Finite Group Databasebeta

← #26383150

Subgroups — #26383150

Order 12032.

1760 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20249561C211yesmaximal, characteristic, complemented
2#20249559C211yesmaximal, characteristic, complemented
3#20249538C211yesmaximal, characteristic, complemented
4#20249535C211yesmaximal, characteristic, complemented
5#20249484C211yesmaximal, characteristic, complemented
6#20249481C211yesmaximal, characteristic, complemented
7#20249453C211yesmaximal, characteristic, complemented
8#20249446C211yesmaximal, characteristic, complemented
9#20249438C211yesmaximal, characteristic, complemented
10#20249429C211yesmaximal, characteristic, complemented
11#20249407C211yesmaximal, characteristic, complemented
12#20249406C211yesmaximal, characteristic, complemented
13#20249305C211yesmaximal, characteristic, complemented
14#20249304C211yesmaximal, characteristic, complemented
15#20249224C211yesmaximal, characteristic
16#20246690C211yesmaximal, characteristic, complemented
17#20246685C211yesmaximal, characteristic, complemented
18#20246680C211yesmaximal, characteristic, complemented
19#20246676C211yesmaximal, characteristic, complemented
20#20246676C211yesmaximal, characteristic, complemented
21#20246676C211yesmaximal, characteristic, complemented
22#20246663C211yesmaximal, characteristic, complemented
23#20246623C211yesmaximal, characteristic
24#20245920C211yesmaximal, characteristic, complemented
25#20245916C211yesmaximal, characteristic, complemented
26#20245913C211yesmaximal, characteristic, complemented
27#123×Dic47C211yesmaximal, characteristic, complemented
28#20245882C211yesmaximal, characteristic, complemented
29#20245861C211yesmaximal, characteristic, complemented
30C4×D4×Dic47C211yesmaximal, characteristic, complemented
31C47×#2630C211yesmaximal, characteristic
32C2×#13094005C2211yescharacteristic
33C2×#13094003C2211yescharacteristic
34C2×#13094001C2211yescharacteristic
35C2×#13093989C2211yescharacteristic
36C2×#13093989C2211yescharacteristic
37C2×#13093989C2211yescharacteristic
38C2×D4×Dic47C2211yescharacteristic
39C2×D4×Dic47C2211yescharacteristic
40C2×D4×Dic47C2211yescharacteristic
41C2×D4×Dic47C2211yescharacteristic
42C2×#13093980C2211yescharacteristic
43C22×C4×Dic47C2211yescharacteristic
44C22×C4×Dic47C2211yescharacteristic
45C47⋊#401C2211yescharacteristic
46C47⋊#401C2211yescharacteristic
47#15689065C2211yescharacteristic
48#15689064C2211yescharacteristic
49#15689064C2211yescharacteristic
50#15689063C2211yescharacteristic
51#15689063C2211yescharacteristic
52#15689063C2211yescharacteristic
53#15689062C2211yescharacteristic
54#15689062C2211yescharacteristic
55#15689062C2211yescharacteristic
56#15689062C2211yescharacteristic
57#15689062C2211yescharacteristic
58#15689062C2211yescharacteristic
59#15689061C2211yescharacteristic
60#15689059C2211yescharacteristic
61#15689057C2211yescharacteristic
62#15689057C2211yescharacteristic
63#15689056C2211yescharacteristic
64#15689055C2211yescharacteristic
65#15689054C2211yescharacteristic
66#15689053C2211yescharacteristic
67#15689051C2211yescharacteristic
68#15689051C2211yescharacteristic
69#15689051C2211yescharacteristic
70#15689051C2211yescharacteristic
71#15689051C2211yescharacteristic
72#15689051C2211yescharacteristic
73#15689051C2211yescharacteristic
74#15689051C2211yescharacteristic
75#15689048C2211yescharacteristic
76#15689048C2211yescharacteristic
77#15689048C2211yescharacteristic
78#15689048C2211yescharacteristic
79#15689046C2211yescharacteristic
