Finite Group Databasebeta

← #26387761

Subgroups — #26387761

Order 12032.

2570 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689650C211yesmaximal, characteristic, complemented
2C2×C4×#10625352C211yesmaximal, characteristic, complemented
3#20249002C211yesmaximal, characteristic, complemented
4#20249000C211yesmaximal, characteristic, complemented
5#20248994C211yesmaximal, characteristic, complemented
6#20248992C211yesmaximal, characteristic, complemented
7#20248990C211yesmaximal, characteristic, complemented
8#20248984C211yesmaximal, characteristic, complemented
9#20248982C211yesmaximal, characteristic, complemented
10#20248586C211yesmaximal, characteristic, complemented
11#20248577C211yesmaximal, characteristic, complemented
12#20248366C211yesmaximal, characteristic, complemented
13#20248357C211yesmaximal, characteristic, complemented
14#20247845C211yesmaximal, characteristic, complemented
15#20247836C211yesmaximal, characteristic, complemented
16#20247011C211yesmaximal, characteristic, complemented
17#20247002C211yesmaximal, characteristic
18#20246631C211yesmaximal, characteristic, complemented
19#20246631C211yesmaximal, characteristic, complemented
20#20246625C211yesmaximal, characteristic, complemented
21#20246623C211yesmaximal, characteristic, complemented
22#20245959C211yesmaximal, characteristic, complemented
23#20245952C211yesmaximal, characteristic, complemented
24#20245929C211yesmaximal, characteristic, complemented
25#20245929C211yesmaximal, characteristic, complemented
26#20245830C211yesmaximal, characteristic, complemented
27#20245828C211yesmaximal, characteristic, complemented
28#20245826C211yesmaximal, characteristic, complemented
29#20245824C211yesmaximal, characteristic, complemented
30C4×#13093980C211yesmaximal, characteristic, complemented
31C47×#2602C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C2×#13094023C2211yescharacteristic
34C2×#13094020C2211yescharacteristic
35#15689650—28no—
36C2×#13094019C2211yescharacteristic
37C2×#13094017C2211yescharacteristic
38C2×#13094014C2211yescharacteristic
39C2×#13094010C2211yescharacteristic
40C2×#13094010C2211yescharacteristic
41C2×#13094010C2211yescharacteristic
42C2×#13094007C2211yescharacteristic
43C2×#13094001C2211yescharacteristic
44C2×#13093996C2211yescharacteristic
45C4×#10625352—28no—
46C2×C4×Dic94C2211yescharacteristic
47C2×#13093989C2211yescharacteristic
48C2×#13093989C2211yescharacteristic
49C2×D4×Dic47C2211yescharacteristic
50C2×D4×Dic47C2211yescharacteristic
51C2×D4×Dic47C2211yescharacteristic
52C2×#13093986C2211yescharacteristic
53C2×C4×C22⋊D47C2211yescharacteristic
54C2×C4×C22⋊D47C2211yescharacteristic
55C2×(C22⋊D47)⋊C4C2211yescharacteristic
56C2×(C22⋊D47)⋊C4C2211yescharacteristic
57C2×(C22⋊D47)⋊C4C2211yescharacteristic
58C2×(C22⋊D47)⋊C4C2211yescharacteristic
59C2×(C22⋊D47)⋊C4C2211yescharacteristic
60C2×(C22⋊D47)⋊C4C2211yescharacteristic
61C2×#13093982C2211yescharacteristic
62C2×#13093982C2211yescharacteristic
63C2×#13093980C2211yescharacteristic
64C2×#13093980C2211yescharacteristic
65C2×#13093980C2211yescharacteristic
66C2×#13093980C2211yescharacteristic
67C2×#13093980C2211yescharacteristic
68C22×C4×Dic47C2211yescharacteristic
69C22×C4×Dic47C2211yescharacteristic
70C2×C42×D47C2211yescharacteristic
71#15689057C2211yescharacteristic
