Finite Group Databasebeta

← #26423454

Subgroups — #26423454

Order 12032.

2034 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251672C211yesmaximal, characteristic, complemented
2#20251669C211yesmaximal, characteristic
3#20250589C211yesmaximal, characteristic, complemented
4#20250585C211yesmaximal, characteristic, complemented
5#20250518C211yesmaximal, characteristic, complemented
6#20250511C211yesmaximal, characteristic, complemented
7#20250507C211yesmaximal, characteristic, complemented
8#20250499C211yesmaximal, characteristic, complemented
9#20250230C211yesmaximal, characteristic, complemented
10#20250227C211yesmaximal, characteristic, complemented
11#20250023C211yesmaximal, characteristic, complemented
12#20250019C211yesmaximal, characteristic, complemented
13#20249880C211yesmaximal, characteristic, complemented
14#20249870C211yesmaximal, characteristic, complemented
15#20249866C211yesmaximal, characteristic, complemented
16#20249646C211yesmaximal, characteristic, complemented
17#20249635C211yesmaximal, characteristic, complemented
18#20249501C211yesmaximal, characteristic, complemented
19#20249317C211yesmaximal, characteristic, complemented
20#20247653C211yesmaximal, characteristic, complemented
21#20247650C211yesmaximal, characteristic, complemented
22#20247520C211yesmaximal, characteristic, complemented
23#20247517C211yesmaximal, characteristic, complemented
24#20247194C211yesmaximal, characteristic, complemented
25#20247192C211yesmaximal, characteristic, complemented
26#20246853C211yesmaximal, characteristic, complemented
27#20246849C211yesmaximal, characteristic, complemented
28#20246120C211yesmaximal, characteristic, complemented
29#20246085C211yesmaximal, characteristic, complemented
30#380×D47C211yesmaximal, characteristic, complemented
31C47×#2692C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094018C2211yescharacteristic, complemented
34C2×#13094017C2211yescharacteristic, complemented
35C2×#13094013C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094007C2211yescharacteristic
39C2×#13094004C2211yescharacteristic, complemented
40C2×#13094002C2211yescharacteristic
41C2×#13094000C2211yescharacteristic
42C2×#13094000C2211yescharacteristic
43C2×#13094000C2211yescharacteristic
44C2×#13093997C2211yescharacteristic
45C2×#13093997C2211yescharacteristic
46C2×#13093996C2211yescharacteristic
47C2×#13093994C2211yescharacteristic
48C2×#13093992C2211yescharacteristic
49C2×#13093986C2211yescharacteristic
50C2×C4×C22⋊D47C2211yescharacteristic
51C2×C4⋊C4×D47C2211yescharacteristic
52C2×C4⋊C4×D47C2211yescharacteristic
53C2×C22⋊C4×D47C2211yescharacteristic
54C2×C22⋊C4×D47C2211yescharacteristic
55#15689065C2211yescharacteristic, complemented
56#15689064C2211yescharacteristic, complemented
57#15689064C2211yescharacteristic, complemented
58#15689064C2211yescharacteristic, complemented
59#15689064C2211yescharacteristic, complemented
60#15689062C2211yescharacteristic, complemented
61#15689059C2211yescharacteristic
62#15689059C2211yescharacteristic, complemented
63#15689058C2211yescharacteristic, complemented
64#15689057C2211yescharacteristic, complemented
65#15689057C2211yescharacteristic, complemented
66#15689055C2211yescharacteristic, complemented
67#15689053C2211yescharacteristic, complemented
68#15689053C2211yescharacteristic, complemented
69#15689052C2211yescharacteristic
70#15689052C2211yescharacteristic
71#15689052C2211yescharacteristic, complemented
72#15689051C2211yescharacteristic, complemented
73#15689050C2211yescharacteristic, complemented
74#15689049C2211yescharacteristic
75#15689049C2211yescharacteristic
76#15689048C2211yescharacteristic, complemented
