#390—591no—
912#390—591no—
913#390C2×D5911yescharacteristic
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#388—591no—
935#388—591no—
936#388—591no—
937#388—591no—
938#388—591no—
939#388—591no—
940#388—591no—
941#388—591no—
942#388—591no—
943#388—591no—
944#388—591no—
945#388—591no—
946#388C2×D5911yescharacteristic, complemented
947#388C2×D5911yescharacteristic, complemented
948#388C2×D5911yescharacteristic, complemented
949#388C2×D5911yescharacteristic, complemented
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386—591no—
959#386—591no—
960#386—591no—
961#386—591no—
962#386—591no—
963#386—591no—
964#386—591no—
965#386—591no—
966#386—591no—
967#386—591no—
968#385—591no—
969#385—591no—
970#385—591no—
971#385—591no—
972#385—591no—
973#385—591no—
974#385—591no—
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385—591no—
980#385—591no—
981#385—591no—
982#385—591no—
983#385—591no—
984#385C2×D5911yescharacteristic, complemented
985#385C2×D5911yescharacteristic, complemented
986#384—591no—
987#383—591no—
988#383—591no—
989#379—591no—
990#379—591no—
991#379—591no—
992#379—591no—
993C4×C4⋊C4—591no—
994C4×C4⋊C4—591no—
995C4×C4⋊C4—591no—
996C4×C4⋊C4—591no—
997C4×C4⋊C4C2×D5911yescharacteristic, complemented
998C4×C4⋊C4C2×D5911yescharacteristic, complemented
999C4×C22⋊C4—591no—
1000C4×C22⋊C4—591no—
1001C4×C22⋊C4—591no—
1002C4×C22⋊C4—591no—
1003C4×C22⋊C4—591no—
1004C4×C22⋊C4—591no—
1005C4×C22⋊C4—591no—
1006C4×C22⋊C4—591no—
1007C4×C22⋊C4—591no—
1008C4×C22⋊C4—591no—
1009C4×C22⋊C4—591no—
1010C4×C22⋊C4—591no—
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4—591no—
1014C4×C22⋊C4—591no—
1015C4×C22⋊C4C2×D5911yescharacteristic, complemented
1016C4×C22⋊C4C2×D5911yescharacteristic, complemented
1017#376—591no—
1018#376—591no—
1019#376—591no—
1020C59#3451211yescharacteristic, complemented, Sylow
1021C25—591no—
1022C25—591no—
1023C22×Q8—591no—
1024C22×Q8—591no—
1025C22×Q8C22×D5911yescharacteristic
1026C22×D4—591no—
1027C22×D4—591no—
1028C22×D4—591no—
1029C22×D4—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4C22×D5911yescharacteristic
1035C23×C4—591no—
1036C23×C4—591no—
1037C23×C4—591no—
1038C23×C4—591no—
1039C23×C4—591no—
1040C23×C4—591no—
1041C23×C4—591no—
1042C23×C4—591no—
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4—2362no—
1046C23×C4—2362no—
1047C23×C4—2362no—
1048C23×C4C22×D5911yescharacteristic
1049C23×C4C22×D5911yescharacteristic
1050#124—598no—
1051#124—598no—
1052#124—598no—
1053#124—598no—
1054#124—598no—
1055#124—598no—
1056#124—598no—
1057#124—598no—
1058#124C4×D5918yescomplemented
1059#120—598no—
1060#120—598no—
1061#120—598no—
1062#120—598no—
1063#120—598no—
1064#120—598no—
1065C4×Q8—42no—
1066C4×Q8—2362no—
1067C4×Q8—2362no—
1068C4×D4—42no—
1069C4×D4—2362no—
1070C4×D4—2362no—
1071C4×D4—2362no—
1072C4×D4—2362no—
1073C4×D4—2362no—
1074C4×D4—2362no—
1075C4×D4—2362no—
1076C4×D4—2362no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4C22×D5911yescharacteristic
1090C2×C4⋊C4C22×D5911yescharacteristic
1091C2×C4⋊C4C22×D5911yescharacteristic
1092C2×C4⋊C4C22×D5911yescharacteristic
1093C2×C4⋊C4C22×D5911yescharacteristic
1094C2×C4⋊C4C22×D5911yescharacteristic
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—2362no—
1140C2×C22⋊C4—2362no—
1141C2×C22⋊C4—2362no—
1142C2×C22⋊C4C22×D5911yescharacteristic
1143C2×C22⋊C4C22×D5911yescharacteristic
1144C2×C22⋊C4C22×D5911yescharacteristic
