Finite Group Databasebeta

← #26389567

Subgroups — #26389567

Order 12032.

2176 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251757C211yesmaximal, characteristic, complemented
2#20251754C211yesmaximal, characteristic, complemented
3#20251716C211yesmaximal, characteristic, complemented
4#20251685C211yesmaximal, characteristic, complemented
5#20249423C211yesmaximal, characteristic, complemented
6#20249421C211yesmaximal, characteristic, complemented
7#20249378C211yesmaximal, characteristic, complemented
8#20249376C211yesmaximal, characteristic, complemented
9#20248886C211yesmaximal, characteristic, complemented
10#20248882C211yesmaximal, characteristic, complemented
11#20248453C211yesmaximal, characteristic, complemented
12#20248445C211yesmaximal, characteristic, complemented
13#20247982C211yesmaximal, characteristic, complemented
14#20247737C211yesmaximal, characteristic, complemented
15#20247641C211yesmaximal, characteristic, complemented
16#20247633C211yesmaximal, characteristic, complemented
17#20247183C211yesmaximal, characteristic, complemented
18#20247111C211yesmaximal, characteristic, complemented
19#20247037C211yesmaximal, characteristic, complemented
20#20246951C211yesmaximal, characteristic, complemented
21#20246848C211yesmaximal, characteristic, complemented
22#20246846C211yesmaximal, characteristic, complemented
23#20246836C211yesmaximal, characteristic, complemented
24#20246741C211yesmaximal, characteristic
25#20246042C211yesmaximal, characteristic, complemented
26#20245986C211yesmaximal, characteristic, complemented
27#20245983C211yesmaximal, characteristic, complemented
28C4×#13094001C211yesmaximal, characteristic, complemented
29C2×#15689023C211yesmaximal, characteristic, complemented
30C4×D4×Dic47C211yesmaximal, characteristic, complemented
31C47×#2321C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C2×#13094019C2211yescharacteristic, complemented
34C2×#13094017C2211yescharacteristic, complemented
35C2×#13094014C2211yescharacteristic, complemented
36C2×#13094010C2211yescharacteristic
37C2×#13094010C2211yescharacteristic
38C2×#13094008C2211yescharacteristic, complemented
39C2×#13094005C2211yescharacteristic, complemented
40C2×#13094001C2211yescharacteristic
41C2×#13094001C2211yescharacteristic, complemented
42C2×#13093996C2211yescharacteristic
43C2×#13093996C2211yescharacteristic
44C2×#13093992C2211yescharacteristic
45C2×C4×Dic94C2211yescharacteristic, complemented
46C2×D4×Dic47C2211yescharacteristic
47C2×D4×Dic47C2211yescharacteristic
48C22×Dic47⋊C4C2211yescharacteristic
49C22×C22⋊Dic47C2211yescharacteristic
50C22×(C2×D47)⋊C4C2211yescharacteristic
51C22×(C2×D47)⋊C4C2211yescharacteristic
52C22×C4×Dic47C2211yescharacteristic
53C22×C4×Dic47C2211yescharacteristic, complemented
54#15689064C2211yescharacteristic, complemented
55#15689063C2211yescharacteristic, complemented
56#15689060C2211yescharacteristic, complemented
57#15689059C2211yescharacteristic, complemented
58#15689057C2211yescharacteristic, complemented
59#15689056C2211yescharacteristic, complemented
60#15689055C2211yescharacteristic, complemented
61#15689054C2211yescharacteristic, complemented
62#15689052C2211yescharacteristic, complemented
63#15689051C2211yescharacteristic, complemented
64#15689051C2211yescharacteristic, complemented
65#15689050C2211yescharacteristic, complemented
66#15689050C2211yescharacteristic, complemented
67#15689049C2211yescharacteristic, complemented
68#15689048C2211yescharacteristic, complemented
69#15689048C2211yescharacteristic, complemented
70#15689046C2211yescharacteristic, complemented
71#15689046C2211yescharacteristic, complemented
72#15689046C2211yescharacteristic, complemented