72#15689057C2211yescharacteristic
73#15689055C2211yescharacteristic
74#15689054C2211yescharacteristic
75#15689051C2211yescharacteristic
76#15689051C2211yescharacteristic
77#15689048C2211yescharacteristic
78#15689047C2211yescharacteristic
79#15689047C2211yescharacteristic
80#15689046C2211yescharacteristic
81#15689046C2211yescharacteristic
82#15689046C2211yescharacteristic
83#15689046C2211yescharacteristic
84#15689045C2211yescharacteristic
85#15689045C2211yescharacteristic
86#15689041C2211yescharacteristic
87#15689039C2211yescharacteristic
88#15689039C2211yescharacteristic
89#15689038C2211yescharacteristic
90#15689038C2211yescharacteristic
91#15689038C2211yescharacteristic
92#15689038C2211yescharacteristic
93#15689037C2211yescharacteristic
94#15689037C2211yescharacteristic
95#15689037C2211yescharacteristic
96#15689032C2211yescharacteristic
97#15689031C2211yescharacteristic
98#15689031C2211yescharacteristic
99#15689027C2211yescharacteristic
100#15689027C2211yescharacteristic
101#15689027C2211yescharacteristic
102#15689027C2211yescharacteristic
103#15689025C2211yescharacteristic
104#15689023C2211yescharacteristic
105#15689023C2211yescharacteristic
106#15689023C2211yescharacteristic
107#15689023C2211yescharacteristic
108#15689023C2211yescharacteristic
109#15689023C2211yescharacteristic
110#15689021C2211yescharacteristic
111#15689018C2211yescharacteristic
112#15689018C2211yescharacteristic
113#15689017C2211yescharacteristic
114#15689017C2211yescharacteristic
115#15689017C2211yescharacteristic
116#15689016C2211yescharacteristic
117#15689015C2211yescharacteristic
118#15689014C2211yescharacteristic
119#15689014C2211yescharacteristic
120#15689014C2211yescharacteristic
121#15689013C2211yescharacteristic
122#15689013C2211yescharacteristic
123#15689013C2211yescharacteristic
124#15689012C2211yescharacteristic
125#15689011C2211yescharacteristic
126#15689010C2211yescharacteristic
127#15689009C2211yescharacteristic
128#15689008C2211yescharacteristic
129#15689007C2211yescharacteristic
130#15689006C2211yescharacteristic
131#15689005C2211yescharacteristic
132#15689004C2211yescharacteristic
133#15689003C2211yescharacteristic
134#15689002C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic
137#15689000C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688998C2211yescharacteristic
141#15688997C2211yescharacteristic
142#15688997C2211yescharacteristic
143#15688996C2211yescharacteristic
144#15688995C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688992C2211yescharacteristic
148#15688992C2211yescharacteristic
149#15688987C2211yescharacteristic
150#15688987C2211yescharacteristic
151C4⋊C4×Dic47C2211yescharacteristic
152C4⋊C4×Dic47C2211yescharacteristic
153C4×Dic47⋊C4C2211yescharacteristic
154C4×Dic47⋊C4C2211yescharacteristic
155#15688974C2211yescharacteristic
156#15688974C2211yescharacteristic
157#15688974C2211yescharacteristic
158#15688974C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic
160C22⋊C4×Dic47C2211yescharacteristic
161C22⋊C4×Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C22⋊C4×Dic47C2211yescharacteristic
165C4×C22⋊Dic47C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688970C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688970C2211yescharacteristic
170#15688968C2211yescharacteristic
