Finite Group Databasebeta

← #26424650

Subgroups — #26424650

Order 12032.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251683C211yesmaximal, characteristic, complemented
2#20251671C211yesmaximal, characteristic, complemented
3#20251030C211yesmaximal, characteristic, complemented
4#20251030C211yesmaximal, characteristic, complemented
5#20250874C211yesmaximal, characteristic, complemented
6#20250778C211yesmaximal, characteristic, complemented
7#20250661C211yesmaximal, characteristic, complemented
8#20250618C211yesmaximal, characteristic, complemented
9#20250600C211yesmaximal, characteristic, complemented
10#20250526C211yesmaximal, characteristic, complemented
11#20250457C211yesmaximal, characteristic, complemented
12#20250141C211yesmaximal, characteristic, complemented
13#20250085C211yesmaximal, characteristic, complemented
14#20250078C211yesmaximal, characteristic, complemented
15#20249996C211yesmaximal, characteristic, complemented
16#20249996C211yesmaximal, characteristic, complemented
17#20249831C211yesmaximal, characteristic, complemented
18#20249631C211yesmaximal, characteristic, complemented
19#20249174C211yesmaximal, characteristic, complemented
20#20249133C211yesmaximal, characteristic, complemented
21#20248314C211yesmaximal, characteristic, complemented
22#20248280C211yesmaximal, characteristic, complemented
23#20246937C211yesmaximal, characteristic, complemented
24#20246922C211yesmaximal, characteristic, complemented
25#20246871C211yesmaximal, characteristic, complemented
26#20246856C211yesmaximal, characteristic, complemented
27#20246822C211yesmaximal, characteristic, complemented
28#20246088C211yesmaximal, characteristic, complemented
29#20246015C211yesmaximal, characteristic, complemented
30C2×#15688994C211yesmaximal, characteristic, complemented
31C47×#2442C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094009C2211yescharacteristic
34C2×#13094009C2211yescharacteristic
35C2×#13094009C2211yescharacteristic
36C2×#13094008C2211yescharacteristic
37C2×#13094008C2211yescharacteristic
38C2×#13094008C2211yescharacteristic
39C2×#13093999C2211yescharacteristic
40C2×#13093999C2211yescharacteristic
41C2×#13093999C2211yescharacteristic
42C2×#13093999C2211yescharacteristic, complemented
43C2×#13093998C2211yescharacteristic
44C2×#13093998C2211yescharacteristic
45C2×#13093998C2211yescharacteristic
46C2×#13093994C2211yescharacteristic
47C2×#13093994C2211yescharacteristic
48C2×#13093994C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C22×Dic47⋊C4C2211yescharacteristic
53C22×(C2×D47)⋊C4C2211yescharacteristic
54C22×(C2×D47)⋊C4C2211yescharacteristic
55#15689065C2211yescharacteristic, complemented
56#15689065C2211yescharacteristic, complemented
57#15689065C2211yescharacteristic, complemented
58#15689060C2211yescharacteristic
59#15689060C2211yescharacteristic
60#15689058C2211yescharacteristic
61#15689058C2211yescharacteristic, complemented
62#15689058C2211yescharacteristic, complemented
63#15689056C2211yescharacteristic, complemented
64#15689056C2211yescharacteristic, complemented
65#15689056C2211yescharacteristic, complemented
66#15689055C2211yescharacteristic, complemented
67#15689055C2211yescharacteristic, complemented
68#15689055C2211yescharacteristic, complemented
69#15689052C2211yescharacteristic
70#15689052C2211yescharacteristic, complemented
71#15689052C2211yescharacteristic, complemented
72#15689052C2211yescharacteristic, complemented
73#15689050C2211yescharacteristic, complemented
74#15689049C2211yescharacteristic, complemented
75#15689045C2211yescharacteristic
76#15689045C2211yescharacteristic
77#15689045C2211yescharacteristic
78#15689045C2211yescharacteristic, complemented
