Finite Group Databasebeta

← #26384962

Subgroups — #26384962

Order 12032.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689636C211yesmaximal, characteristic, complemented
2C2×C4×#10625352C211yesmaximal, characteristic, complemented
3#20247592C211yesmaximal, characteristic, complemented
4#20247577C211yesmaximal, characteristic, complemented
5#20247502C211yesmaximal, characteristic, complemented
6#20247487C211yesmaximal, characteristic, complemented
7#20247416C211yesmaximal, characteristic, complemented
8#20247401C211yesmaximal, characteristic, complemented
9#20247317C211yesmaximal, characteristic, complemented
10#20247302C211yesmaximal, characteristic, complemented
11#20247138C211yesmaximal, characteristic, complemented
12#20247060C211yesmaximal, characteristic, complemented
13#20246996C211yesmaximal, characteristic, complemented
14#20246918C211yesmaximal, characteristic, complemented
15#20246852C211yesmaximal, characteristic, complemented
16#20246771C211yesmaximal, characteristic, complemented
17#20246706C211yesmaximal, characteristic, complemented
18#20246677C211yesmaximal, characteristic, complemented
19#20246665C211yesmaximal, characteristic, complemented
20#20246633C211yesmaximal, characteristic, complemented
21#20246605C211yesmaximal, characteristic, complemented
22#20245909C211yesmaximal, characteristic, complemented
23#20245907C211yesmaximal, characteristic, complemented
24#20245898C211yesmaximal, characteristic, complemented
25#20245894C211yesmaximal, characteristic, complemented
26#20245893C211yesmaximal, characteristic, complemented
27#20245877C211yesmaximal, characteristic, complemented
28#20245824C211yesmaximal, characteristic, complemented
29#20245824C211yesmaximal, characteristic, complemented
30C2×#15688970C211yesmaximal, characteristic, complemented
31C47×#2450C211yesmaximal, characteristic, complemented
32C22×#10625354C2211yescharacteristic
33C22×#10625352C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689636—28no—
36C2×#13094009C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13094008C2211yescharacteristic
40C2×#13094000C2211yescharacteristic
41C2×#13093999C2211yescharacteristic
42C2×#13093998C2211yescharacteristic
43C2×#13093998C2211yescharacteristic
44C2×#13093996C2211yescharacteristic
45C2×#13093994C2211yescharacteristic
46C2×#13093994C2211yescharacteristic
47C2×#13093992C2211yescharacteristic
48C4×#10625352—28no—
49C2×C4×Dic94C2211yescharacteristic, complemented
50C2×#13093989C2211yescharacteristic, complemented
51C2×D4×Dic47C2211yescharacteristic
52C2×#13093986C2211yescharacteristic
53C2×#13093986C2211yescharacteristic
54C2×C4×C22⋊D47C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic, complemented
56C2×(C22⋊D47)⋊C4C2211yescharacteristic
57C2×(C22⋊D47)⋊C4C2211yescharacteristic
58C2×(C22⋊D47)⋊C4C2211yescharacteristic
59C2×(C22⋊D47)⋊C4C2211yescharacteristic
60C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
61C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
62C2×#13093982C2211yescharacteristic
63C2×#13093982C2211yescharacteristic, complemented
64C2×#13093982C2211yescharacteristic, complemented
65C2×#13093980C2211yescharacteristic
66C2×#13093980C2211yescharacteristic, complemented
67C22×(C2×D47)⋊C4C2211yescharacteristic
68C22×(C2×D47)⋊C4C2211yescharacteristic
69C22×C4×Dic47C2211yescharacteristic
70C22×C4×Dic47C2211yescharacteristic
71C22×C4×Dic47C2211yescharacteristic, complemented
72C2×C42×D47C2211yescharacteristic, complemented
73#15689065C2211yescharacteristic, complemented
74#15689061C2211yescharacteristic, complemented
75#15689058C2211yescharacteristic
76#15689056C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689052C2211yescharacteristic
79#15689052C2211yescharacteristic, complemented
80#15689052C2211yescharacteristic, complemented
81#15689045C2211yescharacteristic
82#15689045C2211yescharacteristic
83#15689045C2211yescharacteristic
84#15689044C2211yescharacteristic, complemented
85#15689042C2211yescharacteristic, complemented
86#15689041C2211yescharacteristic
87#15689041C2211yescharacteristic
88#15689041C2211yescharacteristic