77#15689047C2211yescharacteristic, complemented
78#15689046C2211yescharacteristic, complemented
79#15689045C2211yescharacteristic, complemented
80#15689043C2211yescharacteristic, complemented
81#15689043C2211yescharacteristic, complemented
82#15689043C2211yescharacteristic, complemented
83#15689042C2211yescharacteristic, complemented
84#15689042C2211yescharacteristic, complemented
85#15689041C2211yescharacteristic
86#15689040C2211yescharacteristic
87#15689039C2211yescharacteristic
88#15689039C2211yescharacteristic
89#15689039C2211yescharacteristic
90#15689038C2211yescharacteristic
91#15689038C2211yescharacteristic, complemented
92#15689038C2211yescharacteristic, complemented
93#15689037C2211yescharacteristic
94#15689037C2211yescharacteristic
95#15689035C2211yescharacteristic
96#15689034C2211yescharacteristic, complemented
97#15689030C2211yescharacteristic, complemented
98#15689023C2211yescharacteristic
99#15689020C2211yescharacteristic, complemented
100#15689020C2211yescharacteristic, complemented
101#15689018C2211yescharacteristic, complemented
102#15689018C2211yescharacteristic, complemented
103#15689017C2211yescharacteristic
104#15689017C2211yescharacteristic
105#15689016C2211yescharacteristic, complemented
106#15689016C2211yescharacteristic, complemented
107#15689015C2211yescharacteristic
108#15689015C2211yescharacteristic
109#15689015C2211yescharacteristic, complemented
110#15689014C2211yescharacteristic
111#15689013C2211yescharacteristic, complemented
112#15689012C2211yescharacteristic
113#15689011C2211yescharacteristic
114#15689011C2211yescharacteristic
115#15689009C2211yescharacteristic, complemented
116#15689009C2211yescharacteristic, complemented
117#15689008C2211yescharacteristic, complemented
118#15689007C2211yescharacteristic, complemented
119#15689006C2211yescharacteristic, complemented
120#15689006C2211yescharacteristic, complemented
121#15689005C2211yescharacteristic, complemented
122#15689005C2211yescharacteristic, complemented
123#15689005C2211yescharacteristic, complemented
124#15689004C2211yescharacteristic, complemented
125#15689004C2211yescharacteristic, complemented
126#15689002C2211yescharacteristic
127#15689002C2211yescharacteristic, complemented
128#15689001C2211yescharacteristic
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15688999C2211yescharacteristic
134#15688999C2211yescharacteristic
135#15688999C2211yescharacteristic
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic, complemented
140#15688997C2211yescharacteristic
141#15688996C2211yescharacteristic, complemented
142#15688995C2211yescharacteristic
143#15688995C2211yescharacteristic
144#15688994C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic
148#15688994C2211yescharacteristic
149#15688994C2211yescharacteristic, complemented
150#15688994C2211yescharacteristic, complemented
151#15688983C2211yescharacteristic
152#15688983C2211yescharacteristic
153#15688982C2211yescharacteristic
154#15688982C2211yescharacteristic
155#15688982C2211yescharacteristic
156#15688982C2211yescharacteristic
157#15688982C2211yescharacteristic
158#15688981C2211yescharacteristic
159#15688981C2211yescharacteristic
160#15688981C2211yescharacteristic
161#15688980C2211yescharacteristic
162#15688980C2211yescharacteristic
163#15688980C2211yescharacteristic
164#15688980C2211yescharacteristic
165#15688980C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168C4×(C2×D47)⋊C4C2211yescharacteristic
169#15688970C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C2×C22⋊Q8×C47C2211yescharacteristic
173C2×C22⋊Q8×C47C2211yescharacteristic, complemented
174C47×#399C2211yescharacteristic
175C47×#398C2211yescharacteristic, complemented
176C47×#396C2211yescharacteristic, complemented