79#15689045C2211yescharacteristic, complemented
80#15689045C2211yescharacteristic, complemented
81#15689045C2211yescharacteristic, complemented
82#15689045C2211yescharacteristic, complemented
83#15689045C2211yescharacteristic, complemented
84#15689045C2211yescharacteristic, complemented
85#15689041C2211yescharacteristic
86#15689041C2211yescharacteristic
87#15689041C2211yescharacteristic, complemented
88#15689041C2211yescharacteristic, complemented
89#15689040C2211yescharacteristic
90#15689040C2211yescharacteristic
91#15689040C2211yescharacteristic
92#15689040C2211yescharacteristic
93#15689040C2211yescharacteristic, complemented
94#15689040C2211yescharacteristic, complemented
95#15689040C2211yescharacteristic, complemented
96#15689033C2211yescharacteristic
97#15689033C2211yescharacteristic
98#15689033C2211yescharacteristic
99#15689025C2211yescharacteristic
100#15689025C2211yescharacteristic
101#15689025C2211yescharacteristic
102#15689025C2211yescharacteristic
103#15689024C2211yescharacteristic
104#15689024C2211yescharacteristic, complemented
105#15689022C2211yescharacteristic, complemented
106#15689022C2211yescharacteristic, complemented
107#15689015C2211yescharacteristic
108#15689015C2211yescharacteristic
109#15689015C2211yescharacteristic
110#15689015C2211yescharacteristic, complemented
111#15689014C2211yescharacteristic, complemented
112#15689014C2211yescharacteristic, complemented
113#15689013C2211yescharacteristic
114#15689013C2211yescharacteristic, complemented
115#15689013C2211yescharacteristic, complemented
116#15689012C2211yescharacteristic
117#15689010C2211yescharacteristic, complemented
118#15689009C2211yescharacteristic, complemented
119#15689007C2211yescharacteristic, complemented
120#15689007C2211yescharacteristic, complemented
121#15689006C2211yescharacteristic, complemented
122#15689006C2211yescharacteristic, complemented
123#15689002C2211yescharacteristic
124#15689002C2211yescharacteristic
125#15689001C2211yescharacteristic
126#15689001C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic, complemented
136#15689001C2211yescharacteristic, complemented
137#15689001C2211yescharacteristic, complemented
138#15689000C2211yescharacteristic
139#15689000C2211yescharacteristic
140#15689000C2211yescharacteristic
141#15689000C2211yescharacteristic
142#15688995C2211yescharacteristic
143#15688995C2211yescharacteristic
144#15688994C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic
148#15688994C2211yescharacteristic
149#15688994C2211yescharacteristic
150#15688994C2211yescharacteristic
151#15688994C2211yescharacteristic
152#15688994C2211yescharacteristic
153#15688994C2211yescharacteristic
154#15688994C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic, complemented
156#15688994C2211yescharacteristic, complemented
157#15688990C2211yescharacteristic, complemented
158#15688987C2211yescharacteristic, complemented
159#15688985C2211yescharacteristic
160#15688985C2211yescharacteristic
161#15688985C2211yescharacteristic, complemented
162#15688985C2211yescharacteristic, complemented
163#15688984C2211yescharacteristic
164#15688982C2211yescharacteristic, complemented
165#15688980C2211yescharacteristic
166#15688980C2211yescharacteristic
167#15688980C2211yescharacteristic, complemented
168#15688980C2211yescharacteristic, complemented
169#15688978C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×#125×C47C2211yescharacteristic, complemented
173C22×C4⋊C4×C47C2211yescharacteristic
174C47×#400C2211yescharacteristic, complemented
175C47×#400C2211yescharacteristic, complemented
176C47×#398C2211yescharacteristic, complemented
177C47×#398C2211yescharacteristic, complemented
178C47×#389C2211yescharacteristic, complemented
