Finite Group Databasebeta

← #26389656

Subgroups — #26389656

Order 12032.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251781C211yesmaximal, characteristic, complemented
2#20251778C211yesmaximal, characteristic, complemented
3#20251712C211yesmaximal, characteristic, complemented
4#20251706C211yesmaximal, characteristic, complemented
5#20249487C211yesmaximal, characteristic, complemented
6#20249442C211yesmaximal, characteristic, complemented
7#20249427C211yesmaximal, characteristic, complemented
8#20249382C211yesmaximal, characteristic, complemented
9#20248868C211yesmaximal, characteristic, complemented
10#20248735C211yesmaximal, characteristic, complemented
11#20248724C211yesmaximal, characteristic, complemented
12#20248709C211yesmaximal, characteristic, complemented
13#20248694C211yesmaximal, characteristic, complemented
14#20248679C211yesmaximal, characteristic, complemented
15#20248612C211yesmaximal, characteristic, complemented
16#20248348C211yesmaximal, characteristic
17#20248132C211yesmaximal, characteristic, complemented
18#20248009C211yesmaximal, characteristic, complemented
19#20247948C211yesmaximal, characteristic, complemented
20#20247643C211yesmaximal, characteristic, complemented
21#20247456C211yesmaximal, characteristic, complemented
22#20247297C211yesmaximal, characteristic, complemented
23#20247138C211yesmaximal, characteristic, complemented
24#20247123C211yesmaximal, characteristic, complemented
25#20246091C211yesmaximal, characteristic, complemented
26#20246091C211yesmaximal, characteristic, complemented
27#20246022C211yesmaximal, characteristic, complemented
28#20246022C211yesmaximal, characteristic, complemented
29C4×#13093998C211yesmaximal, characteristic, complemented
30C42×C22⋊D47C211yesmaximal, characteristic, complemented
31C2×C47×#387C211yesmaximal, characteristic, complemented
32C2×#13094019C2211yescharacteristic
33C2×#13094009C2211yescharacteristic
34C2×#13093998C2211yescharacteristic
35C2×#13093998C2211yescharacteristic
36C2×#13093998C2211yescharacteristic
37C2×C4×D188C2211yescharacteristic
38C2×C4×C22⋊D47C2211yescharacteristic
39C2×C4×C22⋊D47C2211yescharacteristic
40C2×C4×C22⋊D47C2211yescharacteristic
41C2×C4×C22⋊D47C2211yescharacteristic
42C2×C4×C22⋊D47C2211yescharacteristic
43C2×C42×D47C2211yescharacteristic
44C47⋊#401C2211yescharacteristic
45#15689065C2211yescharacteristic
46#15689065C2211yescharacteristic
47#15689065C2211yescharacteristic
48#15689065C2211yescharacteristic
49#15689062C2211yescharacteristic
50#15689062C2211yescharacteristic
51#15689062C2211yescharacteristic
52#15689061C2211yescharacteristic
53#15689058C2211yescharacteristic
54#15689056C2211yescharacteristic
55#15689056C2211yescharacteristic
56#15689056C2211yescharacteristic
57#15689055C2211yescharacteristic
58#15689055C2211yescharacteristic
59#15689055C2211yescharacteristic
60#15689052C2211yescharacteristic
61#15689052C2211yescharacteristic
62#15689052C2211yescharacteristic
63#15689050C2211yescharacteristic
64#15689050C2211yescharacteristic
65#15689049C2211yescharacteristic
66#15689049C2211yescharacteristic
67#15689045C2211yescharacteristic
68#15689045C2211yescharacteristic
69#15689045C2211yescharacteristic
70#15689041C2211yescharacteristic
71#15689041C2211yescharacteristic
72#15689040C2211yescharacteristic
73#15689040C2211yescharacteristic
74#15689040C2211yescharacteristic
75#15689033C2211yescharacteristic
76#15689025C2211yescharacteristic
77#15689021C2211yescharacteristic
78#15689015C2211yescharacteristic
79#15689015C2211yescharacteristic
80#15689015C2211yescharacteristic
81#15689015C2211yescharacteristic
82#15689015C2211yescharacteristic
83#15689015C2211yescharacteristic
84#15689015C2211yescharacteristic
85#15689014C2211yescharacteristic
86#15689014C2211yescharacteristic
87#15689013C2211yescharacteristic
88#15689013C2211yescharacteristic
89#15689013C2211yescharacteristic