177C47×#395C2211yescharacteristic, complemented
178C47×#393C2211yescharacteristic
179C47×#393C2211yescharacteristic, complemented
180C47×#391C2211yescharacteristic, complemented
181C47×#390C2211yescharacteristic
182C47×#387C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#385C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C22×C4×D47—24no—
197C22×C4×D47—42no—
198C22×C4×D47—42no—
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208#13094018—42no—
209#13094017—42no—
210#13094013—42no—
211#13094010—42no—
212#13094009—42no—
213#13094007—42no—
214#13094004—42no—
215#13094002—42no—
216#13094000—24no—
217#13094000—42no—
218#13094000—42no—
219#13093997—24no—
220#13093997—42no—
221#13093996—42no—
222#13093994—42no—
223#13093992—42no—
224#13093986—42no—
225C4×C22⋊D47—42no—
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C4⋊C4×D47—42no—
254C4⋊C4×D47—42no—
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)⋊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
291C22⋊C4×D47—42no—
292C22⋊C4×D47—42no—
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
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×Q8×C47C2311yescharacteristic
333C22×Q8×C47C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337C22⋊Q8×C47—42no—
338C22⋊Q8×C47—42no—
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×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×C42×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×D47C2411yescharacteristic
379C23×D47C2411yescharacteristic
380C23×D47C2411yescharacteristic
381C2×Q8×C47—22no—
382C2×Q8×C47—41no—
383C2×Q8×C47—41no—
384C2×Q8×C47—41no—
385C2×Q8×C47—41no—
386C2×Q8×C47—41no—
387C2×D4×C47—22no—
388C2×D4×C47—41no—
389C2×D4×C47—41no—
390C22×C4×C47—22no—
391C22×C4×C47—22no—
392C22×C4×C47—41no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
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
408C22×C4×C47C2411yescharacteristic
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—41no—
416C2×C22⋊D47—41no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C22×Dic47—22no—
422C22×Dic47—22no—
423C22×Dic47—41no—
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C2×D188—22no—
438C2×D188—22no—
439C2×D188—22no—
440C2×D188—22no—
441C2×D188—41no—
442C2×D188—41no—
443C2×C4×D47—22no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
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—416no—
455C2×C4×D47—41no—
456C2×C4×D47—41no—
457C2×C4×D47—41no—
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#4114yes—
471C2×Dic94—41no—
472C2×Dic94—41no—
473C2×Dic94—41no—
474C4⋊C4×C47—22no—
475C4⋊C4×C47—22no—
476C4⋊C4×C47—22no—
477C4⋊C4×C47—41no—
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—41no—
486C22⋊C4×C47—41no—
487C22⋊C4×C47—41no—
488C22⋊C4×C47—41no—
489C22⋊C4×C47—41no—
490C22⋊C4×C47—41no—
491C22⋊C4×C47—41no—
492C22⋊C4×C47—41no—
493C42×C47—41no—
494C22⋊Dic47—22no—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47—41no—
498C22⋊Dic47—41no—
499C22⋊Dic47—41no—
500C22⋊Dic47—41no—
501C22⋊Dic47—41no—
502C22⋊Dic47—41no—
503C22⋊Dic47—41no—
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—22no—
517(C2×D47)⋊C4—22no—
518(C2×D47)⋊C4—22no—
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—
530C4⋊Dic47—22no—
531C4⋊Dic47—22no—
532C4⋊Dic47—41no—
533C4⋊Dic47—41no—
534C4⋊Dic47—41no—
535C4⋊Dic47—41no—
536C4⋊Dic47—41no—
537Dic47⋊C4—22no—
538Dic47⋊C4—22no—
539Dic47⋊C4—22no—
540Dic47⋊C4—22no—
541Dic47⋊C4—22no—
542Dic47⋊C4—22no—
543Dic47⋊C4—22no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557C4×Dic47—41no—
558C4×Dic47—41no—
559C4×Dic47—41no—
560C4×Dic47—41no—
561C4×Dic47—41no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C472−1+412yes—
