Finite Group Databasebeta

← #26388627

Subgroups — #26388627

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#20248227C211yesmaximal, characteristic, complemented
2#20248225C211yesmaximal, characteristic, complemented
3#20248177C211yesmaximal, characteristic, complemented
4#20248175C211yesmaximal, characteristic, complemented
5#20247956C211yesmaximal, characteristic, complemented
6#20247934C211yesmaximal, characteristic, complemented
7#20247781C211yesmaximal, characteristic, complemented
8#20247759C211yesmaximal, characteristic, complemented
9#20247588C211yesmaximal, characteristic, complemented
10#20247586C211yesmaximal, characteristic, complemented
11#20247478C211yesmaximal, characteristic, complemented
12#20247231C211yesmaximal, characteristic, complemented
13#20247172C211yesmaximal, characteristic, complemented
14#20246958C211yesmaximal, characteristic
15#20246899C211yesmaximal, characteristic
16#20246690C211yesmaximal, characteristic, complemented
17#20246687C211yesmaximal, characteristic, complemented
18#20246676C211yesmaximal, characteristic, complemented
19#20246673C211yesmaximal, characteristic, complemented
20#20245959C211yesmaximal, characteristic, complemented
21#20245929C211yesmaximal, characteristic, complemented
22#20245920C211yesmaximal, characteristic, complemented
23#20245920C211yesmaximal, characteristic, complemented
24#20245918C211yesmaximal, characteristic, complemented
25#20245915C211yesmaximal, characteristic, complemented
26#123×Dic47C211yesmaximal, characteristic, complemented
27#20245898C211yesmaximal, characteristic
28#20245861C211yesmaximal, characteristic, complemented
29C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
30#117×Dic47C211yesmaximal, characteristic, complemented
31C47×#2470C211yesmaximal, characteristic, complemented
32C2×#13094023C2211yescharacteristic
33C2×#13094010C2211yescharacteristic
34C2×#13094006C2211yescharacteristic
35C2×#13094004C2211yescharacteristic
36C2×#13094001C2211yescharacteristic
37C2×#13094001C2211yescharacteristic
38C2×#13093996C2211yescharacteristic
39C2×#13093989C2211yescharacteristic
40C2×#13093989C2211yescharacteristic
41C2×#13093989C2211yescharacteristic
42C2×D4×Dic47C2211yescharacteristic
43C2×C4×C22⋊D47C2211yescharacteristic
44C2×(C22⋊D47)⋊C4C2211yescharacteristic
45C2×(C22⋊D47)⋊C4C2211yescharacteristic
46C2×(C22⋊D47)⋊C4C2211yescharacteristic
47C2×#13093983C2211yescharacteristic
48C22×C4×Dic47C2211yescharacteristic
49C22×C4×Dic47C2211yescharacteristic
50C2×C42×D47C2211yescharacteristic
51C47⋊#401C2211yescharacteristic
52C47⋊#401C2211yescharacteristic
53#15689065C2211yescharacteristic
54#15689064C2211yescharacteristic
55#15689064C2211yescharacteristic
56#15689063C2211yescharacteristic
57#15689063C2211yescharacteristic
58#15689062C2211yescharacteristic
59#15689062C2211yescharacteristic
60#15689062C2211yescharacteristic
61#15689062C2211yescharacteristic
62#15689052C2211yescharacteristic
63#15689051C2211yescharacteristic
64#15689051C2211yescharacteristic
65#15689050C2211yescharacteristic
66#15689049C2211yescharacteristic
67#15689049C2211yescharacteristic
68#15689048C2211yescharacteristic
69#15689048C2211yescharacteristic
70#15689048C2211yescharacteristic
71#15689045C2211yescharacteristic
72#15689038C2211yescharacteristic
73#15689038C2211yescharacteristic
74#15689037C2211yescharacteristic
75#15689036C2211yescharacteristic
76#15689035C2211yescharacteristic
