Finite Group Databasebeta

← #26379973

Subgroups — #26379973

Order 12032.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689706C211yesmaximal, characteristic
2#20246561C211yesmaximal, characteristic, complemented
3#20246559C211yesmaximal, characteristic, complemented
4#20246533C211yesmaximal, characteristic, complemented
5#20246532C211yesmaximal, characteristic, complemented
6#20246459C211yesmaximal, characteristic, complemented
7#20246456C211yesmaximal, characteristic, complemented
8#20246376C211yesmaximal, characteristic, complemented
9#20246375C211yesmaximal, characteristic, complemented
10#20246365C211yesmaximal, characteristic, complemented
11#20246365C211yesmaximal, characteristic, complemented
12#20246364C211yesmaximal, characteristic, complemented
13#20246364C211yesmaximal, characteristic, complemented
14#20246319C211yesmaximal, characteristic, complemented
15#20246317C211yesmaximal, characteristic, complemented
16#20246295C211yesmaximal, characteristic, complemented
17#20246163C211yesmaximal, characteristic, complemented
18#20246162C211yesmaximal, characteristic, complemented
19#20246159C211yesmaximal, characteristic, complemented
20#20246156C211yesmaximal, characteristic, complemented
21#20246119C211yesmaximal, characteristic, complemented
22#20246091C211yesmaximal, characteristic, complemented
23#20246086C211yesmaximal, characteristic, complemented
24#20246085C211yesmaximal, characteristic, complemented
25#20246080C211yesmaximal, characteristic, complemented
26#20246077C211yesmaximal, characteristic, complemented
27#20246001C211yesmaximal, characteristic, complemented
28#20245920C211yesmaximal, characteristic, complemented
29C4×#13093996C211yesmaximal, characteristic, complemented
30C2×#15689015C211yesmaximal, characteristic, complemented
31C47×#2349C211yesmaximal, characteristic, complemented
32#15689706C4116yescomplemented
33C2×#13094019C2211yescharacteristic
34C2×#13094018C2211yescharacteristic
35C2×#13094012C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094007C2211yescharacteristic
39C2×#13094001C2211yescharacteristic
40C2×#13093998C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093996C2211yescharacteristic
43C2×#13093994C2211yescharacteristic
44C2×#13093992C2211yescharacteristic
45C2×#13093989C2211yescharacteristic, complemented
46C2×#13093986C2211yescharacteristic
47C2×#13093986C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×C4×C22⋊D47C2211yescharacteristic
51C2×C4×C22⋊D47C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic
53C2×C4×C22⋊D47C2211yescharacteristic, complemented
54C2×#13093983C2211yescharacteristic, complemented
55C2×#13093982C2211yescharacteristic, complemented
56C22×C4⋊Dic47C2211yescharacteristic
57C22×(C2×D47)⋊C4C2211yescharacteristic
58C22×(C2×D47)⋊C4C2211yescharacteristic
59C22×(C2×D47)⋊C4C2211yescharacteristic
60C2×C22⋊C4×D47C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C22×C4×Dic47C2211yescharacteristic
63#15689028C2211yescharacteristic, complemented
64#15689027C2211yescharacteristic, complemented
65#15689027C2211yescharacteristic, complemented
66#15689024C2211yescharacteristic
67#15689024C2211yescharacteristic
68#15689023C2211yescharacteristic
69#15689023C2211yescharacteristic
70#15689023C2211yescharacteristic, complemented
71#15689020C2211yescharacteristic, complemented
72#15689020C2211yescharacteristic, complemented
73#15689019C2211yescharacteristic, complemented
74#15689018C2211yescharacteristic, complemented
75#15689018C2211yescharacteristic, complemented
76#15689018C2211yescharacteristic, complemented
77#15689017C2211yescharacteristic, complemented
78#15689016C2211yescharacteristic, complemented
79#15689016C2211yescharacteristic, complemented
