Finite Group Databasebeta

← #26376155

Subgroups — #26376155

Order 12032.

2732 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689800C211yesmaximal, characteristic
2#20246517C211yesmaximal, characteristic, complemented
3#20246507C211yesmaximal, characteristic, complemented
4#20246502C211yesmaximal, characteristic, complemented
5#20246499C211yesmaximal, characteristic, complemented
6#20246467C211yesmaximal, characteristic, complemented
7#20246387C211yesmaximal, characteristic, complemented
8#20246382C211yesmaximal, characteristic, complemented
9#20246370C211yesmaximal, characteristic
10#20246327C211yesmaximal, characteristic, complemented
11#20246324C211yesmaximal, characteristic, complemented
12#20246247C211yesmaximal, characteristic, complemented
13#20246246C211yesmaximal, characteristic, complemented
14#20246240C211yesmaximal, characteristic, complemented
15#20246235C211yesmaximal, characteristic, complemented
16#20245938C211yesmaximal, characteristic, complemented
17#20245938C211yesmaximal, characteristic, complemented
18#20245931C211yesmaximal, characteristic, complemented
19#20245926C211yesmaximal, characteristic, complemented
20C22⋊Q8×Dic47C211yesmaximal, characteristic, complemented
21#20245909C211yesmaximal, characteristic, complemented
22#20245909C211yesmaximal, characteristic, complemented
23#20245907C211yesmaximal, characteristic, complemented
24#20245889C211yesmaximal, characteristic
25C4×#13093986C211yesmaximal, characteristic, complemented
26C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
27C4×#13093982C211yesmaximal, characteristic, complemented
28C4×#13093980C211yesmaximal, characteristic, complemented
29C2×#15688970C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2368C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689800C4116yescomplemented
34C2×#13094019C2211yescharacteristic
35C2×#13094019C2211yescharacteristic
36C2×#13094013C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13094008C2211yescharacteristic
40C2×#13094000C2211yescharacteristic
41C2×#13093994C2211yescharacteristic
42C2×Q8×Dic47C2211yescharacteristic, complemented
43C2×C4×D188C2211yescharacteristic
44C2×#13093986C2211yescharacteristic
45C2×#13093986C2211yescharacteristic
46C2×#13093986C2211yescharacteristic
47C2×C4×C22⋊D47C2211yescharacteristic
48C2×(C22⋊D47)⋊C4C2211yescharacteristic
49C2×(C22⋊D47)⋊C4C2211yescharacteristic
50C2×#13093982C2211yescharacteristic
51C2×#13093982C2211yescharacteristic
52C2×#13093980C2211yescharacteristic
53C2×#13093980C2211yescharacteristic
54C22×(C2×D47)⋊C4C2211yescharacteristic
55C22×(C2×D47)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D47C2211yescharacteristic
57C2×C22⋊C4×D47C2211yescharacteristic
58C22×C4×Dic47C2211yescharacteristic
59C22×C4×Dic47C2211yescharacteristic
60C2×C42×D47C2211yescharacteristic
61C2×C42×D47C2211yescharacteristic
62C2×C42×D47C2211yescharacteristic, complemented
63#15689030C2211yescharacteristic, complemented
64#15689025C2211yescharacteristic
65#15689022C2211yescharacteristic, complemented
66#15689021C2211yescharacteristic, complemented
67#15689015C2211yescharacteristic
68#15689015C2211yescharacteristic
69#15689015C2211yescharacteristic
70#15689015C2211yescharacteristic
71#15689015C2211yescharacteristic
72#15689015C2211yescharacteristic, complemented
73#15689015C2211yescharacteristic, complemented
74#15689015C2211yescharacteristic, complemented
75#15689014C2211yescharacteristic
76#15689014C2211yescharacteristic
77#15689014C2211yescharacteristic
78#15689014C2211yescharacteristic, complemented
79#15689013C2211yescharacteristic
80#15689013C2211yescharacteristic
81#15689013C2211yescharacteristic, complemented
82#15689013C2211yescharacteristic, complemented
83#15689010C2211yescharacteristic, complemented
84#15689010C2211yescharacteristic, complemented
85#15689010C2211yescharacteristic, complemented
86#15689010C2211yescharacteristic, complemented
87#15689009C2211yescharacteristic, complemented
88#15689009C2211yescharacteristic, complemented
89#15689008C2211yescharacteristic, complemented
90#15689008C2211yescharacteristic, complemented
91#15689006C2211yescharacteristic, complemented
92#15689006C2211yescharacteristic, complemented
93#15689004C2211yescharacteristic, complemented
94#15689004C2211yescharacteristic, complemented
