Finite Group Databasebeta

← #26379979

Subgroups — #26379979

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×#15689709C211yesmaximal, characteristic
2#20246561C211yesmaximal, characteristic, complemented
3#20246561C211yesmaximal, characteristic, complemented
4#20246536C211yesmaximal, characteristic, complemented
5#20246535C211yesmaximal, characteristic, complemented
6#20246462C211yesmaximal, characteristic, complemented
7#20246460C211yesmaximal, characteristic, complemented
8#20246385C211yesmaximal, characteristic, complemented
9#20246371C211yesmaximal, characteristic, complemented
10#20246370C211yesmaximal, characteristic, complemented
11#20246366C211yesmaximal, characteristic, complemented
12#20246365C211yesmaximal, characteristic, complemented
13#20246318C211yesmaximal, characteristic, complemented
14#20246312C211yesmaximal, characteristic, complemented
15#20246297C211yesmaximal, characteristic, complemented
16#20246295C211yesmaximal, characteristic, complemented
17#20246170C211yesmaximal, characteristic, complemented
18#20246168C211yesmaximal, characteristic, complemented
19#20246165C211yesmaximal, characteristic, complemented
20#20246162C211yesmaximal, characteristic, complemented
21#20246117C211yesmaximal, characteristic, complemented
22#20246091C211yesmaximal, characteristic, complemented
23#20246090C211yesmaximal, characteristic, complemented
24#20246085C211yesmaximal, characteristic, complemented
25#20246081C211yesmaximal, characteristic, complemented
26#20246075C211yesmaximal, characteristic, complemented
27#20245999C211yesmaximal, characteristic, complemented
28C4×#13094004C211yesmaximal, characteristic, complemented
29C4×#13093997C211yesmaximal, characteristic, complemented
30#388×D47C211yesmaximal, characteristic, complemented
31C47×#2359C211yesmaximal, characteristic, complemented
32#15689709C4116yescomplemented
33C2×#13094019C2211yescharacteristic
34C2×#13094017C2211yescharacteristic
35C2×#13094010C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094004C2211yescharacteristic
39C2×#13093998C2211yescharacteristic
40C2×#13093997C2211yescharacteristic
41C2×#13093995C2211yescharacteristic
42C2×#13093994C2211yescharacteristic
43C2×#13093992C2211yescharacteristic
44C2×C4×Dic94C2211yescharacteristic, complemented
45C2×C4×D188C2211yescharacteristic
46C2×C4×D188C2211yescharacteristic
47C2×#13093986C2211yescharacteristic
48C2×#13093986C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×C4×C22⋊D47C2211yescharacteristic
51C2×C4×C22⋊D47C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic
53C2×C4×C22⋊D47C2211yescharacteristic, complemented
54C2×(C22⋊D47)⋊C4C2211yescharacteristic
55C2×#13093981C2211yescharacteristic, complemented
56C2×C4⋊C4×D47C2211yescharacteristic
57C22×(C2×D47)⋊C4C2211yescharacteristic
58C2×C22⋊C4×D47C2211yescharacteristic
59C2×C22⋊C4×D47C2211yescharacteristic
60C2×C22⋊C4×D47C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C42×D47C2211yescharacteristic
63#15689028C2211yescharacteristic, complemented
64#15689027C2211yescharacteristic, complemented
65#15689027C2211yescharacteristic, complemented
66#15689026C2211yescharacteristic
67#15689025C2211yescharacteristic
68#15689023C2211yescharacteristic
69#15689023C2211yescharacteristic
70#15689023C2211yescharacteristic, complemented
71#15689022C2211yescharacteristic, complemented
72#15689022C2211yescharacteristic, complemented
73#15689021C2211yescharacteristic, complemented
74#15689020C2211yescharacteristic, complemented
75#15689020C2211yescharacteristic, complemented
76#15689020C2211yescharacteristic, complemented
77#15689019C2211yescharacteristic, complemented
78#15689017C2211yescharacteristic
79#15689017C2211yescharacteristic
80#15689017C2211yescharacteristic
81#15689017C2211yescharacteristic, complemented
82#15689017C2211yescharacteristic, complemented