179C47×#389C2211yescharacteristic, complemented
180C47×#385C2211yescharacteristic
181C47×#385C2211yescharacteristic
182C47×#382C2211yescharacteristic, complemented
183C47×#380C2211yescharacteristic
184C47×#380C2211yescharacteristic
185C47×#380C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×D188C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C22×C4×D47—42no—
204C22×C4×D47—42no—
205C22×C4×D47—42no—
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213#13094009—42no—
214#13094009—42no—
215#13094009—42no—
216#13094008—42no—
217#13094008—42no—
218#13094008—42no—
219#13093999—42no—
220#13093999—42no—
221#13093999—42no—
222#13093999—42no—
223#13093998—24no—
224#13093998—42no—
225#13093998—42no—
226#13093994—42no—
227#13093994—42no—
228#13093994—42no—
229C4×C22⋊D47—24no—
230(C22⋊D47)⋊C4—42no—
231(C22⋊D47)⋊C4—42no—
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×Dic47⋊C4—42no—
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
252C2×Dic47⋊C4C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×(C2×D47)⋊C4—24no—
255C2×(C2×D47)⋊C4—42no—
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×(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
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
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
332C23×C4×C47C2311yescharacteristic
333C23×C4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335#125×C47—42no—
336C2×C4⋊C4×C47—42no—
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×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C4⋊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
370C23×D47—22no—
371C23×D47—22no—
372C23×D47—22no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—41no—
376C23×D47—41no—
377C23×D47C2411yescharacteristic
378C23×D47C2411yescharacteristic
379C23×D47C2411yescharacteristic
380C23×D47C2411yescharacteristic
381C23×D47C2411yescharacteristic
382C22×C4×C47—22no—
383C22×C4×C47—22no—
384C22×C4×C47—22no—
385C22×C4×C47—41no—
386C22×C4×C47—41no—
387C22×C4×C47—41no—
388C22×C4×C47—41no—
389C22×C4×C47—41no—
390C22×C4×C47#4114yes—
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
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
405C2×C22⋊D47—22no—
406C2×C22⋊D47—22no—
407C2×C22⋊D47—22no—
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C22×Dic47—22no—
415C22×Dic47—22no—
416C22×Dic47—22no—
417C22×Dic47—22no—
418C22×Dic47—22no—
419C22×Dic47—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
434C2×D188—22no—
435C2×D188—22no—
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×D188—41no—
449C2×D188—41no—
450C2×D188—41no—
451C2×D188—41no—
452C2×D188—41no—
453C2×D188—41no—
454C2×D188—41no—
455C2×D188—41no—
456C2×D188—41no—
457C2×D188—41no—
458C2×D188—41no—
459C2×D188—41no—
460C2×D188—41no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—22no—
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—
483C4⋊C4×C47—22no—
484C4⋊C4×C47—22no—
485C4⋊C4×C47—22no—
486C4⋊C4×C47—22no—
487C4⋊C4×C47—41no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C4⋊C4×C47—41no—
494C4⋊C4×C47—41no—
495C4⋊C4×C47—41no—
496C4⋊C4×C47—41no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—22no—
499C22⋊C4×C47—22no—
500C22⋊C4×C47—22no—
501C42×C47—41no—
502C42×C47—41no—
503C22⋊Dic47—22no—
504(C2×D47)⋊C4—22no—
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—41no—
517(C2×D47)⋊C4—41no—
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—
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—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549C4⋊Dic47—22no—
550C4⋊Dic47—41no—
551C4⋊Dic47—41no—
552C4⋊Dic47—41no—
553C4⋊Dic47—41no—
554C4⋊Dic47—41no—
555C4⋊Dic47—41no—
556C4⋊Dic47—41no—
557C4⋊Dic47—41no—
