Finite Group Databasebeta

← #26424129

Subgroups — #26424129

Order 12032.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251676C211yesmaximal, characteristic, complemented
2#20251671C211yesmaximal, characteristic
3#20251236C211yesmaximal, characteristic, complemented
4#20251117C211yesmaximal, characteristic, complemented
5#20251110C211yesmaximal, characteristic, complemented
6#20251065C211yesmaximal, characteristic, complemented
7#20250897C211yesmaximal, characteristic, complemented
8#20250720C211yesmaximal, characteristic, complemented
9#20250623C211yesmaximal, characteristic, complemented
10#20250579C211yesmaximal, characteristic, complemented
11#20250362C211yesmaximal, characteristic, complemented
12#20250305C211yesmaximal, characteristic, complemented
13#20250143C211yesmaximal, characteristic, complemented
14#20250113C211yesmaximal, characteristic, complemented
15#20249869C211yesmaximal, characteristic, complemented
16#20249854C211yesmaximal, characteristic, complemented
17#20249741C211yesmaximal, characteristic, complemented
18#20249162C211yesmaximal, characteristic, complemented
19#20249162C211yesmaximal, characteristic, complemented
20#20247945C211yesmaximal, characteristic, complemented
21#20247886C211yesmaximal, characteristic, complemented
22#20247652C211yesmaximal, characteristic, complemented
23#20247530C211yesmaximal, characteristic, complemented
24#20247213C211yesmaximal, characteristic, complemented
25#20247202C211yesmaximal, characteristic, complemented
26#20247139C211yesmaximal, characteristic, complemented
27#20247128C211yesmaximal, characteristic, complemented
28#20246050C211yesmaximal, characteristic, complemented
29#20246041C211yesmaximal, characteristic, complemented
30#385×D47C211yesmaximal, characteristic, complemented
31C47×#2747C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094019C2211yescharacteristic, complemented
34C2×#13094014C2211yescharacteristic, complemented
35C2×#13094009C2211yescharacteristic, complemented
36C2×#13094004C2211yescharacteristic
37C2×#13094004C2211yescharacteristic
38C2×#13094003C2211yescharacteristic
39C2×#13094002C2211yescharacteristic, complemented
40C2×#13093999C2211yescharacteristic
41C2×#13093999C2211yescharacteristic
42C2×#13093998C2211yescharacteristic
43C2×#13093994C2211yescharacteristic
44C2×#13093994C2211yescharacteristic
45C2×C4×D188C2211yescharacteristic
46C2×#13093986C2211yescharacteristic
47C2×C4⋊C4×D47C2211yescharacteristic
48C2×C4⋊C4×D47C2211yescharacteristic
49C2×C22⋊C4×D47C2211yescharacteristic
50C2×C22⋊C4×D47C2211yescharacteristic
51C47⋊#401C2211yescharacteristic, complemented
52#15689065C2211yescharacteristic, complemented
53#15689065C2211yescharacteristic, complemented
54#15689065C2211yescharacteristic, complemented
55#15689064C2211yescharacteristic, complemented
56#15689064C2211yescharacteristic, complemented
57#15689062C2211yescharacteristic, complemented
58#15689061C2211yescharacteristic, complemented
59#15689060C2211yescharacteristic, complemented
60#15689060C2211yescharacteristic, complemented
61#15689057C2211yescharacteristic, complemented
62#15689056C2211yescharacteristic, complemented
63#15689055C2211yescharacteristic, complemented
64#15689055C2211yescharacteristic, complemented
65#15689053C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic
67#15689052C2211yescharacteristic
68#15689052C2211yescharacteristic, complemented
69#15689051C2211yescharacteristic
70#15689051C2211yescharacteristic
71#15689050C2211yescharacteristic