77#15689035C2211yescharacteristic
78#15689035C2211yescharacteristic
79#15689029C2211yescharacteristic
80#15689027C2211yescharacteristic
81#15689027C2211yescharacteristic
82#15689027C2211yescharacteristic
83#15689027C2211yescharacteristic
84#15689027C2211yescharacteristic
85#15689027C2211yescharacteristic
86#15689027C2211yescharacteristic
87#15689023C2211yescharacteristic
88#15689023C2211yescharacteristic
89#15689021C2211yescharacteristic
90#15689020C2211yescharacteristic
91#15689020C2211yescharacteristic
92#15689018C2211yescharacteristic
93#15689018C2211yescharacteristic
94#15689018C2211yescharacteristic
95#15689018C2211yescharacteristic
96#15689018C2211yescharacteristic
97#15689017C2211yescharacteristic
98#15689016C2211yescharacteristic
99#15689016C2211yescharacteristic
100#15689015C2211yescharacteristic
101#15689014C2211yescharacteristic
102#15689013C2211yescharacteristic
103#15689011C2211yescharacteristic
104#15689011C2211yescharacteristic
105#15689009C2211yescharacteristic
106#15689009C2211yescharacteristic
107#15689009C2211yescharacteristic
108#15689008C2211yescharacteristic
109#15689008C2211yescharacteristic
110#15689008C2211yescharacteristic
111#15689007C2211yescharacteristic
112#15689007C2211yescharacteristic
113#15689006C2211yescharacteristic
114#15689006C2211yescharacteristic
115#15689005C2211yescharacteristic
116#15689004C2211yescharacteristic
117#15689004C2211yescharacteristic
118#15689003C2211yescharacteristic
119#15689002C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688998C2211yescharacteristic
122#15688996C2211yescharacteristic
123#15688996C2211yescharacteristic
124#15688994C2211yescharacteristic
125#15688994C2211yescharacteristic
126#15688994C2211yescharacteristic
127#15688992C2211yescharacteristic
128#15688987C2211yescharacteristic
129#15688986C2211yescharacteristic
130#15688985C2211yescharacteristic
131#15688981C2211yescharacteristic
132#15688981C2211yescharacteristic
133#15688981C2211yescharacteristic
134#15688980C2211yescharacteristic
135C4⋊C4×Dic47C2211yescharacteristic
136C4⋊C4×Dic47C2211yescharacteristic
137C4⋊C4×Dic47C2211yescharacteristic
138C4⋊C4×Dic47C2211yescharacteristic
139C4⋊C4×Dic47C2211yescharacteristic
140C4⋊C4×Dic47C2211yescharacteristic
141C4⋊C4×Dic47C2211yescharacteristic
142C4⋊C4×Dic47C2211yescharacteristic
143C4×Dic47⋊C4C2211yescharacteristic
144#15688974C2211yescharacteristic
145#15688974C2211yescharacteristic
146#15688974C2211yescharacteristic
147#15688974C2211yescharacteristic
148#15688974C2211yescharacteristic
149C22⋊C4×Dic47C2211yescharacteristic
150C22⋊C4×Dic47C2211yescharacteristic
151C22⋊C4×Dic47C2211yescharacteristic
152C22⋊C4×Dic47C2211yescharacteristic
153C22⋊C4×Dic47C2211yescharacteristic
154C22⋊C4×Dic47C2211yescharacteristic
155C22⋊C4×Dic47C2211yescharacteristic
156C22⋊C4×Dic47C2211yescharacteristic
157C22⋊C4×Dic47C2211yescharacteristic
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic
160C4×(C2×D47)⋊C4C2211yescharacteristic
161#15688970C2211yescharacteristic
162#15688970C2211yescharacteristic
163#15688970C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688969C2211yescharacteristic
167#15688969C2211yescharacteristic
168#15688968C2211yescharacteristic
169#15688968C2211yescharacteristic
170C42×Dic47C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C2×#123×C47C2211yescharacteristic
173C2×#117×C47C2211yescharacteristic
174C47×#400C2211yescharacteristic
175C47×#397C2211yescharacteristic