83#15689016C2211yescharacteristic
84#15689016C2211yescharacteristic
85#15689016C2211yescharacteristic, complemented
86#15689016C2211yescharacteristic, complemented
87#15689015C2211yescharacteristic
88#15689015C2211yescharacteristic
89#15689015C2211yescharacteristic, complemented
90#15689015C2211yescharacteristic, complemented
91#15689014C2211yescharacteristic
92#15689014C2211yescharacteristic
93#15689014C2211yescharacteristic
94#15689013C2211yescharacteristic
95#15689013C2211yescharacteristic
96#15689013C2211yescharacteristic, complemented
97#15689012C2211yescharacteristic
98#15689012C2211yescharacteristic, complemented
99#15689011C2211yescharacteristic
100#15689009C2211yescharacteristic, complemented
101#15689009C2211yescharacteristic, complemented
102#15689008C2211yescharacteristic, complemented
103#15689008C2211yescharacteristic, complemented
104#15689008C2211yescharacteristic, complemented
105#15689007C2211yescharacteristic, complemented
106#15689007C2211yescharacteristic, complemented
107#15689006C2211yescharacteristic, complemented
108#15689005C2211yescharacteristic, complemented
109#15689004C2211yescharacteristic, complemented
110#15689003C2211yescharacteristic
111#15689002C2211yescharacteristic
112#15689002C2211yescharacteristic
113#15689002C2211yescharacteristic, complemented
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689001C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15688999C2211yescharacteristic
119#15688999C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic, complemented
123#15688998C2211yescharacteristic
124#15688998C2211yescharacteristic
125#15688997C2211yescharacteristic
126#15688997C2211yescharacteristic
127#15688997C2211yescharacteristic
128#15688997C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic
131#15688997C2211yescharacteristic, complemented
132#15688996C2211yescharacteristic
133#15688996C2211yescharacteristic
134#15688996C2211yescharacteristic, complemented
135#15688996C2211yescharacteristic, complemented
136#15688995C2211yescharacteristic
137#15688994C2211yescharacteristic
138#15688994C2211yescharacteristic
139#15688994C2211yescharacteristic
140#15688994C2211yescharacteristic
141#15688994C2211yescharacteristic, complemented
142#15688994C2211yescharacteristic, complemented
143#15688988C2211yescharacteristic, complemented
144#15688988C2211yescharacteristic, complemented
145#15688987C2211yescharacteristic, complemented
146#15688987C2211yescharacteristic, complemented
147#15688983C2211yescharacteristic, complemented
148#15688983C2211yescharacteristic, complemented
149#15688982C2211yescharacteristic
150#15688982C2211yescharacteristic
151#15688982C2211yescharacteristic, complemented
152#15688980C2211yescharacteristic
153#15688980C2211yescharacteristic
154#15688980C2211yescharacteristic, complemented
155C4⋊C4×Dic47C2211yescharacteristic, complemented
156C4×Dic47⋊C4C2211yescharacteristic, complemented
157C4×Dic47⋊C4C2211yescharacteristic, complemented
158C4×C4⋊Dic47C2211yescharacteristic, complemented
159C4×C4⋊Dic47C2211yescharacteristic, complemented
160#15688974C2211yescharacteristic, complemented
161#15688974C2211yescharacteristic, complemented
162C22⋊C4×Dic47C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic
165C4×(C2×D47)⋊C4C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688970C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic, complemented
173C2×#123×C47C2211yescharacteristic
174C2×C4×D4×C47C2211yescharacteristic
175C2×#117×C47C2211yescharacteristic, complemented
176C47×#389C2211yescharacteristic, complemented
177C47×#388C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#387C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#385C2211yescharacteristic, complemented
184C4×C4⋊C4×C47C2211yescharacteristic, complemented
