Finite Group Databasebeta

← #26387744

Subgroups — #26387744

Order 12032.

2726 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#10625352C211yesmaximal, characteristic, complemented
2C2×C4×#10625352C211yesmaximal, characteristic, complemented
3#20248975C211yesmaximal, characteristic, complemented
4#20248970C211yesmaximal, characteristic, complemented
5#20248970C211yesmaximal, characteristic, complemented
6#20248964C211yesmaximal, characteristic, complemented
7#20248962C211yesmaximal, characteristic, complemented
8#20248953C211yesmaximal, characteristic, complemented
9#20248951C211yesmaximal, characteristic, complemented
10#20248753C211yesmaximal, characteristic, complemented
11#20248745C211yesmaximal, characteristic, complemented
12#20248296C211yesmaximal, characteristic, complemented
13#20248288C211yesmaximal, characteristic, complemented
14#20247680C211yesmaximal, characteristic, complemented
15#20247678C211yesmaximal, characteristic, complemented
16#20246728C211yesmaximal, characteristic, complemented
17#20246726C211yesmaximal, characteristic, complemented
18#20246646C211yesmaximal, characteristic, complemented
19#20246644C211yesmaximal, characteristic, complemented
20#20246602C211yesmaximal, characteristic, complemented
21#20246600C211yesmaximal, characteristic, complemented
22#20245922C211yesmaximal, characteristic, complemented
23#20245920C211yesmaximal, characteristic, complemented
24#20245900C211yesmaximal, characteristic, complemented
25#20245898C211yesmaximal, characteristic, complemented
26#20245830C211yesmaximal, characteristic, complemented
27#20245828C211yesmaximal, characteristic, complemented
28#20245826C211yesmaximal, characteristic, complemented
29#20245824C211yesmaximal, characteristic, complemented
30#20245779C211yesmaximal, characteristic, complemented
31C47×#2600C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C22×#10625352C2211yescharacteristic
34C2×#13094002C2211yescharacteristic
35C2×#13094001C2211yescharacteristic
36C2×#13093997C2211yescharacteristic
37C2×#13093996C2211yescharacteristic
38C4×#10625352—28no—
39C4×#10625352—28no—
40C2×C4×Dic94C2211yescharacteristic
41C2×C4×Dic94C2211yescharacteristic
42C2×#13093989C2211yescharacteristic
43C2×#13093989C2211yescharacteristic
44C2×D4×Dic47C2211yescharacteristic
45C2×D4×Dic47C2211yescharacteristic
46C2×D4×Dic47C2211yescharacteristic
47C2×#13093986C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×C4×C22⋊D47C2211yescharacteristic
51C2×C4×C22⋊D47C2211yescharacteristic
52C2×(C22⋊D47)⋊C4C2211yescharacteristic
53C2×(C22⋊D47)⋊C4C2211yescharacteristic
54C2×(C22⋊D47)⋊C4C2211yescharacteristic
55C2×(C22⋊D47)⋊C4C2211yescharacteristic
56C2×(C22⋊D47)⋊C4C2211yescharacteristic
57C2×(C22⋊D47)⋊C4C2211yescharacteristic
58C2×#13093982C2211yescharacteristic
59C2×#13093982C2211yescharacteristic
60C2×#13093980C2211yescharacteristic
61C2×#13093980C2211yescharacteristic
62C2×#13093980C2211yescharacteristic
63C2×#13093980C2211yescharacteristic
64C22×C4×Dic47C2211yescharacteristic
65C22×C4×Dic47C2211yescharacteristic
66C22×C4×Dic47C2211yescharacteristic
67C2×C42×D47C2211yescharacteristic
68C2×C42×D47C2211yescharacteristic
69#15689065C2211yescharacteristic
70#15689064C2211yescharacteristic
71#15689059C2211yescharacteristic
72#15689058C2211yescharacteristic
73#15689057C2211yescharacteristic
74#15689056C2211yescharacteristic
75#15689052C2211yescharacteristic
76#15689051C2211yescharacteristic
77#15689051C2211yescharacteristic