72#15689050C2211yescharacteristic
73#15689050C2211yescharacteristic, complemented
74#15689050C2211yescharacteristic, complemented
75#15689049C2211yescharacteristic, complemented
76#15689049C2211yescharacteristic, complemented
77#15689049C2211yescharacteristic, complemented
78#15689045C2211yescharacteristic, complemented
79#15689045C2211yescharacteristic, complemented
80#15689045C2211yescharacteristic, complemented
81#15689044C2211yescharacteristic, complemented
82#15689041C2211yescharacteristic
83#15689041C2211yescharacteristic
84#15689041C2211yescharacteristic, complemented
85#15689041C2211yescharacteristic, complemented
86#15689040C2211yescharacteristic
87#15689040C2211yescharacteristic
88#15689039C2211yescharacteristic
89#15689039C2211yescharacteristic
90#15689038C2211yescharacteristic
91#15689038C2211yescharacteristic
92#15689036C2211yescharacteristic, complemented
93#15689027C2211yescharacteristic, complemented
94#15689025C2211yescharacteristic
95#15689024C2211yescharacteristic
96#15689023C2211yescharacteristic
97#15689023C2211yescharacteristic
98#15689022C2211yescharacteristic, complemented
99#15689021C2211yescharacteristic, complemented
100#15689020C2211yescharacteristic, complemented
101#15689016C2211yescharacteristic
102#15689016C2211yescharacteristic
103#15689015C2211yescharacteristic
104#15689015C2211yescharacteristic, complemented
105#15689015C2211yescharacteristic, complemented
106#15689015C2211yescharacteristic, complemented
107#15689014C2211yescharacteristic
108#15689014C2211yescharacteristic, complemented
109#15689014C2211yescharacteristic, complemented
110#15689013C2211yescharacteristic
111#15689012C2211yescharacteristic
112#15689010C2211yescharacteristic, complemented
113#15689010C2211yescharacteristic, complemented
114#15689010C2211yescharacteristic, complemented
115#15689010C2211yescharacteristic, complemented
116#15689009C2211yescharacteristic, complemented
117#15689009C2211yescharacteristic, complemented
118#15689004C2211yescharacteristic, complemented
119#15689001C2211yescharacteristic
120#15689001C2211yescharacteristic
121#15689001C2211yescharacteristic
122#15689001C2211yescharacteristic
123#15689001C2211yescharacteristic
124#15689001C2211yescharacteristic
125#15689001C2211yescharacteristic
126#15689001C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689001C2211yescharacteristic, complemented
132#15689000C2211yescharacteristic
133#15689000C2211yescharacteristic
134#15688999C2211yescharacteristic
135#15688999C2211yescharacteristic
136#15688998C2211yescharacteristic
137#15688998C2211yescharacteristic
138#15688998C2211yescharacteristic
139#15688997C2211yescharacteristic
140#15688997C2211yescharacteristic
141#15688997C2211yescharacteristic
142#15688997C2211yescharacteristic
143#15688997C2211yescharacteristic
144#15688997C2211yescharacteristic
145#15688997C2211yescharacteristic
146#15688997C2211yescharacteristic
147#15688997C2211yescharacteristic
148#15688997C2211yescharacteristic, complemented
149#15688997C2211yescharacteristic, complemented
150#15688996C2211yescharacteristic
151#15688995C2211yescharacteristic
152#15688994C2211yescharacteristic
153#15688994C2211yescharacteristic
154#15688994C2211yescharacteristic
155#15688994C2211yescharacteristic
156#15688994C2211yescharacteristic
157#15688994C2211yescharacteristic, complemented
158#15688990C2211yescharacteristic, complemented
159#15688989C2211yescharacteristic, complemented
160#15688985C2211yescharacteristic, complemented