73#15689045C2211yescharacteristic, complemented
74#15689039C2211yescharacteristic
75#15689039C2211yescharacteristic
76#15689039C2211yescharacteristic
77#15689039C2211yescharacteristic
78#15689039C2211yescharacteristic, complemented
79#15689039C2211yescharacteristic, complemented
80#15689038C2211yescharacteristic
81#15689038C2211yescharacteristic
82#15689037C2211yescharacteristic, complemented
83#15689037C2211yescharacteristic, complemented
84#15689031C2211yescharacteristic
85#15689031C2211yescharacteristic
86#15689027C2211yescharacteristic, complemented
87#15689027C2211yescharacteristic, complemented
88#15689023C2211yescharacteristic
89#15689023C2211yescharacteristic
90#15689023C2211yescharacteristic
91#15689023C2211yescharacteristic
92#15689023C2211yescharacteristic
93#15689023C2211yescharacteristic
94#15689023C2211yescharacteristic
95#15689023C2211yescharacteristic
96#15689023C2211yescharacteristic
97#15689023C2211yescharacteristic
98#15689023C2211yescharacteristic
99#15689023C2211yescharacteristic
100#15689023C2211yescharacteristic, complemented
101#15689023C2211yescharacteristic, complemented
102#15689020C2211yescharacteristic, complemented
103#15689020C2211yescharacteristic, complemented
104#15689020C2211yescharacteristic, complemented
105#15689018C2211yescharacteristic, complemented
106#15689017C2211yescharacteristic, complemented
107#15689016C2211yescharacteristic, complemented
108#15689016C2211yescharacteristic, complemented
109#15689016C2211yescharacteristic, complemented
110#15689016C2211yescharacteristic, complemented
111#15689016C2211yescharacteristic, complemented
112#15689016C2211yescharacteristic, complemented
113#15689016C2211yescharacteristic, complemented
114#15689016C2211yescharacteristic, complemented
115#15689016C2211yescharacteristic, complemented
116#15689015C2211yescharacteristic, complemented
117#15689015C2211yescharacteristic, complemented
118#15689015C2211yescharacteristic, complemented
119#15689014C2211yescharacteristic, complemented
120#15689014C2211yescharacteristic, complemented
121#15689014C2211yescharacteristic, complemented
122#15689014C2211yescharacteristic, complemented
123#15689014C2211yescharacteristic, complemented
124#15689014C2211yescharacteristic, complemented
125#15689013C2211yescharacteristic, complemented
126#15689013C2211yescharacteristic, complemented
127#15689013C2211yescharacteristic, complemented
128#15689012C2211yescharacteristic, complemented
129#15689012C2211yescharacteristic, complemented
130#15689012C2211yescharacteristic, complemented
131#15689012C2211yescharacteristic, complemented
132#15689012C2211yescharacteristic, complemented
133#15689011C2211yescharacteristic, complemented
134#15689011C2211yescharacteristic, complemented
135#15689011C2211yescharacteristic, complemented
136#15689010C2211yescharacteristic, complemented
137#15689006C2211yescharacteristic, complemented
138#15689003C2211yescharacteristic
139#15689003C2211yescharacteristic, complemented
140#15689002C2211yescharacteristic, complemented
141#15689002C2211yescharacteristic, complemented
142#15689000C2211yescharacteristic, complemented
143#15688998C2211yescharacteristic
144#15688995C2211yescharacteristic
145#15688995C2211yescharacteristic
146#15688987C2211yescharacteristic, complemented
147#15688983C2211yescharacteristic
148#15688983C2211yescharacteristic
149#15688981C2211yescharacteristic
150#15688981C2211yescharacteristic
151#15688981C2211yescharacteristic
152#15688981C2211yescharacteristic, complemented
153#15688979C2211yescharacteristic
154#15688979C2211yescharacteristic
155#15688978C2211yescharacteristic
156#15688978C2211yescharacteristic
157#15688978C2211yescharacteristic
