Finite Group Databasebeta

← #26424567

Subgroups — #26424567

Order 12032.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251677C211yesmaximal, characteristic, complemented
2#20251676C211yesmaximal, characteristic, complemented
3#20251064C211yesmaximal, characteristic, complemented
4#20250632C211yesmaximal, characteristic, complemented
5#20250568C211yesmaximal, characteristic, complemented
6#20250568C211yesmaximal, characteristic, complemented
7#20250531C211yesmaximal, characteristic, complemented
8#20250362C211yesmaximal, characteristic, complemented
9#20250110C211yesmaximal, characteristic, complemented
10#20250104C211yesmaximal, characteristic, complemented
11#20250083C211yesmaximal, characteristic, complemented
12#20249934C211yesmaximal, characteristic, complemented
13#20249930C211yesmaximal, characteristic, complemented
14#20249899C211yesmaximal, characteristic, complemented
15#20249871C211yesmaximal, characteristic, complemented
16#20249813C211yesmaximal, characteristic, complemented
17#20249740C211yesmaximal, characteristic, complemented
18#20249359C211yesmaximal, characteristic, complemented
19#20249340C211yesmaximal, characteristic, complemented
20#20247882C211yesmaximal, characteristic, complemented
21#20247637C211yesmaximal, characteristic, complemented
22#20247217C211yesmaximal, characteristic, complemented
23#20247050C211yesmaximal, characteristic, complemented
24#20246849C211yesmaximal, characteristic, complemented
25#20246780C211yesmaximal, characteristic, complemented
26#20246755C211yesmaximal, characteristic
27#20246714C211yesmaximal, characteristic, complemented
28#20246044C211yesmaximal, characteristic, complemented
29#20246001C211yesmaximal, characteristic, complemented
30#386×D47C211yesmaximal, characteristic, complemented
31C47×#2693C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094008C2211yescharacteristic
36C2×#13094007C2211yescharacteristic, complemented
37C2×#13094005C2211yescharacteristic
38C2×#13094005C2211yescharacteristic, complemented
39C2×#13094004C2211yescharacteristic
40C2×#13094004C2211yescharacteristic, complemented
41C2×#13094003C2211yescharacteristic, complemented
42C2×#13094002C2211yescharacteristic, complemented
43C2×#13093997C2211yescharacteristic
44C2×#13093995C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×C4×C22⋊D47C2211yescharacteristic
48C22×(C2×D47)⋊C4C2211yescharacteristic
49C2×C22⋊C4×D47C2211yescharacteristic
50C2×C22⋊C4×D47C2211yescharacteristic
51C2×C22⋊C4×D47C2211yescharacteristic
52C2×C22⋊C4×D47C2211yescharacteristic
53C47⋊#401C2211yescharacteristic, complemented
54#15689065C2211yescharacteristic, complemented
55#15689065C2211yescharacteristic, complemented
56#15689064C2211yescharacteristic, complemented
57#15689064C2211yescharacteristic, complemented
58#15689063C2211yescharacteristic, complemented
59#15689063C2211yescharacteristic, complemented
60#15689063C2211yescharacteristic, complemented
61#15689062C2211yescharacteristic, complemented
62#15689062C2211yescharacteristic, complemented
63#15689059C2211yescharacteristic, complemented
64#15689059C2211yescharacteristic, complemented
65#15689057C2211yescharacteristic, complemented
66#15689057C2211yescharacteristic, complemented
67#15689057C2211yescharacteristic, complemented
68#15689056C2211yescharacteristic, complemented
69#15689056C2211yescharacteristic, complemented
70#15689055C2211yescharacteristic, complemented
71#15689052C2211yescharacteristic, complemented
72#15689052C2211yescharacteristic, complemented
73#15689051C2211yescharacteristic, complemented
74#15689049C2211yescharacteristic, complemented
75#15689049C2211yescharacteristic, complemented
76#15689049C2211yescharacteristic, complemented
77#15689048C2211yescharacteristic, complemented
78#15689048C2211yescharacteristic, complemented
79#15689046C2211yescharacteristic, complemented
