Finite Group Databasebeta

← #26422016

Subgroups — #26422016

Order 12032.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251719C211yesmaximal, characteristic, complemented
2#20251717C211yesmaximal, characteristic, complemented
3#20251717C211yesmaximal, characteristic, complemented
4#20248937C211yesmaximal, characteristic, complemented
5#20248933C211yesmaximal, characteristic, complemented
6#20248922C211yesmaximal, characteristic, complemented
7#20248918C211yesmaximal, characteristic, complemented
8#20248792C211yesmaximal, characteristic, complemented
9#20248785C211yesmaximal, characteristic, complemented
10#20248614C211yesmaximal, characteristic, complemented
11#20248455C211yesmaximal, characteristic, complemented
12#20248448C211yesmaximal, characteristic, complemented
13#20248352C211yesmaximal, characteristic
14#20248150C211yesmaximal, characteristic, complemented
15#20248142C211yesmaximal, characteristic, complemented
16#20248029C211yesmaximal, characteristic, complemented
17#20248021C211yesmaximal, characteristic, complemented
18#20247654C211yesmaximal, characteristic, complemented
19#20247649C211yesmaximal, characteristic, complemented
20#20247127C211yesmaximal, characteristic, complemented
21#20247117C211yesmaximal, characteristic, complemented
22#20246519C211yesmaximal, characteristic, complemented
23#20246517C211yesmaximal, characteristic, complemented
24#20246509C211yesmaximal, characteristic, complemented
25#20246504C211yesmaximal, characteristic, complemented
26#20246433C211yesmaximal, characteristic, complemented
27#20246322C211yesmaximal, characteristic, complemented
28#20245905C211yesmaximal, characteristic, complemented
29#20245905C211yesmaximal, characteristic, complemented
30C2×C4×Dic47⋊C4C211yesmaximal, characteristic, complemented
31C4×#123×C47C211yesmaximal, characteristic, complemented
32C2×#13094018C2211yescharacteristic
33C2×#13094017C2211yescharacteristic
34C2×#13094009C2211yescharacteristic
35C2×#13094007C2211yescharacteristic
36C2×#13094007C2211yescharacteristic
37C2×#13094007C2211yescharacteristic
38C2×#13093998C2211yescharacteristic
39C2×#13093996C2211yescharacteristic
40C2×#13093996C2211yescharacteristic
41C2×(C22⋊D47)⋊C4C2211yescharacteristic
42C2×(C22⋊D47)⋊C4C2211yescharacteristic
43C22×Dic47⋊C4C2211yescharacteristic
44C22×Dic47⋊C4C2211yescharacteristic
45C22×C4×Dic47C2211yescharacteristic
46C22×C4×Dic47C2211yescharacteristic
47#15689064C2211yescharacteristic
48#15689064C2211yescharacteristic
49#15689064C2211yescharacteristic
50#15689064C2211yescharacteristic
51#15689063C2211yescharacteristic
52#15689061C2211yescharacteristic
53#15689058C2211yescharacteristic
54#15689058C2211yescharacteristic
55#15689057C2211yescharacteristic
56#15689057C2211yescharacteristic
57#15689056C2211yescharacteristic
58#15689054C2211yescharacteristic
59#15689053C2211yescharacteristic
60#15689052C2211yescharacteristic
61#15689052C2211yescharacteristic
62#15689052C2211yescharacteristic
63#15689051C2211yescharacteristic
64#15689051C2211yescharacteristic
65#15689047C2211yescharacteristic
66#15689046C2211yescharacteristic
67#15689041C2211yescharacteristic
68#15689038C2211yescharacteristic
69#15689038C2211yescharacteristic
70#15689032C2211yescharacteristic
71#15689025C2211yescharacteristic
72#15689025C2211yescharacteristic
73#15689023C2211yescharacteristic
74#15689023C2211yescharacteristic
75#15689023C2211yescharacteristic
76#15689023C2211yescharacteristic
77#15689021C2211yescharacteristic
78#15689021C2211yescharacteristic
79#15689018C2211yescharacteristic
80#15689018C2211yescharacteristic