80#15689015C2211yescharacteristic
81#15689015C2211yescharacteristic
82#15689015C2211yescharacteristic
83#15689015C2211yescharacteristic
84#15689015C2211yescharacteristic
85#15689015C2211yescharacteristic
86#15689015C2211yescharacteristic
87#15689015C2211yescharacteristic
88#15689015C2211yescharacteristic, complemented
89#15689015C2211yescharacteristic, complemented
90#15689014C2211yescharacteristic
91#15689014C2211yescharacteristic
92#15689014C2211yescharacteristic, complemented
93#15689013C2211yescharacteristic
94#15689013C2211yescharacteristic
95#15689013C2211yescharacteristic
96#15689013C2211yescharacteristic
97#15689013C2211yescharacteristic, complemented
98#15689012C2211yescharacteristic
99#15689012C2211yescharacteristic
100#15689011C2211yescharacteristic, complemented
101#15689010C2211yescharacteristic, complemented
102#15689010C2211yescharacteristic, complemented
103#15689009C2211yescharacteristic, complemented
104#15689009C2211yescharacteristic, complemented
105#15689008C2211yescharacteristic, complemented
106#15689008C2211yescharacteristic, complemented
107#15689007C2211yescharacteristic, complemented
108#15689005C2211yescharacteristic, complemented
109#15689005C2211yescharacteristic, complemented
110#15689004C2211yescharacteristic, complemented
111#15689004C2211yescharacteristic, complemented
112#15689004C2211yescharacteristic, complemented
113#15689003C2211yescharacteristic
114#15689003C2211yescharacteristic
115#15689002C2211yescharacteristic
116#15689002C2211yescharacteristic
117#15689002C2211yescharacteristic, complemented
118#15689001C2211yescharacteristic
119#15689001C2211yescharacteristic
120#15689001C2211yescharacteristic
121#15689001C2211yescharacteristic
122#15689000C2211yescharacteristic
123#15689000C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688999C2211yescharacteristic, complemented
127#15688997C2211yescharacteristic
128#15688997C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic
131#15688997C2211yescharacteristic, complemented
132#15688997C2211yescharacteristic, complemented
133#15688996C2211yescharacteristic
134#15688996C2211yescharacteristic
135#15688996C2211yescharacteristic, complemented
136#15688994C2211yescharacteristic
137#15688994C2211yescharacteristic
138#15688994C2211yescharacteristic
139#15688994C2211yescharacteristic
140#15688994C2211yescharacteristic
141#15688994C2211yescharacteristic
142#15688994C2211yescharacteristic
143#15688994C2211yescharacteristic
144#15688994C2211yescharacteristic, complemented
145#15688989C2211yescharacteristic, complemented
146#15688988C2211yescharacteristic, complemented
147#15688987C2211yescharacteristic, complemented
148#15688983C2211yescharacteristic
149#15688983C2211yescharacteristic, complemented
150#15688982C2211yescharacteristic, complemented
151#15688981C2211yescharacteristic
152#15688981C2211yescharacteristic
153#15688980C2211yescharacteristic, complemented
154C4⋊C4×Dic47C2211yescharacteristic, complemented
155C4⋊C4×Dic47C2211yescharacteristic, complemented
156C4×Dic47⋊C4C2211yescharacteristic, complemented
157C4×C4⋊Dic47C2211yescharacteristic, complemented
158#15688974C2211yescharacteristic, complemented
159#15688974C2211yescharacteristic, complemented
160#15688974C2211yescharacteristic, complemented
161C22⋊C4×Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C22⋊C4×Dic47C2211yescharacteristic
165C4×(C2×D47)⋊C4C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
168C4×C22⋊Dic47C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic
170#15688970C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172#95×D47C2211yescharacteristic, complemented
173C2×C4×D4×C47C2211yescharacteristic