90#15689013C2211yescharacteristic
91#15689013C2211yescharacteristic
92#15689013C2211yescharacteristic
93#15689012C2211yescharacteristic
94#15689012C2211yescharacteristic
95#15689012C2211yescharacteristic
96#15689012C2211yescharacteristic
97#15689012C2211yescharacteristic
98#15689012C2211yescharacteristic
99#15689010C2211yescharacteristic
100#15689010C2211yescharacteristic
101#15689010C2211yescharacteristic
102#15689009C2211yescharacteristic
103#15689009C2211yescharacteristic
104#15689008C2211yescharacteristic
105#15689008C2211yescharacteristic
106#15689008C2211yescharacteristic
107#15689008C2211yescharacteristic
108#15689006C2211yescharacteristic
109#15689006C2211yescharacteristic
110#15689006C2211yescharacteristic
111#15689005C2211yescharacteristic
112#15689005C2211yescharacteristic
113#15689005C2211yescharacteristic
114#15689005C2211yescharacteristic
115#15689004C2211yescharacteristic
116#15689004C2211yescharacteristic
117#15689004C2211yescharacteristic
118#15689002C2211yescharacteristic
119#15689002C2211yescharacteristic
120#15689002C2211yescharacteristic
121#15689002C2211yescharacteristic
122#15689002C2211yescharacteristic
123#15689002C2211yescharacteristic
124#15689002C2211yescharacteristic
125#15689002C2211yescharacteristic
126#15689002C2211yescharacteristic
127#15689002C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15688997C2211yescharacteristic
136#15688997C2211yescharacteristic
137#15688997C2211yescharacteristic
138#15688997C2211yescharacteristic
139#15688996C2211yescharacteristic
140#15688996C2211yescharacteristic
141#15688996C2211yescharacteristic
142#15688996C2211yescharacteristic
143#15688994C2211yescharacteristic
144#15688994C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688990C2211yescharacteristic
147#15688990C2211yescharacteristic
148#15688990C2211yescharacteristic
149#15688987C2211yescharacteristic
150#15688987C2211yescharacteristic
151#15688985C2211yescharacteristic
152#15688985C2211yescharacteristic
153#15688985C2211yescharacteristic
154#15688983C2211yescharacteristic
155#15688983C2211yescharacteristic
156#15688983C2211yescharacteristic
157#15688982C2211yescharacteristic
158#15688982C2211yescharacteristic
159C4×Dic47⋊C4C2211yescharacteristic
160C4×Dic47⋊C4C2211yescharacteristic
161C4×Dic47⋊C4C2211yescharacteristic
162C4×C4⋊Dic47C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic
165C4×(C2×D47)⋊C4C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic
168C4×C22⋊Dic47C2211yescharacteristic
169C4×C22⋊Dic47C2211yescharacteristic
170C4×C22⋊Dic47C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C22×C4⋊C4×C47C2211yescharacteristic
173C22×C4⋊C4×C47C2211yescharacteristic
174C22×C42×C47C2211yescharacteristic
175C47×#387C2211yescharacteristic
176C47×#387C2211yescharacteristic
177C47×#387C2211yescharacteristic
178C47×#387C2211yescharacteristic
179C47×#387C2211yescharacteristic
180C47×#387C2211yescharacteristic
181C47×#387C2211yescharacteristic
182C47×#387C2211yescharacteristic
183C2×#95×C47C2211yescharacteristic
184C2×#95×C47C2211yescharacteristic
185C2×#95×C47C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C22×D188C2311yescharacteristic
188C22×D188C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C4×D47C2311yescharacteristic
194C22×C4×D47C2311yescharacteristic
195C22×C4×D47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198#13094019—42no—
199#13094009—42no—
200#13093998—24no—
201#13093998—24no—
202#13093998—24no—
203C4×D188—42no—
204C4×C22⋊D47—24no—
205C4×C22⋊D47—24no—
206C4×C22⋊D47—24no—
207C4×C22⋊D47—24no—
208C4×C22⋊D47—24no—
209C2×C4⋊Dic47C2311yescharacteristic
210C2×C4⋊Dic47C2311yescharacteristic
211C2×C4⋊Dic47C2311yescharacteristic
212C2×C4⋊Dic47C2311yescharacteristic
213C2×C4⋊Dic47C2311yescharacteristic
214C2×C4⋊Dic47C2311yescharacteristic
215C2×C4⋊Dic47C2311yescharacteristic
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×Dic47⋊C4C2311yescharacteristic