81#15689018C2211yescharacteristic
82#15689018C2211yescharacteristic
83#15689017C2211yescharacteristic
84#15689017C2211yescharacteristic
85#15689017C2211yescharacteristic
86#15689017C2211yescharacteristic
87#15689017C2211yescharacteristic
88#15689016C2211yescharacteristic
89#15689014C2211yescharacteristic
90#15689014C2211yescharacteristic
91#15689014C2211yescharacteristic
92#15689014C2211yescharacteristic
93#15689014C2211yescharacteristic
94#15689014C2211yescharacteristic
95#15689014C2211yescharacteristic
96#15689013C2211yescharacteristic
97#15689013C2211yescharacteristic
98#15689013C2211yescharacteristic
99#15689013C2211yescharacteristic
100#15689013C2211yescharacteristic
101#15689012C2211yescharacteristic
102#15689012C2211yescharacteristic
103#15689012C2211yescharacteristic
104#15689012C2211yescharacteristic
105#15689012C2211yescharacteristic
106#15689012C2211yescharacteristic
107#15689012C2211yescharacteristic
108#15689011C2211yescharacteristic
109#15689010C2211yescharacteristic
110#15689010C2211yescharacteristic
111#15689009C2211yescharacteristic
112#15689008C2211yescharacteristic
113#15689007C2211yescharacteristic
114#15689007C2211yescharacteristic
115#15689007C2211yescharacteristic
116#15689007C2211yescharacteristic
117#15689007C2211yescharacteristic
118#15689005C2211yescharacteristic
119#15689005C2211yescharacteristic
120#15689005C2211yescharacteristic
121#15689005C2211yescharacteristic
122#15689005C2211yescharacteristic
123#15689005C2211yescharacteristic
124#15689005C2211yescharacteristic
125#15689004C2211yescharacteristic
126#15689004C2211yescharacteristic
127#15689003C2211yescharacteristic
128#15689003C2211yescharacteristic
129#15689002C2211yescharacteristic
130#15689002C2211yescharacteristic
131#15689002C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689000C2211yescharacteristic
134#15689000C2211yescharacteristic
135#15689000C2211yescharacteristic
136#15689000C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688996C2211yescharacteristic
140#15688995C2211yescharacteristic
141#15688995C2211yescharacteristic
142#15688994C2211yescharacteristic
143#15688990C2211yescharacteristic
144#15688985C2211yescharacteristic
145#15688983C2211yescharacteristic
146#15688981C2211yescharacteristic
147#15688981C2211yescharacteristic
148C4×Dic47⋊C4C2211yescharacteristic
149C4×Dic47⋊C4C2211yescharacteristic
150C4×Dic47⋊C4C2211yescharacteristic
151C4×Dic47⋊C4C2211yescharacteristic
152C4×Dic47⋊C4C2211yescharacteristic
153C4×Dic47⋊C4C2211yescharacteristic
154C4×Dic47⋊C4C2211yescharacteristic
155C4×Dic47⋊C4C2211yescharacteristic
156#15688974C2211yescharacteristic
157#15688974C2211yescharacteristic
158#15688974C2211yescharacteristic
159#15688974C2211yescharacteristic
160C22⋊C4×Dic47C2211yescharacteristic
161C22⋊C4×Dic47C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×C22⋊Dic47C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688969C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×#123×C47C2211yescharacteristic
173C2×C4×D4×C47C2211yescharacteristic
174C22×C42×C47C2211yescharacteristic
175C47×#388C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#387C2211yescharacteristic
178C47×#387C2211yescharacteristic
179C47×#386C2211yescharacteristic
180C47×#385C2211yescharacteristic
181C47×#381C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic
183C4×C4⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C22×D188C2311yescharacteristic
188C22×C22⋊D47C2311yescharacteristic
189C22×C22⋊D47C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C23×Dic47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198#13094018—24no—