80#15689046C2211yescharacteristic, complemented
81#15689046C2211yescharacteristic, complemented
82#15689041C2211yescharacteristic
83#15689041C2211yescharacteristic
84#15689039C2211yescharacteristic
85#15689039C2211yescharacteristic
86#15689039C2211yescharacteristic
87#15689039C2211yescharacteristic, complemented
88#15689039C2211yescharacteristic, complemented
89#15689039C2211yescharacteristic, complemented
90#15689037C2211yescharacteristic
91#15689037C2211yescharacteristic, complemented
92#15689035C2211yescharacteristic, complemented
93#15689035C2211yescharacteristic, complemented
94#15689031C2211yescharacteristic
95#15689027C2211yescharacteristic, complemented
96#15689026C2211yescharacteristic, complemented
97#15689023C2211yescharacteristic, complemented
98#15689022C2211yescharacteristic, complemented
99#15689017C2211yescharacteristic, complemented
100#15689017C2211yescharacteristic, complemented
101#15689015C2211yescharacteristic, complemented
102#15689013C2211yescharacteristic, complemented
103#15689012C2211yescharacteristic, complemented
104#15689012C2211yescharacteristic, complemented
105#15689011C2211yescharacteristic, complemented
106#15689011C2211yescharacteristic, complemented
107#15689011C2211yescharacteristic, complemented
108#15689009C2211yescharacteristic, complemented
109#15689009C2211yescharacteristic, complemented
110#15689006C2211yescharacteristic, complemented
111#15689003C2211yescharacteristic
112#15689003C2211yescharacteristic, complemented
113#15689002C2211yescharacteristic
114#15689002C2211yescharacteristic
115#15689002C2211yescharacteristic, complemented
116#15689001C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689000C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688999C2211yescharacteristic
127#15688999C2211yescharacteristic, complemented
128#15688999C2211yescharacteristic, complemented
129#15688998C2211yescharacteristic, complemented
130#15688998C2211yescharacteristic, complemented
131#15688998C2211yescharacteristic, complemented
132#15688997C2211yescharacteristic
133#15688997C2211yescharacteristic
134#15688997C2211yescharacteristic
135#15688997C2211yescharacteristic
136#15688997C2211yescharacteristic
137#15688997C2211yescharacteristic
138#15688997C2211yescharacteristic, complemented
139#15688997C2211yescharacteristic, complemented
140#15688997C2211yescharacteristic, complemented
141#15688997C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688994C2211yescharacteristic
144#15688994C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic, complemented
148#15688994C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688994C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic, complemented
152#15688987C2211yescharacteristic, complemented
153#15688986C2211yescharacteristic, complemented
154#15688986C2211yescharacteristic, complemented
155#15688984C2211yescharacteristic, complemented
156#15688983C2211yescharacteristic, complemented
157#15688983C2211yescharacteristic, complemented
158#15688982C2211yescharacteristic
159#15688981C2211yescharacteristic, complemented
160#15688981C2211yescharacteristic, complemented
161#15688980C2211yescharacteristic
162#15688980C2211yescharacteristic
163#15688980C2211yescharacteristic, complemented
164#15688980C2211yescharacteristic, complemented
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169#15688970C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C2×#123×C47C2211yescharacteristic, complemented
173C2×#123×C47C2211yescharacteristic, complemented
174C47×#400C2211yescharacteristic, complemented
175C47×#400C2211yescharacteristic, complemented
176C47×#397C2211yescharacteristic, complemented
177C47×#396C2211yescharacteristic, complemented
178C47×#396C2211yescharacteristic, complemented
179C47×#392C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic, complemented
