Finite Group Databasebeta

← #26385061

Subgroups — #26385061

Order 12032.

2598 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689675C211yesmaximal, characteristic, complemented
2C22×#13093980C211yesmaximal, characteristic
3#20247111C211yesmaximal, characteristic, complemented
4#20247109C211yesmaximal, characteristic, complemented
5#20247096C211yesmaximal, characteristic, complemented
6#20247094C211yesmaximal, characteristic, complemented
7#20247089C211yesmaximal, characteristic, complemented
8#20247087C211yesmaximal, characteristic, complemented
9#20247074C211yesmaximal, characteristic, complemented
10#20247072C211yesmaximal, characteristic, complemented
11#20247070C211yesmaximal, characteristic, complemented
12#20247068C211yesmaximal, characteristic, complemented
13#20247062C211yesmaximal, characteristic, complemented
14#20247060C211yesmaximal, characteristic, complemented
15#20247054C211yesmaximal, characteristic
16#20247049C211yesmaximal, characteristic
17#20247049C211yesmaximal, characteristic
18#20246663C211yesmaximal, characteristic, complemented
19#20246663C211yesmaximal, characteristic, complemented
20#20246657C211yesmaximal, characteristic, complemented
21#20246655C211yesmaximal, characteristic, complemented
22C22⋊Q8×Dic47C211yesmaximal, characteristic, complemented
23#20245920C211yesmaximal, characteristic, complemented
24#20245920C211yesmaximal, characteristic, complemented
25#20245916C211yesmaximal, characteristic, complemented
26#20245867C211yesmaximal, characteristic, complemented
27#20245867C211yesmaximal, characteristic, complemented
28#20245790C211yesmaximal, characteristic, complemented
29#20245766C211yesmaximal, characteristic
30C2×C22⋊C4×Dic47C211yesmaximal, characteristic
31C47×#2437C211yesmaximal, characteristic
32C24×Dic47C2211yescharacteristic
33#15689675—28no—
34C2×#13094023C2211yescharacteristic, complemented
35C2×#13094022C2211yescharacteristic, complemented
36C2×#13094014C2211yescharacteristic, complemented
37C2×#13094014C2211yescharacteristic, complemented
38C2×#13094003C2211yescharacteristic
39C2×#13094003C2211yescharacteristic
40C2×#13094001C2211yescharacteristic
41C2×#13094001C2211yescharacteristic
42C2×#13094001C2211yescharacteristic
43C2×#13094001C2211yescharacteristic
44C2×Q8×Dic47C2211yescharacteristic, complemented
45C2×#13093989C2211yescharacteristic, complemented
46C2×#13093989C2211yescharacteristic, complemented
47C2×#13093989C2211yescharacteristic, complemented
48C2×#13093980—28no—
49C2×#13093980C2211yescharacteristic
50C2×#13093980C2211yescharacteristic
51C2×#13093980C2211yescharacteristic
52C2×#13093980C2211yescharacteristic
53C2×#13093980C2211yescharacteristic
54C2×#13093980C2211yescharacteristic
55C2×#13093980C2211yescharacteristic
56C2×#13093980C2211yescharacteristic
57C2×#13093980C2211yescharacteristic
58C2×#13093980C2211yescharacteristic
59C22×Dic47⋊C4C2211yescharacteristic
60C22×Dic47⋊C4C2211yescharacteristic
61C22×C22⋊Dic47C2211yescharacteristic
62C22×C22⋊Dic47C2211yescharacteristic
63C22×C4×Dic47C2211yescharacteristic
64C22×C4×Dic47C2211yescharacteristic
65C22×C4×Dic47C2211yescharacteristic
66C22×C4×Dic47C2211yescharacteristic
67#15689064C2211yescharacteristic, complemented
68#15689064C2211yescharacteristic, complemented
69#15689063C2211yescharacteristic, complemented
70#15689061C2211yescharacteristic, complemented
71#15689059C2211yescharacteristic
72#15689059C2211yescharacteristic
73#15689059C2211yescharacteristic
74#15689057C2211yescharacteristic, complemented
75#15689057C2211yescharacteristic, complemented
76#15689056C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689054C2211yescharacteristic, complemented
79#15689054C2211yescharacteristic, complemented
80#15689053C2211yescharacteristic, complemented
81#15689053C2211yescharacteristic, complemented
82#15689046C2211yescharacteristic
83#15689046C2211yescharacteristic
84#15689046C2211yescharacteristic
85#15689046C2211yescharacteristic
86#15689046C2211yescharacteristic
