Finite Group Databasebeta

← #26385062

Subgroups — #26385062

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×#15689677C211yesmaximal, characteristic, complemented
2C2×#117×D47C211yesmaximal, characteristic
3#20247107C211yesmaximal, characteristic, complemented
4#20247105C211yesmaximal, characteristic, complemented
5#20247096C211yesmaximal, characteristic, complemented
6#20247094C211yesmaximal, characteristic, complemented
7#20247085C211yesmaximal, characteristic, complemented
8#20247083C211yesmaximal, characteristic, complemented
9#20247074C211yesmaximal, characteristic, complemented
10#20247072C211yesmaximal, characteristic, complemented
11#20247067C211yesmaximal, characteristic, complemented
12#20247065C211yesmaximal, characteristic, complemented
13#20247059C211yesmaximal, characteristic, complemented
14#20247057C211yesmaximal, characteristic, complemented
15#20247055C211yesmaximal, characteristic
16#20247050C211yesmaximal, characteristic
17#20247050C211yesmaximal, characteristic
18#20247048C211yesmaximal, characteristic
19#20246662C211yesmaximal, characteristic, complemented
20#20246662C211yesmaximal, characteristic, complemented
21#20246656C211yesmaximal, characteristic, complemented
22C4×#13094004C211yesmaximal, characteristic, complemented
23C4×#13094002C211yesmaximal, characteristic, complemented
24C4×#13094002C211yesmaximal, characteristic, complemented
25C4×#13094000C211yesmaximal, characteristic, complemented
26#20245868C211yesmaximal, characteristic, complemented
27#20245868C211yesmaximal, characteristic, complemented
28#20245792C211yesmaximal, characteristic, complemented
29#20245769C211yesmaximal, characteristic
30C4×C22⋊C4×D47C211yesmaximal, characteristic
31C47×#2396C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689677—28no—
34C2×#13094023C2211yescharacteristic, complemented
35C2×#13094022C2211yescharacteristic, complemented
36C2×#13094014C2211yescharacteristic, complemented
37C2×#13094014C2211yescharacteristic, complemented
38C2×#13094004C2211yescharacteristic
39C2×#13094004C2211yescharacteristic
40C2×#13094002C2211yescharacteristic
41C2×#13094002C2211yescharacteristic
42C2×#13094002C2211yescharacteristic
43C2×#13094002C2211yescharacteristic
44C2×#13094000C2211yescharacteristic
45C2×#13094000C2211yescharacteristic
46C2×C4×Dic94C2211yescharacteristic, complemented
47C2×C4×Dic94C2211yescharacteristic, complemented
48C2×C4×Dic94C2211yescharacteristic, complemented
49C2×#13093983C2211yescharacteristic
50C2×#13093982C2211yescharacteristic
51C2×#13093982C2211yescharacteristic
52C2×#13093981C2211yescharacteristic
53C2×#13093981C2211yescharacteristic
54C2×#13093981C2211yescharacteristic
55C2×#13093981C2211yescharacteristic
56C2×#13093980C2211yescharacteristic
57C2×#13093980C2211yescharacteristic
58#117×D47—28no—
59C2×C4⋊C4×D47C2211yescharacteristic
60C2×C4⋊C4×D47C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C22⋊C4×D47C2211yescharacteristic
63C2×C22⋊C4×D47C2211yescharacteristic
64C2×C22⋊C4×D47C2211yescharacteristic
65C2×C42×D47C2211yescharacteristic
66C2×C42×D47C2211yescharacteristic
67C2×C42×D47C2211yescharacteristic
68C2×C42×D47C2211yescharacteristic
69#15689065C2211yescharacteristic, complemented
70#15689065C2211yescharacteristic, complemented
71#15689062C2211yescharacteristic, complemented
72#15689059C2211yescharacteristic