158C4⋊C4×Dic47C2211yescharacteristic, complemented
159C4⋊C4×Dic47C2211yescharacteristic, complemented
160C4×Dic47⋊C4C2211yescharacteristic, complemented
161C4×Dic47⋊C4C2211yescharacteristic, complemented
162C4×C4⋊Dic47C2211yescharacteristic, complemented
163C4×C4⋊Dic47C2211yescharacteristic, complemented
164C22⋊C4×Dic47C2211yescharacteristic
165C22⋊C4×Dic47C2211yescharacteristic
166C22⋊C4×Dic47C2211yescharacteristic, complemented
167C22⋊C4×Dic47C2211yescharacteristic, complemented
168C4×C22⋊Dic47C2211yescharacteristic
169C4×C22⋊Dic47C2211yescharacteristic
170C4×C22⋊Dic47C2211yescharacteristic, complemented
171C42×Dic47C2211yescharacteristic, complemented
172C2×#120×C47C2211yescharacteristic
173C2×C4×D4×C47C2211yescharacteristic
174C22×C22⋊C4×C47C2211yescharacteristic
175C47×#390C2211yescharacteristic, complemented
176C47×#390C2211yescharacteristic, complemented
177C47×#388C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic
185C47×#379C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×C22⋊D47—24no—
190C22×C22⋊D47—42no—
191C22×C22⋊D47—42no—
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203#13094019—42no—
204#13094017—42no—
205#13094014—42no—
206#13094010—42no—
207#13094010—42no—
208#13094008—42no—
209#13094005—42no—
210#13094001—24no—
211#13094001—42no—
212#13093996—42no—
213#13093996—42no—
214#13093992—24no—
215C4×Dic94—42no—
216D4×Dic47—24no—
217D4×Dic47—24no—
218C2×C4⋊Dic47C2311yescharacteristic
219C2×C4⋊Dic47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×Dic47⋊C4—42no—
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×C22⋊Dic47—42no—
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×(C2×D47)⋊C4—24no—
266C2×(C2×D47)⋊C4—42no—
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
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×C4×Dic47—42no—
290C2×C4×Dic47—42no—
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
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
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
331C25×C47C2311yescharacteristic
332C22×D4×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337C23×C4×C47C2311yescharacteristic
338#120×C47—24no—
339C4×D4×C47—24no—
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47—24no—
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47—22no—
370C24×C47—22no—
371C24×C47—22no—
372C24×C47—41no—
373C24×C47—41no—
374C24×C47—41no—
375C24×C47—41no—
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C24×C47C2411yescharacteristic
379C24×C47C2411yescharacteristic
380C23×D47—22no—
381C23×D47—22no—
382C23×D47—22no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47—41no—
386C23×D47—41no—
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×D4×C47—22no—
390C2×D4×C47—22no—
391C2×D4×C47—22no—
392C2×D4×C47—22no—
393C2×D4×C47—41no—
394C2×D4×C47—41no—
395C2×D4×C47—41no—
396C2×D4×C47—41no—
397C2×D4×C47#4114yes—
398C22×C4×C47—22no—
399C22×C4×C47—22no—
400C22×C4×C47—41no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47#4114yes—
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C2×C22⋊D47—22no—
419C2×C22⋊D47—22no—
420C2×C22⋊D47—22no—
421C2×C22⋊D47—22no—
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—22no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—416no—
433C2×C22⋊D47—41no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C22×Dic47—22no—
438C22×Dic47—22no—
439C22×Dic47—22no—
440C22×Dic47—22no—
441C22×Dic47—22no—
442C22×Dic47—22no—
443C22×Dic47—22no—
444C22×Dic47—22no—
445C22×Dic47—22no—
446C22×Dic47—22no—
447C22×Dic47—41no—
448C22×Dic47—41no—
449C22×Dic47—41no—
450C22×Dic47—41no—
451C22×Dic47#4114yes—
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C2×Dic94—22no—
467C2×Dic94—22no—
468C2×Dic94—22no—
469C4⋊C4×C47—22no—