80#15689046C2211yescharacteristic
81#15689046C2211yescharacteristic
82#15689046C2211yescharacteristic
83#15689044C2211yescharacteristic
84#15689043C2211yescharacteristic
85#15689043C2211yescharacteristic
86#15689043C2211yescharacteristic
87#15689043C2211yescharacteristic
88#15689037C2211yescharacteristic
89#15689037C2211yescharacteristic
90#15689037C2211yescharacteristic
91#15689037C2211yescharacteristic
92#15689037C2211yescharacteristic
93#15689037C2211yescharacteristic
94#15689035C2211yescharacteristic
95#15689035C2211yescharacteristic
96#15689035C2211yescharacteristic
97#15689035C2211yescharacteristic
98#15689035C2211yescharacteristic
99#15689035C2211yescharacteristic
100#15689035C2211yescharacteristic
101#15689028C2211yescharacteristic
102#15689027C2211yescharacteristic
103#15689027C2211yescharacteristic
104#15689027C2211yescharacteristic
105#15689020C2211yescharacteristic
106#15689019C2211yescharacteristic
107#15689018C2211yescharacteristic
108#15689018C2211yescharacteristic
109#15689017C2211yescharacteristic
110#15689017C2211yescharacteristic
111#15689017C2211yescharacteristic
112#15689016C2211yescharacteristic
113#15689016C2211yescharacteristic
114#15689016C2211yescharacteristic
115#15689011C2211yescharacteristic
116#15689010C2211yescharacteristic
117#15689010C2211yescharacteristic
118#15689010C2211yescharacteristic
119#15689009C2211yescharacteristic
120#15689009C2211yescharacteristic
121#15689009C2211yescharacteristic
122#15689008C2211yescharacteristic
123#15689007C2211yescharacteristic
124#15689007C2211yescharacteristic
125#15689005C2211yescharacteristic
126#15689005C2211yescharacteristic
127#15689005C2211yescharacteristic
128#15689005C2211yescharacteristic
129#15689004C2211yescharacteristic
130#15689004C2211yescharacteristic
131#15689003C2211yescharacteristic
132#15688998C2211yescharacteristic
133#15688996C2211yescharacteristic
134#15688996C2211yescharacteristic
135#15688995C2211yescharacteristic
136#15688995C2211yescharacteristic
137#15688986C2211yescharacteristic
138#15688984C2211yescharacteristic
139#15688981C2211yescharacteristic
140C4⋊C4×Dic47C2211yescharacteristic
141C4⋊C4×Dic47C2211yescharacteristic
142C4⋊C4×Dic47C2211yescharacteristic
143C4⋊C4×Dic47C2211yescharacteristic
144C4⋊C4×Dic47C2211yescharacteristic
145C4⋊C4×Dic47C2211yescharacteristic
146C4×C4⋊Dic47C2211yescharacteristic
147#15688974C2211yescharacteristic
148#15688974C2211yescharacteristic
149#15688974C2211yescharacteristic
150#15688974C2211yescharacteristic
151#15688974C2211yescharacteristic
152C22⋊C4×Dic47C2211yescharacteristic
153C22⋊C4×Dic47C2211yescharacteristic
154C22⋊C4×Dic47C2211yescharacteristic
155C22⋊C4×Dic47C2211yescharacteristic
156C22⋊C4×Dic47C2211yescharacteristic
157C22⋊C4×Dic47C2211yescharacteristic
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic
160C22⋊C4×Dic47C2211yescharacteristic
161C22⋊C4×Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C22⋊C4×Dic47C2211yescharacteristic
165C22⋊C4×Dic47C2211yescharacteristic
166C4×C22⋊Dic47C2211yescharacteristic
167C4×C22⋊Dic47C2211yescharacteristic
168#15688968C2211yescharacteristic
169#15688968C2211yescharacteristic
170#15688968C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C2×#123×C47C2211yescharacteristic
173C2×C4×D4×C47C2211yescharacteristic
174C47×#398C2211yescharacteristic
175C47×#397C2211yescharacteristic
176C47×#396C2211yescharacteristic
177C47×#396C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#394C2211yescharacteristic
180C47×#394C2211yescharacteristic