576C23×C47C2511yescharacteristic
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—21no—
580C22×D47—21no—
581C22×D47—28no—
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—44no—
596C22×D47—44no—
597C22×D47—44no—
598C22×D47—44no—
599C22×D47—44no—
600C22×D47—44no—
601C22×D47C2×#4112yes—
602C22×D47H(5,𝔽2)12yes—
603C22×D47H(5,𝔽2)12yes—
604C22×D472−1+412yes—
605Q8×C47—82no—
606Q8×C47—82no—
607D4×C47—82no—
608C2×C4×C47—21no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
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—44no—
646C2×C4×C47—82no—
647C2×C4×C47C2×#4112yes—
648C2×C4×C47H(5,𝔽2)12yes—
649C22⋊D47—44no—
650C22⋊D47—82no—
651C22⋊D47—82no—
652C22⋊D47—82no—
653C2×Dic47—21no—
654C2×Dic47—21no—
655C2×Dic47—21no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
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—44no—
691C2×Dic47C2×#4112yes—
692C2×Dic47H(5,𝔽2)12yes—
693D188—44no—
694D188—82no—
695C4×D47—28no—
696C4×D47—44no—
697C4×D47—44no—
698C4×D47—44no—
699C4×D47—82no—
700C4×D47—82no—
701C4×D47—82no—
702C4×D47—82no—
703C4×D47—82no—
704Dic94—82no—
705#36729—471nomaximal, Sylow
706C22×C47—22no—
707C22×C47—22no—
708C22×C47—22no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47—41no—
714C22×C47—41no—
715C22×C47—41no—
716C22×C47—41no—
717C22×C47—41no—
718C22×C47—41no—
719C22×C47—41no—
720C22×C47C22×#4111yescharacteristic
721C22×C47C2×H(5,𝔽2)11yescharacteristic
722C22×C47C2×H(5,𝔽2)11yescharacteristic
723C22×C47C2×H(5,𝔽2)11yescharacteristic
724C22×C47C2×H(5,𝔽2)11yescharacteristic
725C22×C47C2×2−1+411yescharacteristic
726C22×C47C2×2−1+411yescharacteristic
727C2×D47—22no—
728C2×D47—22no—
729C2×D47—22no—
730C2×D47—22no—
731C2×D47—22no—
732C2×D47—22no—
733C2×D47—22no—
734C2×D47—22no—
735C2×D47—22no—
736C2×D47—416no—
737C2×D47—41no—
738C2×D47—41no—
739C2×D47—41no—
740C2×D47—41no—
741C2×D47—41no—
742C2×D47—41no—
743C2×D47—41no—
744C2×D47—41no—
745C2×D47—41no—
746C2×D47—41no—
747C2×D47—41no—
748C2×D47#54214yes—
749C4×C47—22no—
750C4×C47—22no—
751C4×C47—41no—
752C4×C47—41no—
753C4×C47—41no—
754C4×C47—41no—
755C4×C47—41no—
756C4×C47—41no—
757C4×C47—41no—
758C4×C47—41no—
759C4×C47—41no—
760C4×C47—41no—
761C4×C47—41no—
762Dic47—22no—
763Dic47—22no—
764Dic47—41no—
765Dic47—41no—
766Dic47—41no—
767Dic47—41no—
768Dic47—41no—
769Dic47—41no—
770Dic47—41no—
771Dic47—41no—
772Dic47—41no—
773Dic47—41no—
774Dic47—41no—
775#2848—471no—
776#2847—471no—
777#2747—471no—
778#2747—471no—
779#2742—471no—
780#2742—471no—
781#2741—471no—
782#2741—471no—
783#2717—471no—
784#2717—471no—
785#2702—471no—
786#2702—471no—
787#2692—471no—
788#2692D4711yescharacteristic, complemented
789#2691—471no—
790#2691—471no—
791#2672—471no—
792#2672—471no—
793#2659—471no—
794#2639—471no—
795#2481—471no—
796#2481—471no—
797#2472—471no—
798#2472—471no—
799#2449—471no—
800#2449—471no—
801#2418—471no—
802#2418—471no—
803#2329—471no—
804#2325—471no—
805C2×#380—471no—
806C2×C47—42no—
807C2×C47—81no—
808C2×C47C2×#54211yescharacteristic
809C2×C47#349011yescharacteristic
810C2×C47#349211yescharacteristic
811C2×C47#353611yescharacteristic
812C2×C47#353611yescharacteristic
813C2×C47#353711yescharacteristic
814C2×C47#353811yescharacteristic
815D47—24no—
816D47—42no—
817D47—81no—
818C24×C4—471no—
819C2×#126—471no—
820C2×#126—471no—
821C2×#124—471no—
822C2×#124—471no—
823C2×#123—471no—
824C2×#123—471no—
825C2×C22⋊Q8—471no—
826C2×C22⋊Q8—471no—
827C2×C22⋊Q8—471no—
828C2×C22⋊Q8—471no—
829C2×C22⋊Q8—471no—
830C2×C22⋊Q8C2×D4711yescharacteristic
831C2×C22⋊Q8C2×D4711yescharacteristic, complemented
832C2×#121—471no—
833C2×#121—471no—
834C2×#121—471no—
835C2×#120—471no—
836C2×#120—471no—
837C2×C4×D4—471no—
838C2×C4×D4—471no—
