Finite Group Databasebeta

← #26388634

Subgroups — #26388634

Order 12032.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20248218C211yesmaximal, characteristic, complemented
2#20248216C211yesmaximal, characteristic, complemented
3#20248181C211yesmaximal, characteristic, complemented
4#20248179C211yesmaximal, characteristic, complemented
5#20247962C211yesmaximal, characteristic, complemented
6#20247934C211yesmaximal, characteristic, complemented
7#20247787C211yesmaximal, characteristic, complemented
8#20247761C211yesmaximal, characteristic, complemented
9#20247587C211yesmaximal, characteristic, complemented
10#20247585C211yesmaximal, characteristic, complemented
11#20247490C211yesmaximal, characteristic, complemented
12#20247488C211yesmaximal, characteristic, complemented
13#20247237C211yesmaximal, characteristic, complemented
14#20247172C211yesmaximal, characteristic, complemented
15#20246964C211yesmaximal, characteristic
16#20246901C211yesmaximal, characteristic
17#20246689C211yesmaximal, characteristic, complemented
18#20246688C211yesmaximal, characteristic, complemented
19#20246675C211yesmaximal, characteristic, complemented
20#20246671C211yesmaximal, characteristic, complemented
21C4×#13094022C211yesmaximal, characteristic, complemented
22C4×#13094010C211yesmaximal, characteristic, complemented
23C4×#13094002C211yesmaximal, characteristic, complemented
24C4×#13094002C211yesmaximal, characteristic, complemented
25C4×#13094009C211yesmaximal, characteristic, complemented
26C4×#13094007C211yesmaximal, characteristic, complemented
27C4×#13093997C211yesmaximal, characteristic
28#20245864C211yesmaximal, characteristic, complemented
29C42×C22⋊D47C211yesmaximal, characteristic, complemented
30C4×#13093982C211yesmaximal, characteristic, complemented
31C4×C22⋊Q8×C47C211yesmaximal, characteristic, complemented
32C2×#13094022C2211yescharacteristic
33C2×#13094010C2211yescharacteristic
34C2×#13094009C2211yescharacteristic
35C2×#13094007C2211yescharacteristic
36C2×#13094002C2211yescharacteristic
37C2×#13094002C2211yescharacteristic
38C2×#13093997C2211yescharacteristic
39C2×C4×Dic94C2211yescharacteristic
40C2×C4×Dic94C2211yescharacteristic
41C2×C4×D188C2211yescharacteristic
42C2×C4×C22⋊D47C2211yescharacteristic
43C2×C4×C22⋊D47C2211yescharacteristic
44C2×C4×C22⋊D47C2211yescharacteristic
45C2×C4×C22⋊D47C2211yescharacteristic
46C2×#13093982C2211yescharacteristic
47C2×#13093982C2211yescharacteristic
48C2×C42×D47C2211yescharacteristic
49C2×C42×D47C2211yescharacteristic
50C47⋊#401C2211yescharacteristic
51C47⋊#401C2211yescharacteristic
52#15689065C2211yescharacteristic
53#15689065C2211yescharacteristic
54#15689065C2211yescharacteristic
55#15689064C2211yescharacteristic
56#15689064C2211yescharacteristic
57#15689063C2211yescharacteristic
58#15689062C2211yescharacteristic
59#15689062C2211yescharacteristic
60#15689062C2211yescharacteristic
61#15689061C2211yescharacteristic
62#15689052C2211yescharacteristic
63#15689052C2211yescharacteristic
64#15689051C2211yescharacteristic
65#15689051C2211yescharacteristic
66#15689051C2211yescharacteristic
67#15689050C2211yescharacteristic
68#15689049C2211yescharacteristic
69#15689049C2211yescharacteristic
70#15689049C2211yescharacteristic
71#15689048C2211yescharacteristic
