Finite Group Databasebeta

← #26388951

Subgroups — #26388951

Order 12032.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689706C211yesmaximal, characteristic, complemented
2C2×C4×D4×D47C211yesmaximal, characteristic, complemented
3#20251704C211yesmaximal, characteristic, complemented
4#20251690C211yesmaximal, characteristic, complemented
5#20251681C211yesmaximal, characteristic, complemented
6#20251671C211yesmaximal, characteristic, complemented
7#20249287C211yesmaximal, characteristic, complemented
8#20249275C211yesmaximal, characteristic, complemented
9#20249243C211yesmaximal, characteristic, complemented
10#20249229C211yesmaximal, characteristic, complemented
11#20247647C211yesmaximal, characteristic, complemented
12#20247512C211yesmaximal, characteristic, complemented
13#20247437C211yesmaximal, characteristic, complemented
14#20247323C211yesmaximal, characteristic, complemented
15#20247278C211yesmaximal, characteristic, complemented
16#20247277C211yesmaximal, characteristic, complemented
17#20247210C211yesmaximal, characteristic, complemented
18#20247136C211yesmaximal, characteristic, complemented
19#20247128C211yesmaximal, characteristic, complemented
20#20247052C211yesmaximal, characteristic, complemented
21#20246929C211yesmaximal, characteristic, complemented
22#20246922C211yesmaximal, characteristic, complemented
23#20246848C211yesmaximal, characteristic, complemented
24#20246761C211yesmaximal, characteristic, complemented
25#20246760C211yesmaximal, characteristic, complemented
26#20246700C211yesmaximal, characteristic, complemented
27#20246091C211yesmaximal, characteristic, complemented
28#20246048C211yesmaximal, characteristic, complemented
29C4×#13093994C211yesmaximal, characteristic, complemented
30C2×#15689001C211yesmaximal, characteristic, complemented
31C47×#2318C211yesmaximal, characteristic, complemented
32C23×D188C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C23×C4×D47C2211yescharacteristic, complemented
36#15689706—28no—
37C2×#13094019C2211yescharacteristic, complemented
38C2×#13094018C2211yescharacteristic, complemented
39C2×#13094012C2211yescharacteristic, complemented
40C2×#13094010C2211yescharacteristic, complemented
41C2×#13094009C2211yescharacteristic, complemented
42C2×#13094008C2211yescharacteristic, complemented
43C2×#13094007C2211yescharacteristic, complemented
44C2×#13094004C2211yescharacteristic, complemented
45C2×#13094001C2211yescharacteristic, complemented
46C2×#13093999C2211yescharacteristic
47C2×#13093999C2211yescharacteristic
48C2×#13093999C2211yescharacteristic, complemented
49C2×#13093998C2211yescharacteristic
50C2×#13093998C2211yescharacteristic, complemented
51C2×#13093997C2211yescharacteristic, complemented
52C2×#13093996C2211yescharacteristic
53C2×#13093994C2211yescharacteristic
54C2×#13093994C2211yescharacteristic
55C2×#13093994C2211yescharacteristic
56C2×#13093994C2211yescharacteristic
57C2×#13093994C2211yescharacteristic, complemented
58C2×#13093994C2211yescharacteristic, complemented
59C2×#13093992C2211yescharacteristic
60C2×C4×D188C2211yescharacteristic, complemented
61C2×C4×D188C2211yescharacteristic, complemented
62C2×C4×D188C2211yescharacteristic, complemented
63C2×D4×Dic47C2211yescharacteristic
64C2×#13093986C2211yescharacteristic, complemented
65C2×C4×C22⋊D47C2211yescharacteristic
66C2×C4×C22⋊D47C2211yescharacteristic, complemented
67C2×C4×C22⋊D47C2211yescharacteristic, complemented
68C2×(C22⋊D47)⋊C4C2211yescharacteristic
69C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
70C4×D4×D47—28no—
71C2×C4⋊C4×D47C2211yescharacteristic, complemented
72C22×(C2×D47)⋊C4C2211yescharacteristic
73C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
74C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
75C2×C22⋊C4×D47C2211yescharacteristic
76C2×C22⋊C4×D47C2211yescharacteristic, complemented
77C2×C42×D47C2211yescharacteristic, complemented
78#15689063C2211yescharacteristic, complemented
79#15689063C2211yescharacteristic, complemented
80#15689060C2211yescharacteristic, complemented
81#15689060C2211yescharacteristic, complemented
82#15689053C2211yescharacteristic, complemented
83#15689050C2211yescharacteristic, complemented
84#15689050C2211yescharacteristic, complemented
85#15689048C2211yescharacteristic, complemented
86#15689045C2211yescharacteristic, complemented
87#15689045C2211yescharacteristic, complemented
88#15689045C2211yescharacteristic, complemented
89#15689045C2211yescharacteristic, complemented
90#15689041C2211yescharacteristic, complemented
91#15689041C2211yescharacteristic, complemented
92#15689040C2211yescharacteristic, complemented
93#15689040C2211yescharacteristic, complemented
94#15689040C2211yescharacteristic, complemented
95#15689039C2211yescharacteristic, complemented
96#15689039C2211yescharacteristic, complemented
97#15689039C2211yescharacteristic, complemented
98#15689039C2211yescharacteristic, complemented
99#15689036C2211yescharacteristic, complemented
100#15689036C2211yescharacteristic, complemented
101#15689033C2211yescharacteristic
102#15689033C2211yescharacteristic
103#15689033C2211yescharacteristic, complemented
104#15689033C2211yescharacteristic, complemented
105#15689033C2211yescharacteristic, complemented
106#15689033C2211yescharacteristic, complemented
107#15689032C2211yescharacteristic
108#15689032C2211yescharacteristic
109#15689032C2211yescharacteristic, complemented
110#15689028C2211yescharacteristic, complemented
111#15689025C2211yescharacteristic, complemented
112#15689025C2211yescharacteristic, complemented
113#15689024C2211yescharacteristic, complemented
114#15689015C2211yescharacteristic, complemented
