Finite Group Databasebeta

← #26425136

Subgroups — #26425136

Order 12032.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251679C211yesmaximal, characteristic, complemented
2#20251674C211yesmaximal, characteristic, complemented
3#20251229C211yesmaximal, characteristic, complemented
4#20250782C211yesmaximal, characteristic, complemented
5#20250730C211yesmaximal, characteristic, complemented
6#20250648C211yesmaximal, characteristic, complemented
7#20250448C211yesmaximal, characteristic, complemented
8#20250391C211yesmaximal, characteristic, complemented
9#20250309C211yesmaximal, characteristic, complemented
10#20250204C211yesmaximal, characteristic, complemented
11#20250161C211yesmaximal, characteristic, complemented
12#20250137C211yesmaximal, characteristic, complemented
13#20250054C211yesmaximal, characteristic, complemented
14#20250003C211yesmaximal, characteristic, complemented
15#20249979C211yesmaximal, characteristic, complemented
16#20249874C211yesmaximal, characteristic, complemented
17#20249800C211yesmaximal, characteristic, complemented
18#20249632C211yesmaximal, characteristic, complemented
19#20249193C211yesmaximal, characteristic, complemented
20#20248572C211yesmaximal, characteristic, complemented
21#20248401C211yesmaximal, characteristic, complemented
22#20247641C211yesmaximal, characteristic, complemented
23#20247631C211yesmaximal, characteristic, complemented
24#20247519C211yesmaximal, characteristic, complemented
25#20247513C211yesmaximal, characteristic, complemented
26#20247037C211yesmaximal, characteristic, complemented
27#20246741C211yesmaximal, characteristic
28#20246119C211yesmaximal, characteristic, complemented
29#20246014C211yesmaximal, characteristic, complemented
30C2×#15688999C211yesmaximal, characteristic, complemented
31C47×#2622C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094017C2211yescharacteristic, complemented
36C2×#13094011C2211yescharacteristic, complemented
37C2×#13094010C2211yescharacteristic
38C2×#13094010C2211yescharacteristic
39C2×#13094010C2211yescharacteristic, complemented
40C2×#13094006C2211yescharacteristic, complemented
41C2×#13094006C2211yescharacteristic, complemented
42C2×#13094003C2211yescharacteristic
43C2×#13094002C2211yescharacteristic, complemented
44C2×#13094002C2211yescharacteristic, complemented
45C2×#13094001C2211yescharacteristic
46C2×#13094001C2211yescharacteristic
47C2×#13093996C2211yescharacteristic
48C2×#13093996C2211yescharacteristic
49C2×#13093992C2211yescharacteristic
50C2×D4×Dic47C2211yescharacteristic
51C22×C22⋊Dic47C2211yescharacteristic
52C22×(C2×D47)⋊C4C2211yescharacteristic
53#15689065C2211yescharacteristic, complemented
54#15689059C2211yescharacteristic, complemented
55#15689059C2211yescharacteristic, complemented
56#15689059C2211yescharacteristic, complemented
57#15689057C2211yescharacteristic, complemented
58#15689056C2211yescharacteristic, complemented
59#15689052C2211yescharacteristic, complemented
60#15689052C2211yescharacteristic, complemented
61#15689051C2211yescharacteristic, complemented
62#15689051C2211yescharacteristic, complemented
63#15689050C2211yescharacteristic, complemented
64#15689049C2211yescharacteristic, complemented
65#15689048C2211yescharacteristic, complemented
66#15689048C2211yescharacteristic, complemented
67#15689046C2211yescharacteristic, complemented
68#15689046C2211yescharacteristic, complemented
69#15689046C2211yescharacteristic, complemented
70#15689046C2211yescharacteristic, complemented
71#15689046C2211yescharacteristic, complemented
72#15689045C2211yescharacteristic, complemented
73#15689044C2211yescharacteristic, complemented
74#15689044C2211yescharacteristic, complemented
75#15689043C2211yescharacteristic, complemented
76#15689039C2211yescharacteristic
77#15689039C2211yescharacteristic
78#15689039C2211yescharacteristic
79#15689039C2211yescharacteristic
80#15689039C2211yescharacteristic, complemented