181C47×#392C2211yescharacteristic
182C47×#388C2211yescharacteristic
183C47×#387C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C47×#380C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C23×Dic47C2311yescharacteristic
191C23×Dic47C2311yescharacteristic
192C23×Dic47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195#13094005—24no—
196#13094003—24no—
197#13094001—24no—
198#13093989—24no—
199#13093989—42no—
200#13093989—42no—
201D4×Dic47—24no—
202D4×Dic47—24no—
203D4×Dic47—42no—
204D4×Dic47—42no—
205#13093980—24no—
206C2×C4⋊Dic47C2311yescharacteristic
207C2×C4⋊Dic47C2311yescharacteristic
208C2×C4⋊Dic47C2311yescharacteristic
209C2×C4⋊Dic47C2311yescharacteristic
210C2×C4⋊Dic47C2311yescharacteristic
211C2×C4⋊Dic47C2311yescharacteristic
212C2×C4⋊Dic47C2311yescharacteristic
213C2×C4⋊Dic47C2311yescharacteristic
214C2×Dic47⋊C4C2311yescharacteristic
215C2×Dic47⋊C4C2311yescharacteristic
216C2×Dic47⋊C4C2311yescharacteristic
217C2×Dic47⋊C4C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
232C2×C22⋊Dic47C2311yescharacteristic
233C2×C22⋊Dic47C2311yescharacteristic
234C2×C22⋊Dic47C2311yescharacteristic
235C2×C22⋊Dic47C2311yescharacteristic
236C2×C22⋊Dic47C2311yescharacteristic
237C2×C22⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C4×Dic47—42no—
252C2×C4×Dic47—42no—
253C2×C4×Dic47C2311yescharacteristic
254C2×C4×Dic47C2311yescharacteristic
255C2×C4×Dic47C2311yescharacteristic
256C2×C4×Dic47C2311yescharacteristic
257C2×C4×Dic47C2311yescharacteristic
258C2×C4×Dic47C2311yescharacteristic
259C2×C4×Dic47C2311yescharacteristic
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
272C47⋊#95C2311yescharacteristic
273C47⋊#95C2311yescharacteristic
274C47⋊#95C2311yescharacteristic
275C47⋊#95C2311yescharacteristic
276C47⋊#95C2311yescharacteristic
277C47⋊#95C2311yescharacteristic
278C47⋊#95C2311yescharacteristic
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
319C47⋊#95C2311yescharacteristic
320C22×D4×C47C2311yescharacteristic
321C22×D4×C47C2311yescharacteristic
322C22×D4×C47C2311yescharacteristic
323C23×C4×C47C2311yescharacteristic
324C23×C4×C47C2311yescharacteristic
325#123×C47—24no—
326C4×D4×C47—24no—
327C2×C4⋊C4×C47C2311yescharacteristic
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×C22⋊C4×C47C2311yescharacteristic
336C2×C22⋊C4×C47C2311yescharacteristic
337C2×C22⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C42×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357C24×C47C2411yescharacteristic
358C24×C47C2411yescharacteristic
359C24×C47C2411yescharacteristic
360C2×D4×C47—22no—
361C2×D4×C47—22no—
362C2×D4×C47—22no—
363C2×D4×C47—22no—
364C2×D4×C47—22no—
365C2×D4×C47—41no—
366C2×D4×C47—41no—
367C2×D4×C47—41no—
368C2×D4×C47—41no—
369C22×C4×C47—22no—
370C22×C4×C47—41no—
371C22×C4×C47—41no—
372C22×C4×C47—41no—
373C22×C4×C47—41no—
374C22×C4×C47#4114yes—
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×Dic47—22no—
388C22×Dic47—22no—
389C22×Dic47—22no—
390C22×Dic47—22no—
391C22×Dic47—22no—
392C22×Dic47—22no—
393C22×Dic47—22no—
394C22×Dic47—22no—
395C22×Dic47—22no—
396C22×Dic47—22no—
397C22×Dic47—41no—
398C22×Dic47—41no—
399C22×Dic47—41no—
400C22×Dic47—41no—
401C22×Dic47#4114yes—
402C22×Dic47C2411yescharacteristic
403C22×Dic47C2411yescharacteristic
404C22×Dic47C2411yescharacteristic
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×Dic94—22no—
419C2×Dic94—22no—
420C2×Dic94—22no—
421C2×Dic94—41no—
422C2×Dic94—41no—
423C2×Dic94—41no—
424C2×Dic94—41no—
425C2×Dic94—41no—
426C2×Dic94—41no—
427C4⋊C4×C47—22no—