470C4⋊C4×C47—41no—
471C4⋊C4×C47—41no—
472C22⋊C4×C47—22no—
473C22⋊C4×C47—22no—
474C22⋊C4×C47—22no—
475C22⋊C4×C47—22no—
476C22⋊C4×C47—22no—
477C22⋊C4×C47—22no—
478C22⋊C4×C47—22no—
479C22⋊C4×C47—22no—
480C22⋊C4×C47—22no—
481C22⋊C4×C47—22no—
482C22⋊C4×C47—41no—
483C22⋊C4×C47—41no—
484C22⋊C4×C47—41no—
485C22⋊C4×C47—41no—
486C22⋊C4×C47—41no—
487C22⋊C4×C47—41no—
488C42×C47—22no—
489C42×C47—41no—
490C42×C47—41no—
491C22⋊Dic47—22no—
492C22⋊Dic47—22no—
493C22⋊Dic47—22no—
494C22⋊Dic47—22no—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47—22no—
498C22⋊Dic47—22no—
499C22⋊Dic47—41no—
500C22⋊Dic47—41no—
501C22⋊Dic47—41no—
502C22⋊Dic47—41no—
503C22⋊Dic47—41no—
504C22⋊Dic47—41no—
505C22⋊Dic47—41no—
506C22⋊Dic47—41no—
507C22⋊Dic47—41no—
508C22⋊Dic47—41no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511(C2×D47)⋊C4—22no—
512(C2×D47)⋊C4—22no—
513(C2×D47)⋊C4—22no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—22no—
516(C2×D47)⋊C4—22no—
517(C2×D47)⋊C4—22no—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533C4⋊Dic47—22no—
534C4⋊Dic47—22no—
535C4⋊Dic47—22no—
536C4⋊Dic47—22no—
537C4⋊Dic47—41no—
538C4⋊Dic47—41no—
539C4⋊Dic47—41no—
540C4⋊Dic47—41no—
541C4⋊Dic47—41no—
542Dic47⋊C4—22no—
543Dic47⋊C4—22no—
544Dic47⋊C4—22no—
545Dic47⋊C4—22no—
546Dic47⋊C4—22no—
547Dic47⋊C4—22no—
548Dic47⋊C4—22no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558C4×Dic47—22no—
559C4×Dic47—22no—
560C4×Dic47—22no—
561C4×Dic47—22no—
562C4×Dic47—22no—
563C4×Dic47—22no—
564C4×Dic47—22no—
565C4×Dic47—41no—
566C4×Dic47—41no—
567C4×Dic47—41no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—44no—
597C23×C47—44no—
598C23×C47—44no—
599C23×C47—82no—
600C23×C47—82no—
601C23×C47—82no—
602C23×C47—82no—
603C23×C47C2×#4112yes—
604C23×C47C2×#4112yes—
605C23×C47C2×#4112yes—
606C23×C47C2×#4112yes—
607C23×C47C2511yescharacteristic
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—44no—
623C22×D47—44no—
624C22×D47—44no—
625C22×D47—82no—
626C22×D47—82no—
627C22×D47—82no—
628C22×D47—82no—
629D4×C47—28no—
630D4×C47—82no—
631D4×C47—82no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—44no—
663C2×C4×C47—44no—
664C2×C4×C47—82no—
665C2×C4×C47C2×#4112yes—
666C2×C4×C47C2×#4112yes—
667C2×C4×C47C2×#4112yes—
668C22⋊D47—44no—
669C22⋊D47—44no—
670C22⋊D47—44no—
671C22⋊D47—44no—
672C22⋊D47—82no—
673C22⋊D47—82no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—28no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—44no—
713C2×Dic47—44no—
714C2×Dic47—44no—
715C2×Dic47—82no—
716C2×Dic47C2×#4112yes—
717C2×Dic47C2×#4112yes—
718C2×Dic47H(5,𝔽2)12yes—
719C2×Dic47H(5,𝔽2)12yes—
720C2×Dic47H(5,𝔽2)12yes—
721Dic94—44no—
722#35025—471nomaximal, Sylow
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—88no—
751C22×C47#52914yes—
752C22×C47C22×#4111yescharacteristic
753C22×C47C22×#4111yescharacteristic
754C22×C47C22×#4111yescharacteristic
755C22×C47C2×H(5,𝔽2)11yescharacteristic
756C22×C47C2×H(5,𝔽2)11yescharacteristic
757C22×C47C2×H(5,𝔽2)11yescharacteristic
758C22×C47#58511yescharacteristic
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—88no—
774C4×C47—22no—
775C4×C47—22no—
776C4×C47—22no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785Dic47—22no—
786Dic47—22no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47#53814yes—
799#2861—471no—
800#2860—471no—
801#2854—471no—
802#2850—471no—
803#2651—471no—
804#2651—471no—
805#2648—471no—
806#2648—471no—
807#2593—471no—
808#2593—471no—
809#2554—471no—
810#2554—471no—
811#2513—471no—
812#2490—471no—
813#2480—471no—
814#2480—471no—
815#2448—471no—
816#2442—471no—
817#2435—471no—
818#2426—471no—
819#2418—471no—
820#2418—471no—
821#2417—471no—
822#2408—471no—
823#2321—471no—
