Finite Group Databasebeta

← #26423459

Subgroups — #26423459

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#20251674C211yesmaximal, characteristic, complemented
2#20251671C211yesmaximal, characteristic
3#20250594C211yesmaximal, characteristic, complemented
4#20250590C211yesmaximal, characteristic, complemented
5#20250513C211yesmaximal, characteristic, complemented
6#20250504C211yesmaximal, characteristic, complemented
7#20250500C211yesmaximal, characteristic, complemented
8#20250230C211yesmaximal, characteristic, complemented
9#20250228C211yesmaximal, characteristic, complemented
10#20250018C211yesmaximal, characteristic, complemented
11#20250014C211yesmaximal, characteristic, complemented
12#20249889C211yesmaximal, characteristic, complemented
13#20249877C211yesmaximal, characteristic, complemented
14#20249873C211yesmaximal, characteristic, complemented
15#20249869C211yesmaximal, characteristic, complemented
16#20249638C211yesmaximal, characteristic, complemented
17#20249636C211yesmaximal, characteristic, complemented
18#20249501C211yesmaximal, characteristic, complemented
19#20249320C211yesmaximal, characteristic, complemented
20#20247647C211yesmaximal, characteristic, complemented
21#20247642C211yesmaximal, characteristic, complemented
22#20247518C211yesmaximal, characteristic, complemented
23#20247517C211yesmaximal, characteristic, complemented
24#20247204C211yesmaximal, characteristic, complemented
25#20247190C211yesmaximal, characteristic, complemented
26#20246857C211yesmaximal, characteristic, complemented
27#20246853C211yesmaximal, characteristic, complemented
28#20246122C211yesmaximal, characteristic, complemented
29#20246087C211yesmaximal, characteristic, complemented
30#380×D47C211yesmaximal, characteristic, complemented
31C47×#2742C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094019C2211yescharacteristic, complemented
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094013C2211yescharacteristic
36C2×#13094012C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13094002C2211yescharacteristic
40C2×#13094002C2211yescharacteristic
41C2×#13094002C2211yescharacteristic
42C2×#13094002C2211yescharacteristic, complemented
43C2×#13094001C2211yescharacteristic
44C2×#13094000C2211yescharacteristic
45C2×#13094000C2211yescharacteristic, complemented
46C2×#13093999C2211yescharacteristic
47C2×#13093999C2211yescharacteristic
48C2×#13093998C2211yescharacteristic
49C2×#13093994C2211yescharacteristic
50C2×#13093994C2211yescharacteristic
51C2×C4×D188C2211yescharacteristic
52C2×#13093986C2211yescharacteristic
53C2×C4⋊C4×D47C2211yescharacteristic
54C2×C4⋊C4×D47C2211yescharacteristic
55C2×C22⋊C4×D47C2211yescharacteristic
56C2×C22⋊C4×D47C2211yescharacteristic
57#15689064C2211yescharacteristic, complemented
58#15689063C2211yescharacteristic, complemented
59#15689063C2211yescharacteristic, complemented
60#15689061C2211yescharacteristic, complemented
61#15689059C2211yescharacteristic
62#15689058C2211yescharacteristic, complemented
63#15689058C2211yescharacteristic, complemented
64#15689057C2211yescharacteristic, complemented
65#15689057C2211yescharacteristic, complemented
66#15689057C2211yescharacteristic, complemented
67#15689056C2211yescharacteristic, complemented
68#15689055C2211yescharacteristic, complemented
69#15689053C2211yescharacteristic, complemented
70#15689052C2211yescharacteristic
71#15689052C2211yescharacteristic
72#15689052C2211yescharacteristic, complemented
73#15689052C2211yescharacteristic, complemented
74#15689050C2211yescharacteristic
75#15689050C2211yescharacteristic, complemented
76#15689049C2211yescharacteristic