72#15689046C2211yescharacteristic
73#15689045C2211yescharacteristic
74#15689040C2211yescharacteristic
75#15689040C2211yescharacteristic
76#15689039C2211yescharacteristic
77#15689038C2211yescharacteristic
78#15689036C2211yescharacteristic
79#15689035C2211yescharacteristic
80#15689034C2211yescharacteristic
81#15689034C2211yescharacteristic
82#15689030C2211yescharacteristic
83#15689028C2211yescharacteristic
84#15689027C2211yescharacteristic
85#15689027C2211yescharacteristic
86#15689027C2211yescharacteristic
87#15689027C2211yescharacteristic
88#15689027C2211yescharacteristic
89#15689023C2211yescharacteristic
90#15689023C2211yescharacteristic
91#15689020C2211yescharacteristic
92#15689018C2211yescharacteristic
93#15689018C2211yescharacteristic
94#15689018C2211yescharacteristic
95#15689018C2211yescharacteristic
96#15689018C2211yescharacteristic
97#15689018C2211yescharacteristic
98#15689018C2211yescharacteristic
99#15689018C2211yescharacteristic
100#15689016C2211yescharacteristic
101#15689016C2211yescharacteristic
102#15689015C2211yescharacteristic
103#15689014C2211yescharacteristic
104#15689014C2211yescharacteristic
105#15689013C2211yescharacteristic
106#15689012C2211yescharacteristic
107#15689012C2211yescharacteristic
108#15689012C2211yescharacteristic
109#15689011C2211yescharacteristic
110#15689010C2211yescharacteristic
111#15689009C2211yescharacteristic
112#15689009C2211yescharacteristic
113#15689009C2211yescharacteristic
114#15689008C2211yescharacteristic
115#15689008C2211yescharacteristic
116#15689007C2211yescharacteristic
117#15689007C2211yescharacteristic
118#15689005C2211yescharacteristic
119#15689005C2211yescharacteristic
120#15689004C2211yescharacteristic
121#15689004C2211yescharacteristic
122#15689002C2211yescharacteristic
123#15689001C2211yescharacteristic
124#15689001C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688997C2211yescharacteristic
127#15688997C2211yescharacteristic
128#15688996C2211yescharacteristic
129#15688994C2211yescharacteristic
130#15688994C2211yescharacteristic
131#15688994C2211yescharacteristic
132#15688992C2211yescharacteristic
133#15688987C2211yescharacteristic
134#15688986C2211yescharacteristic
135#15688985C2211yescharacteristic
136#15688982C2211yescharacteristic
137#15688982C2211yescharacteristic
138#15688982C2211yescharacteristic
139C4⋊C4×Dic47C2211yescharacteristic
140C4⋊C4×Dic47C2211yescharacteristic
141C4×Dic47⋊C4C2211yescharacteristic
142C4×Dic47⋊C4C2211yescharacteristic
143C4×Dic47⋊C4C2211yescharacteristic
144C4×Dic47⋊C4C2211yescharacteristic
145C4×Dic47⋊C4C2211yescharacteristic
146C4×Dic47⋊C4C2211yescharacteristic
147C4×Dic47⋊C4C2211yescharacteristic
148C4×Dic47⋊C4C2211yescharacteristic
149C4×C4⋊Dic47C2211yescharacteristic
150C4×(C2×D47)⋊C4C2211yescharacteristic
151C4×(C2×D47)⋊C4C2211yescharacteristic
152C4×(C2×D47)⋊C4C2211yescharacteristic
153C4×(C2×D47)⋊C4C2211yescharacteristic
154C4×(C2×D47)⋊C4C2211yescharacteristic
155C4×(C2×D47)⋊C4C2211yescharacteristic
156C4×(C2×D47)⋊C4C2211yescharacteristic
157C4×(C2×D47)⋊C4C2211yescharacteristic
158C4×(C2×D47)⋊C4C2211yescharacteristic
159C4×(C2×D47)⋊C4C2211yescharacteristic
160C4×C22⋊Dic47C2211yescharacteristic
161C4×C22⋊Dic47C2211yescharacteristic
162C4×C22⋊Dic47C2211yescharacteristic