81#15689038C2211yescharacteristic
82#15689038C2211yescharacteristic
83#15689038C2211yescharacteristic, complemented
84#15689037C2211yescharacteristic, complemented
85#15689037C2211yescharacteristic, complemented
86#15689036C2211yescharacteristic, complemented
87#15689035C2211yescharacteristic, complemented
88#15689035C2211yescharacteristic, complemented
89#15689035C2211yescharacteristic, complemented
90#15689035C2211yescharacteristic, complemented
91#15689031C2211yescharacteristic
92#15689031C2211yescharacteristic
93#15689028C2211yescharacteristic, complemented
94#15689027C2211yescharacteristic, complemented
95#15689027C2211yescharacteristic, complemented
96#15689027C2211yescharacteristic, complemented
97#15689026C2211yescharacteristic, complemented
98#15689023C2211yescharacteristic
99#15689023C2211yescharacteristic
100#15689023C2211yescharacteristic
101#15689023C2211yescharacteristic
102#15689023C2211yescharacteristic, complemented
103#15689022C2211yescharacteristic, complemented
104#15689019C2211yescharacteristic, complemented
105#15689019C2211yescharacteristic, complemented
106#15689018C2211yescharacteristic, complemented
107#15689017C2211yescharacteristic, complemented
108#15689017C2211yescharacteristic, complemented
109#15689017C2211yescharacteristic, complemented
110#15689017C2211yescharacteristic, complemented
111#15689016C2211yescharacteristic, complemented
112#15689015C2211yescharacteristic, complemented
113#15689015C2211yescharacteristic, complemented
114#15689013C2211yescharacteristic, complemented
115#15689012C2211yescharacteristic, complemented
116#15689012C2211yescharacteristic, complemented
117#15689011C2211yescharacteristic, complemented
118#15689011C2211yescharacteristic, complemented
119#15689010C2211yescharacteristic, complemented
120#15689008C2211yescharacteristic, complemented
121#15689008C2211yescharacteristic, complemented
122#15689006C2211yescharacteristic, complemented
123#15689006C2211yescharacteristic, complemented
124#15689005C2211yescharacteristic, complemented
125#15689005C2211yescharacteristic, complemented
126#15689004C2211yescharacteristic, complemented
127#15689003C2211yescharacteristic
128#15689003C2211yescharacteristic
129#15688999C2211yescharacteristic
130#15688999C2211yescharacteristic
131#15688999C2211yescharacteristic
132#15688999C2211yescharacteristic
133#15688999C2211yescharacteristic
134#15688999C2211yescharacteristic
135#15688999C2211yescharacteristic
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic, complemented
138#15688999C2211yescharacteristic, complemented
139#15688998C2211yescharacteristic
140#15688998C2211yescharacteristic, complemented
141#15688997C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688997C2211yescharacteristic, complemented
144#15688997C2211yescharacteristic, complemented
145#15688996C2211yescharacteristic
146#15688996C2211yescharacteristic
147#15688995C2211yescharacteristic
148#15688995C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688994C2211yescharacteristic, complemented
151#15688990C2211yescharacteristic, complemented
152#15688987C2211yescharacteristic, complemented
153#15688985C2211yescharacteristic, complemented
154#15688985C2211yescharacteristic, complemented
155#15688984C2211yescharacteristic, complemented
156#15688983C2211yescharacteristic
157#15688982C2211yescharacteristic, complemented
158#15688982C2211yescharacteristic, complemented
159#15688981C2211yescharacteristic
160#15688981C2211yescharacteristic
161#15688981C2211yescharacteristic, complemented
162#15688979C2211yescharacteristic
163#15688979C2211yescharacteristic
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167C22⋊C4×Dic47C2211yescharacteristic
168C22⋊C4×Dic47C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×#120×C47C2211yescharacteristic
173C22×C22⋊C4×C47C2211yescharacteristic
174C47×#397C2211yescharacteristic, complemented
175C47×#397C2211yescharacteristic, complemented