115#15689015C2211yescharacteristic, complemented
116#15689015C2211yescharacteristic, complemented
117#15689015C2211yescharacteristic, complemented
118#15689015C2211yescharacteristic, complemented
119#15689015C2211yescharacteristic, complemented
120#15689015C2211yescharacteristic, complemented
121#15689015C2211yescharacteristic, complemented
122#15689014C2211yescharacteristic, complemented
123#15689014C2211yescharacteristic, complemented
124#15689008C2211yescharacteristic, complemented
125#15689008C2211yescharacteristic, complemented
126#15689008C2211yescharacteristic, complemented
127#15689008C2211yescharacteristic, complemented
128#15689002C2211yescharacteristic
129#15689002C2211yescharacteristic, complemented
130#15689001C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic
137#15689001C2211yescharacteristic
138#15689001C2211yescharacteristic, complemented
139#15689001C2211yescharacteristic, complemented
140#15689001C2211yescharacteristic, complemented
141#15689001C2211yescharacteristic, complemented
142#15689001C2211yescharacteristic, complemented
143#15689001C2211yescharacteristic, complemented
144#15689001C2211yescharacteristic, complemented
145#15689001C2211yescharacteristic, complemented
146#15689001C2211yescharacteristic, complemented
147#15689001C2211yescharacteristic, complemented
148#15689001C2211yescharacteristic, complemented
149#15689001C2211yescharacteristic, complemented
150#15689000C2211yescharacteristic
151#15689000C2211yescharacteristic, complemented
152#15689000C2211yescharacteristic, complemented
153#15689000C2211yescharacteristic, complemented
154#15688998C2211yescharacteristic, complemented
155#15688998C2211yescharacteristic, complemented
156#15688997C2211yescharacteristic, complemented
157#15688997C2211yescharacteristic, complemented
158#15688997C2211yescharacteristic, complemented
159#15688997C2211yescharacteristic, complemented
160#15688997C2211yescharacteristic, complemented
161#15688997C2211yescharacteristic, complemented
162#15688997C2211yescharacteristic, complemented
163#15688997C2211yescharacteristic, complemented
164#15688984C2211yescharacteristic, complemented
165#15688983C2211yescharacteristic, complemented
166#15688980C2211yescharacteristic, complemented
167#15688980C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic
169#15688978C2211yescharacteristic, complemented
170#15688978C2211yescharacteristic, complemented
171C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
172C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
173C2×C47⋊#95C2211yescharacteristic, complemented
174C2×C4×D4×C47C2211yescharacteristic
175C47×#388C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic, complemented
177C47×#387C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#385C2211yescharacteristic, complemented
182C47×#385C2211yescharacteristic, complemented
183C47×#383C2211yescharacteristic, complemented
184C47×#382C2211yescharacteristic, complemented
185C47×#381C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C2×#95×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C24×D47C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×D188—24no—
194C22×D188—42no—
195C22×D188—42no—
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×D188C2311yescharacteristic
201C22×D188C2311yescharacteristic
202C22×D188C2311yescharacteristic
203C22×D188C2311yescharacteristic
204C22×D188C2311yescharacteristic
205C22×D188C2311yescharacteristic
206C22×D188C2311yescharacteristic
207C22×D188C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C22×C22⋊D47C2311yescharacteristic
211C22×C22⋊D47C2311yescharacteristic
212C22×C22⋊D47C2311yescharacteristic
213C22×C22⋊D47C2311yescharacteristic
214C2×D4×D47—24no—
215C2×D4×D47—24no—
216C2×D4×D47—24no—
217C23×Dic47C2311yescharacteristic
218C23×Dic47C2311yescharacteristic
219C23×Dic47C2311yescharacteristic
220C22×C4×D47—24no—
221C22×C4×D47—24no—
222C22×C4×D47—42no—
223C22×C4×D47—42no—
224C22×C4×D47—42no—
225C22×C4×D47—42no—
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228C22×C4×D47C2311yescharacteristic
229C22×C4×D47C2311yescharacteristic
230C22×C4×D47C2311yescharacteristic
231C22×C4×D47C2311yescharacteristic
232C22×C4×D47C2311yescharacteristic
233C22×C4×D47C2311yescharacteristic
234C22×C4×D47C2311yescharacteristic
235C22×C4×D47C2311yescharacteristic
236#13094019—24no—
237#13094018—24no—
238#13094012—24no—
239#13094010—24no—
240#13094009—24no—
241#13094008—42no—
242#13094007—24no—
243#13094004—42no—
244#13094001—24no—
245#13093999—42no—
246#13093999—42no—
247#13093999—42no—
248#13093998—24no—
249#13093998—24no—
250#13093997—24no—
251#13093996—24no—
252#13093994—24no—
253#13093994—24no—
254#13093994—24no—
255#13093994—42no—
256#13093994—42no—
257#13093994—42no—
258#13093992—24no—
259C4×D188—24no—
260C4×D188—42no—
261C4×D188—42no—
262D4×Dic47—24no—
263#13093986—24no—
264C4×C22⋊D47—24no—
265C4×C22⋊D47—24no—
266C4×C22⋊D47—24no—
267(C22⋊D47)⋊C4—24no—
268(C22⋊D47)⋊C4—24no—
269C2×C4⋊Dic47C2311yescharacteristic
270C2×C4⋊Dic47C2311yescharacteristic
271C2×C4⋊Dic47C2311yescharacteristic
272C2×C4⋊Dic47C2311yescharacteristic
273C2×C4⋊Dic47C2311yescharacteristic
274C2×C4⋊Dic47C2311yescharacteristic
275C2×C4⋊Dic47C2311yescharacteristic
276C2×C4⋊Dic47C2311yescharacteristic
277C2×C4⋊Dic47C2311yescharacteristic
278C2×Dic47⋊C4C2311yescharacteristic
279C2×Dic47⋊C4C2311yescharacteristic
280C2×Dic47⋊C4C2311yescharacteristic
281C2×Dic47⋊C4C2311yescharacteristic
282C2×Dic47⋊C4C2311yescharacteristic
283C2×Dic47⋊C4C2311yescharacteristic
284C4⋊C4×D47—24no—
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×(C2×D47)⋊C4—24no—
290C2×(C2×D47)⋊C4—42no—
291C2×(C2×D47)⋊C4—42no—
