Finite Group Databasebeta

← #26382082

Subgroups — #26382082

Order 12032.

2544 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689864C211yesmaximal, characteristic
2#20246528C211yesmaximal, characteristic, complemented
3#20246528C211yesmaximal, characteristic, complemented
4#20246528C211yesmaximal, characteristic, complemented
5#20246517C211yesmaximal, characteristic, complemented
6#20246508C211yesmaximal, characteristic, complemented
7#20246452C211yesmaximal, characteristic, complemented
8#20246439C211yesmaximal, characteristic, complemented
9#20246434C211yesmaximal, characteristic, complemented
10#20246427C211yesmaximal, characteristic, complemented
11#20246425C211yesmaximal, characteristic, complemented
12#20246407C211yesmaximal, characteristic, complemented
13#20246406C211yesmaximal, characteristic, complemented
14#20246387C211yesmaximal, characteristic, complemented
15#20246373C211yesmaximal, characteristic, complemented
16#20246181C211yesmaximal, characteristic, complemented
17#20246172C211yesmaximal, characteristic, complemented
18#20246167C211yesmaximal, characteristic, complemented
19#20246163C211yesmaximal, characteristic, complemented
20#20246152C211yesmaximal, characteristic, complemented
21#20246151C211yesmaximal, characteristic, complemented
22#20246113C211yesmaximal, characteristic, complemented
23#20246092C211yesmaximal, characteristic, complemented
24#20246087C211yesmaximal, characteristic, complemented
25#20246082C211yesmaximal, characteristic, complemented
26#20246076C211yesmaximal, characteristic, complemented
27#20246061C211yesmaximal, characteristic, complemented
28C4×#13093994C211yesmaximal, characteristic, complemented
29C4×#13093994C211yesmaximal, characteristic, complemented
30#20245889C211yesmaximal, characteristic, complemented
31C47×#2373C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689864C4116yescomplemented
34C2×#13094021C2211yescharacteristic
35C2×#13094018C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094009C2211yescharacteristic
39C2×#13093999C2211yescharacteristic
40C2×#13093999C2211yescharacteristic
41C2×#13093999C2211yescharacteristic
42C2×#13093997C2211yescharacteristic
43C2×#13093997C2211yescharacteristic
44C2×#13093997C2211yescharacteristic
45C2×#13093994C2211yescharacteristic
46C2×#13093994C2211yescharacteristic
47C2×#13093994C2211yescharacteristic
48C2×C4×D188C2211yescharacteristic
49C2×C4×D188C2211yescharacteristic
50C2×C4×D188C2211yescharacteristic
51C2×C4×D188C2211yescharacteristic
52C2×C4×D188C2211yescharacteristic, complemented
53C2×C4×D188C2211yescharacteristic, complemented
54C2×#13093986C2211yescharacteristic
55C2×#13093986C2211yescharacteristic
56C2×#13093986C2211yescharacteristic, complemented
57C2×C4×C22⋊D47C2211yescharacteristic
58C2×C4×C22⋊D47C2211yescharacteristic
59C2×(C22⋊D47)⋊C4C2211yescharacteristic
60C2×#13093982C2211yescharacteristic, complemented
61C2×#13093981C2211yescharacteristic, complemented
62C2×C4⋊C4×D47C2211yescharacteristic, complemented
63#15689025C2211yescharacteristic
64#15689025C2211yescharacteristic
65#15689025C2211yescharacteristic
66#15689025C2211yescharacteristic, complemented
67#15689025C2211yescharacteristic, complemented
68#15689024C2211yescharacteristic
69#15689024C2211yescharacteristic
70#15689024C2211yescharacteristic
71#15689024C2211yescharacteristic, complemented
72#15689023C2211yescharacteristic
73#15689023C2211yescharacteristic
74#15689023C2211yescharacteristic
75#15689022C2211yescharacteristic, complemented
76#15689022C2211yescharacteristic, complemented
77#15689020C2211yescharacteristic, complemented
78#15689020C2211yescharacteristic, complemented
79#15689018C2211yescharacteristic, complemented
80#15689016C2211yescharacteristic
81#15689016C2211yescharacteristic
82#15689016C2211yescharacteristic
83#15689015C2211yescharacteristic
84#15689015C2211yescharacteristic
85#15689015C2211yescharacteristic
86#15689014C2211yescharacteristic
87#15689014C2211yescharacteristic
88#15689014C2211yescharacteristic