176C47×#397C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic, complemented
178C47×#394C2211yescharacteristic, complemented
179C47×#394C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C47×#379C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×C22⋊D47—24no—
192C22×C22⋊D47—42no—
193C22×C22⋊D47—42no—
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C22×C4×D47—42no—
205C22×C4×D47—42no—
206C22×C4×D47—42no—
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094019—42no—
212#13094017—42no—
213#13094011—42no—
214#13094010—42no—
215#13094010—42no—
216#13094010—42no—
217#13094006—42no—
218#13094006—42no—
219#13094003—42no—
220#13094002—42no—
221#13094002—42no—
222#13094001—24no—
223#13094001—42no—
224#13093996—42no—
225#13093996—42no—
226#13093992—42no—
227D4×Dic47—24no—
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×C22⋊Dic47—42no—
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×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×(C2×D47)⋊C4—42no—
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×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
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
331C47⋊#95C2311yescharacteristic
332C25×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C22×D4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337C23×C4×C47C2311yescharacteristic
338#120×C47—42no—
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47—42no—
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×C22⋊C4×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×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—22no—
384C23×D47—22no—
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—41no—
393C2×D4×C47—41no—
394C2×D4×C47—41no—
395C2×D4×C47—41no—
396C2×D4×C47—41no—
397C2×D4×C47—41no—
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×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
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C2×C22⋊D47—22no—
416C2×C22⋊D47—22no—
417C2×C22⋊D47—22no—
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—41no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47—416no—
434C22×Dic47—22no—
435C22×Dic47—22no—
436C22×Dic47—22no—
437C22×Dic47—22no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47—41no—
441C22×Dic47—41no—
442C22×Dic47—41no—
443C22×Dic47—41no—
444C22×Dic47—41no—
445C22×Dic47#4114yes—
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—41no—
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—416no—
473C2×Dic94—22no—
474C2×Dic94—22no—
475C2×Dic94—41no—
476C2×Dic94—41no—
477C2×Dic94—41no—
478C2×Dic94—41no—
479C2×Dic94—41no—
480C2×Dic94—41no—
481C2×Dic94—41no—
482C4⋊C4×C47—41no—
483C4⋊C4×C47—41no—
484C4⋊C4×C47—41no—
485C4⋊C4×C47—41no—
486C22⋊C4×C47—22no—
487C22⋊C4×C47—22no—
488C22⋊C4×C47—22no—
489C22⋊C4×C47—41no—
490C22⋊C4×C47—41no—
491C22⋊C4×C47—41no—
492C22⋊C4×C47—41no—
493C22⋊C4×C47—41no—
494C22⋊C4×C47—41no—
495C22⋊C4×C47—41no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47—41no—
502C22⋊C4×C47—41no—
503C22⋊Dic47—22no—
504C22⋊Dic47—22no—
505C22⋊Dic47—22no—
506C22⋊Dic47—22no—
507C22⋊Dic47—22no—
508C22⋊Dic47—22no—
509C22⋊Dic47—22no—
510C22⋊Dic47—22no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
517C22⋊Dic47—41no—
518C22⋊Dic47—41no—
519C22⋊Dic47—41no—
520C22⋊Dic47—41no—
521C22⋊Dic47—41no—
522C22⋊Dic47—41no—
523C22⋊Dic47—41no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542C4⋊Dic47—22no—
543C4⋊Dic47—22no—
544C4⋊Dic47—22no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547C4⋊Dic47—41no—
548C4⋊Dic47—41no—
549C4⋊Dic47—41no—
550Dic47⋊C4—22no—
551Dic47⋊C4—22no—
552Dic47⋊C4—22no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566C4×Dic47—22no—
567C4×Dic47—41no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
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—21no—
597C23×C47—21no—
598C23×C47—44no—
599C23×C47—44no—
600C23×C47—44no—
601C23×C47—82no—
602C23×C47—82no—
603C23×C47—82no—
604C23×C47—82no—
