Finite Group Databasebeta

← #26425579

Subgroups — #26425579

Order 12032.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251706C211yesmaximal, characteristic, complemented
2#20251697C211yesmaximal, characteristic, complemented
3#20251104C211yesmaximal, characteristic, complemented
4#20250720C211yesmaximal, characteristic, complemented
5#20250489C211yesmaximal, characteristic, complemented
6#20250442C211yesmaximal, characteristic, complemented
7#20250306C211yesmaximal, characteristic, complemented
8#20250146C211yesmaximal, characteristic, complemented
9#20250138C211yesmaximal, characteristic, complemented
10#20250088C211yesmaximal, characteristic, complemented
11#20250069C211yesmaximal, characteristic, complemented
12#20250063C211yesmaximal, characteristic, complemented
13#20250059C211yesmaximal, characteristic, complemented
14#20249931C211yesmaximal, characteristic, complemented
15#20249906C211yesmaximal, characteristic, complemented
16#20249873C211yesmaximal, characteristic, complemented
17#20249737C211yesmaximal, characteristic, complemented
18#20249194C211yesmaximal, characteristic, complemented
19#20249162C211yesmaximal, characteristic, complemented
20#20247635C211yesmaximal, characteristic, complemented
21#20247524C211yesmaximal, characteristic, complemented
22#20247202C211yesmaximal, characteristic, complemented
23#20247052C211yesmaximal, characteristic, complemented
24#20246855C211yesmaximal, characteristic, complemented
25#20246777C211yesmaximal, characteristic, complemented
26#20246761C211yesmaximal, characteristic
27#20246710C211yesmaximal, characteristic, complemented
28#20246050C211yesmaximal, characteristic, complemented
29#20245999C211yesmaximal, characteristic, complemented
30#390×D47C211yesmaximal, characteristic, complemented
31C47×#2796C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C2×#13094019C2211yescharacteristic, complemented
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094015C2211yescharacteristic, complemented
36C2×#13094015C2211yescharacteristic, complemented
37C2×#13094009C2211yescharacteristic
38C2×#13094009C2211yescharacteristic, complemented
39C2×#13094006C2211yescharacteristic
40C2×#13094006C2211yescharacteristic, complemented
41C2×#13094004C2211yescharacteristic
42C2×#13094002C2211yescharacteristic, complemented
43C2×#13094001C2211yescharacteristic, complemented
44C2×#13093998C2211yescharacteristic
45C2×#13093996C2211yescharacteristic
46C2×#13093994C2211yescharacteristic
47C2×#13093994C2211yescharacteristic
48C2×C4×D188C2211yescharacteristic
49C2×C4⋊C4×D47C2211yescharacteristic
50C22×(C2×D47)⋊C4C2211yescharacteristic
51C2×C22⋊C4×D47C2211yescharacteristic
52C2×C22⋊C4×D47C2211yescharacteristic
53C2×C22⋊C4×D47C2211yescharacteristic
54C2×C22⋊C4×D47C2211yescharacteristic
55C2×C22⋊C4×D47C2211yescharacteristic
56C2×C42×D47C2211yescharacteristic
57#15689060C2211yescharacteristic, complemented
58#15689060C2211yescharacteristic, complemented
59#15689060C2211yescharacteristic, complemented
60#15689058C2211yescharacteristic, complemented
61#15689057C2211yescharacteristic, complemented
62#15689057C2211yescharacteristic, complemented
63#15689055C2211yescharacteristic, complemented
64#15689054C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic, complemented
67#15689051C2211yescharacteristic, complemented
68#15689051C2211yescharacteristic, complemented
69#15689050C2211yescharacteristic, complemented
70#15689050C2211yescharacteristic, complemented
71#15689048C2211yescharacteristic, complemented