824#2321D4711yescharacteristic, complemented
825#2312—471no—
826#2312—471no—
827C4×C22⋊Q8—471no—
828C2×#390—471no—
829C42×D4—471no—
830C2×C47—24no—
831C2×C47—42no—
832C2×C47—81no—
833C2×C47—81no—
834C2×C47C2×#52911yescharacteristic
835C2×C47C2×#53811yescharacteristic
836C2×C47#346011yescharacteristic
837C2×C47#350511yescharacteristic
838C2×C47#350811yescharacteristic
839C2×C47#351411yescharacteristic
840C2×C47#351911yescharacteristic
841D47—81no—
842D47—81no—
843C23×D4—471no—
844C2×#126—471no—
845C2×#126—471no—
846C2×#125—471no—
847C2×#124—471no—
848C2×#124—471no—
849C2×#123—471no—
850C2×#123—471no—
851C2×C22⋊Q8—471no—
852C2×C22⋊Q8—471no—
853C2×#121—471no—
854C2×#121—471no—
855C2×#120—471no—
856C2×#120C2×D4711yescharacteristic
857C2×C4×Q8—471no—
858C2×C4×D4—471no—
859C2×C4×D4—471no—
860C2×C4×D4C2×D4711yescharacteristic
861C22×C4⋊C4—471no—
862C22×C22⋊C4—471no—
863C22×C22⋊C4—471no—
864C22×C22⋊C4—471no—
865C22×C22⋊C4C2×D4711yescharacteristic
866C22×C42—471no—
867C22×C42—471no—
868#400—471no—
869#400—471no—
870#399—471no—
871#399—471no—
872#398—471no—
873#398—471no—
874#398—471no—
875#398—471no—
876#397—471no—
877#397—471no—
878#397—471no—
879#397—471no—
880#397—471no—
881#397—471no—
882#397—471no—
883#397—471no—
884#396—471no—
885#396—471no—
886#396—471no—
887#396—471no—
888#394—471no—
889#394—471no—
890#394—471no—
891#394—471no—
892#394—471no—
893#394—471no—
894#394—471no—
895#394—471no—
896#394—471no—
897#394—471no—
898#392—471no—
899#392—471no—
900#391—471no—
901#391—471no—
902#390—471no—
903#390—471no—
904#390—471no—
905#390—471no—
906#390—471no—
907#390—471no—
908#390—471no—
909#390—471no—
910#390—471no—
911#390—471no—
912#390—471no—
913#390—471no—
914#390—471no—
915#390—471no—
916#390C2×D4711yescharacteristic, complemented
917#390C2×D4711yescharacteristic, complemented
918#389—471no—
919#389—471no—
920#389—471no—
921#389—471no—
922#388—471no—
923#388—471no—
924#388—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388—471no—
932#388—471no—
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#388—471no—
938#388—471no—
939#388—471no—
940#388—471no—
941#388—471no—
942#388—471no—
943#388—471no—
944#388—471no—
945#388—471no—
946#388—471no—
947#388—471no—
948#388—471no—
949#388—471no—
950#388—471no—
951#388—471no—
952#388C2×D4711yescharacteristic, complemented
953#388C2×D4711yescharacteristic, complemented
954#388C2×D4711yescharacteristic, complemented
955#388C2×D4711yescharacteristic, complemented
956#387—471no—
957#387—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386C2×D4711yescharacteristic
964#386C2×D4711yescharacteristic, complemented
965#386C2×D4711yescharacteristic, complemented
966#385—471no—
967#385—471no—
968#385—471no—
969#385C2×D4711yescharacteristic
970#382—471no—
971#380—471no—
972#380—471no—
973#380—471no—
974#380—471no—
975#380—471no—
976#380—471no—
977#379—471no—
978#379—471no—
979#379—471no—
980#379—471no—
981#379—471no—
982#379C2×D4711yescharacteristic
983C4×C4⋊C4—471no—
984C4×C4⋊C4—471no—
985C4×C4⋊C4—471no—
986C4×C4⋊C4—471no—
987C4×C4⋊C4—471no—
988C4×C4⋊C4—471no—
989C4×C22⋊C4—471no—
990C4×C22⋊C4—471no—
991C4×C22⋊C4—471no—
992C4×C22⋊C4—471no—
993C4×C22⋊C4—471no—
994C4×C22⋊C4—471no—
995C4×C22⋊C4—471no—
996C4×C22⋊C4C2×D4711yescharacteristic
997C43—471no—
998C47#3502511yescharacteristic, complemented, Sylow
999C25—471no—
1000C25C22×D4711yescharacteristic
1001C22×Q8—471no—
1002C22×D4—471no—
1003C22×D4—471no—
1004C22×D4—471no—
1005C22×D4—471no—
1006C22×D4—471no—
1007C22×D4—471no—
1008C22×D4—944no—
1009C22×D4—1882no—
1010C22×D4—1882no—
1011C22×D4C22×D4711yescharacteristic
1012C22×D4C22×D4711yescharacteristic
1013C22×D4C22×D4711yescharacteristic
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4C22×D4711yescharacteristic