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×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×(C2×D47)⋊C4C2311yescharacteristic
319C2×(C2×D47)⋊C4C2311yescharacteristic
320C2×(C2×D47)⋊C4C2311yescharacteristic
321C2×(C2×D47)⋊C4C2311yescharacteristic
322C2×(C2×D47)⋊C4C2311yescharacteristic
323C2×(C2×D47)⋊C4C2311yescharacteristic
324C2×(C2×D47)⋊C4C2311yescharacteristic
325C2×(C2×D47)⋊C4C2311yescharacteristic
326C2×(C2×D47)⋊C4C2311yescharacteristic
327C2×(C2×D47)⋊C4C2311yescharacteristic
328C2×(C2×D47)⋊C4C2311yescharacteristic
329C2×(C2×D47)⋊C4C2311yescharacteristic
330C2×(C2×D47)⋊C4C2311yescharacteristic
331C2×(C2×D47)⋊C4C2311yescharacteristic
332C2×(C2×D47)⋊C4C2311yescharacteristic
333C2×(C2×D47)⋊C4C2311yescharacteristic
334C2×(C2×D47)⋊C4C2311yescharacteristic
335C2×(C2×D47)⋊C4C2311yescharacteristic
336C22⋊C4×D47—24no—
337C22⋊C4×D47—24no—
338C2×C4×Dic47C2311yescharacteristic
339C2×C4×Dic47C2311yescharacteristic
340C2×C4×Dic47C2311yescharacteristic
341C2×C4×Dic47C2311yescharacteristic
342C42×D47—24no—
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C47⋊#95C2311yescharacteristic
355C47⋊#95C2311yescharacteristic
356C47⋊#95C2311yescharacteristic
357C47⋊#95C2311yescharacteristic
358C47⋊#95C2311yescharacteristic
359C47⋊#95C2311yescharacteristic
360C47⋊#95C2311yescharacteristic
361C22×D4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic
363C23×C4×C47C2311yescharacteristic
364C23×C4×C47C2311yescharacteristic
365C23×C4×C47C2311yescharacteristic
366C4×D4×C47D418yescomplemented
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C42×C47C2311yescharacteristic
381C2×C42×C47C2311yescharacteristic
382C2×C42×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
391#95×C47C2311yescharacteristic
392#95×C47C2311yescharacteristic
393#95×C47C2311yescharacteristic
394#95×C47C2311yescharacteristic
395#95×C47C2311yescharacteristic
396#95×C47C2311yescharacteristic
397C24×C47C2411yescharacteristic
398C24×C47C2411yescharacteristic
399C23×D47—22no—
400C23×D47—22no—
401C23×D47—22no—
402C23×D47—22no—
403C23×D47—22no—
404C23×D47—22no—
405C23×D47—22no—
406C23×D47—22no—
407C23×D47—22no—
408C23×D47—22no—
409C23×D47—22no—
410C23×D47—22no—
411C23×D47—41no—
412C23×D47—41no—
413C23×D47—41no—
414C23×D47—41no—
415C23×D47—41no—
416C23×D47—41no—
417C23×D47—41no—
418C23×D47—41no—
419C23×D47#4114yes—
420C23×D47C2411yescharacteristic
421C23×D47C2411yescharacteristic
422C23×D47C2411yescharacteristic
423C23×D47C2411yescharacteristic
424C23×D47C2411yescharacteristic
425C23×D47C2411yescharacteristic
426C2×D4×C47—22no—
427C2×D4×C47—22no—
428C2×D4×C47C2×D414yes—
429C22×C4×C47—22no—
430C22×C4×C47—22no—
431C22×C4×C47—41no—
432C22×C4×C47—41no—
433C22×C4×C47—41no—
434C22×C4×C47—41no—
435C22×C4×C47—41no—
436C22×C4×C47—41no—
437C22×C4×C47—41no—
438C22×C4×C47—41no—
439C22×C4×C47C2×D414yes—
440C22×C4×C47C2×D414yescomplemented
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C22×C4×C47C2411yescharacteristic
452C22×C4×C47C2411yescharacteristic
453C22×C4×C47C2411yescharacteristic
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—22no—
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—41no—
466C2×C22⋊D47—41no—
467C2×C22⋊D47—41no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—41no—
471C2×C22⋊D47#4114yes—
472C22×Dic47—22no—
473C22×Dic47—22no—
474C22×Dic47—22no—
475C22×Dic47—22no—
476C22×Dic47—22no—
477C22×Dic47—41no—
478C22×Dic47—41no—
479C22×Dic47—41no—
480C22×Dic47—41no—
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487C22×Dic47C2411yescharacteristic
488C22×Dic47C2411yescharacteristic
489C22×Dic47C2411yescharacteristic
490C22×Dic47C2411yescharacteristic
491D4×D47—232no—
492C2×D188—22no—
493C2×D188—22no—
494C2×D188—22no—
495C2×D188—22no—
496C2×D188—22no—
497C2×D188—22no—
498C2×D188—22no—
499C2×D188—22no—
500C2×D188—22no—
501C2×D188—22no—
502C2×D188—22no—
503C2×D188—22no—
504C2×D188—22no—
505C2×D188—22no—
506C2×D188—22no—
507C2×D188—22no—
508C2×D188—22no—
509C2×D188—22no—
510C2×D188—22no—
511C2×D188—22no—
512C2×D188—41no—
513C2×D188—41no—
514C2×D188—41no—
515C2×D188—41no—
516C2×D188—41no—
517C2×D188—41no—
518C2×D188—416no—
519C2×D188—41no—
520C2×D188—41no—
521C2×D188—41no—
522C2×D188—41no—
523C2×D188—41no—
524C2×D188—41no—
525C2×D188—41no—
526C2×D188—41no—
527C2×D188—41no—
528C2×D188—41no—
529C2×C4×D47—22no—
530C2×C4×D47—22no—
531C2×C4×D47—22no—
532C2×C4×D47—22no—
533C2×C4×D47—22no—
534C2×C4×D47—22no—
535C2×C4×D47—22no—
536C2×C4×D47—22no—
537C2×C4×D47—22no—
538C2×C4×D47—22no—
539C2×C4×D47—22no—
540C2×C4×D47—22no—
541C2×C4×D47—22no—
542C2×C4×D47—22no—
543C2×C4×D47—22no—
544C2×C4×D47—22no—
545C2×C4×D47—22no—
546C2×C4×D47—22no—
547C2×C4×D47—22no—
548C2×C4×D47—416no—
549C2×C4×D47—416no—
550C2×C4×D47—41no—
551C2×C4×D47—41no—
552C2×C4×D47—41no—
553C2×C4×D47—41no—
554C2×C4×D47—41no—
555C2×C4×D47—41no—
556C2×C4×D47—41no—
557C2×C4×D47—41no—
558C2×C4×D47—41no—
559C2×C4×D47—41no—
560C2×C4×D47—41no—
561C2×Dic94—22no—
562C2×Dic94—41no—
563C2×Dic94—41no—
564C4⋊C4×C47—41no—
565C4⋊C4×C47—41no—
566C4⋊C4×C47—41no—
567C4⋊C4×C47—41no—
568C4⋊C4×C47C2×D414yescomplemented
569C22⋊C4×C47—22no—
570C22⋊C4×C47—22no—
571C22⋊C4×C47—41no—
572C22⋊C4×C47—41no—
573C22⋊C4×C47—41no—
574C22⋊C4×C47—41no—
575C22⋊C4×C47C2×D414yes—
576C22⋊C4×C47C2×D414yescomplemented
577C42×C47—41no—
578C42×C47—41no—
579C42×C47C2×D414yescomplemented
580C22⋊Dic47—22no—
581C22⋊Dic47—22no—
582C22⋊Dic47—22no—
583C22⋊Dic47—22no—
584(C2×D47)⋊C4—22no—
585(C2×D47)⋊C4—22no—
586(C2×D47)⋊C4—22no—
587(C2×D47)⋊C4—22no—
588(C2×D47)⋊C4—22no—
589(C2×D47)⋊C4—22no—
590(C2×D47)⋊C4—22no—
591(C2×D47)⋊C4—22no—
592(C2×D47)⋊C4—22no—
593(C2×D47)⋊C4—22no—
594(C2×D47)⋊C4—22no—
595(C2×D47)⋊C4—22no—
596(C2×D47)⋊C4—22no—
597(C2×D47)⋊C4—22no—