176C47×#396C2211yescharacteristic
177C47×#394C2211yescharacteristic
178C47×#389C2211yescharacteristic
179C47×#389C2211yescharacteristic
180C47×#388C2211yescharacteristic
181C47×#388C2211yescharacteristic
182C47×#387C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C23×Dic47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199#13094023—24no—
200#13094010—24no—
201#13094006—24no—
202#13094004—24no—
203#13094001—24no—
204#13094001—24no—
205#13093996—24no—
206#13093989—24no—
207#13093989—42no—
208#13093989—42no—
209D4×Dic47—42no—
210C4×C22⋊D47—24no—
211(C22⋊D47)⋊C4—24no—
212(C22⋊D47)⋊C4—24no—
213(C22⋊D47)⋊C4—42no—
214#13093983—24no—
215C2×C4⋊Dic47C2311yescharacteristic
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×C4⋊Dic47C2311yescharacteristic
219C2×C4⋊Dic47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
238C2×C22⋊Dic47C2311yescharacteristic
239C2×C22⋊Dic47C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
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×C4×Dic47—24no—
259C2×C4×Dic47—42no—
260C2×C4×Dic47C2311yescharacteristic
261C2×C4×Dic47C2311yescharacteristic
262C2×C4×Dic47C2311yescharacteristic
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
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C42×D47—42no—
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
325C47⋊#95C2311yescharacteristic
326C22×D4×C47C2311yescharacteristic
327C23×C4×C47C2311yescharacteristic
328C23×C4×C47C2311yescharacteristic
329#123×C47—24no—
330#117×C47—24no—
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×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×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
364C24×C47C2411yescharacteristic
365C23×D47C2411yescharacteristic
366C2×D4×C47—22no—
367C2×D4×C47—22no—
368C2×D4×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—41no—
375C22×C4×C47C2411yescharacteristic
376C22×C4×C47C2411yescharacteristic
377C22×C4×C47C2411yescharacteristic
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
388C2×C22⋊D47—22no—
389C2×C22⋊D47—22no—
390C2×C22⋊D47—22no—
391C2×C22⋊D47—22no—
392C2×C22⋊D47—41no—
393C2×C22⋊D47#4114yes—
394C22×Dic47—22no—
395C22×Dic47—22no—
396C22×Dic47—22no—
397C22×Dic47—22no—
398C22×Dic47—22no—
399C22×Dic47—22no—
400C22×Dic47—22no—
401C22×Dic47—22no—
402C22×Dic47—22no—
403C22×Dic47—22no—
404C22×Dic47—22no—
405C22×Dic47—41no—
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
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—41no—
429C2×C4×D47—41no—
430C2×Dic94—22no—
431C2×Dic94—22no—
432C2×Dic94—22no—
433C2×Dic94—22no—
434C2×Dic94—22no—
435C2×Dic94—22no—
436C2×Dic94—22no—
437C2×Dic94—41no—
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—22no—
445C4⋊C4×C47—22no—
446C4⋊C4×C47—41no—
447C4⋊C4×C47—41no—
448C22⋊C4×C47—22no—
449C22⋊C4×C47—22no—
450C22⋊C4×C47—22no—
451C22⋊C4×C47—22no—
452C22⋊C4×C47—22no—
453C22⋊C4×C47—22no—
454C22⋊C4×C47—22no—
455C22⋊C4×C47—22no—
456C22⋊C4×C47—41no—
457C22⋊C4×C47#4114yes—
458C42×C47—22no—
459C42×C47—22no—
460C42×C47—41no—
461C22⋊Dic47—22no—
462C22⋊Dic47—22no—
463C22⋊Dic47—22no—
464C22⋊Dic47—22no—
465C22⋊Dic47—22no—
466C22⋊Dic47—22no—
467C22⋊Dic47—22no—
468C22⋊Dic47—22no—
469C22⋊Dic47—41no—
470C22⋊Dic47—41no—
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—41no—
481C4⋊Dic47—22no—
482C4⋊Dic47—22no—
483C4⋊Dic47—22no—
484C4⋊Dic47—22no—
485C4⋊Dic47—22no—
486C4⋊Dic47—41no—
487C4⋊Dic47#4114yes—
488Dic47⋊C4—22no—
489Dic47⋊C4—22no—