1020C23×C4C22×D4711yescharacteristic
1021C23×C4C22×D4711yescharacteristic
1022#126—1882no—
1023#126—1882no—
1024#125—1882no—
1025#124—1882no—
1026#124—1882no—
1027#123—1882no—
1028#123—1882no—
1029C22⋊Q8—944no—
1030C22⋊Q8—1882no—
1031#121—1882no—
1032#121—1882no—
1033#120—24no—
1034#120—944no—
1035C4×Q8—1882no—
1036C4×D4—24no—
1037C4×D4—944no—
1038C4×D4—944no—
1039C2×C4⋊C4—471no—
1040C2×C4⋊C4—471no—
1041C2×C4⋊C4—471no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—1882no—
1065C2×C4⋊C4C22×D4711yescharacteristic
1066C2×C4⋊C4C22×D4711yescharacteristic
1067C2×C4⋊C4C22×D4711yescharacteristic
1068C2×C22⋊C4—24no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—944no—
1112C2×C22⋊C4—1882no—
1113C2×C22⋊C4—1882no—
1114C2×C22⋊C4C22×D4711yescharacteristic
1115C2×C22⋊C4C22×D4711yescharacteristic
1116C2×C22⋊C4C22×D4711yescharacteristic
1117C2×C22⋊C4C22×D4711yescharacteristic
1118C2×C22⋊C4C22×D4711yescharacteristic
1119C2×C22⋊C4C22×D4711yescharacteristic
1120C2×C22⋊C4C22×D4711yescharacteristic
1121C2×C22⋊C4C22×D4711yescharacteristic
1122C2×C22⋊C4C22×D4711yescharacteristic
1123C2×C22⋊C4C22×D4711yescharacteristic
1124C2×C22⋊C4C22×D4711yescharacteristic
1125C2×C22⋊C4C22×D4711yescharacteristic
1126C2×C22⋊C4C22×D4711yescharacteristic
1127C2×C22⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4C22×D4711yescharacteristic
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C42—471no—
1131C2×C42—471no—
1132C2×C42—471no—
1133C2×C42—471no—
1134C2×C42—471no—
1135C2×C42—471no—
1136C2×C42—471no—
1137C2×C42—471no—
1138C2×C42—471no—
1139C2×C42—471no—
1140C2×C42—471no—
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—1882no—
1145C2×C42—1882no—
1146C2×C42C22×D4711yescharacteristic
1147C2×C42C22×D4711yescharacteristic
1148C2×C42C22×D4711yescharacteristic
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—41no—
1185C24—41no—
1186C24—41no—
1187C24—41no—
1188C24—471no—
1189C24—471no—
1190C24—942no—
1191C24—942no—
1192C24—942no—
1193C24—1881no—
1194C24—1881no—
1195C24—1881no—
1196C24—1881no—
1197C24C23×D4711yescharacteristic
1198C24C23×D4711yescharacteristic
1199C24C23×D4711yescharacteristic
1200C24C23×D4711yescharacteristic
1201C2×Q8—942no—
1202C2×Q8—942no—
1203C2×Q8—942no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—942no—
1213C2×D4—942no—
1214C2×D4—942no—
1215C2×D4—942no—
1216C2×D4—942no—
1217C2×D4—942no—
1218C2×D4—942no—
1219C2×D4—942no—
1220C2×D4—942no—
1221C2×D4—942no—
1222C2×D4—1881no—
1223C2×D4—1881no—
1224C2×D4—1881no—
1225C2×D4—1881no—
1226C2×D4—1881no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C2×D4—1881no—
1230C2×D4—18816no—
1231C2×D4#1062535014yes—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—471no—
1241C22×C4—474no—
1242C22×C4—471no—
1243C22×C4—471no—
1244C22×C4—471no—
1245C22×C4—471no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—942no—
1256C22×C4—942no—
1257C22×C4—942no—
1258C22×C4—942no—
1259C22×C4—942no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—1881no—
1266C22×C4—1881no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4#1062535214yes—
1270C22×C4C23×D4711yescharacteristic
1271C22×C4C23×D4711yescharacteristic
1272C22×C4C23×D4711yescharacteristic
1273C22×C4C23×D4711yescharacteristic
1274C22×C4C23×D4711yescharacteristic
1275C22×C4C23×D4711yescharacteristic
1276C22×C4C23×D4711yescharacteristic
1277C22×C4C23×D4711yescharacteristic
1278C22×C4C23×D4711yescharacteristic
1279C22×C4C23×D4711yescharacteristic
1280C22×C4C23×D4711yescharacteristic
1281C4⋊C4—22no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—942no—
1285C4⋊C4—942no—
1286C4⋊C4—942no—
1287C4⋊C4—942no—
1288C4⋊C4—942no—
1289C4⋊C4—942no—
1290C4⋊C4—942no—
1291C4⋊C4—942no—
1292C4⋊C4—942no—