77#15689049C2211yescharacteristic, complemented
78#15689047C2211yescharacteristic, complemented
79#15689045C2211yescharacteristic, complemented
80#15689045C2211yescharacteristic, complemented
81#15689045C2211yescharacteristic, complemented
82#15689044C2211yescharacteristic, complemented
83#15689043C2211yescharacteristic, complemented
84#15689043C2211yescharacteristic, complemented
85#15689042C2211yescharacteristic, complemented
86#15689041C2211yescharacteristic
87#15689041C2211yescharacteristic
88#15689041C2211yescharacteristic, complemented
89#15689040C2211yescharacteristic
90#15689040C2211yescharacteristic
91#15689040C2211yescharacteristic, complemented
92#15689039C2211yescharacteristic
93#15689039C2211yescharacteristic
94#15689038C2211yescharacteristic
95#15689038C2211yescharacteristic
96#15689036C2211yescharacteristic, complemented
97#15689036C2211yescharacteristic, complemented
98#15689035C2211yescharacteristic
99#15689028C2211yescharacteristic, complemented
100#15689027C2211yescharacteristic, complemented
101#15689023C2211yescharacteristic
102#15689023C2211yescharacteristic
103#15689020C2211yescharacteristic, complemented
104#15689018C2211yescharacteristic, complemented
105#15689017C2211yescharacteristic
106#15689015C2211yescharacteristic
107#15689015C2211yescharacteristic
108#15689014C2211yescharacteristic
109#15689014C2211yescharacteristic, complemented
110#15689014C2211yescharacteristic, complemented
111#15689012C2211yescharacteristic
112#15689012C2211yescharacteristic, complemented
113#15689012C2211yescharacteristic, complemented
114#15689011C2211yescharacteristic
115#15689010C2211yescharacteristic, complemented
116#15689010C2211yescharacteristic, complemented
117#15689009C2211yescharacteristic, complemented
118#15689009C2211yescharacteristic, complemented
119#15689008C2211yescharacteristic, complemented
120#15689008C2211yescharacteristic, complemented
121#15689007C2211yescharacteristic, complemented
122#15689007C2211yescharacteristic, complemented
123#15689005C2211yescharacteristic, complemented
124#15689004C2211yescharacteristic, complemented
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#15689000C2211yescharacteristic
138#15689000C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688997C2211yescharacteristic
142#15688997C2211yescharacteristic
143#15688997C2211yescharacteristic, complemented
144#15688997C2211yescharacteristic, complemented
145#15688996C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic
148#15688994C2211yescharacteristic
149#15688994C2211yescharacteristic
150#15688994C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic, complemented
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
172C47×#400C2211yescharacteristic, complemented
173C47×#400C2211yescharacteristic, complemented
174C47×#399C2211yescharacteristic
175C47×#395C2211yescharacteristic, complemented
176C47×#395C2211yescharacteristic, complemented
177C47×#393C2211yescharacteristic
178C47×#389C2211yescharacteristic, complemented
179C47×#389C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic
181C47×#388C2211yescharacteristic
182C47×#387C2211yescharacteristic, complemented
183C47×#387C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic
185C47×#380C2211yescharacteristic
186C47×#380C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C22×C4×D47—24no—
199C22×C4×D47—42no—
200C22×C4×D47—42no—
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094019—42no—
212#13094019—42no—
213#13094013—42no—
214#13094012—42no—
215#13094009—42no—
216#13094009—42no—
217#13094002—24no—
218#13094002—42no—
219#13094002—42no—
220#13094002—42no—
221#13094001—42no—