163C4×C22⋊Dic47C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688969C2211yescharacteristic
167#15688969C2211yescharacteristic
168#15688968C2211yescharacteristic
169#15688968C2211yescharacteristic
170C42×Dic47C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C2×C22⋊Q8×C47C2211yescharacteristic
173C2×C4×Q8×C47C2211yescharacteristic
174C22×C42×C47C2211yescharacteristic
175C47×#391C2211yescharacteristic
176C47×#389C2211yescharacteristic
177C47×#387C2211yescharacteristic
178C47×#387C2211yescharacteristic
179C47×#385C2211yescharacteristic
180C47×#385C2211yescharacteristic
181C47×#380C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic
183C4×C4⋊C4×C47C2211yescharacteristic
184C4×C4⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C4×D47C2311yescharacteristic
193C22×C4×D47C2311yescharacteristic
194C22×C4×D47C2311yescharacteristic
195C22×C4×D47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198#13094022—24no—
199#13094010—24no—
200#13094009—24no—
201#13094007—24no—
202#13094002—24no—
203#13094002—24no—
204#13093997—24no—
205C4×Dic94—24no—
206C4×Dic94—42no—
207C4×D188—42no—
208C4×C22⋊D47—24no—
209C4×C22⋊D47—24no—
210C4×C22⋊D47—24no—
211C4×C22⋊D47—42no—
212#13093982—24no—
213#13093982—24no—
214C2×C4⋊Dic47C2311yescharacteristic
215C2×C4⋊Dic47C2311yescharacteristic
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×C22⋊Dic47C2311yescharacteristic
238C2×C22⋊Dic47C2311yescharacteristic
239C2×C22⋊Dic47C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
264C2×C4×Dic47C2311yescharacteristic
265C2×C4×Dic47C2311yescharacteristic
266C2×C4×Dic47C2311yescharacteristic
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
278C2×C4×Dic47C2311yescharacteristic
279C2×C4×Dic47C2311yescharacteristic
280C2×C4×Dic47C2311yescharacteristic
281C42×D47—24no—
282C42×D47—42no—
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
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C22×Q8×C47C2311yescharacteristic
326C23×C4×C47C2311yescharacteristic
327C23×C4×C47C2311yescharacteristic
328C23×C4×C47C2311yescharacteristic
329C22⋊Q8×C47—24no—
330C4×Q8×C47—42no—
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×C4⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C42×C47—42no—
345C2×C42×C47C2311yescharacteristic
346C2×C42×C47C2311yescharacteristic
347C2×C42×C47C2311yescharacteristic
348C2×C42×C47C2311yescharacteristic
349C2×C42×C47C2311yescharacteristic
350C2×C42×C47C2311yescharacteristic
351C2×C42×C47C2311yescharacteristic
352C2×C42×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×D47C2411yescharacteristic
365C23×D47C2411yescharacteristic
366C2×Q8×C47—22no—
367C2×Q8×C47—22no—
368C2×Q8×C47—41no—
369C22×C4×C47—22no—
370C22×C4×C47—22no—
371C22×C4×C47—22no—
372C22×C4×C47—22no—
373C22×C4×C47—22no—
374C22×C4×C47—22no—
375C22×C4×C47—22no—
376C22×C4×C47—41no—
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—22no—
395C2×C22⋊D47—22no—
396C2×C22⋊D47—41no—
397C2×C22⋊D47#4114yes—
398C22×Dic47C2411yescharacteristic
399C22×Dic47C2411yescharacteristic
400C22×Dic47C2411yescharacteristic
401C22×Dic47C2411yescharacteristic
402C22×Dic47C2411yescharacteristic
403C22×Dic47C2411yescharacteristic
404C22×Dic47C2411yescharacteristic
405C22×Dic47C2411yescharacteristic
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C2×D188—22no—
413C2×D188—22no—
414C2×D188—41no—