78#15689051C2211yescharacteristic
79#15689048C2211yescharacteristic
80#15689044C2211yescharacteristic
81#15689043C2211yescharacteristic
82#15689039C2211yescharacteristic
83#15689039C2211yescharacteristic
84#15689039C2211yescharacteristic
85#15689038C2211yescharacteristic
86#15689038C2211yescharacteristic
87#15689038C2211yescharacteristic
88#15689037C2211yescharacteristic
89#15689037C2211yescharacteristic
90#15689036C2211yescharacteristic
91#15689035C2211yescharacteristic
92#15689032C2211yescharacteristic
93#15689032C2211yescharacteristic
94#15689031C2211yescharacteristic
95#15689031C2211yescharacteristic
96#15689031C2211yescharacteristic
97#15689027C2211yescharacteristic
98#15689027C2211yescharacteristic
99#15689023C2211yescharacteristic
100#15689023C2211yescharacteristic
101#15689020C2211yescharacteristic
102#15689020C2211yescharacteristic
103#15689018C2211yescharacteristic
104#15689018C2211yescharacteristic
105#15689017C2211yescharacteristic
106#15689016C2211yescharacteristic
107#15689015C2211yescharacteristic
108#15689015C2211yescharacteristic
109#15689014C2211yescharacteristic
110#15689014C2211yescharacteristic
111#15689013C2211yescharacteristic
112#15689012C2211yescharacteristic
113#15689011C2211yescharacteristic
114#15689011C2211yescharacteristic
115#15689010C2211yescharacteristic
116#15689009C2211yescharacteristic
117#15689008C2211yescharacteristic
118#15689008C2211yescharacteristic
119#15689007C2211yescharacteristic
120#15689007C2211yescharacteristic
121#15689006C2211yescharacteristic
122#15689005C2211yescharacteristic
123#15689004C2211yescharacteristic
124#15689004C2211yescharacteristic
125#15689003C2211yescharacteristic
126#15689002C2211yescharacteristic
127#15689002C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689000C2211yescharacteristic
132#15688999C2211yescharacteristic
133#15688999C2211yescharacteristic
134#15688999C2211yescharacteristic
135#15688998C2211yescharacteristic
136#15688997C2211yescharacteristic
137#15688997C2211yescharacteristic
138#15688997C2211yescharacteristic
139#15688996C2211yescharacteristic
140#15688996C2211yescharacteristic
141#15688995C2211yescharacteristic
142#15688994C2211yescharacteristic
143#15688994C2211yescharacteristic
144#15688994C2211yescharacteristic
145#15688990C2211yescharacteristic
146#15688990C2211yescharacteristic
147#15688987C2211yescharacteristic
148#15688987C2211yescharacteristic
149#15688986C2211yescharacteristic
150#15688982C2211yescharacteristic
151#15688982C2211yescharacteristic
152#15688981C2211yescharacteristic
153#15688981C2211yescharacteristic
154#15688981C2211yescharacteristic
155#15688981C2211yescharacteristic
156C4⋊C4×Dic47C2211yescharacteristic
157C4⋊C4×Dic47C2211yescharacteristic
158#15688974C2211yescharacteristic
159#15688974C2211yescharacteristic
160#15688974C2211yescharacteristic
161#15688974C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C22⋊C4×Dic47C2211yescharacteristic
165C22⋊C4×Dic47C2211yescharacteristic
166C22⋊C4×Dic47C2211yescharacteristic
167C22⋊C4×Dic47C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688970C2211yescharacteristic
170#15688970C2211yescharacteristic
171#15688970C2211yescharacteristic
172#15688968C2211yescharacteristic
173#15688968C2211yescharacteristic
174C2×C4×D4×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C47×#397C2211yescharacteristic
177C47×#394C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#392C2211yescharacteristic
180C47×#388C2211yescharacteristic