605C23×C47C2×#4112yes—
606C23×C47H(5,𝔽2)12yes—
607C23×C472−1+412yes—
608C23×C47C2511yescharacteristic
609C22×D47—28no—
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—44no—
626C22×D47—44no—
627C22×D47—44no—
628C22×D47H(5,𝔽2)12yes—
629C22×D47H(5,𝔽2)12yes—
630D4×C47—44no—
631D4×C47—82no—
632D4×C47—82no—
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—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—44no—
667C2×C4×C47—82no—
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—21no—
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—21no—
713C2×Dic47—44no—
714C2×Dic47—44no—
715C2×Dic47—82no—
716C2×Dic47—82no—
717C2×Dic47C2×#4112yes—
718C2×Dic47C2×#4112yes—
719C2×Dic47H(5,𝔽2)12yes—
720C4×D47—44no—
721C4×D47—44no—
722C4×D47—44no—
723C4×D47—44no—
724Dic94—82no—
725Dic94—82no—
726Dic94—82no—
727#36793—471nomaximal, Sylow
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
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—41no—
751C22×C47—41no—
752C22×C47—41no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—88no—
756C22×C47#54214yes—
757C22×C47C22×#4111yescharacteristic
758C22×C47C2×H(5,𝔽2)11yescharacteristic
759C22×C47C2×H(5,𝔽2)11yescharacteristic
760C22×C47C2×H(5,𝔽2)11yescharacteristic
761C22×C47C2×H(5,𝔽2)11yescharacteristic
762C22×C47C2×2−1+411yescharacteristic
763C22×C47#58511yescharacteristic
764C2×D47—22no—
765C2×D47—22no—
766C2×D47—22no—
767C2×D47—22no—
768C2×D47—22no—
769C2×D47—22no—
770C2×D47—416no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789C4×C47—41no—
790Dic47—22no—
791Dic47—22no—
792Dic47—22no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802Dic47—41no—
803Dic47—41no—
804#2849—471no—
805#2848—471no—
806#2796—471no—
807#2761—471no—
808#2757—471no—
809#2751—471no—
810#2737—471no—
811#2730—471no—
812#2723—471no—
813#2715—471no—
814#2712—471no—
815#2710—471no—
816#2705—471no—
817#2701—471no—
818#2700—471no—
819#2691—471no—
820#2686—471no—
821#2672—471no—
822#2626—471no—
823#2622D4711yescharacteristic, complemented
824#2564—471no—
825#2549—471no—
826#2480—471no—
827#2480—471no—
828#2472—471no—
829#2472—471no—
830#2435—471no—
831#2408—471no—
832#2329—471no—
833#2318—471no—
834C2×#386—471no—
835C2×C47—24no—
836C2×C47—81no—
837C2×C47—81no—
838C2×C47—81no—
839C2×C47C2×#54211yescharacteristic
840C2×C47#349011yescharacteristic
841C2×C47#350611yescharacteristic
842C2×C47#353211yescharacteristic
843C2×C47#353411yescharacteristic
844C2×C47#353511yescharacteristic
845C2×C47#353611yescharacteristic
846D47—42no—
847D47—42no—
848C23×D4—471no—
849C24×C4—471no—
850C2×#126—471no—
851C2×#126—471no—
852C2×#124—471no—
853C2×#124—471no—
854C2×#124—471no—
855C2×#124—471no—
856C2×#123—471no—
857C2×#123—471no—
858C2×C22⋊Q8—471no—
859C2×C22⋊Q8—471no—
860C2×C22⋊Q8—471no—
861C2×C22⋊Q8—471no—
862C2×C22⋊Q8—471no—
863C2×#121—471no—
864C2×#121—471no—
865C2×#120—471no—
866C2×#120C2×D4711yescharacteristic
867C2×C4×D4—471no—
868C22×C22⋊C4—471no—
869C22×C22⋊C4—471no—
870C22×C22⋊C4C2×D4711yescharacteristic
871#400—471no—
872#399—471no—
873#399—471no—
874#399—471no—
875#398—471no—
876#398—471no—
877#397—471no—
878#397—471no—
879#397—471no—
880#397—471no—
881#397—471no—
882#397—471no—
883#397—471no—
884#397—471no—
885#397C2×D4711yescharacteristic, complemented
886#397C2×D4711yescharacteristic, complemented
887#397C2×D4711yescharacteristic, complemented
888#397C2×D4711yescharacteristic, complemented
889#396—471no—
890#396—471no—
891#396—471no—
892#396—471no—
893#396—471no—
894#396—471no—
895#395—471no—
896#395—471no—
897#395—471no—
898#394—471no—
899#394—471no—
900#394—471no—
901#394—471no—
902#394—471no—
903#394—471no—
904#394—471no—
905#394—471no—
906#394—471no—
907#394—471no—
908#394C2×D4711yescharacteristic, complemented
909#394C2×D4711yescharacteristic, complemented
910#394C2×D4711yescharacteristic, complemented
911#394C2×D4711yescharacteristic, complemented
912#393—471no—
913#393—471no—
914#393—471no—
915#393—471no—