1145C2×C22⋊C4C22×D5911yescharacteristic
1146C2×C22⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4C22×D5911yescharacteristic
1149C2×C22⋊C4C22×D5911yescharacteristic
1150C2×C22⋊C4C22×D5911yescharacteristic
1151C2×C22⋊C4C22×D5911yescharacteristic
1152C2×C42—591no—
1153C2×C42—591no—
1154C2×C42—591no—
1155C2×C42—591no—
1156C2×C42—591no—
1157C2×C42—591no—
1158C2×C42—591no—
1159C2×C42—591no—
1160C2×C42—591no—
1161C2×C42—591no—
1162C2×C42—591no—
1163C2×C42—591no—
1164C2×C42—591no—
1165C2×C42—591no—
1166C2×C42C22×D5911yescharacteristic
1167C2×C42C22×D5911yescharacteristic
1168C2×C42C22×D5911yescharacteristic
1169C2×C42C22×D5911yescharacteristic
1170C2×C42C22×D5911yescharacteristic
1171C2×C42C22×D5911yescharacteristic
1172C2×C42C22×D5911yescharacteristic
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95C22×D5911yescharacteristic
1202#95C22×D5911yescharacteristic
1203#95C22×D5911yescharacteristic
1204#95C22×D5911yescharacteristic
1205#95C22×D5911yescharacteristic
1206#95C22×D5911yescharacteristic
1207#95C22×D5911yescharacteristic
1208#95C22×D5911yescharacteristic
1209C24—591no—
1210C24—591no—
1211C24—591no—
1212C24—591no—
1213C24—594no—
1214C24—594no—
1215C24—2361no—
1216C24—2361no—
1217C24—2361no—
1218C24—2361no—
1219C24—2361no—
1220C24—2361no—
1221C24—2361no—
1222C24—2361no—
1223C24—2361no—
1224C24—2361no—
1225C24—2361no—
1226C24—2361no—
1227C24C23×D5911yescharacteristic
1228C24C23×D5911yescharacteristic
1229C2×Q8—41no—
1230C2×Q8—41no—
1231C2×Q8—594no—
1232C2×Q8—594no—
1233C2×Q8—2361no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×Q8—2361no—
1237C2×Q8C2×C4×D5914yescomplemented
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—594no—
1241C2×D4—594no—
1242C2×D4—594no—
1243C2×D4—594no—
1244C2×D4—594no—
1245C2×D4—594no—
1246C2×D4—594no—
1247C2×D4—594no—
1248C2×D4—2361no—
1249C2×D4—2361no—
1250C2×D4—2361no—
1251C2×D4—2361no—
1252C2×D4—2361no—
1253C2×D4—2361no—
1254C2×D4—2361no—
1255C2×D4—2361no—
1256C2×D4—2361no—
1257C2×D4—2361no—
1258C2×D4—2361no—
1259C2×D4—2361no—
1260C2×D4—2361no—
1261C2×D4—2361no—
1262C2×D4—2361no—
1263C2×D4—2361no—
1264C2×D4C2×C4×D5914yes—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—591no—
1272C22×C4—591no—
1273C22×C4—591no—
1274C22×C4—591no—
1275C22×C4—591no—
1276C22×C4—591no—
1277C22×C4—591no—
1278C22×C4—591no—
1279C22×C4—591no—
1280C22×C4—591no—
1281C22×C4—591no—
1282C22×C4—591no—
1283C22×C4—1182no—
1284C22×C4—1182no—
1285C22×C4—1182no—
1286C22×C4—1182no—
1287C22×C4—1182no—
1288C22×C4—1182no—
1289C22×C4—1182no—
1290C22×C4—1182no—
1291C22×C4—1182no—
1292C22×C4—2361no—
1293C22×C4—2361no—
1294C22×C4—2361no—
1295C22×C4—2361no—
1296C22×C4—2361no—
1297C22×C4—2361no—
1298C22×C4—2361no—
1299C22×C4—2361no—
1300C22×C4—2361no—
1301C22×C4—2361no—
1302C22×C4—2361no—
1303C22×C4—2361no—
1304C22×C4—2361no—
1305C22×C4—2361no—
1306C22×C4—2361no—
1307C22×C4—2361no—
1308C22×C4—23616no—
1309C22×C4—2361no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4C23×D5911yescharacteristic
1315C22×C4C23×D5911yescharacteristic
1316C22×C4C23×D5911yescharacteristic
1317C22×C4C23×D5911yescharacteristic
1318C22×C4C23×D5911yescharacteristic
1319C22×C4C23×D5911yescharacteristic
1320C22×C4C23×D5911yescharacteristic
1321C22×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C22×C4C23×D5911yescharacteristic
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—1182no—