185C47×#380C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C2×D4×D47—24no—
197C2×D4×D47—42no—
198C2×D4×D47—42no—
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C22×C4×D47—42no—
202C22×C4×D47—42no—
203C22×C4×D47—42no—
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213#13094019—42no—
214#13094008—42no—
215#13094007—42no—
216#13094005—42no—
217#13094005—42no—
218#13094004—42no—
219#13094004—42no—
220#13094003—42no—
221#13094002—42no—
222#13093997—42no—
223#13093995—42no—
224#13093992—24no—
225#13093992—42no—
226C4×C22⋊D47—42no—
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×(C2×D47)⋊C4—24no—
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C22⋊C4×D47—42no—
292C22⋊C4×D47—42no—
293C22⋊C4×D47—42no—
294C22⋊C4×D47—42no—
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
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
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C22×D4×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337C23×C4×C47C2311yescharacteristic
338#123×C47—42no—
339#123×C47—42no—
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47C2411yescharacteristic
370C24×C47C2411yescharacteristic
371C24×C47C2411yescharacteristic
372C23×D47—22no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—22no—
377C23×D47—22no—
378C23×D47—22no—
379C23×D47—41no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47#4114yes—
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×D4×C47—22no—
390C2×D4×C47—22no—
391C2×D4×C47—22no—
392C2×D4×C47—22no—
393C2×D4×C47—41no—
394C2×D4×C47—41no—
395C2×D4×C47—41no—
396C2×D4×C47—41no—
397C2×D4×C47—41no—
398C22×C4×C47—22no—
399C22×C4×C47—22no—
400C22×C4×C47—22no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C2×C22⋊D47—22no—
420C2×C22⋊D47—22no—
421C2×C22⋊D47—22no—
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—22no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47—41no—
434C22×Dic47—22no—
435C22×Dic47—22no—
436C22×Dic47—41no—
437C22×Dic47—41no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453D4×D47—416no—
454C2×D188—22no—
455C2×D188—22no—
456C2×D188—41no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—416no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47—41no—
484C2×C4×D47—41no—
485C2×Dic94—22no—
486C2×Dic94—41no—
487C2×Dic94—41no—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—22no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C4⋊C4×C47—41no—
494C4⋊C4×C47—41no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47—41no—
502C22⋊C4×C47—41no—
503C22⋊C4×C47—41no—
504C22⋊C4×C47—41no—
505C22⋊C4×C47—41no—
506C22⋊C4×C47—41no—
507C22⋊Dic47—22no—
508C22⋊Dic47—22no—
509C22⋊Dic47—22no—
510C22⋊Dic47—22no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
517C22⋊Dic47—41no—
518C22⋊Dic47—41no—
519C22⋊Dic47—41no—
520C22⋊Dic47—41no—
521C22⋊Dic47—41no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547C4⋊Dic47—41no—
548C4⋊Dic47—41no—
549C4⋊Dic47—41no—
550C4⋊Dic47—41no—
551C4⋊Dic47—41no—
552C4⋊Dic47—41no—
553C4⋊Dic47—41no—
554C4⋊Dic47—41no—
555C4⋊Dic47—41no—
556C4⋊Dic47—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566Dic47⋊C4—41no—
567Dic47⋊C4—41no—
568Dic47⋊C4—41no—
569Dic47⋊C4—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47C2×#4112yes—
593C23×C47H(5,𝔽2)12yes—
594C23×C47C2511yescharacteristic
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—28no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—28no—
613C22×D47—44no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47—44no—
617C22×D47—44no—
618C22×D47—44no—
619C22×D47—44no—
620C22×D47—44no—
621C22×D47—82no—
622C22×D47—82no—
623C22×D47—82no—
624C22×D47—82no—
625C22×D47C2×#4112yes—
626C22×D47C2×#4112yes—
627C22×D47H(5,𝔽2)12yes—
628C22×D47H(5,𝔽2)12yes—
629C22×D472−1+412yes—
630D4×C47—44no—
631D4×C47—82no—
632D4×C47—82no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—44no—