428C4⋊C4×C47—22no—
429C4⋊C4×C47—22no—
430C4⋊C4×C47—22no—
431C4⋊C4×C47—41no—
432C4⋊C4×C47—41no—
433C4⋊C4×C47—41no—
434C4⋊C4×C47—41no—
435C22⋊C4×C47—22no—
436C22⋊C4×C47—22no—
437C22⋊C4×C47—22no—
438C22⋊C4×C47—22no—
439C22⋊C4×C47—22no—
440C22⋊C4×C47—22no—
441C22⋊C4×C47—22no—
442C22⋊C4×C47—41no—
443C22⋊C4×C47—41no—
444C22⋊C4×C47—41no—
445C22⋊C4×C47—41no—
446C22⋊C4×C47—41no—
447C22⋊C4×C47—41no—
448C42×C47—22no—
449C22⋊Dic47—22no—
450C22⋊Dic47—22no—
451C22⋊Dic47—22no—
452C22⋊Dic47—22no—
453C22⋊Dic47—22no—
454C22⋊Dic47—22no—
455C22⋊Dic47—22no—
456C22⋊Dic47—22no—
457C22⋊Dic47—22no—
458C22⋊Dic47—22no—
459C22⋊Dic47—22no—
460C22⋊Dic47—41no—
461C22⋊Dic47—41no—
462C22⋊Dic47—41no—
463C22⋊Dic47—41no—
464C22⋊Dic47—41no—
465C22⋊Dic47—41no—
466C22⋊Dic47—41no—
467C22⋊Dic47—41no—
468C4⋊Dic47—22no—
469C4⋊Dic47—22no—
470C4⋊Dic47—22no—
471C4⋊Dic47—22no—
472C4⋊Dic47—41no—
473C4⋊Dic47—41no—
474C4⋊Dic47—41no—
475C4⋊Dic47—41no—
476Dic47⋊C4—22no—
477Dic47⋊C4—22no—
478Dic47⋊C4—22no—
479Dic47⋊C4—22no—
480Dic47⋊C4—22no—
481Dic47⋊C4—22no—
482Dic47⋊C4—22no—
483Dic47⋊C4—22no—
484Dic47⋊C4—22no—
485Dic47⋊C4—22no—
486Dic47⋊C4—41no—
487Dic47⋊C4—41no—
488Dic47⋊C4—41no—
489Dic47⋊C4—41no—
490Dic47⋊C4—41no—
491Dic47⋊C4—41no—
492Dic47⋊C4—41no—
493Dic47⋊C4—41no—
494C4×Dic47—22no—
495C4×Dic47—22no—
496C4×Dic47—22no—
497C4×Dic47—22no—
498C4×Dic47—22no—
499C4×Dic47—22no—
500C4×Dic47—22no—
501C4×Dic47—22no—
502C4×Dic47—22no—
503C4×Dic47—22no—
504C4×Dic47—22no—
505C4×Dic47—22no—
506C4×Dic47—41no—
507C4×Dic47—41no—
508C4×Dic47—41no—
509C4×Dic47—41no—
510C4×Dic47—41no—
511C4×Dic47—41no—
512C4×Dic47#4114yes—
513C23×C47—21no—
514C23×C47—21no—
515C23×C47—21no—
516C23×C47—21no—
517C23×C47—21no—
518C23×C47—21no—
519C23×C47—21no—
520C23×C47—21no—
521C23×C47—21no—
522C23×C47—21no—
523C23×C47—21no—
524C23×C47—21no—
525C23×C47—21no—
526C23×C47—21no—
527C23×C47—21no—
528C23×C47—21no—
529C23×C47—21no—
530C23×C47—21no—
531C23×C47—21no—
532C23×C47C2×#4112yes—
533C23×C47C2×#4112yes—
534C23×C47C2511yescharacteristic
535D4×C47—28no—
536D4×C47—44no—
537D4×C47—44no—
538C2×C4×C47—21no—
539C2×C4×C47—21no—
540C2×C4×C47—21no—
541C2×C4×C47—21no—
542C2×C4×C47—21no—
543C2×C4×C47—21no—
544C2×C4×C47—21no—
545C2×C4×C47—21no—
546C2×C4×C47—21no—
547C2×C4×C47—21no—
548C2×C4×C47—21no—
549C2×C4×C47—21no—
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—44no—
572C2×C4×C47—44no—
573C2×C4×C47C2×#4112yes—
574C2×C4×C47C2×#4112yes—
575C2×C4×C47C2×#4112yes—
576C2×Dic47—21no—
577C2×Dic47—21no—
578C2×Dic47—21no—
579C2×Dic47—21no—
580C2×Dic47—21no—
581C2×Dic47—21no—
582C2×Dic47—21no—
583C2×Dic47—21no—
584C2×Dic47—21no—
585C2×Dic47—21no—
586C2×Dic47—21no—
587C2×Dic47—21no—
588C2×Dic47—21no—
589C2×Dic47—21no—
590C2×Dic47—21no—
591C2×Dic47—21no—
592C2×Dic47—21no—
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—44no—
619C2×Dic47—44no—
620C2×Dic47—44no—
621C2×Dic47—44no—
622C2×Dic47—44no—
623C2×Dic47C2×#4112yes—
624C2×Dic47C2×#4112yes—
625C2×Dic47C2×#4112yes—
626C2×Dic47C2×#4112yes—
627C2×Dic47H(5,𝔽2)12yes—
628C2×Dic472−1+412yes—
629Dic94—44no—
630Dic94—44no—
631Dic94—44no—
632#34596—471nomaximal, Sylow
633C22×C47—22no—
634C22×C47—22no—
635C22×C47—22no—
636C22×C47—22no—
637C22×C47—22no—
638C22×C47—22no—
639C22×C47—41no—
640C22×C47—41no—
641C22×C47—41no—
642C22×C47—41no—
643C22×C47—41no—
644C22×C47—41no—
645C22×C47—41no—
646C22×C47—41no—
647C22×C47—41no—
648C22×C47—41no—
649C22×C47—41no—
650C22×C47—41no—
651C22×C47—41no—
652C22×C47—41no—
653C22×C47—41no—
654C22×C47C22×#4111yescharacteristic
655C22×C47C22×#4111yescharacteristic