73#15689059C2211yescharacteristic
74#15689059C2211yescharacteristic
75#15689057C2211yescharacteristic, complemented
76#15689057C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689056C2211yescharacteristic, complemented
79#15689055C2211yescharacteristic, complemented
80#15689055C2211yescharacteristic, complemented
81#15689046C2211yescharacteristic
82#15689046C2211yescharacteristic
83#15689046C2211yescharacteristic
84#15689046C2211yescharacteristic
85#15689046C2211yescharacteristic
86#15689046C2211yescharacteristic
87#15689044C2211yescharacteristic, complemented
88#15689044C2211yescharacteristic, complemented
89#15689043C2211yescharacteristic, complemented
90#15689035C2211yescharacteristic
91#15689035C2211yescharacteristic
92#15689035C2211yescharacteristic
93#15689030C2211yescharacteristic, complemented
94#15689028C2211yescharacteristic, complemented
95#15689027C2211yescharacteristic, complemented
96#15689027C2211yescharacteristic, complemented
97#15689022C2211yescharacteristic, complemented
98#15689020C2211yescharacteristic, complemented
99#15689020C2211yescharacteristic, complemented
100#15689020C2211yescharacteristic, complemented
101#15689020C2211yescharacteristic, complemented
102#15689019C2211yescharacteristic, complemented
103#15689018C2211yescharacteristic, complemented
104#15689018C2211yescharacteristic, complemented
105#15689018C2211yescharacteristic, complemented
106#15689018C2211yescharacteristic, complemented
107#15689018C2211yescharacteristic, complemented
108#15689018C2211yescharacteristic, complemented
109#15689009C2211yescharacteristic, complemented
110#15689009C2211yescharacteristic, complemented
111#15689008C2211yescharacteristic, complemented
112#15689008C2211yescharacteristic, complemented
113#15689005C2211yescharacteristic, complemented
114#15689005C2211yescharacteristic, complemented
115#15689004C2211yescharacteristic, complemented
116#15689004C2211yescharacteristic, complemented
117#15688997C2211yescharacteristic
118#15688997C2211yescharacteristic
119#15688997C2211yescharacteristic
120#15688997C2211yescharacteristic
121#15688997C2211yescharacteristic
122#15688997C2211yescharacteristic
123#15688997C2211yescharacteristic
124#15688997C2211yescharacteristic
125#15688994C2211yescharacteristic
126#15688994C2211yescharacteristic
127#15688994C2211yescharacteristic
128#15688994C2211yescharacteristic
129#15688994C2211yescharacteristic
130#15688994C2211yescharacteristic
131#15688994C2211yescharacteristic
132#15688994C2211yescharacteristic
133#15688992C2211yescharacteristic, complemented
134#15688992C2211yescharacteristic, complemented
135#15688987C2211yescharacteristic, complemented
136#15688987C2211yescharacteristic, complemented
137#15688985C2211yescharacteristic
138#15688985C2211yescharacteristic
139#15688982C2211yescharacteristic
140#15688982C2211yescharacteristic
141#15688982C2211yescharacteristic
142#15688982C2211yescharacteristic
143#15688982C2211yescharacteristic
144#15688982C2211yescharacteristic
145#15688981C2211yescharacteristic
146#15688981C2211yescharacteristic
147#15688980C2211yescharacteristic
148#15688980C2211yescharacteristic
149#15688980C2211yescharacteristic
150#15688980C2211yescharacteristic
151#15688978C2211yescharacteristic
152#15688978C2211yescharacteristic
153C4×Dic47⋊C4C2211yescharacteristic, complemented
154C4×Dic47⋊C4C2211yescharacteristic, complemented