181C47×#388C2211yescharacteristic
182C47×#387C2211yescharacteristic
183C47×#387C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic
186C47×#385C2211yescharacteristic
187C47×#385C2211yescharacteristic
188C47×#381C2211yescharacteristic
189C2×#10625352—24no—
190C2×#10625352—24no—
191C2×#10625352—24no—
192C2×#10625352—24no—
193C2×#10625352—24no—
194C2×#10625352—24no—
195C22×Dic94C2311yescharacteristic
196C22×Dic94C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216#13094002—24no—
217#13094001—24no—
218#13093997—24no—
219#13093996—24no—
220C4×Dic94—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—
230C4×C22⋊D47—24no—
231C4×C22⋊D47—24no—
232(C22⋊D47)⋊C4—24no—
233(C22⋊D47)⋊C4—24no—
234(C22⋊D47)⋊C4—24no—
235(C22⋊D47)⋊C4—24no—
236(C22⋊D47)⋊C4—24no—
237(C22⋊D47)⋊C4—24no—
238#13093982—24no—
239#13093982—24no—
240#13093980—24no—
241#13093980—24no—
242#13093980—24no—
243#13093980—24no—
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×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
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×(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×C4×Dic47—24no—
296C2×C4×Dic47—24no—
297C2×C4×Dic47D418yescomplemented
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C42×D47—24no—
317C42×D47—24no—
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
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
353C23×C4×C47C2311yescharacteristic
354C4×D4×C47—24no—
355C4×D4×C47—24no—
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×C42×C47C2311yescharacteristic
374C2×C42×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376#95×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—22no—
397C2×D4×C47—22no—
398C2×D4×C47—41no—
399C22×C4×C47—22no—
400C22×C4×C47—22no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47C2×D414yes—
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
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
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—22no—
431C2×C22⋊D47—22no—
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47#4114yescomplemented
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×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—22no—
453C22×Dic47C2×D414yes—
454C22×Dic47C2×D414yes—
455C22×Dic47#4114yescomplemented
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470#10625352—232no—
471#10625352—232no—
472C2×D188—22no—
473C2×D188—22no—
474C2×D188—41no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—41no—
489C2×C4×D47—41no—
490C2×C4×D47—41no—
491C2×C4×D47—41no—
492C2×C4×D47#4114yescomplemented
493C2×Dic94—22no—
494C2×Dic94—22no—
495C2×Dic94—22no—
496C2×Dic94—22no—
497C2×Dic94—22no—
498C2×Dic94#4114yescomplemented
499C4⋊C4×C47—22no—
500C4⋊C4×C47—22no—
501C4⋊C4×C47—22no—
502C4⋊C4×C47—22no—
503C4⋊C4×C47—41no—
504C22⋊C4×C47—22no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—22no—
511C22⋊C4×C47—22no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C42×C47—22no—
517C42×C47—22no—
518C22⋊Dic47—22no—
519C22⋊Dic47—22no—
520C22⋊Dic47—22no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—22no—
524C22⋊Dic47—22no—
525C22⋊Dic47—22no—
526C22⋊Dic47—41no—
527C22⋊Dic47—41no—
528C22⋊Dic47—41no—
529C22⋊Dic47—41no—
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—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4—22no—
539(C2×D47)⋊C4—22no—
540(C2×D47)⋊C4—22no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546C4⋊Dic47—22no—
547C4⋊Dic47—22no—
548C4⋊Dic47—22no—
549C4⋊Dic47—22no—