219C2×Dic47⋊C4C2311yescharacteristic
220C2×Dic47⋊C4C2311yescharacteristic
221C2×Dic47⋊C4C2311yescharacteristic
222C2×Dic47⋊C4C2311yescharacteristic
223C2×Dic47⋊C4C2311yescharacteristic
224C2×Dic47⋊C4C2311yescharacteristic
225C2×Dic47⋊C4C2311yescharacteristic
226C2×Dic47⋊C4C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×C22⋊Dic47C2311yescharacteristic
232C2×C22⋊Dic47C2311yescharacteristic
233C2×C22⋊Dic47C2311yescharacteristic
234C2×C22⋊Dic47C2311yescharacteristic
235C2×C22⋊Dic47C2311yescharacteristic
236C2×(C2×D47)⋊C4C2311yescharacteristic
237C2×(C2×D47)⋊C4C2311yescharacteristic
238C2×(C2×D47)⋊C4C2311yescharacteristic
239C2×(C2×D47)⋊C4C2311yescharacteristic
240C2×(C2×D47)⋊C4C2311yescharacteristic
241C2×(C2×D47)⋊C4C2311yescharacteristic
242C2×(C2×D47)⋊C4C2311yescharacteristic
243C2×(C2×D47)⋊C4C2311yescharacteristic
244C2×(C2×D47)⋊C4C2311yescharacteristic
245C2×(C2×D47)⋊C4C2311yescharacteristic
246C2×(C2×D47)⋊C4C2311yescharacteristic
247C2×(C2×D47)⋊C4C2311yescharacteristic
248C2×(C2×D47)⋊C4C2311yescharacteristic
249C2×(C2×D47)⋊C4C2311yescharacteristic
250C2×(C2×D47)⋊C4C2311yescharacteristic
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×C4×Dic47C2311yescharacteristic
268C2×C4×Dic47C2311yescharacteristic
269C2×C4×Dic47C2311yescharacteristic
270C2×C4×Dic47C2311yescharacteristic
271C2×C4×Dic47C2311yescharacteristic
272C2×C4×Dic47C2311yescharacteristic
273C2×C4×Dic47C2311yescharacteristic
274C2×C4×Dic47C2311yescharacteristic
275C2×C4×Dic47C2311yescharacteristic
276C2×C4×Dic47C2311yescharacteristic
277C2×C4×Dic47C2311yescharacteristic
278C42×D47—42no—
279C47⋊#95C2311yescharacteristic
280C47⋊#95C2311yescharacteristic
281C47⋊#95C2311yescharacteristic
282C47⋊#95C2311yescharacteristic
283C47⋊#95C2311yescharacteristic
284C47⋊#95C2311yescharacteristic
285C47⋊#95C2311yescharacteristic
286C47⋊#95C2311yescharacteristic
287C47⋊#95C2311yescharacteristic
288C47⋊#95C2311yescharacteristic
289C47⋊#95C2311yescharacteristic
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
319C23×C4×C47C2311yescharacteristic
320C23×C4×C47C2311yescharacteristic
321C23×C4×C47C2311yescharacteristic
322C23×C4×C47C2311yescharacteristic
323C23×C4×C47C2311yescharacteristic
324C23×C4×C47C2311yescharacteristic
325C23×C4×C47C2311yescharacteristic
326C2×C4⋊C4×C47—24no—
327C2×C4⋊C4×C47—42no—
328C2×C4⋊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×C42×C47—42no—
337C2×C42×C47C2311yescharacteristic
338C2×C42×C47C2311yescharacteristic
339C2×C42×C47C2311yescharacteristic
340C2×C42×C47C2311yescharacteristic
341#95×C47C2311yescharacteristic
342#95×C47C2311yescharacteristic
343#95×C47C2311yescharacteristic
344#95×C47C2311yescharacteristic
345#95×C47C2311yescharacteristic
346#95×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
357C24×C47C2411yescharacteristic
358C23×D47C2411yescharacteristic
359C23×D47C2411yescharacteristic
360C23×D47C2411yescharacteristic
361C22×C4×C47—22no—
362C22×C4×C47—22no—
363C22×C4×C47—22no—
364C22×C4×C47—22no—
365C22×C4×C47—22no—
366C22×C4×C47—22no—
367C22×C4×C47—41no—
368C22×C4×C47—41no—
369C22×C4×C47—41no—
370C22×C4×C47—41no—
371C22×C4×C47—41no—
372C22×C4×C47—41no—
373C22×C4×C47—41no—
374C22×C4×C47—41no—
375C22×C4×C47—41no—
376C22×C4×C47—41no—
377C22×C4×C47—41no—
378C22×C4×C47—41no—
379C22×C4×C47—41no—
380C22×C4×C47#4114yes—
381C22×C4×C47#4114yes—
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
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C2×C22⋊D47—22no—
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—22no—
404C2×C22⋊D47#4114yes—
405C22×Dic47C2411yescharacteristic
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C2×D188—22no—
419C2×D188—22no—
420C2×D188—22no—
421C2×D188—41no—
422C2×D188—41no—
423C2×D188—41no—
424C2×D188—41no—
425C2×D188—41no—
426C2×D188—41no—
427C2×C4×D47—22no—
428C2×C4×D47—22no—
429C2×C4×D47—22no—
430C2×C4×D47—22no—
431C2×C4×D47—22no—