199#13094017—24no—
200#13094009—24no—
201#13094007—24no—
202#13094007—24no—
203#13094007—24no—
204#13093998—42no—
205#13093996—24no—
206#13093996—42no—
207(C22⋊D47)⋊C4—24no—
208(C22⋊D47)⋊C4—42no—
209C2×C4⋊Dic47C2311yescharacteristic
210C2×C4⋊Dic47C2311yescharacteristic
211C2×C4⋊Dic47C2311yescharacteristic
212C2×Dic47⋊C4—24no—
213C2×Dic47⋊C4—24no—
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×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×(C2×D47)⋊C4C2311yescharacteristic
247C2×(C2×D47)⋊C4C2311yescharacteristic
248C2×(C2×D47)⋊C4C2311yescharacteristic
249C2×(C2×D47)⋊C4C2311yescharacteristic
250C2×(C2×D47)⋊C4C2311yescharacteristic
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×C4×Dic47—24no—
269C2×C4×Dic47—42no—
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
283C2×C4×Dic47C2311yescharacteristic
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
322C22×D4×C47C2311yescharacteristic
323C23×C4×C47C2311yescharacteristic
324C23×C4×C47C2311yescharacteristic
325C23×C4×C47C2311yescharacteristic
326C23×C4×C47C2311yescharacteristic
327#123×C47—24no—
328C4×D4×C47—42no—
329C2×C4⋊C4×C47C2311yescharacteristic
330C2×C4⋊C4×C47C2311yescharacteristic
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C22⋊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×C42×C47—42no—
343C2×C42×C47C2311yescharacteristic
344C2×C42×C47C2311yescharacteristic
345C2×C42×C47C2311yescharacteristic
346C2×C42×C47C2311yescharacteristic
347C2×C42×C47C2311yescharacteristic
348C2×C42×C47C2311yescharacteristic
349C2×C42×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360C24×C47C2411yescharacteristic
361C24×C47C2411yescharacteristic
362C23×D47C2411yescharacteristic
363C23×D47C2411yescharacteristic
364C2×D4×C47—22no—
365C2×D4×C47—22no—
366C2×D4×C47—22no—
367C22×C4×C47—22no—
368C22×C4×C47—22no—
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×C47—41no—
376C22×C4×C47—41no—
377C22×C4×C47—41no—
378C22×C4×C47#4114yes—
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—22no—
397C2×C22⋊D47—22no—
398C2×C22⋊D47—22no—
399C2×C22⋊D47—22no—
400C2×C22⋊D47—41no—
401C2×C22⋊D47—41no—
402C2×C22⋊D47—41no—
403C2×C22⋊D47—41no—
404C22×Dic47—22no—
405C22×Dic47—22no—
406C22×Dic47—22no—
407C22×Dic47—22no—
408C22×Dic47—22no—
409C22×Dic47—22no—
410C22×Dic47—22no—
411C22×Dic47—41no—
412C22×Dic47—41no—
413C22×Dic47—41no—
414C22×Dic47—41no—
415C22×Dic47#4114yes—
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C2×D188—22no—
431C2×D188—41no—
432C2×D188—41no—
433C2×C4×D47—22no—
434C2×C4×D47—22no—
435C2×C4×D47—41no—
436C2×C4×D47—41no—
437C2×C4×D47—41no—
438C2×C4×D47—41no—
439C4⋊C4×C47—22no—
440C4⋊C4×C47—22no—
441C4⋊C4×C47—22no—
442C4⋊C4×C47—41no—
443C4⋊C4×C47—41no—
444C22⋊C4×C47—22no—
445C22⋊C4×C47—22no—
446C22⋊C4×C47—22no—
447C22⋊C4×C47—22no—
448C22⋊C4×C47—22no—
449C22⋊C4×C47—22no—
450C22⋊C4×C47—41no—
451C22⋊C4×C47—41no—
452C42×C47—22no—
453C42×C47—41no—
454C42×C47—41no—
455C42×C47—41no—
456C42×C47—41no—
457C42×C47—41no—
458C42×C47—41no—
459C22⋊Dic47—22no—
460C22⋊Dic47—22no—
461C22⋊Dic47—22no—
462C22⋊Dic47—22no—
463C22⋊Dic47—22no—
464C22⋊Dic47—22no—
465C22⋊Dic47—41no—
466C22⋊Dic47—41no—
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—41no—
482(C2×D47)⋊C4—41no—
483(C2×D47)⋊C4—41no—
484(C2×D47)⋊C4—41no—
485(C2×D47)⋊C4—41no—
486(C2×D47)⋊C4—41no—
487(C2×D47)⋊C4—41no—
488(C2×D47)⋊C4—41no—
489C4⋊Dic47—22no—
490C4⋊Dic47—41no—
491C4⋊Dic47—41no—
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—22no—
506Dic47⋊C4—22no—
507Dic47⋊C4—22no—
508Dic47⋊C4—41no—
509Dic47⋊C4—41no—