89#15689041C2211yescharacteristic, complemented
90#15689040C2211yescharacteristic
91#15689040C2211yescharacteristic
92#15689039C2211yescharacteristic
93#15689039C2211yescharacteristic, complemented
94#15689036C2211yescharacteristic
95#15689036C2211yescharacteristic
96#15689036C2211yescharacteristic, complemented
97#15689032C2211yescharacteristic
98#15689032C2211yescharacteristic
99#15689032C2211yescharacteristic
100#15689032C2211yescharacteristic, complemented
101#15689030C2211yescharacteristic, complemented
102#15689025C2211yescharacteristic
103#15689024C2211yescharacteristic
104#15689024C2211yescharacteristic
105#15689023C2211yescharacteristic, complemented
106#15689020C2211yescharacteristic, complemented
107#15689019C2211yescharacteristic, complemented
108#15689015C2211yescharacteristic
109#15689015C2211yescharacteristic
110#15689015C2211yescharacteristic, complemented
111#15689015C2211yescharacteristic, complemented
112#15689014C2211yescharacteristic
113#15689013C2211yescharacteristic
114#15689013C2211yescharacteristic, complemented
115#15689013C2211yescharacteristic, complemented
116#15689013C2211yescharacteristic, complemented
117#15689012C2211yescharacteristic
118#15689012C2211yescharacteristic, complemented
119#15689011C2211yescharacteristic, complemented
120#15689010C2211yescharacteristic, complemented
121#15689010C2211yescharacteristic, complemented
122#15689006C2211yescharacteristic, complemented
123#15689006C2211yescharacteristic, complemented
124#15689004C2211yescharacteristic, complemented
125#15689004C2211yescharacteristic, complemented
126#15689004C2211yescharacteristic, complemented
127#15689002C2211yescharacteristic
128#15689002C2211yescharacteristic
129#15689002C2211yescharacteristic
130#15689002C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic, complemented
135#15689001C2211yescharacteristic, complemented
136#15689000C2211yescharacteristic
137#15689000C2211yescharacteristic
138#15689000C2211yescharacteristic
139#15689000C2211yescharacteristic, complemented
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688998C2211yescharacteristic
143#15688998C2211yescharacteristic, complemented
144#15688997C2211yescharacteristic
145#15688997C2211yescharacteristic
146#15688997C2211yescharacteristic, complemented
147#15688996C2211yescharacteristic
148#15688985C2211yescharacteristic, complemented
149#15688984C2211yescharacteristic
150#15688981C2211yescharacteristic
151#15688978C2211yescharacteristic
152C4⋊C4×Dic47C2211yescharacteristic, complemented
153C4⋊C4×Dic47C2211yescharacteristic, complemented
154C4⋊C4×Dic47C2211yescharacteristic, complemented
155#15688974C2211yescharacteristic, complemented
156C22⋊C4×Dic47C2211yescharacteristic
157C22⋊C4×Dic47C2211yescharacteristic, complemented
158#15688970C2211yescharacteristic
159#15688970C2211yescharacteristic
160#15688970C2211yescharacteristic
161#15688970C2211yescharacteristic
162#15688970C2211yescharacteristic
163#15688970C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171#15688970C2211yescharacteristic, complemented
172#15688968C2211yescharacteristic, complemented
173C2×C47⋊#95C2211yescharacteristic
174C2×C22⋊Q8×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C47×#400C2211yescharacteristic, complemented
177C47×#398C2211yescharacteristic, complemented
178C47×#396C2211yescharacteristic, complemented
179C47×#393C2211yescharacteristic, complemented
180C47×#391C2211yescharacteristic, complemented
181C47×#387C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C47×#385C2211yescharacteristic, complemented
187C47×#380C2211yescharacteristic, complemented
188C2×#95×C47C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C2×#10625354—24no—
191C2×#10625354—24no—
192C2×#10625354—42no—
193C2×#10625352—24no—
194C2×#10625352—24no—
195C2×#10625352—24no—
196C22×Dic94C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×D188C2311yescharacteristic
201C22×D188C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C23×Dic47C2311yescharacteristic
213C22×C4×D47—24no—
214C22×C4×D47—24no—
215C22×C4×D47—42no—
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224#13094009—24no—