171#15688968C2211yescharacteristic
172C42×Dic47C2211yescharacteristic
173C42×Dic47C2211yescharacteristic
174C2×#123×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C47×#397C2211yescharacteristic
177C47×#394C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#392C2211yescharacteristic
180C47×#390C2211yescharacteristic
181C47×#389C2211yescharacteristic
182C47×#388C2211yescharacteristic
183C47×#388C2211yescharacteristic
184C47×#388C2211yescharacteristic
185C47×#387C2211yescharacteristic
186C47×#386C2211yescharacteristic
187C47×#385C2211yescharacteristic
188C4×C22⋊C4×C47C2211yescharacteristic
189C2×#10625352—24no—
190C2×#10625352—24no—
191C2×#10625352—24no—
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210#13094023—24no—
211#13094020—24no—
212#13094019—24no—
213#13094017—24no—
214#13094014—24no—
215#13094010—24no—
216#13094010—24no—
217#13094010—24no—
218#13094007—24no—
219#13094001—24no—
220#13093996—24no—
221C4×Dic94—24no—
222#13093989—24no—
223#13093989—24no—
224D4×Dic47—24no—
225D4×Dic47—24no—
226D4×Dic47—24no—
227#13093986—24no—
228C4×C22⋊D47—24no—
229C4×C22⋊D47—24no—
230(C22⋊D47)⋊C4—24no—
231(C22⋊D47)⋊C4—24no—
232(C22⋊D47)⋊C4—24no—
233(C22⋊D47)⋊C4—24no—
234(C22⋊D47)⋊C4—24no—
235(C22⋊D47)⋊C4—24no—
236#13093982—24no—
237#13093982—24no—
238#13093980—24no—
239#13093980—24no—
240#13093980—24no—
241#13093980—24no—
242#13093980—24no—
243C2×C4⋊Dic47C2311yescharacteristic
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
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
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
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×C4×Dic47—24no—
301C2×C4×Dic47D418yescomplemented
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
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
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C42×D47—24no—
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
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C22×D4×C47C2311yescharacteristic
349C22×D4×C47C2311yescharacteristic
350C22×D4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353#123×C47—24no—
354C4×D4×C47—24no—
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C42×C47C2311yescharacteristic
375C2×C42×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C24×C47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C23×D47C2411yescharacteristic
390C2×D4×C47—22no—
391C2×D4×C47—22no—
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—22no—
395C2×D4×C47—22no—
396C2×D4×C47—41no—
397C2×D4×C47—41no—
398C2×D4×C47—41no—
399C22×C4×C47—22no—
400C22×C4×C47—41no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47C2×D414yes—
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
416C22×C4×C47C2411yescharacteristic
417C2×C22⋊D47—22no—
418C2×C22⋊D47—22no—
419C2×C22⋊D47—22no—
420C2×C22⋊D47—22no—
421C2×C22⋊D47—22no—
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47—41no—
434C2×C22⋊D47#4114yes—
435C22×Dic47—22no—
436C22×Dic47—22no—
437C22×Dic47—22no—
438C22×Dic47—22no—
439C22×Dic47—22no—
440C22×Dic47—22no—
441C22×Dic47—22no—
442C22×Dic47—22no—
443C22×Dic47—22no—
444C22×Dic47—22no—
445C22×Dic47—22no—
446C22×Dic47—22no—
447C22×Dic47—22no—
448C22×Dic47C2×D414yes—
449C22×Dic47C2×D414yes—
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464#10625352—232no—