1293C4⋊C4—942no—
1294C4⋊C4—942no—
1295C4⋊C4—1881no—
1296C4⋊C4—1881no—
1297C4⋊C4—1881no—
1298C4⋊C4—1881no—
1299C4⋊C4—1881no—
1300C4⋊C4—1881no—
1301C4⋊C4—1881no—
1302C4⋊C4—1881no—
1303C4⋊C4—1881no—
1304C4⋊C4—1881no—
1305C4⋊C4—1881no—
1306C4⋊C4—1881no—
1307C4⋊C4—1881no—
1308C4⋊C4—1881no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—942no—
1326C22⋊C4—942no—
1327C22⋊C4—942no—
1328C22⋊C4—942no—
1329C22⋊C4—942no—
1330C22⋊C4—942no—
1331C22⋊C4—942no—
1332C22⋊C4—942no—
1333C22⋊C4—942no—
1334C22⋊C4—942no—
1335C22⋊C4—942no—
1336C22⋊C4—942no—
1337C22⋊C4—942no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—1881no—
1342C22⋊C4—1881no—
1343C22⋊C4—1881no—
1344C22⋊C4—1881no—
1345C22⋊C4—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4—1881no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C22⋊C4—1881no—
1363C22⋊C4—1881no—
1364C22⋊C4—1881no—
1365C22⋊C4—1881no—
1366C22⋊C4—1881no—
1367C42—22no—
1368C42—41no—
1369C42—41no—
1370C42—942no—
1371C42—942no—
1372C42—942no—
1373C42—942no—
1374C42—942no—
1375C42—942no—
1376C42—942no—
1377C42—1881no—
1378C42—1881no—
1379C42—1881no—
1380C42—1881no—
1381C42—1881no—
1382C42—1881no—
1383C42—1881no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23—82no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—3762no—
1430C23—3762no—
1431C23—3762no—
1432C23—3762no—
1433C23—1884no—
1434C23—1884no—
1435C23—1884no—
1436C23#41×D4712yes—
1437C23C2×#1062535212yes—
1438C23C2×#1062535012yes—
1439C23C2×#1062535012yes—
1440C23C24×D4711yescharacteristic
1441Q8—1884no—
1442D4—28no—
1443D4—82no—
1444D4—82no—
1445D4—3762no—
1446D4—3762no—
1447D4—1884no—
1448D4—1884no—
1449D4—1884no—
1450D4—1884no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—82no—
1484C2×C4—472no—
1485C2×C4—472no—
1486C2×C4—472no—
1487C2×C4—472no—
1488C2×C4—472no—
1489C2×C4—948no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—3762no—
1528C2×C4—1884no—
1529C2×C4—1884no—
1530C2×C4—1884no—
1531C2×C4C2×#1062535212yes—
1532C2×C4C2×#1062535212yes—
1533C2×C4C2×#1062535012yes—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—88no—
1562C22—3768no—
1563C22—1881no—
1564C22—1881no—
1565C22—1881no—
1566C22—1881no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22—1881no—
1576C22—1881no—
1577C22#1568965314yes—
1578C22C2×#41×D4711yescharacteristic
1579C22C22×#1062535211yescharacteristic
1580C22C22×#1062535011yescharacteristic
1581C22H(5,𝔽2)×D4711yescharacteristic
1582C22H(5,𝔽2)×D4711yescharacteristic
1583C22H(5,𝔽2)×D4711yescharacteristic
1584C22#1568995811yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—474no—
1597C4—942no—
1598C4—942no—
1599C4—1881no—
1600C4—1881no—
1601C4—1881no—
1602C4—1881no—
1603C4—1881no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C2—24no—
1611C2—42no—
1612C2—81no—
1613C2—81no—
1614C2—3761no—
1615C2—3761no—
1616C2C2×#1568965311yescharacteristic
1617C2#538×D4711yescharacteristic
1618C2#2025680711yescharacteristic
1619C2#2025722511yescharacteristic
1620C2#2025726311yescharacteristic
1621C2#2025733911yescharacteristic
1622C2#2025741011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2321C2
prime radical#20246741C2
hypercenter#2321D47
hypocenterC47#35025
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
1. #20251757C2semidirect
2. #20251754C2semidirect
3. #20251716C2semidirect
4. #20251685C2semidirect
5. #20249423C2semidirect
6. #20249421C2semidirect
7. #20249378C2semidirect
8. #20249376C2semidirect
9. #20248886C2semidirect
10. #20248882C2semidirect
11. #20248453C2semidirect
12. #20248445C2semidirect
13. #20247982C2semidirect
14. #20247737C2semidirect
15. #20247641C2semidirect
16. #20247633C2semidirect
17. #20247183C2semidirect
18. #20247111C2semidirect
19. #20247037C2semidirect