174C2×C4×D4×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C47×#389C2211yescharacteristic, complemented
177C47×#389C2211yescharacteristic, complemented
178C47×#385C2211yescharacteristic
179C47×#385C2211yescharacteristic
180C47×#385C2211yescharacteristic, complemented
181C47×#385C2211yescharacteristic, complemented
182C47×#382C2211yescharacteristic, complemented
183C47×#380C2211yescharacteristic
184C47×#380C2211yescharacteristic, complemented
185C4×C4⋊C4×C47C2211yescharacteristic, complemented
186C2×#95×C47C2211yescharacteristic
187C2×#95×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206#13094019C2×C418yescomplemented
207#13094018C2×C418yescomplemented
208#13094012C2×C418yescomplemented
209#13094010C2×C418yescomplemented
210#13094009C2×C418yescomplemented
211#13094007C2×C418yescomplemented
212#13094001C2×C418yescomplemented
213#13093998C2×C418yescomplemented
214#13093997C2×C418yescomplemented
215#13093996C2×C418yescomplemented
216#13093994C2×C418yescomplemented
217#13093992C2×C418yescomplemented
218#13093989—42no—
219#13093986—42no—
220#13093986—42no—
221C4×C22⋊D47—42no—
222C4×C22⋊D47—42no—
223C4×C22⋊D47—42no—
224C4×C22⋊D47—42no—
225C4×C22⋊D47—42no—
226C4×C22⋊D47C2×C418yescomplemented
227#13093983—42no—
228#13093982—42no—
229C2×C4⋊Dic47—42no—
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×(C2×D47)⋊C4—42no—
260C2×(C2×D47)⋊C4—42no—
261C2×(C2×D47)⋊C4C2×C418yescomplemented
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C22⋊C4×D47—42no—
291C22⋊C4×D47—42no—
292C2×C4×Dic47—42no—
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C22×D4×C47C2311yescharacteristic
339C23×C4×C47C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344C23×C4×C47C2311yescharacteristic
345C4×D4×C47—42no—
346C4×D4×C47—42no—
347C4×D4×C47C2×C418yescomplemented
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C4⋊C4×C47C2311yescharacteristic
351C2×C4⋊C4×C47C2311yescharacteristic
352C2×C4⋊C4×C47C2311yescharacteristic
353C2×C4⋊C4×C47C2311yescharacteristic
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364C2×C42×C47C2311yescharacteristic
365C2×C42×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47C22×C414yes—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C2×D4×C47—22no—
389C2×D4×C47—22no—
390C2×D4×C47C22×C414yes—
391C22×C4×C47—22no—
392C22×C4×C47—22no—
393C22×C4×C47—22no—
394C22×C4×C47—22no—
395C22×C4×C47—41no—
396C22×C4×C47—41no—
397C22×C4×C47—41no—
398C22×C4×C47—41no—
399C22×C4×C47—41no—
400C22×C4×C47—41no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47C22×C414yes—
408C22×C4×C47C22×C414yes—
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47C22×C414yes—
431C2×C22⋊D47C22×C414yes—
432C2×C22⋊D47C22×C414yes—
433C2×C22⋊D47C22×C414yes—
434C22×Dic47—22no—
435C22×Dic47—22no—
436C22×Dic47—22no—
437C22×Dic47—41no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47—41no—
441C22×Dic47—41no—
442C22×Dic47C22×C414yes—
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C2×D188—41no—
457C2×D188—41no—
458C2×D188—41no—
459C2×D188—41no—
460C2×D188C22×C414yes—
461C2×D188C22×C414yes—
462C2×C4×D47—22no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47C22×C414yes—
483C2×Dic94—41no—
484C2×Dic94—41no—
485C2×Dic94C22×C414yes—
486C4⋊C4×C47—22no—
487C4⋊C4×C47—41no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C4⋊C4×C47—41no—
494C4⋊C4×C47C22×C414yes—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47C22×C414yes—
500C22⋊C4×C47C22×C414yes—
501C42×C47—41no—
502C42×C47—41no—
503C42×C47C22×C414yes—
504C22⋊Dic47—22no—
505C22⋊Dic47—22no—
506C22⋊Dic47—22no—
507C22⋊Dic47—41no—
508C22⋊Dic47—41no—
509C22⋊Dic47—41no—
510C22⋊Dic47C22×C414yes—
511C22⋊Dic47C22×C414yes—
512(C2×D47)⋊C4—22no—
513(C2×D47)⋊C4—22no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—22no—