72#15689046C2211yescharacteristic, complemented
73#15689046C2211yescharacteristic, complemented
74#15689046C2211yescharacteristic, complemented
75#15689045C2211yescharacteristic, complemented
76#15689045C2211yescharacteristic, complemented
77#15689045C2211yescharacteristic, complemented
78#15689045C2211yescharacteristic, complemented
79#15689045C2211yescharacteristic, complemented
80#15689044C2211yescharacteristic, complemented
81#15689041C2211yescharacteristic
82#15689041C2211yescharacteristic, complemented
83#15689040C2211yescharacteristic, complemented
84#15689040C2211yescharacteristic, complemented
85#15689039C2211yescharacteristic
86#15689039C2211yescharacteristic
87#15689039C2211yescharacteristic, complemented
88#15689039C2211yescharacteristic, complemented
89#15689039C2211yescharacteristic, complemented
90#15689038C2211yescharacteristic
91#15689038C2211yescharacteristic, complemented
92#15689038C2211yescharacteristic, complemented
93#15689037C2211yescharacteristic
94#15689036C2211yescharacteristic, complemented
95#15689036C2211yescharacteristic, complemented
96#15689035C2211yescharacteristic, complemented
97#15689033C2211yescharacteristic
98#15689032C2211yescharacteristic
99#15689026C2211yescharacteristic
100#15689025C2211yescharacteristic
101#15689024C2211yescharacteristic
102#15689024C2211yescharacteristic, complemented
103#15689023C2211yescharacteristic
104#15689023C2211yescharacteristic
105#15689023C2211yescharacteristic
106#15689023C2211yescharacteristic
107#15689023C2211yescharacteristic, complemented
108#15689021C2211yescharacteristic, complemented
109#15689021C2211yescharacteristic, complemented
110#15689020C2211yescharacteristic, complemented
111#15689016C2211yescharacteristic, complemented
112#15689016C2211yescharacteristic, complemented
113#15689016C2211yescharacteristic, complemented
114#15689015C2211yescharacteristic, complemented
115#15689015C2211yescharacteristic, complemented
116#15689014C2211yescharacteristic, complemented
117#15689014C2211yescharacteristic, complemented
118#15689014C2211yescharacteristic, complemented
119#15689013C2211yescharacteristic, complemented
120#15689012C2211yescharacteristic, complemented
121#15689010C2211yescharacteristic, complemented
122#15689009C2211yescharacteristic, complemented
123#15689009C2211yescharacteristic, complemented
124#15689008C2211yescharacteristic, complemented
125#15689006C2211yescharacteristic, complemented
126#15689005C2211yescharacteristic, complemented
127#15689005C2211yescharacteristic, complemented
128#15689005C2211yescharacteristic, complemented
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic, complemented
135#15689001C2211yescharacteristic, complemented
136#15689001C2211yescharacteristic, complemented
137#15689000C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic, complemented
140#15688998C2211yescharacteristic, complemented
141#15688998C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic
143#15688997C2211yescharacteristic
144#15688997C2211yescharacteristic
145#15688997C2211yescharacteristic
146#15688997C2211yescharacteristic
147#15688997C2211yescharacteristic
148#15688997C2211yescharacteristic, complemented
149#15688997C2211yescharacteristic, complemented
150#15688996C2211yescharacteristic, complemented
151#15688995C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic
153#15688994C2211yescharacteristic
154#15688994C2211yescharacteristic
155#15688994C2211yescharacteristic
156#15688990C2211yescharacteristic, complemented
157#15688988C2211yescharacteristic, complemented