161#15688980C2211yescharacteristic
162#15688980C2211yescharacteristic
163#15688980C2211yescharacteristic
164#15688980C2211yescharacteristic
165#15688980C2211yescharacteristic, complemented
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168C4×(C2×D47)⋊C4C2211yescharacteristic
169#15688970C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C47×#400C2211yescharacteristic, complemented
173C47×#400C2211yescharacteristic, complemented
174C47×#398C2211yescharacteristic, complemented
175C47×#398C2211yescharacteristic, complemented
176C47×#397C2211yescharacteristic
177C47×#397C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#388C2211yescharacteristic
180C47×#387C2211yescharacteristic, complemented
181C47×#387C2211yescharacteristic, complemented
182C47×#387C2211yescharacteristic, complemented
183C47×#387C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic
185C47×#380C2211yescharacteristic
186C47×#380C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C22×C4×D47—42no—
198C22×C4×D47—42no—
199C22×C4×D47—42no—
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210#13094019—42no—
211#13094014—42no—
212#13094009—42no—
213#13094004—42no—
214#13094004—42no—
215#13094003—42no—
216#13094002—42no—
217#13093999—42no—
218#13093999—42no—
219#13093998—42no—
220#13093994—24no—
221#13093994—24no—
222C4×D188—42no—
223#13093986—42no—
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
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×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
248C4⋊C4×D47—42no—
249C4⋊C4×D47—42no—
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
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
290C22⋊C4×D47—24no—
291C22⋊C4×D47—42no—
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
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
328C23×C4×C47C2311yescharacteristic
329C2×C4⋊C4×C47C2311yescharacteristic
330C2×C4⋊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×C4⋊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×C42×C47C2311yescharacteristic
346C2×C42×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×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
364C23×D47—22no—
365C23×D47—22no—
366C23×D47—41no—
367C23×D47—41no—
368C23×D47—41no—
369C23×D47—41no—
370C23×D47#4114yes—
371C23×D47C2411yescharacteristic
372C23×D47C2411yescharacteristic
373C23×D47C2411yescharacteristic
374C23×D47C2411yescharacteristic
375C22×C4×C47—22no—
376C22×C4×C47—22no—
377C22×C4×C47—41no—
378C22×C4×C47C2411yescharacteristic
379C22×C4×C47C2411yescharacteristic
380C22×C4×C47C2411yescharacteristic
381C22×C4×C47C2411yescharacteristic
382C22×C4×C47C2411yescharacteristic
383C22×C4×C47C2411yescharacteristic
384C22×C4×C47C2411yescharacteristic
385C22×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×C4×C47C2411yescharacteristic
388C22×C4×C47C2411yescharacteristic
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C2×C22⋊D47—22no—
393C2×C22⋊D47—22no—
394C2×C22⋊D47—41no—
395C2×C22⋊D47—41no—
396C2×C22⋊D47—41no—
397C2×C22⋊D47—41no—
398C22×Dic47—41no—
399C22×Dic47—41no—
400C22×Dic47—41no—
401C22×Dic47C2411yescharacteristic
402C22×Dic47C2411yescharacteristic
403C22×Dic47C2411yescharacteristic
404C22×Dic47C2411yescharacteristic
405C22×Dic47C2411yescharacteristic
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C2×D188—22no—
414C2×D188—22no—
415C2×D188—22no—
416C2×D188—22no—
417C2×D188—22no—
418C2×D188—22no—
419C2×D188—22no—
420C2×D188—22no—
421C2×D188—22no—
422C2×D188—41no—