558Dic47⋊C4—22no—
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—
569C4×Dic47—22no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47C2×#4112yes—
577C23×C47H(5,𝔽2)12yes—
578C23×C47H(5,𝔽2)12yes—
579C23×C47C2511yescharacteristic
580C22×D47—28no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—21no—
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—21no—
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—21no—
613C22×D47—21no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47—44no—
617C22×D47—44no—
618C22×D47—44no—
619C22×D47—44no—
620C22×D47H(5,𝔽2)12yes—
621C22×D472−1+412yes—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
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—44no—
662C2×C4×C47—44no—
663C2×C4×C47—82no—
664C2×C4×C47C2×#4112yes—
665C2×C4×C47C2×#4112yes—
666C2×C4×C47H(5,𝔽2)12yes—
667C22⋊D47—44no—
668C22⋊D47—44no—
669C22⋊D47—44no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
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—44no—
704C2×Dic47—44no—
705C2×Dic47—82no—
706D188—82no—
707D188—82no—
708D188—82no—
709D188—82no—
710D188—82no—
711D188—82no—
712D188—82no—
713D188—82no—
714D188—82no—
715C4×D47—44no—
716C4×D47—44no—
717C4×D47—44no—
718C4×D47—44no—
719C4×D47—82no—
720C4×D47—82no—
721C4×D47—82no—
722#36777—471nomaximal, Sylow
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47#54014yes—
730C22×C47C22×#4111yescharacteristic
731C22×C47C2×H(5,𝔽2)11yescharacteristic
732C22×C47C2×H(5,𝔽2)11yescharacteristic
733C22×C47C2×H(5,𝔽2)11yescharacteristic
734C22×C47C2×H(5,𝔽2)11yescharacteristic
735C22×C47C2×2−1+411yescharacteristic
736C22×C47#58511yescharacteristic
737C2×D47—22no—
738C2×D47—22no—
739C2×D47—22no—
740C2×D47—22no—
741C2×D47—22no—
742C2×D47—22no—
743C2×D47—416no—
744C2×D47—41no—
745C2×D47—41no—
746C2×D47—41no—
747C2×D47—41no—
748C2×D47—41no—
749C2×D47—41no—
750C2×D47—41no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
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—
773C4×C47—22no—
774C4×C47—22no—
775C4×C47—22no—
776C4×C47—41no—
777C4×C47—41no—
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—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798#2849—471no—
799#2847—471no—
800#2780—471no—
801#2780—471no—
802#2768—471no—
803#2761—471no—
804#2753—471no—
805#2749—471no—
806#2748—471no—
807#2743—471no—
808#2738—471no—
809#2711—471no—
810#2707—471no—
811#2706—471no—
812#2701—471no—
813#2701—471no—
814#2688—471no—
815#2671—471no—
816#2623—471no—
817#2618—471no—
818#2539—471no—
819#2534—471no—
820#2442D4711yescharacteristic, complemented
821#2425—471no—
822#2424—471no—
823#2419—471no—
824#2418—471no—
825#2416—471no—
826#2325—471no—
827#2318—471no—
828C2×#385—471no—
829C2×C47—24no—
830C2×C47C2×#54011yescharacteristic
831C2×C47#349211yescharacteristic
832C2×C47#350511yescharacteristic
833C2×C47#353211yescharacteristic
834C2×C47#353411yescharacteristic
835C2×C47#353511yescharacteristic
836C2×C47#353611yescharacteristic
837D47—42no—
838D47—42no—
839D47—81no—
840D47—81no—
841D47—81no—
842C24×C4—471no—
843C2×#125C2×D4711yescharacteristic, complemented
844C2×#123—471no—
845C2×#123—471no—
846C2×#123—471no—
847C2×#123—471no—
848C2×#123—471no—
849C2×#123—471no—
850C2×#121—471no—
851C2×#121—471no—
852C2×#121—471no—
853C2×#121—471no—
854C2×#121—471no—
855C2×#121—471no—
856C2×#121—471no—
857C2×#120—471no—
858C2×#120—471no—
859C2×#120—471no—
860C2×C4×D4—471no—
861C2×C4×D4—471no—
862C2×C4×D4—471no—
863C22×C4⋊C4—471no—
864C22×C4⋊C4C2×D4711yescharacteristic
865C22×C22⋊C4—471no—
866C22×C22⋊C4—471no—
867#400—471no—
868#400—471no—
869#400—471no—
870#400C2×D4711yescharacteristic, complemented
871#400C2×D4711yescharacteristic, complemented
872#399—471no—