87#15689046C2211yescharacteristic
88#15689044C2211yescharacteristic, complemented
89#15689043C2211yescharacteristic, complemented
90#15689043C2211yescharacteristic, complemented
91#15689042C2211yescharacteristic, complemented
92#15689035C2211yescharacteristic
93#15689035C2211yescharacteristic
94#15689035C2211yescharacteristic
95#15689030C2211yescharacteristic, complemented
96#15689028C2211yescharacteristic, complemented
97#15689027C2211yescharacteristic, complemented
98#15689027C2211yescharacteristic, complemented
99#15689022C2211yescharacteristic, complemented
100#15689020C2211yescharacteristic, complemented
101#15689020C2211yescharacteristic, complemented
102#15689020C2211yescharacteristic, complemented
103#15689020C2211yescharacteristic, complemented
104#15689019C2211yescharacteristic, complemented
105#15689018C2211yescharacteristic, complemented
106#15689018C2211yescharacteristic, complemented
107#15689018C2211yescharacteristic, complemented
108#15689018C2211yescharacteristic, complemented
109#15689018C2211yescharacteristic, complemented
110#15689018C2211yescharacteristic, complemented
111#15689009C2211yescharacteristic, complemented
112#15689009C2211yescharacteristic, complemented
113#15689008C2211yescharacteristic, complemented
114#15689008C2211yescharacteristic, complemented
115#15689005C2211yescharacteristic, complemented
116#15689005C2211yescharacteristic, complemented
117#15689004C2211yescharacteristic, complemented
118#15689004C2211yescharacteristic, complemented
119#15688998C2211yescharacteristic
120#15688998C2211yescharacteristic
121#15688998C2211yescharacteristic
122#15688998C2211yescharacteristic
123#15688996C2211yescharacteristic
124#15688996C2211yescharacteristic
125#15688996C2211yescharacteristic
126#15688996C2211yescharacteristic
127#15688995C2211yescharacteristic
128#15688995C2211yescharacteristic
129#15688995C2211yescharacteristic
130#15688995C2211yescharacteristic
131#15688992C2211yescharacteristic, complemented
132#15688992C2211yescharacteristic, complemented
133#15688987C2211yescharacteristic, complemented
134#15688987C2211yescharacteristic, complemented
135#15688984C2211yescharacteristic
136#15688984C2211yescharacteristic
137#15688983C2211yescharacteristic
138#15688983C2211yescharacteristic
139#15688981C2211yescharacteristic
140#15688981C2211yescharacteristic
141#15688981C2211yescharacteristic
142#15688981C2211yescharacteristic
143#15688981C2211yescharacteristic
144#15688981C2211yescharacteristic
145#15688981C2211yescharacteristic
146#15688981C2211yescharacteristic
147#15688979C2211yescharacteristic
148C4⋊C4×Dic47C2211yescharacteristic, complemented
149C4⋊C4×Dic47C2211yescharacteristic, complemented
150C4⋊C4×Dic47C2211yescharacteristic, complemented
151C4⋊C4×Dic47C2211yescharacteristic, complemented
152C4⋊C4×Dic47C2211yescharacteristic, complemented
153C4⋊C4×Dic47C2211yescharacteristic, complemented
154#15688974C2211yescharacteristic, complemented
155#15688974C2211yescharacteristic, complemented
156#15688974C2211yescharacteristic, complemented
157#15688974C2211yescharacteristic, complemented
158#15688974C2211yescharacteristic, complemented
159#15688974C2211yescharacteristic, complemented
160C22⋊C4×Dic47C2211yescharacteristic
161C22⋊C4×Dic47C2211yescharacteristic
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C22⋊C4×Dic47C2211yescharacteristic
165C22⋊C4×Dic47C2211yescharacteristic
166C22⋊C4×Dic47C2211yescharacteristic
167C22⋊C4×Dic47C2211yescharacteristic
168C22⋊C4×Dic47C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170C22⋊C4×Dic47C2211yescharacteristic
171C22⋊C4×Dic47C2211yescharacteristic
172C2×C47⋊#95C2211yescharacteristic
173C2×C47⋊#95C2211yescharacteristic
174C2×C22⋊Q8×C47C2211yescharacteristic
175C2×C22⋊Q8×C47C2211yescharacteristic
176C22×C22⋊C4×C47C2211yescharacteristic
177C22×C22⋊C4×C47C2211yescharacteristic
178C47×#399C2211yescharacteristic
179C47×#396C2211yescharacteristic
180C47×#396C2211yescharacteristic