423C2×D188—41no—
424C2×D188—41no—
425C2×D188—41no—
426C2×D188—41no—
427C2×D188—41no—
428C2×C4×D47—22no—
429C2×C4×D47—22no—
430C2×C4×D47—22no—
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—41no—
439C2×C4×D47—41no—
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—41no—
447C2×C4×D47—41no—
448C2×C4×D47—416no—
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—41no—
459C2×Dic94—22no—
460C2×Dic94—41no—
461C2×Dic94—41no—
462C4⋊C4×C47—22no—
463C4⋊C4×C47—22no—
464C4⋊C4×C47—22no—
465C4⋊C4×C47—22no—
466C4⋊C4×C47—41no—
467C4⋊C4×C47—41no—
468C4⋊C4×C47—41no—
469C4⋊C4×C47—41no—
470C4⋊C4×C47—41no—
471C4⋊C4×C47—41no—
472C22⋊C4×C47—22no—
473C22⋊C4×C47—22no—
474C22⋊C4×C47—22no—
475C22⋊C4×C47—41no—
476C22⋊C4×C47—41no—
477C22⋊C4×C47—41no—
478C42×C47—41no—
479C42×C47—41no—
480C22⋊Dic47—22no—
481C22⋊Dic47—41no—
482C22⋊Dic47—41no—
483C22⋊Dic47—41no—
484(C2×D47)⋊C4—22no—
485(C2×D47)⋊C4—22no—
486(C2×D47)⋊C4—22no—
487(C2×D47)⋊C4—22no—
488(C2×D47)⋊C4—22no—
489(C2×D47)⋊C4—22no—
490(C2×D47)⋊C4—22no—
491(C2×D47)⋊C4—22no—
492(C2×D47)⋊C4—22no—
493(C2×D47)⋊C4—22no—
494(C2×D47)⋊C4—22no—
495(C2×D47)⋊C4—22no—
496(C2×D47)⋊C4—41no—
497(C2×D47)⋊C4—41no—
498(C2×D47)⋊C4—41no—
499(C2×D47)⋊C4—41no—
500(C2×D47)⋊C4—41no—
501(C2×D47)⋊C4—41no—
502(C2×D47)⋊C4—41no—
503(C2×D47)⋊C4—41no—
504(C2×D47)⋊C4—41no—
505(C2×D47)⋊C4—41no—
506(C2×D47)⋊C4—41no—
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—
520C4⋊Dic47—41no—
521C4⋊Dic47—41no—
522C4⋊Dic47—41no—
523C4⋊Dic47—41no—
524C4⋊Dic47—41no—
525C4⋊Dic47—41no—
526C4⋊Dic47—41no—
527C4⋊Dic47—41no—
528C4⋊Dic47—41no—
529C4⋊Dic47—41no—
530C4⋊Dic47—41no—
531C4⋊Dic47—41no—
532Dic47⋊C4—22no—
533Dic47⋊C4—22no—
534Dic47⋊C4—22no—
535Dic47⋊C4—22no—
536Dic47⋊C4—41no—
537Dic47⋊C4—41no—
538Dic47⋊C4—41no—
539Dic47⋊C4—41no—
540Dic47⋊C4—41no—
541Dic47⋊C4—41no—
542Dic47⋊C4—41no—
543Dic47⋊C4—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×C47C2×#4112yes—
555C23×C47C2511yescharacteristic
556C22×D47—21no—
557C22×D47—21no—
558C22×D47—21no—
559C22×D47—21no—
560C22×D47—21no—
561C22×D47—21no—
562C22×D47—21no—
563C22×D47—21no—
564C22×D47—21no—
565C22×D47—21no—
566C22×D47—28no—
567C22×D47—21no—
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×D47C2×#4112yes—
589C22×D47H(5,𝔽2)12yes—
590C22×D472−1+412yes—
591C2×C4×C47—21no—
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—21no—
631C2×C4×C47—44no—
632C2×C4×C47H(5,𝔽2)12yes—
633C2×C4×C47H(5,𝔽2)12yes—
634C22⋊D47—82no—
635C22⋊D47—82no—
636C2×Dic47—21no—
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—44no—
673D188—44no—
674D188—44no—
675D188—82no—
676D188—82no—
677D188—82no—
678C4×D47—44no—
679C4×D47—44no—
680C4×D47—44no—
681C4×D47—44no—
682C4×D47—44no—
683C4×D47—44no—
684C4×D47—82no—
685C4×D47—82no—
686C4×D47—82no—
687C4×D47—82no—
688Dic94—82no—
689#36757—471nomaximal, Sylow
690C22×C47—22no—
691C22×C47—22no—
692C22×C47—22no—
693C22×C47—41no—
694C22×C47—41no—
695C22×C47—41no—
696C22×C47—41no—
697C22×C47C22×#4111yescharacteristic
698C22×C47C2×H(5,𝔽2)11yescharacteristic
699C22×C47C2×H(5,𝔽2)11yescharacteristic
700C22×C47C2×H(5,𝔽2)11yescharacteristic
701C22×C47C2×2−1+411yescharacteristic
702C22×C47#58511yescharacteristic
703C22×C47#58511yescharacteristic
704C2×D47—22no—
705C2×D47—22no—
706C2×D47—22no—
707C2×D47—22no—
708C2×D47—22no—
709C2×D47—22no—
710C2×D47—22no—
711C2×D47—22no—
712C2×D47—22no—
713C2×D47—416no—
714C2×D47—41no—
715C2×D47—41no—
716C2×D47—41no—
717C2×D47—41no—
718C2×D47—41no—
719C2×D47—41no—
720C2×D47—41no—
721C2×D47—41no—
722C2×D47—41no—