95#15689002C2211yescharacteristic
96#15689002C2211yescharacteristic
97#15689001C2211yescharacteristic
98#15689001C2211yescharacteristic
99#15689001C2211yescharacteristic
100#15689001C2211yescharacteristic
101#15688998C2211yescharacteristic
102#15688998C2211yescharacteristic
103#15688997C2211yescharacteristic
104#15688997C2211yescharacteristic
105#15688997C2211yescharacteristic
106#15688997C2211yescharacteristic, complemented
107#15688994C2211yescharacteristic
108#15688994C2211yescharacteristic
109#15688990C2211yescharacteristic, complemented
110#15688990C2211yescharacteristic, complemented
111#15688988C2211yescharacteristic, complemented
112#15688985C2211yescharacteristic
113#15688985C2211yescharacteristic, complemented
114#15688984C2211yescharacteristic
115#15688983C2211yescharacteristic
116#15688980C2211yescharacteristic
117#15688978C2211yescharacteristic
118C4⋊C4×Dic47C2211yescharacteristic, complemented
119C4⋊C4×Dic47C2211yescharacteristic, complemented
120C4⋊C4×Dic47C2211yescharacteristic, complemented
121C4⋊C4×Dic47C2211yescharacteristic, complemented
122C4⋊C4×Dic47C2211yescharacteristic, complemented
123C4⋊C4×Dic47C2211yescharacteristic, complemented
124C4×Dic47⋊C4C2211yescharacteristic, complemented
125C4×Dic47⋊C4C2211yescharacteristic, complemented
126C4×Dic47⋊C4C2211yescharacteristic, complemented
127C4×C4⋊Dic47C2211yescharacteristic, complemented
128#15688974C2211yescharacteristic, complemented
129#15688974C2211yescharacteristic, complemented
130#15688974C2211yescharacteristic, complemented
131#15688974C2211yescharacteristic, complemented
132C22⋊C4×Dic47C2211yescharacteristic
133C22⋊C4×Dic47C2211yescharacteristic
134C22⋊C4×Dic47C2211yescharacteristic
135C22⋊C4×Dic47C2211yescharacteristic
136C4×(C2×D47)⋊C4C2211yescharacteristic
137C4×(C2×D47)⋊C4C2211yescharacteristic
138C4×(C2×D47)⋊C4C2211yescharacteristic
139C4×(C2×D47)⋊C4C2211yescharacteristic
140C4×(C2×D47)⋊C4C2211yescharacteristic
141C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
142C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
143C4×C22⋊Dic47C2211yescharacteristic
144C4×C22⋊Dic47C2211yescharacteristic
145#15688970C2211yescharacteristic
146#15688970C2211yescharacteristic
147#15688970C2211yescharacteristic
148#15688970C2211yescharacteristic
149#15688970C2211yescharacteristic
150#15688970C2211yescharacteristic
151#15688970C2211yescharacteristic
152#15688970C2211yescharacteristic
153#15688970C2211yescharacteristic
154#15688970C2211yescharacteristic
155#15688970C2211yescharacteristic
156#15688970C2211yescharacteristic
157#15688970C2211yescharacteristic
158#15688970C2211yescharacteristic, complemented
159#15688970C2211yescharacteristic, complemented
160#15688970C2211yescharacteristic, complemented
161#15688970C2211yescharacteristic, complemented
162#15688970C2211yescharacteristic, complemented
163#15688968C2211yescharacteristic, complemented
164#15688968C2211yescharacteristic, complemented
165#15688968C2211yescharacteristic, complemented
166#15688968C2211yescharacteristic, complemented
167C2×C47⋊#95C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170C42×Dic47C2211yescharacteristic, complemented
171C42×Dic47C2211yescharacteristic, complemented
172C42×Dic47C2211yescharacteristic, complemented
173C2×C22⋊Q8×C47C2211yescharacteristic
174C47×#391C2211yescharacteristic, complemented
175C47×#391C2211yescharacteristic, complemented
176C47×#387C2211yescharacteristic, complemented
177C47×#387C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#385C2211yescharacteristic
181C47×#385C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic, complemented
183C4×C4⋊C4×C47C2211yescharacteristic, complemented
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C2×#95×C47C2211yescharacteristic
188C24×D47C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C23×Dic47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C22×C4×D47—24no—
196C22×C4×D47—24no—
197C22×C4×D47—42no—
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209#13094019C2×C418yescomplemented
210#13094019C2×C418yescomplemented
211#13094013C2×C418yescomplemented
212#13094009C2×C418yescomplemented
213#13094009C2×C418yescomplemented
214#13094008C2×C418yescomplemented
215#13094000C2×C418yescomplemented
216#13093994C2×C418yes—
