Finite Group Databasebeta

← #26423476

Subgroups — #26423476

Order 12032.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1546 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251676C211yesmaximal, characteristic, complemented
2#20251669C211yesmaximal, characteristic
3#20250568C211yesmaximal, characteristic, complemented
4#20250562C211yesmaximal, characteristic, complemented
5#20250550C211yesmaximal, characteristic, complemented
6#20250464C211yesmaximal, characteristic, complemented
7#20250452C211yesmaximal, characteristic, complemented
8#20250442C211yesmaximal, characteristic, complemented
9#20250438C211yesmaximal, characteristic, complemented
10#20250002C211yesmaximal, characteristic, complemented
11#20249998C211yesmaximal, characteristic, complemented
12#20249990C211yesmaximal, characteristic, complemented
13#20249986C211yesmaximal, characteristic, complemented
14#20249816C211yesmaximal, characteristic, complemented
15#20249812C211yesmaximal, characteristic, complemented
16#20249796C211yesmaximal, characteristic, complemented
17#20249792C211yesmaximal, characteristic, complemented
18#20249503C211yesmaximal, characteristic, complemented
19#20249315C211yesmaximal, characteristic, complemented
20#20247953C211yesmaximal, characteristic, complemented
21#20247943C211yesmaximal, characteristic, complemented
22#20247512C211yesmaximal, characteristic, complemented
23#20247509C211yesmaximal, characteristic, complemented
24#20247217C211yesmaximal, characteristic, complemented
25#20247215C211yesmaximal, characteristic, complemented
26#20246853C211yesmaximal, characteristic, complemented
27#20246849C211yesmaximal, characteristic, complemented
28#20246117C211yesmaximal, characteristic, complemented
29#20246085C211yesmaximal, characteristic, complemented
30#381×D47C211yesmaximal, characteristic, complemented
31C47×#2746C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094011C2211yescharacteristic
34C2×#13094010C2211yescharacteristic
35C2×#13094009C2211yescharacteristic
36C2×#13094007C2211yescharacteristic
37C2×#13094004C2211yescharacteristic
38C2×#13094004C2211yescharacteristic
39C2×#13094004C2211yescharacteristic
40C2×#13094003C2211yescharacteristic
41C2×#13094002C2211yescharacteristic
42C2×#13093997C2211yescharacteristic
43C2×#13093997C2211yescharacteristic
44C2×#13093996C2211yescharacteristic
45C2×#13093994C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×#13093986C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×C22⋊C4×D47C2211yescharacteristic
50C2×C22⋊C4×D47C2211yescharacteristic
51C47⋊#401C2211yescharacteristic, complemented
52#15689065C2211yescharacteristic, complemented
53#15689065C2211yescharacteristic, complemented
54#15689063C2211yescharacteristic, complemented
55#15689063C2211yescharacteristic, complemented
56#15689062C2211yescharacteristic, complemented
57#15689059C2211yescharacteristic
58#15689056C2211yescharacteristic, complemented
59#15689056C2211yescharacteristic, complemented
60#15689056C2211yescharacteristic, complemented
61#15689056C2211yescharacteristic, complemented
62#15689054C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic
64#15689052C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689051C2211yescharacteristic
67#15689051C2211yescharacteristic, complemented
68#15689049C2211yescharacteristic
69#15689049C2211yescharacteristic, complemented
70#15689048C2211yescharacteristic
71#15689048C2211yescharacteristic, complemented
72#15689047C2211yescharacteristic, complemented
73#15689046C2211yescharacteristic, complemented
74#15689044C2211yescharacteristic, complemented
75#15689044C2211yescharacteristic, complemented
76#15689044C2211yescharacteristic, complemented
77#15689043C2211yescharacteristic, complemented
78#15689040C2211yescharacteristic
79#15689040C2211yescharacteristic
80#15689039C2211yescharacteristic
81#15689039C2211yescharacteristic
82#15689039C2211yescharacteristic
83#15689039C2211yescharacteristic, complemented