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic, complemented
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
197C22×C4×D47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208#13094019C2×C418yescomplemented
209#13094017C2×C418yescomplemented
210#13094010C2×C418yescomplemented
211#13094010C2×C418yescomplemented
212#13094009C2×C418yescomplemented
213#13094004C2×C418yescomplemented
214#13093998C2×C418yescomplemented
215#13093997C2×C418yescomplemented
216#13093995C2×C418yescomplemented
217#13093994C2×C418yescomplemented
218#13093992C2×C418yescomplemented
219C4×Dic94—42no—
220C4×D188—42no—
221C4×D188—42no—
222#13093986—42no—
223#13093986C2×C418yescomplemented
224C4×C22⋊D47—42no—
225C4×C22⋊D47—42no—
226C4×C22⋊D47—42no—
227C4×C22⋊D47—42no—
228C4×C22⋊D47C2×C418yescomplemented
229(C22⋊D47)⋊C4—42no—
230#13093981—42no—
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C4⋊C4×D47—42no—
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×(C2×D47)⋊C4—42no—
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—
292C22⋊C4×D47—42no—
293C22⋊C4×D47C2×C418yescomplemented
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
307C42×D47—42no—
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
343#123×C47C2×C418yescomplemented
344C4×D4×C47—42no—
345#117×C47—42no—
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C4⋊C4×C47C2311yescharacteristic
351C2×C4⋊C4×C47C2311yescharacteristic
352C2×C4⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×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—41no—
389C2×D4×C47—41no—
390C2×D4×C47C22×C414yes—
391C22×C4×C47—22no—
392C22×C4×C47—41no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
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×C47C22×C414yes—
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C2×C22⋊D47—22no—
417C2×C22⋊D47—22no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C2×C22⋊D47—41no—
424C2×C22⋊D47C22×C414yes—
425C2×C22⋊D47C22×C414yes—
426C2×C22⋊D47C22×C414yes—
427C2×C22⋊D47C22×C414yes—
428C22×Dic47—41no—
429C22×Dic47—41no—
430C22×Dic47—41no—
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C2×D188—22no—
445C2×D188—22no—
446C2×D188—41no—
447C2×D188—41no—
448C2×D188C22×C414yes—
449C2×D188C22×C414yes—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—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×D47C22×C414yes—
481C2×C4×D47C22×C414yes—
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×C47C22×C414yes—
492C4⋊C4×C47C22×C414yes—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47C22×C414yes—
499C22⋊C4×C47C22×C414yes—
500C22⋊C4×C47C22×C414yes—
501C42×C47—22no—
502C42×C47—22no—
503C42×C47—22no—
504C42×C47—41no—
505C42×C47—41no—
506C22⋊Dic47—41no—
507C22⋊Dic47—41no—
508C22⋊Dic47—41no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47C22×C414yes—
514C22⋊Dic47C22×C414yes—
515C22⋊Dic47C22×C414yes—
516(C2×D47)⋊C4—22no—
517(C2×D47)⋊C4—22no—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊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—41no—
541C4⋊Dic47—41no—
542C4⋊Dic47—41no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547C4⋊Dic47C22×C414yes—
548C4⋊Dic47C22×C414yes—
549Dic47⋊C4—22no—
550Dic47⋊C4—22no—
551Dic47⋊C4—22no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4C22×C414yes—
562Dic47⋊C4C22×C414yes—
563C4×Dic47—22no—
564C4×Dic47—41no—
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×Dic47C22×C414yes—
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×C47—21no—
587C23×C47—21no—
588C23×C47C23×C412yes—
589C23×C47C23×C412yes—
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—28no—
608C22×D47—44no—
609C22×D47—44no—
610C22×D47—82no—
611C22×D47—82no—
612C22×D47—82no—
613C22×D47—82no—
614C22×D47C23×C412yes—
615C22×D47C23×C412yes—
616C22×D47C23×C412yes—
617C22×D47H(5,𝔽2)12yes—
618C22×D472−1+412yes—
619D4×C47—44no—