217Q8×Dic47—42no—
218C4×D188—24no—
219#13093986—24no—
220#13093986—42no—
221#13093986C2×C418yescomplemented
222C4×C22⋊D47C2×C418yescomplemented
223(C22⋊D47)⋊C4—24no—
224(C22⋊D47)⋊C4—24no—
225#13093982—24no—
226#13093982C2×C418yescomplemented
227#13093980—24no—
228#13093980C2×C418yescomplemented
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×(C2×D47)⋊C4—24no—
248C2×(C2×D47)⋊C4C2×C418yescomplemented
249C2×(C2×D47)⋊C4C2311yescharacteristic
250C2×(C2×D47)⋊C4C2311yescharacteristic
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C22⋊C4×D47—24no—
277C22⋊C4×D47C2×C418yescomplemented
278C2×C4×Dic47—24no—
279C2×C4×Dic47—42no—
280C2×C4×Dic47C2311yescharacteristic
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C42×D47—24no—
308C42×D47—42no—
309C42×D47—42no—
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C22×Q8×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344C22⋊Q8×C47C2×C418yescomplemented
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C4⋊C4×C47C2311yescharacteristic
351C2×C4⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357C2×C42×C47C2311yescharacteristic
358C2×C42×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376C24×C47C2411yescharacteristic
377C23×D47—22no—
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47C22×C414yes—
384C23×D47C2411yescharacteristic
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C2×Q8×C47—41no—
388C2×Q8×C47—41no—
389C2×Q8×C47C22×C414yescomplemented
390C22×C4×C47—22no—
391C22×C4×C47—22no—
392C22×C4×C47—22no—
393C22×C4×C47—22no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47—41no—
397C22×C4×C47—41no—
398C22×C4×C47C22×C414yes—
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47C22×C414yes—
416C22×Dic47—22no—
417C22×Dic47—22no—
418C22×Dic47—22no—
419C22×Dic47—22no—
420C22×Dic47—22no—
421C22×Dic47—22no—
422C22×Dic47—41no—
423C22×Dic47C22×C414yes—
424C22×Dic47#4114yes—
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C2×D188—22no—
439C2×D188—22no—
440C2×D188—41no—
441C2×D188—41no—
442C2×D188C22×C414yes—
443C2×D188C22×C414yes—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—416no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47C22×C414yes—
475C2×C4×D47C22×C414yes—
476C2×C4×D47C22×C414yescomplemented
477C2×C4×D47#4114yes—
478C4⋊C4×C47—22no—
479C4⋊C4×C47—22no—
480C4⋊C4×C47—41no—
481C4⋊C4×C47—41no—
482C4⋊C4×C47C22×C414yescomplemented
483C4⋊C4×C47C22×C414yescomplemented
484C4⋊C4×C47C22×C414yescomplemented
485C22⋊C4×C47—22no—
486C22⋊C4×C47C22×C414yes—
487C22⋊C4×C47C22×C414yes—
488C22⋊C4×C47#4114yes—
489C42×C47—22no—
490C42×C47—22no—
491C42×C47—41no—
492C42×C47—41no—
493C42×C47—41no—
494C42×C47—41no—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47C22×C414yes—
498(C2×D47)⋊C4—22no—
499(C2×D47)⋊C4—22no—
500(C2×D47)⋊C4—22no—
501(C2×D47)⋊C4—22no—
502(C2×D47)⋊C4—22no—
503(C2×D47)⋊C4—22no—
504(C2×D47)⋊C4—22no—
505(C2×D47)⋊C4—22no—
506(C2×D47)⋊C4—22no—
507(C2×D47)⋊C4—22no—
508(C2×D47)⋊C4—22no—
509(C2×D47)⋊C4—41no—
510(C2×D47)⋊C4—41no—
511(C2×D47)⋊C4—41no—
512(C2×D47)⋊C4—41no—
513(C2×D47)⋊C4C22×C414yes—
514(C2×D47)⋊C4C22×C414yes—
515(C2×D47)⋊C4C22×C414yes—
516(C2×D47)⋊C4C22×C414yes—
517(C2×D47)⋊C4C22×C414yes—
518(C2×D47)⋊C4C22×C414yes—
519(C2×D47)⋊C4C22×C414yes—
520(C2×D47)⋊C4C22×C414yes—
521(C2×D47)⋊C4C22×C414yescomplemented
522(C2×D47)⋊C4C22×C414yescomplemented
523(C2×D47)⋊C4C22×C414yescomplemented
524(C2×D47)⋊C4#4114yes—
525C4⋊Dic47—22no—
526C4⋊Dic47—22no—
527C4⋊Dic47—41no—
528C4⋊Dic47—41no—
529C4⋊Dic47—41no—
530C4⋊Dic47—41no—
531C4⋊Dic47C22×C414yescomplemented
532C4⋊Dic47C22×C414yescomplemented
533Dic47⋊C4—22no—
534Dic47⋊C4—22no—
535Dic47⋊C4—22no—
536Dic47⋊C4—22no—
537Dic47⋊C4C22×C414yescomplemented
538Dic47⋊C4C22×C414yescomplemented
539Dic47⋊C4C22×C414yescomplemented
540C4×Dic47—22no—
541C4×Dic47—22no—
542C4×Dic47—22no—
543C4×Dic47—22no—
544C4×Dic47—22no—
545C4×Dic47—22no—
546C4×Dic47—22no—
547C4×Dic47—22no—
548C4×Dic47—22no—
549C4×Dic47—22no—
550C4×Dic47—22no—
551C4×Dic47—22no—
552C4×Dic47—22no—
553C4×Dic47—22no—
554C4×Dic47—22no—
555C4×Dic47—22no—
556C4×Dic47—22no—
557C4×Dic47—22no—
558C4×Dic47—22no—
559C4×Dic47—41no—
560C4×Dic47—41no—
561C4×Dic47—41no—
562C4×Dic47—41no—
563C4×Dic47—41no—
564C4×Dic47C22×C414yescomplemented
565C4×Dic47C22×C414yescomplemented
566C4×Dic47C22×C414yescomplemented