225#13094009—24no—
226#13094009—24no—
227#13094008—24no—
228#13094000—24no—
229#13093999—24no—
230#13093998—24no—
231#13093998—24no—
232#13093996—24no—
233#13093994—24no—
234#13093994—24no—
235#13093992—24no—
236C4×Dic94—24no—
237#13093989—24no—
238D4×Dic47—24no—
239#13093986—24no—
240#13093986—24no—
241C4×C22⋊D47—24no—
242C4×C22⋊D47—24no—
243(C22⋊D47)⋊C4—24no—
244(C22⋊D47)⋊C4—24no—
245(C22⋊D47)⋊C4—24no—
246(C22⋊D47)⋊C4—42no—
247(C22⋊D47)⋊C4—42no—
248(C22⋊D47)⋊C4D418yescomplemented
249#13093982—24no—
250#13093982—24no—
251#13093982—42no—
252#13093980—24no—
253#13093980—24no—
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×C4⋊Dic47C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×(C2×D47)⋊C4—24no—
275C2×(C2×D47)⋊C4—24no—
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×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×C4×Dic47—24no—
311C2×C4×Dic47—24no—
312C2×C4×Dic47—42no—
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C2×C4×Dic47C2311yescharacteristic
328C2×C4×Dic47C2311yescharacteristic
329C42×D47—24no—
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C22×Q8×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360C22⋊Q8×C47—24no—
361C4×D4×C47—24no—
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C42×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×Q8×C47—22no—
405C2×Q8×C47—22no—
406C2×Q8×C47—41no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47#4114yescomplemented
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—22no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—41no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47C2×D414yes—
453C22×Dic47—22no—
454C22×Dic47—22no—
455C22×Dic47—22no—
456C22×Dic47—22no—
457C22×Dic47—22no—
458C22×Dic47—22no—
459C22×Dic47—22no—
460C22×Dic47—22no—
461C22×Dic47—22no—
462C22×Dic47—22no—
463C22×Dic47—22no—
464C22×Dic47—22no—
465C22×Dic47—41no—
466C22×Dic47C2×D414yes—
467C22×Dic47#4114yescomplemented
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480#10625354—416no—
481#10625352—232no—
482C2×D188—22no—
483C2×D188—22no—
484C2×D188—22no—
485C2×D188—22no—
486C2×D188—22no—
487C2×D188—22no—
488C2×D188—22no—
489C2×D188—22no—
490C2×D188—22no—
491C2×D188—22no—
492C2×D188—41no—
493C2×D188—41no—
494C2×D188—41no—
495C2×D188—41no—
496C2×D188—41no—
497C2×C4×D47—22no—
498C2×C4×D47—22no—
499C2×C4×D47—22no—
500C2×C4×D47—22no—
501C2×C4×D47—22no—
502C2×C4×D47—22no—
503C2×C4×D47—22no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—22no—
507C2×C4×D47—22no—
508C2×C4×D47—22no—
509C2×C4×D47—22no—
510C2×C4×D47—22no—
511C2×C4×D47—22no—
512C2×C4×D47—22no—
513C2×C4×D47—22no—
514C2×C4×D47—22no—
515C2×C4×D47—22no—
516C2×C4×D47—416no—
517C2×C4×D47—41no—
518C2×C4×D47—41no—
519C2×C4×D47—41no—
520C2×C4×D47C2×D414yes—
521C2×C4×D47#4114yescomplemented
522C2×Dic94—22no—
523C2×Dic94—22no—
524C2×Dic94—22no—
525C4⋊C4×C47—22no—
526C4⋊C4×C47—22no—
527C4⋊C4×C47—22no—
528C4⋊C4×C47—22no—
529C4⋊C4×C47—22no—
530C4⋊C4×C47—41no—
531C4⋊C4×C47—41no—
532C4⋊C4×C47—41no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—22no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—22no—
537C22⋊C4×C47—41no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47C2×D414yes—
541C42×C47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—22no—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—22no—
552(C2×D47)⋊C4—22no—
553(C2×D47)⋊C4—22no—
554(C2×D47)⋊C4—22no—
555(C2×D47)⋊C4—22no—
556(C2×D47)⋊C4—22no—
557(C2×D47)⋊C4—22no—
558(C2×D47)⋊C4—22no—
559(C2×D47)⋊C4—22no—
560(C2×D47)⋊C4—22no—
561(C2×D47)⋊C4—22no—
562(C2×D47)⋊C4—22no—
563(C2×D47)⋊C4—22no—
564(C2×D47)⋊C4—22no—
565(C2×D47)⋊C4—22no—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—41no—
571(C2×D47)⋊C4—41no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4C2×D414yes—
579(C2×D47)⋊C4#4114yescomplemented
580C4⋊Dic47—22no—
581C4⋊Dic47—22no—
582C4⋊Dic47—22no—
583C4⋊Dic47—22no—
584C4⋊Dic47—22no—
585C4⋊Dic47—41no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—22no—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—41no—
594Dic47⋊C4—41no—
595Dic47⋊C4C2×D414yes—