158#15688985C2211yescharacteristic, complemented
159#15688983C2211yescharacteristic, complemented
160#15688982C2211yescharacteristic
161#15688982C2211yescharacteristic, complemented
162#15688982C2211yescharacteristic, complemented
163#15688980C2211yescharacteristic
164#15688980C2211yescharacteristic
165#15688980C2211yescharacteristic, complemented
166#15688980C2211yescharacteristic, complemented
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169#15688978C2211yescharacteristic
170#15688978C2211yescharacteristic
171#15688970C2211yescharacteristic
172C47×#400C2211yescharacteristic, complemented
173C47×#399C2211yescharacteristic, complemented
174C47×#397C2211yescharacteristic, complemented
175C47×#397C2211yescharacteristic, complemented
176C47×#397C2211yescharacteristic, complemented
177C47×#394C2211yescharacteristic
178C47×#390C2211yescharacteristic
179C47×#389C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#387C2211yescharacteristic, complemented
183C47×#387C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#385C2211yescharacteristic, complemented
186C47×#385C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C2×D4×D47—24no—
199C2×D4×D47—42no—
200C2×D4×D47—42no—
201C23×Dic47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210#13094019—42no—
211#13094019—42no—
212#13094015—42no—
213#13094015—42no—
214#13094009—42no—
215#13094009—42no—
216#13094006—42no—
217#13094006—42no—
218#13094004—42no—
219#13094002—42no—
220#13094001—42no—
221#13093998—42no—
222#13093996—42no—
223#13093994—24no—
224#13093994—42no—
225C4×D188—42no—
226C2×C4⋊Dic47C2311yescharacteristic
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×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C4⋊C4×D47—42no—
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×(C2×D47)⋊C4—42no—
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
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
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C22⋊C4×D47—24no—
300C22⋊C4×D47—42no—
301C22⋊C4×D47—42no—
302C22⋊C4×D47—42no—
303C22⋊C4×D47—42no—
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C42×D47—42no—
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
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C42×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×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
371C23×D47—22no—
372C23×D47—22no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—41no—
377C23×D47—41no—
378C23×D47—41no—
379C23×D47—41no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47#4114yes—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×D4×C47—22no—
390C2×D4×C47—22no—
391C2×D4×C47—41no—
392C22×C4×C47—41no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—41no—
414C2×C22⋊D47—41no—
415C2×C22⋊D47—41no—
416C2×C22⋊D47—41no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C22×Dic47—41no—
421C22×Dic47—41no—
422C22×Dic47—41no—
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435D4×D47—416no—
436C2×D188—22no—
437C2×D188—22no—
438C2×D188—22no—
439C2×D188—22no—
440C2×D188—22no—
441C2×D188—22no—
442C2×D188—41no—
443C2×D188—41no—
444C2×D188—41no—
445C2×D188—41no—
446C2×D188—41no—
447C2×D188—41no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
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×Dic94—41no—
473C2×Dic94—41no—
474C2×Dic94—41no—
475C4⋊C4×C47—22no—
476C4⋊C4×C47—22no—
477C4⋊C4×C47—22no—
478C4⋊C4×C47—41no—
479C4⋊C4×C47—41no—
480C4⋊C4×C47—41no—
481C4⋊C4×C47—41no—
482C4⋊C4×C47—41no—
483C22⋊C4×C47—22no—