669C2×C4×C47—82no—
670C2×C4×C47—82no—
671C2×C4×C47H(5,𝔽2)12yes—
672C22⋊D47—44no—
673C22⋊D47—44no—
674C22⋊D47—44no—
675C22⋊D47—82no—
676C22⋊D47—82no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—44no—
717C2×Dic47—82no—
718D188—44no—
719C4×D47—44no—
720C4×D47—44no—
721C4×D47—44no—
722C4×D47—44no—
723C4×D47—44no—
724C4×D47—82no—
725C4×D47—82no—
726C4×D47—82no—
727C4×D47—82no—
728Dic94—82no—
729#36775—471nomaximal, Sylow
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—22no—
735C22×C47—22no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47C22×#4111yescharacteristic
752C22×C47C2×H(5,𝔽2)11yescharacteristic
753C22×C47C2×H(5,𝔽2)11yescharacteristic
754C22×C47C2×H(5,𝔽2)11yescharacteristic
755C22×C47C2×H(5,𝔽2)11yescharacteristic
756C22×C47C2×2−1+411yescharacteristic
757C22×C47#58511yescharacteristic
758C2×D47—22no—
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—22no—
764C2×D47—22no—
765C2×D47—22no—
766C2×D47—22no—
767C2×D47—22no—
768C2×D47—22no—
769C2×D47—22no—
770C2×D47—416no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—88no—
780C2×D47#53914yes—
781C4×C47—22no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789C4×C47—41no—
790C4×C47—41no—
791C4×C47—41no—
792C4×C47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802Dic47—41no—
803Dic47—41no—
804Dic47—41no—
805Dic47—41no—
806#2849—471no—
807#2848—471no—
808#2782—471no—
809#2750—471no—
810#2746—471no—
811#2746—471no—
812#2743—471no—
813#2728—471no—
814#2708—471no—
815#2708—471no—
816#2706—471no—
817#2696—471no—
818#2695—471no—
819#2693—471no—
820#2693D4711yescharacteristic, complemented
821#2691—471no—
822#2687—471no—
823#2681—471no—
824#2646—471no—
825#2643—471no—
826#2505—471no—
827#2480—471no—
828#2450—471no—
829#2437—471no—
830#2418—471no—
831#2412—471no—
832#2410—471no—
833#2405—471no—
834#2321—471no—
835#2315—471no—
836C2×#386—471no—
837C2×C47—42no—
838C2×C47—42no—
839C2×C47—81no—
840C2×C47C2×#53911yescharacteristic
841C2×C47#349011yescharacteristic
842C2×C47#350511yescharacteristic
843C2×C47#353211yescharacteristic
844C2×C47#353411yescharacteristic
845C2×C47#353511yescharacteristic
846C2×C47#353611yescharacteristic
847D47—24no—
848D47—42no—
849D47—42no—
850C23×D4—471no—
851C24×C4—471no—
852C2×#126—471no—
853C2×#123—471no—
854C2×#123—471no—
855C2×#123—471no—
856C2×#123—471no—
857C2×#123C2×D4711yescharacteristic, complemented
858C2×#123C2×D4711yescharacteristic, complemented
859C2×C22⋊Q8—471no—
860C2×C22⋊Q8—471no—
861C2×C22⋊Q8—471no—
862C2×C22⋊Q8—471no—
863C2×#121—471no—
864C2×#121—471no—
865C2×#120—471no—
866C2×#120—471no—
867C2×C4×D4—471no—
868C22×C22⋊C4—471no—
869C22×C22⋊C4—471no—
870C22×C22⋊C4—471no—
871C22×C22⋊C4—471no—
872C22×C22⋊C4—471no—
873#401—471no—
874#400—471no—
875#400—471no—
876#400—471no—
877#400—471no—
878#400—471no—
879#400—471no—
880#400—471no—
881#400—471no—
882#400—471no—
883#400C2×D4711yescharacteristic, complemented
884#400C2×D4711yescharacteristic, complemented
885#399—471no—
886#399—471no—
887#398—471no—
888#398—471no—
889#398—471no—
890#398—471no—
891#398—471no—
892#398—471no—
893#397—471no—
894#397—471no—
895#397—471no—
896#397—471no—
897#397—471no—
898#397—471no—
899#397—471no—
900#397—471no—
901#397C2×D4711yescharacteristic, complemented
902#396—471no—
903#396—471no—
904#396—471no—
905#396C2×D4711yescharacteristic, complemented
906#396C2×D4711yescharacteristic, complemented
907#394—471no—
908#394—471no—
909#394—471no—
910#394—471no—
911#394—471no—
912#394—471no—
913#394—471no—
914#394—471no—
915#394—471no—
916#394—471no—
917#393—471no—
918#393—471no—
919#392—471no—
920#392C2×D4711yescharacteristic
921#391—471no—
922#390—471no—
923#390—471no—
924#389—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388—471no—
932#388—471no—
933#388—471no—
934#387—471no—
935#387—471no—
936#387—471no—
937#386—471no—