432C2×C4×D47—22no—
433C2×C4×D47—41no—
434C2×C4×D47—41no—
435C2×C4×D47—41no—
436C2×C4×D47—41no—
437C2×C4×D47—41no—
438C2×C4×D47—41no—
439C2×C4×D47—41no—
440C2×C4×D47—41no—
441C2×C4×D47—41no—
442C4⋊C4×C47—22no—
443C4⋊C4×C47—22no—
444C4⋊C4×C47—22no—
445C4⋊C4×C47—22no—
446C4⋊C4×C47—22no—
447C4⋊C4×C47—22no—
448C4⋊C4×C47—41no—
449C4⋊C4×C47—41no—
450C42×C47—22no—
451C42×C47—22no—
452C42×C47—41no—
453C42×C47—41no—
454C22⋊Dic47—22no—
455C22⋊Dic47—22no—
456C22⋊Dic47—22no—
457C22⋊Dic47—22no—
458C22⋊Dic47—22no—
459(C2×D47)⋊C4—22no—
460(C2×D47)⋊C4—22no—
461(C2×D47)⋊C4—22no—
462(C2×D47)⋊C4—22no—
463(C2×D47)⋊C4—22no—
464(C2×D47)⋊C4—22no—
465(C2×D47)⋊C4—22no—
466(C2×D47)⋊C4—22no—
467(C2×D47)⋊C4—22no—
468(C2×D47)⋊C4—22no—
469(C2×D47)⋊C4—22no—
470(C2×D47)⋊C4—22no—
471(C2×D47)⋊C4—22no—
472(C2×D47)⋊C4—41no—
473(C2×D47)⋊C4—41no—
474(C2×D47)⋊C4—41no—
475(C2×D47)⋊C4—41no—
476(C2×D47)⋊C4—41no—
477(C2×D47)⋊C4—41no—
478(C2×D47)⋊C4—41no—
479(C2×D47)⋊C4—41no—
480(C2×D47)⋊C4—41no—
481(C2×D47)⋊C4—41no—
482(C2×D47)⋊C4—41no—
483(C2×D47)⋊C4—41no—
484(C2×D47)⋊C4—41no—
485(C2×D47)⋊C4—41no—
486(C2×D47)⋊C4—41no—
487(C2×D47)⋊C4—41no—
488(C2×D47)⋊C4—41no—
489(C2×D47)⋊C4—41no—
490C4⋊Dic47—22no—
491C4⋊Dic47—22no—
492C4⋊Dic47—22no—
493C4⋊Dic47—41no—
494C4⋊Dic47—41no—
495C4⋊Dic47—41no—
496C4⋊Dic47—41no—
497C4⋊Dic47—41no—
498C4⋊Dic47—41no—
499Dic47⋊C4—22no—
500Dic47⋊C4—22no—
501Dic47⋊C4—22no—
502Dic47⋊C4—22no—
503Dic47⋊C4—22no—
504Dic47⋊C4—41no—
505Dic47⋊C4—41no—
506Dic47⋊C4—41no—
507Dic47⋊C4—41no—
508Dic47⋊C4—41no—
509Dic47⋊C4—41no—
510Dic47⋊C4—41no—
511Dic47⋊C4—41no—
512C4×Dic47—22no—
513C4×Dic47—22no—
514C4×Dic47—22no—
515C4×Dic47—22no—
516C4×Dic47—22no—
517C4×Dic47—22no—
518C4×Dic47—41no—
519C4×Dic47—41no—
520C4×Dic47—41no—
521C4×Dic47—41no—
522C4×Dic47—41no—
523C23×C47—21no—
524C23×C47—21no—
525C23×C47—21no—
526C23×C47—21no—
527C23×C47C2×#4112yes—
528C23×C47C2×#4112yes—
529C23×C47C2×#4112yes—
530C23×C47C2511yescharacteristic
531C22×D47—21no—
532C22×D47—21no—
533C22×D47—21no—
534C22×D47—21no—
535C22×D47—21no—
536C22×D47—21no—
537C22×D47—21no—
538C22×D47—21no—
539C22×D47—21no—
540C22×D47—21no—
541C22×D47—21no—
542C22×D47—21no—
543C22×D47—21no—
544C22×D47—21no—
545C22×D47—21no—
546C22×D47—21no—
547C22×D47—21no—
548C22×D47—21no—
549C22×D47—21no—
550C22×D47—21no—
551C22×D47C2×#4112yes—
552C2×C4×C47—21no—
553C2×C4×C47—21no—
554C2×C4×C47—21no—
555C2×C4×C47—21no—
556C2×C4×C47—21no—
557C2×C4×C47—21no—
558C2×C4×C47—21no—
559C2×C4×C47—21no—
560C2×C4×C47—21no—
561C2×C4×C47—21no—
562C2×C4×C47—21no—
563C2×C4×C47—21no—
564C2×C4×C47—21no—
565C2×C4×C47—21no—
566C2×C4×C47—21no—
567C2×C4×C47—21no—
568C2×C4×C47—21no—
569C2×C4×C47—21no—
570C2×C4×C47—21no—
571C2×C4×C47—21no—
572C2×C4×C47—21no—
573C2×C4×C47—21no—
574C2×C4×C47—21no—
575C2×C4×C47—21no—
576C2×C4×C47—21no—
577C2×C4×C47—21no—
578C2×C4×C47—21no—
579C2×C4×C47—21no—
580C2×C4×C47—21no—
581C2×C4×C47—21no—
582C2×C4×C47—21no—
583C2×C4×C47—21no—
584C2×C4×C47—21no—
585C2×C4×C47—21no—
586C2×C4×C47—21no—
587C2×C4×C47—21no—
588C2×C4×C47—21no—
589C2×C4×C47—44no—
590C2×C4×C47—44no—
591C2×C4×C47—44no—
592C2×C4×C47—44no—
593C2×C4×C47—44no—
594C2×C4×C47—82no—
595C2×C4×C47—82no—
596C2×C4×C47C2×#4112yes—
597C2×C4×C47C2×#4112yes—
598C2×C4×C47C2×#4112yes—
599C2×C4×C47C2×#4112yes—
600C2×C4×C47H(5,𝔽2)12yes—
601C22⋊D47—28no—
602C22⋊D47—44no—
603C22⋊D47—44no—
604C2×Dic47—21no—
605C2×Dic47—21no—
606C2×Dic47—21no—
607C2×Dic47—21no—
608C2×Dic47—21no—
609C2×Dic47—21no—
610C2×Dic47—21no—
611C2×Dic47—21no—
612C2×Dic47—21no—
613C2×Dic47—21no—
614C2×Dic47—21no—
615C2×Dic47—21no—
616C2×Dic47—21no—
617C2×Dic47—21no—
618C2×Dic47—21no—
619C2×Dic47—21no—
620C2×Dic47—21no—
621C2×Dic47—21no—
622C2×Dic47—21no—
623C2×Dic47—21no—
624C2×Dic47—21no—
625C2×Dic47—21no—
626C2×Dic47—21no—
627C2×Dic47—21no—
628C2×Dic47—21no—
629C2×Dic47—21no—
630C2×Dic47—21no—
631C2×Dic47—21no—
632C2×Dic47—21no—
633C2×Dic47—21no—
634C2×Dic47—21no—