839C22×C4⋊C4—471no—
840C22×C4⋊C4—471no—
841C22×C22⋊C4—471no—
842C22×C22⋊C4—471no—
843#400—471no—
844#400—471no—
845#400—471no—
846#400—471no—
847#400—471no—
848#400—471no—
849#399—471no—
850#399—471no—
851#399—471no—
852#399C2×D4711yescharacteristic
853#398—471no—
854#398—471no—
855#398—471no—
856#398—471no—
857#398—471no—
858#398C2×D4711yescharacteristic, complemented
859#397—471no—
860#397—471no—
861#397—471no—
862#397—471no—
863#397—471no—
864#397—471no—
865#397—471no—
866#397—471no—
867#396—471no—
868#396—471no—
869#396—471no—
870#396C2×D4711yescharacteristic, complemented
871#395—471no—
872#395—471no—
873#395—471no—
874#395—471no—
875#395—471no—
876#395C2×D4711yescharacteristic, complemented
877#394—471no—
878#394—471no—
879#394—471no—
880#394—471no—
881#394—471no—
882#394—471no—
883#394—471no—
884#394—471no—
885#394—471no—
886#394—471no—
887#393—471no—
888#393—471no—
889#393C2×D4711yescharacteristic
890#393C2×D4711yescharacteristic, complemented
891#391—471no—
892#391C2×D4711yescharacteristic, complemented
893#390—471no—
894#390C2×D4711yescharacteristic
895#389—471no—
896#389—471no—
897#389—471no—
898#389—471no—
899#388—471no—
900#388—471no—
901#388—471no—
902#388—471no—
903#388—471no—
904#388—471no—
905#388—471no—
906#388—471no—
907#388—471no—
908#388—471no—
909#388—471no—
910#388—471no—
911#387—471no—
912#387—471no—
913#387—471no—
914#387—471no—
915#387—471no—
916#387—471no—
917#387—471no—
918#387—471no—
919#387—471no—
920#387—471no—
921#387—471no—
922#387C2×D4711yescharacteristic, complemented
923#386—471no—
924#386—471no—
925#386—471no—
926#386—471no—
927#386—471no—
928#386—471no—
929#386—471no—
930#386—471no—
931#386—471no—
932#386—471no—
933#386—471no—
934#386—471no—
935#386—471no—
936#386—471no—
937#386C2×D4711yescharacteristic
938#386C2×D4711yescharacteristic
939#385—471no—
940#385—471no—
941#385—471no—
942#385—471no—
943#385—471no—
944#385—471no—
945#385—471no—
946#385—471no—
947#385—471no—
948#385—471no—
949#385—471no—
950#385C2×D4711yescharacteristic, complemented
951#380—471no—
952#380—471no—
953#380—471no—
954#380—471no—
955#380—471no—
956#380—471no—
957#380—471no—
958#380—471no—
959#380—471no—
960#380—471no—
961#380—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#380—471no—
966#380C2×D4711yescharacteristic
967#379—471no—
968#379—471no—
969C4×C22⋊C4—471no—
970C4×C22⋊C4—471no—
971C2×#95—471no—
972C2×#95—471no—
973C47#3672911yescharacteristic, complemented, Sylow
974C25—471no—
975C22×Q8—471no—
976C22×Q8C22×D4711yescharacteristic
977C22×Q8C22×D4711yescharacteristic
978C22×D4—471no—
979C22×D4—471no—
980C22×D4—471no—
981C22×D4—471no—
982C22×D4—471no—
983C22×D4—471no—
984C22×D4C22×D4711yescharacteristic
985C23×C4—471no—
986C23×C4—471no—
987C23×C4—471no—
988C23×C4—471no—
989C23×C4—471no—
990C23×C4—471no—
991C23×C4—471no—
992C23×C4—471no—
993C23×C4—471no—
994C23×C4—471no—
995C23×C4—944no—
996C23×C4—1882no—
997C23×C4—1882no—
998C23×C4C22×D4711yescharacteristic
999C23×C4C22×D4711yescharacteristic
1000#126—1882no—
1001#126—1882no—
1002#124—1882no—
1003#124—1882no—
1004#123—1882no—
1005#123—1882no—
1006C22⋊Q8—42no—
1007C22⋊Q8—42no—
1008C22⋊Q8—944no—
1009C22⋊Q8—1882no—
1010C22⋊Q8—1882no—
1011C22⋊Q8—1882no—
1012C22⋊Q8—1882no—
1013#121—944no—
1014#121—1882no—
1015#121—1882no—
1016#120—1882no—
1017#120—1882no—
1018C4×D4—1882no—
1019C4×D4—1882no—
1020C2×C4⋊C4—471no—
1021C2×C4⋊C4—471no—
1022C2×C4⋊C4—471no—
1023C2×C4⋊C4—471no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—471no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4—471no—
1030C2×C4⋊C4—471no—
1031C2×C4⋊C4—471no—
1032C2×C4⋊C4—471no—
1033C2×C4⋊C4—471no—
1034C2×C4⋊C4—471no—
1035C2×C4⋊C4—471no—
1036C2×C4⋊C4—471no—
1037C2×C4⋊C4—471no—