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—44no—
653C2×C4×C47—82no—
654C2×C4×C47—82no—
655C2×C4×C47—82no—
656C2×C4×C47C23×C412yes—
657C2×C4×C47C23×C412yes—
658C2×C4×C47C23×C412yes—
659C2×C4×C47C23×C412yes—
660C2×C4×C47C23×C412yes—
661C2×C4×C47H(5,𝔽2)12yes—
662C2×C4×C47H(5,𝔽2)12yes—
663C22⋊D47—28no—
664C22⋊D47—44no—
665C22⋊D47—44no—
666C22⋊D47—44no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—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—82no—
702C2×Dic47C23×C412yes—
703C2×Dic47C23×C412yes—
704C2×Dic47C23×C412yes—
705C2×Dic47C23×C412yes—
706C2×Dic47C23×C412yes—
707D188—28no—
708D188—44no—
709C4×D47—44no—
710C4×D47—44no—
711C4×D47—44no—
712C4×D47—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—41no—
729C22×C47—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
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—22no—
753C2×D47—22no—
754C2×D47—22no—
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—88no—
764C2×D47#52014yes—
765C4×C47—22no—
766C4×C47—22no—
767C4×C47—22no—
768C4×C47—22no—
769C4×C47—22no—
770C4×C47—22no—
771C4×C47—22no—
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—41no—
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#2359D4711yescharacteristic, complemented
800#2358—471no—
801#2358—471no—
802#2358—471no—
803#2358—471no—
804#2352—471no—
805#2352—471no—
806#2349—471no—
807#2349—471no—
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—42no—
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—24no—
832D47—42no—
833D47—42no—
834#538—4716no—
835C2×#126—471no—
836C2×#126—471no—
837C2×#124—471no—
838C2×#124—471no—
839C2×#123—471no—
840C2×#123C2×D4711yescharacteristic
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×D4—471no—
857C2×C4×D4—471no—
858C2×C4×D4C2×D4711yescharacteristic
859C2×#117—471no—
860C2×#117C2×D4711yescharacteristic, complemented
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#389—471no—
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#388C2×D4711yescharacteristic
907#388C2×D4711yescharacteristic
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#387C2×D4711yescharacteristic, complemented
919#387C2×D4711yescharacteristic, complemented
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#386C2×D4711yescharacteristic
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#385—471no—
953#385—471no—
954#385C2×D4711yescharacteristic
955#385C2×D4711yescharacteristic, complemented
956#382—471no—
957#382—471no—
958#382—471no—
959#382—471no—
960#380—471no—
961#380—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#380—471no—
966#380—471no—
967#380—471no—
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⋊C4C2×D4711yescharacteristic
985C4×C22⋊C4C2×D4711yescharacteristic, complemented
986C2×#95—471no—
987C2×#95—471no—
988C2×#95—471no—
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×C4—471no—
1011C23×C4—471no—
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#123C4×D4718yescomplemented
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—478no—
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×D4—1882no—
1040#117—42no—
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—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—1882no—
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—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—478no—
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—1882no—
1109C2×C22⋊C4—1882no—
1110C2×C22⋊C4—1882no—
1111C2×C22⋊C4—1882no—
1112C2×C22⋊C4C22×D4711yescharacteristic
1113C2×C22⋊C4C22×D4711yescharacteristic
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—1882no—
1134C2×C42C22×D4711yescharacteristic
1135C2×C42C22×D4711yescharacteristic
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—41no—
1195C2×D4—41no—
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—942no—