516(C2×D47)⋊C4—22no—
517(C2×D47)⋊C4—41no—
518(C2×D47)⋊C4—41no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4C22×C414yes—
531(C2×D47)⋊C4C22×C414yes—
532(C2×D47)⋊C4C22×C414yes—
533(C2×D47)⋊C4C22×C414yes—
534(C2×D47)⋊C4C22×C414yes—
535(C2×D47)⋊C4C22×C414yes—
536(C2×D47)⋊C4C22×C414yes—
537(C2×D47)⋊C4C22×C414yes—
538(C2×D47)⋊C4C22×C414yes—
539(C2×D47)⋊C4C22×C414yes—
540C4⋊Dic47—22no—
541C4⋊Dic47—22no—
542C4⋊Dic47—41no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545C4⋊Dic47—41no—
546C4⋊Dic47C22×C414yes—
547Dic47⋊C4—22no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4C22×C414yes—
558Dic47⋊C4C22×C414yes—
559Dic47⋊C4C22×C414yes—
560Dic47⋊C4C22×C414yes—
561C4×Dic47—22no—
562C4×Dic47—22no—
563C4×Dic47—22no—
564C4×Dic47—22no—
565C4×Dic47—41no—
566C4×Dic47—41no—
567C4×Dic47—41no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C4×Dic47—41no—
574C4×Dic47—41no—
575C4×Dic47C22×C414yes—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47C23×C412yes—
587C23×C47C23×C412yes—
588C23×C47H(5,𝔽2)12yes—
589C23×C472−1+412yes—
590C23×C47C2511yescharacteristic
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—28no—
610C22×D47—44no—
611C22×D47—44no—
612C22×D47—82no—
613C22×D47—82no—
614C22×D47—82no—
615C22×D47—82no—
616C22×D47C23×C412yes—
617C22×D47C23×C412yes—
618C22×D47C23×C412yes—
619D4×C47—28no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—44no—
654C2×C4×C47—44no—
655C2×C4×C47—44no—
656C2×C4×C47—82no—
657C2×C4×C47—82no—
658C2×C4×C47—82no—
659C2×C4×C47C23×C412yes—
660C2×C4×C47C23×C412yes—
661C2×C4×C47C23×C412yes—
662C2×C4×C47C23×C412yes—
663C2×C4×C47C23×C412yes—
664C2×C4×C47H(5,𝔽2)12yes—
665C22⋊D47—28no—
666C22⋊D47—44no—
667C22⋊D47—44no—
668C22⋊D47—44no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—44no—
703C2×Dic47—44no—
704C2×Dic47—82no—
705C2×Dic47C23×C412yes—
706C2×Dic47C23×C412yes—
707C2×Dic47C23×C412yes—
708C2×Dic47C23×C412yes—
709C2×Dic47C23×C412yes—
710C2×Dic47H(5,𝔽2)12yes—
711D188—44no—
712D188—44no—
713C4×D47—44no—
714C4×D47—82no—
715C4×D47—82no—
716C4×D47—82no—
717C4×D47—82no—
718C4×D47—82no—
719C4×D47—82no—
720Dic94—44no—
721#34424—471nomaximal, Sylow
722C22×C47—22no—
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47#52014yes—
736C22×C47C24×C411yescharacteristic
737C22×C47C2×H(5,𝔽2)11yescharacteristic
738C22×C47C2×H(5,𝔽2)11yescharacteristic
739C22×C47C2×H(5,𝔽2)11yescharacteristic
740C22×C47C2×2−1+411yescharacteristic
741C22×C47#58511yescharacteristic
742C22×C47#58511yescharacteristic
743C2×D47—22no—
744C2×D47—22no—
745C2×D47—22no—
746C2×D47—22no—
747C2×D47—22no—
748C2×D47—22no—
749C2×D47—22no—
750C2×D47—22no—
751C2×D47—22no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
755C2×D47—41no—
756C2×D47—41no—
757C2×D47—41no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—88no—
765C4×C47—22no—
766C4×C47—22no—
767C4×C47—22no—
768C4×C47—22no—
769C4×C47—22no—
770C4×C47—22no—
771C4×C47—41no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778Dic47—22no—
779Dic47—22no—
780Dic47—22no—
781Dic47—22no—
782Dic47—22no—
783Dic47—22no—
784Dic47—41no—
785Dic47—41no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791C2×#538—471no—
792#2379—471no—
793#2379—471no—
794#2376—471no—
795#2376—471no—
796#2367—471no—
797#2367—471no—
798#2359—471no—
799#2359—471no—
800#2358—471no—
801#2358—471no—
802#2358—471no—
803#2358—471no—
804#2352—471no—
805#2352—471no—
806#2349—471no—
807#2349D4711yescharacteristic, complemented
808#2334—471no—
809#2334—471no—
810#2334—471no—
811#2334—471no—
812#2329—471no—
813#2325—471no—
814#2325—471no—
815#2325—471no—
816#2324—471no—
817#2324—471no—
818#2315—471no—
819C4×C22⋊Q8—471no—
820C4×#121—471no—
821C2×#388—471no—
822C2×C47—24no—