415C2×C4×D47—22no—
416C2×C4×D47—22no—
417C2×C4×D47—22no—
418C2×C4×D47—22no—
419C2×C4×D47—22no—
420C2×C4×D47—22no—
421C2×C4×D47—22no—
422C2×C4×D47—22no—
423C2×C4×D47—22no—
424C2×C4×D47—22no—
425C2×C4×D47—22no—
426C2×C4×D47—22no—
427C2×C4×D47—22no—
428C2×C4×D47—22no—
429C2×C4×D47—22no—
430C2×C4×D47—22no—
431C2×C4×D47—41no—
432C2×C4×D47—41no—
433C2×Dic94—22no—
434C2×Dic94—22no—
435C2×Dic94—22no—
436C2×Dic94—22no—
437C2×Dic94—22no—
438C2×Dic94—41no—
439C4⋊C4×C47—22no—
440C4⋊C4×C47—22no—
441C4⋊C4×C47—22no—
442C4⋊C4×C47—22no—
443C4⋊C4×C47—22no—
444C4⋊C4×C47—41no—
445C4⋊C4×C47—41no—
446C4⋊C4×C47—41no—
447C4⋊C4×C47#4114yes—
448C22⋊C4×C47—22no—
449C22⋊C4×C47—22no—
450C22⋊C4×C47—22no—
451C22⋊C4×C47—22no—
452C42×C47—22no—
453C42×C47—22no—
454C42×C47—22no—
455C42×C47—22no—
456C42×C47—22no—
457C42×C47—22no—
458C42×C47—41no—
459C42×C47—41no—
460C22⋊Dic47—22no—
461C22⋊Dic47—22no—
462C22⋊Dic47—22no—
463C22⋊Dic47—22no—
464C22⋊Dic47—22no—
465C22⋊Dic47—41no—
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—22no—
473(C2×D47)⋊C4—22no—
474(C2×D47)⋊C4—22no—
475(C2×D47)⋊C4—22no—
476(C2×D47)⋊C4—22no—
477(C2×D47)⋊C4—22no—
478(C2×D47)⋊C4—22no—
479(C2×D47)⋊C4—22no—
480(C2×D47)⋊C4—22no—
481(C2×D47)⋊C4—22no—
482(C2×D47)⋊C4—41no—
483(C2×D47)⋊C4—41no—
484(C2×D47)⋊C4—41no—
485(C2×D47)⋊C4#4114yes—
486C4⋊Dic47—22no—
487C4⋊Dic47—22no—
488C4⋊Dic47—22no—
489C4⋊Dic47—41no—
490C4⋊Dic47—41no—
491Dic47⋊C4—22no—
492Dic47⋊C4—22no—
493Dic47⋊C4—22no—
494Dic47⋊C4—22no—
495Dic47⋊C4—22no—
496Dic47⋊C4—22no—
497Dic47⋊C4—22no—
498Dic47⋊C4—22no—
499Dic47⋊C4—22no—
500Dic47⋊C4—22no—
501Dic47⋊C4—22no—
502Dic47⋊C4—22no—
503Dic47⋊C4—22no—
504Dic47⋊C4—22no—
505Dic47⋊C4—41no—
506Dic47⋊C4—41no—
507Dic47⋊C4—41no—
508Dic47⋊C4#4114yes—
509C4×Dic47—22no—
510C4×Dic47—22no—
511C4×Dic47—22no—
512C4×Dic47—22no—
513C4×Dic47—22no—
514C4×Dic47—22no—
515C4×Dic47—22no—
516C4×Dic47—22no—
517C4×Dic47—22no—
518C4×Dic47—22no—
519C4×Dic47—22no—
520C4×Dic47—22no—
521C4×Dic47—22no—
522C4×Dic47—22no—
523C4×Dic47—22no—
524C4×Dic47—41no—
525C4×Dic47—41no—
526C4×Dic47#4114yes—
527C23×C47—21no—
528C23×C47—21no—
529C23×C47—21no—
530C23×C47—21no—
531C23×C47—21no—
532C23×C47—21no—
533C23×C47C2×#4112yes—
534C23×C47C2511yescharacteristic
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×D47C2×#4112yes—
548C22×D47C2×#4112yes—
549Q8×C47—44no—
550C2×C4×C47—21no—
551C2×C4×C47—21no—
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—44no—
585C2×C4×C47—44no—
586C2×C4×C47—44no—
587C2×C4×C47C2×#4112yes—
588C2×C4×C47C2×#4112yes—
589C2×C4×C47C2×#4112yes—
590C2×C4×C47C2×#4112yes—
591C2×C4×C47C2×#4112yes—
592C2×C4×C47C2×#4112yes—
593C2×C4×C47H(5,𝔽2)12yes—
594C2×C4×C472−1+412yes—
595C22⋊D47—28no—
596C22⋊D47—44no—
597C2×Dic47—21no—
598C2×Dic47—21no—
599C2×Dic47—21no—
600C2×Dic47—21no—
601C2×Dic47—21no—
602C2×Dic47—21no—
603C2×Dic47—21no—
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×Dic47C2×#4112yes—
634C2×Dic47C2×#4112yes—
635C2×Dic47C2×#4112yes—
636C2×Dic47C2×#4112yes—
637C2×Dic47C2×#4112yes—
638C2×Dic47C2×#4112yes—
639D188—44no—
640C4×D47—28no—
641C4×D47—44no—
642C4×D47—44no—
643C4×D47—44no—
644C4×D47—44no—
645C4×D47—44no—
646Dic94—44no—
647Dic94—44no—
648#34969—471nomaximal, Sylow
649C22×C47—22no—
650C22×C47—22no—
651C22×C47—22no—
652C22×C47—41no—
653C22×C47—41no—