1038C2×C4⋊C4—471no—
1039C2×C4⋊C4—471no—
1040C2×C4⋊C4—471no—
1041C2×C4⋊C4—471no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—1882no—
1048C2×C4⋊C4—1882no—
1049C2×C4⋊C4C22×D4711yescharacteristic
1050C2×C4⋊C4C22×D4711yescharacteristic
1051C2×C4⋊C4C22×D4711yescharacteristic
1052C2×C4⋊C4C22×D4711yescharacteristic
1053C2×C4⋊C4C22×D4711yescharacteristic
1054C2×C4⋊C4C22×D4711yescharacteristic
1055C2×C4⋊C4C22×D4711yescharacteristic
1056C2×C4⋊C4C22×D4711yescharacteristic
1057C2×C4⋊C4C22×D4711yescharacteristic
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
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—1882no—
1095C2×C22⋊C4—1882no—
1096C2×C22⋊C4C22×D4711yescharacteristic
1097C2×C22⋊C4C22×D4711yescharacteristic
1098C2×C22⋊C4C22×D4711yescharacteristic
1099C2×C22⋊C4C22×D4711yescharacteristic
1100C2×C22⋊C4C22×D4711yescharacteristic
1101C2×C22⋊C4C22×D4711yescharacteristic
1102C2×C22⋊C4C22×D4711yescharacteristic
1103C2×C22⋊C4C22×D4711yescharacteristic
1104C2×C22⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4C22×D4711yescharacteristic
1106C2×C42—471no—
1107C2×C42—471no—
1108C2×C42—471no—
1109C2×C42—471no—
1110C2×C42—471no—
1111C2×C42C22×D4711yescharacteristic
1112#95—471no—
1113#95—471no—
1114#95—471no—
1115#95—471no—
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95C22×D4711yescharacteristic
1147#95C22×D4711yescharacteristic
1148#95C22×D4711yescharacteristic
1149#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156C24—471no—
1157C24—471no—
1158C24—471no—
1159C24—942no—
1160C24—942no—
1161C24—942no—
1162C24—942no—
1163C24—942no—
1164C24—1881no—
1165C24—1881no—
1166C24C23×D4711yescharacteristic
1167C24C23×D4711yescharacteristic
1168C2×Q8—22no—
1169C2×Q8—41no—
1170C2×Q8—41no—
1171C2×Q8—41no—
1172C2×Q8—41no—
1173C2×Q8—41no—
1174C2×Q8—1881no—
1175C2×Q8—1881no—
1176C2×Q8—1881no—
1177C2×D4—22no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—942no—
1181C2×D4—942no—
1182C2×D4—942no—
1183C2×D4—942no—
1184C2×D4—942no—
1185C2×D4—942no—
1186C2×D4—942no—
1187C2×D4—942no—
1188C2×D4—942no—
1189C2×D4—942no—
1190C2×D4—1881no—
1191C2×D4—1881no—
1192C2×D4—1881no—
1193C2×D4—1881no—
1194C2×D4—1881no—
1195C2×D4—1881no—
1196C2×D4—1881no—
1197C2×D4—1881no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—471no—
1205C22×C4—471no—
1206C22×C4—474no—
1207C22×C4—471no—
1208C22×C4—471no—
1209C22×C4—471no—
1210C22×C4—471no—
1211C22×C4—471no—
1212C22×C4—471no—
1213C22×C4—471no—
1214C22×C4—471no—
1215C22×C4—471no—
1216C22×C4—471no—
1217C22×C4—471no—
1218C22×C4—942no—
1219C22×C4—942no—
1220C22×C4—942no—
1221C22×C4—942no—
1222C22×C4—942no—
1223C22×C4—942no—
1224C22×C4—942no—
1225C22×C4—942no—
1226C22×C4—942no—
1227C22×C4—942no—
1228C22×C4—942no—
1229C22×C4—942no—
1230C22×C4—942no—
1231C22×C4—1881no—
1232C22×C4—1881no—
1233C22×C4—1881no—
1234C22×C4—1881no—
1235C22×C4—1881no—
1236C22×C4—1881no—
1237C22×C4—1881no—
1238C22×C4—1881no—
1239C22×C4—1881no—
1240C22×C4—1881no—
1241C22×C4—1881no—
1242C22×C4—1881no—
1243C22×C4—1881no—
1244C22×C4—1881no—
1245C22×C4—1881no—
1246C22×C4—18816no—
1247C22×C4—1881no—
1248C22×C4C23×D4711yescharacteristic
1249C22×C4C23×D4711yescharacteristic
1250C22×C4C23×D4711yescharacteristic
1251C22×C4C23×D4711yescharacteristic
1252C22×C4C23×D4711yescharacteristic
1253C22×C4C23×D4711yescharacteristic
1254C22×C4C23×D4711yescharacteristic
1255C22×C4C23×D4711yescharacteristic
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C22×C4C23×D4711yescharacteristic
1259C22×C4C23×D4711yescharacteristic
1260C22×C4C23×D4711yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—942no—
1271C4⋊C4—942no—
1272C4⋊C4—942no—
1273C4⋊C4—942no—
1274C4⋊C4—942no—
1275C4⋊C4—942no—
1276C4⋊C4—942no—