938#386—471no—
939#386—471no—
940#386—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386—471no—
946#386—471no—
947#386—471no—
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386C2×D4711yescharacteristic
956#386C2×D4711yescharacteristic
957#386C2×D4711yescharacteristic, complemented
958#386C2×D4711yescharacteristic, complemented
959#385—471no—
960#385—471no—
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385—471no—
966#385—471no—
967#385—471no—
968#385—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385—471no—
982#385C2×D4711yescharacteristic, complemented
983#382—471no—
984#381—471no—
985#381—471no—
986#381—471no—
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380—471no—
993#380—471no—
994#380—471no—
995#380—471no—
996#380C2×D4711yescharacteristic, complemented
997#380C2×D4711yescharacteristic, complemented
998#379—471no—
999#379—471no—
1000#379—471no—
1001#379—471no—
1002C4×C22⋊C4—471no—
1003C2×#95—471no—
1004C2×#95—471no—
1005C47#3677511yescharacteristic, complemented, Sylow
1006C25—471no—
1007C25—471no—
1008C22×Q8—471no—
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4—471no—
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—944no—
1016C22×D4—1882no—
1017C22×D4—1882no—
1018C22×D4C22×D4711yescharacteristic
1019C22×D4C22×D4711yescharacteristic
1020C22×D4C22×D4711yescharacteristic
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4—471no—
1030C23×C4—471no—
1031C23×C4—471no—
1032C23×C4—1882no—
1033C23×C4—1882no—
1034C23×C4—1882no—
1035C23×C4C22×D4711yescharacteristic
1036C23×C4C22×D4711yescharacteristic
1037C23×C4C22×D4711yescharacteristic
1038#126—1882no—
1039#123—42no—
1040#123—42no—
1041#123—1882no—
1042#123—1882no—
1043#123—1882no—
1044#123—1882no—
1045C22⋊Q8—1882no—
1046C22⋊Q8—1882no—
1047C22⋊Q8—1882no—
1048C22⋊Q8—1882no—
1049#121—1882no—
1050#121—1882no—
1051#120—944no—
1052#120—1882no—
1053C4×D4—1882no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4C22×D4711yescharacteristic
1078C2×C4⋊C4C22×D4711yescharacteristic
1079C2×C4⋊C4C22×D4711yescharacteristic
1080C2×C4⋊C4C22×D4711yescharacteristic
1081C2×C4⋊C4C22×D4711yescharacteristic
1082C2×C4⋊C4C22×D4711yescharacteristic
1083C2×C4⋊C4C22×D4711yescharacteristic
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—944no—
1125C2×C22⋊C4—1882no—
1126C2×C22⋊C4—1882no—
1127C2×C22⋊C4—1882no—
1128C2×C22⋊C4—1882no—
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C22⋊C4C22×D4711yescharacteristic
1131C2×C22⋊C4C22×D4711yescharacteristic
1132C2×C22⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C22⋊C4C22×D4711yescharacteristic
1140C2×C22⋊C4C22×D4711yescharacteristic
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183#95C22×D4711yescharacteristic
1184#95C22×D4711yescharacteristic
1185#95C22×D4711yescharacteristic
1186#95C22×D4711yescharacteristic
1187#95C22×D4711yescharacteristic
1188C24—471no—
1189C24—471no—
1190C24—471no—
1191C24—474no—
1192C24—942no—
1193C24—942no—
1194C24—942no—
1195C24—942no—
1196C24—942no—
1197C24—942no—
1198C24—942no—
1199C24—1881no—
1200C24—1881no—
1201C24—1881no—
1202C24—1881no—
1203C24—1881no—
1204C24—1881no—
1205C24C23×D4711yescharacteristic
1206C24C23×D4711yescharacteristic
1207C24C23×D4711yescharacteristic
1208C2×Q8—942no—
1209C2×Q8—1881no—
1210C2×Q8—1881no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—942no—
1221C2×D4—942no—
1222C2×D4—942no—
1223C2×D4—942no—
1224C2×D4—942no—
1225C2×D4—942no—
1226C2×D4—942no—
1227C2×D4—942no—
1228C2×D4—942no—
1229C2×D4—942no—
1230C2×D4—942no—
1231C2×D4—1881no—
1232C2×D4—1881no—
1233C2×D4—1881no—
1234C2×D4—1881no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C2×D4—1881no—
1238C2×D4—18816no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—1881no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—18816no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4—1881no—