222#13094000—42no—
223#13094000—42no—
224#13093999—24no—
225#13093999—42no—
226#13093998—42no—
227#13093994—42no—
228#13093994—42no—
229C4×D188—42no—
230#13093986—42no—
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
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C4⋊C4×D47—42no—
257C4⋊C4×D47—42no—
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
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
298C22⋊C4×D47—42no—
299C22⋊C4×D47—42no—
300C2×C4×Dic47C2311yescharacteristic
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
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C22×Q8×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×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C42×C47C2311yescharacteristic
354C2×C42×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×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
381C2×Q8×C47—41no—
382C2×Q8×C47—41no—
383C2×Q8×C47—41no—
384C22×C4×C47—22no—
385C22×C4×C47—22no—
386C22×C4×C47—41no—
387C22×C4×C47C2411yescharacteristic
388C22×C4×C47C2411yescharacteristic
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
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
401C2×C22⋊D47—22no—
402C2×C22⋊D47—22no—
403C2×C22⋊D47—41no—
404C2×C22⋊D47—41no—
405C2×C22⋊D47—41no—
406C2×C22⋊D47—41no—
407C22×Dic47—22no—
408C22×Dic47—22no—
409C22×Dic47—41no—
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C2×D188—22no—
423C2×D188—22no—
424C2×D188—22no—
425C2×D188—22no—
426C2×D188—22no—
427C2×D188—22no—
428C2×D188—22no—
429C2×D188—22no—
430C2×D188—22no—
431C2×D188—41no—
432C2×D188—41no—
433C2×D188—41no—
434C2×D188—41no—
435C2×D188—41no—
436C2×D188—41no—
437C2×C4×D47—22no—
438C2×C4×D47—22no—
439C2×C4×D47—22no—
440C2×C4×D47—22no—
441C2×C4×D47—22no—
442C2×C4×D47—22no—
443C2×C4×D47—22no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—416no—
449C2×C4×D47—41no—
450C2×C4×D47—41no—
451C2×C4×D47—41no—
452C2×C4×D47—41no—
453C2×C4×D47—41no—
454C2×C4×D47—41no—
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#4114yes—
468C2×Dic94—22no—
469C2×Dic94—41no—
470C2×Dic94—41no—
471C2×Dic94—41no—
472C2×Dic94—41no—
473C2×Dic94—41no—
474C4⋊C4×C47—22no—
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—
483C4⋊C4×C47—41no—
484C4⋊C4×C47—41no—
485C22⋊C4×C47—22no—
486C22⋊C4×C47—41no—
487C22⋊C4×C47—41no—
488C22⋊C4×C47—41no—
489C22⋊C4×C47—41no—
490C22⋊C4×C47—41no—
491C42×C47—41no—
492C42×C47—41no—
493C22⋊Dic47—22no—
494C22⋊Dic47—41no—
495C22⋊Dic47—41no—
496C22⋊Dic47—41no—
497(C2×D47)⋊C4—22no—
498(C2×D47)⋊C4—22no—
499(C2×D47)⋊C4—22no—
500(C2×D47)⋊C4—22no—
501(C2×D47)⋊C4—22no—
502(C2×D47)⋊C4—22no—
503(C2×D47)⋊C4—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—41no—
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—
533C4⋊Dic47—22no—
534C4⋊Dic47—22no—
535C4⋊Dic47—41no—
536C4⋊Dic47—41no—
537C4⋊Dic47—41no—
538C4⋊Dic47—41no—
539C4⋊Dic47—41no—
540Dic47⋊C4—22no—
541Dic47⋊C4—22no—
542Dic47⋊C4—22no—
543Dic47⋊C4—22no—
544Dic47⋊C4—22no—
545Dic47⋊C4—22no—
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—
557Dic47⋊C4—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×C472−1+412yes—
569C23×C47C2511yescharacteristic
570C22×D47—21no—
571C22×D47—21no—
572C22×D47—21no—
573C22×D47—21no—
574C22×D47—28no—
575C22×D47—21no—
576C22×D47—21no—
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—21no—
580C22×D47—21no—
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—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—
606C2×C4×C47—21no—
607C2×C4×C47—21no—
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—21no—
646C2×C4×C47—44no—
647C2×C4×C47C2×#4112yes—
648C2×C4×C47H(5,𝔽2)12yes—
649C22⋊D47—82no—
650C22⋊D47—82no—