596C4×Dic47—22no—
597C4×Dic47—22no—
598C4×Dic47—22no—
599C4×Dic47—22no—
600C4×Dic47—22no—
601C4×Dic47—22no—
602C4×Dic47—22no—
603C4×Dic47—22no—
604C4×Dic47—22no—
605C4×Dic47—22no—
606C4×Dic47—22no—
607C4×Dic47—22no—
608C4×Dic47—22no—
609C4×Dic47—41no—
610C4×Dic47—41no—
611C4×Dic47C2×D414yes—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47C22×D412yes—
623C23×C47C2×#4112yes—
624C23×C47C2×#4112yes—
625C23×C47C2×#4112yes—
626C23×C47C2511yescharacteristic
627C22×D47—28no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—44no—
654C22×D47—44no—
655C22×D47—44no—
656C22×D47—44no—
657C22×D47—44no—
658C22×D47—44no—
659C22×D47C22×D412yes—
660C22×D47C2×#4112yes—
661C22×D47C2×#4112yes—
662Q8×C47—44no—
663D4×C47—28no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—44no—
699C2×C4×C47—44no—
700C2×C4×C47—44no—
701C2×C4×C47—44no—
702C2×C4×C47C22×D412yes—
703C2×C4×C47C22×D412yes—
704C2×C4×C47C2×#4112yes—
705C2×C4×C47C2×#4112yes—
706C2×C4×C47C2×#4112yes—
707C22⋊D47—28no—
708C22⋊D47—28no—
709C22⋊D47—44no—
710C22⋊D47—44no—
711C22⋊D47—44no—
712C22⋊D47—44no—
713C2×Dic47—28no—
714C2×Dic47—28no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—28no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—44no—
745C2×Dic47—44no—
746C2×Dic47C22×D412yes—
747C2×Dic47C22×D412yes—
748C2×Dic47C22×D412yes—
749C2×Dic47C2×#4112yes—
750C2×Dic47C2×#4112yes—
751C2×Dic47C2×#4112yes—
752C2×Dic47C2×#4112yes—
753C2×Dic47H(5,𝔽2)12yes—
754D188—44no—
755D188—44no—
756D188—44no—
757D188—44no—
758D188—44no—
759C4×D47—28no—
760C4×D47—28no—
761C4×D47—28no—
762C4×D47—44no—
763C4×D47—44no—
764C4×D47—44no—
765C4×D47—44no—
766C4×D47—44no—
767Dic94—28no—
768#34732—471nomaximal, Sylow
769C22×C47—22no—
770C22×C47—22no—
771C22×C47—22no—
772C22×C47—22no—
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—22no—
776C22×C47—22no—
777C22×C47—22no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47—41no—
782C22×C47#52514yes—
783C22×C47C23×D411yescharacteristic
784C22×C47C22×#4111yescharacteristic
785C22×C47C22×#4111yescharacteristic
786C22×C47C22×#4111yescharacteristic
787C22×C47C22×#4111yescharacteristic
788C22×C47C2×H(5,𝔽2)11yescharacteristic
789C22×C47#58511yescharacteristic
790C2×D47—22no—
791C2×D47—22no—
792C2×D47—22no—
793C2×D47—22no—
794C2×D47—22no—
795C2×D47—22no—
796C2×D47—22no—
797C2×D47—22no—
798C2×D47—22no—
799C2×D47—416no—
800C2×D47—41no—
801C2×D47—41no—
802C2×D47—41no—
803C2×D47—41no—
804C2×D47—41no—
805C2×D47—41no—
806C2×D47—41no—
807C2×D47—41no—
808C2×D47—41no—
809C2×D47—41no—
810C2×D47—41no—
811C2×D47—41no—
812C2×D47—41no—
813C2×D47—41no—
814C2×D47—41no—
815C2×D47—41no—
816C2×D47—41no—
817C2×D47—41no—
818C2×D47—41no—
819C4×C47—22no—
820C4×C47—22no—
821C4×C47—22no—
822C4×C47—22no—
823C4×C47—22no—
824C4×C47—41no—
825C4×C47—41no—
826C4×C47—41no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47—41no—
832Dic47—22no—
833Dic47—22no—
834Dic47—22no—
835Dic47—22no—
836Dic47—22no—
837Dic47—41no—
838Dic47—41no—
839Dic47—41no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47#54614yes—
844C2×#525—471no—
845C2×C4×#41—471no—
846#2477—471no—
847#2476—471no—
848#2471—471no—
849#2470—471no—
850#2465—471no—
851#2464—471no—
852#2458—471no—
853#2457—471no—
854#2450D4711yescharacteristic, complemented
855#2444—471no—
856#2438—471no—
857#2430—471no—
858#2424—471no—
859#2418—471no—
860#2411—471no—
861#2404—471no—
862#2398—471no—
863#2396—471no—
864#2392—471no—
865#2388—471no—
866C4×#123—471no—
867C4×#123—471no—
868C4×#121—471no—
869C4×#121—471no—
870C4×#120—471no—
871#2297—471no—
872#2290—471no—
873#2290—471no—
874C2×C4×C22⋊C4—471no—
875C2×C47—24no—
876C2×C47—42no—
877C2×C47C2×#52511yescharacteristic
878C2×C47#344411yescharacteristic
879C2×C47#346011yescharacteristic
880C2×C47C2×#54611yescharacteristic
881C2×C47D4×#4111yescharacteristic
882C2×C47#347511yescharacteristic
883C2×C47#348111yescharacteristic
884D47—42no—
885D47—42no—
886D47—42no—
887D47—81no—
888C22×#41—471no—
889C22×#41—471no—
890C24×C4—471no—
891#525—948no—
892C2×#123—471no—
893C2×#123—471no—
894C2×#123—471no—
895C2×#123—471no—
896C2×C22⋊Q8—471no—
897C2×C22⋊Q8C2×D4711yescharacteristic