1334C4⋊C4—1182no—
1335C4⋊C4—1182no—
1336C4⋊C4—2361no—
1337C4⋊C4—2361no—
1338C4⋊C4—2361no—
1339C4⋊C4—2361no—
1340C4⋊C4—2361no—
1341C4⋊C4—2361no—
1342C4⋊C4—2361no—
1343C4⋊C4—2361no—
1344C4⋊C4—2361no—
1345C22⋊C4—22no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—594no—
1352C22⋊C4—594no—
1353C22⋊C4—594no—
1354C22⋊C4—594no—
1355C22⋊C4—594no—
1356C22⋊C4—594no—
1357C22⋊C4—594no—
1358C22⋊C4—594no—
1359C22⋊C4—594no—
1360C22⋊C4—594no—
1361C22⋊C4—594no—
1362C22⋊C4—594no—
1363C22⋊C4—594no—
1364C22⋊C4—594no—
1365C22⋊C4—1182no—
1366C22⋊C4—1182no—
1367C22⋊C4—1182no—
1368C22⋊C4—1182no—
1369C22⋊C4—1182no—
1370C22⋊C4—2361no—
1371C22⋊C4—2361no—
1372C22⋊C4—2361no—
1373C22⋊C4—2361no—
1374C22⋊C4—2361no—
1375C22⋊C4—2361no—
1376C22⋊C4—2361no—
1377C22⋊C4—2361no—
1378C22⋊C4—2361no—
1379C22⋊C4—2361no—
1380C22⋊C4—2361no—
1381C22⋊C4—2361no—
1382C22⋊C4—2361no—
1383C22⋊C4—2361no—
1384C22⋊C4—2361no—
1385C22⋊C4—2361no—
1386C22⋊C4—2361no—
1387C22⋊C4—2361no—
1388C22⋊C4—2361no—
1389C22⋊C4—2361no—
1390C22⋊C4—2361no—
1391C22⋊C4—2361no—
1392C22⋊C4—2361no—
1393C22⋊C4—2361no—
1394C22⋊C4—2361no—
1395C22⋊C4C2×C4×D5914yes—
1396C22⋊C4C2×C4×D5914yes—
1397C22⋊C4C2×C4×D5914yescomplemented
1398C22⋊C4C2×C4×D5914yescomplemented
1399C42—22no—
1400C42—41no—
1401C42—41no—
1402C42—41no—
1403C42—41no—
1404C42—41no—
1405C42—594no—
1406C42—594no—
1407C42—1182no—
1408C42—1182no—
1409C42—2361no—
1410C42—2361no—
1411C42—2361no—
1412C42—2361no—
1413C42—2361no—
1414C42—2361no—
1415C42—2361no—
1416C42—2361no—
1417C42—2361no—
1418C42—2361no—
1419C42C2×C4×D5914yescomplemented
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—592no—
1433C23—592no—
1434C23—592no—
1435C23—592no—
1436C23—1181no—
1437C23—1181no—
1438C23—1181no—
1439C23—1181no—
1440C23—1181no—
1441C23—1181no—
1442C23—1181no—
1443C23—1181no—
1444C23—1181no—
1445C23—1181no—
1446C23—1181no—
1447C23—1181no—
1448C23—1181no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—4722no—
1461C23—4722no—
1462C23—4722no—
1463C23—4722no—
1464C23—2364no—
1465C23—2364no—
1466C23—2364no—
1467C23—2364no—
1468C23—2364no—
1469C23—2364no—
1470C23—2364no—
1471C23—2364no—
1472C23—2364no—
1473C23—2364no—
1474C23C22×C4×D5912yes—
1475C23C22×C4×D5912yes—
1476C23C24×D5911yescharacteristic
1477Q8—44no—
1478Q8—2364no—
1479Q8—2364no—
1480D4—44no—
1481D4—2364no—
1482D4—2364no—
1483D4—2364no—
1484D4—2364no—
1485D4—2364no—
1486D4—2364no—
1487D4—2364no—
1488D4—2364no—
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—21no—
1520C2×C4—21no—
1521C2×C4—44no—
1522C2×C4—82no—
1523C2×C4—592no—
1524C2×C4—592no—
1525C2×C4—592no—
1526C2×C4—592no—
1527C2×C4—592no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—4722no—
1560C2×C4—4722no—
1561C2×C4—4722no—
1562C2×C4—4722no—
1563C2×C4—4722no—
1564C2×C4—2364no—
1565C2×C4—2364no—
1566C2×C4—2364no—
1567C2×C4—2364no—
1568C2×C4—2364no—
1569C2×C4C22×C4×D5912yes—
1570C2×C4C22×C4×D5912yes—
1571C2×C4C22×C4×D5912yes—
1572C2×C4C22×C4×D5912yes—
1573C2×C4C22×C4×D5912yes—
1574C2×C4#1427377212yes—
1575C2×C4#1427377312yes—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—1182no—
1591C22—1182no—
1592C22—1182no—
1593C22—1182no—
1594C22—1182no—
1595C22—1182no—
1596C22—1182no—
1597C22—1182no—
1598C22—1182no—
1599C22—1182no—
1600C22—1182no—
1601C22—1182no—
1602C22—4728no—
1603C22—23616no—
1604C22—2361no—
1605C22—2361no—
1606C22—2361no—
1607C22—2361no—
1608C22—2361no—