654C22×C47—41no—
655C22×C47—41no—
656C22×C47C22×#4111yescharacteristic
657C22×C47C22×#4111yescharacteristic
658C22×C47C22×#4111yescharacteristic
659C22×C47C22×#4111yescharacteristic
660C22×C47C22×#4111yescharacteristic
661C22×C47C2×H(5,𝔽2)11yescharacteristic
662C22×C47C2×2−1+411yescharacteristic
663C2×D47—22no—
664C2×D47—22no—
665C2×D47—22no—
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—
677C4×C47—22no—
678C4×C47—22no—
679C4×C47—22no—
680C4×C47—22no—
681C4×C47—22no—
682C4×C47—41no—
683C4×C47—41no—
684C4×C47—41no—
685C4×C47—41no—
686C4×C47—41no—
687C4×C47—41no—
688C4×C47—41no—
689C4×C47—41no—
690C4×C47#54214yes—
691Dic47—22no—
692Dic47—22no—
693Dic47—22no—
694Dic47—41no—
695Dic47—41no—
696Dic47—41no—
697Dic47—41no—
698Dic47—41no—
699Dic47—41no—
700Dic47—41no—
701Dic47—41no—
702Dic47—41no—
703Dic47—41no—
704Dic47#52914yes—
705#2530—471no—
706#2530—471no—
707#2527—471no—
708#2527—471no—
709#2511—471no—
710#2509—471no—
711#2494—471no—
712#2492—471no—
713#2477—471no—
714#2477—471no—
715#2470—471no—
716#2470—471no—
717#2452—471no—
718#2447—471no—
719#2427—471no—
720#2422—471no—
721#2401—471no—
722#2401—471no—
723#2398—471no—
724#2398—471no—
725C4×C4⋊Q8—471no—
726C4×#124—471no—
727C4×C22⋊Q8—471no—
728C4×C22⋊Q8—471no—
729C4×C22⋊Q8D4711yescharacteristic, complemented
730C4×#123—471no—
731C4×#123—471no—
732C4×#121—471no—
733#2295—471no—
734C42×D4—471no—
735C4×#117—471no—
736C2×C47—42no—
737C2×C47C2×#52911yescharacteristic
738C2×C47#344411yescharacteristic
739C2×C47C2×#54211yescharacteristic
740C2×C47#348111yescharacteristic
741C2×C47#348111yescharacteristic
742C2×C47#348211yescharacteristic
743C2×C47#348211yescharacteristic
744D47—42no—
745D47—42no—
746C2×C4⋊Q8—471no—
747C2×#124—471no—
748C2×#123—471no—
749C2×#123—471no—
750C2×C22⋊Q8—471no—
751C2×C22⋊Q8—471no—
752C2×C22⋊Q8C2×D4711yescharacteristic
753C2×#121—471no—
754C2×C4×Q8—471no—
755C2×C4×Q8—471no—
756C2×C4×Q8C2×D4711yescharacteristic
757C2×C4×D4—471no—
758C2×C4×D4—471no—
759C2×C4×D4—471no—
760C2×C4×D4—471no—
761C2×C4×D4—471no—
762C2×#117—471no—
763C2×#117—471no—
764C22×C42—471no—
765C22×C42—471no—
766C22×C42C2×D4711yescharacteristic
767#401—471no—
768#401—471no—
769#400—471no—
770#400—471no—
771#400—471no—
772#400—471no—
773#400—471no—
774#400—471no—
775#400—471no—
776#400—471no—
777#400—471no—
778#400—471no—
779#397—471no—
780#397—471no—
781#397—471no—
782#397—471no—
783#397—471no—
784#397—471no—
785#397—471no—
786#397—471no—
787#397—471no—
788#397—471no—
789#396—471no—
790#396—471no—
791#394—471no—
792#394—471no—
793#394—471no—
794#394—471no—
795#393—471no—
796#393—471no—
797#393—471no—
798#393—471no—
799#391—471no—
800#391—471no—
801#391—471no—
802#391—471no—
803#391—471no—
804#391—471no—
805#391—471no—
806#391C2×D4711yescharacteristic
807#390—471no—
808#390—471no—
809#389—471no—
810#389—471no—
811#389—471no—
812#389—471no—
813#389—471no—
814#389—471no—
815#389—471no—
816#389—471no—
817#389—471no—
818#389C2×D4711yescharacteristic
819#388—471no—
820#388—471no—
821#388—471no—
822#388—471no—
823#388—471no—
824#388—471no—
825#388—471no—
826#388—471no—
827#388—471no—
828#388—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#387C2×D4711yescharacteristic
842#387C2×D4711yescharacteristic
843#386—471no—
844#386—471no—
845#386—471no—
846#386—471no—