898C2×#121—471no—
899C2×#121—471no—
900C2×#121—471no—
901C2×#121—471no—
902C2×#120—471no—
903C2×#120—471no—
904C2×#120—471no—
905C4×#41—948no—
906C2×C4×Q8—471no—
907C2×C4×Q8—471no—
908C2×C4×D4—471no—
909C2×C4×D4—471no—
910C2×C4×D4—471no—
911C2×C4×D4—471no—
912C2×C4×D4—471no—
913C2×C4×D4—471no—
914C2×C4×D4—471no—
915C2×C4×D4—471no—
916C2×C4×D4—471no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
919C2×C4×D4C2×D4711yescharacteristic
920C2×#117—471no—
921C2×#117—471no—
922C2×#117—471no—
923C2×#117—471no—
924C2×#117—471no—
925C22×C22⋊C4—471no—
926C22×C22⋊C4—471no—
927C22×C42—471no—
928C22×C42—471no—
929C22×C42—471no—
930C22×C42—471no—
931#400—471no—
932#400—471no—
933#400C2×D4711yescharacteristic, complemented
934#399—471no—
935#398—471no—
936#398—471no—
937#398C2×D4711yescharacteristic, complemented
938#397—471no—
939#397—471no—
940#397—471no—
941#396—471no—
942#396—471no—
943#396—471no—
944#396C2×D4711yescharacteristic, complemented
945#395—471no—
946#395—471no—
947#394—471no—
948#394—471no—
949#394—471no—
950#394—471no—
951#394—471no—
952#394—471no—
953#394—471no—
954#394—471no—
955#393—471no—
956#393—471no—
957#393—471no—
958#393C2×D4711yescharacteristic, complemented
959#392—471no—
960#392—471no—
961#392—471no—
962#392—471no—
963#391—471no—
964#391C2×D4711yescharacteristic, complemented
965#390—471no—
966#390—471no—
967#390—471no—
968#390—471no—
969#389—471no—
970#389—471no—
971#388—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#388—471no—
981#388—471no—
982#388—471no—
983#387—471no—
984#387—471no—
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387—471no—
990#387C2×D4711yescharacteristic, complemented
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386—471no—
1002#386—471no—
1003#386—471no—
1004#386—471no—
1005#386—471no—
1006#386C2×D4711yescharacteristic
1007#386C2×D4711yescharacteristic
1008#385—471no—
1009#385—471no—
1010#385—471no—
1011#385—471no—
1012#385—471no—
1013#385—471no—
1014#385C2×D4711yescharacteristic
1015#385C2×D4711yescharacteristic
1016#385C2×D4711yescharacteristic, complemented
1017#381—471no—
1018#381—471no—
1019#380—471no—
1020#380C2×D4711yescharacteristic, complemented
1021#379—471no—
1022C4×C4⋊C4—471no—
1023C4×C4⋊C4—471no—
1024C4×C4⋊C4—471no—
1025C4×C4⋊C4—471no—
1026C4×C22⋊C4—471no—
1027C4×C22⋊C4—471no—
1028C4×C22⋊C4—471no—
1029C4×C22⋊C4—471no—
1030C4×C22⋊C4—471no—
1031C4×C22⋊C4—471no—
1032C4×C22⋊C4—471no—
1033C4×C22⋊C4—471no—
1034C4×C22⋊C4—471no—
1035C4×C22⋊C4—471no—
1036C4×C22⋊C4—471no—
1037C4×C22⋊C4—471no—
1038C4×C22⋊C4—471no—
1039C4×C22⋊C4—471no—
1040C4×C22⋊C4—471no—
1041C4×C22⋊C4—471no—
1042#376—471no—
1043C2×#95—471no—
1044C2×#95C2×D4711yescharacteristic
1045C47#3473211yescharacteristic, complemented, Sylow
1046C25—471no—
1047C2×#41—944no—
1048C2×#41—944no—
1049C2×#41—944no—
1050C2×#41—944no—
1051C2×#41—944no—
1052C2×#41—1882no—
1053C22×Q8—471no—
1054C22×Q8C22×D4711yescharacteristic
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—471no—
1061C22×D4—471no—
1062C22×D4—471no—
1063C22×D4—471no—
1064C22×D4—471no—
1065C22×D4—471no—
1066C22×D4C22×D4711yescharacteristic
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4—471no—
1070C23×C4—471no—
1071C23×C4—471no—
1072C23×C4—471no—
1073C23×C4—471no—
1074C23×C4—471no—
1075C23×C4—471no—
1076C23×C4—471no—
1077C23×C4—471no—
1078C23×C4—471no—
1079C23×C4—471no—
1080C23×C4—944no—
1081C23×C4—944no—
1082C23×C4—1882no—
1083C23×C4C22×D4711yescharacteristic
1084C23×C4C22×D4711yescharacteristic
1085C23×C4C22×D4711yescharacteristic
1086C23×C4C22×D4711yescharacteristic
1087#123—944no—
1088#123—944no—
1089#123—944no—
1090#123—944no—
1091C22⋊Q8—24no—
1092C22⋊Q8—944no—
1093#121—944no—
1094#121—944no—
1095#121—944no—
1096#121—944no—
1097#120—944no—
1098#120—944no—
1099#120—944no—
1100C4×Q8—944no—
1101C4×Q8—944no—
1102C4×D4—24no—
1103C4×D4—478no—
1104C4×D4—944no—
1105C4×D4—944no—
1106C4×D4—944no—
1107C4×D4—944no—
1108C4×D4—944no—
1109C4×D4—944no—
1110C4×D4—944no—
1111C4×D4—944no—
1112C4×D4—1882no—
1113C4×D4—1882no—
1114#117—944no—
1115#117—944no—
1116#117—944no—
1117#117—944no—
1118#117—1882no—