510Dic47⋊C4—41no—
511Dic47⋊C4—41no—
512Dic47⋊C4—41no—
513Dic47⋊C4—41no—
514Dic47⋊C4#4114yes—
515Dic47⋊C4#4114yes—
516C4×Dic47—22no—
517C4×Dic47—22no—
518C4×Dic47—22no—
519C4×Dic47—22no—
520C4×Dic47—22no—
521C4×Dic47—22no—
522C4×Dic47—41no—
523C4×Dic47—41no—
524C4×Dic47—41no—
525C4×Dic47—41no—
526C4×Dic47—41no—
527C4×Dic47—41no—
528C4×Dic47—41no—
529C4×Dic47—41no—
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×C47—21no—
540C23×C47—21no—
541C23×C47C2×#4112yes—
542C23×C47C2×#4112yes—
543C23×C47H(5,𝔽2)12yes—
544C23×C47C2511yescharacteristic
545C22×D47—21no—
546C22×D47—21no—
547C22×D47—21no—
548C22×D47—21no—
549C22×D47—21no—
550C22×D47—21no—
551C22×D47—21no—
552C22×D47—21no—
553C22×D47—21no—
554C22×D47—21no—
555C22×D47—21no—
556C22×D47—21no—
557C22×D47—21no—
558C22×D47—21no—
559D4×C47—44no—
560C2×C4×C47—28no—
561C2×C4×C47—21no—
562C2×C4×C47—21no—
563C2×C4×C47—21no—
564C2×C4×C47—21no—
565C2×C4×C47—21no—
566C2×C4×C47—21no—
567C2×C4×C47—21no—
568C2×C4×C47—21no—
569C2×C4×C47—21no—
570C2×C4×C47—21no—
571C2×C4×C47—21no—
572C2×C4×C47—21no—
573C2×C4×C47—21no—
574C2×C4×C47—21no—
575C2×C4×C47—21no—
576C2×C4×C47—21no—
577C2×C4×C47—21no—
578C2×C4×C47—21no—
579C2×C4×C47—21no—
580C2×C4×C47—21no—
581C2×C4×C47—21no—
582C2×C4×C47—21no—
583C2×C4×C47—21no—
584C2×C4×C47—21no—
585C2×C4×C47—21no—
586C2×C4×C47—21no—
587C2×C4×C47—21no—
588C2×C4×C47—21no—
589C2×C4×C47—21no—
590C2×C4×C47—21no—
591C2×C4×C47—21no—
592C2×C4×C47—21no—
593C2×C4×C47—21no—
594C2×C4×C47—21no—
595C2×C4×C47—21no—
596C2×C4×C47—44no—
597C2×C4×C47—44no—
598C2×C4×C47—82no—
599C2×C4×C47C2×#4112yes—
600C2×C4×C47C2×#4112yes—
601C2×C4×C47C2×#4112yes—
602C2×C4×C47C2×#4112yes—
603C22⋊D47—44no—
604C22⋊D47—44no—
605C22⋊D47—82no—
606C22⋊D47—82no—
607C2×Dic47—28no—
608C2×Dic47—21no—
609C2×Dic47—21no—
610C2×Dic47—21no—
611C2×Dic47—21no—
612C2×Dic47—21no—
613C2×Dic47—21no—
614C2×Dic47—21no—
615C2×Dic47—21no—
616C2×Dic47—21no—
617C2×Dic47—21no—
618C2×Dic47—21no—
619C2×Dic47—21no—
620C2×Dic47—21no—
621C2×Dic47—21no—
622C2×Dic47—21no—
623C2×Dic47—21no—
624C2×Dic47—21no—
625C2×Dic47—21no—
626C2×Dic47—21no—
627C2×Dic47—21no—
628C2×Dic47—21no—
629C2×Dic47—21no—
630C2×Dic47—21no—
631C2×Dic47—21no—
632C2×Dic47—21no—
633C2×Dic47—21no—
634C2×Dic47—21no—
635C2×Dic47—21no—
636C2×Dic47—21no—
637C2×Dic47—21no—
638C2×Dic47—21no—
639C2×Dic47—21no—
640C2×Dic47—21no—
641C2×Dic47—21no—
642C2×Dic47—21no—
643C2×Dic47—21no—
644C2×Dic47—44no—
645C2×Dic47—44no—
646C2×Dic47—44no—
647C2×Dic47C2×#4112yes—
648C2×Dic47C2×#4112yes—
649C2×Dic47C2×#4112yes—
650C2×Dic47C2×#4112yes—
651C2×Dic47C2×#4112yes—
652C2×Dic47C2×#4112yes—
653D188—82no—
654C4×D47—82no—
655C4×D47—82no—
656#36604—471nomaximal, Sylow
657C22×C47—22no—
658C22×C47—22no—
659C22×C47—22no—
660C22×C47—22no—
661C22×C47—22no—
662C22×C47—22no—
663C22×C47—41no—
664C22×C47—41no—
665C22×C47—41no—
666C22×C47—41no—
667C22×C47—41no—
668C22×C47—41no—
669C22×C47—41no—
670C22×C47#55314yes—
671C22×C47C22×#4111yescharacteristic
672C22×C47C22×#4111yescharacteristic
673C22×C47C22×#4111yescharacteristic
674C22×C47C22×#4111yescharacteristic
675C22×C47C2×H(5,𝔽2)11yescharacteristic
676C22×C47#58511yescharacteristic
677C22×C47#58511yescharacteristic
678C2×D47—41no—
679C2×D47—41no—
680C2×D47—41no—
681C2×D47—41no—
682C2×D47—41no—
683C2×D47—41no—
684C2×D47—41no—
685C2×D47—41no—
686C2×D47—41no—
687C2×D47—41no—
688C2×D47—41no—
689C2×D47—41no—
690C2×D47—41no—
691C2×D47—41no—
692C4×C47—22no—
693C4×C47—22no—
694C4×C47—22no—
695C4×C47—22no—
696C4×C47—41no—
697C4×C47—41no—
698C4×C47—41no—
699C4×C47—41no—
700C4×C47—41no—
701C4×C47—41no—
702C4×C47—41no—
703C4×C47—41no—