1205C2×D4—942no—
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—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—471no—
1231C22×C4—474no—
1232C22×C4—474no—
1233C22×C4—474no—
1234C22×C4—471no—
1235C22×C4—471no—
1236C22×C4—471no—
1237C22×C4—471no—
1238C22×C4—471no—
1239C22×C4—471no—
1240C22×C4—471no—
1241C22×C4—471no—
1242C22×C4—942no—
1243C22×C4—942no—
1244C22×C4—942no—
1245C22×C4—942no—
1246C22×C4—942no—
1247C22×C4—942no—
1248C22×C4—942no—
1249C22×C4—1881no—
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×C4—1881no—
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—474no—
1295C4⋊C4—474no—
1296C4⋊C4—474no—
1297C4⋊C4—474no—
1298C4⋊C4—942no—
1299C4⋊C4—942no—
1300C4⋊C4—942no—
1301C4⋊C4—1881no—
1302C4⋊C4—1881no—
1303C4⋊C4—1881no—
1304C4⋊C4—1881no—
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⋊C4C2×C4×D4714yes—
1318C4⋊C4C2×C4×D4714yes—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
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—1881no—
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⋊C4C2×C4×D4714yes—
1359C22⋊C4C2×C4×D4714yes—
1360C22⋊C4C2×C4×D4714yes—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—41no—
1365C42—41no—
1366C42—474no—
1367C42—474no—
1368C42—942no—
1369C42—1881no—
1370C42—1881no—
1371C42—1881no—
1372C42—1881no—
1373C42—1881no—
1374C42—1881no—
1375C42—1881no—
1376C42—1881no—
1377C42—1881no—
1378C42—1881no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—472no—
1392C23—472no—
1393C23—472no—
1394C23—472no—
1395C23—472no—
1396C23—948no—
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—941no—
1412C23—941no—
1413C23—3762no—
1414C23—3762no—
1415C23—3762no—
1416C23—3762no—
1417C23—1884no—
1418C23—1884no—
1419C23C22×C4×D4712yes—
1420C23C22×C4×D4712yes—
1421C23C24×D4711yescharacteristic
1422Q8—1884no—
1423D4—44no—
1424D4—948no—
1425D4—948no—
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—44no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—472no—
1467C2×C4—472no—
1468C2×C4—472no—
1469C2×C4—472no—
1470C2×C4—472no—
1471C2×C4—941no—
1472C2×C4—941no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—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—3762no—
1506C2×C4—3762no—
1507C2×C4—3762no—
1508C2×C4—3762no—
1509C2×C4—3762no—
1510C2×C4—3762no—
1511C2×C4—3762no—
1512C2×C4—1884no—
1513C2×C4—1884no—
1514C2×C4—1884no—
1515C2×C4—1884no—
1516C2×C4—1884no—
1517C2×C4C22×C4×D4712yes—
1518C2×C4C22×C4×D4712yes—
1519C2×C4C22×C4×D4712yes—
1520C2×C4C22×C4×D4712yes—
1521C2×C4C22×C4×D4712yes—
1522C2×C4#1309406912yes—
1523C2×C4#1309407012yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—474no—
1539C22—942no—
1540C22—942no—
1541C22—942no—
1542C22—942no—
1543C22—942no—
1544C22—942no—
1545C22—942no—
1546C22—942no—
1547C22—942no—
1548C22—942no—
1549C22—942no—
1550C22—942no—
1551C22—3768no—
1552C22—1881no—
1553C22—1881no—
1554C22—1881no—
1555C22—1881no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22C23×C4×D4711yescharacteristic
1561C22H(5,𝔽2)×D4711yescharacteristic
1562C22C2×#1309406911yescharacteristic
1563C22C2×#1309407011yescharacteristic
1564C222−1+4×D4711yescharacteristic
1565C22#1568995911yescharacteristic
1566C22#1568995911yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—942no—
1581C4—942no—
1582C4—942no—
1583C4—942no—
1584C4—942no—
1585C4—1881no—
1586C4—1881no—
1587C4—1881no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C2—42no—
1594C2—42no—
1595C2—944no—
1596C2—1882no—
1597C2—1882no—
1598C2#520×D4711yescharacteristic
1599C2C4×#1309406911yescharacteristic
1600C2C4×#1309407011yescharacteristic
1601C2#2025758111yescharacteristic
1602C2#2025761111yescharacteristic
1603C2#2025789711yescharacteristic
1604C2#2025799911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2359C2
socle, cosocleC23×C47C25
prime radicalC2×#15689709C2
hypercenter#2359D47