823C2×C47—42no—
824C2×C47C2×#52011yescharacteristic
825C2×C47C4×H(5,𝔽2)11yescharacteristic
826C2×C47C4×H(5,𝔽2)11yescharacteristic
827C2×C47#353411yescharacteristic
828C2×C47#353611yescharacteristic
829C2×C47#355811yescharacteristic
830C2×C47#356411yescharacteristic
831D47—42no—
832D47—42no—
833D47—42no—
834#538—4716no—
835C2×#126—471no—
836C2×#126—471no—
837C2×#124—471no—
838C2×#124—471no—
839C2×#123—471no—
840C2×#123—471no—
841C2×C22⋊Q8—471no—
842C2×#121—471no—
843C2×#121—471no—
844C2×#121—471no—
845C2×#120—471no—
846C2×#120—471no—
847C2×C4×Q8—471no—
848C2×C4×D4—471no—
849C2×C4×D4—471no—
850C2×C4×D4—471no—
851C2×C4×D4—471no—
852C2×C4×D4—471no—
853C2×C4×D4—471no—
854C2×C4×D4—471no—
855C2×C4×D4—471no—
856C2×C4×D4C2×D4711yescharacteristic
857C2×C4×D4C2×D4711yescharacteristic
858C2×C4×D4C2×D4711yescharacteristic
859C2×#117—471no—
860C2×#117—471no—
861C22×C4⋊C4—471no—
862C22×C22⋊C4—471no—
863C22×C22⋊C4—471no—
864C22×C22⋊C4—471no—
865C22×C22⋊C4—471no—
866C22×C22⋊C4—471no—
867C22×C42—471no—
868#391—471no—
869#391—471no—
870#391—471no—
871#390—471no—
872#390—471no—
873#390—471no—
874#390—471no—
875#390—471no—
876#389—471no—
877#389—471no—
878#389—471no—
879#389—471no—
880#389—471no—
881#389—471no—
882#389C2×D4711yescharacteristic, complemented
883#389C2×D4711yescharacteristic, complemented
884#388—471no—
885#388—471no—
886#388—471no—
887#388—471no—
888#388—471no—
889#388—471no—
890#388—471no—
891#388—471no—
892#388—471no—
893#388—471no—
894#388—471no—
895#388—471no—
896#388—471no—
897#388—471no—
898#388—471no—
899#388—471no—
900#388—471no—
901#388—471no—
902#388—471no—
903#388—471no—
904#388—471no—
905#388—471no—
906#388—471no—
907#388—471no—
908#387—471no—
909#387—471no—
910#387—471no—
911#387—471no—
912#387—471no—
913#387—471no—
914#387—471no—
915#387—471no—
916#387—471no—
917#387—471no—
918#387—471no—
919#387—471no—
920#386—471no—
921#386—471no—
922#386—471no—
923#386—471no—
924#386—471no—
925#386—471no—
926#386—471no—
927#386—471no—
928#386—471no—
929#386—471no—
930#386—471no—
931#386—471no—
932#386—471no—
933#386—471no—
934#385—471no—
935#385—471no—
936#385—471no—
937#385—471no—
938#385—471no—
939#385—471no—
940#385—471no—
941#385—471no—
942#385—471no—
943#385—471no—
944#385—471no—
945#385—471no—
946#385—471no—
947#385—471no—
948#385—471no—
949#385—471no—
950#385—471no—
951#385—471no—
952#385C2×D4711yescharacteristic
953#385C2×D4711yescharacteristic
954#385C2×D4711yescharacteristic, complemented
955#385C2×D4711yescharacteristic, complemented
956#382—471no—
957#382—471no—
958#382—471no—
959#382C2×D4711yescharacteristic, complemented
960#380—471no—
961#380—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#380—471no—
966#380C2×D4711yescharacteristic
967#380C2×D4711yescharacteristic, complemented
968C4×C4⋊C4—471no—
969C4×C4⋊C4—471no—
970C4×C4⋊C4—471no—
971C4×C4⋊C4—471no—
972C4×C4⋊C4—471no—
973C4×C4⋊C4—471no—
974C4×C4⋊C4—471no—
975C4×C4⋊C4C2×D4711yescharacteristic, complemented
976C4×C22⋊C4—471no—
977C4×C22⋊C4—471no—
978C4×C22⋊C4—471no—
979C4×C22⋊C4—471no—
980C4×C22⋊C4—471no—
981C4×C22⋊C4—471no—
982C4×C22⋊C4—471no—
983C4×C22⋊C4—471no—
984C4×C22⋊C4—471no—
985C4×C22⋊C4—471no—
986C2×#95—471no—
987C2×#95—471no—
988C2×#95C2×D4711yescharacteristic
989C2×#95C2×D4711yescharacteristic, complemented
990C47#3442411yescharacteristic, complemented, Sylow
991C25—471no—
992C22×Q8—471no—
993C22×D4—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4—471no—
998C22×D4—471no—
999C22×D4C22×D4711yescharacteristic
1000C23×C4—471no—
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4C22×D4711yescharacteristic
1011C23×C4C22×D4711yescharacteristic
1012C23×C4C22×D4711yescharacteristic
1013C23×C4C22×D4711yescharacteristic