656C22×C47C22×#4111yescharacteristic
657C22×C47C2×H(5,𝔽2)11yescharacteristic
658C22×C47C2×2−1+411yescharacteristic
659C22×C47#58511yescharacteristic
660C22×C47#58511yescharacteristic
661C4×C47—22no—
662C4×C47—22no—
663C4×C47—22no—
664C4×C47—41no—
665C4×C47—41no—
666C4×C47—41no—
667C4×C47—41no—
668C4×C47—41no—
669C4×C47—41no—
670C4×C47—41no—
671C4×C47—41no—
672C4×C47—41no—
673Dic47—22no—
674Dic47—22no—
675Dic47—22no—
676Dic47—41no—
677Dic47—41no—
678Dic47—41no—
679Dic47—41no—
680Dic47—41no—
681Dic47—41no—
682Dic47—41no—
683Dic47—41no—
684Dic47—41no—
685Dic47—41no—
686Dic47—41no—
687Dic47—41no—
688Dic47#54214yes—
689#2665—471no—
690#2665—471no—
691#2663—471no—
692#2663—471no—
693#2655—471no—
694#2655—471no—
695#2653—471no—
696#2653—471no—
697#2652—471no—
698#2652—471no—
699#2650—471no—
700#2650—471no—
701#2638—471no—
702#2638—471no—
703#2630—471no—
704#2630D4711yescharacteristic
705#2401—471no—
706#2401—471no—
707#2399—471no—
708#2398—471no—
709#2398—471no—
710#2398—471no—
711#2396—471no—
712#2392—471no—
713C4×C22⋊Q8—471no—
714C4×C22⋊Q8—471no—
715C4×#123—471no—
716C4×#123—471no—
717#2298—471no—
718#2295—471no—
719C42×D4—471no—
720C2×C47—42no—
721C2×C47—42no—
722C2×C47—81no—
723C2×C47#344411yescharacteristic
724C2×C47C2×#54211yescharacteristic
725C2×C47#345511yescharacteristic
726C2×C47#345911yescharacteristic
727C2×C47#345911yescharacteristic
728C2×C47#346111yescharacteristic
729C2×C47#346111yescharacteristic
730C2×#123—471no—
731C2×#123C2×D4711yescharacteristic
732C2×C22⋊Q8—471no—
733C2×C22⋊Q8—471no—
734C2×C4×Q8—471no—
735C2×C4×Q8—471no—
736C2×C4×Q8—471no—
737C2×C4×D4—471no—
738C2×C4×D4—471no—
739C2×C4×D4—471no—
740C2×C4×D4—471no—
741C2×C4×D4C2×D4711yescharacteristic
742C2×#117—471no—
743C22×C42—471no—
744C22×C42—471no—
745#401—471no—
746#401—471no—
747#400—471no—
748#400—471no—
749#400—471no—
750#400—471no—
751#400—471no—
752#400—471no—
753#400—471no—
754#400—471no—
755#400—471no—
756#400—471no—
757#400—471no—
758#400—471no—
759#400—471no—
760#399—471no—
761#398—471no—
762#398—471no—
763#398—471no—
764#398—471no—
765#398—471no—
766#398—471no—
767#398C2×D4711yescharacteristic
768#397—471no—
769#397—471no—
770#397—471no—
771#397—471no—
772#397—471no—
773#397—471no—
774#397—471no—
775#397—471no—
776#397—471no—
777#397—471no—
778#397—471no—
779#397—471no—
780#397C2×D4711yescharacteristic
781#396—471no—
782#396—471no—
783#396—471no—
784#396—471no—
785#396C2×D4711yescharacteristic
786#396C2×D4711yescharacteristic
787#395—471no—
788#395—471no—
789#395—471no—
790#395—471no—
791#395—471no—
792#394—471no—
793#394—471no—
794#394—471no—
795#394—471no—
796#394—471no—
797#394—471no—
798#394C2×D4711yescharacteristic
799#394C2×D4711yescharacteristic
800#394C2×D4711yescharacteristic
801#393—471no—
802#393—471no—
803#393—471no—
804#393—471no—
805#393—471no—
806#393—471no—
807#393—471no—
808#392C2×D4711yescharacteristic
809#391—471no—
810#391—471no—
811#391—471no—
812#391—471no—
813#389—471no—
814#389—471no—
815#389—471no—
816#389—471no—
817#388—471no—
818#388—471no—
819#388—471no—
820#388—471no—
821#388—471no—
822#388—471no—
823#388—471no—
824#388C2×D4711yescharacteristic
825#387—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#387C2×D4711yescharacteristic
841#386—471no—
842#386C2×D4711yescharacteristic
843#385—471no—
844#385—471no—
845#385—471no—
846#385—471no—
847#385—471no—
848#385C2×D4711yescharacteristic
849#381—471no—
850#381—471no—
851#380—471no—
852#380C2×D4711yescharacteristic
853C4×C4⋊C4—471no—
854C4×C4⋊C4—471no—