89#15689014C2211yescharacteristic, complemented
90#15689014C2211yescharacteristic, complemented
91#15689014C2211yescharacteristic, complemented
92#15689013C2211yescharacteristic
93#15689013C2211yescharacteristic
94#15689013C2211yescharacteristic
95#15689013C2211yescharacteristic, complemented
96#15689013C2211yescharacteristic, complemented
97#15689013C2211yescharacteristic, complemented
98#15689012C2211yescharacteristic
99#15689012C2211yescharacteristic
100#15689012C2211yescharacteristic
101#15689010C2211yescharacteristic, complemented
102#15689010C2211yescharacteristic, complemented
103#15689009C2211yescharacteristic, complemented
104#15689009C2211yescharacteristic, complemented
105#15689009C2211yescharacteristic, complemented
106#15689007C2211yescharacteristic, complemented
107#15689007C2211yescharacteristic, complemented
108#15689005C2211yescharacteristic, complemented
109#15689004C2211yescharacteristic, complemented
110#15689002C2211yescharacteristic
111#15689001C2211yescharacteristic
112#15689001C2211yescharacteristic
113#15689001C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689001C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689001C2211yescharacteristic
120#15689001C2211yescharacteristic
121#15689001C2211yescharacteristic
122#15689001C2211yescharacteristic
123#15689001C2211yescharacteristic, complemented
124#15689001C2211yescharacteristic, complemented
125#15689001C2211yescharacteristic, complemented
126#15689001C2211yescharacteristic, complemented
127#15689001C2211yescharacteristic, complemented
128#15689001C2211yescharacteristic, complemented
129#15689000C2211yescharacteristic
130#15689000C2211yescharacteristic
131#15688999C2211yescharacteristic
132#15688999C2211yescharacteristic
133#15688999C2211yescharacteristic
134#15688998C2211yescharacteristic
135#15688998C2211yescharacteristic
136#15688997C2211yescharacteristic
137#15688997C2211yescharacteristic
138#15688997C2211yescharacteristic
139#15688997C2211yescharacteristic
140#15688997C2211yescharacteristic, complemented
141#15688997C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688994C2211yescharacteristic
144#15688994C2211yescharacteristic
145#15688989C2211yescharacteristic, complemented
146#15688985C2211yescharacteristic, complemented
147#15688982C2211yescharacteristic, complemented
148#15688980C2211yescharacteristic, complemented
149#15688978C2211yescharacteristic
150#15688978C2211yescharacteristic
151#15688978C2211yescharacteristic
152C4⋊C4×Dic47C2211yescharacteristic, complemented
153C4×Dic47⋊C4C2211yescharacteristic, complemented
154C4×Dic47⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic47C2211yescharacteristic, complemented
156#15688974C2211yescharacteristic, complemented
157C22⋊C4×Dic47C2211yescharacteristic
158C4×(C2×D47)⋊C4C2211yescharacteristic
159C4×(C2×D47)⋊C4C2211yescharacteristic
160C4×(C2×D47)⋊C4C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic, complemented
167#15688970C2211yescharacteristic, complemented
168#15688970C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic, complemented
171#95×D47C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173C2×#126×C47C2211yescharacteristic
174C47×#389C2211yescharacteristic, complemented
175C47×#388C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#387C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#385C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic, complemented
183C4×C4⋊C4×C47C2211yescharacteristic, complemented
184C4×C4⋊C4×C47C2211yescharacteristic, complemented
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C47×#376C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C22×C4×D47—42no—
203C22×C4×D47—42no—
204C22×C4×D47—42no—
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218#13094021C2×C418yescomplemented
219#13094018C2×C418yescomplemented
220#13094009C2×C418yescomplemented
221#13094009C2×C418yescomplemented
222#13094009C2×C418yescomplemented
223#13093999C2×C418yescomplemented
224#13093999C2×C418yescomplemented