598(C2×D47)⋊C4—22no—
599(C2×D47)⋊C4—22no—
600(C2×D47)⋊C4—22no—
601(C2×D47)⋊C4—22no—
602(C2×D47)⋊C4—22no—
603(C2×D47)⋊C4—22no—
604(C2×D47)⋊C4—22no—
605(C2×D47)⋊C4—22no—
606(C2×D47)⋊C4—22no—
607(C2×D47)⋊C4—22no—
608(C2×D47)⋊C4—22no—
609(C2×D47)⋊C4—22no—
610(C2×D47)⋊C4—22no—
611(C2×D47)⋊C4—41no—
612(C2×D47)⋊C4—41no—
613(C2×D47)⋊C4—41no—
614(C2×D47)⋊C4—41no—
615(C2×D47)⋊C4—41no—
616(C2×D47)⋊C4—41no—
617(C2×D47)⋊C4—41no—
618(C2×D47)⋊C4—41no—
619(C2×D47)⋊C4—41no—
620(C2×D47)⋊C4—41no—
621(C2×D47)⋊C4—41no—
622(C2×D47)⋊C4—41no—
623(C2×D47)⋊C4—41no—
624(C2×D47)⋊C4—41no—
625(C2×D47)⋊C4—41no—
626(C2×D47)⋊C4—41no—
627(C2×D47)⋊C4—41no—
628C4⋊Dic47—22no—
629C4⋊Dic47—22no—
630C4⋊Dic47—22no—
631C4⋊Dic47—22no—
632C4⋊Dic47—41no—
633C4⋊Dic47—41no—
634C4⋊Dic47—41no—
635C4⋊Dic47—41no—
636C4⋊Dic47—41no—
637Dic47⋊C4—22no—
638Dic47⋊C4—22no—
639Dic47⋊C4—22no—
640Dic47⋊C4—22no—
641Dic47⋊C4—22no—
642Dic47⋊C4—22no—
643C4×Dic47—22no—
644C4×Dic47—22no—
645C4×Dic47—22no—
646C4×Dic47—22no—
647C23×C47—21no—
648C23×C47—21no—
649C23×C47—21no—
650C23×C47—21no—
651C23×C47—21no—
652C23×C47—21no—
653C23×C47—21no—
654C23×C47—21no—
655C23×C47—21no—
656C23×C47—21no—
657C23×C47C22×D412yes—
658C23×C47C22×D412yes—
659C23×C47C2×#4112yes—
660C23×C47C2×#4112yes—
661C23×C47C2511yescharacteristic
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—28no—
667C22×D47—28no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—21no—
673C22×D47—21no—
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
677C22×D47—21no—
678C22×D47—21no—
679C22×D47—21no—
680C22×D47—28no—
681C22×D47—21no—
682C22×D47—21no—
683C22×D47—21no—
684C22×D47—21no—
685C22×D47—21no—
686C22×D47—21no—
687C22×D47—21no—
688C22×D47—21no—
689C22×D47—21no—
690C22×D47—21no—
691C22×D47—21no—
692C22×D47—21no—
693C22×D47—21no—
694C22×D47—21no—
695C22×D47—21no—
696C22×D47—21no—
697C22×D47—21no—
698C22×D47—21no—
699C22×D47—21no—
700C22×D47—21no—
701C22×D47—21no—
702C22×D47—44no—
703C22×D47—44no—
704C22×D47—44no—
705C22×D47—44no—
706C22×D47—44no—
707C22×D47—44no—
708C22×D47—44no—
709C22×D47—44no—
710C22×D47—44no—
711C22×D47—44no—
712C22×D47—44no—
713C22×D47—44no—
714C22×D47—44no—
715C22×D47—44no—
716C22×D47—82no—
717C22×D47—82no—
718C22×D47—82no—
719C22×D47—82no—
720C22×D47C2×#4112yes—
721C22×D47C2×#4112yes—
722C22×D47C2×#4112yes—
723C22×D47H(5,𝔽2)12yes—
724C22×D47H(5,𝔽2)12yes—
725D4×C47—28no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—21no—
740C2×C4×C47—21no—
741C2×C4×C47—21no—
742C2×C4×C47—21no—
743C2×C4×C47—21no—
744C2×C4×C47—21no—
745C2×C4×C47—21no—
746C2×C4×C47—21no—
747C2×C4×C47—21no—
748C2×C4×C47—21no—
749C2×C4×C47—21no—
750C2×C4×C47—21no—
751C2×C4×C47—21no—
752C2×C4×C47—21no—
753C2×C4×C47—21no—
754C2×C4×C47—21no—
755C2×C4×C47—21no—
756C2×C4×C47—21no—
757C2×C4×C47—21no—
758C2×C4×C47—21no—
759C2×C4×C47—21no—
760C2×C4×C47—44no—
761C2×C4×C47—44no—
762C2×C4×C47—44no—
763C2×C4×C47—82no—
764C2×C4×C47C22×D412yes—
765C2×C4×C47C22×D412yes—
766C2×C4×C47C22×D412yes—
767C2×C4×C47C22×D412yes—
768C2×C4×C47C22×D412yes—
769C22⋊D47—28no—
770C22⋊D47—28no—
771C22⋊D47—44no—
772C22⋊D47—82no—
773C22⋊D47—82no—
774C22⋊D47—82no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—21no—
782C2×Dic47—21no—
783C2×Dic47—21no—
784C2×Dic47—21no—
785C2×Dic47—21no—
786C2×Dic47—21no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—21no—
790C2×Dic47—21no—
791C2×Dic47—21no—
792C2×Dic47—21no—
793C2×Dic47—21no—
794C2×Dic47—21no—
795C2×Dic47—21no—
796C2×Dic47—21no—
797C2×Dic47—21no—
798C2×Dic47—21no—
799C2×Dic47—21no—
800C2×Dic47—21no—
801C2×Dic47—21no—
802C2×Dic47—21no—
803C2×Dic47—44no—
804C2×Dic47—44no—
805C2×Dic47—82no—
806C2×Dic47C2×#4112yes—
807C2×Dic47H(5,𝔽2)12yes—
808D188—28no—
809D188—44no—
810D188—44no—
811D188—44no—
812D188—44no—
813D188—44no—
814D188—44no—
815D188—82no—
816D188—82no—
817D188—82no—
818D188—82no—
819D188—82no—
820C4×D47—28no—
821C4×D47—28no—
822C4×D47—44no—
823C4×D47—44no—
824C4×D47—44no—
825C4×D47—44no—
826C4×D47—44no—
827C4×D47—44no—
828C4×D47—44no—
829C4×D47—82no—
830Dic94—82no—
831#34990—471nomaximal, Sylow
832C22×C47—22no—
833C22×C47—22no—
834C22×C47—22no—
835C22×C47—22no—
836C22×C47—22no—
837C22×C47—22no—
838C22×C47—22no—
839C22×C47—22no—
840C22×C47—22no—
841C22×C47—41no—
842C22×C47—41no—
843C22×C47—41no—
844C22×C47—41no—
845C22×C47#52514yes—
846C22×C47C23×D411yescharacteristic
847C22×C47C22×#4111yescharacteristic
848C22×C47C22×#4111yescharacteristic
849C22×C47C2×H(5,𝔽2)11yescharacteristic
850C22×C47C2×H(5,𝔽2)11yescharacteristic
851C22×C47C2×H(5,𝔽2)11yescharacteristic
852C22×C47#58511yescharacteristic
853C2×D47—22no—
854C2×D47—22no—
855C2×D47—22no—
856C2×D47—22no—
857C2×D47—22no—
858C2×D47—22no—
859C2×D47—22no—
860C2×D47—22no—
861C2×D47—22no—
862C2×D47—22no—
863C2×D47—22no—
864C2×D47—22no—
865C2×D47—416no—
866C2×D47—416no—
867C2×D47—41no—
868C2×D47—41no—
869C2×D47—41no—
870C2×D47—41no—
871C2×D47—41no—
872C2×D47—41no—
873C2×D47—41no—
874C2×D47—41no—
875C2×D47—41no—
876C2×D47—41no—
877C2×D47—41no—
878C2×D47—41no—
879C2×D47—41no—
880C2×D47—41no—
881C2×D47—41no—
882C2×D47—41no—
883C2×D47—41no—
884C2×D47—41no—
885C2×D47—41no—
886C2×D47—41no—
887C2×D47—41no—
888C2×D47—41no—
889C2×D47—41no—
890C2×D47—41no—
891C2×D47—41no—
892C2×D47—41no—
893C2×D47—41no—
894C2×D47—41no—
895C2×D47—41no—
896C2×D47—88no—
897C2×D47#53814yescomplemented
898C4×C47—22no—
899C4×C47—22no—
900C4×C47—22no—
901C4×C47—22no—
902C4×C47—22no—
903C4×C47—41no—
904C4×C47—41no—
905C4×C47—41no—
906C4×C47—41no—
907C4×C47—41no—
908C4×C47—41no—
909C4×C47—41no—
910C4×C47—41no—
911Dic47—22no—
912Dic47—22no—
913Dic47—41no—
914Dic47—41no—
915Dic47—41no—
916Dic47—41no—
917Dic47—41no—
918Dic47—41no—
919Dic47—41no—
920Dic47—41no—
921C2×#538—471no—