1609C22—2361no—
1610C22—2361no—
1611C22—2361no—
1612C22—2361no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22C23×C4×D5911yescharacteristic
1621C22H(5,𝔽2)×D5911yescharacteristic
1622C22C2×#1427377211yescharacteristic
1623C22C2×#1427377311yescharacteristic
1624C22#1683823811yescharacteristic
1625C22#1683823811yescharacteristic
1626C22#1683823911yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—1182no—
1641C4—1182no—
1642C4—1182no—
1643C4—1182no—
1644C4—1182no—
1645C4—2361no—
1646C4—2361no—
1647C4—2361no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C2—42no—
1653C2—42no—
1654C2—2362no—
1655C2—2362no—
1656C2—2362no—
1657C2—2362no—
1658C2C4×#1427377211yescharacteristic
1659C2#2143730211yescharacteristic
1660C2C4×#1427377311yescharacteristic
1661C2#2143824511yescharacteristic
1662C2#2143835911yescharacteristic
1663C2#2143837011yescharacteristic
1664C2#2143837211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2367C2
socle, cosocleC23×C59C25
prime radicalC2×#16838144C2
hypercenter#2367D59
hypocenterC59#34512
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2367

Complements

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

NH ≅ G/Ntype
2. #21427236C2semidirect
3. #21427236C2semidirect
4. #21427233C2semidirect
5. #21427207C2semidirect
6. #21427204C2semidirect
7. #21427203C2semidirect
8. #21427168C2semidirect
9. #21427167C2semidirect
10. #21427165C2semidirect
11. #21427164C2semidirect
12. #21427163C2semidirect
13. #21427074C2semidirect
14. #21427073C2semidirect
15. #21427072C2semidirect
16. #21426911C2semidirect
17. #21426909C2semidirect
18. #21426909C2semidirect
19. #21426908C2semidirect
20. #21426907C2semidirect
21. #21426903C2semidirect
22. #21426805C2semidirect
23. #21426803C2semidirect
24. #21426802C2semidirect
25. #21426758C2semidirect
26. #21426756C2semidirect
27. #21426755C2semidirect
28. C4×#14273697C2semidirect
29. #21426597C2semidirect
30. C4×#14273695C2semidirect
31. C59×#2367C2semidirect
32. C23×C4×D59C22semidirect
33. #16838144C4semidirect
48. C2×C4×Dic118C22semidirect
49. C2×#14273692C22semidirect
58. C22×(C2×D59)⋊C4C22semidirect
59. C2×C22⋊C4×D59C22semidirect
60. C2×C22⋊C4×D59C22semidirect
61. #16837309C22semidirect
62. #16837309C22semidirect
63. #16837308C22semidirect
64. #16837307C22semidirect
65. #16837306C22semidirect
66. #16837306C22semidirect
67. #16837306C22semidirect
68. #16837306C22semidirect
77. #16837296C22semidirect
78. #16837296C22semidirect
79. #16837295C22semidirect
80. #16837295C22semidirect
81. #16837295C22semidirect
82. #16837295C22semidirect
83. #16837294C22semidirect
84. #16837294C22semidirect
85. #16837294C22semidirect
86. #16837294C22semidirect
87. #16837294C22semidirect
88. #16837293C22semidirect
89. #16837293C22semidirect
90. #16837293C22semidirect
91. #16837293C22semidirect
92. #16837293C22semidirect
93. #16837293C22semidirect
94. #16837293C22semidirect
95. #16837293C22semidirect
96. #16837293C22semidirect
97. #16837292C22semidirect
98. #16837292C22semidirect
99. #16837292C22semidirect
100. #16837292C22semidirect
101. #16837292C22semidirect
102. #16837292C22semidirect
103. #16837292C22semidirect
104. #16837291C22semidirect
105. #16837291C22semidirect
106. #16837291C22semidirect
107. #16837290C22semidirect
108. #16837290C22semidirect
127. #16837277C22semidirect
128. #16837277C22semidirect
129. #16837276C22semidirect