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47C23×C412yes—
572C23×C47C2×#4112yes—
573C23×C47C2×#4112yes—
574C23×C47C2511yescharacteristic
575C22×D47—21no—
576C22×D47—21no—
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—28no—
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—28no—
593C22×D47—44no—
594C22×D47—44no—
595C22×D47—44no—
596C22×D47—44no—
597C22×D47—44no—
598C22×D47C23×C412yes—
599C22×D47C23×C412yes—
600C22×D47C23×C412yes—
601C22×D47C2×#4112yes—
602C22×D47C2×#4112yes—
603Q8×C47—44no—
604C2×C4×C47—21no—
605C2×C4×C47—21no—
606C2×C4×C47—21no—
607C2×C4×C47—21no—
608C2×C4×C47—21no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—44no—
637C2×C4×C47—44no—
638C2×C4×C47—44no—
639C2×C4×C47C23×C412yes—
640C2×C4×C47C23×C412yes—
641C2×C4×C47C23×C412yes—
642C2×C4×C47C23×C412yes—
643C2×C4×C47C23×C412yes—
644C2×C4×C47C23×C412yes—
645C2×C4×C47C2×#4112yes—
646C2×C4×C47C2×#4112yes—
647C2×C4×C47C2×#4112yes—
648C2×C4×C47C2×#4112yes—
649C22⋊D47—28no—
650C2×Dic47—28no—
651C2×Dic47—21no—
652C2×Dic47—21no—
653C2×Dic47—21no—
654C2×Dic47—21no—
655C2×Dic47—21no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—28no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—44no—
682C2×Dic47C23×C412yes—
683C2×Dic47C23×C412yes—
684C2×Dic47C23×C412yes—
685C2×Dic47C23×C412yes—
686C2×Dic47C23×C412yes—
687C2×Dic47C2×#4112yes—
688C2×Dic47C2×#4112yes—
689C2×Dic47C2×#4112yes—
690C2×Dic47C2×#4112yes—
691C2×Dic47H(5,𝔽2)12yes—
692D188—28no—
693D188—44no—
694C4×D47—28no—
695C4×D47—28no—
696C4×D47—44no—
697C4×D47—44no—
698C4×D47—44no—
699C4×D47—44no—
700C4×D47—44no—
701C4×D47—44no—
702C4×D47—44no—
703C4×D47—44no—
704C4×D47—44no—
705C4×#551—471nomaximal, Sylow
706C22×C47—22no—
707C22×C47—22no—
708C22×C47—22no—
709C22×C47—22no—
710C22×C47—22no—
711C22×C47—22no—
712C22×C47C4×#4114yes—
713C22×C47C24×C411yescharacteristic
714C22×C47C22×#4111yescharacteristic
715C22×C47C22×#4111yescharacteristic
716C22×C47C22×#4111yescharacteristic
717C22×C47C22×#4111yescharacteristic
718C22×C47C2×H(5,𝔽2)11yescharacteristic
719C22×C47#58511yescharacteristic
720C2×D47—22no—
721C2×D47—22no—
722C2×D47—22no—
723C2×D47—22no—
724C2×D47—22no—
725C2×D47—22no—
726C2×D47—22no—
727C2×D47—22no—
728C2×D47—22no—
729C2×D47—22no—
730C2×D47—22no—
731C2×D47—22no—
732C2×D47—416no—
733C2×D47—41no—
734C2×D47—41no—
735C2×D47—41no—
736C2×D47—41no—
737C2×D47—41no—
738C2×D47—41no—
739C2×D47—41no—
740C2×D47—41no—
741C2×D47C4×#4114yes—
742C4×C47—22no—
743C4×C47—22no—
744C4×C47—22no—
745C4×C47—22no—
746C4×C47—22no—
747C4×C47—22no—
748C4×C47—22no—
749C4×C47—22no—
750C4×C47—22no—
751C4×C47—22no—
752C4×C47—41no—
753C4×C47—41no—
754C4×C47—41no—
755C4×C47—41no—
756Dic47—22no—
757Dic47—22no—
758Dic47—22no—
759Dic47—22no—
760Dic47—22no—
761Dic47—22no—
762Dic47—22no—
763Dic47—41no—
764Dic47—41no—
765Dic47—41no—
766Dic47—41no—
767Dic47—41no—
768Dic47#55114yescomplemented
769C2×#551—471no—
770#2374—471no—
771#2373—471no—
772#2373—471no—
773#2372—471no—
774#2368—471no—
775#2368D4711yescharacteristic, complemented
776#2359—471no—
777#2359—471no—
778#2358—471no—
779#2353—471no—
780#2353—471no—
781#2343—471no—
782#2343—471no—
783#2342—471no—
784#2342—471no—
785C4×#126—471no—
786C4×#126—471no—
787C4×#124—471no—
788C4×C22⋊Q8—471no—
789C4×C22⋊Q8—471no—
790C4×#123—471no—
791C4×#123—471no—
792C4×#123—471no—
793C4×#120—471no—
794C42×D4—471no—
795C42×D4—471no—
796C4×#117—471no—
797C4×#117—471no—
798C2×C4×C22⋊C4—471no—
799C2×C4×C22⋊C4—471no—
800C2×C47—24no—
801C2×C47C2×C4×#4111yescharacteristic
802C2×C47C2×C4×#4111yescharacteristic
803C2×C47C4×H(5,𝔽2)11yescharacteristic
804C2×C47C2×#55111yescharacteristic
805C2×C47#347511yescharacteristic
806C2×C47#347511yescharacteristic
807C2×C47#348111yescharacteristic
808D47—24no—
809D47—42no—
810D47—42no—
811C24×C4—471no—
812#551—4716no—
813C2×#126—471no—
814C2×#126—471no—
815C2×#124—471no—
816C2×#123—471no—
817C2×#123—471no—
818C2×#123—471no—
819C2×C22⋊Q8—471no—
820C2×C22⋊Q8C2×D4711yescharacteristic
821C2×#120—471no—
822C2×C4×Q8—471no—
823C2×C4×D4—471no—
824C2×C4×D4—471no—
825C2×C4×D4—471no—
826C2×C4×D4—471no—
827C2×C4×D4—471no—
828C2×C4×D4—471no—
829C2×C4×D4—471no—
830C2×#117—471no—
831C2×#117—471no—
832C2×#117—471no—
833C2×#117—471no—
834C22×C22⋊C4—471no—
835C22×C22⋊C4—471no—
836C22×C22⋊C4—471no—
837C22×C22⋊C4—471no—