84#15689039C2211yescharacteristic, complemented
85#15689038C2211yescharacteristic
86#15689037C2211yescharacteristic
87#15689036C2211yescharacteristic
88#15689036C2211yescharacteristic
89#15689036C2211yescharacteristic, complemented
90#15689036C2211yescharacteristic, complemented
91#15689035C2211yescharacteristic, complemented
92#15689035C2211yescharacteristic, complemented
93#15689027C2211yescharacteristic, complemented
94#15689027C2211yescharacteristic, complemented
95#15689027C2211yescharacteristic, complemented
96#15689027C2211yescharacteristic, complemented
97#15689025C2211yescharacteristic
98#15689023C2211yescharacteristic
99#15689021C2211yescharacteristic, complemented
100#15689019C2211yescharacteristic, complemented
101#15689017C2211yescharacteristic
102#15689016C2211yescharacteristic, complemented
103#15689016C2211yescharacteristic, complemented
104#15689015C2211yescharacteristic
105#15689015C2211yescharacteristic
106#15689015C2211yescharacteristic, complemented
107#15689015C2211yescharacteristic, complemented
108#15689013C2211yescharacteristic
109#15689012C2211yescharacteristic
110#15689012C2211yescharacteristic, complemented
111#15689011C2211yescharacteristic
112#15689011C2211yescharacteristic
113#15689009C2211yescharacteristic, complemented
114#15689009C2211yescharacteristic, complemented
115#15689008C2211yescharacteristic, complemented
116#15689006C2211yescharacteristic, complemented
117#15689006C2211yescharacteristic, complemented
118#15689006C2211yescharacteristic, complemented
119#15689005C2211yescharacteristic, complemented
120#15689005C2211yescharacteristic, complemented
121#15689004C2211yescharacteristic, complemented
122#15689002C2211yescharacteristic
123#15689002C2211yescharacteristic, complemented
124#15689001C2211yescharacteristic
125#15689001C2211yescharacteristic
126#15689001C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15688999C2211yescharacteristic
130#15688999C2211yescharacteristic
131#15688999C2211yescharacteristic
132#15688999C2211yescharacteristic
133#15688999C2211yescharacteristic
134#15688999C2211yescharacteristic
135#15688999C2211yescharacteristic, complemented
136#15688998C2211yescharacteristic
137#15688998C2211yescharacteristic
138#15688997C2211yescharacteristic
139#15688997C2211yescharacteristic
140#15688997C2211yescharacteristic
141#15688997C2211yescharacteristic
142#15688997C2211yescharacteristic
143#15688997C2211yescharacteristic, complemented
144#15688994C2211yescharacteristic
145#15688994C2211yescharacteristic, complemented
146#15688991C2211yescharacteristic, complemented
147#15688990C2211yescharacteristic, complemented
148#15688986C2211yescharacteristic
149#15688985C2211yescharacteristic
150#15688985C2211yescharacteristic
151#15688985C2211yescharacteristic
152#15688985C2211yescharacteristic
153#15688984C2211yescharacteristic
154#15688984C2211yescharacteristic
155#15688983C2211yescharacteristic, complemented
156#15688982C2211yescharacteristic
157#15688982C2211yescharacteristic
158#15688982C2211yescharacteristic
159#15688981C2211yescharacteristic
160#15688980C2211yescharacteristic
161#15688980C2211yescharacteristic
162#15688980C2211yescharacteristic
163#15688980C2211yescharacteristic, complemented
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic
167#15688970C2211yescharacteristic
168#95×D47C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C47×#401C2211yescharacteristic, complemented
173C47×#400C2211yescharacteristic, complemented
174C47×#399C2211yescharacteristic
175C47×#398C2211yescharacteristic, complemented
176C47×#397C2211yescharacteristic, complemented
177C47×#394C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#388C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#385C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic, complemented
185C47×#381C2211yescharacteristic
186C47×#380C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C22×C4×D47—24no—
199C22×C4×D47—42no—