635C2×Dic47—21no—
636C2×Dic47—21no—
637C2×Dic47—21no—
638C2×Dic47—21no—
639C2×Dic47—21no—
640C2×Dic47—21no—
641C2×Dic47—21no—
642C2×Dic47C2×#4112yes—
643D188—44no—
644D188—82no—
645D188—82no—
646C4×D47—44no—
647C4×D47—44no—
648C4×D47—44no—
649C4×D47—82no—
650C4×D47—82no—
651#35028—471nomaximal, Sylow
652C22×C47—22no—
653C22×C47—22no—
654C22×C47—22no—
655C22×C47—22no—
656C22×C47—22no—
657C22×C47—22no—
658C22×C47#52914yes—
659C22×C47C22×#4111yescharacteristic
660C22×C47C22×#4111yescharacteristic
661C22×C47C22×#4111yescharacteristic
662C22×C47C2×H(5,𝔽2)11yescharacteristic
663C22×C47#58511yescharacteristic
664C22×C47#58511yescharacteristic
665C22×C47#58511yescharacteristic
666C2×D47—22no—
667C2×D47—22no—
668C2×D47—22no—
669C2×D47—41no—
670C2×D47—41no—
671C2×D47—41no—
672C2×D47—41no—
673C2×D47—41no—
674C2×D47—41no—
675C2×D47—41no—
676C2×D47—41no—
677C2×D47—41no—
678C2×D47—41no—
679C2×D47—41no—
680C2×D47—41no—
681C2×D47—41no—
682C2×D47—41no—
683C2×D47—41no—
684C2×D47—41no—
685C2×D47—41no—
686C2×D47—41no—
687C4×C47—22no—
688C4×C47—22no—
689C4×C47—22no—
690C4×C47—22no—
691C4×C47—22no—
692C4×C47—41no—
693C4×C47—41no—
694C4×C47—41no—
695C4×C47—41no—
696C4×C47—41no—
697C4×C47—41no—
698C4×C47—41no—
699C4×C47—41no—
700C4×C47—41no—
701Dic47—22no—
702Dic47—41no—
703Dic47—41no—
704Dic47—41no—
705Dic47—41no—
706Dic47—41no—
707Dic47—41no—
708Dic47—41no—
709Dic47—41no—
710Dic47—41no—
711Dic47—41no—
712Dic47—41no—
713Dic47—41no—
714#2866—471no—
715#2865—471no—
716#2853—471no—
717#2852—471no—
718#2655—471no—
719#2652—471no—
720#2651—471no—
721#2648—471no—
722#2591—471no—
723#2579—471no—
724#2578—471no—
725#2577—471no—
726#2576—471no—
727#2575—471no—
728#2569—471no—
729#2543—471no—
730#2524—471no—
731#2515—471no—
732#2510—471no—
733#2481—471no—
734#2468—471no—
735#2457—471no—
736#2444—471no—
737#2443—471no—
738#2325—471no—
739#2325—471no—
740#2318—471no—
741#2318—471no—
742C4×#121—471no—
743C2×#387D4711yescharacteristic, complemented
744C42×D4—471no—
745C2×C47—24no—
746C2×C47C2×#52911yescharacteristic
747C2×C47#345511yescharacteristic
748C2×C47#345911yescharacteristic
749C2×C47#350511yescharacteristic
750C2×C47#351211yescharacteristic
751C2×C47#351311yescharacteristic
752C2×C47#352111yescharacteristic
753D47—42no—
754D47—81no—
755D47—81no—
756C2×#126—471no—
757C2×#123—471no—
758C2×#121—471no—
759C2×#121—471no—
760C2×#121—471no—
761C2×C4×D4—471no—
762C2×C4×D4—471no—
763C2×C4×D4—471no—
764C2×C4×D4—471no—
765C2×C4×D4—471no—
766C2×C4×D4—471no—
767C22×C4⋊C4C2×D4711yescharacteristic
768C22×C4⋊C4C2×D4711yescharacteristic
769C22×C42—471no—
770C22×C42C2×D4711yescharacteristic
771#401—471no—
772#400—471no—
773#400—471no—
774#400—471no—
775#400—471no—
776#400—471no—
777#400—471no—
778#400—471no—
779#400—471no—
780#399—471no—
781#398—471no—
782#398—471no—
783#398—471no—
784#398—471no—
785#398—471no—
786#398—471no—
787#397—471no—
788#397—471no—
789#397—471no—
790#397—471no—
791#397—471no—
792#397—471no—
793#397—471no—
794#396—471no—
795#396—471no—
796#396—471no—
797#394—471no—
798#394—471no—
799#394—471no—
800#394—471no—
801#394—471no—
802#392—471no—
803#390—471no—
804#389—471no—
805#388—471no—
806#388—471no—
807#388—471no—
808#388—471no—
809#388—471no—
810#388—471no—
811#388—471no—
812#388—471no—
813#388—471no—
814#388—471no—
815#388—471no—
816#388—471no—
817#388—471no—
818#388—471no—
819#388—471no—
820#388—471no—
821#388—471no—
822#388—471no—
823#388—471no—
824#388—471no—
825#388—471no—
826#387—471no—
827#387—471no—
828#387—471no—
829#387—471no—
830#387—471no—
831#387—471no—
832#387—471no—
833#387—471no—
834#387—471no—
835#387—471no—
836#387—471no—
837#387—471no—
838#387—471no—
839#387—471no—
840#387—471no—
841#387—471no—
842#387—471no—
843#387—471no—
844#387—471no—
845#387C2×D4711yescharacteristic
846#387C2×D4711yescharacteristic
847#387C2×D4711yescharacteristic
848#387C2×D4711yescharacteristic
849#387C2×D4711yescharacteristic