155C4×Dic47⋊C4C2211yescharacteristic, complemented
156C4×Dic47⋊C4C2211yescharacteristic, complemented
157C4×Dic47⋊C4C2211yescharacteristic, complemented
158C4×Dic47⋊C4C2211yescharacteristic, complemented
159C4×C4⋊Dic47C2211yescharacteristic, complemented
160C4×C4⋊Dic47C2211yescharacteristic, complemented
161C4×C4⋊Dic47C2211yescharacteristic, complemented
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic
165C4×(C2×D47)⋊C4C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic
168C4×C22⋊Dic47C2211yescharacteristic
169C4×C22⋊Dic47C2211yescharacteristic
170#15688970C2211yescharacteristic
171#15688970C2211yescharacteristic
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C2×C4×Q8×C47C2211yescharacteristic, complemented
175C2×#117×C47C2211yescharacteristic
176C47×#400C2211yescharacteristic, complemented
177C47×#399C2211yescharacteristic
178C47×#398C2211yescharacteristic, complemented
179C47×#398C2211yescharacteristic, complemented
180C47×#396C2211yescharacteristic
181C47×#396C2211yescharacteristic
182C47×#395C2211yescharacteristic, complemented
183C47×#393C2211yescharacteristic
184C4×C4⋊C4×C47C2211yescharacteristic, complemented
185C4×C4⋊C4×C47C2211yescharacteristic, complemented
186C4×C4⋊C4×C47C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic
188C4×C22⋊C4×C47C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C22×C4×D47—24no—
195C22×C4×D47—24no—
196C22×C4×D47Q818yescomplemented
197C22×C4×D47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209#13094023—24no—
210#13094022—24no—
211#13094014—24no—
212#13094014—24no—
213#13094004—24no—
214#13094004—24no—
215#13094002—24no—
216#13094002—24no—
217#13094002—24no—
218#13094002—24no—
219#13094000—24no—
220#13094000—24no—
221C4×Dic94—24no—
222C4×Dic94—24no—
223C4×Dic94—24no—
224#13093983—24no—
225#13093982—24no—
226#13093982—24no—
227#13093981—24no—
228#13093981—24no—
229#13093981—24no—
230#13093981D418yes—
231#13093980—24no—
232#13093980—24no—
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×C4⋊Dic47C2311yescharacteristic
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
270C4⋊C4×D47—24no—
271C4⋊C4×D47—24no—
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C22⋊C4×D47—24no—
295C22⋊C4×D47—24no—
296C22⋊C4×D47—24no—
297C22⋊C4×D47—24no—
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
312C42×D47—24no—
313C42×D47—24no—
314C42×D47—24no—
315C42×D47—24no—
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
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C22×Q8×C47C2311yescharacteristic
347C23×C4×C47C2311yescharacteristic
348C4×Q8×C47—24no—
349#117×C47—24no—
350C2×C4⋊C4×C47C2311yescharacteristic
351C2×C4⋊C4×C47C2311yescharacteristic
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×C47C2311yescharacteristic
362C2×C22⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C42×C47C2311yescharacteristic
368C2×C42×C47C2311yescharacteristic
369C2×C42×C47C2311yescharacteristic
370C2×C42×C47C2311yescharacteristic
371C2×C42×C47C2311yescharacteristic
372C2×C42×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×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
383C24×C47C2411yescharacteristic
384C23×D47—22no—
385C23×D47—22no—
386C23×D47—22no—
387C23×D47—22no—
388C23×D47—41no—
389C23×D47—41no—
390C23×D47C2×Q814yes—
391C23×D47C2411yescharacteristic
392C23×D47C2411yescharacteristic