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#53914yes—
733C4×C47—22no—
734C4×C47—22no—
735C4×C47—41no—
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—
747Dic47—41no—
748Dic47—41no—
749Dic47—41no—
750Dic47—41no—
751Dic47—41no—
752Dic47—41no—
753Dic47—41no—
754Dic47—41no—
755Dic47—41no—
756Dic47—41no—
757Dic47—41no—
758Dic47—41no—
759#2848—471no—
760#2847—471no—
761#2796—471no—
762#2787—471no—
763#2786—471no—
764#2782—471no—
765#2770—471no—
766#2757—471no—
767#2750—471no—
768#2747D4711yescharacteristic, complemented
769#2746—471no—
770#2728—471no—
771#2723—471no—
772#2711—471no—
773#2708—471no—
774#2691—471no—
775#2690—471no—
776#2681—471no—
777#2622—471no—
778#2622—471no—
779#2510—471no—
780#2505—471no—
781#2481—471no—
782#2473—471no—
783#2450—471no—
784#2449—471no—
785#2444—471no—
786#2443—471no—
787#2321—471no—
788#2321—471no—
789C2×#385—471no—
790C2×C47—42no—
791C2×C47C2×#53911yescharacteristic
792C2×C47#350511yescharacteristic
793C2×C47#350511yescharacteristic
794C2×C47#353211yescharacteristic
795C2×C47#353311yescharacteristic
796C2×C47#354111yescharacteristic
797C2×C47#354111yescharacteristic
798D47—24no—
799D47—42no—
800D47—81no—
801D47—81no—
802C24×C4—471no—
803C2×#126—471no—
804C2×#125—471no—
805C2×#123—471no—
806C2×C22⋊Q8—471no—
807C2×C22⋊Q8—471no—
808C2×C22⋊Q8—471no—
809C2×C22⋊Q8—471no—
810C2×#121—471no—
811C2×#121—471no—
812C2×#121—471no—
813C2×#120—471no—
814C2×#120—471no—
815C2×C4×D4—471no—
816C2×C4×D4—471no—
817C22×C4⋊C4—471no—
818C22×C4⋊C4—471no—
819C22×C22⋊C4—471no—
820C22×C22⋊C4—471no—
821#401—471no—
822#400—471no—
823#400—471no—
824#400—471no—
825#400—471no—
826#400—471no—
827#400—471no—
828#400—471no—
829#400C2×D4711yescharacteristic, complemented
830#400C2×D4711yescharacteristic, complemented
831#399—471no—
832#399—471no—
833#398—471no—
834#398—471no—
835#398—471no—
836#398—471no—
837#398—471no—
838#398C2×D4711yescharacteristic, complemented
839#398C2×D4711yescharacteristic, complemented
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#397—471no—
849#397—471no—
850#397—471no—
851#397—471no—
852#397C2×D4711yescharacteristic
853#397C2×D4711yescharacteristic
854#396—471no—
855#396—471no—
856#396—471no—
857#395—471no—
858#394—471no—
859#394—471no—
860#394—471no—
861#394—471no—
862#394—471no—
863#394—471no—
864#394—471no—
865#394—471no—
866#394—471no—
867#394—471no—
868#393—471no—
869#391—471no—
870#390—471no—
871#390—471no—
872#390—471no—
873#390—471no—
874#389—471no—
875#389—471no—
876#389—471no—
877#388—471no—
878#388—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#388C2×D4711yescharacteristic
889#388C2×D4711yescharacteristic
890#387—471no—
891#387—471no—
892#387—471no—
893#387—471no—
894#387—471no—
895#387—471no—
896#387—471no—
897#387C2×D4711yescharacteristic, complemented
898#387C2×D4711yescharacteristic, complemented
899#387C2×D4711yescharacteristic, complemented
900#387C2×D4711yescharacteristic, complemented
901#386—471no—
902#386—471no—
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#386—471no—
918#385—471no—
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#385—471no—
930#385—471no—
931#385—471no—
932#385—471no—
933#385—471no—
934#385—471no—
935#385—471no—
936#385—471no—
937#385—471no—
938#385—471no—
939#385—471no—
940#385C2×D4711yescharacteristic
941#383—471no—
942#382—471no—
943#381—471no—
944#380—471no—
945#380—471no—
946#380—471no—
947#380—471no—
948#380—471no—
949#380C2×D4711yescharacteristic
950#380C2×D4711yescharacteristic
951#379—471no—