873#399—471no—
874#399—471no—
875#399—471no—
876#399—471no—
877#398—471no—
878#398—471no—
879#398—471no—
880#398—471no—
881#398—471no—
882#398—471no—
883#398C2×D4711yescharacteristic, complemented
884#398C2×D4711yescharacteristic, complemented
885#397—471no—
886#397—471no—
887#397—471no—
888#397—471no—
889#397—471no—
890#397—471no—
891#396—471no—
892#396—471no—
893#396—471no—
894#396—471no—
895#396—471no—
896#396—471no—
897#396—471no—
898#396—471no—
899#396—471no—
900#396—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#392—471no—
913#392—471no—
914#392—471no—
915#390—471no—
916#390—471no—
917#390—471no—
918#390—471no—
919#390—471no—
920#390—471no—
921#389—471no—
922#389—471no—
923#389C2×D4711yescharacteristic, complemented
924#389C2×D4711yescharacteristic, complemented
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#388—471no—
935#387—471no—
936#387—471no—
937#387—471no—
938#387—471no—
939#387—471no—
940#387—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#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—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#385C2×D4711yescharacteristic
976#385C2×D4711yescharacteristic
977#383—471no—
978#382—471no—
979#382C2×D4711yescharacteristic, complemented
980#381—471no—
981#381—471no—
982#381—471no—
983#381—471no—
984#381—471no—
985#380—471no—
986#380—471no—
987#380—471no—
988#380—471no—
989#380—471no—
990#380C2×D4711yescharacteristic
991#380C2×D4711yescharacteristic
992#380C2×D4711yescharacteristic
993#379—471no—
994C4×C22⋊C4C2×D4711yescharacteristic
995C2×#95—471no—
996C2×#95—471no—
997C47#3677711yescharacteristic, complemented, Sylow
998C25—471no—
999C22×D4—471no—
1000C22×D4—471no—
1001C22×D4—471no—
1002C22×D4—471no—
1003C22×D4—471no—
1004C22×D4—471no—
1005C22×D4—471no—
1006C22×D4—471no—
1007C22×D4—471no—
1008C22×D4—471no—
1009C22×D4—471no—
1010C22×D4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—1882no—
1022C23×C4—1882no—
1023C23×C4—1882no—
1024C23×C4C22×D4711yescharacteristic
1025C23×C4C22×D4711yescharacteristic
1026C23×C4C22×D4711yescharacteristic
1027#125—42no—
1028#123—1882no—
1029#123—1882no—
1030#123—1882no—
1031#123—1882no—
1032#123—1882no—
1033#123—1882no—
1034#121—944no—
1035#121—1882no—
1036#121—1882no—
1037#121—1882no—
1038#121—1882no—
1039#121—1882no—
1040#121—1882no—
1041#120—1882no—
1042#120—1882no—
1043#120—1882no—
1044C4×D4—944no—
1045C4×D4—1882no—
1046C4×D4—1882no—
1047C2×C4⋊C4—42no—
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×C4⋊C4C22×D4711yescharacteristic
1078C2×C4⋊C4C22×D4711yescharacteristic
1079C2×C4⋊C4C22×D4711yescharacteristic
1080C2×C4⋊C4C22×D4711yescharacteristic
1081C2×C4⋊C4C22×D4711yescharacteristic
1082C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—944no—
1130C2×C22⋊C4—1882no—
1131C2×C22⋊C4C22×D4711yescharacteristic
1132C2×C22⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C42—471no—
1136C2×C42—471no—
1137C2×C42—471no—
1138C2×C42C22×D4711yescharacteristic
1139C2×C42C22×D4711yescharacteristic
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—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#95C22×D4711yescharacteristic
1169#95C22×D4711yescharacteristic
1170#95C22×D4711yescharacteristic
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
1180C24—471no—
1181C24—471no—
1182C24—471no—
1183C24—471no—
1184C24—471no—
1185C24—942no—
1186C24—942no—
1187C24—942no—
1188C24—942no—
1189C24—942no—
1190C24—1881no—
1191C24—1881no—
1192C24C23×D4711yescharacteristic
1193C2×D4—942no—
1194C2×D4—942no—
1195C2×D4—942no—
1196C2×D4—942no—
1197C2×D4—942no—
1198C2×D4—942no—
1199C2×D4—942no—
1200C2×D4—942no—
1201C2×D4—942no—
1202C2×D4—942no—
1203C2×D4—942no—
1204C2×D4—942no—
1205C2×D4—942no—