855C4×C4⋊C4—471no—
856C4×C4⋊C4—471no—
857C4×C4⋊C4—471no—
858C4×C4⋊C4—471no—
859C4×C4⋊C4—471no—
860C4×C4⋊C4—471no—
861C4×C4⋊C4—471no—
862C4×C4⋊C4—471no—
863C4×C4⋊C4—471no—
864C4×C4⋊C4—471no—
865C4×C22⋊C4—471no—
866C4×C22⋊C4—471no—
867C4×C22⋊C4—471no—
868C4×C22⋊C4—471no—
869C4×C22⋊C4—471no—
870C4×C22⋊C4—471no—
871C4×C22⋊C4—471no—
872C4×C22⋊C4—471no—
873C4×C22⋊C4—471no—
874C4×C22⋊C4—471no—
875C4×C22⋊C4—471no—
876C4×C22⋊C4—471no—
877C4×C22⋊C4—471no—
878C4×C22⋊C4—471no—
879C4×C22⋊C4—471no—
880C4×C22⋊C4—471no—
881#376—471no—
882#376—471no—
883#376—471no—
884C43—471no—
885C47#3459611yescharacteristic, complemented, Sylow
886C22×Q8—471no—
887C22×Q8—471no—
888C22×Q8—471no—
889C22×D4C22×D4711yescharacteristic
890C22×D4C22×D4711yescharacteristic
891C22×D4C22×D4711yescharacteristic
892C23×C4—471no—
893C23×C4—471no—
894C23×C4—471no—
895C23×C4—471no—
896C23×C4—471no—
897C23×C4C22×D4711yescharacteristic
898C23×C4C22×D4711yescharacteristic
899#123—24no—
900#123—944no—
901C22⋊Q8—944no—
902C22⋊Q8—944no—
903C4×Q8—944no—
904C4×Q8—1882no—
905C4×Q8—1882no—
906C4×D4—24no—
907C4×D4—944no—
908C4×D4—944no—
909C4×D4—1882no—
910C4×D4—1882no—
911#117—944no—
912C2×C4⋊C4—471no—
913C2×C4⋊C4—471no—
914C2×C4⋊C4—471no—
915C2×C4⋊C4—471no—
916C2×C4⋊C4—471no—
917C2×C4⋊C4—471no—
918C2×C4⋊C4—471no—
919C2×C4⋊C4—471no—
920C2×C4⋊C4—471no—
921C2×C4⋊C4—471no—
922C2×C4⋊C4—471no—
923C2×C4⋊C4—471no—
924C2×C4⋊C4—471no—
925C2×C4⋊C4—471no—
926C2×C4⋊C4—471no—
927C2×C4⋊C4—471no—
928C2×C4⋊C4—471no—
929C2×C4⋊C4—471no—
930C2×C4⋊C4—471no—
931C2×C4⋊C4—471no—
932C2×C4⋊C4—471no—
933C2×C4⋊C4—471no—
934C2×C4⋊C4—471no—
935C2×C4⋊C4—471no—
936C2×C4⋊C4—471no—
937C2×C4⋊C4—471no—
938C2×C4⋊C4C22×D4711yescharacteristic
939C2×C4⋊C4C22×D4711yescharacteristic
940C2×C4⋊C4C22×D4711yescharacteristic
941C2×C4⋊C4C22×D4711yescharacteristic
942C2×C4⋊C4C22×D4711yescharacteristic
943C2×C4⋊C4C22×D4711yescharacteristic
944C2×C4⋊C4C22×D4711yescharacteristic
945C2×C4⋊C4C22×D4711yescharacteristic
946C2×C22⋊C4—471no—
947C2×C22⋊C4—471no—
948C2×C22⋊C4—471no—
949C2×C22⋊C4—471no—
950C2×C22⋊C4—471no—
951C2×C22⋊C4—471no—
952C2×C22⋊C4—471no—
953C2×C22⋊C4—471no—
954C2×C22⋊C4—471no—
955C2×C22⋊C4—471no—
956C2×C22⋊C4—471no—
957C2×C22⋊C4—471no—
958C2×C22⋊C4—471no—
959C2×C22⋊C4—471no—
960C2×C22⋊C4—471no—
961C2×C22⋊C4—471no—
962C2×C22⋊C4—471no—
963C2×C22⋊C4—471no—
964C2×C22⋊C4—471no—
965C2×C22⋊C4C22×D4711yescharacteristic
966C2×C22⋊C4C22×D4711yescharacteristic
967C2×C22⋊C4C22×D4711yescharacteristic
968C2×C22⋊C4C22×D4711yescharacteristic
969C2×C22⋊C4C22×D4711yescharacteristic
970C2×C22⋊C4C22×D4711yescharacteristic
971C2×C22⋊C4C22×D4711yescharacteristic
972C2×C22⋊C4C22×D4711yescharacteristic
973C2×C22⋊C4C22×D4711yescharacteristic
974C2×C22⋊C4C22×D4711yescharacteristic
975C2×C22⋊C4C22×D4711yescharacteristic
976C2×C22⋊C4C22×D4711yescharacteristic
977C2×C22⋊C4C22×D4711yescharacteristic
978C2×C42—471no—
979C2×C42—471no—
980C2×C42—471no—
981C2×C42—471no—
982C2×C42—471no—
983C2×C42—471no—
984C2×C42—471no—
985C2×C42—471no—
986C2×C42—471no—
987C2×C42—471no—
988C2×C42—471no—
989C2×C42—471no—
990C2×C42—471no—
991C2×C42—471no—
992C2×C42—471no—
993C2×C42—471no—
994C2×C42—471no—
995C2×C42—471no—
996C2×C42—471no—
997C2×C42—1882no—
998C2×C42—1882no—
999C2×C42C22×D4711yescharacteristic
1000#95—471no—
1001#95—471no—
1002#95—471no—
1003#95—471no—
1004#95—471no—
1005#95—471no—
1006#95—471no—
1007#95—471no—
1008#95—471no—
1009#95—471no—
1010#95—471no—
1011#95—471no—
1012#95—471no—
1013#95—471no—
1014#95—471no—
1015#95—471no—
1016#95—471no—
1017#95—471no—