130. #16837276C22semidirect
131. #16837276C22semidirect
132. #16837275C22semidirect
133. #16837274C22semidirect
134. #16837273C22semidirect
135. #16837273C22semidirect
136. #16837273C22semidirect
137. #16837273C22semidirect
138. #16837273C22semidirect
139. #16837273C22semidirect
140. #16837273C22semidirect
141. #16837273C22semidirect
142. #16837273C22semidirect
143. #16837271C22semidirect
144. #16837270C22semidirect
145. #16837269C22semidirect
146. #16837257C22semidirect
147. #16837257C22semidirect
148. #16837257C22semidirect
149. #16837257C22semidirect
150. C4⋊C4×Dic59C22semidirect
151. C4×Dic59⋊C4C22semidirect
152. C4×C4⋊Dic59C22semidirect
153. #16837253C22semidirect
154. C22⋊C4×Dic59C22semidirect
155. C22⋊C4×Dic59C22semidirect
156. C22⋊C4×Dic59C22semidirect
157. C4×(C2×D59)⋊C4C22semidirect
158. C4×(C2×D59)⋊C4C22semidirect
159. C4×(C2×D59)⋊C4C22semidirect
160. C4×(C2×D59)⋊C4C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
163. C4×(C2×D59)⋊C4C22semidirect
164. C4×C22⋊Dic59C22semidirect
165. #16837249C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837248C22semidirect
171. #16837247C22semidirect
172. #16837247C22semidirect
174. C2×C4×Q8×C59C22semidirect
176. C59×#391C22semidirect
178. C59×#388C22semidirect
179. C59×#388C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
182. C59×#385C22semidirect
183. C59×#385C22semidirect
184. C4×C4⋊C4×C59C22semidirect
185. C4×C4⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
187. C4×C22⋊C4×C59C22semidirect
213. #14273716C2×C4semidirect
214. #14273716C2×C4semidirect
215. #14273715C2×C4semidirect
216. #14273715C2×C4semidirect
217. #14273713C2×C4semidirect
218. #14273713C2×C4semidirect
219. #14273713C2×C4semidirect
220. #14273713C2×C4semidirect
221. #14273697C2×C4semidirect
222. #14273697C2×C4semidirect
223. #14273697C2×C4semidirect
224. #14273697C2×C4semidirect
225. #14273695C2×C4semidirect
226. #14273695C2×C4semidirect
342. #124×C59C2×C4semidirect
391. C23×D59C22×C4semidirect
398. C2×Q8×C59C22×C4semidirect
492. C2×Dic118C22×C4semidirect
493. C2×Dic118C22×C4semidirect
508. C22⋊C4×C59C22×C4semidirect
509. C22⋊C4×C59C22×C4semidirect
516. C42×C59C22×C4semidirect
524. C22⋊Dic59C22×C4semidirect
555. (C2×D59)⋊C4C22×C4semidirect
556. (C2×D59)⋊C4C22×C4semidirect
557. (C2×D59)⋊C4C22×C4semidirect
558. (C2×D59)⋊C4C22×C4semidirect
559. (C2×D59)⋊C4C22×C4semidirect
560. (C2×D59)⋊C4C22×C4semidirect
585. C4×Dic59C22×C4semidirect
586. C4×Dic59C22×C4semidirect
832. #2367D59semidirect
883. C2×C4×Q8C2×D59semidirect
904. #391C2×D59semidirect
946. #388C2×D59semidirect
947. #388C2×D59semidirect
948. #388C2×D59semidirect
949. #388C2×D59semidirect
984. #385C2×D59semidirect
985. #385C2×D59semidirect
997. C4×C4⋊C4C2×D59semidirect
998. C4×C4⋊C4C2×D59semidirect
1015. C4×C22⋊C4C2×D59semidirect
1016. C4×C22⋊C4C2×D59semidirect
1020. C59#34512semidirect
1058. #124C4×D59semidirect
1237. C2×Q8C2×C4×D59semidirect
1397. C22⋊C4C2×C4×D59semidirect
1398. C22⋊C4C2×C4×D59semidirect
1419. C42C2×C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168381442
#214272362
#214272332
#214272072
#214272042
#214272032
#214271682
#214271672
#214271652
#214271642
#214271632
#214270742
#214270732
#214270722
#214269112
#214269092
#214269082
#214269072
#214269032
#214268052
#214268032
#214268022
#214267582
#214267562
#214267552
C4×#142736972
#214265972
C4×#142736952
C59×#23672
#3451259