850#387C2×D4711yescharacteristic
851#387C2×D4711yescharacteristic
852#387C2×D4711yescharacteristic
853#386—471no—
854#386—471no—
855#386—471no—
856#386—471no—
857#386—471no—
858#386—471no—
859#386—471no—
860#386—471no—
861#386—471no—
862#386—471no—
863#386—471no—
864#386—471no—
865#386—471no—
866#386—471no—
867#386—471no—
868#386—471no—
869#386—471no—
870#385—471no—
871#385—471no—
872#385—471no—
873#385—471no—
874#385—471no—
875#385—471no—
876#385—471no—
877#385—471no—
878#385—471no—
879#385—471no—
880#385—471no—
881#383—471no—
882#383—471no—
883#383—471no—
884#382—471no—
885#382—471no—
886#381—471no—
887#381—471no—
888#381—471no—
889#380—471no—
890#380—471no—
891#380—471no—
892#380—471no—
893#380—471no—
894C4×C4⋊C4—471no—
895C4×C4⋊C4—471no—
896C4×C4⋊C4—471no—
897C4×C4⋊C4—471no—
898C4×C22⋊C4—471no—
899C4×C22⋊C4—471no—
900C4×C22⋊C4—471no—
901C4×C22⋊C4—471no—
902C4×C22⋊C4—471no—
903C4×C22⋊C4—471no—
904C4×C22⋊C4—471no—
905C4×C22⋊C4—471no—
906C2×#95C2×D4711yescharacteristic
907C2×#95C2×D4711yescharacteristic
908C2×#95C2×D4711yescharacteristic
909C2×#95C2×D4711yescharacteristic
910C43—471no—
911C47#3502811yescharacteristic, complemented, Sylow
912C22×D4—471no—
913C22×D4—471no—
914C22×D4—471no—
915C22×D4—471no—
916C22×D4—471no—
917C22×D4—471no—
918C23×C4—471no—
919C23×C4—471no—
920C23×C4—471no—
921C23×C4—471no—
922C23×C4—471no—
923C23×C4C22×D4711yescharacteristic
924C23×C4C22×D4711yescharacteristic
925C23×C4C22×D4711yescharacteristic
926C23×C4C22×D4711yescharacteristic
927C23×C4C22×D4711yescharacteristic
928C23×C4C22×D4711yescharacteristic
929C23×C4C22×D4711yescharacteristic
930#126—1882no—
931#123—1882no—
932#121—944no—
933#121—944no—
934#121—944no—
935C4×D4—944no—
936C4×D4—944no—
937C4×D4—944no—
938C4×D4—944no—
939C4×D4—944no—
940C4×D4—1882no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—42no—
943C2×C4⋊C4—471no—
944C2×C4⋊C4—471no—
945C2×C4⋊C4—471no—
946C2×C4⋊C4—471no—
947C2×C4⋊C4—471no—
948C2×C4⋊C4—471no—
949C2×C4⋊C4—471no—
950C2×C4⋊C4—471no—
951C2×C4⋊C4—471no—
952C2×C4⋊C4—471no—
953C2×C4⋊C4—471no—
954C2×C4⋊C4—471no—
955C2×C4⋊C4—471no—
956C2×C4⋊C4—471no—
957C2×C4⋊C4—471no—
958C2×C4⋊C4—471no—
959C2×C4⋊C4—471no—
960C2×C4⋊C4—471no—
961C2×C4⋊C4—471no—
962C2×C4⋊C4—471no—
963C2×C4⋊C4—471no—
964C2×C4⋊C4—471no—
965C2×C4⋊C4C22×D4711yescharacteristic
966C2×C4⋊C4C22×D4711yescharacteristic
967C2×C4⋊C4C22×D4711yescharacteristic
968C2×C4⋊C4C22×D4711yescharacteristic
969C2×C4⋊C4C22×D4711yescharacteristic
970C2×C4⋊C4C22×D4711yescharacteristic
971C2×C4⋊C4C22×D4711yescharacteristic
972C2×C4⋊C4C22×D4711yescharacteristic
973C2×C22⋊C4—471no—
974C2×C22⋊C4—471no—
975C2×C22⋊C4—471no—
976C2×C22⋊C4—471no—
977C2×C22⋊C4—471no—
978C2×C22⋊C4—471no—
979C2×C22⋊C4—471no—
980C2×C22⋊C4—471no—
981C2×C22⋊C4—471no—
982C2×C22⋊C4—471no—
983C2×C22⋊C4—471no—
984C2×C22⋊C4—471no—
985C2×C22⋊C4—471no—
986C2×C22⋊C4—471no—
987C2×C22⋊C4—471no—
988C2×C22⋊C4—471no—
989C2×C22⋊C4—471no—
990C2×C22⋊C4—471no—
991C2×C22⋊C4—471no—
992C2×C22⋊C4—471no—
993C2×C22⋊C4—471no—
994C2×C22⋊C4—471no—
995C2×C22⋊C4—471no—
996C2×C22⋊C4—471no—
997C2×C22⋊C4—471no—
998C2×C22⋊C4—471no—
999C2×C22⋊C4—471no—
1000C2×C22⋊C4—471no—
1001C2×C22⋊C4—471no—
1002C2×C22⋊C4—471no—
1003C2×C22⋊C4—471no—
1004C2×C22⋊C4—471no—
1005C2×C22⋊C4—471no—
1006C2×C22⋊C4—471no—
1007C2×C22⋊C4—471no—
1008C2×C22⋊C4—471no—
1009C2×C42—42no—
1010C2×C42—471no—
1011C2×C42—471no—
1012C2×C42—471no—
1013C2×C42—471no—
1014C2×C42—471no—
1015C2×C42—471no—
1016C2×C42—471no—
1017C2×C42—471no—
1018C2×C42—471no—
1019C2×C42—471no—
1020C2×C42—471no—
1021C2×C42—1882no—
1022C2×C42C22×D4711yescharacteristic
1023C2×C42C22×D4711yescharacteristic
1024C2×C42C22×D4711yescharacteristic
1025C2×C42C22×D4711yescharacteristic
1026#95—471no—
1027#95—471no—
1028#95—471no—
1029#95—471no—
1030#95—471no—
1031#95—471no—
1032#95—471no—
1033#95—471no—
1034#95—471no—
1035#95—471no—
1036#95—471no—
1037#95—471no—
1038#95—471no—