490Dic47⋊C4—22no—
491Dic47⋊C4—22no—
492Dic47⋊C4—22no—
493Dic47⋊C4—22no—
494Dic47⋊C4—22no—
495Dic47⋊C4—22no—
496Dic47⋊C4—22no—
497Dic47⋊C4—22no—
498Dic47⋊C4—41no—
499Dic47⋊C4—41no—
500Dic47⋊C4—41no—
501Dic47⋊C4—41no—
502Dic47⋊C4—41no—
503Dic47⋊C4#4114yes—
504C4×Dic47—22no—
505C4×Dic47—22no—
506C4×Dic47—22no—
507C4×Dic47—22no—
508C4×Dic47—22no—
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—41no—
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×C47—21no—
534C23×C47—21no—
535C23×C47—21no—
536C23×C47—21no—
537C23×C47—21no—
538C23×C47—21no—
539C23×C47C2×#4112yes—
540C23×C47C2×#4112yes—
541C23×C47C2511yescharacteristic
542C22×D47—21no—
543C22×D47—21no—
544C22×D47—21no—
545C22×D47—21no—
546C22×D47—21no—
547C22×D47—21no—
548C22×D47C2×#4112yes—
549D4×C47—44no—
550C2×C4×C47—28no—
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—21no—
585C2×C4×C47—44no—
586C2×C4×C47C2×#4112yes—
587C2×C4×C47C2×#4112yes—
588C2×C4×C47C2×#4112yes—
589C2×C4×C47C2×#4112yes—
590C2×C4×C47C2×#4112yes—
591C22⋊D47—28no—
592C22⋊D47—44no—
593C2×Dic47—21no—
594C2×Dic47—21no—
595C2×Dic47—21no—
596C2×Dic47—21no—
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—44no—
630C2×Dic47—44no—
631C2×Dic47—44no—
632C2×Dic47—44no—
633C2×Dic47C2×#4112yes—
634C2×Dic47C2×#4112yes—
635C2×Dic47C2×#4112yes—
636C2×Dic47C2×#4112yes—
637C2×Dic47C2×#4112yes—
638C2×Dic47C2×#4112yes—
639C2×Dic47C2×#4112yes—
640C2×Dic47H(5,𝔽2)12yes—
641C2×Dic472−1+412yes—
642C4×D47—44no—
643C4×D47—44no—
644C4×D47—44no—
645Dic94—44no—
646Dic94—44no—
647Dic94—44no—
648#34969—471nomaximal, Sylow
649C22×C47—22no—
650C22×C47—22no—
651C22×C47—22no—
652C22×C47—22no—
653C22×C47—22no—
654C22×C47—22no—
655C22×C47—41no—
656C22×C47—41no—
657C22×C47—41no—
658C22×C47—41no—
659C22×C47—41no—
660C22×C47—41no—
661C22×C47—41no—
662C22×C47—41no—
663C22×C47C22×#4111yescharacteristic
664C22×C47C22×#4111yescharacteristic
665C22×C47C22×#4111yescharacteristic
666C22×C47C22×#4111yescharacteristic
667C22×C47C22×#4111yescharacteristic
668C22×C47C2×H(5,𝔽2)11yescharacteristic
669C22×C47C2×2−1+411yescharacteristic
670C2×D47—22no—
671C2×D47—22no—
672C2×D47—22no—
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—
690Dic47—22no—
691Dic47—22no—
692Dic47—22no—
693Dic47—41no—
694Dic47—41no—
695Dic47—41no—
696Dic47—41no—
697Dic47—41no—
698Dic47—41no—
699Dic47—41no—
700Dic47—41no—
701Dic47—41no—
702Dic47—41no—
703Dic47#52914yes—
704Dic47#54214yes—
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#2470D4711yescharacteristic, complemented
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⋊Q8—471no—
730C4×#123—471no—
731C4×#123—471no—
732C4×#121—471no—
733#2295—471no—
734C42×D4—471no—
735C4×#117—471no—
736C2×C47—42no—
737C2×C47—42no—
738C2×C47C2×#52911yescharacteristic
739C2×C47#344411yescharacteristic
740C2×C47C2×#54211yescharacteristic
741C2×C47#348111yescharacteristic
742C2×C47#348111yescharacteristic
743C2×C47#348211yescharacteristic
744C2×C47#348211yescharacteristic
745D47—42no—
746C2×C4⋊Q8—471no—
747C2×#124—471no—
748C2×#123—471no—
749C2×#123C2×D4711yescharacteristic
750C2×C22⋊Q8—471no—
751C2×C22⋊Q8—471no—
752C2×C22⋊Q8—471no—
753C2×#121—471no—
754C2×C4×Q8—471no—
755C2×C4×Q8—471no—
756C2×C4×Q8—471no—
757C2×C4×D4—471no—
758C2×C4×D4—471no—
759C2×C4×D4—471no—
760C2×C4×D4—471no—
761C2×C4×D4—471no—
762C2×#117—471no—
763C2×#117C2×D4711yescharacteristic
764C22×C42—471no—
765C22×C42—471no—
766C22×C42—471no—