484C22⋊C4×C47—22no—
485C22⋊C4×C47—22no—
486C22⋊C4×C47—22no—
487C22⋊C4×C47—41no—
488C22⋊C4×C47—41no—
489C22⋊C4×C47—41no—
490C22⋊C4×C47—41no—
491C22⋊C4×C47—41no—
492C22⋊C4×C47—41no—
493C22⋊C4×C47—41no—
494C42×C47—41no—
495C42×C47—41no—
496C22⋊Dic47—22no—
497C22⋊Dic47—41no—
498C22⋊Dic47—41no—
499C22⋊Dic47—41no—
500C22⋊Dic47—41no—
501C22⋊Dic47—41no—
502C22⋊Dic47—41no—
503C22⋊Dic47—41no—
504C22⋊Dic47—41no—
505(C2×D47)⋊C4—22no—
506(C2×D47)⋊C4—22no—
507(C2×D47)⋊C4—22no—
508(C2×D47)⋊C4—22no—
509(C2×D47)⋊C4—22no—
510(C2×D47)⋊C4—22no—
511(C2×D47)⋊C4—22no—
512(C2×D47)⋊C4—22no—
513(C2×D47)⋊C4—22no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—22no—
516(C2×D47)⋊C4—22no—
517(C2×D47)⋊C4—22no—
518(C2×D47)⋊C4—41no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541C4⋊Dic47—22no—
542C4⋊Dic47—22no—
543C4⋊Dic47—22no—
544C4⋊Dic47—22no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547C4⋊Dic47—41no—
548C4⋊Dic47—41no—
549C4⋊Dic47—41no—
550C4⋊Dic47—41no—
551C4⋊Dic47—41no—
552C4⋊Dic47—41no—
553Dic47⋊C4—22no—
554Dic47⋊C4—22no—
555Dic47⋊C4—22no—
556Dic47⋊C4—22no—
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—
567C4×Dic47—22no—
568C4×Dic47—22no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C23×C47—21no—
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×C47C2×#4112yes—
586C23×C47C2511yescharacteristic
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—28no—
598C22×D47—21no—
599C22×D47—21no—
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—44no—
613C22×D47—44no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47—44no—
617C22×D47—82no—
618C22×D47—82no—
619C22×D47—82no—
620C22×D47—82no—
621C22×D47—82no—
622C22×D47—82no—
623C22×D47—82no—
624C22×D47—82no—
625C22×D47C2×#4112yes—
626C22×D47C2×#4112yes—
627C22×D47H(5,𝔽2)12yes—
628C22×D472−1+412yes—
629D4×C47—44no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
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—82no—
668C2×C4×C47H(5,𝔽2)12yes—
669C2×C4×C47H(5,𝔽2)12yes—
670C22⋊D47—44no—
671C22⋊D47—44no—
672C22⋊D47—82no—
673C22⋊D47—82no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
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—82no—
710C2×Dic47H(5,𝔽2)12yes—
711D188—44no—
712D188—44no—
713D188—82no—
714D188—82no—
715C4×D47—28no—
716C4×D47—44no—
717C4×D47—44no—
718C4×D47—82no—
719C4×D47—82no—
720C4×D47—82no—
721C4×D47—82no—
722C4×D47—82no—
723Dic94—82no—
724#36807—471nomaximal, Sylow
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—41no—
729C22×C47—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47C22×#4111yescharacteristic
740C22×C47C2×H(5,𝔽2)11yescharacteristic
741C22×C47C2×H(5,𝔽2)11yescharacteristic
742C22×C47C2×H(5,𝔽2)11yescharacteristic
743C22×C47C2×H(5,𝔽2)11yescharacteristic
744C22×C47C2×2−1+411yescharacteristic
745C22×C47#58511yescharacteristic
746C2×D47—22no—
747C2×D47—22no—
748C2×D47—22no—
749C2×D47—22no—
750C2×D47—22no—
751C2×D47—22no—
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—41no—
756C2×D47—41no—
757C2×D47—41no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—88no—
774C2×D47—88no—
775C2×D47#53914yes—
776C4×C47—22no—
777C4×C47—22no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789Dic47—22no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801#2852—471no—
802#2851—471no—
803#2796D4711yescharacteristic, complemented
804#2786—471no—
805#2757—471no—
806#2740—471no—
807#2737—471no—
808#2723—471no—
809#2711—471no—
810#2711—471no—
811#2707—471no—
812#2706—471no—
813#2705—471no—
814#2705—471no—
815#2696—471no—
816#2694—471no—