651C2×Dic47—21no—
652C2×Dic47—21no—
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—44no—
686C2×Dic47C2×#4112yes—
687C2×Dic47H(5,𝔽2)12yes—
688D188—44no—
689D188—44no—
690D188—82no—
691D188—82no—
692D188—82no—
693C4×D47—28no—
694C4×D47—44no—
695C4×D47—44no—
696C4×D47—44no—
697C4×D47—82no—
698C4×D47—82no—
699C4×D47—82no—
700C4×D47—82no—
701C4×D47—82no—
702C4×D47—82no—
703Dic94—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×C47C22×#4111yescharacteristic
714C22×C47C2×H(5,𝔽2)11yescharacteristic
715C22×C47C2×H(5,𝔽2)11yescharacteristic
716C22×C47C2×H(5,𝔽2)11yescharacteristic
717C22×C47C2×H(5,𝔽2)11yescharacteristic
718C22×C47C2×2−1+411yescharacteristic
719C22×C47C2×2−1+411yescharacteristic
720C2×D47—22no—
721C2×D47—22no—
722C2×D47—22no—
723C2×D47—22no—
724C2×D47—22no—
725C2×D47—22no—
726C2×D47—22no—
727C2×D47—22no—
728C2×D47—22no—
729C2×D47—416no—
730C2×D47—41no—
731C2×D47—41no—
732C2×D47—41no—
733C2×D47—41no—
734C2×D47—41no—
735C2×D47—41no—
736C2×D47—41no—
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—
762C4×C47—41no—
763Dic47—22no—
764Dic47—22no—
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#2742D4711yescharacteristic, complemented
781#2741—471no—
782#2741—471no—
783#2717—471no—
784#2717—471no—
785#2702—471no—
786#2702—471no—
787#2692—471no—
788#2692—471no—
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×C47C2×#54211yescharacteristic
808C2×C47#349011yescharacteristic
809C2×C47#349211yescharacteristic
810C2×C47#353611yescharacteristic
811C2×C47#353611yescharacteristic
812C2×C47#353711yescharacteristic
813C2×C47#353811yescharacteristic
814D47—24no—
815D47—42no—
816D47—81no—
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⋊Q8—471no—
831C2×C22⋊Q8—471no—
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#400C2×D4711yescharacteristic, complemented
848#400C2×D4711yescharacteristic, complemented
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#398—471no—
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#396—471no—
871#395—471no—
872#395—471no—
873#395—471no—
874#395—471no—
875#395C2×D4711yescharacteristic, complemented
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#393—471no—
890#393C2×D4711yescharacteristic
891#391—471no—
892#391—471no—
893#390—471no—
894#390—471no—
895#389—471no—
896#389—471no—
897#389C2×D4711yescharacteristic, complemented
898#389C2×D4711yescharacteristic, complemented
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#388C2×D4711yescharacteristic
910#388C2×D4711yescharacteristic
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#387C2×D4711yescharacteristic, complemented
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#386—471no—
938#386—471no—
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
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#380C2×D4711yescharacteristic
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×Q8—471no—
977C22×Q8C22×D4711yescharacteristic
978C22×D4—471no—
979C22×D4—471no—
980C22×D4—471no—
981C22×D4—471no—
982C22×D4—471no—
983C22×D4—471no—
984C22×D4—471no—
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—471no—
996C23×C4—944no—
997C23×C4—1882no—
998C23×C4—1882no—
999C23×C4C22×D4711yescharacteristic
1000#126—1882no—
1001#126—1882no—
1002#124—1882no—
1003#124—1882no—
1004#123—1882no—
1005#123—1882no—
1006C22⋊Q8—944no—
1007C22⋊Q8—1882no—
1008C22⋊Q8—1882no—
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—1882no—
1046C2×C4⋊C4—1882no—
1047C2×C4⋊C4C22×D4711yescharacteristic
1048C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—1882no—
1099C2×C22⋊C4—1882no—