181C47×#393C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#385C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C47×#380C2211yescharacteristic
187C47×#380C2211yescharacteristic
188C47×#379C2211yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C23×Dic47—24no—
193C23×Dic47—24no—
194C23×Dic47Q818yescomplemented
195C23×Dic47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205#13094023—24no—
206#13094022—24no—
207#13094014—24no—
208#13094014—24no—
209#13094003—24no—
210#13094003—24no—
211#13094001—24no—
212#13094001—24no—
213#13094001—24no—
214#13094001—24no—
215Q8×Dic47—24no—
216#13093989—24no—
217#13093989—24no—
218#13093989—24no—
219#13093980—24no—
220#13093980—24no—
221#13093980—24no—
222#13093980—24no—
223#13093980—24no—
224#13093980—24no—
225#13093980—24no—
226#13093980—24no—
227#13093980—24no—
228#13093980D418yes—
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×Dic47⋊C4—24no—
239C2×Dic47⋊C4—24no—
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
270C2×C22⋊Dic47—24no—
271C2×C22⋊Dic47—24no—
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×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C4×Dic47—24no—
287C2×C4×Dic47—24no—
288C2×C4×Dic47—24no—
289C2×C4×Dic47—24no—
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C2×C4×Dic47C2311yescharacteristic
308C2×C4×Dic47C2311yescharacteristic
309C2×C4×Dic47C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C25×C47C2311yescharacteristic
345C22×Q8×C47C2311yescharacteristic
346C23×C4×C47C2311yescharacteristic
347C23×C4×C47C2311yescharacteristic
348C23×C4×C47C2311yescharacteristic
349C23×C4×C47C2311yescharacteristic
350C22⋊Q8×C47—24no—
351C22⋊Q8×C47—24no—
352C2×C4⋊C4×C47C2311yescharacteristic
353C2×C4⋊C4×C47C2311yescharacteristic
354C2×C4⋊C4×C47C2311yescharacteristic
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×C47—24no—
362C2×C22⋊C4×C47—24no—
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×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383C24×C47—22no—
384C24×C47—22no—
385C24×C47—22no—
386C24×C47—22no—
387C24×C47—41no—
388C24×C47—41no—
389C24×C47C2×Q814yes—
390C24×C47C2411yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C2×Q8×C47—22no—
394C2×Q8×C47—22no—
395C2×Q8×C47—41no—
396C22×C4×C47—22no—
397C22×C4×C47—22no—
398C22×C4×C47—22no—
399C22×C4×C47—22no—
400C22×C4×C47—22no—
401C22×C4×C47—22no—
402C22×C4×C47—22no—
403C22×C4×C47—22no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47—41no—
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
420C22×Dic47—22no—
421C22×Dic47—22no—
422C22×Dic47—232no—
423C22×Dic47—22no—
424C22×Dic47—22no—
425C22×Dic47—22no—
426C22×Dic47—22no—
427C22×Dic47—22no—
428C22×Dic47—22no—
429C22×Dic47—22no—
430C22×Dic47—22no—
431C22×Dic47—22no—
432C22×Dic47—22no—
433C22×Dic47—22no—
434C22×Dic47—22no—
435C22×Dic47—22no—
436C22×Dic47—22no—
437C22×Dic47—22no—
438C22×Dic47—22no—
439C22×Dic47—41no—
440C22×Dic47—41no—
441C22×Dic47—41no—
442C22×Dic47—41no—
443C22×Dic47C2×D414yes—
444C22×Dic47C2×Q814yes—
445C22×Dic47C2×Q814yes—
446C22×Dic47C2×Q814yes—
447C22×Dic47C2×Q814yes—
448C22×Dic47C2×Q814yes—
449C22×Dic47C2×Q814yes—
450C22×Dic47#4114yes—
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
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C2×Dic94—22no—
468C2×Dic94—22no—
469C2×Dic94—22no—
470C2×Dic94—22no—
471C2×Dic94—22no—
472C2×Dic94—22no—
473C2×Dic94—41no—
474C2×Dic94—41no—
475C2×Dic94—41no—
476C4⋊C4×C47—22no—
477C4⋊C4×C47—22no—
478C4⋊C4×C47—22no—
479C4⋊C4×C47—22no—
480C4⋊C4×C47—22no—
481C4⋊C4×C47—22no—
482C4⋊C4×C47—41no—
483C4⋊C4×C47—41no—
484C4⋊C4×C47—41no—
485C22⋊C4×C47—22no—
486C22⋊C4×C47—22no—
487C22⋊C4×C47—22no—
488C22⋊C4×C47—22no—
489C22⋊C4×C47—22no—
490C22⋊C4×C47—22no—
491C22⋊C4×C47—22no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—41no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47C2×D414yes—
498C22⋊C4×C47#4114yes—
499C22⋊Dic47—22no—
500C22⋊Dic47—22no—
501C22⋊Dic47—22no—
502C22⋊Dic47—22no—
503C22⋊Dic47—22no—
504C22⋊Dic47—22no—
505C22⋊Dic47—22no—
506C22⋊Dic47—22no—