200C22×C4×D47—42no—
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210#13094011—42no—
211#13094010—42no—
212#13094009—42no—
213#13094007—42no—
214#13094004—24no—
215#13094004—42no—
216#13094004—42no—
217#13094003—42no—
218#13094002—42no—
219#13093997—24no—
220#13093997—42no—
221#13093996—42no—
222#13093994—42no—
223#13093992—42no—
224#13093986—42no—
225C4×C22⋊D47—42no—
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
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×(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
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
283C22⋊C4×D47—42no—
284C22⋊C4×D47—42no—
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C47⋊#95C2311yescharacteristic
291C47⋊#95C2311yescharacteristic
292C47⋊#95C2311yescharacteristic
293C47⋊#95C2311yescharacteristic
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
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
328C22×D4×C47C2311yescharacteristic
329C23×C4×C47C2311yescharacteristic
330C23×C4×C47C2311yescharacteristic
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C42×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47C2411yescharacteristic
364C24×C47C2411yescharacteristic
365C23×D47—22no—
366C23×D47—22no—
367C23×D47—22no—
368C23×D47—22no—
369C23×D47—22no—
370C23×D47—41no—
371C23×D47—41no—
372C23×D47C2411yescharacteristic
373C23×D47C2411yescharacteristic
374C23×D47C2411yescharacteristic
375C2×D4×C47—22no—
376C2×D4×C47—41no—
377C2×D4×C47—41no—
378C22×C4×C47—22no—
379C22×C4×C47—22no—
380C22×C4×C47—41no—
381C22×C4×C47—41no—
382C22×C4×C47—41no—
383C22×C4×C47—41no—
384C22×C4×C47C2411yescharacteristic
385C22×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×C4×C47C2411yescharacteristic
388C22×C4×C47C2411yescharacteristic
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C2×C22⋊D47—22no—
398C2×C22⋊D47—22no—
399C2×C22⋊D47—22no—
400C2×C22⋊D47—22no—
401C2×C22⋊D47—22no—
402C2×C22⋊D47—22no—
403C2×C22⋊D47—41no—
404C2×C22⋊D47—41no—
405C2×C22⋊D47—41no—
406C2×C22⋊D47—41no—
407C2×C22⋊D47—41no—
408C2×C22⋊D47—41no—
409C22×Dic47—22no—
410C22×Dic47—22no—
411C22×Dic47—41no—
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C2×D188—22no—
426C2×D188—22no—
427C2×D188—22no—
428C2×D188—22no—
429C2×D188—41no—
430C2×D188—41no—
431C2×C4×D47—22no—
432C2×C4×D47—22no—
433C2×C4×D47—22no—
434C2×C4×D47—22no—
435C2×C4×D47—22no—
436C2×C4×D47—22no—
437C2×C4×D47—22no—
438C2×C4×D47—22no—
439C2×C4×D47—22no—
440C2×C4×D47—41no—
441C2×C4×D47—41no—
442C2×C4×D47—41no—
443C2×C4×D47—41no—
444C2×C4×D47—41no—
445C2×C4×D47—41no—
446C2×C4×D47—416no—
447C2×C4×D47—41no—
448C2×C4×D47—41no—
449C2×C4×D47—41no—
450C2×C4×D47—41no—
451C2×C4×D47—41no—
452C2×C4×D47—41no—
453C2×C4×D47—41no—
454C2×C4×D47—41no—
455C2×C4×D47—41no—
456C2×C4×D47—41no—
457C2×C4×D47—41no—
458C2×C4×D47#4114yes—
459C2×Dic94—22no—
460C2×Dic94—41no—
461C2×Dic94—41no—
462C2×Dic94—41no—
463C2×Dic94—41no—
464C2×Dic94—41no—
465C2×Dic94—41no—
466C2×Dic94—41no—
467C2×Dic94—41no—
468C4⋊C4×C47—22no—
469C4⋊C4×C47—41no—
470C4⋊C4×C47—41no—
471C4⋊C4×C47—41no—
472C4⋊C4×C47—41no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C22⋊C4×C47—22no—
476C22⋊C4×C47—22no—
477C22⋊C4×C47—41no—
478C22⋊C4×C47—41no—
479C22⋊C4×C47—41no—
480C22⋊C4×C47—41no—
481C22⋊C4×C47—41no—
482C22⋊C4×C47—41no—
483C22⋊C4×C47—41no—
484C22⋊C4×C47—41no—
485C42×C47—41no—
486C22⋊Dic47—22no—
487C22⋊Dic47—22no—
488C22⋊Dic47—22no—
489C22⋊Dic47—41no—
490C22⋊Dic47—41no—
491C22⋊Dic47—41no—
492C22⋊Dic47—41no—
493C22⋊Dic47—41no—
494C22⋊Dic47—41no—
495C22⋊Dic47—41no—
496(C2×D47)⋊C4—22no—
497(C2×D47)⋊C4—22no—
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—41no—
508(C2×D47)⋊C4—41no—
509(C2×D47)⋊C4—41no—
510(C2×D47)⋊C4—41no—
511(C2×D47)⋊C4—41no—
512(C2×D47)⋊C4—41no—
513(C2×D47)⋊C4—41no—
514(C2×D47)⋊C4—41no—
515(C2×D47)⋊C4—41no—
516(C2×D47)⋊C4—41no—
517(C2×D47)⋊C4—41no—
518(C2×D47)⋊C4—41no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522C4⋊Dic47—22no—
523C4⋊Dic47—22no—