550C4⋊Dic47—41no—
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—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—41no—
568Dic47⋊C4—41no—
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—22no—
579C4×Dic47—22no—
580C4×Dic47—22no—
581C4×Dic47—22no—
582C4×Dic47—22no—
583C4×Dic47C2×D414yes—
584C4×Dic47C2×D414yes—
585C4×Dic47C2×D414yes—
586C4×Dic47C2×D414yes—
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×C47C2×#4112yes—
608C23×C47C2511yescharacteristic
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—
622C22×D47C2×#4112yes—
623D4×C47—28no—
624D4×C47—28no—
625D4×C47—44no—
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—21no—
657C2×C4×C47—21no—
658C2×C4×C47—44no—
659C2×C4×C47—44no—
660C2×C4×C47—44no—
661C2×C4×C47C22×D412yes—
662C2×C4×C47C22×D412yes—
663C2×C4×C47C2×#4112yes—
664C2×C4×C47C2×#4112yes—
665C22⋊D47—28no—
666C22⋊D47—28no—
667C22⋊D47—28no—
668C22⋊D47—28no—
669C22⋊D47—44no—
670C22⋊D47—44no—
671C2×Dic47—28no—
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—28no—
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—44no—
708C2×Dic47—44no—
709C2×Dic47C22×D412yes—
710C2×Dic47C22×D412yes—
711C2×Dic47C22×D412yes—
712C2×Dic47C22×D412yes—
713C2×Dic47C2×#4112yes—
714C2×Dic47C2×#4112yes—
715C2×Dic47C2×#4112yes—
716C2×Dic47C2×#4112yes—
717C2×Dic47C2×#4112yes—
718C2×Dic47C2×#4112yes—
719D188—44no—
720C4×D47—28no—
721C4×D47—28no—
722C4×D47—44no—
723C4×D47—44no—
724C4×D47—44no—
725C4×D47—44no—
726Dic94—28no—
727Dic94—28no—
728#34909—471nomaximal, Sylow
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—22no—
735C22×C47—22no—
736C22×C47—22no—
737C22×C47—22no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47C23×D411yescharacteristic
751C22×C47C22×#4111yescharacteristic
752C22×C47C22×#4111yescharacteristic
753C22×C47C22×#4111yescharacteristic
754C22×C47C22×#4111yescharacteristic
755C22×C47#58511yescharacteristic
756C22×C47#58511yescharacteristic
757C2×D47—22no—
758C2×D47—22no—
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C4×C47—22no—
772C4×C47—22no—
773C4×C47—22no—
774C4×C47—22no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783Dic47—22no—
784Dic47—22no—
785Dic47—22no—
786Dic47—22no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47#52514yes—
796Dic47#52514yes—
797C2×C4×#41—471no—
798C2×C4×#41—471no—
799#2600—471no—
800#2600—471no—
801#2600—471no—
802#2600D4711yescharacteristic, complemented
803#2599—471no—
804#2599—471no—
805#2598—471no—
806#2598—471no—
807#2581—471no—
808#2580—471no—
809#2536—471no—
810#2535—471no—
811#2485—471no—
812#2485—471no—
813#2407—471no—
814#2407—471no—
815#2395—471no—
816#2395—471no—
817#2388—471no—
818#2388—471no—
819C4×C22⋊Q8—471no—
820C4×C22⋊Q8—471no—
821C4×#121—471no—
822C4×#121—471no—
823#2290—471no—
824#2290—471no—
825#2290—471no—
826#2290—471no—
827#2283—471no—
828C2×C47—42no—
829C2×C47—42no—
830C2×C47—42no—
831C2×C47C2×#52511yescharacteristic
832C2×C47C2×#52511yescharacteristic
833C2×C47#344911yescharacteristic
834C2×C47#347511yescharacteristic
835C2×C47#347511yescharacteristic
836C2×C47#348011yescharacteristic
837C2×C47#348011yescharacteristic
838D47—42no—
839D47—42no—
840C22×#41—471no—
841C22×#41—471no—
842C2×C22⋊Q8—471no—
843C2×C22⋊Q8—471no—
844C2×#121—471no—
845C2×#121—471no—
846C4×#41—948no—
847C4×#41—948no—
848C2×C4×Q8—471no—
849C2×C4×Q8—471no—
850C2×C4×Q8—471no—
851C2×C4×Q8—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×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×D4—471no—