1206C2×D4—942no—
1207C2×D4—942no—
1208C2×D4—942no—
1209C2×D4—942no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C2×D4—1881no—
1215C2×D4—1881no—
1216C2×D4—1881no—
1217C2×D4—1881no—
1218C2×D4—1881no—
1219C2×D4—1881no—
1220C2×D4—1881no—
1221C2×D4—1881no—
1222C2×D4—1881no—
1223C2×D4—1881no—
1224C2×D4—1881no—
1225C2×D4—1881no—
1226C2×D4—1881no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—41no—
1233C22×C4—41no—
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—942no—
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—1881no—
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—18816no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4#1062535414yes—
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
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C22×C4C23×D4711yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—942no—
1309C4⋊C4—942no—
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—
1323C4⋊C4—1881no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C4⋊C4—1881no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—942no—
1333C22⋊C4—942no—
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—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
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—
1378C42—41no—
1379C42—41no—
1380C42—942no—
1381C42—1881no—
1382C42—1881no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—472no—
1388C23—472no—
1389C23—948no—
1390C23—941no—
1391C23—941no—
1392C23—941no—
1393C23—941no—
1394C23—941no—
1395C23—941no—
1396C23—941no—
1397C23—941no—
1398C23—941no—
1399C23—941no—
1400C23—941no—
1401C23—941no—
1402C23—941no—
1403C23—941no—
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—1884no—
1424C23—1884no—
1425C23—1884no—
1426C23—1884no—
1427C23—1884no—
1428C23—1884no—
1429C23C2×#1062535412yes—
1430C23#1309407012yes—
1431C23#1309407012yes—
1432C23C24×D4711yescharacteristic
1433D4—3762no—
1434D4—3762no—
1435D4—3762no—
1436D4—3762no—
1437D4—3762no—
1438D4—3762no—
1439D4—3762no—
1440D4—3762no—
1441D4—3762no—
1442D4—1884no—
1443D4—1884no—
1444D4—1884no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
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—44no—
1485C2×C4—44no—
1486C2×C4—82no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
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—3762no—
1521C2×C4—3762no—
1522C2×C4—3762no—
1523C2×C4—3762no—
1524C2×C4—1884no—
1525C2×C4—1884no—
1526C2×C4—1884no—
1527C2×C4—1884no—
1528C2×C4—1884no—
1529C2×C4—1884no—
1530C2×C4C2×#1062535412yes—
1531C2×C4C2×#1062535412yes—
1532C2×C4#1309406912yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—942no—
1540C22—942no—
1541C22—942no—
1542C22—942no—
1543C22—942no—
1544C22—942no—
1545C22—18816no—
1546C22—1881no—
1547C22—1881no—
1548C22—1881no—
1549C22—1881no—
1550C22—1881no—
1551C22—1881no—
1552C22—1881no—
1553C22—1881no—
1554C22—1881no—
1555C22—1881no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22—1881no—
1561C22—1881no—
1562C22—1881no—
1563C22—1881no—
1564C22—1881no—
1565C22—1881no—
1566C22—1881no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22#1568972914yes—
1576C22C22×#1062535411yescharacteristic
1577C22H(5,𝔽2)×D4711yescharacteristic
1578C22C2×#1309406911yescharacteristic
1579C22C2×#1309407011yescharacteristic
1580C22C2×#1309407011yescharacteristic
1581C222−1+4×D4711yescharacteristic
1582C22#1568995911yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—1881no—
1598C4—1881no—
1599C4—1881no—
1600C4—1881no—
1601C4—1881no—
1602C4—1881no—
1603C4—1881no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C2—24no—
1609C2—3761no—
1610C2—3761no—
1611C2—3761no—
1612C2—1882no—
1613C2—1882no—
1614C2C2×#1568972911yescharacteristic