922C22×C4×D4—471no—
923#2852—471no—
924#2850—471no—
925#2849—471no—
926#2847—471no—
927#2636—471no—
928#2635—471no—
929#2631—471no—
930#2630—471no—
931#2481—471no—
932#2472—471no—
933#2467—471no—
934#2459—471no—
935#2456—471no—
936#2456—471no—
937#2450—471no—
938#2444—471no—
939#2443—471no—
940#2437—471no—
941#2424—471no—
942#2424—471no—
943#2418—471no—
944#2410—471no—
945#2410—471no—
946#2403—471no—
947#2325—471no—
948#2321—471no—
949#2318D4711yescharacteristic, complemented
950C4×#120—471no—
951C2×#386—471no—
952C2×C47—24no—
953C2×C47—42no—
954C2×C47C2×#52511yescharacteristic
955C2×C47C2×#53811yescharacteristic
956C2×C47#345911yescharacteristic
957C2×C47#348411yescharacteristic
958C2×C47#348811yescharacteristic
959C2×C47#351311yescharacteristic
960C2×C47#351911yescharacteristic
961D47—24no—
962D47—42no—
963D47—42no—
964D47—81no—
965D47—81no—
966D47—81no—
967C23×D4—471no—
968C23×D4—471no—
969C24×C4—471no—
970C24×C4—471no—
971#538—948no—
972C2×#126—471no—
973C2×#126—471no—
974C2×#124—471no—
975C2×#124—471no—
976C2×#123—471no—
977C2×#123—471no—
978C2×#123—471no—
979C2×C22⋊Q8—471no—
980C2×C22⋊Q8—471no—
981C2×#121—471no—
982C2×#121—471no—
983C2×#121—471no—
984C2×#121—471no—
985C2×#121—471no—
986C2×#121—471no—
987C2×#121—471no—
988C2×#120—471no—
989C2×#120—471no—
990C2×#120—471no—
991C2×#120—471no—
992C2×#120—471no—
993C2×#120—471no—
994C2×#120—471no—
995C2×C4×D4—471no—
996C2×C4×D4—471no—
997C2×C4×D4—471no—
998C2×C4×D4—471no—
999C2×C4×D4—471no—
1000C2×C4×D4—471no—
1001C2×C4×D4—471no—
1002C2×C4×D4—471no—
1003C2×C4×D4—471no—
1004C2×C4×D4—471no—
1005C2×C4×D4—948no—
1006C2×C4×D4C2×D4711yescharacteristic
1007C22×C4⋊C4—471no—
1008C22×C22⋊C4—471no—
1009C22×C22⋊C4—471no—
1010C22×C22⋊C4—471no—
1011C22×C22⋊C4—471no—
1012C22×C22⋊C4—471no—
1013C22×C42—471no—
1014#400—471no—
1015#400—471no—
1016#399—471no—
1017#399—471no—
1018#398—471no—
1019#397—471no—
1020#397—471no—
1021#397—471no—
1022#396—471no—
1023#396—471no—
1024#396—471no—
1025#396—471no—
1026#394—471no—
1027#394—471no—
1028#394—471no—
1029#394—471no—
1030#394—471no—
1031#394—471no—
1032#394—471no—
1033#394—471no—
1034#394—471no—
1035#393—471no—
1036#393—471no—
1037#392—471no—
1038#392—471no—
1039#392—471no—
1040#392—471no—
1041#392—471no—
1042#392—471no—
1043#392—471no—
1044#392—471no—
1045#392—471no—
1046#391—471no—
1047#390—471no—
1048#390—471no—
1049#390—471no—
1050#388—471no—
1051#388—471no—
1052#388—471no—
1053#388—471no—
1054#388—471no—
1055#388—471no—
1056#388—471no—
1057#388—471no—
1058#388—471no—
1059#388—471no—
1060#388C2×D4711yescharacteristic, complemented
1061#388C2×D4711yescharacteristic, complemented
1062#387—471no—
1063#387—471no—
1064#387—471no—
1065#387—471no—
1066#387C2×D4711yescharacteristic, complemented
1067#387C2×D4711yescharacteristic, complemented
1068#386—471no—
1069#386—471no—
1070#386—471no—
1071#386—471no—
1072#386—471no—
1073#386—471no—
1074#386—471no—
1075#386—471no—
1076#386—471no—
1077#386—471no—
1078#386—471no—
1079#386—471no—
1080#386—471no—
1081#386—471no—
1082#386—471no—
1083#386—471no—
1084#386—471no—
1085#386—471no—
1086#386—471no—
1087#386—471no—
1088#386—471no—
1089#386—471no—
1090#386—471no—
1091#386—471no—
1092#386—471no—
1093#386—471no—
1094#386C2×D4711yescharacteristic
1095#386C2×D4711yescharacteristic
1096#385—471no—
1097#385—471no—
1098#385—471no—
1099#385—471no—
1100#385—471no—
1101#385—471no—
1102#385—471no—
1103#385—471no—
1104#385—471no—
1105#385—471no—
1106#385C2×D4711yescharacteristic, complemented
1107#385C2×D4711yescharacteristic, complemented
1108#383C2×D4711yescharacteristic, complemented
1109#382C2×D4711yescharacteristic, complemented
1110#381—471no—
1111#381C2×D4711yescharacteristic, complemented
1112#380—471no—
1113#380—471no—
1114#380—471no—
1115#380C2×D4711yescharacteristic, complemented
1116#379—471no—
1117#379—471no—
1118#379—471no—
1119C4×C22⋊C4—471no—
1120C4×C22⋊C4—471no—
1121C4×C22⋊C4C2×D4711yescharacteristic, complemented
1122C2×#95—471no—
1123C2×#95C2×D4711yescharacteristic, complemented
1124C47#3499011yescharacteristic, complemented, Sylow
1125C25—471no—
1126C25—471no—
1127C25—471no—
1128C22×Q8—471no—
1129C22×D4—471no—
1130C22×D4—471no—
1131C22×D4—471no—
1132C22×D4—471no—
1133C22×D4—471no—
1134C22×D4—471no—
1135C22×D4—471no—
1136C22×D4—471no—
1137C22×D4—471no—
1138C22×D4—471no—
1139C22×D4—471no—
1140C22×D4—471no—
1141C22×D4—471no—
1142C22×D4—471no—
1143C22×D4—471no—
1144C22×D4—471no—
1145C22×D4—471no—
1146C22×D4—471no—
1147C22×D4—944no—
1148C22×D4—944no—
1149C22×D4—944no—
1150C22×D4—944no—
1151C22×D4—1882no—
1152C22×D4—1882no—
1153C22×D4C22×D4711yescharacteristic
1154C23×C4—471no—
1155C23×C4—471no—
1156C23×C4—471no—
1157C23×C4—471no—
1158C23×C4—471no—
1159C23×C4—471no—
1160C23×C4—471no—
1161C23×C4—471no—
1162C23×C4—471no—
1163C23×C4—471no—
1164C23×C4—471no—
1165C23×C4—471no—
1166C23×C4—471no—
1167C23×C4—944no—
1168C23×C4—944no—
1169C23×C4—1882no—
1170C23×C4—1882no—
1171C23×C4—1882no—
1172C23×C4—1882no—
1173C23×C4C22×D4711yescharacteristic
1174C23×C4C22×D4711yescharacteristic
1175C23×C4C22×D4711yescharacteristic
1176C23×C4C22×D4711yescharacteristic
1177#126—944no—
1178#126—944no—
1179#124—944no—
1180#124—944no—
1181#123—944no—
1182#123—944no—
1183#123—1882no—
1184C22⋊Q8—944no—
1185C22⋊Q8—1882no—
1186#121—944no—
1187#121—944no—
1188#121—944no—
1189#121—944no—
1190#121—1882no—
1191#121—1882no—
1192#121—1882no—
1193#120—944no—
1194#120—944no—
1195#120—944no—
1196#120—944no—
1197#120—1882no—
1198#120—1882no—
1199#120—1882no—
1200C4×D4—944no—
1201C4×D4—944no—
1202C4×D4—944no—
1203C4×D4—944no—
1204C4×D4—944no—
1205C4×D4—944no—
1206C4×D4—944no—
1207C4×D4—944no—
1208C4×D4—1882no—
1209C4×D4—1882no—