507C22⋊Dic47—22no—
508C22⋊Dic47—22no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511C22⋊Dic47C2×D414yes—
512C22⋊Dic47#4114yes—
513C4⋊Dic47—22no—
514C4⋊Dic47—22no—
515C4⋊Dic47—22no—
516C4⋊Dic47—22no—
517C4⋊Dic47—22no—
518C4⋊Dic47—22no—
519C4⋊Dic47—41no—
520C4⋊Dic47—41no—
521C4⋊Dic47—41no—
522Dic47⋊C4—22no—
523Dic47⋊C4—22no—
524Dic47⋊C4—22no—
525Dic47⋊C4—22no—
526Dic47⋊C4—22no—
527Dic47⋊C4—22no—
528Dic47⋊C4—22no—
529Dic47⋊C4—22no—
530Dic47⋊C4—22no—
531Dic47⋊C4—22no—
532Dic47⋊C4—22no—
533Dic47⋊C4—22no—
534Dic47⋊C4—22no—
535Dic47⋊C4—22no—
536Dic47⋊C4—22no—
537Dic47⋊C4—22no—
538Dic47⋊C4—22no—
539Dic47⋊C4—22no—
540Dic47⋊C4—22no—
541Dic47⋊C4—22no—
542Dic47⋊C4—22no—
543Dic47⋊C4—22no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4C2×D414yes—
551Dic47⋊C4C2×D414yes—
552C4×Dic47—22no—
553C4×Dic47—22no—
554C4×Dic47—22no—
555C4×Dic47—22no—
556C4×Dic47—22no—
557C4×Dic47—22no—
558C4×Dic47—22no—
559C4×Dic47—22no—
560C4×Dic47—22no—
561C4×Dic47—22no—
562C4×Dic47—22no—
563C4×Dic47—22no—
564C4×Dic47—22no—
565C4×Dic47—22no—
566C4×Dic47—22no—
567C4×Dic47—22no—
568C4×Dic47—22no—
569C4×Dic47—22no—
570C4×Dic47C2×D414yes—
571C4×Dic47C2×D414yes—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—28no—
581C23×C47—28no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—44no—
589C23×C47—44no—
590C23×C47—44no—
591C23×C47—44no—
592C23×C47—44no—
593C23×C47C22×D412yes—
594C23×C47C22×Q812yes—
595C23×C47C22×Q812yes—
596C23×C47C22×Q812yes—
597C23×C47C2×#4112yes—
598C23×C47C2×#4112yes—
599C23×C47C2×#4112yes—
600C23×C47C2511yescharacteristic
601Q8×C47—44no—
602C2×C4×C47—21no—
603C2×C4×C47—21no—
604C2×C4×C47—21no—
605C2×C4×C47—21no—
606C2×C4×C47—21no—
607C2×C4×C47—21no—
608C2×C4×C47—21no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—44no—
635C2×C4×C47—44no—
636C2×C4×C47—44no—
637C2×C4×C47—44no—
638C2×C4×C47C22×D412yes—
639C2×C4×C47C22×D412yes—
640C2×C4×C47C2×#4112yes—
641C2×C4×C47C2×#4112yes—
642C2×Dic47—28no—
643C2×Dic47—21no—
644C2×Dic47—21no—
645C2×Dic47—21no—
646C2×Dic47—21no—
647C2×Dic47—21no—
648C2×Dic47—21no—
649C2×Dic47—21no—
650C2×Dic47—21no—
651C2×Dic47—21no—
652C2×Dic47—21no—
653C2×Dic47—21no—
654C2×Dic47—21no—
655C2×Dic47—28no—
656C2×Dic47—28no—
657C2×Dic47—28no—
658C2×Dic47—28no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—44no—
684C2×Dic47—44no—
685C2×Dic47—44no—
686C2×Dic47—44no—
687C2×Dic47C22⋊Q8116yescomplemented
688C2×Dic47C22×D412yes—
689C2×Dic47C22×D412yes—
690C2×Dic47C22×D412yes—
691C2×Dic47C22×D412yes—
692C2×Dic47C22×Q812yes—
693C2×Dic47C22×Q812yes—
694C2×Dic47C22×Q812yes—
695C2×Dic47C22×Q812yes—
696C2×Dic47C2×#4112yes—
697C2×Dic47C2×#4112yes—
698C2×Dic47C2×#4112yes—
699C2×Dic47C2×#4112yes—
700Dic94—44no—
701Dic94—44no—
702Dic94—44no—
703#34739—471nomaximal, Sylow
704C22×C47—22no—
705C22×C47—22no—
706C22×C47—22no—
707C22×C47—22no—
708C22×C47—22no—
709C22×C47—22no—
710C22×C47—22no—
711C22×C47—22no—
712C22×C47—22no—
713C22×C47—22no—
714C22×C47—22no—
715C22×C47—22no—
716C22×C47—22no—
717C22×C47—22no—
718C22×C47—22no—
719C22×C47—416no—
720C22×C47—41no—
721C22×C47—41no—
722C22×C47—41no—
723C22×C47—41no—
724C22×C47C2×C22⋊Q814yes—
725C22×C47#53314yescomplemented
726C22×C47C23×D411yescharacteristic
727C22×C47C23×Q811yescharacteristic
728C22×C47C22×#4111yescharacteristic
729C22×C47C22×#4111yescharacteristic
730C22×C47C22×#4111yescharacteristic
731C22×C47#58511yescharacteristic
732C22×C47#58511yescharacteristic
733C4×C47—22no—
734C4×C47—22no—
735C4×C47—22no—
736C4×C47—22no—
737C4×C47—41no—
738C4×C47—41no—
739C4×C47—41no—
740C4×C47—41no—
741C4×C47—41no—
742C4×C47—41no—
743C4×C47—41no—
744C4×C47—41no—
745Dic47—22no—
746Dic47—22no—
747Dic47—22no—
748Dic47—22no—
749Dic47—22no—
750Dic47—22no—
751Dic47—41no—
752Dic47—41no—
753Dic47—41no—
754Dic47—41no—
755Dic47—41no—
756Dic47—41no—
757Dic47—41no—
758Dic47—41no—
759Dic47C2×C22⋊Q814yes—
760Dic47C2×C22⋊Q814yes—
761C2×#533—471no—
762C22×#117—471no—
763#2442—471no—
764#2442—471no—
765#2441—471no—
766#2441—471no—
767#2440—471no—
768#2440—471no—