1039#95—471no—
1040#95—471no—
1041#95—471no—
1042#95—471no—
1043#95—471no—
1044#95—471no—
1045#95—471no—
1046#95—471no—
1047#95—471no—
1048#95—471no—
1049#95—471no—
1050#95—471no—
1051#95—471no—
1052#95—471no—
1053#95—471no—
1054#95—471no—
1055#95—471no—
1056#95—471no—
1057#95—471no—
1058#95—471no—
1059#95—471no—
1060#95—471no—
1061#95—471no—
1062#95—471no—
1063#95—471no—
1064#95—471no—
1065#95—471no—
1066#95C22×D4711yescharacteristic
1067#95C22×D4711yescharacteristic
1068#95C22×D4711yescharacteristic
1069#95C22×D4711yescharacteristic
1070#95C22×D4711yescharacteristic
1071#95C22×D4711yescharacteristic
1072#95C22×D4711yescharacteristic
1073#95C22×D4711yescharacteristic
1074#95C22×D4711yescharacteristic
1075#95C22×D4711yescharacteristic
1076#95C22×D4711yescharacteristic
1077#95C22×D4711yescharacteristic
1078#95C22×D4711yescharacteristic
1079#95C22×D4711yescharacteristic
1080#95C22×D4711yescharacteristic
1081#95C22×D4711yescharacteristic
1082C24—471no—
1083C24—471no—
1084C24—471no—
1085C24C23×D4711yescharacteristic
1086C2×D4—474no—
1087C2×D4—942no—
1088C2×D4—942no—
1089C2×D4—942no—
1090C2×D4—942no—
1091C2×D4—942no—
1092C2×D4—942no—
1093C2×D4—942no—
1094C2×D4—942no—
1095C2×D4—942no—
1096C2×D4—942no—
1097C2×D4—942no—
1098C2×D4—1881no—
1099C2×D4—1881no—
1100C2×D4—1881no—
1101C2×D4—1881no—
1102C2×D4—1881no—
1103C2×D4—1881no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—471no—
1124C22×C4—471no—
1125C22×C4—471no—
1126C22×C4—471no—
1127C22×C4—471no—
1128C22×C4—471no—
1129C22×C4—471no—
1130C22×C4—471no—
1131C22×C4—471no—
1132C22×C4—471no—
1133C22×C4—471no—
1134C22×C4—471no—
1135C22×C4—471no—
1136C22×C4—942no—
1137C22×C4—942no—
1138C22×C4—942no—
1139C22×C4—942no—
1140C22×C4—942no—
1141C22×C4—942no—
1142C22×C4—1881no—
1143C22×C4—1881no—
1144C22×C4—1881no—
1145C22×C4—1881no—
1146C22×C4—1881no—
1147C22×C4—1881no—
1148C22×C4—1881no—
1149C22×C4—1881no—
1150C22×C4—1881no—
1151C22×C4#1062535014yes—
1152C22×C4#1062535414yes—
1153C22×C4C23×D4711yescharacteristic
1154C22×C4C23×D4711yescharacteristic
1155C22×C4C23×D4711yescharacteristic
1156C22×C4C23×D4711yescharacteristic
1157C22×C4C23×D4711yescharacteristic
1158C22×C4C23×D4711yescharacteristic
1159C22×C4C23×D4711yescharacteristic
1160C22×C4C23×D4711yescharacteristic
1161C22×C4C23×D4711yescharacteristic
1162C22×C4C23×D4711yescharacteristic
1163C22×C4C23×D4711yescharacteristic
1164C22×C4C23×D4711yescharacteristic
1165C22×C4C23×D4711yescharacteristic
1166C22×C4C23×D4711yescharacteristic
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—942no—
1176C4⋊C4—942no—
1177C4⋊C4—942no—
1178C4⋊C4—942no—
1179C4⋊C4—942no—
1180C4⋊C4—942no—
1181C4⋊C4—942no—
1182C4⋊C4—942no—
1183C4⋊C4—1881no—
1184C4⋊C4—1881no—
1185C4⋊C4—1881no—
1186C4⋊C4—1881no—
1187C4⋊C4—1881no—
1188C4⋊C4—1881no—
1189C4⋊C4—1881no—
1190C4⋊C4—1881no—
1191C4⋊C4—1881no—
1192C4⋊C4—1881no—
1193C4⋊C4—1881no—
1194C4⋊C4—1881no—
1195C4⋊C4—1881no—
1196C4⋊C4—1881no—
1197C22⋊C4—942no—
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—942no—
1210C22⋊C4—942no—
1211C22⋊C4—942no—
1212C22⋊C4—942no—
1213C22⋊C4—942no—
1214C22⋊C4—942no—
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—1881no—
1227C22⋊C4—1881no—
1228C22⋊C4—1881no—
1229C22⋊C4—1881no—
1230C22⋊C4—1881no—
1231C22⋊C4—1881no—
1232C22⋊C4—1881no—
1233C42—22no—
1234C42—22no—
1235C42—41no—
1236C42—41no—
1237C42—942no—
1238C42—942no—
1239C42—942no—
1240C42—942no—
1241C42—942no—
1242C42—942no—
1243C42—1881no—
1244C42—1881no—
1245C42—1881no—
1246C42—1881no—
1247C42—1881no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—472no—
1253C23—941no—
1254C23—941no—
1255C23—941no—
1256C23—941no—
1257C23—941no—
1258C23—941no—
1259C23—941no—
1260C23—941no—
1261C23—941no—
1262C23—941no—
1263C23—941no—
1264C23—941no—
1265C23—941no—
1266C23—941no—
1267C23—941no—
1268C23—941no—
1269C23—941no—
1270C23—941no—
1271C23—941no—
1272C23—941no—
1273C23#41×D4712yes—
1274C23C2×#1062535012yes—