847#385—471no—
848#385—471no—
849#385—471no—
850#385—471no—
851#385—471no—
852#385—471no—
853#385C2×D4711yescharacteristic
854#385C2×D4711yescharacteristic
855#384—471no—
856#382—471no—
857#381—471no—
858#381—471no—
859#380—471no—
860#380—471no—
861#380—471no—
862#380C2×D4711yescharacteristic
863C4×C4⋊C4—471no—
864C4×C4⋊C4—471no—
865C4×C4⋊C4—471no—
866C4×C4⋊C4—471no—
867C4×C4⋊C4—471no—
868C4×C4⋊C4—471no—
869C4×C4⋊C4—471no—
870C4×C4⋊C4—471no—
871C4×C4⋊C4—471no—
872C4×C4⋊C4—471no—
873C4×C4⋊C4—471no—
874C4×C4⋊C4C2×D4711yescharacteristic
875C4×C4⋊C4C2×D4711yescharacteristic
876C4×C4⋊C4C2×D4711yescharacteristic
877C4×C22⋊C4—471no—
878C4×C22⋊C4—471no—
879C4×C22⋊C4—471no—
880C4×C22⋊C4—471no—
881C4×C22⋊C4—471no—
882C4×C22⋊C4—471no—
883C4×C22⋊C4—471no—
884C4×C22⋊C4—471no—
885C4×C22⋊C4—471no—
886C4×C22⋊C4—471no—
887C4×C22⋊C4—471no—
888C4×C22⋊C4—471no—
889C4×C22⋊C4—471no—
890C4×C22⋊C4—471no—
891C4×C22⋊C4—471no—
892C4×C22⋊C4—471no—
893C4×C22⋊C4C2×D4711yescharacteristic
894C4×C22⋊C4C2×D4711yescharacteristic
895#376—471no—
896#376—471no—
897#376—471no—
898#376—471no—
899C43—471no—
900C43—471no—
901C47#3496911yescharacteristic, complemented, Sylow
902C22×Q8—471no—
903C22×Q8—471no—
904C22×Q8C22×D4711yescharacteristic
905C22×D4—471no—
906C22×D4—471no—
907C22×D4—471no—
908C23×C4—471no—
909C23×C4—471no—
910C23×C4—471no—
911C23×C4—471no—
912C23×C4—471no—
913C23×C4—471no—
914C23×C4C22×D4711yescharacteristic
915C23×C4C22×D4711yescharacteristic
916C23×C4C22×D4711yescharacteristic
917C4⋊Q8—944no—
918#124—944no—
919#123—944no—
920#123—944no—
921C22⋊Q8—24no—
922C22⋊Q8—944no—
923C22⋊Q8—944no—
924#121—944no—
925C4×Q8—42no—
926C4×Q8—944no—
927C4×Q8—1882no—
928C4×D4—944no—
929C4×D4—944no—
930C4×D4—944no—
931C4×D4—1882no—
932C4×D4—1882no—
933#117—944no—
934#117—944no—
935C2×C4⋊C4—471no—
936C2×C4⋊C4—471no—
937C2×C4⋊C4—471no—
938C2×C4⋊C4—471no—
939C2×C4⋊C4—471no—
940C2×C4⋊C4—471no—
941C2×C4⋊C4—471no—
942C2×C4⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
959C2×C4⋊C4C22×D4711yescharacteristic
960C2×C4⋊C4C22×D4711yescharacteristic
961C2×C4⋊C4C22×D4711yescharacteristic
962C2×C4⋊C4C22×D4711yescharacteristic
963C2×C4⋊C4C22×D4711yescharacteristic
964C2×C4⋊C4C22×D4711yescharacteristic
965C2×C4⋊C4C22×D4711yescharacteristic
966C2×C4⋊C4C22×D4711yescharacteristic
967C2×C22⋊C4—471no—
968C2×C22⋊C4—471no—
969C2×C22⋊C4—471no—
970C2×C22⋊C4—471no—
971C2×C22⋊C4—471no—
972C2×C22⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
994C2×C22⋊C4C22×D4711yescharacteristic
995C2×C22⋊C4C22×D4711yescharacteristic
996C2×C22⋊C4C22×D4711yescharacteristic
997C2×C42—42no—
998C2×C42—471no—
999C2×C42—471no—
1000C2×C42—471no—
1001C2×C42—471no—
1002C2×C42—471no—
1003C2×C42—471no—
1004C2×C42—471no—
1005C2×C42—471no—
1006C2×C42—471no—
1007C2×C42—471no—
1008C2×C42—471no—
1009C2×C42—471no—
1010C2×C42—471no—
1011C2×C42—471no—
1012C2×C42—471no—
1013C2×C42—471no—
1014C2×C42—471no—
1015C2×C42—471no—
1016C2×C42—944no—
1017C2×C42—1882no—
1018C2×C42C22×D4711yescharacteristic
1019C2×C42C22×D4711yescharacteristic
1020C2×C42C22×D4711yescharacteristic
1021C2×C42C22×D4711yescharacteristic
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#95—471no—
1067#95—471no—
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
1078C24—471no—
1079C24—471no—
1080C24C23×D4711yescharacteristic