465C2×D188—22no—
466C2×D188—22no—
467C2×D188—41no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—22no—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×Dic94—22no—
481C2×Dic94—22no—
482C2×Dic94—22no—
483C2×Dic94—22no—
484C2×Dic94—22no—
485C2×Dic94#4114yes—
486C4⋊C4×C47—22no—
487C4⋊C4×C47—22no—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—22no—
490C4⋊C4×C47—22no—
491C4⋊C4×C47—41no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—22no—
499C22⋊C4×C47—22no—
500C22⋊C4×C47—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—22no—
503C22⋊C4×C47—41no—
504C22⋊C4×C47—41no—
505C42×C47—22no—
506C42×C47—41no—
507C42×C47—41no—
508C22⋊Dic47—22no—
509C22⋊Dic47—22no—
510C22⋊Dic47—22no—
511C22⋊Dic47—22no—
512C22⋊Dic47—22no—
513C22⋊Dic47—22no—
514C22⋊Dic47—22no—
515C22⋊Dic47—22no—
516C22⋊Dic47—22no—
517C22⋊Dic47—22no—
518C22⋊Dic47—22no—
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—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539C4⋊Dic47—22no—
540C4⋊Dic47—22no—
541C4⋊Dic47—22no—
542C4⋊Dic47—22no—
543C4⋊Dic47—22no—
544C4⋊Dic47—41no—
545Dic47⋊C4—22no—
546Dic47⋊C4—22no—
547Dic47⋊C4—22no—
548Dic47⋊C4—22no—
549Dic47⋊C4—22no—
550Dic47⋊C4—22no—
551Dic47⋊C4—22no—
552Dic47⋊C4—22no—
553Dic47⋊C4—22no—
554Dic47⋊C4—22no—
555Dic47⋊C4—22no—
556Dic47⋊C4—22no—
557Dic47⋊C4—22no—
558Dic47⋊C4—22no—
559Dic47⋊C4—22no—
560Dic47⋊C4—22no—
561Dic47⋊C4—22no—
562Dic47⋊C4—22no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565C4×Dic47—22no—
566C4×Dic47—22no—
567C4×Dic47—22no—
568C4×Dic47—22no—
569C4×Dic47—22no—
570C4×Dic47—22no—
571C4×Dic47—22no—
572C4×Dic47—22no—
573C4×Dic47—22no—
574C4×Dic47—22no—
575C4×Dic47—22no—
576C4×Dic47—22no—
577C4×Dic47—22no—
578C4×Dic47—41no—
579C4×Dic47—41no—
580C4×Dic47C2×D414yes—
581C4×Dic47C2×D414yes—
582C4×Dic47C2×D414yes—
583C4×Dic47C2×D414yes—
584C4×Dic47#4114yescomplemented
585C4×Dic47#4114yescomplemented
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47C22×D412yes—
606C23×C47C2×#4112yes—
607C23×C47C2511yescharacteristic
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×D47C2×#4112yes—
622D4×C47—28no—
623D4×C47—44no—
624D4×C47—44no—
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—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—44no—
657C2×C4×C47—44no—
658C2×C4×C47C22×D412yes—
659C2×C4×C47C22×D412yes—
660C2×C4×C47C2×#4112yes—
661C2×C4×C47C2×#4112yes—
662C2×C4×C47C2×#4112yes—
663C22⋊D47—28no—
664C22⋊D47—28no—
665C22⋊D47—44no—
666C22⋊D47—44no—
667C22⋊D47—44no—
668C22⋊D47—44no—
669C2×Dic47—28no—
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—28no—
681C2×Dic47—28no—
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—21no—
703C2×Dic47—44no—
704C2×Dic47—44no—
705C2×Dic47C22×D412yes—
706C2×Dic47C22×D412yes—
707C2×Dic47C22×D412yes—
708C2×Dic47C22×D412yes—
709C2×Dic47C2×#4112yes—
710C2×Dic47C2×#4112yes—
711C2×Dic47C2×#4112yes—
712C2×Dic47C2×#4112yes—
713C2×Dic47C2×#4112yes—
714C2×Dic47C2×#4112yes—
715C2×Dic47C2×#4112yes—
716D188—44no—
717C4×D47—28no—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—44no—
721Dic94—28no—
722Dic94—44no—
723#34910—471nomaximal, Sylow
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47C23×D411yescharacteristic
746C22×C47C22×#4111yescharacteristic
747C22×C47C22×#4111yescharacteristic
748C22×C47C22×#4111yescharacteristic