704C4×C47—41no—
705Dic47—22no—
706Dic47—22no—
707Dic47—22no—
708Dic47—22no—
709Dic47—22no—
710Dic47—22no—
711Dic47—41no—
712Dic47—41no—
713Dic47—41no—
714Dic47—41no—
715Dic47—41no—
716Dic47—41no—
717Dic47—41no—
718Dic47—41no—
719#2854—471no—
720#2854—471no—
721#2854—471no—
722#2597—471no—
723#2597—471no—
724#2596—471no—
725#2596—471no—
726#2585—471no—
727#2585—471no—
728#2569—471no—
729#2554—471no—
730#2554—471no—
731#2543—471no—
732#2525—471no—
733#2525—471no—
734#2516—471no—
735#2516—471no—
736#2481—471no—
737#2481—471no—
738#2443—471no—
739#2443—471no—
740#2374—471no—
741#2374—471no—
742#2373—471no—
743#2373—471no—
744#2364—471no—
745#2353—471no—
746C4×#123—471no—
747C4×#123—471no—
748C4×#123D4711yescharacteristic, complemented
749C2×C4×C4⋊C4—471no—
750C2×C47—24no—
751C2×C47—81no—
752C2×C47#344411yescharacteristic
753C2×C47C2×#55311yescharacteristic
754C2×C47#348011yescharacteristic
755C2×C47#348011yescharacteristic
756C2×C47#349111yescharacteristic
757C2×C47#351311yescharacteristic
758C2×C47#351311yescharacteristic
759D47—81no—
760D47—81no—
761C2×#126—471no—
762C2×#126—471no—
763C2×#123—471no—
764C2×#123—471no—
765C2×#123—471no—
766C2×#123—471no—
767C2×#123C2×D4711yescharacteristic
768C2×#121—471no—
769C2×#121—471no—
770C2×#121—471no—
771C2×C4×D4—471no—
772C2×C4×D4—471no—
773C2×C4×D4C2×D4711yescharacteristic
774C22×C4⋊C4—471no—
775C22×C4⋊C4—471no—
776C22×C42—471no—
777C22×C42—471no—
778C22×C42C2×D4711yescharacteristic
779#400—471no—
780#400—471no—
781#400—471no—
782#400—471no—
783#400—471no—
784#400—471no—
785#399—471no—
786#399—471no—
787#398—471no—
788#398—471no—
789#398—471no—
790#398—471no—
791#398—471no—
792#397—471no—
793#397—471no—
794#397—471no—
795#397—471no—
796#397—471no—
797#396—471no—
798#396—471no—
799#394—471no—
800#394—471no—
801#394—471no—
802#392—471no—
803#390—471no—
804#390—471no—
805#390—471no—
806#390—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#388—471no—
816#388—471no—
817#388—471no—
818#388—471no—
819#388—471no—
820#388—471no—
821#388—471no—
822#388—471no—
823#388—471no—
824#388—471no—
825#388—471no—
826#388—471no—
827#388—471no—
828#388—471no—
829#388—471no—
830#388—471no—
831#388—471no—
832#388—471no—
833#388—471no—
834#388—471no—
835#388—471no—
836#388—471no—
837#388—471no—
838#388—471no—
839#388—471no—
840#388—471no—
841#388C2×D4711yescharacteristic
842#388C2×D4711yescharacteristic
843#387—471no—
844#387—471no—
845#387—471no—
846#387—471no—
847#387—471no—
848#387—471no—
849#387—471no—
850#387—471no—
851#387—471no—
852#387—471no—
853#387—471no—
854#387—471no—
855#387—471no—
856#387—471no—
857#387—471no—
858#387—471no—
859#387—471no—
860#387—471no—
861#387C2×D4711yescharacteristic
862#387C2×D4711yescharacteristic
863#386—471no—
864#386—471no—
865#386—471no—
866#386—471no—
867#386—471no—
868#386—471no—
869#386—471no—
870#386—471no—
871#386—471no—
872#386—471no—
873#386—471no—
874#386—471no—
875#386C2×D4711yescharacteristic
876#385—471no—
877#385—471no—
878#385—471no—
879#385—471no—
880#385C2×D4711yescharacteristic
881#383—471no—
882#381—471no—
883#381C2×D4711yescharacteristic
884#380—471no—
885#380—471no—
886#380—471no—
887C4×C4⋊C4—471no—
888C4×C4⋊C4—471no—
889C4×C4⋊C4—471no—
890C4×C4⋊C4—471no—
891C4×C4⋊C4—471no—
892C4×C4⋊C4—471no—
893C4×C4⋊C4—471no—
894C4×C4⋊C4—471no—
895C4×C4⋊C4—471no—
896C4×C4⋊C4—471no—
897C4×C4⋊C4—471no—
898C4×C4⋊C4—471no—
899C4×C4⋊C4C2×D4711yescharacteristic
900C4×C4⋊C4C2×D4711yescharacteristic
901C4×C22⋊C4—471no—
902C4×C22⋊C4—471no—
903C4×C22⋊C4—471no—
904C4×C22⋊C4—471no—
905C4×C22⋊C4—471no—
906C4×C22⋊C4—471no—