1014C23×C4C22×D4711yescharacteristic
1015C23×C4C22×D4711yescharacteristic
1016#126—478no—
1017#126—478no—
1018#124—478no—
1019#124—478no—
1020#123—478no—
1021#123—478no—
1022C22⋊Q8—478no—
1023#121—478no—
1024#121—478no—
1025#121—478no—
1026#120—478no—
1027#120—478no—
1028C4×Q8—1882no—
1029C4×D4—42no—
1030C4×D4—42no—
1031C4×D4—478no—
1032C4×D4—1882no—
1033C4×D4—1882no—
1034C4×D4—1882no—
1035C4×D4—1882no—
1036C4×D4—1882no—
1037C4×D4—1882no—
1038C4×D4—1882no—
1039C4×D4C4×D4718yescomplemented
1040#117—1882no—
1041#117—1882no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—1882no—
1064C2×C4⋊C4C22×D4711yescharacteristic
1065C2×C4⋊C4C22×D4711yescharacteristic
1066C2×C4⋊C4C22×D4711yescharacteristic
1067C2×C4⋊C4C22×D4711yescharacteristic
1068C2×C4⋊C4C22×D4711yescharacteristic
1069C2×C4⋊C4C22×D4711yescharacteristic
1070C2×C4⋊C4C22×D4711yescharacteristic
1071C2×C4⋊C4C22×D4711yescharacteristic
1072C2×C4⋊C4C22×D4711yescharacteristic
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—478no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—1882no—
1111C2×C22⋊C4—1882no—
1112C2×C22⋊C4—1882no—
1113C2×C22⋊C4—1882no—
1114C2×C22⋊C4C22×D4711yescharacteristic
1115C2×C22⋊C4C22×D4711yescharacteristic
1116C2×C22⋊C4C22×D4711yescharacteristic
1117C2×C22⋊C4C22×D4711yescharacteristic
1118C2×C22⋊C4C22×D4711yescharacteristic
1119C2×C22⋊C4C22×D4711yescharacteristic
1120C2×C42—471no—
1121C2×C42—471no—
1122C2×C42—471no—
1123C2×C42—471no—
1124C2×C42—471no—
1125C2×C42—471no—
1126C2×C42—471no—
1127C2×C42—471no—
1128C2×C42—471no—
1129C2×C42—471no—
1130C2×C42—471no—
1131C2×C42—471no—
1132C2×C42—471no—
1133C2×C42—471no—
1134C2×C42—471no—
1135C2×C42—1882no—
1136C2×C42C22×D4711yescharacteristic
1137C2×C42C22×D4711yescharacteristic
1138C2×C42C22×D4711yescharacteristic
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95C22×D4711yescharacteristic
1170#95C22×D4711yescharacteristic
1171#95C22×D4711yescharacteristic
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179C24—471no—
1180C24—471no—
1181C24—471no—
1182C24—474no—
1183C24—942no—
1184C24—942no—
1185C24—1881no—
1186C24—1881no—
1187C24—1881no—
1188C24—1881no—
1189C24C23×D4711yescharacteristic
1190C24C23×D4711yescharacteristic
1191C2×Q8—474no—
1192C2×Q8—1881no—
1193C2×Q8—1881no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—474no—
1197C2×D4—474no—
1198C2×D4—474no—
1199C2×D4—474no—
1200C2×D4—474no—
1201C2×D4—474no—
1202C2×D4—942no—
1203C2×D4—942no—
1204C2×D4—1881no—
1205C2×D4—1881no—
1206C2×D4—1881no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C2×D4C2×C4×D4714yes—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—471no—
1232C22×C4—471no—
1233C22×C4—471no—
1234C22×C4—471no—
1235C22×C4—471no—
1236C22×C4—471no—
1237C22×C4—474no—
1238C22×C4—474no—
1239C22×C4—471no—
1240C22×C4—471no—
1241C22×C4—471no—
1242C22×C4—471no—
1243C22×C4—471no—
1244C22×C4—471no—
1245C22×C4—471no—
1246C22×C4—942no—
1247C22×C4—942no—
1248C22×C4—942no—
1249C22×C4—942no—
1250C22×C4—1881no—
1251C22×C4—1881no—
1252C22×C4—1881no—
1253C22×C4—1881no—
1254C22×C4—1881no—
1255C22×C4—1881no—
1256C22×C4—1881no—
1257C22×C4—1881no—
1258C22×C4—1881no—
1259C22×C4—1881no—
1260C22×C4—1881no—
1261C22×C4—1881no—
1262C22×C4—1881no—
1263C22×C4—1881no—
1264C22×C4—1881no—
1265C22×C4—1881no—
1266C22×C4—1881no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4C2×C4×D4714yes—
1275C22×C4C2×C4×D4714yes—
1276C22×C4C23×D4711yescharacteristic
1277C22×C4C23×D4711yescharacteristic
1278C22×C4C23×D4711yescharacteristic
1279C22×C4C23×D4711yescharacteristic
1280C22×C4C23×D4711yescharacteristic
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—474no—
1298C4⋊C4—474no—
1299C4⋊C4—474no—
1300C4⋊C4—474no—
1301C4⋊C4—474no—
1302C4⋊C4—942no—
1303C4⋊C4—942no—