1081C2×Q8—22no—
1082C2×Q8—22no—
1083C2×Q8—41no—
1084C2×Q8—942no—
1085C2×Q8—942no—
1086C2×Q8—942no—
1087C2×Q8—942no—
1088C2×Q8—942no—
1089C2×Q8—1881no—
1090C2×D4—474no—
1091C2×D4—942no—
1092C2×D4—942no—
1093C2×D4—942no—
1094C2×D4—942no—
1095C2×D4—942no—
1096C2×D4—942no—
1097C2×D4—1881no—
1098C2×D4—1881no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—471no—
1109C22×C4—471no—
1110C22×C4—471no—
1111C22×C4—471no—
1112C22×C4—471no—
1113C22×C4—471no—
1114C22×C4—471no—
1115C22×C4—471no—
1116C22×C4—471no—
1117C22×C4—471no—
1118C22×C4—471no—
1119C22×C4—471no—
1120C22×C4—471no—
1121C22×C4—471no—
1122C22×C4—942no—
1123C22×C4—942no—
1124C22×C4—942no—
1125C22×C4—942no—
1126C22×C4—942no—
1127C22×C4—942no—
1128C22×C4—942no—
1129C22×C4—942no—
1130C22×C4—942no—
1131C22×C4—942no—
1132C22×C4—942no—
1133C22×C4—942no—
1134C22×C4—942no—
1135C22×C4—942no—
1136C22×C4—942no—
1137C22×C4—942no—
1138C22×C4—1881no—
1139C22×C4—1881no—
1140C22×C4C23×D4711yescharacteristic
1141C22×C4C23×D4711yescharacteristic
1142C22×C4C23×D4711yescharacteristic
1143C22×C4C23×D4711yescharacteristic
1144C22×C4C23×D4711yescharacteristic
1145C22×C4C23×D4711yescharacteristic
1146C22×C4C23×D4711yescharacteristic
1147C22×C4C23×D4711yescharacteristic
1148C22×C4C23×D4711yescharacteristic
1149C22×C4C23×D4711yescharacteristic
1150C22×C4C23×D4711yescharacteristic
1151C22×C4C23×D4711yescharacteristic
1152C22×C4C23×D4711yescharacteristic
1153C22×C4C23×D4711yescharacteristic
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—474no—
1163C4⋊C4—942no—
1164C4⋊C4—942no—
1165C4⋊C4—942no—
1166C4⋊C4—942no—
1167C4⋊C4—942no—
1168C4⋊C4—942no—
1169C4⋊C4—942no—
1170C4⋊C4—942no—
1171C4⋊C4—942no—
1172C4⋊C4—942no—
1173C4⋊C4—942no—
1174C4⋊C4—942no—
1175C4⋊C4—942no—
1176C4⋊C4—942no—
1177C4⋊C4—942no—
1178C4⋊C4—942no—
1179C4⋊C4—942no—
1180C4⋊C4—1881no—
1181C4⋊C4—1881no—
1182C4⋊C4—1881no—
1183C4⋊C4—1881no—
1184C4⋊C4—1881no—
1185C4⋊C4#1062535014yes—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—474no—
1191C22⋊C4—942no—
1192C22⋊C4—942no—
1193C22⋊C4—942no—
1194C22⋊C4—942no—
1195C22⋊C4—942no—
1196C22⋊C4—942no—
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—1881no—
1213C22⋊C4—1881no—
1214C22⋊C4—1881no—
1215C22⋊C4—1881no—
1216C42—22no—
1217C42—22no—
1218C42—22no—
1219C42—22no—
1220C42—22no—
1221C42—22no—
1222C42—41no—
1223C42—41no—
1224C42—474no—
1225C42—942no—
1226C42—942no—
1227C42—942no—
1228C42—942no—
1229C42—942no—
1230C42—942no—
1231C42—942no—
1232C42—942no—
1233C42—942no—
1234C42—942no—
1235C42—942no—
1236C42—942no—
1237C42—942no—
1238C42—942no—
1239C42—942no—
1240C42—1881no—
1241C42—1881no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—472no—
1249C23—472no—
1250C23—941no—
1251C23—941no—
1252C23—941no—
1253C23—941no—
1254C23—941no—
1255C23—941no—
1256C23—941no—
1257C23—941no—
1258C23—941no—
1259C23—941no—
1260C23—941no—
1261C23—941no—
1262C23#41×D4712yes—
1263C23C24×D4711yescharacteristic
1264Q8—44no—
1265Q8—1884no—
1266Q8—1884no—
1267D4—948no—
1268D4—1884no—
1269D4—1884no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
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—44no—
1305C2×C4—44no—
1306C2×C4—44no—
1307C2×C4—472no—
1308C2×C4—472no—
1309C2×C4—472no—
1310C2×C4—472no—
1311C2×C4—472no—
1312C2×C4—472no—
1313C2×C4—948no—
1314C2×C4—941no—