1615C2#2025709811yescharacteristic
1616C2#2025722911yescharacteristic
1617C2#2025753711yescharacteristic
1618C2#2025756511yescharacteristic
1619C2#2025760011yescharacteristic
1620C2#2025760411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2442C2
hypercenter#2442D47
hypocenterC47#36777
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2442

Complements

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

NH ≅ G/Ntype
1. #20251683C2semidirect
2. #20251671C2semidirect
3. #20251030C2semidirect
4. #20251030C2semidirect
5. #20250874C2semidirect
6. #20250778C2semidirect
7. #20250661C2semidirect
8. #20250618C2semidirect
9. #20250600C2semidirect
10. #20250526C2semidirect
11. #20250457C2semidirect
12. #20250141C2semidirect
13. #20250085C2semidirect
14. #20250078C2semidirect
15. #20249996C2semidirect
16. #20249996C2semidirect
17. #20249831C2semidirect
18. #20249631C2semidirect
19. #20249174C2semidirect
20. #20249133C2semidirect
21. #20248314C2semidirect
22. #20248280C2semidirect
23. #20246937C2semidirect
24. #20246922C2semidirect
25. #20246871C2semidirect
26. #20246856C2semidirect
27. #20246822C2semidirect
28. #20246088C2semidirect
29. #20246015C2semidirect
30. C2×#15688994C2semidirect
31. C47×#2442C2semidirect
42. C2×#13093999C22semidirect
55. #15689065C22semidirect
56. #15689065C22semidirect
57. #15689065C22semidirect
61. #15689058C22semidirect
62. #15689058C22semidirect
63. #15689056C22semidirect
64. #15689056C22semidirect
65. #15689056C22semidirect
66. #15689055C22semidirect
67. #15689055C22semidirect
68. #15689055C22semidirect
70. #15689052C22semidirect
71. #15689052C22semidirect
72. #15689052C22semidirect
73. #15689050C22semidirect
74. #15689049C22semidirect
78. #15689045C22semidirect
79. #15689045C22semidirect
80. #15689045C22semidirect
81. #15689045C22semidirect
82. #15689045C22semidirect
83. #15689045C22semidirect
84. #15689045C22semidirect
87. #15689041C22semidirect
88. #15689041C22semidirect
93. #15689040C22semidirect
94. #15689040C22semidirect
95. #15689040C22semidirect
104. #15689024C22semidirect
105. #15689022C22semidirect
106. #15689022C22semidirect
110. #15689015C22semidirect
111. #15689014C22semidirect
112. #15689014C22semidirect
114. #15689013C22semidirect
115. #15689013C22semidirect
117. #15689010C22semidirect
118. #15689009C22semidirect
119. #15689007C22semidirect
120. #15689007C22semidirect
121. #15689006C22semidirect
122. #15689006C22semidirect
135. #15689001C22semidirect
136. #15689001C22semidirect
137. #15689001C22semidirect
154. #15688994C22semidirect
155. #15688994C22semidirect
156. #15688994C22semidirect
157. #15688990C22semidirect
158. #15688987C22semidirect
161. #15688985C22semidirect
162. #15688985C22semidirect
164. #15688982C22semidirect
167. #15688980C22semidirect
168. #15688980C22semidirect
172. C2×#125×C47C22semidirect
174. C47×#400C22semidirect
175. C47×#400C22semidirect
176. C47×#398C22semidirect
177. C47×#398C22semidirect
178. C47×#389C22semidirect
179. C47×#389C22semidirect
182. C47×#382C22semidirect
820. #2442D47semidirect
843. C2×#125C2×D47semidirect
870. #400C2×D47semidirect
871. #400C2×D47semidirect
883. #398C2×D47semidirect
884. #398C2×D47semidirect
923. #389C2×D47semidirect
924. #389C2×D47semidirect
979. #382C2×D47semidirect
997. C47#36777semidirect

Maximal subgroups

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

subgroupindex
#202516832
#202516712
#202510302
#202508742
#202507782
#202506612
#202506182
#202506002
#202505262
#202504572
#202501412
#202500852
#202500782
#202499962
#202498312
#202496312
#202491742
#202491332
#202483142
#202482802
#202469372
#202469222
#202468712
#202468562
#202468222
#202460882
#202460152
C2×#156889942
C47×#24422
#3677747