1304C4⋊C4—942no—
1305C4⋊C4—1881no—
1306C4⋊C4—1881no—
1307C4⋊C4—1881no—
1308C4⋊C4—1881no—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4C2×C4×D4714yes—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—474no—
1324C22⋊C4—474no—
1325C22⋊C4—474no—
1326C22⋊C4—474no—
1327C22⋊C4—474no—
1328C22⋊C4—474no—
1329C22⋊C4—474no—
1330C22⋊C4—474no—
1331C22⋊C4—474no—
1332C22⋊C4—474no—
1333C22⋊C4—474no—
1334C22⋊C4—474no—
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—1881no—
1344C22⋊C4—1881no—
1345C22⋊C4—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4—1881no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4C2×C4×D4714yes—
1360C22⋊C4C2×C4×D4714yes—
1361C42—41no—
1362C42—41no—
1363C42—474no—
1364C42—942no—
1365C42—942no—
1366C42—942no—
1367C42—942no—
1368C42—1881no—
1369C42—1881no—
1370C42—1881no—
1371C42—1881no—
1372C42—1881no—
1373C42—1881no—
1374C42—1881no—
1375C42—1881no—
1376C42—1881no—
1377C42—1881no—
1378C42C2×C4×D4714yes—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—472no—
1390C23—472no—
1391C23—472no—
1392C23—948no—
1393C23—941no—
1394C23—941no—
1395C23—941no—
1396C23—941no—
1397C23—941no—
1398C23—941no—
1399C23—941no—
1400C23—941no—
1401C23—941no—
1402C23—941no—
1403C23—941no—
1404C23—941no—
1405C23—941no—
1406C23—941no—
1407C23—941no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—3762no—
1412C23—3762no—
1413C23—3762no—
1414C23—3762no—
1415C23—1884no—
1416C23—1884no—
1417C23C22×C4×D4712yes—
1418C23C22×C4×D4712yes—
1419C23#1309406912yes—
1420C23#1309407212yes—
1421C23C24×D4711yescharacteristic
1422Q8—1884no—
1423D4—28no—
1424D4—948no—
1425D4—1884no—
1426D4—1884no—
1427D4—1884no—
1428D4—1884no—
1429D4—1884no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4—472no—
1470C2×C4—472no—
1471C2×C4—472no—
1472C2×C4—472no—
1473C2×C4—472no—
1474C2×C4—472no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—3762no—
1509C2×C4—3762no—
1510C2×C4—3762no—
1511C2×C4—3762no—
1512C2×C4—3762no—
1513C2×C4—3762no—
1514C2×C4—3762no—
1515C2×C4—1884no—
1516C2×C4—1884no—
1517C2×C4—1884no—
1518C2×C4C22×C4×D4712yes—
1519C2×C4C22×C4×D4712yes—
1520C2×C4C22×C4×D4712yes—
1521C2×C4C22×C4×D4712yes—
1522C2×C4C22×C4×D4712yes—
1523C2×C4#1309407012yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—942no—
1538C22—942no—
1539C22—942no—
1540C22—942no—
1541C22—942no—
1542C22—942no—
1543C22—942no—
1544C22—942no—
1545C22—942no—
1546C22—3768no—
1547C22—1881no—
1548C22—1881no—
1549C22—1881no—
1550C22—1881no—
1551C22—1881no—
1552C22—1881no—
1553C22—1881no—
1554C22—1881no—
1555C22—1881no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22#1568960414yes—
1560C22C23×C4×D4711yescharacteristic
1561C22H(5,𝔽2)×D4711yescharacteristic
1562C22C2×#1309406911yescharacteristic
1563C22C2×#1309407011yescharacteristic
1564C22C2×#1309407211yescharacteristic
1565C22#1568995811yescharacteristic
1566C22#1568995911yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—942no—
1581C4—942no—
1582C4—942no—
1583C4—942no—
1584C4—942no—
1585C4—942no—
1586C4—1881no—
1587C4—1881no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C2—24no—
1594C2—42no—
1595C2—1882no—
1596C2—1882no—
1597C2—1882no—
1598C2C2×#1568960411yescharacteristic
1599C2#2025659211yescharacteristic
1600C2C4×#1309407011yescharacteristic
1601C2#2025757411yescharacteristic
1602C2#2025761611yescharacteristic
1603C2#2025789811yescharacteristic
1604C2#2025801111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2349C2
socle, cosocleC23×C47C25
prime radicalC2×#15689706C2
hypercenter#2349D47
hypocenterC47#34424
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2349

Complements

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

NH ≅ G/Ntype
2. #20246561C2semidirect