524C4⋊Dic47—41no—
525C4⋊Dic47—41no—
526C4⋊Dic47—41no—
527C4⋊Dic47—41no—
528C4⋊Dic47—41no—
529C4⋊Dic47—41no—
530C4⋊Dic47—41no—
531Dic47⋊C4—22no—
532Dic47⋊C4—41no—
533Dic47⋊C4—41no—
534Dic47⋊C4—41no—
535Dic47⋊C4—41no—
536Dic47⋊C4—41no—
537Dic47⋊C4—41no—
538Dic47⋊C4—41no—
539Dic47⋊C4—41no—
540Dic47⋊C4—41no—
541Dic47⋊C4—41no—
542Dic47⋊C4—41no—
543C4×Dic47—41no—
544C4×Dic47—41no—
545C4×Dic47—41no—
546C4×Dic47—41no—
547C4×Dic47—41no—
548C23×C47—21no—
549C23×C47—21no—
550C23×C47—21no—
551C23×C47—21no—
552C23×C47—21no—
553C23×C47—21no—
554C23×C47—21no—
555C23×C47—21no—
556C23×C47—21no—
557C23×C47—21no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47H(5,𝔽2)12yes—
562C23×C47C2511yescharacteristic
563C22×D47—21no—
564C22×D47—21no—
565C22×D47—21no—
566C22×D47—21no—
567C22×D47—28no—
568C22×D47—21no—
569C22×D47—21no—
570C22×D47—21no—
571C22×D47—21no—
572C22×D47—21no—
573C22×D47—21no—
574C22×D47—21no—
575C22×D47—21no—
576C22×D47—21no—
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—21no—
580C22×D47—21no—
581C22×D47—44no—
582C22×D47—44no—
583C22×D47—44no—
584C22×D47—44no—
585C22×D47—44no—
586C22×D47—44no—
587C22×D47C2×#4112yes—
588C22×D47H(5,𝔽2)12yes—
589C22×D47H(5,𝔽2)12yes—
590C22×D472−1+412yes—
591D4×C47—82no—
592C2×C4×C47—21no—
593C2×C4×C47—21no—
594C2×C4×C47—21no—
595C2×C4×C47—21no—
596C2×C4×C47—21no—
597C2×C4×C47—21no—
598C2×C4×C47—21no—
599C2×C4×C47—21no—
600C2×C4×C47—21no—
601C2×C4×C47—21no—
602C2×C4×C47—21no—
603C2×C4×C47—21no—
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—44no—
631C2×C4×C47—82no—
632C2×C4×C47C2×#4112yes—
633C22⋊D47—44no—
634C22⋊D47—82no—
635C22⋊D47—82no—
636C22⋊D47—82no—
637C2×Dic47—21no—
638C2×Dic47—21no—
639C2×Dic47—21no—
640C2×Dic47—21no—
641C2×Dic47—21no—
642C2×Dic47—21no—
643C2×Dic47—21no—
644C2×Dic47—21no—
645C2×Dic47—21no—
646C2×Dic47—21no—
647C2×Dic47—21no—
648C2×Dic47—21no—
649C2×Dic47—21no—
650C2×Dic47—21no—
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—21no—
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—44no—
676C2×Dic47C2×#4112yes—
677D188—44no—
678D188—82no—
679C4×D47—44no—
680C4×D47—44no—
681C4×D47—44no—
682C4×D47—44no—
683C4×D47—82no—
684C4×D47—82no—
685C4×D47—82no—
686C4×D47—82no—
687C4×D47—82no—
688Dic94—82no—
689Dic94—82no—
690Dic94—82no—
691#36730—471nomaximal, Sylow
692C22×C47—22no—
693C22×C47—22no—
694C22×C47—22no—
695C22×C47—41no—
696C22×C47—41no—
697C22×C47—41no—
698C22×C47—41no—
699C22×C47—41no—
700C22×C47—41no—
701C22×C47—41no—
702C22×C47—41no—
703C22×C47—41no—
704C22×C47—41no—
705C22×C47—41no—
706C22×C47C22×#4111yescharacteristic
707C22×C47C2×H(5,𝔽2)11yescharacteristic
708C22×C47C2×H(5,𝔽2)11yescharacteristic
709C22×C47C2×H(5,𝔽2)11yescharacteristic
710C22×C47C2×2−1+411yescharacteristic
711C22×C47#58511yescharacteristic
712C22×C47#58511yescharacteristic
713C2×D47—22no—
714C2×D47—22no—
715C2×D47—22no—
716C2×D47—22no—
717C2×D47—22no—
718C2×D47—22no—
719C2×D47—22no—
720C2×D47—22no—
721C2×D47—22no—
722C2×D47—416no—
723C2×D47—41no—
724C2×D47—41no—
725C2×D47—41no—
726C2×D47—41no—
727C2×D47—41no—
728C2×D47—41no—
729C2×D47—41no—
730C2×D47—41no—
731C2×D47—41no—
732C2×D47—41no—
733C2×D47—41no—
734C2×D47#54214yes—
735C4×C47—22no—
736C4×C47—41no—
737C4×C47—41no—
738C4×C47—41no—
739C4×C47—41no—
740C4×C47—41no—
741C4×C47—41no—
742C4×C47—41no—
743C4×C47—41no—
744C4×C47—41no—
745C4×C47—41no—
746C4×C47—41no—
747C4×C47—41no—
748Dic47—22no—
749Dic47—41no—
750Dic47—41no—
751Dic47—41no—
752Dic47—41no—
753Dic47—41no—
754Dic47—41no—
755Dic47—41no—
756Dic47—41no—
757Dic47—41no—
758Dic47—41no—
759Dic47—41no—
760Dic47—41no—
761#2848—471no—
762#2847—471no—
763#2746—471no—
764#2746D4711yescharacteristic, complemented
765#2745—471no—
766#2745—471no—
767#2738—471no—
768#2738—471no—
769#2737—471no—
770#2737—471no—
771#2701—471no—
772#2701—471no—
773#2700—471no—
774#2700—471no—
775#2687—471no—
776#2687—471no—
777#2686—471no—
778#2686—471no—
779#2659—471no—
780#2639—471no—
781#2510—471no—
782#2510—471no—