1294C22×C4—1881no—
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C22×C4C23×D4711yescharacteristic
1305C22×C4C23×D4711yescharacteristic
1306C22×C4C23×D4711yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C4⋊C4—1881no—
1322C4⋊C4—1881no—
1323C4⋊C4—1881no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C4⋊C4—1881no—
1328C4⋊C4—1881no—
1329C4⋊C4—1881no—
1330C4⋊C4—1881no—
1331C4⋊C4—1881no—
1332C4⋊C4—1881no—
1333C4⋊C4—1881no—
1334C4⋊C4—1881no—
1335C4⋊C4—1881no—
1336C4⋊C4—1881no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—942no—
1350C22⋊C4—942no—
1351C22⋊C4—942no—
1352C22⋊C4—942no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—942no—
1357C22⋊C4—942no—
1358C22⋊C4—942no—
1359C22⋊C4—942no—
1360C22⋊C4—942no—
1361C22⋊C4—942no—
1362C22⋊C4—942no—
1363C22⋊C4—942no—
1364C22⋊C4—942no—
1365C22⋊C4—942no—
1366C22⋊C4—942no—
1367C22⋊C4—942no—
1368C22⋊C4—942no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C22⋊C4—1881no—
1384C22⋊C4—1881no—
1385C22⋊C4—1881no—
1386C22⋊C4—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C42—1881no—
1390C42—1881no—
1391C42—1881no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—472no—
1412C23—472no—
1413C23—472no—
1414C23—472no—
1415C23—472no—
1416C23—948no—
1417C23—948no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—941no—
1433C23—941no—
1434C23—3762no—
1435C23—3762no—
1436C23—3762no—
1437C23—3762no—
1438C23—1884no—
1439C23—1884no—
1440C23—1884no—
1441C23—1884no—
1442C23—1884no—
1443C23—1884no—
1444C23—1884no—
1445C23—1884no—
1446C23#41×D4712yes—
1447C23#1309407012yes—
1448C23C24×D4711yescharacteristic
1449Q8—3762no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—3762no—
1454D4—3762no—
1455D4—1884no—
1456D4—1884no—
1457D4—1884no—
1458D4—1884no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—3762no—
1537C2×C4—3762no—
1538C2×C4—3762no—
1539C2×C4—3762no—
1540C2×C4—3762no—
1541C2×C4—1884no—
1542C2×C4—1884no—
1543C2×C4—1884no—
1544C2×C4—1884no—
1545C2×C4—1884no—
1546C2×C4—1884no—
1547C2×C4#1309406912yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—474no—
1570C22—942no—
1571C22—942no—
1572C22—942no—
1573C22—942no—
1574C22—942no—
1575C22—942no—
1576C22—942no—
1577C22—942no—
1578C22—942no—
1579C22—942no—
1580C22—942no—
1581C22—942no—
1582C22—3768no—
1583C22—18816no—
1584C22—1881no—
1585C22—1881no—
1586C22—1881no—
1587C22—1881no—
1588C22—1881no—
1589C22—1881no—
1590C22—1881no—
1591C22—1881no—
1592C22C2×#41×D4711yescharacteristic
1593C22H(5,𝔽2)×D4711yescharacteristic
1594C22H(5,𝔽2)×D4711yescharacteristic
1595C22C2×#1309406911yescharacteristic
1596C22C2×#1309407011yescharacteristic
1597C222−1+4×D4711yescharacteristic
1598C22#1568995811yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C4—1881no—
1615C4—1881no—
1616C4—1881no—
1617C4—1881no—
1618C4—1881no—
1619C4—1881no—
1620C4—1881no—
1621C4—1881no—
1622C4—1881no—
1623C4—1881no—
1624C2—42no—
1625C2—42no—
1626C2—81no—
1627C2—944no—
1628C2—1882no—
1629C2—1882no—
1630C2#539×D4711yescharacteristic
1631C2#2025707211yescharacteristic
1632C2#2025721511yescharacteristic
1633C2#2025753711yescharacteristic
1634C2#2025756911yescharacteristic
1635C2#2025759511yescharacteristic
1636C2#2025760611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2693C2
prime radical#20246755C2
hypercenter#2693D47
hypocenterC47#36775
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2693

Complements

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

NH ≅ G/Ntype
1. #20251677C2semidirect
2. #20251676C2semidirect
3. #20251064C2semidirect
4. #20250632C2semidirect
5. #20250568C2semidirect
6. #20250568C2semidirect
7. #20250531C2semidirect
8. #20250362C2semidirect
9. #20250110C2semidirect
10. #20250104C2semidirect
11. #20250083C2semidirect
12. #20249934C2semidirect
13. #20249930C2semidirect
14. #20249899C2semidirect
15. #20249871C2semidirect
16. #20249813C2semidirect