225#13093999C2×C418yescomplemented
226#13093997C2×C418yescomplemented
227#13093997C2×C418yescomplemented
228#13093997C2×C418yescomplemented
229#13093994C2×C418yescomplemented
230#13093994C2×C418yescomplemented
231#13093994C2×C418yescomplemented
232C4×D188—42no—
233C4×D188—42no—
234C4×D188—42no—
235C4×D188—42no—
236C4×D188—42no—
237C4×D188—42no—
238#13093986—42no—
239#13093986—42no—
240#13093986—42no—
241C4×C22⋊D47—42no—
242C4×C22⋊D47—42no—
243(C22⋊D47)⋊C4—42no—
244#13093982—42no—
245#13093981—42no—
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C4⋊C4×D47—42no—
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
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×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
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
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341#126×C47C2×C418yescomplemented
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357C2×C42×C47C2311yescharacteristic
358C2×C42×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×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
377C23×D47—41no—
378C23×D47—41no—
379C23×D47—41no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47C22×C414yes—
384C23×D47C2411yescharacteristic
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C22×C4×C47—22no—
390C22×C4×C47—22no—
391C22×C4×C47—41no—
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C2×C22⋊D47—41no—
407C2×C22⋊D47—41no—
408C2×C22⋊D47—41no—
409C2×C22⋊D47—41no—
410C2×C22⋊D47—41no—
411C2×C22⋊D47—41no—
412C2×C22⋊D47C22×C414yes—
413C2×C22⋊D47C22×C414yes—
414C2×C22⋊D47C22×C414yes—
415C22×Dic47—22no—
416C22×Dic47—41no—
417C22×Dic47—41no—
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C2×D188—41no—
430C2×D188—41no—
431C2×D188—41no—
432C2×D188—41no—
433C2×D188—41no—
434C2×D188—41no—
435C2×D188—41no—
436C2×D188—41no—
437C2×D188—41no—
438C2×D188—41no—
439C2×D188—41no—
440C2×D188—41no—
441C2×D188—41no—
442C2×D188—41no—
443C2×D188—41no—
444C2×D188—41no—
445C2×D188—41no—
446C2×D188—41no—
447C2×D188C22×C414yes—
448C2×D188C22×C414yes—
449C2×D188C22×C414yes—
450C2×D188C22×C414yes—
451C2×D188C22×C414yes—
452C2×D188C22×C414yes—
453C2×D188C22×C414yescomplemented
454C2×D188C22×C414yescomplemented
455C2×D188C22×C414yescomplemented
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
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—416no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47—41no—
484C2×C4×D47—41no—
485C2×C4×D47—41no—
486C2×C4×D47—41no—
487C2×C4×D47—41no—
488C2×C4×D47—41no—
489C2×C4×D47—41no—
490C2×C4×D47—41no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47C22×C414yescomplemented
494C2×C4×D47C22×C414yescomplemented
495C2×C4×D47C22×C414yescomplemented
496C4⋊C4×C47—22no—
497C4⋊C4×C47—22no—
498C4⋊C4×C47—41no—
499C4⋊C4×C47—41no—
500C4⋊C4×C47—41no—
501C4⋊C4×C47C22×C414yescomplemented
502C4⋊C4×C47C22×C414yescomplemented
503C4⋊C4×C47C22×C414yescomplemented
504C22⋊C4×C47—41no—
505C22⋊C4×C47—41no—
506C22⋊C4×C47—41no—
507C22⋊C4×C47C22×C414yes—
508C22⋊C4×C47C22×C414yes—
509C22⋊C4×C47C22×C414yes—
510C42×C47—22no—
511C42×C47—22no—
512C42×C47—41no—
513C42×C47—41no—
514C42×C47—41no—
515C42×C47—41no—
516C42×C47—41no—
517C42×C47C22×C414yescomplemented
518C22⋊Dic47—41no—
519C22⋊Dic47—41no—
520C22⋊Dic47—41no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4C22×C414yes—
552(C2×D47)⋊C4C22×C414yes—
553(C2×D47)⋊C4C22×C414yes—
554(C2×D47)⋊C4C22×C414yes—
555(C2×D47)⋊C4C22×C414yes—
556(C2×D47)⋊C4C22×C414yes—
557(C2×D47)⋊C4C22×C414yescomplemented
558(C2×D47)⋊C4C22×C414yescomplemented
559(C2×D47)⋊C4C22×C414yescomplemented
560C4⋊Dic47—22no—
561C4⋊Dic47—22no—
562C4⋊Dic47—41no—
563C4⋊Dic47—41no—
564C4⋊Dic47—41no—
565C4⋊Dic47—41no—
566C4⋊Dic47—41no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—41no—
570Dic47⋊C4—41no—
571Dic47⋊C4—41no—
572Dic47⋊C4—41no—
573Dic47⋊C4C22×C414yescomplemented
574Dic47⋊C4C22×C414yescomplemented
575Dic47⋊C4C22×C414yescomplemented
576C4×Dic47—22no—
577C4×Dic47—41no—
578C4×Dic47—41no—
579C4×Dic47—41no—
580C4×Dic47—41no—