783#2472—471no—
784#2472—471no—
785#2450—471no—
786#2450—471no—
787#2418—471no—
788#2418—471no—
789#2329—471no—
790#2325—471no—
791C2×#381—471no—
792C2×C47—42no—
793C2×C47—81no—
794C2×C47C2×#54211yescharacteristic
795C2×C47#349011yescharacteristic
796C2×C47#349311yescharacteristic
797C2×C47#353411yescharacteristic
798C2×C47#353411yescharacteristic
799C2×C47#353511yescharacteristic
800C2×C47#353511yescharacteristic
801D47—24no—
802D47—42no—
803D47—81no—
804C24×C4—471no—
805C2×#124—471no—
806C2×#124—471no—
807C2×#123—471no—
808C2×#123—471no—
809C2×C22⋊Q8—471no—
810C2×C22⋊Q8—471no—
811C2×C22⋊Q8—471no—
812C2×C22⋊Q8—471no—
813C2×C22⋊Q8—471no—
814C2×#121—471no—
815C2×#121—471no—
816C2×#121—471no—
817C2×#120—471no—
818C2×#120—471no—
819C2×C4×D4—471no—
820C2×C4×D4—471no—
821C22×C22⋊C4—471no—
822C22×C22⋊C4—471no—
823#401—471no—
824#401C2×D4711yescharacteristic, complemented
825#400—471no—
826#400—471no—
827#400—471no—
828#400—471no—
829#400—471no—
830#400C2×D4711yescharacteristic, complemented
831#399—471no—
832#399C2×D4711yescharacteristic
833#398—471no—
834#398—471no—
835#398—471no—
836#398—471no—
837#398—471no—
838#398C2×D4711yescharacteristic, complemented
839#397—471no—
840#397—471no—
841#397—471no—
842#397—471no—
843#397—471no—
844#397—471no—
845#397—471no—
846#397—471no—
847#397—471no—
848#397C2×D4711yescharacteristic, complemented
849#396—471no—
850#396—471no—
851#395—471no—
852#395—471no—
853#395—471no—
854#395—471no—
855#394—471no—
856#394—471no—
857#394—471no—
858#394—471no—
859#394—471no—
860#394—471no—
861#394—471no—
862#394—471no—
863#394—471no—
864#394C2×D4711yescharacteristic
865#393—471no—
866#393—471no—
867#393—471no—
868#393—471no—
869#393—471no—
870#393—471no—
871#391—471no—
872#391—471no—
873#391—471no—
874#391—471no—
875#390—471no—
876#390—471no—
877#389—471no—
878#389—471no—
879#388—471no—
880#388—471no—
881#388—471no—
882#388—471no—
883#388—471no—
884#388—471no—
885#388—471no—
886#388—471no—
887#388—471no—
888#388—471no—
889#388—471no—
890#388—471no—
891#388C2×D4711yescharacteristic
892#388C2×D4711yescharacteristic, complemented
893#387—471no—
894#387—471no—
895#387—471no—
896#387—471no—
897#387—471no—
898#387—471no—
899#387—471no—
900#387—471no—
901#387—471no—
902#387C2×D4711yescharacteristic, complemented
903#386—471no—
904#386—471no—
905#386—471no—
906#386—471no—
907#386—471no—
908#386—471no—
909#386—471no—
910#386—471no—
911#386—471no—
912#386—471no—
913#386—471no—
914#386—471no—
915#386—471no—
916#386—471no—
917#386C2×D4711yescharacteristic
918#386C2×D4711yescharacteristic
919#385—471no—
920#385—471no—
921#385—471no—
922#385—471no—
923#385—471no—
924#385—471no—
925#385—471no—
926#385—471no—
927#385—471no—
928#385—471no—
929#385C2×D4711yescharacteristic, complemented
930#385C2×D4711yescharacteristic, complemented
931#383—471no—
932#383—471no—
933#381—471no—
934#381—471no—
935#381—471no—
936#381—471no—
937#381—471no—
938#381—471no—
939#381—471no—
940#381C2×D4711yescharacteristic
941#380—471no—
942#380—471no—
943#380—471no—
944#380—471no—
945#380—471no—
946#380—471no—
947#380—471no—
948#380—471no—
949#380—471no—
950#380C2×D4711yescharacteristic
951#379—471no—
952#379—471no—
953C4×C22⋊C4—471no—
954C4×C22⋊C4—471no—
955C2×#95—471no—
956C2×#95—471no—
957C2×#95—471no—
958C2×#95—471no—
959C47#3673011yescharacteristic, complemented, Sylow
960C25—471no—
961C22×Q8—471no—
962C22×Q8—471no—
963C22×Q8—471no—
964C22×D4—471no—
965C22×D4—471no—
966C22×D4—471no—
967C22×D4—471no—
968C22×D4—471no—
969C22×D4—471no—
970C22×D4C22×D4711yescharacteristic
971C23×C4—471no—
972C23×C4—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—944no—
982C23×C4—1882no—
983C23×C4—1882no—
984C23×C4C22×D4711yescharacteristic
985C23×C4C22×D4711yescharacteristic
986#124—1882no—
987#124—1882no—
988#123—1882no—
989#123—1882no—
990C22⋊Q8—944no—
991C22⋊Q8—1882no—
992C22⋊Q8—1882no—
993C22⋊Q8—1882no—
994C22⋊Q8—1882no—
995#121—944no—
996#121—1882no—
997#121—1882no—
998#120—1882no—