866C2×C4×D4C2×D4711yescharacteristic
867C2×C4×D4C2×D4711yescharacteristic
868C2×#117—471no—
869C2×#117—471no—
870C2×#117—471no—
871C2×#117—471no—
872C2×#117—471no—
873C2×#117—471no—
874C22×C42—471no—
875C22×C42—471no—
876C22×C42—471no—
877C22×C42—471no—
878C22×C42—471no—
879#400—471no—
880#400—471no—
881#399—471no—
882#399—471no—
883#398—471no—
884#398—471no—
885#397—471no—
886#397—471no—
887#397—471no—
888#397—471no—
889#397—471no—
890#397C2×D4711yescharacteristic
891#395—471no—
892#395—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#394C2×D4711yescharacteristic
902#394C2×D4711yescharacteristic
903#393—471no—
904#393—471no—
905#392—471no—
906#392—471no—
907#392—471no—
908#392—471no—
909#392—471no—
910#392C2×D4711yescharacteristic
911#391—471no—
912#391—471no—
913#390—471no—
914#390—471no—
915#389—471no—
916#389—471no—
917#389—471no—
918#389—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#388C2×D4711yescharacteristic
930#388C2×D4711yescharacteristic
931#387—471no—
932#387—471no—
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#387C2×D4711yescharacteristic
942#387C2×D4711yescharacteristic
943#386—471no—
944#386—471no—
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#386C2×D4711yescharacteristic
954#386C2×D4711yescharacteristic
955#385—471no—
956#385—471no—
957#385—471no—
958#385—471no—
959#385—471no—
960#385—471no—
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385C2×D4711yescharacteristic
966#385C2×D4711yescharacteristic
967#383—471no—
968#383—471no—
969#382—471no—
970#382—471no—
971#381—471no—
972#381C2×D4711yescharacteristic
973#380—471no—
974#380—471no—
975#380—471no—
976#380—471no—
977#380—471no—
978#380—471no—
979C4×C4⋊C4—471no—
980C4×C4⋊C4—471no—
981C4×C4⋊C4—471no—
982C4×C4⋊C4—471no—
983C4×C4⋊C4—471no—
984C4×C4⋊C4—471no—
985C4×C22⋊C4—471no—
986C4×C22⋊C4—471no—
987C4×C22⋊C4—471no—
988C4×C22⋊C4—471no—
989C4×C22⋊C4—471no—
990C4×C22⋊C4—471no—
991C4×C22⋊C4—471no—
992C4×C22⋊C4—471no—
993C4×C22⋊C4—471no—
994C4×C22⋊C4—471no—
995#376—471no—
996#376—471no—
997C47#3490911yescharacteristic, complemented, Sylow
998C2×#41—944no—
999C2×#41—944no—
1000C2×#41—944no—
1001C2×#41—944no—
1002C2×#41—944no—
1003C2×#41—944no—
1004C22×Q8—471no—
1005C22×Q8—471no—
1006C22×D4—471no—
1007C22×D4—471no—
1008C22×D4—471no—
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4—471no—
1012C22×D4—471no—
1013C22×D4C22×D4711yescharacteristic
1014C22×D4C22×D4711yescharacteristic
1015C22×D4C22×D4711yescharacteristic
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4C22×D4711yescharacteristic
1029C23×C4C22×D4711yescharacteristic
1030C23×C4C22×D4711yescharacteristic
1031C22⋊Q8—944no—
1032C22⋊Q8—944no—
1033#121—944no—
1034#121—944no—
1035C4×Q8—944no—
1036C4×Q8—944no—
1037C4×Q8—944no—
1038C4×Q8—944no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—944no—
1042C4×D4—944no—
1043C4×D4—944no—
1044C4×D4—944no—
1045C4×D4—944no—
1046C4×D4—944no—
1047C4×D4—944no—
1048C4×D4—944no—
1049C4×D4—944no—
1050C4×D4—944no—
1051C4×D4—944no—
1052C4×D4—944no—
1053C4×D4—944no—
1054C4×D4—944no—
1055#117—944no—
1056#117—944no—
1057#117—944no—
1058#117—944no—
1059#117—944no—
1060#117—944no—
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⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4C22×D4711yescharacteristic
1085C2×C4⋊C4C22×D4711yescharacteristic
1086C2×C4⋊C4C22×D4711yescharacteristic
1087C2×C4⋊C4C22×D4711yescharacteristic
1088C2×C4⋊C4C22×D4711yescharacteristic
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×C42—478no—