838C22×C42—471no—
839C22×C42—471no—
840C22×C42—471no—
841C22×C42—471no—
842C22×C42—471no—
843#391—471no—
844#391C2×D4711yescharacteristic, complemented
845#391C2×D4711yescharacteristic, complemented
846#390—471no—
847#389—471no—
848#389—471no—
849#388—471no—
850#388—471no—
851#388—471no—
852#388—471no—
853#388—471no—
854#388—471no—
855#388—471no—
856#388—471no—
857#388—471no—
858#388—471no—
859#388—471no—
860#388—471no—
861#388—471no—
862#388—471no—
863#388—471no—
864#388—471no—
865#387—471no—
866#387—471no—
867#387—471no—
868#387—471no—
869#387—471no—
870#387—471no—
871#387—471no—
872#387—471no—
873#387—471no—
874#387—471no—
875#387—471no—
876#387—471no—
877#387C2×D4711yescharacteristic, complemented
878#387C2×D4711yescharacteristic, complemented
879#387C2×D4711yescharacteristic, complemented
880#387C2×D4711yescharacteristic, complemented
881#386—471no—
882#386—471no—
883#386—471no—
884#386—471no—
885#386—471no—
886#386—471no—
887#385—471no—
888#385—471no—
889#385—471no—
890#385—471no—
891#385—471no—
892#385—471no—
893#385—471no—
894#385—471no—
895#385C2×D4711yescharacteristic
896#385C2×D4711yescharacteristic
897#383—471no—
898#383—471no—
899#382—471no—
900#381—471no—
901#381—471no—
902#381—471no—
903#380—471no—
904#380—471no—
905#379—471no—
906C4×C4⋊C4—471no—
907C4×C4⋊C4—471no—
908C4×C4⋊C4—471no—
909C4×C4⋊C4—471no—
910C4×C4⋊C4—471no—
911C4×C4⋊C4—471no—
912C4×C4⋊C4—471no—
913C4×C4⋊C4—471no—
914C4×C4⋊C4—471no—
915C4×C4⋊C4—471no—
916C4×C4⋊C4—471no—
917C4×C4⋊C4—471no—
918C4×C4⋊C4—471no—
919C4×C4⋊C4—471no—
920C4×C4⋊C4C2×D4711yescharacteristic, complemented
921C4×C4⋊C4C2×D4711yescharacteristic, complemented
922C4×C22⋊C4—471no—
923C4×C22⋊C4—471no—
924C4×C22⋊C4—471no—
925C4×C22⋊C4—471no—
926C4×C22⋊C4—471no—
927C4×C22⋊C4—471no—
928C4×C22⋊C4—471no—
929C4×C22⋊C4—471no—
930C4×C22⋊C4—471no—
931C4×C22⋊C4—471no—
932C4×C22⋊C4—471no—
933C4×C22⋊C4—471no—
934C4×C22⋊C4—471no—
935C4×C22⋊C4—471no—
936C4×C22⋊C4—471no—
937C4×C22⋊C4—471no—
938C4×C22⋊C4—471no—
939C4×C22⋊C4—471no—
940C4×C22⋊C4—471no—
941C4×C22⋊C4—471no—
942C4×C22⋊C4—471no—
943C4×C22⋊C4—471no—
944C4×C22⋊C4—471no—
945C4×C22⋊C4—471no—
946C4×C22⋊C4—471no—
947C4×C22⋊C4—471no—
948C4×C22⋊C4—471no—
949C4×C22⋊C4—471no—
950C4×C22⋊C4—471no—
951C4×C22⋊C4—471no—
952C4×C22⋊C4—471no—
953C4×C22⋊C4C2×D4711yescharacteristic
954C4×C22⋊C4C2×D4711yescharacteristic
955C4×C22⋊C4C2×D4711yescharacteristic
956#376—471no—
957#376—471no—
958#376—471no—
959#376—471no—
960C2×#95—471no—
961C2×#95—471no—
962C2×#95—471no—
963C2×#95C2×D4711yescharacteristic
964C43—471no—
965C43—471no—
966C43—471no—
967C47C4×#55111yescharacteristic, complemented, Sylow
968C25—471no—
969C22×Q8C22×D4711yescharacteristic
970C22×D4—471no—
971C22×D4—471no—
972C22×D4—471no—
973C23×C4—471no—
974C23×C4—471no—
975C23×C4—471no—
976C23×C4—471no—
977C23×C4—471no—
978C23×C4—471no—
979C23×C4—471no—
980C23×C4—471no—
981C23×C4—471no—
982C23×C4—471no—
983C23×C4—471no—
984C23×C4—471no—
985C23×C4—471no—
986C23×C4—471no—
987C23×C4—944no—
988C23×C4—944no—
989C23×C4—1882no—
990C23×C4C22×D4711yescharacteristic
991C23×C4C22×D4711yescharacteristic
992C23×C4C22×D4711yescharacteristic
993#126—478no—
994#126—478no—
995#124—478no—
996#123—478no—
997#123—478no—
998#123—478no—
999C22⋊Q8—478no—
1000C22⋊Q8C4×D4718yescomplemented
1001#120—478no—
1002C4×Q8—1882no—
1003C4×D4—478no—
1004C4×D4—478no—
1005C4×D4—944no—
1006C4×D4—944no—
1007C4×D4—944no—
1008C4×D4—944no—
1009C4×D4—1882no—
1010#117—478no—
1011#117—478no—
1012#117—944no—
1013#117—944no—
1014C2×C4⋊C4—471no—
1015C2×C4⋊C4—471no—
1016C2×C4⋊C4—471no—
1017C2×C4⋊C4—471no—
1018C2×C4⋊C4—471no—
1019C2×C4⋊C4—471no—
1020C2×C4⋊C4—471no—
1021C2×C4⋊C4—471no—
1022C2×C4⋊C4—471no—
1023C2×C4⋊C4—471no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—471no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4C22×D4711yescharacteristic
1030C2×C4⋊C4C22×D4711yescharacteristic
1031C2×C4⋊C4C22×D4711yescharacteristic
1032C2×C4⋊C4C22×D4711yescharacteristic
1033C2×C4⋊C4C22×D4711yescharacteristic
1034C2×C4⋊C4C22×D4711yescharacteristic
1035C2×C4⋊C4C22×D4711yescharacteristic
1036C2×C22⋊C4—471no—
1037C2×C22⋊C4—478no—
1038C2×C22⋊C4—471no—
1039C2×C22⋊C4—471no—
1040C2×C22⋊C4—471no—
1041C2×C22⋊C4—471no—
1042C2×C22⋊C4—471no—
1043C2×C22⋊C4—471no—
1044C2×C22⋊C4—471no—
1045C2×C22⋊C4—471no—