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×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1143#95C22×D4711yescharacteristic
1144#95C22×D4711yescharacteristic
1145#95C22×D4711yescharacteristic
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—471no—
1160C24—942no—
1161C24—942no—
1162C24—942no—
1163C24—942no—
1164C24—942no—
1165C24—1881no—
1166C24—1881no—
1167C24C23×D4711yescharacteristic
1168C2×Q8—41no—
1169C2×Q8—41no—
1170C2×Q8—41no—
1171C2×Q8—942no—
1172C2×Q8—1881no—
1173C2×Q8—1881no—
1174C2×Q8—1881no—
1175C2×Q8—1881no—
1176C2×Q8—1881no—
1177C2×D4—942no—
1178C2×D4—942no—
1179C2×D4—942no—
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—1881no—
1189C2×D4—1881no—
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—471no—
1202C22×C4—471no—
1203C22×C4—474no—
1204C22×C4—471no—
1205C22×C4—471no—
1206C22×C4—471no—
1207C22×C4—471no—
1208C22×C4—471no—
1209C22×C4—471no—
1210C22×C4—471no—
1211C22×C4—471no—
1212C22×C4—471no—
1213C22×C4—471no—
1214C22×C4—942no—
1215C22×C4—942no—
1216C22×C4—942no—
1217C22×C4—942no—
1218C22×C4—942no—
1219C22×C4—942no—
1220C22×C4—942no—
1221C22×C4—942no—
1222C22×C4—942no—
1223C22×C4—942no—
1224C22×C4—942no—
1225C22×C4—942no—
1226C22×C4—942no—
1227C22×C4—1881no—
1228C22×C4—1881no—
1229C22×C4—1881no—
1230C22×C4—1881no—
1231C22×C4—1881no—
1232C22×C4—1881no—
1233C22×C4—1881no—
1234C22×C4—1881no—
1235C22×C4—1881no—
1236C22×C4—1881no—
1237C22×C4—1881no—
1238C22×C4—1881no—
1239C22×C4—1881no—
1240C22×C4—1881no—
1241C22×C4—1881no—
1242C22×C4—1881no—
1243C22×C4—1881no—
1244C22×C4—1881no—
1245C22×C4—18816no—
1246C22×C4—1881no—
1247C22×C4C23×D4711yescharacteristic
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—22no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—942no—
1273C4⋊C4—942no—
1274C4⋊C4—942no—
1275C4⋊C4—942no—
1276C4⋊C4—942no—
1277C4⋊C4—942no—
1278C4⋊C4—942no—
1279C4⋊C4—942no—
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—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—942no—
1304C22⋊C4—942no—
1305C22⋊C4—942no—
1306C22⋊C4—942no—
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—1881no—
1323C22⋊C4—1881no—
1324C22⋊C4—1881no—
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—41no—
1345C42—1881no—
1346C42—1881no—
1347C42—1881no—
1348C42—1881no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—472no—
1356C23—472no—
1357C23—472no—
1358C23—472no—
1359C23—948no—
1360C23—941no—
1361C23—941no—
1362C23—941no—
1363C23—941no—
1364C23—941no—
1365C23—941no—
1366C23—941no—
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—3762no—
1394Q8—3762no—
1395D4—3762no—
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—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—44no—
1443C2×C4—472no—
1444C2×C4—472no—
1445C2×C4—948no—
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—3762no—
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#1309407012yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—474no—
1500C22—942no—
1501C22—942no—
1502C22—942no—
1503C22—942no—
1504C22—942no—
1505C22—942no—
1506C22—942no—
1507C22—942no—
1508C22—942no—
1509C22—18816no—
1510C22—1881no—
1511C22—1881no—
1512C22—1881no—
1513C22—1881no—
1514C22—1881no—
1515C22—1881no—
1516C22—1881no—
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×#1309407011yescharacteristic
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—41no—
1549C4—942no—
1550C4—942no—
1551C4—1881no—
1552C4—1881no—
1553C4—1881no—
1554C4—1881no—
1555C4—1881no—
1556C4—1881no—
1557C4—1881no—
1558C4—1881no—
1559C4—1881no—
1560C4—1881no—
1561C2—42no—
1562C2—944no—
1563C2—3761no—
1564C2—3761no—
1565C2—1882no—
1566C2#542×D4711yescharacteristic
1567C2#2025707211yescharacteristic
1568C2#2025709611yescharacteristic