1315C2×C4—941no—
1316C2×C4—941no—
1317C2×C4—941no—
1318C2×C4—941no—
1319C2×C4—941no—
1320C2×C4—941no—
1321C2×C4—941no—
1322C2×C4—941no—
1323C2×C4—941no—
1324C2×C4—941no—
1325C2×C4—941no—
1326C2×C4—941no—
1327C2×C4—941no—
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—1884no—
1351C2×C4—1884no—
1352C2×C4—1884no—
1353C2×C4—1884no—
1354C2×C4—1884no—
1355C2×C4#41×D4712yes—
1356C2×C4#41×D4712yes—
1357C2×C4#41×D4712yes—
1358C2×C4C2×#1062535012yes—
1359C2×C4C2×#1062535012yes—
1360C2×C4C2×#1062535012yes—
1361C2×C4#1309406912yes—
1362C2×C4#1309407212yes—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—41no—
1367C22—41no—
1368C22—41no—
1369C22—41no—
1370C22—942no—
1371C22—942no—
1372C22—942no—
1373C22—942no—
1374C22—942no—
1375C22—942no—
1376C22—1881no—
1377C22—1881no—
1378C22—1881no—
1379C22—1881no—
1380C22—1881no—
1381C22—1881no—
1382C22—1881no—
1383C22—1881no—
1384C22C2×#41×D4711yescharacteristic
1385C22C2×#41×D4711yescharacteristic
1386C22C2×#41×D4711yescharacteristic
1387C22C2×#41×D4711yescharacteristic
1388C22C22×#1062535011yescharacteristic
1389C22C2×#1309406911yescharacteristic
1390C22C2×#1309407211yescharacteristic
1391C4—22no—
1392C4—22no—
1393C4—22no—
1394C4—22no—
1395C4—22no—
1396C4—41no—
1397C4—41no—
1398C4—41no—
1399C4—41no—
1400C4—41no—
1401C4—41no—
1402C4—41no—
1403C4—41no—
1404C4—474no—
1405C4—942no—
1406C4—942no—
1407C4—942no—
1408C4—1881no—
1409C4—1881no—
1410C4—1881no—
1411C4—1881no—
1412C4—1881no—
1413C4—1881no—
1414C4—1881no—
1415C4—1881no—
1416C4—1881no—
1417C4—1881no—
1418C4#1568974314yes—
1419C2—42no—
1420C2—1882no—
1421C2—1882no—
1422C2#529×D4711yescharacteristic
1423C2#2025668111yescharacteristic
1424C2C2×#1568974311yescharacteristic
1425C2#2025699011yescharacteristic
1426C2#2025699211yescharacteristic
1427C2#2025700511yescharacteristic
1428C2#2025700611yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC4×C22⋊Q8×C47C2
prime radicalC2×#13093997C22
hypercenterC4×C22⋊Q8D47
hypocenterC47#34969
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. #20248218C2semidirect
2. #20248216C2semidirect
3. #20248181C2semidirect
4. #20248179C2semidirect
5. #20247962C2semidirect
6. #20247934C2semidirect
7. #20247787C2semidirect
8. #20247761C2semidirect
9. #20247587C2semidirect
10. #20247585C2semidirect
11. #20247490C2semidirect
12. #20247488C2semidirect
13. #20247237C2semidirect
14. #20247172C2semidirect
17. #20246689C2semidirect
18. #20246688C2semidirect
19. #20246675C2semidirect
20. #20246671C2semidirect
21. C4×#13094022C2semidirect
22. C4×#13094010C2semidirect
23. C4×#13094002C2semidirect
24. C4×#13094002C2semidirect
25. C4×#13094009C2semidirect
26. C4×#13094007C2semidirect
28. #20245864C2semidirect
29. C42×C22⋊D47C2semidirect
30. C4×#13093982C2semidirect
31. C4×C22⋊Q8×C47C2semidirect
729. C4×C22⋊Q8D47semidirect
901. C47#34969semidirect

Maximal subgroups

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

subgroupindex
#202482182
#202482162
#202481812
#202481792
#202479622
#202479342
#202477872
#202477612
#202475872
#202475852
#202474902
#202474882
#202472372
#202471722
#202469642
#202469012
#202466892
#202466882
#202466752
#202466712
C4×#130940222
C4×#130940102
C4×#130940022
C4×#130940092
C4×#130940072
C4×#130939972
#202458642
C42×C22⋊D472
C4×#130939822
C4×C22⋊Q8×C472
#3496947