769#2439—471no—
770#2439—471no—
771#2438—471no—
772#2438—471no—
773#2438—471no—
774#2438—471no—
775#2437—471no—
776#2437—471no—
777#2437—471no—
778#2437D4711yescharacteristic
779#2396—471no—
780#2396—471no—
781#2396—471no—
782#2396—471no—
783C4×C22⋊Q8—471no—
784C4×C22⋊Q8—471no—
785C4×C22⋊Q8—471no—
786C4×C22⋊Q8—471no—
787#2296—471no—
788#2296—471no—
789#2285—471no—
790#2280—471no—
791C2×C4×C22⋊C4—471no—
792C2×C47—24no—
793C2×C47—24no—
794C2×C47—42no—
795C2×C47C22×C22⋊Q811yescharacteristic
796C2×C47C2×#53311yescharacteristic
797C2×C47#345811yescharacteristic
798C2×C47D4×#4111yescharacteristic
799C2×C47D4×#4111yescharacteristic
800C2×C47#347511yescharacteristic
801C2×C47#347511yescharacteristic
802C24×C4—471no—
803#533—948no—
804C2×C4⋊Q8—471no—
805C2×C4⋊Q8—471no—
806C2×#125—471no—
807C2×#125—471no—
808C2×C22⋊Q8—471no—
809C2×C22⋊Q8—471no—
810C2×C22⋊Q8—471no—
811C2×C22⋊Q8—471no—
812C2×C22⋊Q8—471no—
813C2×C22⋊Q8—471no—
814C2×C22⋊Q8C2×D4711yescharacteristic
815C2×C22⋊Q8C2×D4711yescharacteristic
816C2×C4×Q8—471no—
817C2×C4×Q8—471no—
818C2×C4×Q8—471no—
819C2×C4×Q8—471no—
820C2×#117—471no—
821C2×#117—471no—
822C2×#117—471no—
823C2×#117—471no—
824C2×#117—471no—
825C2×#117—471no—
826C2×#117—471no—
827C2×#117—471no—
828C2×#117—471no—
829C2×#117—471no—
830C2×#117—948no—
831C22×C4⋊C4—471no—
832C22×C4⋊C4—471no—
833C22×C22⋊C4—471no—
834C22×C22⋊C4—471no—
835C22×C22⋊C4C2×D4711yescharacteristic
836C22×C22⋊C4C2×D4711yescharacteristic
837C22×C42—471no—
838C22×C42—471no—
839C22×C42—471no—
840C22×C42—471no—
841#400—471no—
842#400—471no—
843#400—471no—
844#400—471no—
845#399—471no—
846#399—471no—
847#399—471no—
848#399C2×D4711yescharacteristic
849#398—471no—
850#398—471no—
851#398—471no—
852#398—471no—
853#398—471no—
854#398—471no—
855#398—471no—
856#398—471no—
857#396—471no—
858#396—471no—
859#396—471no—
860#396—471no—
861#396—471no—
862#396—471no—
863#396C2×D4711yescharacteristic
864#396C2×D4711yescharacteristic
865#395—471no—
866#395—471no—
867#395—471no—
868#395—471no—
869#393—471no—
870#393—471no—
871#393—471no—
872#393C2×D4711yescharacteristic
873#391—471no—
874#391—471no—
875#391—471no—
876#391—471no—
877#389—471no—
878#389—471no—
879#389—471no—
880#389—471no—
881#389—471no—
882#389—471no—
883#389—471no—
884#389—471no—
885#389—471no—
886#389—471no—
887#389—471no—
888#389—471no—
889#387—471no—
890#387—471no—
891#387—471no—
892#387—471no—
893#387—471no—
894#387—471no—
895#387—471no—
896#387—471no—
897#385—471no—
898#385—471no—
899#385—471no—
900#385—471no—
901#385—471no—
902#385—471no—
903#385—471no—
904#385—471no—
905#385—471no—
906#385—471no—
907#385—471no—
908#385—471no—
909#385C2×D4711yescharacteristic
910#385C2×D4711yescharacteristic
911#385C2×D4711yescharacteristic
912#385C2×D4711yescharacteristic
913#384—471no—
914#384—471no—
915#382—471no—
916#382—471no—
917#381—471no—
918#381—471no—
919#380—471no—
920#380—471no—
921#380—471no—
922#380—471no—
923#380—471no—
924#380—471no—
925#380—471no—
926#380—471no—
927#380—471no—
928#380—471no—
929#380C2×D4711yescharacteristic
930#380C2×D4711yescharacteristic
931#379—471no—
932#379C2×D4711yescharacteristic
933C4×C4⋊C4—471no—
934C4×C4⋊C4—471no—
935C4×C4⋊C4—471no—
936C4×C4⋊C4—471no—
937C4×C4⋊C4—471no—
938C4×C4⋊C4—471no—
939C4×C4⋊C4—471no—
940C4×C4⋊C4—471no—
941C4×C4⋊C4—471no—
942C4×C4⋊C4—471no—
943C4×C4⋊C4—471no—
944C4×C4⋊C4—471no—
945C4×C22⋊C4—471no—
946C4×C22⋊C4—471no—
947C4×C22⋊C4—471no—
948C4×C22⋊C4—471no—
949C4×C22⋊C4—471no—
950C4×C22⋊C4—471no—
951C4×C22⋊C4—471no—
952C4×C22⋊C4—471no—
953C4×C22⋊C4—471no—
954C4×C22⋊C4—471no—
955C4×C22⋊C4—471no—
956C4×C22⋊C4—471no—
957C2×#95—471no—
958C2×#95—471no—
959C47#3473911yescharacteristic, complemented, Sylow
960C25C22×D4711yescharacteristic
961C22×Q8—471no—
962C22×Q8—471no—
963C22×Q8—471no—
964C22×Q8C22×D4711yescharacteristic
965C23×C4—471no—
966C23×C4—478no—
967C23×C4—471no—
968C23×C4—471no—
969C23×C4—471no—
970C23×C4—471no—
971C23×C4—471no—
972C23×C4—471no—
973C23×C4—471no—
974C23×C4—471no—
975C23×C4—471no—
976C23×C4—944no—