1277C4⋊C4—942no—
1278C4⋊C4—942no—
1279C4⋊C4—1881no—
1280C4⋊C4—1881no—
1281C4⋊C4—1881no—
1282C4⋊C4—1881no—
1283C4⋊C4—1881no—
1284C4⋊C4—1881no—
1285C4⋊C4—1881no—
1286C4⋊C4—1881no—
1287C4⋊C4—1881no—
1288C4⋊C4—1881no—
1289C4⋊C4—1881no—
1290C4⋊C4—1881no—
1291C4⋊C4—1881no—
1292C4⋊C4—1881no—
1293C4⋊C4—1881no—
1294C4⋊C4—1881no—
1295C4⋊C4—1881no—
1296C4⋊C4—1881no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—942no—
1308C22⋊C4—942no—
1309C22⋊C4—942no—
1310C22⋊C4—942no—
1311C22⋊C4—942no—
1312C22⋊C4—942no—
1313C22⋊C4—942no—
1314C22⋊C4—942no—
1315C22⋊C4—942no—
1316C22⋊C4—942no—
1317C22⋊C4—942no—
1318C22⋊C4—942no—
1319C22⋊C4—942no—
1320C22⋊C4—942no—
1321C22⋊C4—942no—
1322C22⋊C4—942no—
1323C22⋊C4—942no—
1324C22⋊C4—942no—
1325C22⋊C4—1881no—
1326C22⋊C4—1881no—
1327C22⋊C4—1881no—
1328C22⋊C4—1881no—
1329C22⋊C4—1881no—
1330C22⋊C4—1881no—
1331C22⋊C4—1881no—
1332C22⋊C4—1881no—
1333C22⋊C4—1881no—
1334C22⋊C4—1881no—
1335C22⋊C4—1881no—
1336C22⋊C4—1881no—
1337C22⋊C4—1881no—
1338C22⋊C4—1881no—
1339C22⋊C4—1881no—
1340C22⋊C4—1881no—
1341C22⋊C4—1881no—
1342C22⋊C4—1881no—
1343C42—41no—
1344C42—1881no—
1345C42—1881no—
1346C42—1881no—
1347C42—1881no—
1348C42—1881no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—472no—
1363C23—472no—
1364C23—472no—
1365C23—472no—
1366C23—948no—
1367C23—941no—
1368C23—941no—
1369C23—941no—
1370C23—941no—
1371C23—941no—
1372C23—941no—
1373C23—941no—
1374C23—941no—
1375C23—941no—
1376C23—941no—
1377C23—941no—
1378C23—941no—
1379C23—941no—
1380C23—941no—
1381C23—941no—
1382C23—941no—
1383C23—941no—
1384C23—1884no—
1385C23—1884no—
1386C23—1884no—
1387C23—1884no—
1388C23—1884no—
1389C23—1884no—
1390C23#1309407212yes—
1391C23C24×D4711yescharacteristic
1392Q8—82no—
1393Q8—82no—
1394Q8—3762no—
1395D4—82no—
1396D4—3762no—
1397D4—3762no—
1398D4—3762no—
1399D4—3762no—
1400D4—1884no—
1401D4—1884no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—44no—
1440C2×C4—82no—
1441C2×C4—472no—
1442C2×C4—472no—
1443C2×C4—948no—
1444C2×C4—941no—
1445C2×C4—941no—
1446C2×C4—941no—
1447C2×C4—941no—
1448C2×C4—941no—
1449C2×C4—941no—
1450C2×C4—941no—
1451C2×C4—941no—
1452C2×C4—941no—
1453C2×C4—941no—
1454C2×C4—941no—
1455C2×C4—941no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—941no—
1462C2×C4—941no—
1463C2×C4—941no—
1464C2×C4—941no—
1465C2×C4—941no—
1466C2×C4—941no—
1467C2×C4—941no—
1468C2×C4—941no—
1469C2×C4—941no—
1470C2×C4—941no—
1471C2×C4—941no—
1472C2×C4—941no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—3762no—
1482C2×C4—3762no—
1483C2×C4—3762no—
1484C2×C4—3762no—
1485C2×C4—3762no—
1486C2×C4—1884no—
1487C2×C4—1884no—
1488C2×C4—1884no—
1489C2×C4—1884no—
1490C2×C4#41×D4712yes—
1491C2×C4#1309406912yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—474no—
1507C22—942no—
1508C22—942no—
1509C22—942no—
1510C22—942no—
1511C22—942no—
1512C22—942no—
1513C22—942no—
1514C22—942no—
1515C22—942no—
1516C22—18816no—
1517C22—1881no—
1518C22—1881no—
1519C22—1881no—
1520C22—1881no—
1521C22—1881no—
1522C22—1881no—
1523C22—1881no—
1524C22—1881no—
1525C22—1881no—
1526C22—1881no—
1527C22—1881no—
1528C22C2×#41×D4711yescharacteristic
1529C22H(5,𝔽2)×D4711yescharacteristic
1530C22H(5,𝔽2)×D4711yescharacteristic
1531C22H(5,𝔽2)×D4711yescharacteristic
1532C22C2×#1309406911yescharacteristic
1533C222−1+4×D4711yescharacteristic
1534C22C2×#1309407211yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—942no—
1549C4—942no—
1550C4—1881no—
1551C4—1881no—
1552C4—1881no—
1553C4—1881no—
1554C4—1881no—
1555C4—1881no—
1556C4—1881no—
1557C4—1881no—
1558C4—1881no—
1559C4—1881no—
1560C4—1881no—
1561C2—42no—
1562C2—81no—
1563C2—944no—
1564C2—3761no—
1565C2—1882no—
1566C2#542×D4711yescharacteristic
1567C2#2025707011yescharacteristic