999#120—1882no—
1000C4×D4—1882no—
1001C4×D4—1882no—
1002C2×C4⋊C4—471no—
1003C2×C4⋊C4—471no—
1004C2×C4⋊C4—471no—
1005C2×C4⋊C4—471no—
1006C2×C4⋊C4—471no—
1007C2×C4⋊C4—471no—
1008C2×C4⋊C4—471no—
1009C2×C4⋊C4—471no—
1010C2×C4⋊C4—471no—
1011C2×C4⋊C4—471no—
1012C2×C4⋊C4—471no—
1013C2×C4⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1024C2×C4⋊C4C22×D4711yescharacteristic
1025C2×C4⋊C4C22×D4711yescharacteristic
1026C2×C4⋊C4C22×D4711yescharacteristic
1027C2×C4⋊C4C22×D4711yescharacteristic
1028C2×C4⋊C4C22×D4711yescharacteristic
1029C2×C4⋊C4C22×D4711yescharacteristic
1030C2×C22⋊C4—471no—
1031C2×C22⋊C4—471no—
1032C2×C22⋊C4—471no—
1033C2×C22⋊C4—471no—
1034C2×C22⋊C4—471no—
1035C2×C22⋊C4—471no—
1036C2×C22⋊C4—471no—
1037C2×C22⋊C4—471no—
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—471no—
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—1882no—
1067C2×C22⋊C4—1882no—
1068C2×C22⋊C4C22×D4711yescharacteristic
1069C2×C22⋊C4C22×D4711yescharacteristic
1070C2×C22⋊C4C22×D4711yescharacteristic
1071C2×C22⋊C4C22×D4711yescharacteristic
1072C2×C22⋊C4C22×D4711yescharacteristic
1073C2×C22⋊C4C22×D4711yescharacteristic
1074C2×C22⋊C4C22×D4711yescharacteristic
1075C2×C22⋊C4C22×D4711yescharacteristic
1076C2×C22⋊C4C22×D4711yescharacteristic
1077C2×C22⋊C4C22×D4711yescharacteristic
1078C2×C42—471no—
1079C2×C42—471no—
1080C2×C42—471no—
1081C2×C42—471no—
1082C2×C42—471no—
1083C2×C42C22×D4711yescharacteristic
1084#95—471no—
1085#95—471no—
1086#95—471no—
1087#95—471no—
1088#95—471no—
1089#95—471no—
1090#95—471no—
1091#95—471no—
1092#95—471no—
1093#95—471no—
1094#95—471no—
1095#95—471no—
1096#95—471no—
1097#95—471no—
1098#95—471no—
1099#95—471no—
1100#95—471no—
1101#95—471no—
1102#95—471no—
1103#95—471no—
1104#95—471no—
1105#95—471no—
1106#95—471no—
1107#95—471no—
1108#95—471no—
1109#95—471no—
1110#95—471no—
1111#95—471no—
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#95C22×D4711yescharacteristic
1123#95C22×D4711yescharacteristic
1124#95C22×D4711yescharacteristic
1125#95C22×D4711yescharacteristic
1126#95C22×D4711yescharacteristic
1127#95C22×D4711yescharacteristic
1128#95C22×D4711yescharacteristic
1129#95C22×D4711yescharacteristic
1130#95C22×D4711yescharacteristic
1131#95C22×D4711yescharacteristic
1132#95C22×D4711yescharacteristic
1133#95C22×D4711yescharacteristic
1134#95C22×D4711yescharacteristic
1135#95C22×D4711yescharacteristic
1136C24—471no—
1137C24—471no—
1138C24—471no—
1139C24—942no—
1140C24—942no—
1141C24—942no—
1142C24—942no—
1143C24—942no—
1144C24—1881no—
1145C24—1881no—
1146C24C23×D4711yescharacteristic
1147C24C23×D4711yescharacteristic
1148C2×Q8—942no—
1149C2×Q8—1881no—
1150C2×Q8—1881no—
1151C2×Q8—1881no—
1152C2×Q8—1881no—
1153C2×Q8—1881no—
1154C2×Q8—1881no—
1155C2×Q8—1881no—
1156C2×Q8—1881no—
1157C2×D4—22no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—942no—
1161C2×D4—942no—
1162C2×D4—942no—
1163C2×D4—942no—
1164C2×D4—942no—
1165C2×D4—942no—
1166C2×D4—942no—
1167C2×D4—942no—
1168C2×D4—942no—
1169C2×D4—942no—
1170C2×D4—1881no—
1171C2×D4—1881no—
1172C2×D4—1881no—
1173C2×D4—1881no—
1174C2×D4—1881no—
1175C2×D4—1881no—
1176C2×D4—1881no—
1177C2×D4—1881no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—471no—
1185C22×C4—474no—
1186C22×C4—471no—
1187C22×C4—471no—
1188C22×C4—471no—
1189C22×C4—471no—
1190C22×C4—471no—
1191C22×C4—471no—
1192C22×C4—471no—
1193C22×C4—471no—
1194C22×C4—471no—
1195C22×C4—471no—
1196C22×C4—471no—
1197C22×C4—471no—
1198C22×C4—942no—
1199C22×C4—942no—
1200C22×C4—942no—
1201C22×C4—942no—
1202C22×C4—942no—
1203C22×C4—942no—
1204C22×C4—942no—
1205C22×C4—942no—
1206C22×C4—942no—
1207C22×C4—942no—
1208C22×C4—942no—
1209C22×C4—1881no—
1210C22×C4—1881no—
1211C22×C4—1881no—
1212C22×C4—1881no—
1213C22×C4—1881no—
1214C22×C4—1881no—
1215C22×C4—1881no—
1216C22×C4—1881no—
1217C22×C4—1881no—
1218C22×C4—1881no—
1219C22×C4—1881no—
1220C22×C4—1881no—
1221C22×C4—1881no—
1222C22×C4—1881no—
1223C22×C4—1881no—
1224C22×C4—1881no—
1225C22×C4—1881no—