581C4×Dic47—41no—
582C4×Dic47—41no—
583C4×Dic47—41no—
584C4×Dic47—41no—
585C4×Dic47—41no—
586C4×Dic47—41no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47C23×C412yes—
594C23×C47C2511yescharacteristic
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—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—44no—
626C22×D47—44no—
627C22×D47—44no—
628C22×D47—44no—
629C22×D47—44no—
630C22×D47—44no—
631C22×D47—44no—
632C22×D47C23×C412yes—
633C22×D47C23×C412yes—
634C22×D47C23×C412yes—
635C22×D47C23×C412yes—
636C22×D47C23×C412yes—
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—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—44no—
672C2×C4×C47C23×C412yes—
673C2×C4×C47C23×C412yes—
674C2×C4×C47C23×C412yes—
675C2×C4×C47C23×C412yes—
676C2×C4×C47C23×C412yes—
677C2×C4×C47C23×C412yes—
678C2×C4×C47H(5,𝔽2)12yes—
679C2×C4×C47H(5,𝔽2)12yes—
680C22⋊D47—44no—
681C22⋊D47—44no—
682C22⋊D47—44no—
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—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—44no—
713C2×Dic47C23×C412yes—
714C2×Dic47C23×C412yes—
715C2×Dic47C23×C412yes—
716C2×Dic47H(5,𝔽2)12yes—
717D188—44no—
718D188—44no—
719D188—44no—
720D188—44no—
721D188—44no—
722D188—44no—
723D188—44no—
724D188—44no—
725D188—44no—
726C4×D47—44no—
727C4×D47—44no—
728C4×D47—44no—
729C4×D47—44no—
730C4×D47—44no—
731C4×D47—44no—
732C4×D47—44no—
733C4×D47—82no—
734C4×D47—82no—
735C4×D47—82no—
736C4×D47—82no—
737C4×D47—82no—
738C4×D47—82no—
739#34511—471nomaximal, Sylow
740C22×C47—22no—
741C22×C47—22no—
742C22×C47—22no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47C24×C411yescharacteristic
748C22×C47C2×H(5,𝔽2)11yescharacteristic
749C22×C47C2×H(5,𝔽2)11yescharacteristic
750C22×C47C2×H(5,𝔽2)11yescharacteristic
751C22×C47#58511yescharacteristic
752C22×C47#58511yescharacteristic
753C22×C47#58511yescharacteristic
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—22no—
757C2×D47—22no—
758C2×D47—22no—
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—22no—
764C2×D47—22no—
765C2×D47—22no—
766C2×D47—22no—
767C2×D47—22no—
768C2×D47—22no—
769C2×D47—416no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—41no—
780C2×D47—41no—
781C2×D47—41no—
782C2×D47—41no—
783C2×D47—41no—
784C2×D47—41no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C4×C47—22no—
791C4×C47—22no—
792C4×C47—22no—
793C4×C47—22no—
794C4×C47—22no—
795C4×C47—22no—
796C4×C47—22no—
797C4×C47—22no—
798C4×C47—41no—
799C4×C47—41no—
800C4×C47—41no—
801C4×C47—41no—
802C4×C47—41no—
803C4×C47—41no—
804Dic47—22no—
805Dic47—22no—
806Dic47—22no—
807Dic47—22no—
808Dic47—41no—
809Dic47—41no—
810Dic47—41no—
811Dic47—41no—
812Dic47—41no—
813Dic47—41no—
814Dic47—41no—
815C2×#560—471no—
816#2375—471no—
817#2375—471no—
818#2375—471no—
819#2374—471no—
820#2373—471no—
821#2373D4711yescharacteristic, complemented
822#2366—471no—
823#2364—471no—
824#2364—471no—
825#2363—471no—
826#2363—471no—
827#2361—471no—
828#2361—471no—
829#2359—471no—
830#2359—471no—
831#2335—471no—
832#2335—471no—
833#2334—471no—
834#2334—471no—
835#2333—471no—
836#2333—471no—
837#2328—471no—
838#2325—471no—
839#2325—471no—
840#2324—471no—
841#2324—471no—
842#2322—471no—
843C4×#120—471no—
844C4×#120—471no—
845C4×#120—471no—
846C2×C47—42no—
847C2×C47C4×H(5,𝔽2)11yescharacteristic
848C2×C47C4×H(5,𝔽2)11yescharacteristic
849C2×C47C4×H(5,𝔽2)11yescharacteristic
850C2×C47#353211yescharacteristic
851C2×C47#353911yescharacteristic
852C2×C47#353911yescharacteristic
853C2×C47#354011yescharacteristic
854D47—42no—
855D47—42no—
856D47—42no—
857D47—42no—
858D47—42no—
859C24×C4—471no—
860#560—4716no—
861C2×#127—471no—
862C2×#126—471no—
863C2×#126C2×D4711yescharacteristic
864C2×#123—471no—
865C2×#123—471no—
866C2×#123—471no—
867C2×#121—471no—
868C2×#121—471no—
869C2×#121—471no—
870C2×#121—471no—
871C2×#121—471no—
872C2×#121—471no—
873C2×#120—471no—
874C2×#120—471no—
875C2×#120—471no—
876C2×C4×D4—471no—
877C2×C4×D4—471no—
878C2×C4×D4—471no—
879C2×C4×D4—471no—
880C2×C4×D4—471no—
881C2×C4×D4—471no—
882C2×C4×D4—471no—
883C2×C4×D4—471no—