916#393—471no—
917#392—471no—
918#392—471no—
919#391—471no—
920#391—471no—
921#391—471no—
922#391—471no—
923#390—471no—
924#390—471no—
925#390—471no—
926#390—471no—
927#390—471no—
928#390—471no—
929#389—471no—
930#389—471no—
931#389—471no—
932#389—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#387—471no—
946#387—471no—
947#387—471no—
948#387—471no—
949#387—471no—
950#387—471no—
951#387—471no—
952#387—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386C2×D4711yescharacteristic
966#386C2×D4711yescharacteristic
967#385—471no—
968#385—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385C2×D4711yescharacteristic
980#385C2×D4711yescharacteristic
981#383—471no—
982#382—471no—
983#381—471no—
984#381—471no—
985#381—471no—
986#380—471no—
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#379—471no—
993#379—471no—
994#379—471no—
995#379—471no—
996#379—471no—
997#379C2×D4711yescharacteristic
998C4×C22⋊C4—471no—
999C4×C22⋊C4—471no—
1000C4×C22⋊C4—471no—
1001C2×#95—471no—
1002C2×#95—471no—
1003C47#3679311yescharacteristic, complemented, Sylow
1004C25—471no—
1005C25C22×D4711yescharacteristic
1006C22×Q8—471no—
1007C22×Q8—471no—
1008C22×Q8—471no—
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4—471no—
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—944no—
1016C22×D4—1882no—
1017C22×D4—1882no—
1018C22×D4C22×D4711yescharacteristic
1019C22×D4C22×D4711yescharacteristic
1020C22×D4C22×D4711yescharacteristic
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4—1882no—
1030C23×C4—1882no—
1031C23×C4—1882no—
1032C23×C4C22×D4711yescharacteristic
1033C23×C4C22×D4711yescharacteristic
1034#126—1882no—
1035#126—1882no—
1036#124—1882no—
1037#124—1882no—
1038#124—1882no—
1039#124—1882no—
1040#123—1882no—
1041#123—1882no—
1042C22⋊Q8—944no—
1043C22⋊Q8—1882no—
1044C22⋊Q8—1882no—
1045C22⋊Q8—1882no—
1046C22⋊Q8—1882no—
1047#121—1882no—
1048#121—1882no—
1049#120—42no—
1050#120—1882no—
1051C4×D4—944no—
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—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4C22×D4711yescharacteristic
1077C2×C4⋊C4C22×D4711yescharacteristic
1078C2×C4⋊C4C22×D4711yescharacteristic
1079C2×C4⋊C4C22×D4711yescharacteristic
1080C2×C22⋊C4—42no—
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—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—1882no—
1121C2×C22⋊C4—1882no—
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×C22⋊C4C22×D4711yescharacteristic
1131C2×C22⋊C4C22×D4711yescharacteristic
1132C2×C22⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C42—471no—
1140C2×C42—471no—
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—471no—
1145C2×C42—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
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#95—471no—
1176#95—471no—
1177#95—471no—
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183#95C22×D4711yescharacteristic
1184#95C22×D4711yescharacteristic
1185#95C22×D4711yescharacteristic
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—41no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—471no—
1194C24—471no—
1195C24—942no—
1196C24—942no—
1197C24—942no—
1198C24—942no—
1199C24—942no—
1200C24—1881no—
1201C24—1881no—
1202C24C23×D4711yescharacteristic
1203C24C23×D4711yescharacteristic
1204C24C23×D4711yescharacteristic
1205C24C23×D4711yescharacteristic
1206C2×Q8—942no—
1207C2×Q8—942no—
1208C2×Q8—1881no—
1209C2×Q8—1881no—
1210C2×Q8—1881no—
1211C2×Q8—1881no—
1212C2×Q8—1881no—
1213C2×Q8—1881no—
1214C2×Q8—1881no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—942no—
1225C2×D4—942no—
1226C2×D4—942no—
1227C2×D4—942no—
1228C2×D4—942no—
1229C2×D4—942no—
1230C2×D4—942no—
1231C2×D4—942no—
1232C2×D4—942no—
1233C2×D4—942no—
1234C2×D4—1881no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C2×D4—1881no—
1238C2×D4—1881no—
1239C2×D4—1881no—
1240C2×D4—1881no—
1241C2×D4—1881no—
1242C2×D4—18816no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—471no—