1130C2×C42—471no—
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—944no—
1149C2×C42—944no—
1150C2×C42—944no—
1151C2×C42—944no—
1152C2×C42C22×D4711yescharacteristic
1153C2×C42C22×D4711yescharacteristic
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#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#95C22×D4711yescharacteristic
1185#95C22×D4711yescharacteristic
1186#95C22×D4711yescharacteristic
1187#95C22×D4711yescharacteristic
1188#95C22×D4711yescharacteristic
1189#95C22×D4711yescharacteristic
1190#95C22×D4711yescharacteristic
1191#95C22×D4711yescharacteristic
1192#95C22×D4711yescharacteristic
1193#95C22×D4711yescharacteristic
1194C24—471no—
1195C24—471no—
1196C24C23×D4711yescharacteristic
1197C24C23×D4711yescharacteristic
1198C24C23×D4711yescharacteristic
1199#41—9432no—
1200#41—9432no—
1201C2×Q8—474no—
1202C2×Q8—942no—
1203C2×Q8—942no—
1204C2×Q8—942no—
1205C2×Q8—942no—
1206C2×Q8—942no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—41no—
1216C2×D4—474no—
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—942no—
1227C2×D4—942no—
1228C2×D4—942no—
1229C2×D4—942no—
1230C2×D4—942no—
1231C2×D4—942no—
1232C2×D4—942no—
1233C2×D4—942no—
1234C2×D4—1881no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—471no—
1246C22×C4—471no—
1247C22×C4—474no—
1248C22×C4—474no—
1249C22×C4—474no—
1250C22×C4—471no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—474no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—471no—
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—942no—
1276C22×C4—942no—
1277C22×C4—942no—
1278C22×C4—942no—
1279C22×C4—942no—
1280C22×C4—942no—
1281C22×C4—942no—
1282C22×C4—942no—
1283C22×C4—942no—
1284C22×C4—942no—
1285C22×C4—942no—
1286C22×C4—942no—
1287C22×C4—942no—
1288C22×C4—942no—
1289C22×C4—942no—
1290C22×C4—942no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4—1881no—
1294C22×C4—1881no—
1295C22×C4D4×D4714yes—
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C22×C4C23×D4711yescharacteristic
1305C22×C4C23×D4711yescharacteristic
1306C22×C4C23×D4711yescharacteristic
1307C22×C4C23×D4711yescharacteristic
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—41no—
1313C4⋊C4—942no—
1314C4⋊C4—942no—
1315C4⋊C4—942no—
1316C4⋊C4—942no—
1317C4⋊C4—942no—
1318C4⋊C4—942no—
1319C4⋊C4—942no—
1320C4⋊C4—942no—
1321C4⋊C4—942no—
1322C4⋊C4—942no—
1323C4⋊C4—942no—
1324C4⋊C4—942no—
1325C4⋊C4—942no—
1326C4⋊C4—942no—
1327C4⋊C4—942no—
1328C4⋊C4—942no—
1329C4⋊C4—942no—
1330C4⋊C4—942no—
1331C4⋊C4—942no—
1332C4⋊C4—942no—
1333C4⋊C4—1881no—
1334C4⋊C4—1881no—
1335C4⋊C4—1881no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
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—942no—
1361C22⋊C4—942no—
1362C22⋊C4—942no—
1363C22⋊C4—942no—
1364C22⋊C4—942no—
1365C22⋊C4—942no—
1366C22⋊C4—942no—
1367C22⋊C4—942no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C42—22no—
1377C42—22no—
1378C42—474no—
1379C42—474no—
1380C42—474no—
1381C42—474no—
1382C42—942no—
1383C42—942no—
1384C42—942no—
1385C42—942no—
1386C42—942no—
1387C42—942no—
1388C42—942no—
1389C42—942no—
1390C42—942no—
1391C42—942no—
1392C42—942no—
1393C42—942no—
1394C42—942no—
1395C42—942no—
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—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—472no—
1415C23—472no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23C2×D4×D4712yes—
1429C23#41×D4712yes—
1430C23#41×D4712yes—
1431C23C24×D4711yescharacteristic
1432Q8—948no—