749C22×C47C22×#4111yescharacteristic
750C22×C47#58511yescharacteristic
751C22×C47#58511yescharacteristic
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—41no—
764C2×D47—41no—
765C2×D47—41no—
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—41no—
784Dic47—41no—
785Dic47—41no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47#52514yes—
791Dic47#53214yes—
792C2×#529—471no—
793C2×C4×#41—471no—
794#2602—471no—
795#2602—471no—
796#2602—471no—
797#2602D4711yescharacteristic, complemented
798#2601—471no—
799#2601—471no—
800#2601—471no—
801#2601—471no—
802#2566—471no—
803#2565—471no—
804#2545—471no—
805#2544—471no—
806#2500—471no—
807#2499—471no—
808#2432—471no—
809#2431—471no—
810#2392—471no—
811#2392—471no—
812#2392—471no—
813#2392—471no—
814C4×C4⋊Q8—471no—
815C4×#127—471no—
816C4×#124—471no—
817C4×#124—471no—
818#2290—471no—
819#2290—471no—
820#2290—471no—
821#2290—471no—
822C4×#117—471no—
823C2×C47—42no—
824C2×C47—42no—
825C2×C47—81no—
826C2×C47C2×#52511yescharacteristic
827C2×C47C2×#53211yescharacteristic
828C2×C47#344911yescharacteristic
829C2×C47#347511yescharacteristic
830C2×C47#347511yescharacteristic
831C2×C47#348011yescharacteristic
832C2×C47#348011yescharacteristic
833D47—42no—
834D47—81no—
835C22×#41—471no—
836C2×C4⋊Q8—471no—
837C2×#127—471no—
838#529—948no—
839C2×#126—471no—
840C2×#126—471no—
841C2×#125—471no—
842C2×#124—471no—
843C2×#124—471no—
844C2×#124—471no—
845C2×#123—471no—
846C2×#123C2×D4711yescharacteristic
847C2×C22⋊Q8—471no—
848C2×#121—471no—
849C4×#41—948no—
850C2×C4×Q8—471no—
851C2×C4×Q8—471no—
852C2×C4×Q8—471no—
853C2×C4×D4—471no—
854C2×C4×D4—471no—
855C2×C4×D4—471no—
856C2×C4×D4—471no—
857C2×C4×D4—471no—
858C2×C4×D4—471no—
859C2×C4×D4—471no—
860C2×C4×D4—471no—
861C2×C4×D4—471no—
862C2×C4×D4—471no—
863C2×C4×D4—471no—
864C2×C4×D4—471no—
865C2×C4×D4C2×D4711yescharacteristic
866C2×#117—471no—
867C2×#117—471no—
868C2×#117—471no—
869C2×#117—471no—
870C2×#117—471no—
871C2×#117—471no—
872C2×#117—471no—
873C22×C42—471no—
874C22×C42—471no—
875C22×C42—471no—
876#398—471no—
877#398—471no—
878#398—471no—
879#398—471no—
880#397—471no—
881#397—471no—
882#397—471no—
883#397C2×D4711yescharacteristic
884#396—471no—
885#396—471no—
886#396—471no—
887#396—471no—
888#396—471no—
889#396—471no—
890#396—471no—
891#396—471no—
892#394—471no—
893#394—471no—
894#394—471no—
895#394—471no—
896#394—471no—
897#394—471no—
898#394—471no—
899#394—471no—
900#394—471no—
901#394—471no—
902#394C2×D4711yescharacteristic
903#394C2×D4711yescharacteristic
904#392—471no—
905#392—471no—
906#392—471no—
907#392C2×D4711yescharacteristic
908#391—471no—
909#391—471no—
910#391—471no—
911#391—471no—
912#390—471no—
913#390—471no—
914#390—471no—
915#390—471no—
916#390—471no—
917#390—471no—
918#390—471no—
919#390C2×D4711yescharacteristic
920#389—471no—
921#389—471no—
922#389—471no—
923#389C2×D4711yescharacteristic
924#388—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388—471no—
932#388—471no—
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#388C2×D4711yescharacteristic
938#388C2×D4711yescharacteristic
939#388C2×D4711yescharacteristic
940#387—471no—
941#387—471no—
942#387—471no—
943#387—471no—
944#387—471no—
945#387—471no—
946#387—471no—
947#387C2×D4711yescharacteristic
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386C2×D4711yescharacteristic