1226C22×C4—18816no—
1227C22×C4—1881no—
1228C22×C4C23×D4711yescharacteristic
1229C22×C4C23×D4711yescharacteristic
1230C22×C4C23×D4711yescharacteristic
1231C22×C4C23×D4711yescharacteristic
1232C22×C4C23×D4711yescharacteristic
1233C22×C4C23×D4711yescharacteristic
1234C22×C4C23×D4711yescharacteristic
1235C22×C4C23×D4711yescharacteristic
1236C22×C4C23×D4711yescharacteristic
1237C22×C4C23×D4711yescharacteristic
1238C22×C4C23×D4711yescharacteristic
1239C22×C4C23×D4711yescharacteristic
1240C22×C4C23×D4711yescharacteristic
1241C4⋊C4—22no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—942no—
1249C4⋊C4—942no—
1250C4⋊C4—942no—
1251C4⋊C4—1881no—
1252C4⋊C4—1881no—
1253C4⋊C4—1881no—
1254C4⋊C4—1881no—
1255C4⋊C4—1881no—
1256C4⋊C4—1881no—
1257C4⋊C4—1881no—
1258C4⋊C4—1881no—
1259C4⋊C4—1881no—
1260C4⋊C4—1881no—
1261C4⋊C4—1881no—
1262C4⋊C4—1881no—
1263C4⋊C4—1881no—
1264C4⋊C4—1881no—
1265C4⋊C4—1881no—
1266C4⋊C4—1881no—
1267C4⋊C4—1881no—
1268C4⋊C4—1881no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—942no—
1280C22⋊C4—942no—
1281C22⋊C4—942no—
1282C22⋊C4—942no—
1283C22⋊C4—942no—
1284C22⋊C4—942no—
1285C22⋊C4—942no—
1286C22⋊C4—942no—
1287C22⋊C4—942no—
1288C22⋊C4—942no—
1289C22⋊C4—942no—
1290C22⋊C4—942no—
1291C22⋊C4—942no—
1292C22⋊C4—942no—
1293C22⋊C4—1881no—
1294C22⋊C4—1881no—
1295C22⋊C4—1881no—
1296C22⋊C4—1881no—
1297C22⋊C4—1881no—
1298C22⋊C4—1881no—
1299C22⋊C4—1881no—
1300C22⋊C4—1881no—
1301C22⋊C4—1881no—
1302C22⋊C4—1881no—
1303C22⋊C4—1881no—
1304C22⋊C4—1881no—
1305C22⋊C4—1881no—
1306C22⋊C4—1881no—
1307C22⋊C4—1881no—
1308C22⋊C4—1881no—
1309C22⋊C4—1881no—
1310C22⋊C4—1881no—
1311C22⋊C4—1881no—
1312C22⋊C4—1881no—
1313C22⋊C4—1881no—
1314C22⋊C4—1881no—
1315C42—41no—
1316C42—1881no—
1317C42—1881no—
1318C42—1881no—
1319C42—1881no—
1320C42—1881no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—472no—
1335C23—472no—
1336C23—472no—
1337C23—472no—
1338C23—948no—
1339C23—941no—
1340C23—941no—
1341C23—941no—
1342C23—941no—
1343C23—941no—
1344C23—941no—
1345C23—941no—
1346C23—941no—
1347C23—941no—
1348C23—941no—
1349C23—941no—
1350C23—941no—
1351C23—941no—
1352C23—941no—
1353C23—941no—
1354C23—941no—
1355C23—941no—
1356C23—1884no—
1357C23—1884no—
1358C23—1884no—
1359C23—1884no—
1360C23—1884no—
1361C23—1884no—
1362C23#1309407012yes—
1363C23C24×D4711yescharacteristic
1364Q8—3762no—
1365Q8—3762no—
1366Q8—3762no—
1367D4—82no—
1368D4—3762no—
1369D4—3762no—
1370D4—3762no—
1371D4—3762no—
1372D4—1884no—
1373D4—1884no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
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—44no—
1413C2×C4—82no—
1414C2×C4—472no—
1415C2×C4—941no—
1416C2×C4—941no—
1417C2×C4—941no—
1418C2×C4—941no—
1419C2×C4—941no—
1420C2×C4—941no—
1421C2×C4—941no—
1422C2×C4—941no—
1423C2×C4—941no—
1424C2×C4—941no—
1425C2×C4—941no—
1426C2×C4—941no—
1427C2×C4—941no—
1428C2×C4—941no—
1429C2×C4—941no—
1430C2×C4—941no—
1431C2×C4—941no—
1432C2×C4—941no—
1433C2×C4—941no—
1434C2×C4—941no—
1435C2×C4—941no—
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—3762no—
1454C2×C4—3762no—
1455C2×C4—3762no—
1456C2×C4—3762no—
1457C2×C4—3762no—
1458C2×C4—1884no—
1459C2×C4—1884no—
1460C2×C4—1884no—
1461C2×C4—1884no—
1462C2×C4—1884no—
1463C2×C4#41×D4712yes—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—474no—
1479C22—942no—
1480C22—942no—
1481C22—942no—
1482C22—942no—
1483C22—942no—
1484C22—942no—
1485C22—942no—
1486C22—942no—
1487C22—942no—
1488C22—18816no—
1489C22—1881no—
1490C22—1881no—
1491C22—1881no—
1492C22—1881no—
1493C22—1881no—
1494C22—1881no—
1495C22—1881no—
1496C22—1881no—
1497C22—1881no—
1498C22—1881no—
1499C22—1881no—
1500C22C2×#41×D4711yescharacteristic
1501C22H(5,𝔽2)×D4711yescharacteristic
1502C22H(5,𝔽2)×D4711yescharacteristic
1503C22C2×#1309407011yescharacteristic
1504C222−1+4×D4711yescharacteristic
1505C22#1568995811yescharacteristic
1506C22#1568995911yescharacteristic
1507C4—22no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—942no—
1521C4—1881no—
1522C4—1881no—