1046C2×C22⋊C4—471no—
1047C2×C22⋊C4—471no—
1048C2×C22⋊C4—471no—
1049C2×C22⋊C4—471no—
1050C2×C22⋊C4—478no—
1051C2×C22⋊C4—471no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—471no—
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—471no—
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—944no—
1069C2×C22⋊C4—944no—
1070C2×C22⋊C4C22×D4711yescharacteristic
1071C2×C22⋊C4C22×D4711yescharacteristic
1072C2×C22⋊C4C22×D4711yescharacteristic
1073C2×C22⋊C4C22×D4711yescharacteristic
1074C2×C42—471no—
1075C2×C42—471no—
1076C2×C42—471no—
1077C2×C42—471no—
1078C2×C42—471no—
1079C2×C42—471no—
1080C2×C42—471no—
1081C2×C42—471no—
1082C2×C42—471no—
1083C2×C42—471no—
1084C2×C42—471no—
1085C2×C42—471no—
1086C2×C42—471no—
1087C2×C42—471no—
1088C2×C42—471no—
1089C2×C42—471no—
1090C2×C42—471no—
1091C2×C42—471no—
1092C2×C42—471no—
1093C2×C42—471no—
1094C2×C42—471no—
1095C2×C42—471no—
1096C2×C42—471no—
1097C2×C42—471no—
1098C2×C42—471no—
1099C2×C42—471no—
1100C2×C42—471no—
1101C2×C42—944no—
1102C2×C42—944no—
1103C2×C42—1882no—
1104C2×C42—1882no—
1105C2×C42—1882no—
1106C2×C42C22×D4711yescharacteristic
1107C2×C42C22×D4711yescharacteristic
1108C2×C42C22×D4711yescharacteristic
1109C2×C42C22×D4711yescharacteristic
1110C2×C42C22×D4711yescharacteristic
1111C2×C42C22×D4711yescharacteristic
1112#95—471no—
1113#95—471no—
1114#95—471no—
1115#95—471no—
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95C22×D4711yescharacteristic
1143#95C22×D4711yescharacteristic
1144#95C22×D4711yescharacteristic
1145#95C22×D4711yescharacteristic
1146#95C22×D4711yescharacteristic
1147#95C22×D4711yescharacteristic
1148#95C22×D4711yescharacteristic
1149#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156C24—471no—
1157C24—471no—
1158C24—471no—
1159C24—474no—
1160C24—942no—
1161C24—942no—
1162C24—942no—
1163C24—942no—
1164C24—1881no—
1165C24—1881no—
1166C24C23×D4711yescharacteristic
1167C2×Q8—41no—
1168C2×Q8—41no—
1169C2×Q8C2×C4×D4714yescomplemented
1170C2×D4—474no—
1171C2×D4—474no—
1172C2×D4—474no—
1173C2×D4—942no—
1174C2×D4—942no—
1175C2×D4—942no—
1176C2×D4—942no—
1177C2×D4—1881no—
1178C2×D4—1881no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—471no—
1188C22×C4—474no—
1189C22×C4—474no—
1190C22×C4—471no—
1191C22×C4—471no—
1192C22×C4—471no—
1193C22×C4—471no—
1194C22×C4—471no—
1195C22×C4—471no—
1196C22×C4—471no—
1197C22×C4—474no—
1198C22×C4—474no—
1199C22×C4—474no—
1200C22×C4—474no—
1201C22×C4—471no—
1202C22×C4—471no—
1203C22×C4—471no—
1204C22×C4—471no—
1205C22×C4—471no—
1206C22×C4—942no—
1207C22×C4—942no—
1208C22×C4—942no—
1209C22×C4—942no—
1210C22×C4—942no—
1211C22×C4—942no—
1212C22×C4—942no—
1213C22×C4—942no—
1214C22×C4—942no—
1215C22×C4—942no—
1216C22×C4—942no—
1217C22×C4—942no—
1218C22×C4—942no—
1219C22×C4—942no—
1220C22×C4—942no—
1221C22×C4—942no—
1222C22×C4—942no—
1223C22×C4—942no—
1224C22×C4—942no—
1225C22×C4—942no—
1226C22×C4—942no—
1227C22×C4—942no—
1228C22×C4—942no—
1229C22×C4—942no—
1230C22×C4—942no—
1231C22×C4—942no—
1232C22×C4—1881no—
1233C22×C4—1881no—
1234C22×C4—1881no—
1235C22×C4—1881no—
1236C22×C4—1881no—
1237C22×C4—1881no—
1238C22×C4—1881no—
1239C22×C4—1881no—
1240C22×C4—1881no—
1241C22×C4—18816no—
1242C22×C4—1881no—
1243C22×C4C2×C4×D4714yes—
1244C22×C4C23×D4711yescharacteristic
1245C22×C4C23×D4711yescharacteristic
1246C22×C4C23×D4711yescharacteristic
1247C22×C4C23×D4711yescharacteristic
1248C22×C4C23×D4711yescharacteristic
1249C22×C4C23×D4711yescharacteristic
1250C22×C4C23×D4711yescharacteristic
1251C22×C4C23×D4711yescharacteristic
1252C22×C4C23×D4711yescharacteristic
1253C22×C4C23×D4711yescharacteristic
1254C22×C4C23×D4711yescharacteristic
1255C22×C4C23×D4711yescharacteristic
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—474no—
1263C4⋊C4—474no—
1264C4⋊C4—474no—
1265C4⋊C4—474no—
1266C4⋊C4—474no—
1267C4⋊C4—942no—
1268C4⋊C4—942no—
1269C4⋊C4—942no—
1270C4⋊C4—942no—
1271C4⋊C4—942no—
1272C4⋊C4—942no—
1273C4⋊C4—1881no—
1274C4⋊C4—1881no—
1275C4⋊C4—1881no—
1276C4⋊C4—1881no—
1277C4⋊C4C2×C4×D4714yescomplemented
1278C4⋊C4C2×C4×D4714yescomplemented
1279C4⋊C4C2×C4×D4714yescomplemented
1280C22⋊C4—22no—
1281C22⋊C4—474no—
1282C22⋊C4—474no—
1283C22⋊C4—474no—
1284C22⋊C4—474no—
1285C22⋊C4—474no—
1286C22⋊C4—474no—
1287C22⋊C4—474no—
1288C22⋊C4—474no—
1289C22⋊C4—474no—
1290C22⋊C4—474no—
1291C22⋊C4—474no—