884C2×C4×D4—471no—
885C2×C4×D4—471no—
886C2×C4×D4—471no—
887C2×C4×D4—471no—
888C2×#117—471no—
889C2×#117—471no—
890C22×C4⋊C4—471no—
891#390—471no—
892#390—471no—
893#390—471no—
894#390—471no—
895#390—471no—
896#390—471no—
897#390—471no—
898#390—471no—
899#390—471no—
900#390—471no—
901#390—471no—
902#390—471no—
903#389—471no—
904#389—471no—
905#389—471no—
906#389—471no—
907#389—471no—
908#389C2×D4711yescharacteristic, complemented
909#388—471no—
910#388—471no—
911#388—471no—
912#388—471no—
913#388—471no—
914#388—471no—
915#388—471no—
916#388—471no—
917#388—471no—
918#388—471no—
919#388—471no—
920#388—471no—
921#388—471no—
922#388—471no—
923#388—471no—
924#388—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388C2×D4711yescharacteristic
931#388C2×D4711yescharacteristic
932#388C2×D4711yescharacteristic
933#387—471no—
934#387—471no—
935#387—471no—
936#387—471no—
937#387—471no—
938#387—471no—
939#387—471no—
940#387—471no—
941#387—471no—
942#387C2×D4711yescharacteristic, complemented
943#387C2×D4711yescharacteristic, complemented
944#387C2×D4711yescharacteristic, complemented
945#386—471no—
946#386—471no—
947#386—471no—
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#386—471no—
967#386—471no—
968#386—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385C2×D4711yescharacteristic
981#382—471no—
982#381—471no—
983#380—471no—
984#380—471no—
985#379—471no—
986#379—471no—
987#379—471no—
988C4×C4⋊C4—471no—
989C4×C4⋊C4—471no—
990C4×C4⋊C4—471no—
991C4×C4⋊C4—471no—
992C4×C4⋊C4—471no—
993C4×C4⋊C4C2×D4711yescharacteristic, complemented
994C4×C4⋊C4C2×D4711yescharacteristic, complemented
995C4×C4⋊C4C2×D4711yescharacteristic, complemented
996C4×C22⋊C4—471no—
997C4×C22⋊C4—471no—
998C4×C22⋊C4—471no—
999C4×C22⋊C4—471no—
1000C4×C22⋊C4—471no—
1001C4×C22⋊C4—471no—
1002C4×C22⋊C4—471no—
1003C4×C22⋊C4—471no—
1004C4×C22⋊C4—471no—
1005C4×C22⋊C4—471no—
1006C4×C22⋊C4—471no—
1007C4×C22⋊C4—471no—
1008C4×C22⋊C4—471no—
1009C4×C22⋊C4—471no—
1010C4×C22⋊C4C2×D4711yescharacteristic
1011C4×C22⋊C4C2×D4711yescharacteristic
1012#376C2×D4711yescharacteristic, complemented
1013C2×#95—471no—
1014C2×#95—471no—
1015C47#3451111yescharacteristic, complemented, Sylow
1016C25—471no—
1017C22×D4—471no—
1018C22×D4—471no—
1019C22×D4—471no—
1020C22×D4—471no—
1021C22×D4—471no—
1022C22×D4—471no—
1023C22×D4—471no—
1024C22×D4—471no—
1025C22×D4—471no—
1026C22×D4—471no—
1027C22×D4—471no—
1028C22×D4—471no—
1029C23×C4—471no—
1030C23×C4—471no—
1031C23×C4—471no—
1032C23×C4—471no—
1033C23×C4—471no—
1034C23×C4—471no—
1035C23×C4—471no—
1036C23×C4—471no—
1037C23×C4—471no—
1038C23×C4—471no—
1039C23×C4—471no—
1040C23×C4—471no—
1041C23×C4—471no—
1042C23×C4—471no—
1043C23×C4—1882no—
1044C23×C4—1882no—
1045C23×C4—1882no—
1046C23×C4C22×D4711yescharacteristic
1047#127—478no—
1048#126—478no—
1049#126C4×D4718yescomplemented
1050#123—478no—
1051#123—478no—
1052#123—478no—
1053#121—478no—
1054#121—478no—
1055#121—478no—
1056#121—478no—
1057#121—478no—
1058#121—478no—
1059#120—478no—
1060#120—478no—
1061#120—478no—
1062C4×D4—1882no—
1063C4×D4—1882no—
1064C4×D4—1882no—
1065C4×D4—1882no—
1066C4×D4—1882no—
1067C4×D4—1882no—
1068C4×D4—1882no—
1069C4×D4—1882no—
1070C4×D4—1882no—
1071C4×D4—1882no—
1072C4×D4—1882no—
1073C4×D4—1882no—
1074#117—1882no—
1075#117—1882no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—1882no—
1093C2×C4⋊C4C22×D4711yescharacteristic
1094C2×C4⋊C4C22×D4711yescharacteristic
1095C2×C4⋊C4C22×D4711yescharacteristic
1096C2×C4⋊C4C22×D4711yescharacteristic
1097C2×C4⋊C4C22×D4711yescharacteristic
1098C2×C4⋊C4C22×D4711yescharacteristic
1099C2×C4⋊C4C22×D4711yescharacteristic
1100C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4C22×D4711yescharacteristic
1144C2×C22⋊C4C22×D4711yescharacteristic
1145C2×C22⋊C4C22×D4711yescharacteristic
1146C2×C22⋊C4C22×D4711yescharacteristic
1147C2×C22⋊C4C22×D4711yescharacteristic
1148C2×C22⋊C4C22×D4711yescharacteristic
1149C2×C42—471no—
1150C2×C42—471no—
1151C2×C42—471no—
1152C2×C42—471no—
1153C2×C42—471no—
1154C2×C42—471no—