1275C23C2×#1062535412yes—
1276C23C24×D4711yescharacteristic
1277D4—948no—
1278D4—3762no—
1279D4—3762no—
1280D4—1884no—
1281D4—1884no—
1282D4—1884no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—44no—
1321C2×C4—44no—
1322C2×C4—44no—
1323C2×C4—44no—
1324C2×C4—44no—
1325C2×C4—82no—
1326C2×C4—82no—
1327C2×C4—472no—
1328C2×C4—941no—
1329C2×C4—941no—
1330C2×C4—941no—
1331C2×C4—941no—
1332C2×C4—941no—
1333C2×C4—941no—
1334C2×C4—941no—
1335C2×C4—941no—
1336C2×C4—941no—
1337C2×C4—941no—
1338C2×C4—941no—
1339C2×C4—941no—
1340C2×C4—941no—
1341C2×C4—941no—
1342C2×C4—941no—
1343C2×C4—941no—
1344C2×C4—941no—
1345C2×C4—941no—
1346C2×C4—941no—
1347C2×C4—941no—
1348C2×C4—941no—
1349C2×C4—941no—
1350C2×C4—941no—
1351C2×C4—941no—
1352C2×C4—941no—
1353C2×C4—941no—
1354C2×C4—941no—
1355C2×C4—941no—
1356C2×C4—941no—
1357C2×C4—941no—
1358C2×C4—941no—
1359C2×C4—941no—
1360C2×C4—941no—
1361C2×C4—941no—
1362C2×C4—941no—
1363C2×C4—941no—
1364C2×C4—941no—
1365C2×C4—941no—
1366C2×C4—3762no—
1367C2×C4—3762no—
1368C2×C4—1884no—
1369C2×C4—1884no—
1370C2×C4—1884no—
1371C2×C4C2×#1062535012yes—
1372C2×C4C2×#1062535012yes—
1373C2×C4C2×#1062535412yes—
1374C2×C4C2×#1062535412yes—
1375C2×C4#1309406912yes—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—942no—
1383C22—942no—
1384C22—942no—
1385C22—1881no—
1386C22—1881no—
1387C22—1881no—
1388C22—1881no—
1389C22—1881no—
1390C22—1881no—
1391C22—1881no—
1392C22—1881no—
1393C22—1881no—
1394C22—1881no—
1395C22—1881no—
1396C22—1881no—
1397C22—1881no—
1398C22—1881no—
1399C22—1881no—
1400C22—1881no—
1401C22—1881no—
1402C22—1881no—
1403C22#1568966014yes—
1404C22C2×#41×D4711yescharacteristic
1405C22C22×#1062535011yescharacteristic
1406C22C22×#1062535411yescharacteristic
1407C22C2×#1309406911yescharacteristic
1408C22#1568995911yescharacteristic
1409C22#1568995911yescharacteristic
1410C22#1568995911yescharacteristic
1411C4—22no—
1412C4—22no—
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—942no—
1426C4—1881no—
1427C4—1881no—
1428C4—1881no—
1429C4—1881no—
1430C4—1881no—
1431C4—1881no—
1432C4—1881no—
1433C4—1881no—
1434C4—1881no—
1435C4—1881no—
1436C4—1881no—
1437C4—1881no—
1438C2—24no—
1439C2—3761no—
1440C2—3761no—
1441C2—1882no—
1442C2C2×#1568966011yescharacteristic
1443C2#2025677811yescharacteristic
1444C2#2025679711yescharacteristic
1445C2#2025722911yescharacteristic
1446C2#2025731211yescharacteristic
1447C2#2025732011yescharacteristic
1448C2#2025744811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC2×C47×#387C2
prime radical#20248348C2
hypercenterC2×#387D47
hypocenterC47#35028
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
1. #20251781C2semidirect
2. #20251778C2semidirect
3. #20251712C2semidirect
4. #20251706C2semidirect
5. #20249487C2semidirect
6. #20249442C2semidirect
7. #20249427C2semidirect
8. #20249382C2semidirect
9. #20248868C2semidirect
10. #20248735C2semidirect
11. #20248724C2semidirect
12. #20248709C2semidirect
13. #20248694C2semidirect
14. #20248679C2semidirect
15. #20248612C2semidirect
17. #20248132C2semidirect
18. #20248009C2semidirect
19. #20247948C2semidirect
20. #20247643C2semidirect
21. #20247456C2semidirect
22. #20247297C2semidirect
23. #20247138C2semidirect
24. #20247123C2semidirect
25. #20246091C2semidirect
26. #20246091C2semidirect
27. #20246022C2semidirect
28. #20246022C2semidirect
29. C4×#13093998C2semidirect
30. C42×C22⋊D47C2semidirect
31. C2×C47×#387C2semidirect
743. C2×#387D47semidirect
911. C47#35028semidirect

Maximal subgroups

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

subgroupindex
#202517812
#202517782
#202517122
#202517062
#202494872
#202494422
#202494272
#202493822
#202488682
#202487352
#202487242
#202487092
#202486942
#202486792
#202486122
#202483482
#202481322
#202480092
#202479482
#202476432
#202474562
#202472972
#202471382
#202471232
#202460912
#202460222
C4×#130939982
C42×C22⋊D472
C2×C47×#3872
#3502847