1292C22⋊C4—474no—
1293C22⋊C4—474no—
1294C22⋊C4—942no—
1295C22⋊C4—942no—
1296C22⋊C4—942no—
1297C22⋊C4—942no—
1298C22⋊C4—942no—
1299C22⋊C4—942no—
1300C22⋊C4—942no—
1301C22⋊C4—942no—
1302C22⋊C4—942no—
1303C22⋊C4—942no—
1304C22⋊C4—942no—
1305C22⋊C4—942no—
1306C22⋊C4—942no—
1307C22⋊C4—1881no—
1308C22⋊C4—1881no—
1309C22⋊C4—1881no—
1310C22⋊C4—1881no—
1311C22⋊C4C2×C4×D4714yes—
1312C22⋊C4C2×C4×D4714yes—
1313C22⋊C4#1062535414yes—
1314C42—22no—
1315C42—22no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—474no—
1321C42—474no—
1322C42—474no—
1323C42—942no—
1324C42—942no—
1325C42—942no—
1326C42—942no—
1327C42—942no—
1328C42—942no—
1329C42—942no—
1330C42—942no—
1331C42—942no—
1332C42—942no—
1333C42—942no—
1334C42—942no—
1335C42—942no—
1336C42—942no—
1337C42—942no—
1338C42—942no—
1339C42—942no—
1340C42—942no—
1341C42—942no—
1342C42—1881no—
1343C42—1881no—
1344C42—1881no—
1345C42—1881no—
1346C42—1881no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—472no—
1352C23—472no—
1353C23—472no—
1354C23—472no—
1355C23—472no—
1356C23—948no—
1357C23—941no—
1358C23—941no—
1359C23—941no—
1360C23—941no—
1361C23—948no—
1362C23—941no—
1363C23—941no—
1364C23—941no—
1365C23—941no—
1366C23—941no—
1367C23—941no—
1368C23—941no—
1369C23—941no—
1370C23—941no—
1371C23—941no—
1372C23—941no—
1373C23—941no—
1374C23—1884no—
1375C23—1884no—
1376C23—1884no—
1377C23—1884no—
1378C23—1884no—
1379C23C22×C4×D4712yes—
1380C23#41×D4712yes—
1381C23C2×#1062535412yes—
1382C23C24×D4711yescharacteristic
1383Q8—44no—
1384D4—948no—
1385D4—948no—
1386D4—1884no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—472no—
1423C2×C4—472no—
1424C2×C4—472no—
1425C2×C4—472no—
1426C2×C4—472no—
1427C2×C4—472no—
1428C2×C4—472no—
1429C2×C4—472no—
1430C2×C4—472no—
1431C2×C4—472no—
1432C2×C4—948no—
1433C2×C4—948no—
1434C2×C4—948no—
1435C2×C4—948no—
1436C2×C4—941no—
1437C2×C4—941no—
1438C2×C4—941no—
1439C2×C4—941no—
1440C2×C4—941no—
1441C2×C4—941no—
1442C2×C4—941no—
1443C2×C4—941no—
1444C2×C4—941no—
1445C2×C4—941no—
1446C2×C4—941no—
1447C2×C4—941no—
1448C2×C4—941no—
1449C2×C4—941no—
1450C2×C4—941no—
1451C2×C4—941no—
1452C2×C4—941no—
1453C2×C4—941no—
1454C2×C4—941no—
1455C2×C4—941no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—941no—
1462C2×C4—941no—
1463C2×C4—941no—
1464C2×C4—941no—
1465C2×C4—1884no—
1466C2×C4—1884no—
1467C2×C4—1884no—
1468C2×C4—1884no—
1469C2×C4—1884no—
1470C2×C4—1884no—
1471C2×C4—1884no—
1472C2×C4—1884no—
1473C2×C4—1884no—
1474C2×C4—1884no—
1475C2×C4C22×C4×D4712yes—
1476C2×C4C22×C4×D4712yes—
1477C2×C4C22×C4×D4712yes—
1478C2×C4C22×C4×D4712yes—
1479C2×C4C22×C4×D4712yes—
1480C2×C4C22×C4×D4712yes—
1481C2×C4#41×D4712yes—
1482C2×C4#41×D4712yes—
1483C2×C4C2×#1062535412yes—
1484C2×C4C2×#1062535412yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—474no—
1492C22—942no—
1493C22—942no—
1494C22—942no—
1495C22—942no—
1496C22—942no—
1497C22—942no—
1498C22—942no—
1499C22—942no—
1500C22—942no—
1501C22—942no—
1502C22—942no—
1503C22—942no—
1504C22—18816no—
1505C22—1881no—
1506C22—1881no—
1507C22—1881no—
1508C22—1881no—
1509C22—1881no—
1510C22—1881no—
1511C22—1881no—
1512C22—1881no—
1513C22C4×#1062535414yes—
1514C22C23×C4×D4711yescharacteristic
1515C22C2×#41×D4711yescharacteristic
1516C22C2×#41×D4711yescharacteristic
1517C22C2×#41×D4711yescharacteristic
1518C22C22×#1062535411yescharacteristic
1519C22H(5,𝔽2)×D4711yescharacteristic
1520C22#1568995811yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—474no—
1536C4—942no—
1537C4—942no—
1538C4—942no—
1539C4—942no—
1540C4—942no—
1541C4—942no—
1542C4—942no—
1543C4—1881no—
1544C4—1881no—
1545C4—1881no—
1546C4—1881no—
1547C4—1881no—
1548C2—24no—
1549C2—944no—
1550C2—1882no—
1551C2—1882no—
1552C2C4×#41×D4711yescharacteristic
1553C2C2×C4×#1062535411yescharacteristic
1554C2#2025659211yescharacteristic
1555C2#551×D4711yescharacteristic
1556C2#2025694311yescharacteristic
1557C2#2025695411yescharacteristic
1558C2#2025699911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2368C2
socle, cosocleC23×C47C25
prime radicalC2×#13093994C22
hypercenter#2368D47
hypocenterC47C4×#551
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2368

Complements

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

NH ≅ G/Ntype
2. #20246517C2semidirect
3. #20246507C2semidirect
4. #20246502C2semidirect