1569C2#2025761311yescharacteristic
1570C2#2025761611yescharacteristic
1571C2#2025762211yescharacteristic
1572C2#2025763011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2742C2
prime radical#20251671C2
hypercenter#2742D47
hypocenterC47#36729
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2742

Complements

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

NH ≅ G/Ntype
1. #20251674C2semidirect
3. #20250594C2semidirect
4. #20250590C2semidirect
5. #20250513C2semidirect
6. #20250504C2semidirect
7. #20250500C2semidirect
8. #20250230C2semidirect
9. #20250228C2semidirect
10. #20250018C2semidirect
11. #20250014C2semidirect
12. #20249889C2semidirect
13. #20249877C2semidirect
14. #20249873C2semidirect
15. #20249869C2semidirect
16. #20249638C2semidirect
17. #20249636C2semidirect
18. #20249501C2semidirect
19. #20249320C2semidirect
20. #20247647C2semidirect
21. #20247642C2semidirect
22. #20247518C2semidirect
23. #20247517C2semidirect
24. #20247204C2semidirect
25. #20247190C2semidirect
26. #20246857C2semidirect
27. #20246853C2semidirect
28. #20246122C2semidirect
29. #20246087C2semidirect
30. #380×D47C2semidirect
31. C47×#2742C2semidirect
33. C2×#13094019C22semidirect
34. C2×#13094019C22semidirect
42. C2×#13094002C22semidirect
45. C2×#13094000C22semidirect
57. #15689064C22semidirect
58. #15689063C22semidirect
59. #15689063C22semidirect
60. #15689061C22semidirect
62. #15689058C22semidirect
63. #15689058C22semidirect
64. #15689057C22semidirect
65. #15689057C22semidirect
66. #15689057C22semidirect
67. #15689056C22semidirect
68. #15689055C22semidirect
69. #15689053C22semidirect
72. #15689052C22semidirect
73. #15689052C22semidirect
75. #15689050C22semidirect
77. #15689049C22semidirect
78. #15689047C22semidirect
79. #15689045C22semidirect
80. #15689045C22semidirect
81. #15689045C22semidirect
82. #15689044C22semidirect
83. #15689043C22semidirect
84. #15689043C22semidirect
85. #15689042C22semidirect
88. #15689041C22semidirect
91. #15689040C22semidirect
96. #15689036C22semidirect
97. #15689036C22semidirect
99. #15689028C22semidirect
100. #15689027C22semidirect
103. #15689020C22semidirect
104. #15689018C22semidirect
109. #15689014C22semidirect
110. #15689014C22semidirect
112. #15689012C22semidirect
113. #15689012C22semidirect
115. #15689010C22semidirect
116. #15689010C22semidirect
117. #15689009C22semidirect
118. #15689009C22semidirect
119. #15689008C22semidirect
120. #15689008C22semidirect
121. #15689007C22semidirect
122. #15689007C22semidirect
123. #15689005C22semidirect
124. #15689004C22semidirect
135. #15689001C22semidirect
136. #15689001C22semidirect
143. #15688997C22semidirect
144. #15688997C22semidirect
150. #15688994C22semidirect
151. #15688994C22semidirect
172. C47×#400C22semidirect
173. C47×#400C22semidirect
175. C47×#395C22semidirect
176. C47×#395C22semidirect
178. C47×#389C22semidirect
179. C47×#389C22semidirect
182. C47×#387C22semidirect
183. C47×#387C22semidirect
780. #2742D47semidirect
847. #400C2×D47semidirect
848. #400C2×D47semidirect
875. #395C2×D47semidirect
876. #395C2×D47semidirect
897. #389C2×D47semidirect
898. #389C2×D47semidirect
921. #387C2×D47semidirect
922. #387C2×D47semidirect
973. C47#36729semidirect

Maximal subgroups

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

subgroupindex
#202516742
#202516712
#202505942
#202505902
#202505132
#202505042
#202505002
#202502302
#202502282
#202500182
#202500142
#202498892
#202498772
#202498732
#202498692
#202496382
#202496362
#202495012
#202493202
#202476472
#202476422
#202475182
#202475172
#202472042
#202471902
#202468572
#202468532
#202461222
#202460872
#380×D472
C47×#27422
#3672947