1155C2×C42—471no—
1156C2×C42—471no—
1157C2×C42—471no—
1158C2×C42—471no—
1159C2×C42—471no—
1160C2×C42C22×D4711yescharacteristic
1161C2×C42C22×D4711yescharacteristic
1162C2×C42C22×D4711yescharacteristic
1163C2×C42C22×D4711yescharacteristic
1164C2×C42C22×D4711yescharacteristic
1165C2×C42C22×D4711yescharacteristic
1166C2×C42C22×D4711yescharacteristic
1167C2×C42C22×D4711yescharacteristic
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95C22×D4711yescharacteristic
1193#95C22×D4711yescharacteristic
1194#95C22×D4711yescharacteristic
1195#95C22×D4711yescharacteristic
1196#95C22×D4711yescharacteristic
1197#95C22×D4711yescharacteristic
1198#95C22×D4711yescharacteristic
1199#95C22×D4711yescharacteristic
1200#95C22×D4711yescharacteristic
1201#95C22×D4711yescharacteristic
1202#95C22×D4711yescharacteristic
1203#95C22×D4711yescharacteristic
1204C24—471no—
1205C24—471no—
1206C24—471no—
1207C24—471no—
1208C24—471no—
1209C24—474no—
1210C24—1881no—
1211C24—1881no—
1212C24—1881no—
1213C24—1881no—
1214C24—1881no—
1215C24—1881no—
1216C24C23×D4711yescharacteristic
1217C2×D4—474no—
1218C2×D4—474no—
1219C2×D4—474no—
1220C2×D4—474no—
1221C2×D4—474no—
1222C2×D4—474no—
1223C2×D4—474no—
1224C2×D4—474no—
1225C2×D4—474no—
1226C2×D4—474no—
1227C2×D4—474no—
1228C2×D4—474no—
1229C2×D4—1881no—
1230C2×D4—1881no—
1231C2×D4—1881no—
1232C2×D4—1881no—
1233C2×D4—1881no—
1234C2×D4—1881no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C2×D4—1881no—
1238C2×D4—1881no—
1239C2×D4—1881no—
1240C2×D4—1881no—
1241C2×D4—1881no—
1242C2×D4—1881no—
1243C2×D4—1881no—
1244C2×D4—1881no—
1245C2×D4—1881no—
1246C2×D4—1881no—
1247C2×D4—1881no—
1248C2×D4—1881no—
1249C2×D4—1881no—
1250C2×D4—1881no—
1251C2×D4—1881no—
1252C2×D4—1881no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—41no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—474no—
1261C22×C4—474no—
1262C22×C4—474no—
1263C22×C4—471no—
1264C22×C4—471no—
1265C22×C4—471no—
1266C22×C4—471no—
1267C22×C4—471no—
1268C22×C4—471no—
1269C22×C4—471no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—942no—
1273C22×C4—942no—
1274C22×C4—942no—
1275C22×C4—942no—
1276C22×C4—942no—
1277C22×C4—942no—
1278C22×C4—942no—
1279C22×C4—942no—
1280C22×C4—1881no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4—1881no—
1294C22×C4—1881no—
1295C22×C4—1881no—
1296C22×C4—1881no—
1297C22×C4—1881no—
1298C22×C4—1881no—
1299C22×C4—1881no—
1300C22×C4—1881no—
1301C22×C4—1881no—
1302C22×C4—1881no—
1303C22×C4—1881no—
1304C22×C4—1881no—
1305C22×C4—1881no—
1306C22×C4—1881no—
1307C22×C4—18816no—
1308C22×C4—1881no—
1309C22×C4—1881no—
1310C22×C4C23×D4711yescharacteristic
1311C22×C4C23×D4711yescharacteristic
1312C22×C4C23×D4711yescharacteristic
1313C22×C4C23×D4711yescharacteristic
1314C22×C4C23×D4711yescharacteristic
1315C22×C4C23×D4711yescharacteristic
1316C22×C4C23×D4711yescharacteristic
1317C22×C4C23×D4711yescharacteristic
1318C22×C4C23×D4711yescharacteristic
1319C22×C4C23×D4711yescharacteristic
1320C22×C4C23×D4711yescharacteristic
1321C22×C4C23×D4711yescharacteristic
1322C22×C4C23×D4711yescharacteristic
1323C22×C4C23×D4711yescharacteristic
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—474no—
1330C4⋊C4—474no—
1331C4⋊C4—474no—
1332C4⋊C4—942no—
1333C4⋊C4—942no—
1334C4⋊C4—942no—
1335C4⋊C4—942no—
1336C4⋊C4—1881no—
1337C4⋊C4—1881no—
1338C4⋊C4—1881no—
1339C4⋊C4—1881no—
1340C4⋊C4—1881no—
1341C4⋊C4—1881no—
1342C4⋊C4—1881no—
1343C4⋊C4—1881no—
1344C4⋊C4—1881no—
1345C4⋊C4C2×C4×D4714yescomplemented
1346C4⋊C4C2×C4×D4714yescomplemented
1347C4⋊C4C2×C4×D4714yescomplemented
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—474no—
1352C22⋊C4—474no—
1353C22⋊C4—474no—
1354C22⋊C4—474no—
1355C22⋊C4—474no—
1356C22⋊C4—474no—
1357C22⋊C4—474no—
1358C22⋊C4—474no—
1359C22⋊C4—474no—
1360C22⋊C4—942no—
1361C22⋊C4—942no—
1362C22⋊C4—942no—
1363C22⋊C4—942no—
1364C22⋊C4—942no—
1365C22⋊C4—942no—
1366C22⋊C4—1881no—
1367C22⋊C4—1881no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C22⋊C4—1881no—
1384C22⋊C4—1881no—
1385C22⋊C4—1881no—