977C23×C4—944no—
978C23×C4C22×D4711yescharacteristic
979C23×C4C22×D4711yescharacteristic
980C23×C4C22×D4711yescharacteristic
981C23×C4C22×D4711yescharacteristic
982C4⋊Q8—944no—
983C4⋊Q8—944no—
984#125—944no—
985#125—944no—
986C22⋊Q8—24no—
987C22⋊Q8—24no—
988C22⋊Q8—944no—
989C22⋊Q8—944no—
990C22⋊Q8—944no—
991C22⋊Q8—944no—
992C22⋊Q8—944no—
993C22⋊Q8—944no—
994C4×Q8—944no—
995C4×Q8—944no—
996C4×Q8—944no—
997C4×Q8—944no—
998#117—478no—
999#117—944no—
1000#117—944no—
1001#117—944no—
1002#117—944no—
1003#117—944no—
1004#117—944no—
1005#117—944no—
1006#117—944no—
1007#117—944no—
1008C2×C4⋊C4—471no—
1009C2×C4⋊C4—471no—
1010C2×C4⋊C4—471no—
1011C2×C4⋊C4—471no—
1012C2×C4⋊C4—471no—
1013C2×C4⋊C4—471no—
1014C2×C4⋊C4—471no—
1015C2×C4⋊C4—471no—
1016C2×C4⋊C4—471no—
1017C2×C4⋊C4—471no—
1018C2×C4⋊C4—471no—
1019C2×C4⋊C4—471no—
1020C2×C4⋊C4—471no—
1021C2×C4⋊C4—471no—
1022C2×C4⋊C4—471no—
1023C2×C4⋊C4—471no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—471no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4—471no—
1030C2×C4⋊C4—471no—
1031C2×C4⋊C4—471no—
1032C2×C4⋊C4—471no—
1033C2×C4⋊C4—471no—
1034C2×C4⋊C4—471no—
1035C2×C4⋊C4—471no—
1036C2×C4⋊C4—471no—
1037C2×C4⋊C4—471no—
1038C2×C4⋊C4—471no—
1039C2×C4⋊C4—471no—
1040C2×C4⋊C4—471no—
1041C2×C4⋊C4—471no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—944no—
1048C2×C4⋊C4—944no—
1049C2×C4⋊C4C22×D4711yescharacteristic
1050C2×C4⋊C4C22×D4711yescharacteristic
1051C2×C4⋊C4C22×D4711yescharacteristic
1052C2×C4⋊C4C22×D4711yescharacteristic
1053C2×C4⋊C4C22×D4711yescharacteristic
1054C2×C4⋊C4C22×D4711yescharacteristic
1055C2×C4⋊C4C22×D4711yescharacteristic
1056C2×C4⋊C4C22×D4711yescharacteristic
1057C2×C4⋊C4C22×D4711yescharacteristic
1058C2×C22⋊C4—24no—
1059C2×C22⋊C4—24no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—944no—
1075C2×C22⋊C4—944no—
1076C2×C22⋊C4C22×D4711yescharacteristic
1077C2×C22⋊C4C22×D4711yescharacteristic
1078C2×C22⋊C4C22×D4711yescharacteristic
1079C2×C22⋊C4C22×D4711yescharacteristic
1080C2×C22⋊C4C22×D4711yescharacteristic
1081C2×C22⋊C4C22×D4711yescharacteristic
1082C2×C22⋊C4C22×D4711yescharacteristic
1083C2×C22⋊C4C22×D4711yescharacteristic
1084C2×C22⋊C4C22×D4711yescharacteristic
1085C2×C22⋊C4C22×D4711yescharacteristic
1086C2×C22⋊C4C22×D4711yescharacteristic
1087C2×C22⋊C4C22×D4711yescharacteristic
1088C2×C22⋊C4C22×D4711yescharacteristic
1089C2×C22⋊C4C22×D4711yescharacteristic
1090C2×C42—471no—
1091C2×C42—471no—
1092C2×C42—471no—
1093C2×C42—471no—
1094C2×C42—471no—
1095C2×C42—471no—
1096C2×C42—471no—
1097C2×C42—471no—
1098C2×C42—471no—
1099C2×C42—471no—
1100C2×C42—471no—
1101C2×C42—471no—
1102C2×C42—471no—
1103C2×C42—471no—
1104C2×C42—471no—
1105C2×C42—471no—
1106C2×C42—471no—
1107C2×C42—471no—
1108C2×C42—471no—
1109C2×C42—471no—
1110C2×C42—944no—
1111C2×C42—944no—
1112C2×C42—944no—
1113C2×C42—944no—
1114#95—471no—
1115#95—471no—
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95C22×D4711yescharacteristic
1149#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154C24—22no—
1155C24—22no—
1156C24—22no—
1157C24—22no—
1158C24—41no—
1159C24—41no—
1160C24Q8×D4714yes—
1161C24C23×D4711yescharacteristic
1162C24C23×D4711yescharacteristic
1163C24C23×D4711yescharacteristic
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—41no—
1167C2×Q8—942no—
1168C2×Q8—942no—
1169C2×Q8—942no—
1170C2×Q8—942no—
1171C2×Q8—942no—
1172C2×Q8—942no—
1173C2×Q8—1881no—
1174C2×Q8—1881no—
1175C2×Q8—1881no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—474no—
1189C22×C4—474no—
1190C22×C4—474no—
1191C22×C4—471no—
1192C22×C4—471no—
1193C22×C4—474no—
1194C22×C4—474no—
1195C22×C4—474no—
1196C22×C4—474no—
1197C22×C4—474no—
1198C22×C4—471no—
1199C22×C4—471no—
1200C22×C4—471no—
1201C22×C4—471no—
1202C22×C4—471no—
1203C22×C4—471no—
1204C22×C4—471no—
1205C22×C4—471no—
1206C22×C4—471no—
1207C22×C4—471no—
1208C22×C4—471no—
1209C22×C4—471no—
1210C22×C4—471no—
1211C22×C4—471no—
1212C22×C4—942no—
1213C22×C4—942no—
1214C22×C4—942no—
1215C22×C4—942no—
1216C22×C4—9432no—