1523C4—1881no—
1524C4—1881no—
1525C4—1881no—
1526C4—1881no—
1527C4—1881no—
1528C4—1881no—
1529C4—1881no—
1530C4—1881no—
1531C4—1881no—
1532C4—1881no—
1533C2—42no—
1534C2—81no—
1535C2—944no—
1536C2—3761no—
1537C2—1882no—
1538C2#542×D4711yescharacteristic
1539C2#2025707211yescharacteristic
1540C2#2025710411yescharacteristic
1541C2#2025756911yescharacteristic
1542C2#2025758111yescharacteristic
1543C2#2025759511yescharacteristic
1544C2#2025759611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2746C2
prime radical#20251669C2
hypercenter#2746D47
hypocenterC47#36730
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2746

Complements

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

NH ≅ G/Ntype
1. #20251676C2semidirect
3. #20250568C2semidirect
4. #20250562C2semidirect
5. #20250550C2semidirect
6. #20250464C2semidirect
7. #20250452C2semidirect
8. #20250442C2semidirect
9. #20250438C2semidirect
10. #20250002C2semidirect
11. #20249998C2semidirect
12. #20249990C2semidirect
13. #20249986C2semidirect
14. #20249816C2semidirect
15. #20249812C2semidirect
16. #20249796C2semidirect
17. #20249792C2semidirect
18. #20249503C2semidirect
19. #20249315C2semidirect
20. #20247953C2semidirect
21. #20247943C2semidirect
22. #20247512C2semidirect
23. #20247509C2semidirect
24. #20247217C2semidirect
25. #20247215C2semidirect
26. #20246853C2semidirect
27. #20246849C2semidirect
28. #20246117C2semidirect
29. #20246085C2semidirect
30. #381×D47C2semidirect
31. C47×#2746C2semidirect
51. C47⋊#401C22semidirect
52. #15689065C22semidirect
53. #15689065C22semidirect
54. #15689063C22semidirect
55. #15689063C22semidirect
56. #15689062C22semidirect
58. #15689056C22semidirect
59. #15689056C22semidirect
60. #15689056C22semidirect
61. #15689056C22semidirect
62. #15689054C22semidirect
64. #15689052C22semidirect
65. #15689052C22semidirect
67. #15689051C22semidirect
69. #15689049C22semidirect
71. #15689048C22semidirect
72. #15689047C22semidirect
73. #15689046C22semidirect
74. #15689044C22semidirect
75. #15689044C22semidirect
76. #15689044C22semidirect
77. #15689043C22semidirect
83. #15689039C22semidirect
84. #15689039C22semidirect
89. #15689036C22semidirect
90. #15689036C22semidirect
91. #15689035C22semidirect
92. #15689035C22semidirect
93. #15689027C22semidirect
94. #15689027C22semidirect
95. #15689027C22semidirect
96. #15689027C22semidirect
99. #15689021C22semidirect
100. #15689019C22semidirect
102. #15689016C22semidirect
103. #15689016C22semidirect
106. #15689015C22semidirect
107. #15689015C22semidirect
110. #15689012C22semidirect
113. #15689009C22semidirect
114. #15689009C22semidirect
115. #15689008C22semidirect
116. #15689006C22semidirect
117. #15689006C22semidirect
118. #15689006C22semidirect
119. #15689005C22semidirect
120. #15689005C22semidirect
121. #15689004C22semidirect
123. #15689002C22semidirect
135. #15688999C22semidirect
143. #15688997C22semidirect
145. #15688994C22semidirect
146. #15688991C22semidirect
147. #15688990C22semidirect
155. #15688983C22semidirect
163. #15688980C22semidirect
172. C47×#401C22semidirect
173. C47×#400C22semidirect
175. C47×#398C22semidirect
176. C47×#397C22semidirect
179. C47×#388C22semidirect
180. C47×#387C22semidirect
183. C47×#385C22semidirect
184. C47×#385C22semidirect
764. #2746D47semidirect
824. #401C2×D47semidirect
830. #400C2×D47semidirect
838. #398C2×D47semidirect
848. #397C2×D47semidirect
892. #388C2×D47semidirect
902. #387C2×D47semidirect
929. #385C2×D47semidirect
930. #385C2×D47semidirect
959. C47#36730semidirect

Maximal subgroups

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

subgroupindex
#202516762
#202516692
#202505682
#202505622
#202505502
#202504642
#202504522
#202504422
#202504382
#202500022
#202499982
#202499902
#202499862
#202498162
#202498122
#202497962
#202497922
#202495032
#202493152
#202479532
#202479432
#202475122
#202475092
#202472172
#202472152
#202468532
#202468492
#202461172
#202460852
#381×D472
C47×#27462
#3673047