952#379—471no—
953C4×C22⋊C4—471no—
954C4×C22⋊C4—471no—
955C2×#95—471no—
956C2×#95—471no—
957C47#3675711yescharacteristic, complemented, Sylow
958C25—471no—
959C22×Q8—471no—
960C22×D4—471no—
961C22×D4—471no—
962C22×D4—471no—
963C22×D4—471no—
964C22×D4—471no—
965C22×D4—471no—
966C22×D4—471no—
967C23×C4—471no—
968C23×C4—471no—
969C23×C4—471no—
970C23×C4—471no—
971C23×C4—471no—
972C23×C4—471no—
973C23×C4—471no—
974C23×C4—471no—
975C23×C4—471no—
976C23×C4—471no—
977C23×C4—471no—
978C23×C4—1882no—
979C23×C4—1882no—
980C23×C4—1882no—
981C23×C4C22×D4711yescharacteristic
982#126—1882no—
983#125—1882no—
984#123—1882no—
985C22⋊Q8—1882no—
986C22⋊Q8—1882no—
987C22⋊Q8—1882no—
988C22⋊Q8—1882no—
989#121—1882no—
990#121—1882no—
991#121—1882no—
992#120—944no—
993#120—944no—
994C4×D4—1882no—
995C4×D4—1882no—
996C2×C4⋊C4—471no—
997C2×C4⋊C4—471no—
998C2×C4⋊C4—471no—
999C2×C4⋊C4—471no—
1000C2×C4⋊C4—471no—
1001C2×C4⋊C4—471no—
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—1882no—
1021C2×C4⋊C4—1882no—
1022C2×C4⋊C4C22×D4711yescharacteristic
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×C4⋊C4C22×D4711yescharacteristic
1031C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—944no—
1073C2×C22⋊C4—1882no—
1074C2×C22⋊C4C22×D4711yescharacteristic
1075C2×C22⋊C4C22×D4711yescharacteristic
1076C2×C22⋊C4C22×D4711yescharacteristic
1077C2×C22⋊C4C22×D4711yescharacteristic
1078C2×C22⋊C4C22×D4711yescharacteristic
1079C2×C22⋊C4C22×D4711yescharacteristic
1080C2×C42—471no—
1081C2×C42—471no—
1082C2×C42—471no—
1083C2×C42—471no—
1084C2×C42C22×D4711yescharacteristic
1085C2×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1119#95C22×D4711yescharacteristic
1120#95C22×D4711yescharacteristic
1121#95C22×D4711yescharacteristic
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
1134C24—471no—
1135C24—471no—
1136C24—474no—
1137C24—471no—
1138C24—471no—
1139C24—942no—
1140C24—942no—
1141C24—1881no—
1142C24—1881no—
1143C24—1881no—
1144C24—1881no—
1145C24C23×D4711yescharacteristic
1146C2×Q8—942no—
1147C2×Q8—1881no—
1148C2×Q8—1881no—
1149C2×D4—942no—
1150C2×D4—942no—
1151C2×D4—942no—
1152C2×D4—942no—
1153C2×D4—942no—
1154C2×D4—942no—
1155C2×D4—942no—
1156C2×D4—942no—
1157C2×D4—942no—
1158C2×D4—942no—
1159C2×D4—942no—
1160C2×D4—1881no—
1161C2×D4—1881no—
1162C2×D4—1881no—
1163C2×D4—1881no—
1164C2×D4—1881no—
1165C2×D4—1881no—
1166C2×D4—1881no—
1167C2×D4—1881no—
1168C2×D4—1881no—
1169C2×D4—1881no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—41no—
1173C22×C4—471no—
1174C22×C4—471no—
1175C22×C4—471no—
1176C22×C4—471no—
1177C22×C4—471no—
1178C22×C4—471no—
1179C22×C4—471no—
1180C22×C4—471no—
1181C22×C4—471no—
1182C22×C4—471no—
1183C22×C4—471no—
1184C22×C4—471no—
1185C22×C4—942no—
1186C22×C4—942no—
1187C22×C4—942no—
1188C22×C4—942no—
1189C22×C4—942no—
1190C22×C4—942no—
1191C22×C4—942no—
1192C22×C4—942no—
1193C22×C4—942no—
1194C22×C4—942no—
1195C22×C4—1881no—
1196C22×C4—1881no—
1197C22×C4—1881no—
1198C22×C4—1881no—
1199C22×C4—1881no—
1200C22×C4—1881no—
1201C22×C4—1881no—
1202C22×C4—1881no—
1203C22×C4—1881no—
1204C22×C4—1881no—
1205C22×C4—1881no—
1206C22×C4—1881no—
1207C22×C4—1881no—
1208C22×C4—1881no—
1209C22×C4—1881no—
1210C22×C4—1881no—
1211C22×C4—1881no—
1212C22×C4—1881no—
1213C22×C4—1881no—
1214C22×C4—1881no—
1215C22×C4—18816no—
1216C22×C4—1881no—
1217C22×C4—1881no—
1218C22×C4—1881no—
1219C22×C4C23×D4711yescharacteristic
1220C22×C4C23×D4711yescharacteristic
1221C22×C4C23×D4711yescharacteristic
1222C22×C4C23×D4711yescharacteristic