1252C22×C4—474no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—471no—
1263C22×C4—471no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—18816no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C22×C4C23×D4711yescharacteristic
1294C22×C4C23×D4711yescharacteristic
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—942no—
1304C4⋊C4—942no—
1305C4⋊C4—942no—
1306C4⋊C4—942no—
1307C4⋊C4—942no—
1308C4⋊C4—942no—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C4⋊C4—1881no—
1322C4⋊C4—1881no—
1323C4⋊C4—1881no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—942no—
1345C22⋊C4—942no—
1346C22⋊C4—942no—
1347C22⋊C4—942no—
1348C22⋊C4—942no—
1349C22⋊C4—942no—
1350C22⋊C4—942no—
1351C22⋊C4—942no—
1352C22⋊C4—942no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—942no—
1357C22⋊C4—942no—
1358C22⋊C4—942no—
1359C22⋊C4—942no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C22⋊C4—1881no—
1363C22⋊C4—1881no—
1364C22⋊C4—1881no—
1365C22⋊C4—1881no—
1366C22⋊C4—1881no—
1367C22⋊C4—1881no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C42—942no—
1384C42—1881no—
1385C42—1881no—
1386C42—1881no—
1387C42—1881no—
1388C42—1881no—
1389C42—1881no—
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—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—82no—
1419C23—82no—
1420C23—82no—
1421C23—82no—
1422C23—472no—
1423C23—472no—
1424C23—948no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—941no—
1433C23—941no—
1434C23—941no—
1435C23—941no—
1436C23—941no—
1437C23—1884no—
1438C23—1884no—
1439C23—1884no—
1440C23—1884no—
1441C23—1884no—
1442C23—1884no—
1443C23#41×D4712yes—
1444C23#1309406912yes—
1445C23#1309407112yes—
1446C23C24×D4711yescharacteristic
1447Q8—3762no—
1448Q8—3762no—
1449Q8—3762no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—3762no—
1454D4—3762no—
1455D4—1884no—
1456D4—1884no—
1457D4—1884no—
1458D4—1884no—
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—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—44no—
1493C2×C4—82no—
1494C2×C4—472no—
1495C2×C4—472no—
1496C2×C4—472no—
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—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—3762no—
1537C2×C4—3762no—
1538C2×C4—1884no—
1539C2×C4—1884no—
1540C2×C4—1884no—
1541C2×C4—1884no—
1542C2×C4—1884no—
1543C2×C4—1884no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—88no—
1572C22—942no—
1573C22—942no—
1574C22—942no—
1575C22—942no—
1576C22—942no—
1577C22—942no—
1578C22—18816no—
1579C22—1881no—
1580C22—1881no—
1581C22—1881no—
1582C22—1881no—
1583C22—1881no—
1584C22—1881no—
1585C22—1881no—
1586C22—1881no—
1587C22#1568974114yes—
1588C22C2×#41×D4711yescharacteristic
1589C22H(5,𝔽2)×D4711yescharacteristic
1590C22H(5,𝔽2)×D4711yescharacteristic
1591C22H(5,𝔽2)×D4711yescharacteristic
1592C22C2×#1309406911yescharacteristic
1593C22C2×#1309407111yescharacteristic
1594C22#1568995811yescharacteristic
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—942no—
1607C4—942no—
1608C4—942no—
1609C4—1881no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C4—1881no—
1615C4—1881no—
1616C4—1881no—
1617C4—1881no—
1618C4—1881no—
1619C4—1881no—
1620C2—24no—
1621C2—81no—
1622C2—81no—
1623C2—81no—
1624C2—1882no—
1625C2—1882no—
1626C2C2×#1568974111yescharacteristic
1627C2#2025707411yescharacteristic
1628C2#2025723511yescharacteristic
1629C2#2025754011yescharacteristic
1630C2#2025756811yescharacteristic
1631C2#2025758611yescharacteristic
1632C2#2025760911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2622C2
prime radical#20246741C2
hypercenter#2622D47
hypocenterC47#36793
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2622

Complements

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

NH ≅ G/Ntype
1. #20251679C2semidirect
2. #20251674C2semidirect
3. #20251229C2semidirect
4. #20250782C2semidirect
5. #20250730C2semidirect
6. #20250648C2semidirect
7. #20250448C2semidirect
8. #20250391C2semidirect
9. #20250309C2semidirect