1119C2×C4⋊C4—471no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—471no—
1124C2×C4⋊C4—471no—
1125C2×C4⋊C4—471no—
1126C2×C4⋊C4—471no—
1127C2×C4⋊C4—471no—
1128C2×C4⋊C4—471no—
1129C2×C4⋊C4—471no—
1130C2×C4⋊C4—471no—
1131C2×C4⋊C4—471no—
1132C2×C4⋊C4—471no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4C22×D4711yescharacteristic
1136C2×C4⋊C4C22×D4711yescharacteristic
1137C2×C4⋊C4C22×D4711yescharacteristic
1138C2×C4⋊C4C22×D4711yescharacteristic
1139C2×C4⋊C4C22×D4711yescharacteristic
1140C2×C4⋊C4C22×D4711yescharacteristic
1141C2×C4⋊C4C22×D4711yescharacteristic
1142C2×C4⋊C4C22×D4711yescharacteristic
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—944no—
1182C2×C22⋊C4—944no—
1183C2×C22⋊C4C22×D4711yescharacteristic
1184C2×C22⋊C4C22×D4711yescharacteristic
1185C2×C22⋊C4C22×D4711yescharacteristic
1186C2×C22⋊C4C22×D4711yescharacteristic
1187C2×C22⋊C4C22×D4711yescharacteristic
1188C2×C22⋊C4C22×D4711yescharacteristic
1189C2×C22⋊C4C22×D4711yescharacteristic
1190C2×C22⋊C4C22×D4711yescharacteristic
1191C2×C42—471no—
1192C2×C42—471no—
1193C2×C42—471no—
1194C2×C42—471no—
1195C2×C42—471no—
1196C2×C42—471no—
1197C2×C42—471no—
1198C2×C42—471no—
1199C2×C42—471no—
1200C2×C42—471no—
1201C2×C42—471no—
1202C2×C42—471no—
1203C2×C42—471no—
1204C2×C42—471no—
1205C2×C42—471no—
1206C2×C42—471no—
1207C2×C42—944no—
1208C2×C42—944no—
1209C2×C42—944no—
1210C2×C42—1882no—
1211C2×C42C22×D4711yescharacteristic
1212#95—471no—
1213#95—471no—
1214#95—471no—
1215#95—471no—
1216#95—471no—
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95C22×D4711yescharacteristic
1237#95C22×D4711yescharacteristic
1238#95C22×D4711yescharacteristic
1239#95C22×D4711yescharacteristic
1240#95C22×D4711yescharacteristic
1241#95C22×D4711yescharacteristic
1242#95C22×D4711yescharacteristic
1243#95C22×D4711yescharacteristic
1244#95C22×D4711yescharacteristic
1245#95C22×D4711yescharacteristic
1246#95C22×D4711yescharacteristic
1247#95C22×D4711yescharacteristic
1248C24—471no—
1249C24—471no—
1250C24—471no—
1251C24—471no—
1252C24—942no—
1253C24—942no—
1254C24—942no—
1255C24—942no—
1256C24—942no—
1257C24—1881no—
1258C24—1881no—
1259C24C23×D4711yescharacteristic
1260C24C23×D4711yescharacteristic
1261#41—9432no—
1262#41—18816no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—41no—
1266C2×Q8—942no—
1267C2×Q8—942no—
1268C2×Q8—942no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—474no—
1272C2×D4—942no—
1273C2×D4—942no—
1274C2×D4—942no—
1275C2×D4—942no—
1276C2×D4—942no—
1277C2×D4—942no—
1278C2×D4—942no—
1279C2×D4—942no—
1280C2×D4—942no—
1281C2×D4—942no—
1282C2×D4—942no—
1283C2×D4—942no—
1284C2×D4—942no—
1285C2×D4—942no—
1286C2×D4—942no—
1287C2×D4—942no—
1288C2×D4—942no—
1289C2×D4—942no—
1290C2×D4—942no—
1291C2×D4—942no—
1292C2×D4—942no—
1293C2×D4—942no—
1294C2×D4—942no—
1295C2×D4—942no—
1296C2×D4—1881no—
1297C2×D4—1881no—
1298C2×D4—1881no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C2×D4—1881no—
1302C2×D4—1881no—
1303C2×D4—1881no—
1304C2×D4#1062535414yescomplemented
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—471no—
1318C22×C4—474no—
1319C22×C4—474no—
1320C22×C4—471no—
1321C22×C4—471no—
1322C22×C4—471no—
1323C22×C4—471no—
1324C22×C4—471no—
1325C22×C4—474no—
1326C22×C4—474no—
1327C22×C4—471no—
1328C22×C4—471no—
1329C22×C4—471no—
1330C22×C4—471no—
1331C22×C4—471no—
1332C22×C4—471no—
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—942no—
1346C22×C4—942no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—942no—
1351C22×C4—942no—
1352C22×C4—942no—
1353C22×C4—942no—
1354C22×C4—942no—
1355C22×C4—942no—
1356C22×C4—942no—
1357C22×C4—942no—
1358C22×C4—942no—
1359C22×C4—942no—
1360C22×C4—942no—
1361C22×C4—942no—
1362C22×C4—942no—
1363C22×C4—942no—
1364C22×C4—1881no—
1365C22×C4—1881no—
1366C22×C4—1881no—
1367C22×C4—18816no—
1368C22×C4—1881no—
1369C22×C4C23×D4711yescharacteristic
1370C22×C4C23×D4711yescharacteristic
1371C22×C4C23×D4711yescharacteristic
1372C22×C4C23×D4711yescharacteristic
1373C22×C4C23×D4711yescharacteristic
1374C22×C4C23×D4711yescharacteristic
1375C22×C4C23×D4711yescharacteristic
1376C22×C4C23×D4711yescharacteristic