817#2691—471no—
818#2681—471no—
819#2626—471no—
820#2622—471no—
821#2480—471no—
822#2473—471no—
823#2449—471no—
824#2437—471no—
825#2418—471no—
826#2412—471no—
827#2410—471no—
828#2405—471no—
829#2321—471no—
830#2315—471no—
831C2×#390—471no—
832C2×C47—42no—
833C2×C47—81no—
834C2×C47C2×#53911yescharacteristic
835C2×C47#349011yescharacteristic
836C2×C47#350511yescharacteristic
837C2×C47#353611yescharacteristic
838C2×C47#354211yescharacteristic
839C2×C47#354311yescharacteristic
840C2×C47#356111yescharacteristic
841D47—24no—
842D47—42no—
843D47—81no—
844D47—81no—
845C23×D4—471no—
846C2×#126—471no—
847C2×#126—471no—
848C2×#125—471no—
849C2×#125—471no—
850C2×#123—471no—
851C2×#123—471no—
852C2×#123—471no—
853C2×#123—471no—
854C2×C22⋊Q8—471no—
855C2×C22⋊Q8—471no—
856C2×C22⋊Q8—471no—
857C2×#121—471no—
858C2×#121—471no—
859C2×#120—471no—
860C2×#120—471no—
861C2×C4×D4—471no—
862C22×C4⋊C4—471no—
863C22×C22⋊C4—471no—
864C22×C22⋊C4—471no—
865C22×C22⋊C4—471no—
866C22×C22⋊C4—471no—
867C22×C22⋊C4—471no—
868C22×C22⋊C4—471no—
869C22×C42—471no—
870#400C2×D4711yescharacteristic, complemented
871#399—471no—
872#399—471no—
873#399—471no—
874#399—471no—
875#399C2×D4711yescharacteristic, complemented
876#398—471no—
877#398—471no—
878#398—471no—
879#398—471no—
880#397—471no—
881#397—471no—
882#397—471no—
883#397—471no—
884#397—471no—
885#397—471no—
886#397—471no—
887#397C2×D4711yescharacteristic, complemented
888#397C2×D4711yescharacteristic, complemented
889#397C2×D4711yescharacteristic, complemented
890#396—471no—
891#396—471no—
892#396—471no—
893#396—471no—
894#396—471no—
895#396—471no—
896#396—471no—
897#396—471no—
898#395—471no—
899#394—471no—
900#394—471no—
901#394—471no—
902#394—471no—
903#394—471no—
904#394—471no—
905#394—471no—
906#394—471no—
907#394—471no—
908#394—471no—
909#394—471no—
910#394—471no—
911#394—471no—
912#394C2×D4711yescharacteristic
913#393—471no—
914#393—471no—
915#393—471no—
916#392—471no—
917#392—471no—
918#390—471no—
919#390—471no—
920#390—471no—
921#390—471no—
922#390—471no—
923#390—471no—
924#390—471no—
925#390—471no—
926#390—471no—
927#390C2×D4711yescharacteristic
928#389—471no—
929#389—471no—
930#389—471no—
931#389C2×D4711yescharacteristic, complemented
932#388—471no—
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#388—471no—
938#388—471no—
939#388—471no—
940#388—471no—
941#388—471no—
942#388C2×D4711yescharacteristic, complemented
943#388C2×D4711yescharacteristic, complemented
944#387—471no—
945#387—471no—
946#387—471no—
947#387—471no—
948#387—471no—
949#387—471no—
950#387—471no—
951#387—471no—
952#387C2×D4711yescharacteristic, complemented
953#387C2×D4711yescharacteristic, complemented
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386C2×D4711yescharacteristic
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#385C2×D4711yescharacteristic, complemented
984#383—471no—
985#382—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#379—471no—
996#379—471no—
997#379—471no—
998#379—471no—
999C4×C22⋊C4—471no—
1000C47#3680711yescharacteristic, complemented, Sylow
1001C25—471no—
1002C25—471no—
1003C22×Q8—471no—
1004C22×D4—471no—
1005C22×D4—471no—
1006C22×D4—471no—
1007C22×D4—471no—
1008C22×D4—471no—
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4—471no—
1012C22×D4—944no—
1013C22×D4—1882no—
1014C22×D4—1882no—
1015C22×D4C22×D4711yescharacteristic
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4C22×D4711yescharacteristic
1026#126—1882no—
1027#126—1882no—
1028#125—1882no—
1029#125—1882no—
1030#123—1882no—
1031#123—1882no—