1217C22×C4—942no—
1218C22×C4—942no—
1219C22×C4—942no—
1220C22×C4—942no—
1221C22×C4—942no—
1222C22×C4—942no—
1223C22×C4—942no—
1224C22×C4—942no—
1225C22×C4—942no—
1226C22×C4—942no—
1227C22×C4—942no—
1228C22×C4—942no—
1229C22×C4—942no—
1230C22×C4—942no—
1231C22×C4—1881no—
1232C22×C4—1881no—
1233C22×C4—1881no—
1234C22×C4—1881no—
1235C22×C4C23×D4711yescharacteristic
1236C22×C4C23×D4711yescharacteristic
1237C22×C4C23×D4711yescharacteristic
1238C22×C4C23×D4711yescharacteristic
1239C22×C4C23×D4711yescharacteristic
1240C22×C4C23×D4711yescharacteristic
1241C22×C4C23×D4711yescharacteristic
1242C22×C4C23×D4711yescharacteristic
1243C22×C4C23×D4711yescharacteristic
1244C22×C4C23×D4711yescharacteristic
1245C22×C4C23×D4711yescharacteristic
1246C22×C4C23×D4711yescharacteristic
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—474no—
1257C4⋊C4—474no—
1258C4⋊C4—942no—
1259C4⋊C4—942no—
1260C4⋊C4—942no—
1261C4⋊C4—942no—
1262C4⋊C4—942no—
1263C4⋊C4—942no—
1264C4⋊C4—942no—
1265C4⋊C4—942no—
1266C4⋊C4—942no—
1267C4⋊C4—942no—
1268C4⋊C4—942no—
1269C4⋊C4—942no—
1270C4⋊C4—942no—
1271C4⋊C4—942no—
1272C4⋊C4—942no—
1273C4⋊C4—942no—
1274C4⋊C4—942no—
1275C4⋊C4—942no—
1276C4⋊C4—942no—
1277C4⋊C4—942no—
1278C4⋊C4—942no—
1279C4⋊C4—942no—
1280C4⋊C4—942no—
1281C4⋊C4—942no—
1282C4⋊C4—942no—
1283C4⋊C4—942no—
1284C4⋊C4—942no—
1285C4⋊C4—942no—
1286C4⋊C4—1881no—
1287C4⋊C4—1881no—
1288C4⋊C4—1881no—
1289C4⋊C4—1881no—
1290C4⋊C4—1881no—
1291C4⋊C4—1881no—
1292C4⋊C4—1881no—
1293C4⋊C4—1881no—
1294C4⋊C4—1881no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—474no—
1308C22⋊C4—474no—
1309C22⋊C4—942no—
1310C22⋊C4—942no—
1311C22⋊C4—942no—
1312C22⋊C4—942no—
1313C22⋊C4—942no—
1314C22⋊C4—942no—
1315C22⋊C4—942no—
1316C22⋊C4—942no—
1317C22⋊C4—942no—
1318C22⋊C4—942no—
1319C22⋊C4—1881no—
1320C22⋊C4—1881no—
1321C22⋊C4D4×D4714yes—
1322C22⋊C4#1062535214yes—
1323C42—474no—
1324C42—474no—
1325C42—942no—
1326C42—942no—
1327C42—942no—
1328C42—942no—
1329C42—942no—
1330C42—942no—
1331C42—942no—
1332C42—942no—
1333C42—942no—
1334C42—942no—
1335C42—942no—
1336C42—942no—
1337C42—942no—
1338C42—942no—
1339C42—942no—
1340C42—942no—
1341C42—942no—
1342C42—942no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—28no—
1352C23—28no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—44no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23—44no—
1364C23C2×D4×D4712yes—
1365C23C2×Q8×D4712yes—
1366C23C2×Q8×D4712yes—
1367C23C2×Q8×D4712yes—
1368C23#41×D4712yes—
1369C23#41×D4712yes—
1370C23C2×#1062535212yes—
1371C23C24×D4711yescharacteristic
1372Q8—44no—
1373Q8—1884no—
1374Q8—1884no—
1375Q8—1884no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—4716no—
1413C2×C4—472no—
1414C2×C4—472no—
1415C2×C4—472no—
1416C2×C4—472no—
1417C2×C4—472no—
1418C2×C4—472no—
1419C2×C4—472no—
1420C2×C4—472no—
1421C2×C4—472no—
1422C2×C4—472no—
1423C2×C4—472no—
1424C2×C4—472no—
1425C2×C4—948no—
1426C2×C4—948no—
1427C2×C4—948no—
1428C2×C4—948no—
1429C2×C4—948no—
1430C2×C4—941no—
1431C2×C4—941no—
1432C2×C4—941no—
1433C2×C4—941no—
1434C2×C4—941no—
1435C2×C4—941no—
1436C2×C4—941no—
1437C2×C4—941no—
1438C2×C4—941no—
1439C2×C4—941no—
1440C2×C4—941no—
1441C2×C4—941no—
1442C2×C4—941no—
1443C2×C4—941no—
1444C2×C4—941no—
1445C2×C4—941no—
1446C2×C4—941no—
1447C2×C4—941no—
1448C2×C4—941no—
1449C2×C4—941no—
1450C2×C4—941no—
1451C2×C4—941no—
1452C2×C4—941no—
1453C2×C4—941no—
1454C2×C4—941no—
1455C2×C4—941no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—941no—
1462C2×C4—941no—
1463C2×C4—941no—
1464C2×C4—941no—
1465C2×C4—941no—
1466C2×C4—1884no—
1467C2×C4—1884no—
1468C2×C4—1884no—
1469C2×C4—1884no—
1470C2×C4C2×D4×D4712yes—
1471C2×C4C2×D4×D4712yes—
1472C2×C4C2×#1062535212yes—
1473C2×C4C2×#1062535212yes—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—416no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22C22⋊Q8×D4714yes—
1495C22#1568967514yescomplemented
1496C22C22×D4×D4711yescharacteristic
1497C22C22×Q8×D4711yescharacteristic
1498C22C2×#41×D4711yescharacteristic