hypocenterC47#34424
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
2. #20246561C2semidirect
3. #20246561C2semidirect
4. #20246536C2semidirect
5. #20246535C2semidirect
6. #20246462C2semidirect
7. #20246460C2semidirect
8. #20246385C2semidirect
9. #20246371C2semidirect
10. #20246370C2semidirect
11. #20246366C2semidirect
12. #20246365C2semidirect
13. #20246318C2semidirect
14. #20246312C2semidirect
15. #20246297C2semidirect
16. #20246295C2semidirect
17. #20246170C2semidirect
18. #20246168C2semidirect
19. #20246165C2semidirect
20. #20246162C2semidirect
21. #20246117C2semidirect
22. #20246091C2semidirect
23. #20246090C2semidirect
24. #20246085C2semidirect
25. #20246081C2semidirect
26. #20246075C2semidirect
27. #20245999C2semidirect
28. C4×#13094004C2semidirect
29. C4×#13093997C2semidirect
30. #388×D47C2semidirect
31. C47×#2359C2semidirect
32. #15689709C4semidirect
44. C2×C4×Dic94C22semidirect
53. C2×C4×C22⋊D47C22semidirect
55. C2×#13093981C22semidirect
63. #15689028C22semidirect
64. #15689027C22semidirect
65. #15689027C22semidirect
70. #15689023C22semidirect
71. #15689022C22semidirect
72. #15689022C22semidirect
73. #15689021C22semidirect
74. #15689020C22semidirect
75. #15689020C22semidirect
76. #15689020C22semidirect
77. #15689019C22semidirect
81. #15689017C22semidirect
82. #15689017C22semidirect
85. #15689016C22semidirect
86. #15689016C22semidirect
89. #15689015C22semidirect
90. #15689015C22semidirect
96. #15689013C22semidirect
98. #15689012C22semidirect
100. #15689009C22semidirect
101. #15689009C22semidirect
102. #15689008C22semidirect
103. #15689008C22semidirect
104. #15689008C22semidirect
105. #15689007C22semidirect
106. #15689007C22semidirect
107. #15689006C22semidirect
108. #15689005C22semidirect
109. #15689004C22semidirect
113. #15689002C22semidirect
122. #15688999C22semidirect
131. #15688997C22semidirect
134. #15688996C22semidirect
135. #15688996C22semidirect
141. #15688994C22semidirect
142. #15688994C22semidirect
143. #15688988C22semidirect
144. #15688988C22semidirect
145. #15688987C22semidirect
146. #15688987C22semidirect
147. #15688983C22semidirect
148. #15688983C22semidirect
151. #15688982C22semidirect
154. #15688980C22semidirect
155. C4⋊C4×Dic47C22semidirect
156. C4×Dic47⋊C4C22semidirect
157. C4×Dic47⋊C4C22semidirect
158. C4×C4⋊Dic47C22semidirect
159. C4×C4⋊Dic47C22semidirect
160. #15688974C22semidirect
161. #15688974C22semidirect
166. C4×(C2×D47)⋊C4C22semidirect
172. #95×D47C22semidirect
175. C2×#117×C47C22semidirect
176. C47×#389C22semidirect
179. C47×#387C22semidirect
180. C47×#387C22semidirect
183. C47×#385C22semidirect
184. C4×C4⋊C4×C47C22semidirect
186. C4×C22⋊C4×C47C22semidirect
187. C2×#95×C47C22semidirect
208. #13094019C2×C4semidirect
209. #13094017C2×C4semidirect
210. #13094010C2×C4semidirect
211. #13094010C2×C4semidirect
212. #13094009C2×C4semidirect
213. #13094004C2×C4semidirect
214. #13093998C2×C4semidirect
215. #13093997C2×C4semidirect
216. #13093995C2×C4semidirect
217. #13093994C2×C4semidirect
218. #13093992C2×C4semidirect
223. #13093986C2×C4semidirect
228. C4×C22⋊D47C2×C4semidirect
293. C22⋊C4×D47C2×C4semidirect
343. #123×C47C2×C4semidirect
799. #2359D47semidirect
860. C2×#117C2×D47semidirect
883. #389C2×D47semidirect
918. #387C2×D47semidirect
919. #387C2×D47semidirect
955. #385C2×D47semidirect
975. C4×C4⋊C4C2×D47semidirect
985. C4×C22⋊C4C2×D47semidirect
989. C2×#95C2×D47semidirect
990. C47#34424semidirect
1021. #123C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897092
#202465612
#202465362
#202465352
#202464622
#202464602
#202463852
#202463712
#202463702
#202463662
#202463652
#202463182
#202463122
#202462972
#202462952
#202461702
#202461682
#202461652
#202461622
#202461172
#202460912
#202460902
#202460852
#202460812
#202460752
#202459992
C4×#130940042
C4×#130939972
#388×D472
C47×#23592
#3442447