3. #20246559C2semidirect
4. #20246533C2semidirect
5. #20246532C2semidirect
6. #20246459C2semidirect
7. #20246456C2semidirect
8. #20246376C2semidirect
9. #20246375C2semidirect
10. #20246365C2semidirect
11. #20246365C2semidirect
12. #20246364C2semidirect
13. #20246364C2semidirect
14. #20246319C2semidirect
15. #20246317C2semidirect
16. #20246295C2semidirect
17. #20246163C2semidirect
18. #20246162C2semidirect
19. #20246159C2semidirect
20. #20246156C2semidirect
21. #20246119C2semidirect
22. #20246091C2semidirect
23. #20246086C2semidirect
24. #20246085C2semidirect
25. #20246080C2semidirect
26. #20246077C2semidirect
27. #20246001C2semidirect
28. #20245920C2semidirect
29. C4×#13093996C2semidirect
30. C2×#15689015C2semidirect
31. C47×#2349C2semidirect
32. #15689706C4semidirect
45. C2×#13093989C22semidirect
53. C2×C4×C22⋊D47C22semidirect
54. C2×#13093983C22semidirect
55. C2×#13093982C22semidirect
63. #15689028C22semidirect
64. #15689027C22semidirect
65. #15689027C22semidirect
70. #15689023C22semidirect
71. #15689020C22semidirect
72. #15689020C22semidirect
73. #15689019C22semidirect
74. #15689018C22semidirect
75. #15689018C22semidirect
76. #15689018C22semidirect
77. #15689017C22semidirect
78. #15689016C22semidirect
79. #15689016C22semidirect
88. #15689015C22semidirect
89. #15689015C22semidirect
92. #15689014C22semidirect
97. #15689013C22semidirect
100. #15689011C22semidirect
101. #15689010C22semidirect
102. #15689010C22semidirect
103. #15689009C22semidirect
104. #15689009C22semidirect
105. #15689008C22semidirect
106. #15689008C22semidirect
107. #15689007C22semidirect
108. #15689005C22semidirect
109. #15689005C22semidirect
110. #15689004C22semidirect
111. #15689004C22semidirect
112. #15689004C22semidirect
117. #15689002C22semidirect
126. #15688999C22semidirect
131. #15688997C22semidirect
132. #15688997C22semidirect
135. #15688996C22semidirect
144. #15688994C22semidirect
145. #15688989C22semidirect
146. #15688988C22semidirect
147. #15688987C22semidirect
149. #15688983C22semidirect
150. #15688982C22semidirect
153. #15688980C22semidirect
154. C4⋊C4×Dic47C22semidirect
155. C4⋊C4×Dic47C22semidirect
156. C4×Dic47⋊C4C22semidirect
157. C4×C4⋊Dic47C22semidirect
158. #15688974C22semidirect
159. #15688974C22semidirect
160. #15688974C22semidirect
167. C4×(C2×D47)⋊C4C22semidirect
168. C4×C22⋊Dic47C22semidirect
172. #95×D47C22semidirect
176. C47×#389C22semidirect
177. C47×#389C22semidirect
180. C47×#385C22semidirect
181. C47×#385C22semidirect
182. C47×#382C22semidirect
184. C47×#380C22semidirect
185. C4×C4⋊C4×C47C22semidirect
187. C2×#95×C47C22semidirect
206. #13094019C2×C4semidirect
207. #13094018C2×C4semidirect
208. #13094012C2×C4semidirect
209. #13094010C2×C4semidirect
210. #13094009C2×C4semidirect
211. #13094007C2×C4semidirect
212. #13094001C2×C4semidirect
213. #13093998C2×C4semidirect
214. #13093997C2×C4semidirect
215. #13093996C2×C4semidirect
216. #13093994C2×C4semidirect
217. #13093992C2×C4semidirect
226. C4×C22⋊D47C2×C4semidirect
261. C2×(C2×D47)⋊C4C2×C4semidirect
347. C4×D4×C47C2×C4semidirect
807. #2349D47semidirect
882. #389C2×D47semidirect
883. #389C2×D47semidirect
954. #385C2×D47semidirect
955. #385C2×D47semidirect
959. #382C2×D47semidirect
967. #380C2×D47semidirect
975. C4×C4⋊C4C2×D47semidirect
989. C2×#95C2×D47semidirect
990. C47#34424semidirect
1039. C4×D4C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897062
#202465612
#202465592
#202465332
#202465322
#202464592
#202464562
#202463762
#202463752
#202463652
#202463642
#202463192
#202463172
#202462952
#202461632
#202461622
#202461592
#202461562
#202461192
#202460912
#202460862
#202460852
#202460802
#202460772
#202460012
#202459202
C4×#130939962
C2×#156890152
C47×#23492
#3442447