1210C4×D4D18818yescomplemented
1211C2×C4⋊C4—471no—
1212C2×C4⋊C4—471no—
1213C2×C4⋊C4—471no—
1214C2×C4⋊C4—471no—
1215C2×C4⋊C4—471no—
1216C2×C4⋊C4—471no—
1217C2×C4⋊C4—471no—
1218C2×C4⋊C4—471no—
1219C2×C4⋊C4—471no—
1220C2×C4⋊C4—471no—
1221C2×C4⋊C4—471no—
1222C2×C4⋊C4—471no—
1223C2×C4⋊C4—471no—
1224C2×C4⋊C4—471no—
1225C2×C4⋊C4—471no—
1226C2×C4⋊C4—944no—
1227C2×C4⋊C4C22×D4711yescharacteristic
1228C2×C4⋊C4C22×D4711yescharacteristic
1229C2×C4⋊C4C22×D4711yescharacteristic
1230C2×C4⋊C4C22×D4711yescharacteristic
1231C2×C4⋊C4C22×D4711yescharacteristic
1232C2×C22⋊C4—471no—
1233C2×C22⋊C4—471no—
1234C2×C22⋊C4—471no—
1235C2×C22⋊C4—471no—
1236C2×C22⋊C4—471no—
1237C2×C22⋊C4—471no—
1238C2×C22⋊C4—471no—
1239C2×C22⋊C4—471no—
1240C2×C22⋊C4—471no—
1241C2×C22⋊C4—471no—
1242C2×C22⋊C4—471no—
1243C2×C22⋊C4—471no—
1244C2×C22⋊C4—471no—
1245C2×C22⋊C4—471no—
1246C2×C22⋊C4—471no—
1247C2×C22⋊C4—471no—
1248C2×C22⋊C4—471no—
1249C2×C22⋊C4—471no—
1250C2×C22⋊C4—471no—
1251C2×C22⋊C4—471no—
1252C2×C22⋊C4—471no—
1253C2×C22⋊C4—471no—
1254C2×C22⋊C4—471no—
1255C2×C22⋊C4—471no—
1256C2×C22⋊C4—471no—
1257C2×C22⋊C4—471no—
1258C2×C22⋊C4—471no—
1259C2×C22⋊C4—471no—
1260C2×C22⋊C4—471no—
1261C2×C22⋊C4—471no—
1262C2×C22⋊C4—471no—
1263C2×C22⋊C4—471no—
1264C2×C22⋊C4—471no—
1265C2×C22⋊C4—471no—
1266C2×C22⋊C4—471no—
1267C2×C22⋊C4—471no—
1268C2×C22⋊C4—471no—
1269C2×C22⋊C4—471no—
1270C2×C22⋊C4—471no—
1271C2×C22⋊C4—471no—
1272C2×C22⋊C4—471no—
1273C2×C22⋊C4—471no—
1274C2×C22⋊C4—471no—
1275C2×C22⋊C4—471no—
1276C2×C22⋊C4—471no—
1277C2×C22⋊C4—471no—
1278C2×C22⋊C4—471no—
1279C2×C22⋊C4—471no—
1280C2×C22⋊C4—944no—
1281C2×C22⋊C4—944no—
1282C2×C22⋊C4—944no—
1283C2×C22⋊C4—1882no—
1284C2×C22⋊C4—1882no—
1285C2×C22⋊C4C22×D4711yescharacteristic
1286C2×C22⋊C4C22×D4711yescharacteristic
1287C2×C22⋊C4C22×D4711yescharacteristic
1288C2×C22⋊C4C22×D4711yescharacteristic
1289C2×C22⋊C4C22×D4711yescharacteristic
1290C2×C22⋊C4C22×D4711yescharacteristic
1291C2×C22⋊C4C22×D4711yescharacteristic
1292C2×C22⋊C4C22×D4711yescharacteristic
1293C2×C42—471no—
1294C2×C42—471no—
1295C2×C42—471no—
1296C2×C42—471no—
1297C2×C42—944no—
1298C2×C42C22×D4711yescharacteristic
1299C2×C42C22×D4711yescharacteristic
1300C2×C42C22×D4711yescharacteristic
1301#95—471no—
1302#95—471no—
1303#95—471no—
1304#95—471no—
1305#95—471no—
1306#95—471no—
1307#95—471no—
1308#95—471no—
1309#95—471no—
1310#95—471no—
1311#95—471no—
1312#95—471no—
1313#95—471no—
1314#95—471no—
1315#95—471no—
1316#95—471no—
1317#95—471no—
1318#95—471no—
1319#95C22×D4711yescharacteristic
1320#95C22×D4711yescharacteristic
1321#95C22×D4711yescharacteristic
1322#95C22×D4711yescharacteristic
1323#95C22×D4711yescharacteristic
1324#95C22×D4711yescharacteristic
1325#95C22×D4711yescharacteristic
1326#95C22×D4711yescharacteristic
1327#95C22×D4711yescharacteristic
1328#95C22×D4711yescharacteristic
1329#95C22×D4711yescharacteristic
1330#95C22×D4711yescharacteristic
1331#95C22×D4711yescharacteristic
1332#95C22×D4711yescharacteristic
1333C24—471no—
1334C24—471no—
1335C24—471no—
1336C24—474no—
1337C24—471no—
1338C24—471no—
1339C24—471no—
1340C24—942no—
1341C24—942no—
1342C24—942no—
1343C24—942no—
1344C24—942no—
1345C24—942no—
1346C24—942no—
1347C24—942no—
1348C24—942no—
1349C24—942no—
1350C24—942no—
1351C24—942no—
1352C24—1881no—
1353C24—1881no—
1354C24—1881no—
1355C24—1881no—
1356C24—1881no—
1357C24—1881no—
1358C24—1881no—
1359C24—1881no—
1360C24C23×D4711yescharacteristic
1361C24C23×D4711yescharacteristic
1362C2×Q8—942no—
1363C2×Q8—1881no—
1364C2×Q8—1881no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—474no—
1368C2×D4—942no—
1369C2×D4—942no—
1370C2×D4—942no—
1371C2×D4—942no—
1372C2×D4—942no—
1373C2×D4—942no—
1374C2×D4—942no—
1375C2×D4—942no—
1376C2×D4—942no—
1377C2×D4—942no—
1378C2×D4—942no—
1379C2×D4—942no—
1380C2×D4—942no—
1381C2×D4—942no—
1382C2×D4—942no—
1383C2×D4—942no—
1384C2×D4—942no—
1385C2×D4—942no—
1386C2×D4—9432no—
1387C2×D4—942no—
1388C2×D4—942no—
1389C2×D4—942no—
1390C2×D4—942no—
1391C2×D4—942no—
1392C2×D4—942no—
1393C2×D4—942no—
1394C2×D4—942no—
1395C2×D4—942no—
1396C2×D4—942no—
1397C2×D4—942no—
1398C2×D4—942no—
1399C2×D4—942no—
1400C2×D4—1881no—
1401C2×D4—1881no—
1402C2×D4—1881no—
1403C2×D4—1881no—
1404C2×D4—1881no—
1405C2×D4—1881no—
1406C2×D4—1881no—
1407C2×D4—1881no—
1408C2×D4—1881no—
1409C2×D4—1881no—
1410C2×D4—1881no—
1411C2×D4—1881no—
1412C2×D4—1881no—
1413C2×D4—1881no—
1414C2×D4—1881no—
1415C2×D4—1881no—
1416C2×D4—18816no—
1417C2×D4—1881no—
1418C2×D4—1881no—
1419C2×D4—1881no—
1420C2×D4—1881no—
1421C2×D4—1881no—
1422C2×D4—1881no—
1423C2×D4C2×D18814yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—471no—
1435C22×C4—471no—
1436C22×C4—471no—
1437C22×C4—471no—
1438C22×C4—471no—
1439C22×C4—471no—
1440C22×C4—471no—
1441C22×C4—471no—
1442C22×C4—471no—
1443C22×C4—471no—
1444C22×C4—942no—
1445C22×C4—942no—
1446C22×C4—942no—
1447C22×C4—942no—
1448C22×C4—942no—
1449C22×C4—942no—
1450C22×C4—942no—
1451C22×C4—942no—
1452C22×C4—942no—
1453C22×C4—942no—
1454C22×C4—942no—
1455C22×C4—942no—
1456C22×C4—942no—
1457C22×C4—942no—
1458C22×C4—942no—
1459C22×C4—942no—
1460C22×C4—942no—
1461C22×C4—942no—
1462C22×C4—942no—
1463C22×C4—942no—
1464C22×C4—942no—
1465C22×C4—942no—
1466C22×C4—942no—
1467C22×C4—942no—
1468C22×C4—1881no—
1469C22×C4—1881no—
1470C22×C4—1881no—
1471C22×C4—1881no—
1472C22×C4—1881no—
1473C22×C4—1881no—
1474C22×C4—1881no—
1475C22×C4—1881no—
1476C22×C4—1881no—
1477C22×C4—1881no—
1478C22×C4—1881no—
1479C22×C4—18816no—
1480C22×C4—18816no—
1481C22×C4—1881no—
1482C22×C4—1881no—
1483C22×C4—1881no—
1484C22×C4—1881no—
1485C22×C4C2×D18814yes—
1486C22×C4C2×D18814yescomplemented
1487C22×C4C23×D4711yescharacteristic
1488C22×C4C23×D4711yescharacteristic
1489C22×C4C23×D4711yescharacteristic