1377C22×C4C23×D4711yescharacteristic
1378C22×C4C23×D4711yescharacteristic
1379C22×C4C23×D4711yescharacteristic
1380C22×C4C23×D4711yescharacteristic
1381C22×C4C23×D4711yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—474no—
1391C4⋊C4—942no—
1392C4⋊C4—942no—
1393C4⋊C4—942no—
1394C4⋊C4—942no—
1395C4⋊C4—942no—
1396C4⋊C4—942no—
1397C4⋊C4—942no—
1398C4⋊C4—942no—
1399C4⋊C4—942no—
1400C4⋊C4—942no—
1401C4⋊C4—942no—
1402C4⋊C4—942no—
1403C4⋊C4—1881no—
1404C4⋊C4—1881no—
1405C4⋊C4—1881no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—474no—
1414C22⋊C4—474no—
1415C22⋊C4—942no—
1416C22⋊C4—942no—
1417C22⋊C4—942no—
1418C22⋊C4—942no—
1419C22⋊C4—942no—
1420C22⋊C4—942no—
1421C22⋊C4—942no—
1422C22⋊C4—942no—
1423C22⋊C4—942no—
1424C22⋊C4—942no—
1425C22⋊C4—942no—
1426C22⋊C4—942no—
1427C22⋊C4—942no—
1428C22⋊C4—942no—
1429C22⋊C4—942no—
1430C22⋊C4—942no—
1431C22⋊C4—942no—
1432C22⋊C4—942no—
1433C22⋊C4—942no—
1434C22⋊C4—942no—
1435C22⋊C4—942no—
1436C22⋊C4—942no—
1437C22⋊C4—942no—
1438C22⋊C4—942no—
1439C22⋊C4—942no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—942no—
1443C22⋊C4—1881no—
1444C22⋊C4—1881no—
1445C22⋊C4—1881no—
1446C22⋊C4—1881no—
1447C22⋊C4—1881no—
1448C22⋊C4—1881no—
1449C22⋊C4—1881no—
1450C22⋊C4—1881no—
1451C22⋊C4D4×D4714yes—
1452C42—22no—
1453C42—474no—
1454C42—942no—
1455C42—942no—
1456C42—942no—
1457C42—942no—
1458C42—942no—
1459C42—942no—
1460C42—942no—
1461C42—942no—
1462C42—942no—
1463C42—942no—
1464C42—942no—
1465C42—942no—
1466C42—942no—
1467C42—1881no—
1468C42—1881no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—472no—
1480C23—472no—
1481C23—472no—
1482C23—948no—
1483C23—941no—
1484C23—941no—
1485C23—941no—
1486C23—941no—
1487C23—941no—
1488C23—941no—
1489C23—941no—
1490C23—941no—
1491C23—941no—
1492C23—941no—
1493C23—941no—
1494C23—941no—
1495C23—941no—
1496C23—941no—
1497C23—941no—
1498C23—941no—
1499C23—941no—
1500C23—941no—
1501C23—941no—
1502C23—941no—
1503C23—941no—
1504C23—941no—
1505C23—941no—
1506C23—941no—
1507C23—941no—
1508C23—1884no—
1509C23—1884no—
1510C23—1884no—
1511C23—1884no—
1512C23—1884no—
1513C23—1884no—
1514C23C2×D4×D4712yes—
1515C23#41×D4712yes—
1516C23C2×#1062535412yes—
1517C23C2×#1062535412yes—
1518C23C24×D4711yescharacteristic
1519Q8—44no—
1520Q8—948no—
1521D4—28no—
1522D4—948no—
1523D4—948no—
1524D4—1884no—
1525D4—1884no—
1526D4—1884no—
1527D4—1884no—
1528D4—1884no—
1529D4—1884no—
1530D4—1884no—
1531D4—1884no—
1532D4—1884no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—472no—
1572C2×C4—472no—
1573C2×C4—472no—
1574C2×C4—472no—
1575C2×C4—472no—
1576C2×C4—472no—
1577C2×C4—472no—
1578C2×C4—472no—
1579C2×C4—948no—
1580C2×C4—948no—
1581C2×C4—948no—
1582C2×C4—948no—
1583C2×C4—948no—
1584C2×C4—948no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
1604C2×C4—941no—
1605C2×C4—941no—
1606C2×C4—941no—
1607C2×C4—941no—
1608C2×C4—941no—
1609C2×C4—941no—
1610C2×C4—941no—
1611C2×C4—941no—
1612C2×C4—941no—
1613C2×C4—1884no—
1614C2×C4—1884no—
1615C2×C4—1884no—
1616C2×C4—1884no—
1617C2×C4—1884no—
1618C2×C4—1884no—
1619C2×C4—1884no—
1620C2×C4C2×D4×D4712yes—
1621C2×C4C2×D4×D4712yes—
1622C2×C4#41×D4712yes—
1623C2×C4#41×D4712yes—
1624C2×C4C2×#1062535412yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—942no—
1639C22—942no—
1640C22—942no—
1641C22—942no—
1642C22—942no—
1643C22—942no—
1644C22—942no—
1645C22—942no—
1646C22—942no—
1647C22—18816no—
1648C22—1881no—
1649C22—1881no—
1650C22—1881no—
1651C22—1881no—
1652C22—1881no—
1653C22—1881no—
1654C22—1881no—
1655C22—1881no—
1656C22—1881no—
1657C22—1881no—
1658C22—1881no—
1659C22—1881no—
1660C22—1881no—
1661C22—1881no—
1662C22—1881no—
1663C22—1881no—
1664C22—1881no—
1665C22—1881no—
1666C22—1881no—
1667C22#1568963614yes—
1668C22C22×D4×D4711yescharacteristic
1669C22C2×#41×D4711yescharacteristic
1670C22C2×#41×D4711yescharacteristic
1671C22C2×#41×D4711yescharacteristic
1672C22C22×#1062535411yescharacteristic
1673C22H(5,𝔽2)×D4711yescharacteristic
1674C22#1568995811yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—474no—
1689C4—942no—
1690C4—942no—
1691C4—942no—
1692C4—942no—
1693C4—942no—
1694C4—1881no—
1695C4—1881no—
1696C4—1881no—