10. #20250204C2semidirect
11. #20250161C2semidirect
12. #20250137C2semidirect
13. #20250054C2semidirect
14. #20250003C2semidirect
15. #20249979C2semidirect
16. #20249874C2semidirect
17. #20249800C2semidirect
18. #20249632C2semidirect
19. #20249193C2semidirect
20. #20248572C2semidirect
21. #20248401C2semidirect
22. #20247641C2semidirect
23. #20247631C2semidirect
24. #20247519C2semidirect
25. #20247513C2semidirect
26. #20247037C2semidirect
28. #20246119C2semidirect
29. #20246014C2semidirect
30. C2×#15688999C2semidirect
31. C47×#2622C2semidirect
34. C2×#13094019C22semidirect
35. C2×#13094017C22semidirect
36. C2×#13094011C22semidirect
39. C2×#13094010C22semidirect
40. C2×#13094006C22semidirect
41. C2×#13094006C22semidirect
43. C2×#13094002C22semidirect
44. C2×#13094002C22semidirect
53. #15689065C22semidirect
54. #15689059C22semidirect
55. #15689059C22semidirect
56. #15689059C22semidirect
57. #15689057C22semidirect
58. #15689056C22semidirect
59. #15689052C22semidirect
60. #15689052C22semidirect
61. #15689051C22semidirect
62. #15689051C22semidirect
63. #15689050C22semidirect
64. #15689049C22semidirect
65. #15689048C22semidirect
66. #15689048C22semidirect
67. #15689046C22semidirect
68. #15689046C22semidirect
69. #15689046C22semidirect
70. #15689046C22semidirect
71. #15689046C22semidirect
72. #15689045C22semidirect
73. #15689044C22semidirect
74. #15689044C22semidirect
75. #15689043C22semidirect
80. #15689039C22semidirect
83. #15689038C22semidirect
84. #15689037C22semidirect
85. #15689037C22semidirect
86. #15689036C22semidirect
87. #15689035C22semidirect
88. #15689035C22semidirect
89. #15689035C22semidirect
90. #15689035C22semidirect
93. #15689028C22semidirect
94. #15689027C22semidirect
95. #15689027C22semidirect
96. #15689027C22semidirect
97. #15689026C22semidirect
102. #15689023C22semidirect
103. #15689022C22semidirect
104. #15689019C22semidirect
105. #15689019C22semidirect
106. #15689018C22semidirect
107. #15689017C22semidirect
108. #15689017C22semidirect
109. #15689017C22semidirect
110. #15689017C22semidirect
111. #15689016C22semidirect
112. #15689015C22semidirect
113. #15689015C22semidirect
114. #15689013C22semidirect
115. #15689012C22semidirect
116. #15689012C22semidirect
117. #15689011C22semidirect
118. #15689011C22semidirect
119. #15689010C22semidirect
120. #15689008C22semidirect
121. #15689008C22semidirect
122. #15689006C22semidirect
123. #15689006C22semidirect
124. #15689005C22semidirect
125. #15689005C22semidirect
126. #15689004C22semidirect
137. #15688999C22semidirect
138. #15688999C22semidirect
140. #15688998C22semidirect
141. #15688997C22semidirect
142. #15688997C22semidirect
143. #15688997C22semidirect
144. #15688997C22semidirect
148. #15688995C22semidirect
149. #15688994C22semidirect
150. #15688994C22semidirect
151. #15688990C22semidirect
152. #15688987C22semidirect
153. #15688985C22semidirect
154. #15688985C22semidirect
155. #15688984C22semidirect
157. #15688982C22semidirect
158. #15688982C22semidirect
161. #15688981C22semidirect
174. C47×#397C22semidirect
175. C47×#397C22semidirect
176. C47×#397C22semidirect
177. C47×#397C22semidirect
178. C47×#394C22semidirect
179. C47×#394C22semidirect
180. C47×#394C22semidirect
181. C47×#394C22semidirect
823. #2622D47semidirect
885. #397C2×D47semidirect
886. #397C2×D47semidirect
887. #397C2×D47semidirect
888. #397C2×D47semidirect
908. #394C2×D47semidirect
909. #394C2×D47semidirect
910. #394C2×D47semidirect
911. #394C2×D47semidirect
1003. C47#36793semidirect

Maximal subgroups

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

subgroupindex
#202516792
#202516742
#202512292
#202507822
#202507302
#202506482
#202504482
#202503912
#202503092
#202502042
#202501612
#202501372
#202500542
#202500032
#202499792
#202498742
#202498002
#202496322
#202491932
#202485722
#202484012
#202476412
#202476312
#202475192
#202475132
#202470372
#202467412
#202461192
#202460142
C2×#156889992
C47×#26222
#3679347