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#400C2×D4711yescharacteristic
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#397C2×D4711yescharacteristic
789#396—471no—
790#396C2×D4711yescharacteristic
791#394—471no—
792#394—471no—
793#394—471no—
794#394C2×D4711yescharacteristic
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#391—471no—
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#389C2×D4711yescharacteristic
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#388C2×D4711yescharacteristic
828#388C2×D4711yescharacteristic
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#387C2×D4711yescharacteristic
843#386—471no—
844#386—471no—
845#386—471no—
846#386C2×D4711yescharacteristic
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#380—471no—
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⋊C4—471no—
875C4×C4⋊C4—471no—
876C4×C4⋊C4—471no—
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⋊C4—471no—
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×Q8—471no—
905C22×D4—471no—
906C22×D4—471no—
907C22×D4C22×D4711yescharacteristic
908C23×C4—471no—
909C23×C4—471no—
910C23×C4—471no—
911C23×C4—471no—
912C23×C4—471no—
913C23×C4—471no—
914C23×C4—471no—
915C23×C4C22×D4711yescharacteristic
916C23×C4C22×D4711yescharacteristic
917C4⋊Q8—944no—
918#124—944no—
919#123—24no—
920#123—944no—
921C22⋊Q8—944no—
922C22⋊Q8—944no—
923C22⋊Q8—944no—
924#121—944no—
925C4×Q8—944no—
926C4×Q8—1882no—
927C4×Q8—1882no—
928C4×D4—944no—
929C4×D4—944no—
930C4×D4—944no—
931C4×D4—1882no—
932C4×D4—1882no—
933#117—24no—
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⋊C4C22×D4711yescharacteristic
988C2×C22⋊C4C22×D4711yescharacteristic
989C2×C22⋊C4C22×D4711yescharacteristic
990C2×C22⋊C4C22×D4711yescharacteristic
991C2×C22⋊C4C22×D4711yescharacteristic
992C2×C22⋊C4C22×D4711yescharacteristic
993C2×C22⋊C4C22×D4711yescharacteristic
994C2×C22⋊C4C22×D4711yescharacteristic
995C2×C22⋊C4C22×D4711yescharacteristic
996C2×C22⋊C4C22×D4711yescharacteristic
997C2×C42—471no—
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—471no—
1017C2×C42—471no—
1018C2×C42—471no—
1019C2×C42—471no—
1020C2×C42—944no—
1021C2×C42—1882no—
1022C2×C42—1882no—
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—
1079C24C23×D4711yescharacteristic
1080C24C23×D4711yescharacteristic
1081C2×Q8—942no—
1082C2×Q8—942no—
1083C2×Q8—942no—
1084C2×Q8—942no—
1085C2×Q8—942no—
1086C2×Q8—942no—
1087C2×Q8—942no—
1088C2×Q8—1881no—
1089C2×Q8—1881no—
1090C2×D4—22no—
1091C2×D4—22no—
1092C2×D4—41no—
1093C2×D4—474no—
1094C2×D4—942no—
1095C2×D4—942no—
1096C2×D4—942no—
1097C2×D4—942no—
1098C2×D4—1881no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—41no—
1105C22×C4—471no—
1106C22×C4—471no—
1107C22×C4—471no—
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—942no—
1121C22×C4—942no—
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×C4—1881no—
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—22no—
1160C4⋊C4—22no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—474no—
1164C4⋊C4—474no—
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—1881no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—41no—
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#1062535214yes—
1216C42—22no—
1217C42—22no—
1218C42—41no—
1219C42—474no—
1220C42—942no—
1221C42—942no—
1222C42—942no—
1223C42—942no—
1224C42—942no—
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—1881no—
1240C42—1881no—
1241C42—1881no—
1242C23—21no—