20. #20246951C2semidirect
21. #20246848C2semidirect
22. #20246846C2semidirect
23. #20246836C2semidirect
25. #20246042C2semidirect
26. #20245986C2semidirect
27. #20245983C2semidirect
28. C4×#13094001C2semidirect
29. C2×#15689023C2semidirect
30. C4×D4×Dic47C2semidirect
31. C47×#2321C2semidirect
33. C2×#13094019C22semidirect
34. C2×#13094017C22semidirect
35. C2×#13094014C22semidirect
38. C2×#13094008C22semidirect
39. C2×#13094005C22semidirect
41. C2×#13094001C22semidirect
45. C2×C4×Dic94C22semidirect
53. C22×C4×Dic47C22semidirect
54. #15689064C22semidirect
55. #15689063C22semidirect
56. #15689060C22semidirect
57. #15689059C22semidirect
58. #15689057C22semidirect
59. #15689056C22semidirect
60. #15689055C22semidirect
61. #15689054C22semidirect
62. #15689052C22semidirect
63. #15689051C22semidirect
64. #15689051C22semidirect
65. #15689050C22semidirect
66. #15689050C22semidirect
67. #15689049C22semidirect
68. #15689048C22semidirect
69. #15689048C22semidirect
70. #15689046C22semidirect
71. #15689046C22semidirect
72. #15689046C22semidirect
73. #15689045C22semidirect
78. #15689039C22semidirect
79. #15689039C22semidirect
82. #15689037C22semidirect
83. #15689037C22semidirect
86. #15689027C22semidirect
87. #15689027C22semidirect
100. #15689023C22semidirect
101. #15689023C22semidirect
102. #15689020C22semidirect
103. #15689020C22semidirect
104. #15689020C22semidirect
105. #15689018C22semidirect
106. #15689017C22semidirect
107. #15689016C22semidirect
108. #15689016C22semidirect
109. #15689016C22semidirect
110. #15689016C22semidirect
111. #15689016C22semidirect
112. #15689016C22semidirect
113. #15689016C22semidirect
114. #15689016C22semidirect
115. #15689016C22semidirect
116. #15689015C22semidirect
117. #15689015C22semidirect
118. #15689015C22semidirect
119. #15689014C22semidirect
120. #15689014C22semidirect
121. #15689014C22semidirect
122. #15689014C22semidirect
123. #15689014C22semidirect
124. #15689014C22semidirect
125. #15689013C22semidirect
126. #15689013C22semidirect
127. #15689013C22semidirect
128. #15689012C22semidirect
129. #15689012C22semidirect
130. #15689012C22semidirect
131. #15689012C22semidirect
132. #15689012C22semidirect
133. #15689011C22semidirect
134. #15689011C22semidirect
135. #15689011C22semidirect
136. #15689010C22semidirect
137. #15689006C22semidirect
139. #15689003C22semidirect
140. #15689002C22semidirect
141. #15689002C22semidirect
142. #15689000C22semidirect
146. #15688987C22semidirect
152. #15688981C22semidirect
158. C4⋊C4×Dic47C22semidirect
159. C4⋊C4×Dic47C22semidirect
160. C4×Dic47⋊C4C22semidirect
161. C4×Dic47⋊C4C22semidirect
162. C4×C4⋊Dic47C22semidirect
163. C4×C4⋊Dic47C22semidirect
166. C22⋊C4×Dic47C22semidirect
167. C22⋊C4×Dic47C22semidirect
170. C4×C22⋊Dic47C22semidirect
171. C42×Dic47C22semidirect
175. C47×#390C22semidirect
176. C47×#390C22semidirect
177. C47×#388C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#388C22semidirect
182. C47×#386C22semidirect
183. C47×#386C22semidirect
824. #2321D47semidirect
916. #390C2×D47semidirect
917. #390C2×D47semidirect
952. #388C2×D47semidirect
953. #388C2×D47semidirect
954. #388C2×D47semidirect
955. #388C2×D47semidirect
964. #386C2×D47semidirect
965. #386C2×D47semidirect
998. C47#35025semidirect

Maximal subgroups

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

subgroupindex
#202517572
#202517542
#202517162
#202516852
#202494232
#202494212
#202493782
#202493762
#202488862
#202488822
#202484532
#202484452
#202479822
#202477372
#202476412
#202476332
#202471832
#202471112
#202470372
#202469512
#202468482
#202468462
#202468362
#202467412
#202460422
#202459862
#202459832
C4×#130940012
C2×#156890232
C4×D4×Dic472
C47×#23212
#3502547