1568C2#2025709611yescharacteristic
1569C2#2025760711yescharacteristic
1570C2#2025761411yescharacteristic
1571C2#2025762111yescharacteristic
1572C2#2025762911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2692C2
prime radical#20251669C2
hypercenter#2692D47
hypocenterC47#36729
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2692

Complements

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

NH ≅ G/Ntype
1. #20251672C2semidirect
3. #20250589C2semidirect
4. #20250585C2semidirect
5. #20250518C2semidirect
6. #20250511C2semidirect
7. #20250507C2semidirect
8. #20250499C2semidirect
9. #20250230C2semidirect
10. #20250227C2semidirect
11. #20250023C2semidirect
12. #20250019C2semidirect
13. #20249880C2semidirect
14. #20249870C2semidirect
15. #20249866C2semidirect
16. #20249646C2semidirect
17. #20249635C2semidirect
18. #20249501C2semidirect
19. #20249317C2semidirect
20. #20247653C2semidirect
21. #20247650C2semidirect
22. #20247520C2semidirect
23. #20247517C2semidirect
24. #20247194C2semidirect
25. #20247192C2semidirect
26. #20246853C2semidirect
27. #20246849C2semidirect
28. #20246120C2semidirect
29. #20246085C2semidirect
30. #380×D47C2semidirect
31. C47×#2692C2semidirect
33. C2×#13094018C22semidirect
34. C2×#13094017C22semidirect
39. C2×#13094004C22semidirect
55. #15689065C22semidirect
56. #15689064C22semidirect
57. #15689064C22semidirect
58. #15689064C22semidirect
59. #15689064C22semidirect
60. #15689062C22semidirect
62. #15689059C22semidirect
63. #15689058C22semidirect
64. #15689057C22semidirect
65. #15689057C22semidirect
66. #15689055C22semidirect
67. #15689053C22semidirect
68. #15689053C22semidirect
71. #15689052C22semidirect
72. #15689051C22semidirect
73. #15689050C22semidirect
76. #15689048C22semidirect
77. #15689047C22semidirect
78. #15689046C22semidirect
79. #15689045C22semidirect
80. #15689043C22semidirect
81. #15689043C22semidirect
82. #15689043C22semidirect
83. #15689042C22semidirect
84. #15689042C22semidirect
91. #15689038C22semidirect
92. #15689038C22semidirect
96. #15689034C22semidirect
97. #15689030C22semidirect
99. #15689020C22semidirect
100. #15689020C22semidirect
101. #15689018C22semidirect
102. #15689018C22semidirect
105. #15689016C22semidirect
106. #15689016C22semidirect
109. #15689015C22semidirect
111. #15689013C22semidirect
115. #15689009C22semidirect
116. #15689009C22semidirect
117. #15689008C22semidirect
118. #15689007C22semidirect
119. #15689006C22semidirect
120. #15689006C22semidirect
121. #15689005C22semidirect
122. #15689005C22semidirect
123. #15689005C22semidirect
124. #15689004C22semidirect
125. #15689004C22semidirect
127. #15689002C22semidirect
139. #15688999C22semidirect
141. #15688996C22semidirect
149. #15688994C22semidirect
150. #15688994C22semidirect
173. C2×C22⋊Q8×C47C22semidirect
175. C47×#398C22semidirect
176. C47×#396C22semidirect
177. C47×#395C22semidirect
179. C47×#393C22semidirect
180. C47×#391C22semidirect
182. C47×#387C22semidirect
185. C47×#385C22semidirect
788. #2692D47semidirect
831. C2×C22⋊Q8C2×D47semidirect
858. #398C2×D47semidirect
870. #396C2×D47semidirect
876. #395C2×D47semidirect
890. #393C2×D47semidirect
892. #391C2×D47semidirect
922. #387C2×D47semidirect
950. #385C2×D47semidirect
973. C47#36729semidirect

Maximal subgroups

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

subgroupindex
#202516722
#202516692
#202505892
#202505852
#202505182
#202505112
#202505072
#202504992
#202502302
#202502272
#202500232
#202500192
#202498802
#202498702
#202498662
#202496462
#202496352
#202495012
#202493172
#202476532
#202476502
#202475202
#202475172
#202471942
#202471922
#202468532
#202468492
#202461202
#202460852
#380×D472
C47×#26922
#3672947