1018#95—471no—
1019#95—471no—
1020#95—471no—
1021#95—471no—
1022#95—471no—
1023#95—471no—
1024#95—471no—
1025#95—471no—
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#95C22×D4711yescharacteristic
1049#95C22×D4711yescharacteristic
1050#95C22×D4711yescharacteristic
1051#95C22×D4711yescharacteristic
1052#95C22×D4711yescharacteristic
1053#95C22×D4711yescharacteristic
1054#95C22×D4711yescharacteristic
1055#95C22×D4711yescharacteristic
1056C24C23×D4711yescharacteristic
1057C24C23×D4711yescharacteristic
1058C24C23×D4711yescharacteristic
1059C2×Q8—942no—
1060C2×Q8—942no—
1061C2×Q8—942no—
1062C2×Q8—1881no—
1063C2×Q8—1881no—
1064C2×Q8—1881no—
1065C2×Q8—1881no—
1066C2×Q8—1881no—
1067C2×Q8—1881no—
1068C2×D4—22no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—22no—
1072C2×D4—22no—
1073C2×D4—41no—
1074C2×D4—41no—
1075C2×D4—41no—
1076C2×D4—41no—
1077C22×C4—22no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—471no—
1083C22×C4—471no—
1084C22×C4—471no—
1085C22×C4—471no—
1086C22×C4—474no—
1087C22×C4—471no—
1088C22×C4—471no—
1089C22×C4—471no—
1090C22×C4—471no—
1091C22×C4—471no—
1092C22×C4—471no—
1093C22×C4—471no—
1094C22×C4—471no—
1095C22×C4—471no—
1096C22×C4—471no—
1097C22×C4—471no—
1098C22×C4—471no—
1099C22×C4—942no—
1100C22×C4—942no—
1101C22×C4—942no—
1102C22×C4—942no—
1103C22×C4—942no—
1104C22×C4—942no—
1105C22×C4—942no—
1106C22×C4—942no—
1107C22×C4—942no—
1108C22×C4—942no—
1109C22×C4—1881no—
1110C22×C4—1881no—
1111C22×C4—1881no—
1112C22×C4—1881no—
1113C22×C4#1062535214yes—
1114C22×C4C23×D4711yescharacteristic
1115C22×C4C23×D4711yescharacteristic
1116C22×C4C23×D4711yescharacteristic
1117C22×C4C23×D4711yescharacteristic
1118C22×C4C23×D4711yescharacteristic
1119C22×C4C23×D4711yescharacteristic
1120C22×C4C23×D4711yescharacteristic
1121C22×C4C23×D4711yescharacteristic
1122C22×C4C23×D4711yescharacteristic
1123C22×C4C23×D4711yescharacteristic
1124C22×C4C23×D4711yescharacteristic
1125C22×C4C23×D4711yescharacteristic
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—41no—
1131C4⋊C4—41no—
1132C4⋊C4—41no—
1133C4⋊C4—41no—
1134C4⋊C4—942no—
1135C4⋊C4—942no—
1136C4⋊C4—942no—
1137C4⋊C4—942no—
1138C4⋊C4—942no—
1139C4⋊C4—942no—
1140C4⋊C4—942no—
1141C4⋊C4—942no—
1142C4⋊C4—942no—
1143C4⋊C4—942no—
1144C4⋊C4—942no—
1145C4⋊C4—942no—
1146C4⋊C4—942no—
1147C4⋊C4—942no—
1148C4⋊C4—1881no—
1149C4⋊C4—1881no—
1150C4⋊C4—1881no—
1151C4⋊C4—1881no—
1152C4⋊C4—1881no—
1153C4⋊C4—1881no—
1154C4⋊C4—1881no—
1155C4⋊C4—1881no—
1156C4⋊C4—1881no—
1157C4⋊C4—1881no—
1158C4⋊C4—1881no—
1159C4⋊C4—1881no—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—22no—
1166C22⋊C4—22no—
1167C22⋊C4—41no—
1168C22⋊C4—41no—
1169C22⋊C4—41no—
1170C22⋊C4—41no—
1171C22⋊C4—41no—
1172C22⋊C4—41no—
1173C22⋊C4—942no—
1174C22⋊C4—942no—
1175C22⋊C4—942no—
1176C22⋊C4—942no—
1177C22⋊C4—942no—
1178C22⋊C4—942no—
1179C22⋊C4—942no—
1180C22⋊C4—942no—
1181C22⋊C4—942no—
1182C22⋊C4—942no—
1183C22⋊C4—942no—
1184C22⋊C4—1881no—
1185C22⋊C4—1881no—
1186C22⋊C4—1881no—
1187C22⋊C4—1881no—
1188C22⋊C4—1881no—
1189C22⋊C4—1881no—
1190C22⋊C4—1881no—
1191C22⋊C4—1881no—
1192C42—22no—
1193C42—474no—
1194C42—942no—
1195C42—942no—
1196C42—942no—
1197C42—942no—
1198C42—942no—
1199C42—942no—
1200C42—942no—
1201C42—942no—
1202C42—942no—
1203C42—942no—
1204C42—942no—
1205C42—942no—
1206C42—1881no—
1207C42—1881no—
1208C42—1881no—
1209C42—1881no—
1210C42—1881no—
1211C42—1881no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23#41×D4712yes—
1232C23C2×#1062535212yes—
1233C23C24×D4711yescharacteristic
1234Q8—1884no—