1386C22⋊C4—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C22⋊C4—1881no—
1390C22⋊C4—1881no—
1391C22⋊C4—1881no—
1392C22⋊C4—1881no—
1393C22⋊C4C2×C4×D4714yes—
1394C22⋊C4C2×C4×D4714yes—
1395C22⋊C4C2×C4×D4714yes—
1396C42—22no—
1397C42—22no—
1398C42—41no—
1399C42—41no—
1400C42—41no—
1401C42—41no—
1402C42—41no—
1403C42—942no—
1404C42—1881no—
1405C42—1881no—
1406C42—1881no—
1407C42—1881no—
1408C42—1881no—
1409C42—1881no—
1410C42—1881no—
1411C42—1881no—
1412C42—1881no—
1413C42—1881no—
1414C42C2×C4×D4714yescomplemented
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—472no—
1422C23—472no—
1423C23—472no—
1424C23—472no—
1425C23—472no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—941no—
1433C23—941no—
1434C23—941no—
1435C23—941no—
1436C23—941no—
1437C23—941no—
1438C23—941no—
1439C23—941no—
1440C23—941no—
1441C23—941no—
1442C23—941no—
1443C23—941no—
1444C23—941no—
1445C23—941no—
1446C23—941no—
1447C23—941no—
1448C23—941no—
1449C23—941no—
1450C23—941no—
1451C23—941no—
1452C23—941no—
1453C23—941no—
1454C23—941no—
1455C23—941no—
1456C23—1884no—
1457C23—1884no—
1458C23—1884no—
1459C23—1884no—
1460C23—1884no—
1461C23—1884no—
1462C23—1884no—
1463C23C22×C4×D4712yes—
1464C23C24×D4711yescharacteristic
1465D4—1884no—
1466D4—1884no—
1467D4—1884no—
1468D4—1884no—
1469D4—1884no—
1470D4—1884no—
1471D4—1884no—
1472D4—1884no—
1473D4—1884no—
1474D4—1884no—
1475D4—1884no—
1476D4—1884no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—44no—
1512C2×C4—472no—
1513C2×C4—472no—
1514C2×C4—472no—
1515C2×C4—472no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—3762no—
1546C2×C4—3762no—
1547C2×C4—3762no—
1548C2×C4—3762no—
1549C2×C4—3762no—
1550C2×C4—3762no—
1551C2×C4—1884no—
1552C2×C4—1884no—
1553C2×C4—1884no—
1554C2×C4—1884no—
1555C2×C4—1884no—
1556C2×C4—1884no—
1557C2×C4—1884no—
1558C2×C4—1884no—
1559C2×C4C22×C4×D4712yes—
1560C2×C4C22×C4×D4712yes—
1561C2×C4C22×C4×D4712yes—
1562C2×C4C22×C4×D4712yes—
1563C2×C4C22×C4×D4712yes—
1564C2×C4C22×C4×D4712yes—
1565C2×C4#1309407012yes—
1566C2×C4#1309407012yes—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—942no—
1575C22—942no—
1576C22—942no—
1577C22—942no—
1578C22—942no—
1579C22—942no—
1580C22—942no—
1581C22—942no—
1582C22—942no—
1583C22—942no—
1584C22—942no—
1585C22—942no—
1586C22—942no—
1587C22—942no—
1588C22—942no—
1589C22—18816no—
1590C22—1881no—
1591C22—1881no—
1592C22—1881no—
1593C22—1881no—
1594C22—1881no—
1595C22—1881no—
1596C22—1881no—
1597C22—1881no—
1598C22—1881no—
1599C22—1881no—
1600C22—1881no—
1601C22—1881no—
1602C22—1881no—
1603C22—1881no—
1604C22—1881no—
1605C22—1881no—
1606C22—1881no—
1607C22—1881no—
1608C22—1881no—
1609C22—1881no—
1610C22C23×C4×D4711yescharacteristic
1611C22H(5,𝔽2)×D4711yescharacteristic
1612C22C2×#1309407011yescharacteristic
1613C22C2×#1309407011yescharacteristic
1614C22#1568995911yescharacteristic
1615C22#1568995911yescharacteristic
1616C22#1568996011yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—22no—
1624C4—22no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—942no—
1632C4—942no—
1633C4—942no—
1634C4—942no—
1635C4—1881no—
1636C4—1881no—
1637C4—1881no—
1638C4—1881no—
1639C4—1881no—
1640C4—1881no—
1641C4—1881no—
1642C2—42no—
1643C2—1882no—
1644C2—1882no—
1645C2—1882no—
1646C2—1882no—
1647C2—1882no—
1648C2#2025659411yescharacteristic
1649C2C4×#1309407011yescharacteristic
1650C2C4×#1309407011yescharacteristic
1651C2#2025754411yescharacteristic
1652C2#2025763811yescharacteristic
1653C2#2025764911yescharacteristic
1654C2#2025766411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2373C2
socle, cosocleC23×C47C25
prime radicalC2×#15689864C2
hypercenter#2373D47
hypocenterC47#34511
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. #20246528C2semidirect
3. #20246528C2semidirect
4. #20246528C2semidirect
5. #20246517C2semidirect
6. #20246508C2semidirect
7. #20246452C2semidirect
8. #20246439C2semidirect
9. #20246434C2semidirect
10. #20246427C2semidirect
11. #20246425C2semidirect
12. #20246407C2semidirect
13. #20246406C2semidirect
14. #20246387C2semidirect