1223C22×C4C23×D4711yescharacteristic
1224C22×C4C23×D4711yescharacteristic
1225C22×C4C23×D4711yescharacteristic
1226C22×C4C23×D4711yescharacteristic
1227C22×C4C23×D4711yescharacteristic
1228C22×C4C23×D4711yescharacteristic
1229C22×C4C23×D4711yescharacteristic
1230C22×C4C23×D4711yescharacteristic
1231C22×C4C23×D4711yescharacteristic
1232C22×C4C23×D4711yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—942no—
1244C4⋊C4—942no—
1245C4⋊C4—942no—
1246C4⋊C4—942no—
1247C4⋊C4—1881no—
1248C4⋊C4—1881no—
1249C4⋊C4—1881no—
1250C4⋊C4—1881no—
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—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—942no—
1274C22⋊C4—942no—
1275C22⋊C4—942no—
1276C22⋊C4—942no—
1277C22⋊C4—942no—
1278C22⋊C4—942no—
1279C22⋊C4—942no—
1280C22⋊C4—942no—
1281C22⋊C4—942no—
1282C22⋊C4—942no—
1283C22⋊C4—942no—
1284C22⋊C4—942no—
1285C22⋊C4—942no—
1286C22⋊C4—1881no—
1287C22⋊C4—1881no—
1288C22⋊C4—1881no—
1289C22⋊C4—1881no—
1290C22⋊C4—1881no—
1291C22⋊C4—1881no—
1292C22⋊C4—1881no—
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—
1313C42—41no—
1314C42—41no—
1315C42—1881no—
1316C42—1881no—
1317C42—1881no—
1318C42—1881no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—472no—
1326C23—472no—
1327C23—472no—
1328C23—472no—
1329C23—948no—
1330C23—941no—
1331C23—941no—
1332C23—941no—
1333C23—941no—
1334C23—941no—
1335C23—941no—
1336C23—941no—
1337C23—941no—
1338C23—941no—
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—1884no—
1355C23—1884no—
1356C23—1884no—
1357C23—1884no—
1358C23—1884no—
1359C23—1884no—
1360C23#41×D4712yes—
1361C23C24×D4711yescharacteristic
1362Q8—3762no—
1363D4—3762no—
1364D4—3762no—
1365D4—3762no—
1366D4—3762no—
1367D4—3762no—
1368D4—1884no—
1369D4—1884no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
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—44no—
1411C2×C4—941no—
1412C2×C4—941no—
1413C2×C4—941no—
1414C2×C4—941no—
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—3762no—
1448C2×C4—3762no—
1449C2×C4—3762no—
1450C2×C4—3762no—
1451C2×C4—1884no—
1452C2×C4—1884no—
1453C2×C4—1884no—
1454C2×C4—1884no—
1455C2×C4—1884no—
1456C2×C4—1884no—
1457C2×C4—1884no—
1458C2×C4#1309407012yes—
1459C2×C4#1309407012yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—474no—
1468C22—942no—
1469C22—942no—
1470C22—942no—
1471C22—942no—
1472C22—942no—
1473C22—942no—
1474C22—942no—
1475C22—942no—
1476C22—942no—
1477C22—18816no—
1478C22—1881no—
1479C22—1881no—
1480C22—1881no—
1481C22—1881no—
1482C22—1881no—
1483C22—1881no—
1484C22—1881no—
1485C22—1881no—
1486C22—1881no—
1487C22—1881no—
1488C22—1881no—
1489C22—1881no—
1490C22—1881no—
1491C22—1881no—
1492C22—1881no—
1493C22—1881no—
1494C22—1881no—
1495C22—1881no—
1496C22C2×#41×D4711yescharacteristic
1497C22H(5,𝔽2)×D4711yescharacteristic
1498C22C2×#1309407011yescharacteristic
1499C22C2×#1309407011yescharacteristic
1500C222−1+4×D4711yescharacteristic
1501C22#1568995811yescharacteristic
1502C22#1568996011yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—1881no—
1518C4—1881no—
1519C4—1881no—
1520C4—1881no—
1521C4—1881no—
1522C4—1881no—
1523C4—1881no—
1524C4—1881no—
1525C4—1881no—
1526C4—1881no—
1527C4—1881no—
1528C4—1881no—
1529C2—42no—
1530C2—944no—
1531C2—3761no—
1532C2—3761no—
1533C2—1882no—
1534C2#539×D4711yescharacteristic
1535C2#2025721711yescharacteristic
1536C2#2025722811yescharacteristic
1537C2#2025754411yescharacteristic
1538C2#2025755011yescharacteristic
1539C2#2025767711yescharacteristic