956#385—471no—
957#385—471no—
958#385—471no—
959#385—471no—
960#385—471no—
961#385—471no—
962#385—471no—
963#385C2×D4711yescharacteristic
964#384—471no—
965#384—471no—
966#382—471no—
967#382—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⋊C4—471no—
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—
986C4×C22⋊C4—471no—
987C4×C22⋊C4C2×D4711yescharacteristic
988#376—471no—
989#376—471no—
990C43—471no—
991C43—471no—
992C47#3491011yescharacteristic, complemented, Sylow
993C2×#41—944no—
994C2×#41—944no—
995C2×#41—944no—
996C22×Q8—471no—
997C22×Q8—471no—
998C22×D4—471no—
999C22×D4—471no—
1000C22×D4—471no—
1001C22×D4—471no—
1002C22×D4—471no—
1003C22×D4—471no—
1004C22×D4—471no—
1005C22×D4C22×D4711yescharacteristic
1006C22×D4C22×D4711yescharacteristic
1007C22×D4C22×D4711yescharacteristic
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4C22×D4711yescharacteristic
1018C23×C4C22×D4711yescharacteristic
1019C4⋊Q8—944no—
1020#127—944no—
1021#126—944no—
1022#126—944no—
1023#125—944no—
1024#124—944no—
1025#124—944no—
1026#124—944no—
1027#123—24no—
1028#123—944no—
1029C22⋊Q8—944no—
1030#121—944no—
1031C4×Q8—944no—
1032C4×Q8—944no—
1033C4×Q8—944no—
1034C4×D4—24no—
1035C4×D4—944no—
1036C4×D4—944no—
1037C4×D4—944no—
1038C4×D4—944no—
1039C4×D4—944no—
1040C4×D4—944no—
1041C4×D4—944no—
1042C4×D4—944no—
1043C4×D4—944no—
1044C4×D4—944no—
1045C4×D4—944no—
1046C4×D4—944no—
1047#117—944no—
1048#117—944no—
1049#117—944no—
1050#117—944no—
1051#117—944no—
1052#117—944no—
1053#117—944no—
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—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4C22×D4711yescharacteristic
1081C2×C4⋊C4C22×D4711yescharacteristic
1082C2×C4⋊C4C22×D4711yescharacteristic
1083C2×C4⋊C4C22×D4711yescharacteristic
1084C2×C4⋊C4C22×D4711yescharacteristic
1085C2×C4⋊C4C22×D4711yescharacteristic
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—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⋊C4C22×D4711yescharacteristic
1118C2×C22⋊C4C22×D4711yescharacteristic
1119C2×C22⋊C4C22×D4711yescharacteristic
1120C2×C22⋊C4C22×D4711yescharacteristic
1121C2×C22⋊C4C22×D4711yescharacteristic
1122C2×C22⋊C4C22×D4711yescharacteristic
1123C2×C22⋊C4C22×D4711yescharacteristic
1124C2×C22⋊C4C22×D4711yescharacteristic
1125C2×C22⋊C4C22×D4711yescharacteristic
1126C2×C22⋊C4C22×D4711yescharacteristic
1127C2×C22⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4C22×D4711yescharacteristic
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C42—478no—
1131C2×C42—471no—
1132C2×C42—471no—
1133C2×C42—471no—
1134C2×C42—471no—
1135C2×C42—471no—
1136C2×C42—471no—
1137C2×C42—471no—
1138C2×C42—471no—
1139C2×C42—471no—
1140C2×C42—471no—
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—471no—
1145C2×C42—471no—
1146C2×C42—471no—
1147C2×C42—471no—
1148C2×C42—471no—
1149C2×C42—471no—
1150C2×C42—471no—
1151C2×C42—471no—
1152C2×C42—944no—
1153C2×C42—944no—
1154C2×C42C22×D4711yescharacteristic
1155C2×C42C22×D4711yescharacteristic
1156C2×C42C22×D4711yescharacteristic
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#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#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183#95C22×D4711yescharacteristic
1184#95C22×D4711yescharacteristic
1185#95C22×D4711yescharacteristic