1243C23—21no—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—472no—
1255C23—941no—
1256C23—941no—
1257C23—941no—
1258C23—941no—
1259C23—941no—
1260C23—941no—
1261C23#41×D4712yes—
1262C23C2×#1062535212yes—
1263C23C24×D4711yescharacteristic
1264Q8—1884no—
1265Q8—1884no—
1266Q8—1884no—
1267D4—44no—
1268D4—948no—
1269D4—1884no—
1270C2×C4—28no—
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—21no—
1305C2×C4—44no—
1306C2×C4—472no—
1307C2×C4—472no—
1308C2×C4—472no—
1309C2×C4—472no—
1310C2×C4—472no—
1311C2×C4—472no—
1312C2×C4—472no—
1313C2×C4—472no—
1314C2×C4—472no—
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—941no—
1351C2×C4—1884no—
1352C2×C4—1884no—
1353C2×C4—1884no—
1354C2×C4—1884no—
1355C2×C4—1884no—
1356C2×C4—1884no—
1357C2×C4—1884no—
1358C2×C4#41×D4712yes—
1359C2×C4#41×D4712yes—
1360C2×C4#41×D4712yes—
1361C2×C4C2×#1062535212yes—
1362C2×C4C2×#1062535212yes—
1363C22—22no—
1364C22—22no—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—22no—
1369C22—41no—
1370C22—41no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—942no—
1378C22—942no—
1379C22—942no—
1380C22—1881no—
1381C22—1881no—
1382C22—1881no—
1383C22—1881no—
1384C22C2×#41×D4711yescharacteristic
1385C22C2×#41×D4711yescharacteristic
1386C22C2×#41×D4711yescharacteristic
1387C22C2×#41×D4711yescharacteristic
1388C22C22×#1062535211yescharacteristic
1389C22H(5,𝔽2)×D4711yescharacteristic
1390C222−1+4×D4711yescharacteristic
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—474no—
1406C4—942no—
1407C4—942no—
1408C4—942no—
1409C4—1881no—
1410C4—1881no—
1411C4—1881no—
1412C4—1881no—
1413C4—1881no—
1414C4—1881no—
1415C4—1881no—
1416C4—1881no—
1417C4—1881no—
1418C4—1881no—
1419C2—42no—
1420C2—42no—
1421C2—1882no—
1422C2#529×D4711yescharacteristic
1423C2#2025668011yescharacteristic
1424C2#542×D4711yescharacteristic
1425C2#2025699311yescharacteristic
1426C2#2025699511yescharacteristic
1427C2#2025700011yescharacteristic
1428C2#2025700211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2470C2
prime radicalC2×#13093996C22
hypercenter#2470D47
hypocenterC47#34969
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2470

Complements

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

NH ≅ G/Ntype
1. #20248227C2semidirect
2. #20248225C2semidirect
3. #20248177C2semidirect
4. #20248175C2semidirect
5. #20247956C2semidirect
6. #20247934C2semidirect
7. #20247781C2semidirect
8. #20247759C2semidirect
9. #20247588C2semidirect
10. #20247586C2semidirect
11. #20247478C2semidirect
12. #20247231C2semidirect
13. #20247172C2semidirect
16. #20246690C2semidirect
17. #20246687C2semidirect
18. #20246676C2semidirect
19. #20246673C2semidirect
20. #20245959C2semidirect
21. #20245929C2semidirect
22. #20245920C2semidirect
23. #20245920C2semidirect
24. #20245918C2semidirect
25. #20245915C2semidirect
26. #123×Dic47C2semidirect
28. #20245861C2semidirect
29. C4×(C22⋊D47)⋊C4C2semidirect
30. #117×Dic47C2semidirect
31. C47×#2470C2semidirect
716. #2470D47semidirect
901. C47#34969semidirect

Maximal subgroups

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

subgroupindex
#202482272
#202482252
#202481772
#202481752
#202479562
#202479342
#202477812
#202477592
#202475882
#202475862
#202474782
#202472312
#202471722
#202469582
#202468992
#202466902
#202466872
#202466762
#202466732
#202459592
#202459292
#202459202
#202459182
#202459152
#123×Dic472
#202458982
#202458612
C4×(C22⋊D47)⋊C42
#117×Dic472
C47×#24702
#3496947