1235Q8—1884no—
1236Q8—1884no—
1237D4—28no—
1238D4—44no—
1239D4—44no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—44no—
1274C2×C4—44no—
1275C2×C4—472no—
1276C2×C4—472no—
1277C2×C4—472no—
1278C2×C4—472no—
1279C2×C4—472no—
1280C2×C4—472no—
1281C2×C4—941no—
1282C2×C4—941no—
1283C2×C4—941no—
1284C2×C4—941no—
1285C2×C4—941no—
1286C2×C4—941no—
1287C2×C4—941no—
1288C2×C4—941no—
1289C2×C4—941no—
1290C2×C4—941no—
1291C2×C4—941no—
1292C2×C4—941no—
1293C2×C4—941no—
1294C2×C4—941no—
1295C2×C4—941no—
1296C2×C4—941no—
1297C2×C4—941no—
1298C2×C4—941no—
1299C2×C4—941no—
1300C2×C4—941no—
1301C2×C4—941no—
1302C2×C4—941no—
1303C2×C4—941no—
1304C2×C4—941no—
1305C2×C4—941no—
1306C2×C4—941no—
1307C2×C4—941no—
1308C2×C4—941no—
1309C2×C4—941no—
1310C2×C4—941no—
1311C2×C4—941no—
1312C2×C4—941no—
1313C2×C4—941no—
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—1884no—
1324C2×C4—1884no—
1325C2×C4—1884no—
1326C2×C4—1884no—
1327C2×C4—1884no—
1328C2×C4#41×D4712yes—
1329C2×C4C2×#1062535212yes—
1330C2×C4C2×#1062535212yes—
1331C22—22no—
1332C22—22no—
1333C22—22no—
1334C22—22no—
1335C22—22no—
1336C22—22no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22C2×#41×D4711yescharacteristic
1353C22C2×#41×D4711yescharacteristic
1354C22C22×#1062535211yescharacteristic
1355C22H(5,𝔽2)×D4711yescharacteristic
1356C222−1+4×D4711yescharacteristic
1357C22#1568995811yescharacteristic
1358C22#1568995811yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—41no—
1363C4—41no—
1364C4—41no—
1365C4—41no—
1366C4—41no—
1367C4—41no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—474no—
1372C4—942no—
1373C4—942no—
1374C4—942no—
1375C4—1881no—
1376C4—1881no—
1377C4—1881no—
1378C4—1881no—
1379C4—1881no—
1380C4—1881no—
1381C4—1881no—
1382C4—1881no—
1383C4—1881no—
1384C4—1881no—
1385C4—1881no—
1386C4—1881no—
1387C2—42no—
1388C2—42no—
1389C2—81no—
1390C2#2025668011yescharacteristic
1391C2#542×D4711yescharacteristic
1392C2#2025677211yescharacteristic
1393C2#2025679411yescharacteristic
1394C2#2025679911yescharacteristic
1395C2#2025681611yescharacteristic
1396C2#2025681811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2630C2
prime radicalC47×#392C22
hypercenter#2630D47
hypocenterC47#34596
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2630

Complements

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

NH ≅ G/Ntype
1. #20249561C2semidirect
2. #20249559C2semidirect
3. #20249538C2semidirect
4. #20249535C2semidirect
5. #20249484C2semidirect
6. #20249481C2semidirect
7. #20249453C2semidirect
8. #20249446C2semidirect
9. #20249438C2semidirect
10. #20249429C2semidirect
11. #20249407C2semidirect
12. #20249406C2semidirect
13. #20249305C2semidirect
14. #20249304C2semidirect
16. #20246690C2semidirect
17. #20246685C2semidirect
18. #20246680C2semidirect
19. #20246676C2semidirect
20. #20246676C2semidirect
21. #20246676C2semidirect
22. #20246663C2semidirect
24. #20245920C2semidirect
25. #20245916C2semidirect
26. #20245913C2semidirect
27. #123×Dic47C2semidirect
28. #20245882C2semidirect
29. #20245861C2semidirect
30. C4×D4×Dic47C2semidirect
885. C47#34596semidirect

Maximal subgroups

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

subgroupindex
#202495612
#202495592
#202495382
#202495352
#202494842
#202494812
#202494532
#202494462
#202494382
#202494292
#202494072
#202494062
#202493052
#202493042
#202492242
#202466902
#202466852
#202466802
#202466762
#202466632
#202466232
#202459202
#202459162
#202459132
#123×Dic472
#202458822
#202458612
C4×D4×Dic472
C47×#26302
#3459647