1186#95C22×D4711yescharacteristic
1187#95C22×D4711yescharacteristic
1188#95C22×D4711yescharacteristic
1189C24—471no—
1190C24—471no—
1191C24C23×D4711yescharacteristic
1192C24C23×D4711yescharacteristic
1193C24C23×D4711yescharacteristic
1194#41—9432no—
1195C2×Q8—474no—
1196C2×Q8—942no—
1197C2×Q8—942no—
1198C2×Q8—942no—
1199C2×Q8—942no—
1200C2×Q8—942no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—474no—
1211C2×D4—942no—
1212C2×D4—942no—
1213C2×D4—942no—
1214C2×D4—942no—
1215C2×D4—942no—
1216C2×D4—942no—
1217C2×D4—942no—
1218C2×D4—942no—
1219C2×D4—942no—
1220C2×D4—942no—
1221C2×D4—942no—
1222C2×D4—942no—
1223C2×D4—942no—
1224C2×D4—942no—
1225C2×D4—942no—
1226C2×D4—1881no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C2×D4—1881no—
1230C2×D4—1881no—
1231C22×C4—22no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—471no—
1237C22×C4—471no—
1238C22×C4—474no—
1239C22×C4—474no—
1240C22×C4—471no—
1241C22×C4—471no—
1242C22×C4—471no—
1243C22×C4—471no—
1244C22×C4—471no—
1245C22×C4—471no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—471no—
1252C22×C4—942no—
1253C22×C4—942no—
1254C22×C4—942no—
1255C22×C4—942no—
1256C22×C4—942no—
1257C22×C4—942no—
1258C22×C4—942no—
1259C22×C4—942no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—942no—
1273C22×C4—942no—
1274C22×C4—942no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4D4×D4714yes—
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
1289C22×C4C23×D4711yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—942no—
1297C4⋊C4—942no—
1298C4⋊C4—942no—
1299C4⋊C4—942no—
1300C4⋊C4—942no—
1301C4⋊C4—942no—
1302C4⋊C4—942no—
1303C4⋊C4—942no—
1304C4⋊C4—942no—
1305C4⋊C4—942no—
1306C4⋊C4—942no—
1307C4⋊C4—942no—
1308C4⋊C4—942no—
1309C4⋊C4—942no—
1310C4⋊C4—942no—
1311C4⋊C4—942no—
1312C4⋊C4—942no—
1313C4⋊C4—942no—
1314C4⋊C4—942no—
1315C4⋊C4—942no—
1316C4⋊C4—942no—
1317C4⋊C4—942no—
1318C4⋊C4—942no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C4⋊C4—1881no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—942no—
1336C22⋊C4—942no—
1337C22⋊C4—942no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—942no—
1342C22⋊C4—942no—
1343C22⋊C4—942no—
1344C22⋊C4—942no—
1345C22⋊C4—942no—
1346C22⋊C4—942no—
1347C22⋊C4—942no—
1348C22⋊C4—942no—
1349C22⋊C4—942no—
1350C22⋊C4—942no—
1351C22⋊C4—942no—
1352C22⋊C4—942no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—942no—
1357C22⋊C4—942no—
1358C22⋊C4—942no—
1359C22⋊C4—942no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C22⋊C4—1881no—
1363C22⋊C4—1881no—
1364C22⋊C4—1881no—
1365C22⋊C4—1881no—
1366C42—22no—
1367C42—41no—
1368C42—41no—
1369C42—474no—
1370C42—474no—
1371C42—474no—
1372C42—474no—
1373C42—474no—
1374C42—474no—
1375C42—942no—
1376C42—942no—
1377C42—942no—
1378C42—942no—
1379C42—942no—
1380C42—942no—
1381C42—942no—
1382C42—942no—
1383C42—942no—
1384C42—942no—
1385C42—942no—
1386C42—942no—
1387C42—942no—
1388C42—1881no—
1389C42—1881no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—472no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23C2×D4×D4712yes—
1424C23#41×D4712yes—
1425C23C24×D4711yescharacteristic
1426Q8—948no—
1427Q8—1884no—
1428D4—28no—
1429D4—44no—
1430D4—44no—
1431D4—948no—
1432D4—948no—
1433D4—1884no—
1434D4—1884no—
1435D4—1884no—
1436D4—1884no—
1437D4—1884no—