1499C22C2×#41×D4711yescharacteristic
1500C22C22×#1062535211yescharacteristic
1501C22#1568995811yescharacteristic
1502C22#1568995811yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—22no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—474no—
1516C4—474no—
1517C4—942no—
1518C4—942no—
1519C4—942no—
1520C4—942no—
1521C4—942no—
1522C4—942no—
1523C4—1881no—
1524C4—1881no—
1525C4—1881no—
1526C4—1881no—
1527C4—1881no—
1528C4—1881no—
1529C4—1881no—
1530C4—1881no—
1531C2—24no—
1532C2—24no—
1533C2—42no—
1534C2C2×C22⋊Q8×D4711yescharacteristic
1535C2C2×#1568967511yescharacteristic
1536C2#2025679011yescharacteristic
1537C2D4×#1062535211yescharacteristic
1538C2#2025687211yescharacteristic
1539C2#2025693911yescharacteristic
1540C2#2025694311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2437C2
prime radicalC25×C47C23
hypercenter#2437D47
hypocenterC47#34739
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2437

Complements

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

NH ≅ G/Ntype
1. C2×#15689675C2semidirect
3. #20247111C2semidirect
4. #20247109C2semidirect
5. #20247096C2semidirect
6. #20247094C2semidirect
7. #20247089C2semidirect
8. #20247087C2semidirect
9. #20247074C2semidirect
10. #20247072C2semidirect
11. #20247070C2semidirect
12. #20247068C2semidirect
13. #20247062C2semidirect
14. #20247060C2semidirect
18. #20246663C2semidirect
19. #20246663C2semidirect
20. #20246657C2semidirect
21. #20246655C2semidirect
22. C22⋊Q8×Dic47C2semidirect
23. #20245920C2semidirect
24. #20245920C2semidirect
25. #20245916C2semidirect
26. #20245867C2semidirect
27. #20245867C2semidirect
28. #20245790C2semidirect
34. C2×#13094023C22semidirect
35. C2×#13094022C22semidirect
36. C2×#13094014C22semidirect
37. C2×#13094014C22semidirect
44. C2×Q8×Dic47C22semidirect
45. C2×#13093989C22semidirect
46. C2×#13093989C22semidirect
47. C2×#13093989C22semidirect
67. #15689064C22semidirect
68. #15689064C22semidirect
69. #15689063C22semidirect
70. #15689061C22semidirect
74. #15689057C22semidirect
75. #15689057C22semidirect
76. #15689056C22semidirect
77. #15689056C22semidirect
78. #15689054C22semidirect
79. #15689054C22semidirect
80. #15689053C22semidirect
81. #15689053C22semidirect
88. #15689044C22semidirect
89. #15689043C22semidirect
90. #15689043C22semidirect
91. #15689042C22semidirect
95. #15689030C22semidirect
96. #15689028C22semidirect
97. #15689027C22semidirect
98. #15689027C22semidirect
99. #15689022C22semidirect
100. #15689020C22semidirect
101. #15689020C22semidirect
102. #15689020C22semidirect
103. #15689020C22semidirect
104. #15689019C22semidirect
105. #15689018C22semidirect
106. #15689018C22semidirect
107. #15689018C22semidirect
108. #15689018C22semidirect
109. #15689018C22semidirect
110. #15689018C22semidirect
111. #15689009C22semidirect
112. #15689009C22semidirect
113. #15689008C22semidirect
114. #15689008C22semidirect
115. #15689005C22semidirect
116. #15689005C22semidirect
117. #15689004C22semidirect
118. #15689004C22semidirect
131. #15688992C22semidirect
132. #15688992C22semidirect
133. #15688987C22semidirect
134. #15688987C22semidirect
148. C4⋊C4×Dic47C22semidirect
149. C4⋊C4×Dic47C22semidirect
150. C4⋊C4×Dic47C22semidirect
151. C4⋊C4×Dic47C22semidirect
152. C4⋊C4×Dic47C22semidirect
153. C4⋊C4×Dic47C22semidirect
154. #15688974C22semidirect
155. #15688974C22semidirect
156. #15688974C22semidirect
157. #15688974C22semidirect
158. #15688974C22semidirect
159. #15688974C22semidirect
194. C23×Dic47Q8semidirect
687. C2×Dic47C22⋊Q8semidirect
725. C22×C47#533semidirect
959. C47#34739semidirect
1495. C22#15689675semidirect

Maximal subgroups

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

subgroupindex
C2×#156896752
C22×#130939802
#202471112
#202471092
#202470962
#202470942
#202470892
#202470872
#202470742
#202470722
#202470702
#202470682
#202470622
#202470602
#202470542
#202470492
#202466632
#202466572
#202466552
C22⋊Q8×Dic472
#202459202
#202459162
#202458672
#202457902
#202457662
C2×C22⋊C4×Dic472
C47×#24372
#3473947