1032#123—1882no—
1033#123—1882no—
1034C22⋊Q8—1882no—
1035C22⋊Q8—1882no—
1036C22⋊Q8—1882no—
1037#121—1882no—
1038#121—1882no—
1039#120—944no—
1040#120—1882no—
1041C4×D4—1882no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
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—1882no—
1069C2×C4⋊C4C22×D4711yescharacteristic
1070C2×C4⋊C4C22×D4711yescharacteristic
1071C2×C4⋊C4C22×D4711yescharacteristic
1072C2×C4⋊C4C22×D4711yescharacteristic
1073C2×C4⋊C4C22×D4711yescharacteristic
1074C2×C4⋊C4C22×D4711yescharacteristic
1075C2×C4⋊C4C22×D4711yescharacteristic
1076C2×C4⋊C4C22×D4711yescharacteristic
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
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—944no—
1123C2×C22⋊C4—1882no—
1124C2×C22⋊C4—1882no—
1125C2×C22⋊C4—1882no—
1126C2×C22⋊C4—1882no—
1127C2×C22⋊C4—1882no—
1128C2×C22⋊C4C22×D4711yescharacteristic
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×C42—471no—
1140C2×C42—471no—
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—1882no—
1145C2×C42C22×D4711yescharacteristic
1146C2×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183C24—471no—
1184C24—471no—
1185C24—474no—
1186C24—471no—
1187C24—471no—
1188C24—942no—
1189C24—942no—
1190C24—942no—
1191C24—942no—
1192C24—942no—
1193C24—1881no—
1194C24—1881no—
1195C24—1881no—
1196C24—1881no—
1197C24—1881no—
1198C24—1881no—
1199C24—1881no—
1200C24—1881no—
1201C24C23×D4711yescharacteristic
1202C24C23×D4711yescharacteristic
1203C2×Q8—1881no—
1204C2×Q8—1881no—
1205C2×Q8—1881no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—942no—
1210C2×D4—942no—
1211C2×D4—942no—
1212C2×D4—942no—
1213C2×D4—942no—
1214C2×D4—942no—
1215C2×D4—942no—
1216C2×D4—942no—
1217C2×D4—942no—
1218C2×D4—942no—
1219C2×D4—942no—
1220C2×D4—1881no—
1221C2×D4—1881no—
1222C2×D4—1881no—
1223C2×D4—1881no—
1224C2×D4—1881no—
1225C2×D4—1881no—
1226C2×D4—18816no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C2×D4—1881no—
1230C2×D4—1881no—
1231C2×D4—1881no—
1232C2×D4—1881no—
1233C2×D4—1881no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—471no—
1238C22×C4—471no—
1239C22×C4—471no—
1240C22×C4—471no—
1241C22×C4—471no—
1242C22×C4—471no—
1243C22×C4—471no—
1244C22×C4—471no—
1245C22×C4—471no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—942no—
1250C22×C4—942no—
1251C22×C4—942no—
1252C22×C4—942no—
1253C22×C4—942no—
1254C22×C4—942no—
1255C22×C4—942no—
1256C22×C4—942no—
1257C22×C4—942no—
1258C22×C4—942no—
1259C22×C4—1881no—
1260C22×C4—1881no—
1261C22×C4—1881no—
1262C22×C4—1881no—
1263C22×C4—1881no—
1264C22×C4—1881no—
1265C22×C4—1881no—
1266C22×C4—1881no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4C23×D4711yescharacteristic
1277C22×C4C23×D4711yescharacteristic
1278C22×C4C23×D4711yescharacteristic
1279C22×C4C23×D4711yescharacteristic
1280C22×C4C23×D4711yescharacteristic
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—942no—
1298C4⋊C4—942no—
1299C4⋊C4—942no—
1300C4⋊C4—942no—
1301C4⋊C4—942no—
1302C4⋊C4—942no—
1303C4⋊C4—942no—
1304C4⋊C4—942no—
1305C4⋊C4—1881no—
1306C4⋊C4—1881no—
1307C4⋊C4—1881no—
1308C4⋊C4—1881no—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
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—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—942no—
1335C22⋊C4—942no—
1336C22⋊C4—942no—
1337C22⋊C4—942no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—942no—
1342C22⋊C4—942no—
1343C22⋊C4—942no—
1344C22⋊C4—942no—
1345C22⋊C4—942no—
1346C22⋊C4—942no—
1347C22⋊C4—942no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4—1881no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C22⋊C4—1881no—