1433Q8—948no—
1434D4—28no—
1435D4—28no—
1436D4—44no—
1437D4—948no—
1438D4—948no—
1439D4—948no—
1440D4—948no—
1441D4—1884no—
1442D4—1884no—
1443D4—1884no—
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—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—472no—
1480C2×C4—472no—
1481C2×C4—472no—
1482C2×C4—472no—
1483C2×C4—472no—
1484C2×C4—472no—
1485C2×C4—472no—
1486C2×C4—472no—
1487C2×C4—472no—
1488C2×C4—472no—
1489C2×C4—948no—
1490C2×C4—948no—
1491C2×C4—948no—
1492C2×C4—948no—
1493C2×C4—948no—
1494C2×C4—948no—
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—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—1884no—
1528C2×C4—1884no—
1529C2×C4—1884no—
1530C2×C4—1884no—
1531C2×C4—1884no—
1532C2×C4—1884no—
1533C2×C4C2×D4×D4712yes—
1534C2×C4C2×D4×D4712yes—
1535C2×C4#41×D4712yes—
1536C2×C4#41×D4712yes—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—942no—
1559C22—942no—
1560C22—942no—
1561C22—942no—
1562C22—942no—
1563C22—942no—
1564C22—1881no—
1565C22—1881no—
1566C22—1881no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
1572C22C22×D4×D4711yescharacteristic
1573C22C2×#41×D4711yescharacteristic
1574C22C2×#41×D4711yescharacteristic
1575C22C2×#41×D4711yescharacteristic
1576C22C2×#41×D4711yescharacteristic
1577C22#1568995811yescharacteristic
1578C22#1568995811yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—474no—
1592C4—474no—
1593C4—942no—
1594C4—942no—
1595C4—942no—
1596C4—942no—
1597C4—1881no—
1598C4—1881no—
1599C4—1881no—
1600C4—1881no—
1601C4—1881no—
1602C4—1881no—
1603C4—1881no—
1604C4—1881no—
1605C2—42no—
1606C2—42no—
1607C2—42no—
1608C2—1882no—
1609C2—1882no—
1610C2#525×D4711yescharacteristic
1611C2#525×D4711yescharacteristic
1612C2#2025671411yescharacteristic
1613C2#2025694311yescharacteristic
1614C2#2025694711yescharacteristic
1615C2#2025698211yescharacteristic
1616C2#2025698411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2600C2
hypercenter#2600D47
hypocenterC47#34909
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2600

Complements

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

NH ≅ G/Ntype
1. C2×C4×#10625352C2semidirect
2. C2×C4×#10625352C2semidirect
3. #20248975C2semidirect
4. #20248970C2semidirect
5. #20248970C2semidirect
6. #20248964C2semidirect
7. #20248962C2semidirect
8. #20248953C2semidirect
9. #20248951C2semidirect
10. #20248753C2semidirect
11. #20248745C2semidirect
12. #20248296C2semidirect
13. #20248288C2semidirect
14. #20247680C2semidirect
15. #20247678C2semidirect
16. #20246728C2semidirect
17. #20246726C2semidirect
18. #20246646C2semidirect
19. #20246644C2semidirect
20. #20246602C2semidirect
21. #20246600C2semidirect
22. #20245922C2semidirect
23. #20245920C2semidirect
24. #20245900C2semidirect
25. #20245898C2semidirect
26. #20245830C2semidirect
27. #20245828C2semidirect
28. #20245826C2semidirect
29. #20245824C2semidirect
30. #20245779C2semidirect
31. C47×#2600C2semidirect
297. C2×C4×Dic47D4semidirect
437. C2×C22⋊D47#41semidirect
455. C22×Dic47#41semidirect
492. C2×C4×D47#41semidirect
498. C2×Dic94#41semidirect
802. #2600D47semidirect
997. C47#34909semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#106253522
#202489752
#202489702
#202489642
#202489622
#202489532
#202489512
#202487532
#202487452
#202482962
#202482882
#202476802
#202476782
#202467282
#202467262
#202466462
#202466442
#202466022
#202466002
#202459222
#202459202
#202459002
#202458982
#202458302
#202458282
#202458262
#202458242
#202457792
C47×#26002
#3490947