5. #20246499C2semidirect
6. #20246467C2semidirect
7. #20246387C2semidirect
8. #20246382C2semidirect
10. #20246327C2semidirect
11. #20246324C2semidirect
12. #20246247C2semidirect
13. #20246246C2semidirect
14. #20246240C2semidirect
15. #20246235C2semidirect
16. #20245938C2semidirect
17. #20245938C2semidirect
18. #20245931C2semidirect
19. #20245926C2semidirect
20. C22⋊Q8×Dic47C2semidirect
21. #20245909C2semidirect
22. #20245909C2semidirect
23. #20245907C2semidirect
25. C4×#13093986C2semidirect
26. C4×(C22⋊D47)⋊C4C2semidirect
27. C4×#13093982C2semidirect
28. C4×#13093980C2semidirect
29. C2×#15688970C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2368C2semidirect
33. #15689800C4semidirect
42. C2×Q8×Dic47C22semidirect
62. C2×C42×D47C22semidirect
63. #15689030C22semidirect
65. #15689022C22semidirect
66. #15689021C22semidirect
72. #15689015C22semidirect
73. #15689015C22semidirect
74. #15689015C22semidirect
78. #15689014C22semidirect
81. #15689013C22semidirect
82. #15689013C22semidirect
83. #15689010C22semidirect
84. #15689010C22semidirect
85. #15689010C22semidirect
86. #15689010C22semidirect
87. #15689009C22semidirect
88. #15689009C22semidirect
89. #15689008C22semidirect
90. #15689008C22semidirect
91. #15689006C22semidirect
92. #15689006C22semidirect
93. #15689004C22semidirect
94. #15689004C22semidirect
106. #15688997C22semidirect
109. #15688990C22semidirect
110. #15688990C22semidirect
111. #15688988C22semidirect
113. #15688985C22semidirect
118. C4⋊C4×Dic47C22semidirect
119. C4⋊C4×Dic47C22semidirect
120. C4⋊C4×Dic47C22semidirect
121. C4⋊C4×Dic47C22semidirect
122. C4⋊C4×Dic47C22semidirect
123. C4⋊C4×Dic47C22semidirect
124. C4×Dic47⋊C4C22semidirect
125. C4×Dic47⋊C4C22semidirect
126. C4×Dic47⋊C4C22semidirect
127. C4×C4⋊Dic47C22semidirect
128. #15688974C22semidirect
129. #15688974C22semidirect
130. #15688974C22semidirect
131. #15688974C22semidirect
141. C4×(C2×D47)⋊C4C22semidirect
142. C4×(C2×D47)⋊C4C22semidirect
158. #15688970C22semidirect
159. #15688970C22semidirect
160. #15688970C22semidirect
161. #15688970C22semidirect
162. #15688970C22semidirect
163. #15688968C22semidirect
164. #15688968C22semidirect
165. #15688968C22semidirect
166. #15688968C22semidirect
170. C42×Dic47C22semidirect
171. C42×Dic47C22semidirect
172. C42×Dic47C22semidirect
174. C47×#391C22semidirect
175. C47×#391C22semidirect
176. C47×#387C22semidirect
177. C47×#387C22semidirect
178. C47×#387C22semidirect
179. C47×#387C22semidirect
182. C4×C4⋊C4×C47C22semidirect
183. C4×C4⋊C4×C47C22semidirect
209. #13094019C2×C4semidirect
210. #13094019C2×C4semidirect
211. #13094013C2×C4semidirect
212. #13094009C2×C4semidirect
213. #13094009C2×C4semidirect
214. #13094008C2×C4semidirect
215. #13094000C2×C4semidirect
221. #13093986C2×C4semidirect
222. C4×C22⋊D47C2×C4semidirect
226. #13093982C2×C4semidirect
228. #13093980C2×C4semidirect
248. C2×(C2×D47)⋊C4C2×C4semidirect
277. C22⋊C4×D47C2×C4semidirect
344. C22⋊Q8×C47C2×C4semidirect
389. C2×Q8×C47C22×C4semidirect
476. C2×C4×D47C22×C4semidirect
482. C4⋊C4×C47C22×C4semidirect
483. C4⋊C4×C47C22×C4semidirect
484. C4⋊C4×C47C22×C4semidirect
521. (C2×D47)⋊C4C22×C4semidirect
522. (C2×D47)⋊C4C22×C4semidirect
523. (C2×D47)⋊C4C22×C4semidirect
531. C4⋊Dic47C22×C4semidirect
532. C4⋊Dic47C22×C4semidirect
537. Dic47⋊C4C22×C4semidirect
538. Dic47⋊C4C22×C4semidirect
539. Dic47⋊C4C22×C4semidirect
564. C4×Dic47C22×C4semidirect
565. C4×Dic47C22×C4semidirect
566. C4×Dic47C22×C4semidirect
768. Dic47#551semidirect
775. #2368D47semidirect
844. #391C2×D47semidirect
845. #391C2×D47semidirect
877. #387C2×D47semidirect
878. #387C2×D47semidirect
879. #387C2×D47semidirect
880. #387C2×D47semidirect
920. C4×C4⋊C4C2×D47semidirect
921. C4×C4⋊C4C2×D47semidirect
967. C47C4×#551semidirect
1000. C22⋊Q8C4×D47semidirect
1169. C2×Q8C2×C4×D47semidirect
1277. C4⋊C4C2×C4×D47semidirect
1278. C4⋊C4C2×C4×D47semidirect
1279. C4⋊C4C2×C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156898002
#202465172
#202465072
#202465022
#202464992
#202464672
#202463872
#202463822
#202463702
#202463272
#202463242
#202462472
#202462462
#202462402
#202462352
#202459382
#202459312
#202459262
C22⋊Q8×Dic472
#202459092
#202459072
#202458892
C4×#130939862
C4×(C22⋊D47)⋊C42
C4×#130939822
C4×#130939802
C2×#156889702
C4×C22⋊C4×D472
C47×#23682
C4×#55147