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—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—44no—
1470C2×C4—44no—
1471C2×C4—472no—
1472C2×C4—472no—
1473C2×C4—472no—
1474C2×C4—472no—
1475C2×C4—472no—
1476C2×C4—472no—
1477C2×C4—472no—
1478C2×C4—472no—
1479C2×C4—472no—
1480C2×C4—472no—
1481C2×C4—472no—
1482C2×C4—948no—
1483C2×C4—948no—
1484C2×C4—948no—
1485C2×C4—948no—
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—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—1884no—
1518C2×C4—1884no—
1519C2×C4—1884no—
1520C2×C4—1884no—
1521C2×C4—1884no—
1522C2×C4C2×D4×D4712yes—
1523C2×C4C2×D4×D4712yes—
1524C2×C4#41×D4712yes—
1525C2×C4#41×D4712yes—
1526C2×C4#41×D4712yes—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—942no—
1549C22—942no—
1550C22—942no—
1551C22—1881no—
1552C22—1881no—
1553C22—1881no—
1554C22—1881no—
1555C22—1881no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22—1881no—
1561C22—1881no—
1562C22C22×D4×D4711yescharacteristic
1563C22C2×#41×D4711yescharacteristic
1564C22C2×#41×D4711yescharacteristic
1565C22C2×#41×D4711yescharacteristic
1566C22C2×#41×D4711yescharacteristic
1567C22#1568995811yescharacteristic
1568C22#1568995811yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—474no—
1582C4—474no—
1583C4—942no—
1584C4—942no—
1585C4—942no—
1586C4—942no—
1587C4—942no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C4—1881no—
1594C4—1881no—
1595C2—42no—
1596C2—42no—
1597C2—81no—
1598C2—3761no—
1599C2—1882no—
1600C2#525×D4711yescharacteristic
1601C2#532×D4711yescharacteristic
1602C2#2025671411yescharacteristic
1603C2#2025694311yescharacteristic
1604C2#2025694711yescharacteristic
1605C2#2025698211yescharacteristic
1606C2#2025698411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2602C2
prime radical#20247002C2
hypercenter#2602D47
hypocenterC47#34910
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2602

Complements

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

NH ≅ G/Ntype
1. C2×#15689650C2semidirect
2. C2×C4×#10625352C2semidirect
3. #20249002C2semidirect
4. #20249000C2semidirect
5. #20248994C2semidirect
6. #20248992C2semidirect
7. #20248990C2semidirect
8. #20248984C2semidirect
9. #20248982C2semidirect
10. #20248586C2semidirect
11. #20248577C2semidirect
12. #20248366C2semidirect
13. #20248357C2semidirect
14. #20247845C2semidirect
15. #20247836C2semidirect
16. #20247011C2semidirect
18. #20246631C2semidirect
19. #20246631C2semidirect
20. #20246625C2semidirect
21. #20246623C2semidirect
22. #20245959C2semidirect
23. #20245952C2semidirect
24. #20245929C2semidirect
25. #20245929C2semidirect
26. #20245830C2semidirect
27. #20245828C2semidirect
28. #20245826C2semidirect
29. #20245824C2semidirect
30. C4×#13093980C2semidirect
31. C47×#2602C2semidirect
301. C2×C4×Dic47D4semidirect
584. C4×Dic47#41semidirect
585. C4×Dic47#41semidirect
797. #2602D47semidirect
992. C47#34910semidirect

Maximal subgroups

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

subgroupindex
C2×#156896502
C2×C4×#106253522
#202490022
#202490002
#202489942
#202489922
#202489902
#202489842
#202489822
#202485862
#202485772
#202483662
#202483572
#202478452
#202478362
#202470112
#202470022
#202466312
#202466252
#202466232
#202459592
#202459522
#202459292
#202458302
#202458282
#202458262
#202458242
C4×#130939802
C47×#26022
#3491047