1363C22⋊C4—1881no—
1364C22⋊C4—1881no—
1365C22⋊C4—1881no—
1366C22⋊C4—1881no—
1367C22⋊C4—1881no—
1368C22⋊C4—1881no—
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—
1379C42—41no—
1380C42—41no—
1381C42—942no—
1382C42—942no—
1383C42—1881no—
1384C42—1881no—
1385C42—1881no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—472no—
1400C23—472no—
1401C23—472no—
1402C23—472no—
1403C23—948no—
1404C23—941no—
1405C23—941no—
1406C23—941no—
1407C23—941no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—3762no—
1429C23—3762no—
1430C23—3762no—
1431C23—3762no—
1432C23—3762no—
1433C23—3762no—
1434C23—3762no—
1435C23—3762no—
1436C23—1884no—
1437C23—1884no—
1438C23—1884no—
1439C23—1884no—
1440C23—1884no—
1441C23#41×D4712yes—
1442C23C24×D4711yescharacteristic
1443Q8—3762no—
1444D4—44no—
1445D4—3762no—
1446D4—3762no—
1447D4—3762no—
1448D4—3762no—
1449D4—1884no—
1450D4—1884no—
1451D4—1884no—
1452D4—1884no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
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—82no—
1491C2×C4—472no—
1492C2×C4—948no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
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—3762no—
1529C2×C4—3762no—
1530C2×C4—3762no—
1531C2×C4—3762no—
1532C2×C4—3762no—
1533C2×C4—3762no—
1534C2×C4—1884no—
1535C2×C4—1884no—
1536C2×C4#1309407012yes—
1537C2×C4#1309407012yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—474no—
1553C22—942no—
1554C22—942no—
1555C22—942no—
1556C22—942no—
1557C22—942no—
1558C22—942no—
1559C22—942no—
1560C22—942no—
1561C22—942no—
1562C22—3768no—
1563C22—3768no—
1564C22—1881no—
1565C22—1881no—
1566C22—1881no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22—1881no—
1576C22—1881no—
1577C22—1881no—
1578C22—1881no—
1579C22—1881no—
1580C22—1881no—
1581C22—1881no—
1582C22C2×#41×D4711yescharacteristic
1583C22H(5,𝔽2)×D4711yescharacteristic
1584C22H(5,𝔽2)×D4711yescharacteristic
1585C22C2×#1309407011yescharacteristic
1586C22C2×#1309407011yescharacteristic
1587C222−1+4×D4711yescharacteristic
1588C22#1568995811yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—942no—
1603C4—1881no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C2—42no—
1615C2—81no—
1616C2—944no—
1617C2—3761no—
1618C2—3761no—
1619C2—1882no—
1620C2#539×D4711yescharacteristic
1621C2#2025707211yescharacteristic
1622C2#2025721711yescharacteristic
1623C2#2025761211yescharacteristic
1624C2#2025769311yescharacteristic
1625C2#2025772211yescharacteristic
1626C2#2025795911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2796C2
prime radical#20246761C2
hypercenter#2796D47
hypocenterC47#36807
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2796

Complements

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

NH ≅ G/Ntype
1. #20251706C2semidirect
2. #20251697C2semidirect
3. #20251104C2semidirect
4. #20250720C2semidirect
5. #20250489C2semidirect
6. #20250442C2semidirect
7. #20250306C2semidirect
8. #20250146C2semidirect
9. #20250138C2semidirect
10. #20250088C2semidirect
11. #20250069C2semidirect
12. #20250063C2semidirect
13. #20250059C2semidirect
14. #20249931C2semidirect
15. #20249906C2semidirect
16. #20249873C2semidirect
17. #20249737C2semidirect
18. #20249194C2semidirect
19. #20249162C2semidirect
20. #20247635C2semidirect
21. #20247524C2semidirect
22. #20247202C2semidirect
23. #20247052C2semidirect
24. #20246855C2semidirect
25. #20246777C2semidirect
27. #20246710C2semidirect
28. #20246050C2semidirect
29. #20245999C2semidirect