17. #20249740C2semidirect
18. #20249359C2semidirect
19. #20249340C2semidirect
20. #20247882C2semidirect
21. #20247637C2semidirect
22. #20247217C2semidirect
23. #20247050C2semidirect
24. #20246849C2semidirect
25. #20246780C2semidirect
27. #20246714C2semidirect
28. #20246044C2semidirect
29. #20246001C2semidirect
30. #386×D47C2semidirect
31. C47×#2693C2semidirect
34. C2×#13094019C22semidirect
36. C2×#13094007C22semidirect
38. C2×#13094005C22semidirect
40. C2×#13094004C22semidirect
41. C2×#13094003C22semidirect
42. C2×#13094002C22semidirect
53. C47⋊#401C22semidirect
54. #15689065C22semidirect
55. #15689065C22semidirect
56. #15689064C22semidirect
57. #15689064C22semidirect
58. #15689063C22semidirect
59. #15689063C22semidirect
60. #15689063C22semidirect
61. #15689062C22semidirect
62. #15689062C22semidirect
63. #15689059C22semidirect
64. #15689059C22semidirect
65. #15689057C22semidirect
66. #15689057C22semidirect
67. #15689057C22semidirect
68. #15689056C22semidirect
69. #15689056C22semidirect
70. #15689055C22semidirect
71. #15689052C22semidirect
72. #15689052C22semidirect
73. #15689051C22semidirect
74. #15689049C22semidirect
75. #15689049C22semidirect
76. #15689049C22semidirect
77. #15689048C22semidirect
78. #15689048C22semidirect
79. #15689046C22semidirect
80. #15689046C22semidirect
81. #15689046C22semidirect
87. #15689039C22semidirect
88. #15689039C22semidirect
89. #15689039C22semidirect
91. #15689037C22semidirect
92. #15689035C22semidirect
93. #15689035C22semidirect
95. #15689027C22semidirect
96. #15689026C22semidirect
97. #15689023C22semidirect
98. #15689022C22semidirect
99. #15689017C22semidirect
100. #15689017C22semidirect
101. #15689015C22semidirect
102. #15689013C22semidirect
103. #15689012C22semidirect
104. #15689012C22semidirect
105. #15689011C22semidirect
106. #15689011C22semidirect
107. #15689011C22semidirect
108. #15689009C22semidirect
109. #15689009C22semidirect
110. #15689006C22semidirect
112. #15689003C22semidirect
115. #15689002C22semidirect
127. #15688999C22semidirect
128. #15688999C22semidirect
129. #15688998C22semidirect
130. #15688998C22semidirect
131. #15688998C22semidirect
138. #15688997C22semidirect
139. #15688997C22semidirect
140. #15688997C22semidirect
141. #15688997C22semidirect
142. #15688997C22semidirect
147. #15688994C22semidirect
148. #15688994C22semidirect
149. #15688994C22semidirect
150. #15688994C22semidirect
151. #15688994C22semidirect
152. #15688987C22semidirect
153. #15688986C22semidirect
154. #15688986C22semidirect
155. #15688984C22semidirect
156. #15688983C22semidirect
157. #15688983C22semidirect
159. #15688981C22semidirect
160. #15688981C22semidirect
163. #15688980C22semidirect
164. #15688980C22semidirect
172. C2×#123×C47C22semidirect
173. C2×#123×C47C22semidirect
174. C47×#400C22semidirect
175. C47×#400C22semidirect
176. C47×#397C22semidirect
177. C47×#396C22semidirect
178. C47×#396C22semidirect
182. C47×#386C22semidirect
183. C47×#386C22semidirect
184. C47×#385C22semidirect
185. C47×#380C22semidirect
186. C47×#380C22semidirect
820. #2693D47semidirect
857. C2×#123C2×D47semidirect
858. C2×#123C2×D47semidirect
883. #400C2×D47semidirect
884. #400C2×D47semidirect
901. #397C2×D47semidirect
905. #396C2×D47semidirect
906. #396C2×D47semidirect
957. #386C2×D47semidirect
958. #386C2×D47semidirect
982. #385C2×D47semidirect
996. #380C2×D47semidirect
997. #380C2×D47semidirect
1005. C47#36775semidirect

Maximal subgroups

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

subgroupindex
#202516772
#202516762
#202510642
#202506322
#202505682
#202505312
#202503622
#202501102
#202501042
#202500832
#202499342
#202499302
#202498992
#202498712
#202498132
#202497402
#202493592
#202493402
#202478822
#202476372
#202472172
#202470502
#202468492
#202467802
#202467552
#202467142
#202460442
#202460012
#386×D472
C47×#26932
#3677547