1490C22×C4C23×D4711yescharacteristic
1491C22×C4C23×D4711yescharacteristic
1492C22×C4C23×D4711yescharacteristic
1493C22×C4C23×D4711yescharacteristic
1494C22×C4C23×D4711yescharacteristic
1495C22×C4C23×D4711yescharacteristic
1496C22×C4C23×D4711yescharacteristic
1497C22×C4C23×D4711yescharacteristic
1498C22×C4C23×D4711yescharacteristic
1499C22×C4C23×D4711yescharacteristic
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—942no—
1505C4⋊C4—942no—
1506C4⋊C4—942no—
1507C4⋊C4—942no—
1508C4⋊C4—942no—
1509C4⋊C4—942no—
1510C4⋊C4—942no—
1511C4⋊C4—942no—
1512C4⋊C4—942no—
1513C4⋊C4—942no—
1514C4⋊C4—1881no—
1515C4⋊C4—1881no—
1516C4⋊C4—1881no—
1517C4⋊C4—1881no—
1518C4⋊C4—1881no—
1519C4⋊C4C2×D18814yescomplemented
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—942no—
1527C22⋊C4—942no—
1528C22⋊C4—942no—
1529C22⋊C4—942no—
1530C22⋊C4—942no—
1531C22⋊C4—942no—
1532C22⋊C4—942no—
1533C22⋊C4—942no—
1534C22⋊C4—942no—
1535C22⋊C4—942no—
1536C22⋊C4—942no—
1537C22⋊C4—942no—
1538C22⋊C4—942no—
1539C22⋊C4—942no—
1540C22⋊C4—942no—
1541C22⋊C4—942no—
1542C22⋊C4—942no—
1543C22⋊C4—942no—
1544C22⋊C4—942no—
1545C22⋊C4—942no—
1546C22⋊C4—942no—
1547C22⋊C4—942no—
1548C22⋊C4—942no—
1549C22⋊C4—942no—
1550C22⋊C4—942no—
1551C22⋊C4—942no—
1552C22⋊C4—942no—
1553C22⋊C4—942no—
1554C22⋊C4—942no—
1555C22⋊C4—942no—
1556C22⋊C4—942no—
1557C22⋊C4—1881no—
1558C22⋊C4—1881no—
1559C22⋊C4—1881no—
1560C22⋊C4—1881no—
1561C22⋊C4—1881no—
1562C22⋊C4—1881no—
1563C22⋊C4—1881no—
1564C22⋊C4—1881no—
1565C22⋊C4—1881no—
1566C22⋊C4—1881no—
1567C22⋊C4—1881no—
1568C22⋊C4—1881no—
1569C22⋊C4—1881no—
1570C22⋊C4—1881no—
1571C22⋊C4—1881no—
1572C22⋊C4—1881no—
1573C22⋊C4—1881no—
1574C22⋊C4C2×D18814yes—
1575C22⋊C4C2×D18814yescomplemented
1576C42—41no—
1577C42—41no—
1578C42—942no—
1579C42—942no—
1580C42—942no—
1581C42—942no—
1582C42C2×D18814yescomplemented
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—472no—
1594C23—472no—
1595C23—472no—
1596C23—472no—
1597C23—472no—
1598C23—948no—
1599C23—948no—
1600C23—941no—
1601C23—941no—
1602C23—941no—
1603C23—941no—
1604C23—948no—
1605C23—941no—
1606C23—941no—
1607C23—941no—
1608C23—941no—
1609C23—941no—
1610C23—941no—
1611C23—941no—
1612C23—941no—
1613C23—941no—
1614C23—941no—
1615C23—941no—
1616C23—941no—
1617C23—941no—
1618C23—941no—
1619C23—941no—
1620C23—941no—
1621C23—941no—
1622C23—941no—
1623C23—941no—
1624C23—941no—
1625C23—941no—
1626C23—941no—
1627C23—941no—
1628C23—941no—
1629C23—941no—
1630C23—941no—
1631C23—941no—
1632C23—941no—
1633C23—941no—
1634C23—941no—
1635C23—941no—
1636C23—941no—
1637C23—941no—
1638C23—3762no—
1639C23—3762no—
1640C23—3762no—
1641C23—3762no—
1642C23—1884no—
1643C23—1884no—
1644C23—1884no—
1645C23—1884no—
1646C23—1884no—
1647C23—1884no—
1648C23—1884no—
1649C23—1884no—
1650C23—1884no—
1651C23—1884no—
1652C23—1884no—
1653C23—1884no—
1654C23—1884no—
1655C23—1884no—
1656C23C22×D18812yes—
1657C23C22×D18812yes—
1658C23#41×D4712yes—
1659C23#41×D4712yes—
1660C23C24×D4711yescharacteristic
1661Q8—3762no—
1662D4—28no—
1663D4—948no—
1664D4—948no—
1665D4—948no—
1666D4—3762no—
1667D4—3762no—
1668D4—3762no—
1669D4—3762no—
1670D4—3762no—
1671D4—3762no—
1672D4—3762no—
1673D4—3762no—
1674D4—1884no—
1675D4—1884no—
1676D4—1884no—
1677D4—1884no—
1678D4—1884no—
1679D4—1884no—
1680D4—1884no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—82no—
1719C2×C4—472no—
1720C2×C4—472no—
1721C2×C4—948no—
1722C2×C4—948no—
1723C2×C4—941no—
1724C2×C4—941no—
1725C2×C4—941no—
1726C2×C4—941no—
1727C2×C4—941no—
1728C2×C4—941no—
1729C2×C4—941no—
1730C2×C4—941no—
1731C2×C4—941no—
1732C2×C4—941no—
1733C2×C4—941no—
1734C2×C4—941no—
1735C2×C4—941no—
1736C2×C4—941no—
1737C2×C4—941no—
1738C2×C4—941no—
1739C2×C4—941no—
1740C2×C4—941no—
1741C2×C4—941no—
1742C2×C4—941no—
1743C2×C4—941no—
1744C2×C4—941no—
1745C2×C4—941no—
1746C2×C4—941no—
1747C2×C4—941no—
1748C2×C4—941no—
1749C2×C4—941no—
1750C2×C4—941no—
1751C2×C4—3762no—
1752C2×C4—3762no—
1753C2×C4—1884no—
1754C2×C4—1884no—
1755C2×C4—1884no—
1756C2×C4—1884no—
1757C2×C4—1884no—
1758C2×C4—1884no—
1759C2×C4—1884no—
1760C2×C4—1884no—
1761C2×C4—1884no—
1762C2×C4C22×D18812yes—
1763C2×C4C22×D18812yes—
1764C2×C4C22×D18812yes—
1765C2×C4C22×D18812yes—
1766C2×C4C22×D18812yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—474no—
1781C22—942no—
1782C22—942no—
1783C22—942no—
1784C22—942no—
1785C22—942no—
1786C22—942no—
1787C22—942no—
1788C22—942no—
1789C22—942no—
1790C22—942no—
1791C22—942no—
1792C22—942no—
1793C22—3768no—
1794C22—18816no—
1795C22—18816no—
1796C22—1881no—
1797C22—1881no—
1798C22—1881no—
1799C22—1881no—
1800C22—1881no—
1801C22—1881no—
1802C22—1881no—
1803C22—1881no—
1804C22—1881no—
1805C22—1881no—
1806C22—1881no—
1807C22—1881no—
1808C22—1881no—
1809C22—1881no—
1810C22—1881no—
1811C22—1881no—
1812C22—1881no—
1813C22—1881no—
1814C22—1881no—
1815C22—1881no—
1816C22—1881no—
1817C22—1881no—
1818C22—1881no—
1819C22—1881no—
1820C22—1881no—
1821C22—1881no—
1822C22—1881no—
1823C22—1881no—
1824C22—1881no—
1825C22#1568963514yes—
1826C22C23×D18811yescharacteristic
1827C22C2×#41×D4711yescharacteristic
1828C22C2×#41×D4711yescharacteristic
1829C22H(5,𝔽2)×D4711yescharacteristic
1830C22H(5,𝔽2)×D4711yescharacteristic
1831C22H(5,𝔽2)×D4711yescharacteristic
1832C22#1568996011yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—942no—
1847C4—942no—
1848C4—1881no—
1849C4—1881no—
1850C4—1881no—
1851C4—1881no—
1852C4—1881no—
1853C4—1881no—
1854C4—1881no—
1855C4—1881no—
1856C2—24no—
1857C2—42no—
1858C2—944no—
1859C2—3761no—
1860C2—3761no—
1861C2—3761no—
1862C2—1882no—
1863C2—1882no—
1864C2C2×#1568963511yescharacteristic
1865C2#538×D4711yescharacteristic
1866C2#2025679611yescharacteristic