907C4×C22⋊C4—471no—
908C4×C22⋊C4—471no—
909C4×C22⋊C4—471no—
910C4×C22⋊C4C2×D4711yescharacteristic
911C4×C22⋊C4C2×D4711yescharacteristic
912C4×C22⋊C4C2×D4711yescharacteristic
913#376—471no—
914C2×#95—471no—
915C2×#95—471no—
916C47#3660411yescharacteristic, complemented, Sylow
917C22×D4—471no—
918C22×D4—471no—
919C22×D4—471no—
920C22×D4—471no—
921C22×D4—471no—
922C22×D4C22×D4711yescharacteristic
923C23×C4—471no—
924C23×C4—471no—
925C23×C4—471no—
926C23×C4—471no—
927C23×C4—471no—
928C23×C4—471no—
929C23×C4C22×D4711yescharacteristic
930C23×C4C22×D4711yescharacteristic
931C23×C4C22×D4711yescharacteristic
932C23×C4C22×D4711yescharacteristic
933#126—944no—
934#126—944no—
935#123—24no—
936#123—944no—
937#123—944no—
938#123—944no—
939#123—944no—
940#121—944no—
941#121—1882no—
942#121—1882no—
943C4×D4—42no—
944C4×D4—944no—
945C4×D4—1882no—
946C2×C4⋊C4—471no—
947C2×C4⋊C4—471no—
948C2×C4⋊C4—471no—
949C2×C4⋊C4—471no—
950C2×C4⋊C4—471no—
951C2×C4⋊C4—471no—
952C2×C4⋊C4—471no—
953C2×C4⋊C4—471no—
954C2×C4⋊C4—471no—
955C2×C4⋊C4—471no—
956C2×C4⋊C4—471no—
957C2×C4⋊C4—471no—
958C2×C4⋊C4—471no—
959C2×C4⋊C4—471no—
960C2×C4⋊C4—471no—
961C2×C4⋊C4—471no—
962C2×C4⋊C4—471no—
963C2×C4⋊C4—471no—
964C2×C4⋊C4—471no—
965C2×C4⋊C4—471no—
966C2×C4⋊C4—471no—
967C2×C4⋊C4—471no—
968C2×C4⋊C4—471no—
969C2×C4⋊C4—471no—
970C2×C4⋊C4—471no—
971C2×C4⋊C4—471no—
972C2×C4⋊C4—471no—
973C2×C4⋊C4—944no—
974C2×C4⋊C4—944no—
975C2×C4⋊C4C22×D4711yescharacteristic
976C2×C4⋊C4C22×D4711yescharacteristic
977C2×C4⋊C4C22×D4711yescharacteristic
978C2×C4⋊C4C22×D4711yescharacteristic
979C2×C4⋊C4C22×D4711yescharacteristic
980C2×C22⋊C4—471no—
981C2×C22⋊C4—471no—
982C2×C22⋊C4—471no—
983C2×C22⋊C4—471no—
984C2×C22⋊C4—471no—
985C2×C22⋊C4—471no—
986C2×C22⋊C4—471no—
987C2×C22⋊C4—471no—
988C2×C22⋊C4—471no—
989C2×C22⋊C4—471no—
990C2×C22⋊C4—471no—
991C2×C22⋊C4—471no—
992C2×C22⋊C4—471no—
993C2×C22⋊C4—471no—
994C2×C22⋊C4—471no—
995C2×C22⋊C4—471no—
996C2×C22⋊C4—471no—
997C2×C22⋊C4—471no—
998C2×C22⋊C4—471no—
999C2×C22⋊C4—471no—
1000C2×C22⋊C4—471no—
1001C2×C22⋊C4—471no—
1002C2×C22⋊C4—471no—
1003C2×C22⋊C4—471no—
1004C2×C22⋊C4—471no—
1005C2×C22⋊C4—471no—
1006C2×C22⋊C4—471no—
1007C2×C22⋊C4—471no—
1008C2×C22⋊C4—471no—
1009C2×C22⋊C4—471no—
1010C2×C22⋊C4C22×D4711yescharacteristic
1011C2×C22⋊C4C22×D4711yescharacteristic
1012C2×C22⋊C4C22×D4711yescharacteristic
1013C2×C22⋊C4C22×D4711yescharacteristic
1014C2×C22⋊C4C22×D4711yescharacteristic
1015C2×C22⋊C4C22×D4711yescharacteristic
1016C2×C22⋊C4C22×D4711yescharacteristic
1017C2×C22⋊C4C22×D4711yescharacteristic
1018C2×C42—42no—
1019C2×C42—471no—
1020C2×C42—471no—
1021C2×C42—471no—
1022C2×C42—471no—
1023C2×C42—471no—
1024C2×C42—471no—
1025C2×C42—471no—
1026C2×C42—471no—
1027C2×C42—471no—
1028C2×C42—471no—
1029C2×C42—471no—
1030C2×C42—471no—
1031C2×C42—471no—
1032C2×C42—471no—
1033C2×C42—944no—
1034C2×C42—1882no—
1035C2×C42C22×D4711yescharacteristic
1036C2×C42C22×D4711yescharacteristic
1037C2×C42C22×D4711yescharacteristic
1038C2×C42C22×D4711yescharacteristic
1039C2×C42C22×D4711yescharacteristic
1040C2×C42C22×D4711yescharacteristic
1041C2×C42C22×D4711yescharacteristic
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#95—471no—
1069#95—471no—
1070#95—471no—
1071#95—471no—
1072#95—471no—
1073#95—471no—
1074#95—471no—
1075#95—471no—
1076#95—471no—
1077#95—471no—
1078#95—471no—
1079#95—471no—
1080#95C22×D4711yescharacteristic
1081#95C22×D4711yescharacteristic
1082#95C22×D4711yescharacteristic
1083#95C22×D4711yescharacteristic
1084#95C22×D4711yescharacteristic
1085#95C22×D4711yescharacteristic
1086#95C22×D4711yescharacteristic
1087#95C22×D4711yescharacteristic