15. #20246373C2semidirect
16. #20246181C2semidirect
17. #20246172C2semidirect
18. #20246167C2semidirect
19. #20246163C2semidirect
20. #20246152C2semidirect
21. #20246151C2semidirect
22. #20246113C2semidirect
23. #20246092C2semidirect
24. #20246087C2semidirect
25. #20246082C2semidirect
26. #20246076C2semidirect
27. #20246061C2semidirect
28. C4×#13093994C2semidirect
29. C4×#13093994C2semidirect
30. #20245889C2semidirect
31. C47×#2373C2semidirect
33. #15689864C4semidirect
52. C2×C4×D188C22semidirect
53. C2×C4×D188C22semidirect
56. C2×#13093986C22semidirect
60. C2×#13093982C22semidirect
61. C2×#13093981C22semidirect
62. C2×C4⋊C4×D47C22semidirect
66. #15689025C22semidirect
67. #15689025C22semidirect
71. #15689024C22semidirect
75. #15689022C22semidirect
76. #15689022C22semidirect
77. #15689020C22semidirect
78. #15689020C22semidirect
79. #15689018C22semidirect
89. #15689014C22semidirect
90. #15689014C22semidirect
91. #15689014C22semidirect
95. #15689013C22semidirect
96. #15689013C22semidirect
97. #15689013C22semidirect
101. #15689010C22semidirect
102. #15689010C22semidirect
103. #15689009C22semidirect
104. #15689009C22semidirect
105. #15689009C22semidirect
106. #15689007C22semidirect
107. #15689007C22semidirect
108. #15689005C22semidirect
109. #15689004C22semidirect
123. #15689001C22semidirect
124. #15689001C22semidirect
125. #15689001C22semidirect
126. #15689001C22semidirect
127. #15689001C22semidirect
128. #15689001C22semidirect
140. #15688997C22semidirect
141. #15688997C22semidirect
142. #15688997C22semidirect
145. #15688989C22semidirect
146. #15688985C22semidirect
147. #15688982C22semidirect
148. #15688980C22semidirect
152. C4⋊C4×Dic47C22semidirect
153. C4×Dic47⋊C4C22semidirect
154. C4×Dic47⋊C4C22semidirect
155. C4×C4⋊Dic47C22semidirect
156. #15688974C22semidirect
162. C4×(C2×D47)⋊C4C22semidirect
163. C4×(C2×D47)⋊C4C22semidirect
166. #15688970C22semidirect
167. #15688970C22semidirect
168. #15688970C22semidirect
169. #15688970C22semidirect
170. #15688970C22semidirect
171. #95×D47C22semidirect
172. #95×D47C22semidirect
174. C47×#389C22semidirect
178. C47×#387C22semidirect
179. C47×#387C22semidirect
180. C47×#387C22semidirect
182. C4×C4⋊C4×C47C22semidirect
183. C4×C4⋊C4×C47C22semidirect
184. C4×C4⋊C4×C47C22semidirect
187. C47×#376C22semidirect
218. #13094021C2×C4semidirect
219. #13094018C2×C4semidirect
220. #13094009C2×C4semidirect
221. #13094009C2×C4semidirect
222. #13094009C2×C4semidirect
223. #13093999C2×C4semidirect
224. #13093999C2×C4semidirect
225. #13093999C2×C4semidirect
226. #13093997C2×C4semidirect
227. #13093997C2×C4semidirect
228. #13093997C2×C4semidirect
229. #13093994C2×C4semidirect
230. #13093994C2×C4semidirect
231. #13093994C2×C4semidirect
341. #126×C47C2×C4semidirect
453. C2×D188C22×C4semidirect
454. C2×D188C22×C4semidirect
455. C2×D188C22×C4semidirect
493. C2×C4×D47C22×C4semidirect
494. C2×C4×D47C22×C4semidirect
495. C2×C4×D47C22×C4semidirect
501. C4⋊C4×C47C22×C4semidirect
502. C4⋊C4×C47C22×C4semidirect
503. C4⋊C4×C47C22×C4semidirect
517. C42×C47C22×C4semidirect
557. (C2×D47)⋊C4C22×C4semidirect
558. (C2×D47)⋊C4C22×C4semidirect
559. (C2×D47)⋊C4C22×C4semidirect
573. Dic47⋊C4C22×C4semidirect
574. Dic47⋊C4C22×C4semidirect
575. Dic47⋊C4C22×C4semidirect
821. #2373D47semidirect
908. #389C2×D47semidirect
942. #387C2×D47semidirect
943. #387C2×D47semidirect
944. #387C2×D47semidirect
993. C4×C4⋊C4C2×D47semidirect
994. C4×C4⋊C4C2×D47semidirect
995. C4×C4⋊C4C2×D47semidirect
1012. #376C2×D47semidirect
1015. C47#34511semidirect
1049. #126C4×D47semidirect
1345. C4⋊C4C2×C4×D47semidirect
1346. C4⋊C4C2×C4×D47semidirect
1347. C4⋊C4C2×C4×D47semidirect
1414. C42C2×C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156898642
#202465282
#202465172
#202465082
#202464522
#202464392
#202464342
#202464272
#202464252
#202464072
#202464062
#202463872
#202463732
#202461812
#202461722
#202461672
#202461632
#202461522
#202461512
#202461132
#202460922
#202460872
#202460822
#202460762
#202460612
C4×#130939942
#202458892
C47×#23732
#3451147