30. #390×D47C2semidirect
31. C47×#2796C2semidirect
33. C2×#13094019C22semidirect
34. C2×#13094019C22semidirect
35. C2×#13094015C22semidirect
36. C2×#13094015C22semidirect
38. C2×#13094009C22semidirect
40. C2×#13094006C22semidirect
42. C2×#13094002C22semidirect
43. C2×#13094001C22semidirect
57. #15689060C22semidirect
58. #15689060C22semidirect
59. #15689060C22semidirect
60. #15689058C22semidirect
61. #15689057C22semidirect
62. #15689057C22semidirect
63. #15689055C22semidirect
64. #15689054C22semidirect
65. #15689052C22semidirect
66. #15689052C22semidirect
67. #15689051C22semidirect
68. #15689051C22semidirect
69. #15689050C22semidirect
70. #15689050C22semidirect
71. #15689048C22semidirect
72. #15689046C22semidirect
73. #15689046C22semidirect
74. #15689046C22semidirect
75. #15689045C22semidirect
76. #15689045C22semidirect
77. #15689045C22semidirect
78. #15689045C22semidirect
79. #15689045C22semidirect
80. #15689044C22semidirect
82. #15689041C22semidirect
83. #15689040C22semidirect
84. #15689040C22semidirect
87. #15689039C22semidirect
88. #15689039C22semidirect
89. #15689039C22semidirect
91. #15689038C22semidirect
92. #15689038C22semidirect
94. #15689036C22semidirect
95. #15689036C22semidirect
96. #15689035C22semidirect
102. #15689024C22semidirect
107. #15689023C22semidirect
108. #15689021C22semidirect
109. #15689021C22semidirect
110. #15689020C22semidirect
111. #15689016C22semidirect
112. #15689016C22semidirect
113. #15689016C22semidirect
114. #15689015C22semidirect
115. #15689015C22semidirect
116. #15689014C22semidirect
117. #15689014C22semidirect
118. #15689014C22semidirect
119. #15689013C22semidirect
120. #15689012C22semidirect
121. #15689010C22semidirect
122. #15689009C22semidirect
123. #15689009C22semidirect
124. #15689008C22semidirect
125. #15689006C22semidirect
126. #15689005C22semidirect
127. #15689005C22semidirect
128. #15689005C22semidirect
134. #15689001C22semidirect
135. #15689001C22semidirect
136. #15689001C22semidirect
139. #15688999C22semidirect
140. #15688998C22semidirect
141. #15688998C22semidirect
148. #15688997C22semidirect
149. #15688997C22semidirect
150. #15688996C22semidirect
151. #15688995C22semidirect
156. #15688990C22semidirect
157. #15688988C22semidirect
158. #15688985C22semidirect
159. #15688983C22semidirect
161. #15688982C22semidirect
162. #15688982C22semidirect
165. #15688980C22semidirect
166. #15688980C22semidirect
172. C47×#400C22semidirect
173. C47×#399C22semidirect
174. C47×#397C22semidirect
175. C47×#397C22semidirect
176. C47×#397C22semidirect
179. C47×#389C22semidirect
180. C47×#388C22semidirect
181. C47×#388C22semidirect
182. C47×#387C22semidirect
183. C47×#387C22semidirect
185. C47×#385C22semidirect
186. C47×#385C22semidirect
803. #2796D47semidirect
870. #400C2×D47semidirect
875. #399C2×D47semidirect
887. #397C2×D47semidirect
888. #397C2×D47semidirect
889. #397C2×D47semidirect
931. #389C2×D47semidirect
942. #388C2×D47semidirect
943. #388C2×D47semidirect
952. #387C2×D47semidirect
953. #387C2×D47semidirect
982. #385C2×D47semidirect
983. #385C2×D47semidirect
1000. C47#36807semidirect

Maximal subgroups

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

subgroupindex
#202517062
#202516972
#202511042
#202507202
#202504892
#202504422
#202503062
#202501462
#202501382
#202500882
#202500692
#202500632
#202500592
#202499312
#202499062
#202498732
#202497372
#202491942
#202491622
#202476352
#202475242
#202472022
#202470522
#202468552
#202467772
#202467612
#202467102
#202460502
#202459992
#390×D472
C47×#27962
#3680747