1088#95C22×D4711yescharacteristic
1089#95C22×D4711yescharacteristic
1090C24—471no—
1091C24—471no—
1092C24C23×D4711yescharacteristic
1093C24C23×D4711yescharacteristic
1094C2×D4—22no—
1095C2×D4—22no—
1096C2×D4—22no—
1097C2×D4—942no—
1098C2×D4—942no—
1099C2×D4—942no—
1100C2×D4—942no—
1101C2×D4—942no—
1102C2×D4—942no—
1103C2×D4—942no—
1104C2×D4—942no—
1105C2×D4—942no—
1106C2×D4—1881no—
1107C2×D4—1881no—
1108C2×D4—1881no—
1109C2×D4—1881no—
1110C2×D4—1881no—
1111C2×D4—1881no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—471no—
1124C22×C4—471no—
1125C22×C4—471no—
1126C22×C4—471no—
1127C22×C4—471no—
1128C22×C4—471no—
1129C22×C4—474no—
1130C22×C4—471no—
1131C22×C4—471no—
1132C22×C4—471no—
1133C22×C4—471no—
1134C22×C4—471no—
1135C22×C4—471no—
1136C22×C4—471no—
1137C22×C4—471no—
1138C22×C4—942no—
1139C22×C4—942no—
1140C22×C4—942no—
1141C22×C4—942no—
1142C22×C4—942no—
1143C22×C4—942no—
1144C22×C4—942no—
1145C22×C4—942no—
1146C22×C4—942no—
1147C22×C4—1881no—
1148C22×C4—1881no—
1149C22×C4—1881no—
1150C22×C4—1881no—
1151C22×C4—1881no—
1152C22×C4—1881no—
1153C22×C4—1881no—
1154C22×C4—1881no—
1155C22×C4#1062535014yes—
1156C22×C4C23×D4711yescharacteristic
1157C22×C4C23×D4711yescharacteristic
1158C22×C4C23×D4711yescharacteristic
1159C22×C4C23×D4711yescharacteristic
1160C22×C4C23×D4711yescharacteristic
1161C22×C4C23×D4711yescharacteristic
1162C22×C4C23×D4711yescharacteristic
1163C22×C4C23×D4711yescharacteristic
1164C22×C4C23×D4711yescharacteristic
1165C22×C4C23×D4711yescharacteristic
1166C22×C4C23×D4711yescharacteristic
1167C22×C4C23×D4711yescharacteristic
1168C22×C4C23×D4711yescharacteristic
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—474no—
1175C4⋊C4—474no—
1176C4⋊C4—942no—
1177C4⋊C4—942no—
1178C4⋊C4—942no—
1179C4⋊C4—942no—
1180C4⋊C4—942no—
1181C4⋊C4—942no—
1182C4⋊C4—942no—
1183C4⋊C4—942no—
1184C4⋊C4—942no—
1185C4⋊C4—942no—
1186C4⋊C4—942no—
1187C4⋊C4—942no—
1188C4⋊C4—942no—
1189C4⋊C4—942no—
1190C4⋊C4—942no—
1191C4⋊C4—942no—
1192C4⋊C4—942no—
1193C4⋊C4—1881no—
1194C4⋊C4—1881no—
1195C4⋊C4—1881no—
1196C4⋊C4—1881no—
1197C4⋊C4—1881no—
1198C4⋊C4—1881no—
1199C4⋊C4—1881no—
1200C4⋊C4—1881no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—41no—
1208C22⋊C4—41no—
1209C22⋊C4—942no—
1210C22⋊C4—942no—
1211C22⋊C4—942no—
1212C22⋊C4—942no—
1213C22⋊C4—942no—
1214C22⋊C4—942no—
1215C22⋊C4—942no—
1216C22⋊C4—942no—
1217C22⋊C4—942no—
1218C22⋊C4—942no—
1219C22⋊C4—942no—
1220C22⋊C4—942no—
1221C22⋊C4—942no—
1222C22⋊C4—942no—
1223C22⋊C4—942no—
1224C22⋊C4—942no—
1225C22⋊C4—942no—
1226C22⋊C4—942no—
1227C22⋊C4—942no—
1228C22⋊C4—942no—
1229C22⋊C4—1881no—
1230C22⋊C4—1881no—
1231C22⋊C4—1881no—
1232C22⋊C4—1881no—
1233C22⋊C4—1881no—
1234C22⋊C4—1881no—
1235C22⋊C4—1881no—
1236C22⋊C4—1881no—
1237C22⋊C4—1881no—
1238C22⋊C4—1881no—
1239C42—22no—
1240C42—41no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—942no—
1247C42—942no—
1248C42—942no—
1249C42—942no—
1250C42—942no—
1251C42—942no—
1252C42—1881no—
1253C42—1881no—
1254C42—1881no—
1255C42—1881no—
1256C42—1881no—
1257C42—1881no—
1258C42—1881no—
1259C42—1881no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—941no—
1272C23—941no—
1273C23—941no—
1274C23—941no—
1275C23—941no—
1276C23—941no—
1277C23—941no—
1278C23—941no—
1279C23—941no—
1280C23—941no—
1281C23—941no—
1282C23—941no—
1283C23—941no—
1284C23—941no—
1285C23#41×D4712yes—
1286C23C2×#1062535012yes—
1287C23#1309406912yes—
1288C23C24×D4711yescharacteristic
1289D4—44no—
1290D4—3762no—
1291D4—3762no—
1292D4—3762no—
1293D4—1884no—
1294D4—1884no—
1295C2×C4—28no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—44no—