1867C2#2025702411yescharacteristic
1868C2#2025705811yescharacteristic
1869C2#2025731811yescharacteristic
1870C2#2025741211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2318C2
hypercenter#2318D47
hypocenterC47#34990
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
1. C2×#15689706C2semidirect
2. C2×C4×D4×D47C2semidirect
3. #20251704C2semidirect
4. #20251690C2semidirect
5. #20251681C2semidirect
6. #20251671C2semidirect
7. #20249287C2semidirect
8. #20249275C2semidirect
9. #20249243C2semidirect
10. #20249229C2semidirect
11. #20247647C2semidirect
12. #20247512C2semidirect
13. #20247437C2semidirect
14. #20247323C2semidirect
15. #20247278C2semidirect
16. #20247277C2semidirect
17. #20247210C2semidirect
18. #20247136C2semidirect
19. #20247128C2semidirect
20. #20247052C2semidirect
21. #20246929C2semidirect
22. #20246922C2semidirect
23. #20246848C2semidirect
24. #20246761C2semidirect
25. #20246760C2semidirect
26. #20246700C2semidirect
27. #20246091C2semidirect
28. #20246048C2semidirect
29. C4×#13093994C2semidirect
30. C2×#15689001C2semidirect
31. C47×#2318C2semidirect
35. C23×C4×D47C22semidirect
37. C2×#13094019C22semidirect
38. C2×#13094018C22semidirect
39. C2×#13094012C22semidirect
40. C2×#13094010C22semidirect
41. C2×#13094009C22semidirect
42. C2×#13094008C22semidirect
43. C2×#13094007C22semidirect
44. C2×#13094004C22semidirect
45. C2×#13094001C22semidirect
48. C2×#13093999C22semidirect
50. C2×#13093998C22semidirect
51. C2×#13093997C22semidirect
57. C2×#13093994C22semidirect
58. C2×#13093994C22semidirect
60. C2×C4×D188C22semidirect
61. C2×C4×D188C22semidirect
62. C2×C4×D188C22semidirect
64. C2×#13093986C22semidirect
66. C2×C4×C22⋊D47C22semidirect
67. C2×C4×C22⋊D47C22semidirect
69. C2×(C22⋊D47)⋊C4C22semidirect
71. C2×C4⋊C4×D47C22semidirect
73. C22×(C2×D47)⋊C4C22semidirect
74. C22×(C2×D47)⋊C4C22semidirect
76. C2×C22⋊C4×D47C22semidirect
77. C2×C42×D47C22semidirect
78. #15689063C22semidirect
79. #15689063C22semidirect
80. #15689060C22semidirect
81. #15689060C22semidirect
82. #15689053C22semidirect
83. #15689050C22semidirect
84. #15689050C22semidirect
85. #15689048C22semidirect
86. #15689045C22semidirect
87. #15689045C22semidirect
88. #15689045C22semidirect
89. #15689045C22semidirect
90. #15689041C22semidirect
91. #15689041C22semidirect
92. #15689040C22semidirect
93. #15689040C22semidirect
94. #15689040C22semidirect
95. #15689039C22semidirect
96. #15689039C22semidirect
97. #15689039C22semidirect
98. #15689039C22semidirect
99. #15689036C22semidirect
100. #15689036C22semidirect
103. #15689033C22semidirect
104. #15689033C22semidirect
105. #15689033C22semidirect
106. #15689033C22semidirect
109. #15689032C22semidirect
110. #15689028C22semidirect
111. #15689025C22semidirect
112. #15689025C22semidirect
113. #15689024C22semidirect
114. #15689015C22semidirect
115. #15689015C22semidirect
116. #15689015C22semidirect
117. #15689015C22semidirect
118. #15689015C22semidirect
119. #15689015C22semidirect
120. #15689015C22semidirect
121. #15689015C22semidirect
122. #15689014C22semidirect
123. #15689014C22semidirect
124. #15689008C22semidirect
125. #15689008C22semidirect
126. #15689008C22semidirect
127. #15689008C22semidirect
129. #15689002C22semidirect
138. #15689001C22semidirect
139. #15689001C22semidirect
140. #15689001C22semidirect
141. #15689001C22semidirect
142. #15689001C22semidirect
143. #15689001C22semidirect
144. #15689001C22semidirect
145. #15689001C22semidirect
146. #15689001C22semidirect
147. #15689001C22semidirect
148. #15689001C22semidirect
149. #15689001C22semidirect
151. #15689000C22semidirect
152. #15689000C22semidirect
153. #15689000C22semidirect
154. #15688998C22semidirect
155. #15688998C22semidirect
156. #15688997C22semidirect
157. #15688997C22semidirect
158. #15688997C22semidirect
159. #15688997C22semidirect
160. #15688997C22semidirect
161. #15688997C22semidirect
162. #15688997C22semidirect
163. #15688997C22semidirect
164. #15688984C22semidirect
165. #15688983C22semidirect
166. #15688980C22semidirect
167. #15688980C22semidirect
169. #15688978C22semidirect
170. #15688978C22semidirect
171. C4×(C2×D47)⋊C4C22semidirect
172. C4×(C2×D47)⋊C4C22semidirect
173. C2×C47⋊#95C22semidirect
175. C47×#388C22semidirect
176. C47×#388C22semidirect
177. C47×#387C22semidirect
178. C47×#387C22semidirect
181. C47×#385C22semidirect
182. C47×#385C22semidirect
183. C47×#383C22semidirect
184. C47×#382C22semidirect
185. C47×#381C22semidirect
186. C47×#380C22semidirect
187. C4×C22⋊C4×C47C22semidirect
188. C2×#95×C47C22semidirect
366. C4×D4×C47D4semidirect
440. C22×C4×C47C2×D4semidirect
568. C4⋊C4×C47C2×D4semidirect
576. C22⋊C4×C47C2×D4semidirect
579. C42×C47C2×D4semidirect
897. C2×D47#538semidirect
949. #2318D47semidirect
1060. #388C2×D47semidirect
1061. #388C2×D47semidirect
1066. #387C2×D47semidirect
1067. #387C2×D47semidirect
1106. #385C2×D47semidirect
1107. #385C2×D47semidirect
1108. #383C2×D47semidirect
1109. #382C2×D47semidirect
1111. #381C2×D47semidirect
1115. #380C2×D47semidirect
1121. C4×C22⋊C4C2×D47semidirect
1123. C2×#95C2×D47semidirect
1124. C47#34990semidirect
1210. C4×D4D188semidirect
1486. C22×C4C2×D188semidirect
1519. C4⋊C4C2×D188semidirect
1575. C22⋊C4C2×D188semidirect
1582. C42C2×D188semidirect

Maximal subgroups

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

subgroupindex
C2×#156897062
C2×C4×D4×D472
#202517042
#202516902
#202516812
#202516712
#202492872
#202492752
#202492432
#202492292
#202476472
#202475122
#202474372
#202473232
#202472782
#202472772
#202472102
#202471362
#202471282
#202470522
#202469292
#202469222
#202468482
#202467612
#202467602
#202467002
#202460912
#202460482
C4×#130939942
C2×#156890012
C47×#23182
#3499047