1540C2#2025768711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2747C2
prime radical#20251671C2
hypercenter#2747D47
hypocenterC47#36757
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2747

Complements

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

NH ≅ G/Ntype
1. #20251676C2semidirect
3. #20251236C2semidirect
4. #20251117C2semidirect
5. #20251110C2semidirect
6. #20251065C2semidirect
7. #20250897C2semidirect
8. #20250720C2semidirect
9. #20250623C2semidirect
10. #20250579C2semidirect
11. #20250362C2semidirect
12. #20250305C2semidirect
13. #20250143C2semidirect
14. #20250113C2semidirect
15. #20249869C2semidirect
16. #20249854C2semidirect
17. #20249741C2semidirect
18. #20249162C2semidirect
19. #20249162C2semidirect
20. #20247945C2semidirect
21. #20247886C2semidirect
22. #20247652C2semidirect
23. #20247530C2semidirect
24. #20247213C2semidirect
25. #20247202C2semidirect
26. #20247139C2semidirect
27. #20247128C2semidirect
28. #20246050C2semidirect
29. #20246041C2semidirect
30. #385×D47C2semidirect
31. C47×#2747C2semidirect
33. C2×#13094019C22semidirect
34. C2×#13094014C22semidirect
35. C2×#13094009C22semidirect
39. C2×#13094002C22semidirect
51. C47⋊#401C22semidirect
52. #15689065C22semidirect
53. #15689065C22semidirect
54. #15689065C22semidirect
55. #15689064C22semidirect
56. #15689064C22semidirect
57. #15689062C22semidirect
58. #15689061C22semidirect
59. #15689060C22semidirect
60. #15689060C22semidirect
61. #15689057C22semidirect
62. #15689056C22semidirect
63. #15689055C22semidirect
64. #15689055C22semidirect
65. #15689053C22semidirect
68. #15689052C22semidirect
73. #15689050C22semidirect
74. #15689050C22semidirect
75. #15689049C22semidirect
76. #15689049C22semidirect
77. #15689049C22semidirect
78. #15689045C22semidirect
79. #15689045C22semidirect
80. #15689045C22semidirect
81. #15689044C22semidirect
84. #15689041C22semidirect
85. #15689041C22semidirect
92. #15689036C22semidirect
93. #15689027C22semidirect
98. #15689022C22semidirect
99. #15689021C22semidirect
100. #15689020C22semidirect
104. #15689015C22semidirect
105. #15689015C22semidirect
106. #15689015C22semidirect
108. #15689014C22semidirect
109. #15689014C22semidirect
112. #15689010C22semidirect
113. #15689010C22semidirect
114. #15689010C22semidirect
115. #15689010C22semidirect
116. #15689009C22semidirect
117. #15689009C22semidirect
118. #15689004C22semidirect
131. #15689001C22semidirect
148. #15688997C22semidirect
149. #15688997C22semidirect
157. #15688994C22semidirect
158. #15688990C22semidirect
159. #15688989C22semidirect
160. #15688985C22semidirect
165. #15688980C22semidirect
172. C47×#400C22semidirect
173. C47×#400C22semidirect
174. C47×#398C22semidirect
175. C47×#398C22semidirect
180. C47×#387C22semidirect
181. C47×#387C22semidirect
182. C47×#387C22semidirect
183. C47×#387C22semidirect
768. #2747D47semidirect
829. #400C2×D47semidirect
830. #400C2×D47semidirect
838. #398C2×D47semidirect
839. #398C2×D47semidirect
897. #387C2×D47semidirect
898. #387C2×D47semidirect
899. #387C2×D47semidirect
900. #387C2×D47semidirect
957. C47#36757semidirect

Maximal subgroups

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

subgroupindex
#202516762
#202516712
#202512362
#202511172
#202511102
#202510652
#202508972
#202507202
#202506232
#202505792
#202503622
#202503052
#202501432
#202501132
#202498692
#202498542
#202497412
#202491622
#202479452
#202478862
#202476522
#202475302
#202472132
#202472022
#202471392
#202471282
#202460502
#202460412
#385×D472
C47×#27472
#3675747