1332C2×C4—44no—
1333C2×C4—82no—
1334C2×C4—472no—
1335C2×C4—472no—
1336C2×C4—472no—
1337C2×C4—472no—
1338C2×C4—472no—
1339C2×C4—472no—
1340C2×C4—948no—
1341C2×C4—941no—
1342C2×C4—941no—
1343C2×C4—941no—
1344C2×C4—941no—
1345C2×C4—941no—
1346C2×C4—941no—
1347C2×C4—941no—
1348C2×C4—941no—
1349C2×C4—941no—
1350C2×C4—941no—
1351C2×C4—941no—
1352C2×C4—941no—
1353C2×C4—941no—
1354C2×C4—941no—
1355C2×C4—941no—
1356C2×C4—941no—
1357C2×C4—941no—
1358C2×C4—941no—
1359C2×C4—941no—
1360C2×C4—941no—
1361C2×C4—941no—
1362C2×C4—941no—
1363C2×C4—941no—
1364C2×C4—941no—
1365C2×C4—941no—
1366C2×C4—941no—
1367C2×C4—941no—
1368C2×C4—941no—
1369C2×C4—941no—
1370C2×C4—941no—
1371C2×C4—941no—
1372C2×C4—941no—
1373C2×C4—941no—
1374C2×C4—941no—
1375C2×C4—941no—
1376C2×C4—941no—
1377C2×C4—3762no—
1378C2×C4—3762no—
1379C2×C4—1884no—
1380C2×C4—1884no—
1381C2×C4—1884no—
1382C2×C4#41×D4712yes—
1383C2×C4#41×D4712yes—
1384C2×C4C2×#1062535012yes—
1385C2×C4C2×#1062535012yes—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—1881no—
1400C22—1881no—
1401C22—1881no—
1402C22—1881no—
1403C22—1881no—
1404C22—1881no—
1405C22—1881no—
1406C22—1881no—
1407C22—1881no—
1408C22—1881no—
1409C22—1881no—
1410C22—1881no—
1411C22—1881no—
1412C22—1881no—
1413C22#1568982214yes—
1414C22C2×#41×D4711yescharacteristic
1415C22C2×#41×D4711yescharacteristic
1416C22C2×#41×D4711yescharacteristic
1417C22C22×#1062535011yescharacteristic
1418C22C2×#1309406911yescharacteristic
1419C22#1568995911yescharacteristic
1420C22#1568995911yescharacteristic
1421C4—22no—
1422C4—22no—
1423C4—22no—
1424C4—22no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—942no—
1435C4—942no—
1436C4—942no—
1437C4—942no—
1438C4—942no—
1439C4—942no—
1440C4—1881no—
1441C4—1881no—
1442C4—1881no—
1443C4—1881no—
1444C4—1881no—
1445C4—1881no—
1446C4—1881no—
1447C4—1881no—
1448C2—24no—
1449C2—81no—
1450C2—3761no—
1451C2—3761no—
1452C2#2025668211yescharacteristic
1453C2C2×#1568982211yescharacteristic
1454C2#2025698111yescharacteristic
1455C2#2025698111yescharacteristic
1456C2#2025708011yescharacteristic
1457C2#2025731411yescharacteristic
1458C2#2025732011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC4×#123×C47C2
prime radical#20248352C2
hypercenterC4×#123D47
hypocenterC47#36604
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
1. #20251719C2semidirect
2. #20251717C2semidirect
3. #20251717C2semidirect
4. #20248937C2semidirect
5. #20248933C2semidirect
6. #20248922C2semidirect
7. #20248918C2semidirect
8. #20248792C2semidirect
9. #20248785C2semidirect
10. #20248614C2semidirect
11. #20248455C2semidirect
12. #20248448C2semidirect
14. #20248150C2semidirect
15. #20248142C2semidirect
16. #20248029C2semidirect
17. #20248021C2semidirect
18. #20247654C2semidirect
19. #20247649C2semidirect
20. #20247127C2semidirect
21. #20247117C2semidirect
22. #20246519C2semidirect
23. #20246517C2semidirect
24. #20246509C2semidirect
25. #20246504C2semidirect
26. #20246433C2semidirect
27. #20246322C2semidirect
28. #20245905C2semidirect
29. #20245905C2semidirect
30. C2×C4×Dic47⋊C4C2semidirect
31. C4×#123×C47C2semidirect
748. C4×#123D47semidirect
916. C47#36604semidirect

Maximal subgroups

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

subgroupindex
#202517192
#202517172
#202489372
#202489332
#202489222
#202489182
#202487922
#202487852
#202486142
#202484552
#202484482
#202483522
#202481502
#202481422
#202480292
#202480212
#202476542
#202476492
#202471272
#202471172
#202465192
#202465172
#202465092
#202465042
#202464332
#202463222
#202459052
C2×C4×Dic47⋊C42
C4×#123×C472
#3660447