1697C4—1881no—
1698C4—1881no—
1699C4—1881no—
1700C2—24no—
1701C2—42no—
1702C2—3761no—
1703C2—1882no—
1704C2—1882no—
1705C2—1882no—
1706C2C2×#1568963611yescharacteristic
1707C2#2025668211yescharacteristic
1708C2#2025680711yescharacteristic
1709C2#546×D4711yescharacteristic
1710C2#2025687211yescharacteristic
1711C2#2025695411yescharacteristic
1712C2#2025699911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2450C2
hypercenter#2450D47
hypocenterC47#34732
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2450

Complements

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

NH ≅ G/Ntype
1. C2×#15689636C2semidirect
2. C2×C4×#10625352C2semidirect
3. #20247592C2semidirect
4. #20247577C2semidirect
5. #20247502C2semidirect
6. #20247487C2semidirect
7. #20247416C2semidirect
8. #20247401C2semidirect
9. #20247317C2semidirect
10. #20247302C2semidirect
11. #20247138C2semidirect
12. #20247060C2semidirect
13. #20246996C2semidirect
14. #20246918C2semidirect
15. #20246852C2semidirect
16. #20246771C2semidirect
17. #20246706C2semidirect
18. #20246677C2semidirect
19. #20246665C2semidirect
20. #20246633C2semidirect
21. #20246605C2semidirect
22. #20245909C2semidirect
23. #20245907C2semidirect
24. #20245898C2semidirect
25. #20245894C2semidirect
26. #20245893C2semidirect
27. #20245877C2semidirect
28. #20245824C2semidirect
29. #20245824C2semidirect
30. C2×#15688970C2semidirect
31. C47×#2450C2semidirect
49. C2×C4×Dic94C22semidirect
50. C2×#13093989C22semidirect
55. C2×C4×C22⋊D47C22semidirect
60. C2×(C22⋊D47)⋊C4C22semidirect
61. C2×(C22⋊D47)⋊C4C22semidirect
63. C2×#13093982C22semidirect
64. C2×#13093982C22semidirect
66. C2×#13093980C22semidirect
71. C22×C4×Dic47C22semidirect
72. C2×C42×D47C22semidirect
73. #15689065C22semidirect
74. #15689061C22semidirect
76. #15689056C22semidirect
77. #15689056C22semidirect
79. #15689052C22semidirect
80. #15689052C22semidirect
84. #15689044C22semidirect
85. #15689042C22semidirect
89. #15689041C22semidirect
93. #15689039C22semidirect
96. #15689036C22semidirect
100. #15689032C22semidirect
101. #15689030C22semidirect
105. #15689023C22semidirect
106. #15689020C22semidirect
107. #15689019C22semidirect
110. #15689015C22semidirect
111. #15689015C22semidirect
114. #15689013C22semidirect
115. #15689013C22semidirect
116. #15689013C22semidirect
118. #15689012C22semidirect
119. #15689011C22semidirect
120. #15689010C22semidirect
121. #15689010C22semidirect
122. #15689006C22semidirect
123. #15689006C22semidirect
124. #15689004C22semidirect
125. #15689004C22semidirect
126. #15689004C22semidirect
134. #15689001C22semidirect
135. #15689001C22semidirect
139. #15689000C22semidirect
143. #15688998C22semidirect
146. #15688997C22semidirect
148. #15688985C22semidirect
152. C4⋊C4×Dic47C22semidirect
153. C4⋊C4×Dic47C22semidirect
154. C4⋊C4×Dic47C22semidirect
155. #15688974C22semidirect
157. C22⋊C4×Dic47C22semidirect
168. #15688970C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
171. #15688970C22semidirect
172. #15688968C22semidirect
176. C47×#400C22semidirect
177. C47×#398C22semidirect
178. C47×#396C22semidirect
179. C47×#393C22semidirect
180. C47×#391C22semidirect
181. C47×#387C22semidirect
186. C47×#385C22semidirect
187. C47×#380C22semidirect
248. (C22⋊D47)⋊C4D4semidirect
409. C2×D4×C47#41semidirect
467. C22×Dic47#41semidirect
521. C2×C4×D47#41semidirect
579. (C2×D47)⋊C4#41semidirect
854. #2450D47semidirect
933. #400C2×D47semidirect
937. #398C2×D47semidirect
944. #396C2×D47semidirect
958. #393C2×D47semidirect
964. #391C2×D47semidirect
990. #387C2×D47semidirect
1016. #385C2×D47semidirect
1020. #380C2×D47semidirect
1045. C47#34732semidirect
1304. C2×D4#10625354semidirect

Maximal subgroups

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

subgroupindex
C2×#156896362
C2×C4×#106253522
#202475922
#202475772
#202475022
#202474872
#202474162
#202474012
#202473172
#202473022
#202471382
#202470602
#202469962
#202469182
#202468522
#202467712
#202467062
#202466772
#202466652
#202466332
#202466052
#202459092
#202459072
#202458982
#202458942
#202458932
#202458772
#202458242
C2×#156889702
C47×#24502
#3473247