393C2×Q8×C47—22no—
394C2×Q8×C47—22no—
395C2×Q8×C47—41no—
396C22×C4×C47—22no—
397C22×C4×C47—22no—
398C22×C4×C47C2×Q814yes—
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×Dic47—22no—
414C22×Dic47—22no—
415C22×Dic47C2×Q814yes—
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C2×C4×D47—22no—
431C2×C4×D47—22no—
432C2×C4×D47—22no—
433C2×C4×D47—22no—
434C2×C4×D47—22no—
435C2×C4×D47—22no—
436C2×C4×D47—232no—
437C2×C4×D47—22no—
438C2×C4×D47—22no—
439C2×C4×D47—22no—
440C2×C4×D47—22no—
441C2×C4×D47—22no—
442C2×C4×D47—22no—
443C2×C4×D47—22no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—41no—
454C2×C4×D47—41no—
455C2×C4×D47—41no—
456C2×C4×D47—41no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47C2×D414yes—
462C2×C4×D47C2×Q814yes—
463C2×C4×D47C2×Q814yes—
464C2×C4×D47C2×Q814yes—
465C2×C4×D47C2×Q814yes—
466C2×C4×D47#4114yes—
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—22no—
483C4⋊C4×C47—22no—
484C4⋊C4×C47—41no—
485C4⋊C4×C47—41no—
486C4⋊C4×C47—41no—
487C22⋊C4×C47—22no—
488C22⋊C4×C47—22no—
489C22⋊C4×C47—22no—
490C22⋊C4×C47—22no—
491C22⋊C4×C47—41no—
492C22⋊C4×C47—41no—
493C42×C47—22no—
494C42×C47—22no—
495C42×C47—22no—
496C42×C47—22no—
497C42×C47—22no—
498C42×C47C2×D414yes—
499C22⋊Dic47—22no—
500C22⋊Dic47—22no—
501C22⋊Dic47—22no—
502C22⋊Dic47—22no—
503C22⋊Dic47—41no—
504C22⋊Dic47—41no—
505(C2×D47)⋊C4—22no—
506(C2×D47)⋊C4—22no—
507(C2×D47)⋊C4—22no—
508(C2×D47)⋊C4—22no—
509(C2×D47)⋊C4—22no—
510(C2×D47)⋊C4—22no—
511(C2×D47)⋊C4—22no—
512(C2×D47)⋊C4—22no—
513(C2×D47)⋊C4—22no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—22no—
516(C2×D47)⋊C4—22no—
517(C2×D47)⋊C4C2×D414yes—
518(C2×D47)⋊C4C2×D414yes—
519(C2×D47)⋊C4#4114yes—
520(C2×D47)⋊C4#4114yes—
521C4⋊Dic47—22no—
522C4⋊Dic47—22no—
523C4⋊Dic47—22no—
524C4⋊Dic47—22no—
525C4⋊Dic47—22no—
526C4⋊Dic47—22no—
527C4⋊Dic47—22no—
528C4⋊Dic47—22no—
529C4⋊Dic47—41no—
530C4⋊Dic47—41no—
531C4⋊Dic47—41no—
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—22no—
545Dic47⋊C4—22no—
546Dic47⋊C4—22no—
547Dic47⋊C4—22no—
548Dic47⋊C4—22no—
549Dic47⋊C4—22no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4C2×D414yes—
557Dic47⋊C4C2×D414yes—
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×Dic47—22no—
571C4×Dic47C2×D414yes—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47C22×Q812yes—
579C23×C47C2511yescharacteristic
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—28no—
589C22×D47—28no—
590C22×D47—44no—
591C22×D47—44no—
592C22×D47—44no—
593C22×D47—44no—
594C22×D47—44no—
595C22×D47C22×D412yes—
596C22×D47C22×Q812yes—
597C22×D47C22×Q812yes—
598C22×D47C2×#4112yes—
599C22×D47C2×#4112yes—
600C22×D47C2×#4112yes—
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—28no—
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—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47C22×D412yes—
638C2×C4×C47C22×D412yes—
639C2×C4×C47C22×D412yes—
640C2×C4×C47C22×Q812yes—
641C2×C4×C47C22×Q812yes—
642C2×C4×C47C2×#4112yes—
643C2×C4×C47C2×#4112yes—
644C2×C4×C47C2×#4112yes—
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—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
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×Dic47C22×D412yes—
681C2×Dic47C22×D412yes—
682C2×Dic47C22×D412yes—
683C2×Dic47C22×Q812yes—
684C2×Dic47C22×Q812yes—
685C2×Dic47C2×#4112yes—
686C2×Dic47C2×#4112yes—
687C2×Dic47C2×#4112yes—
688C4×D47—28no—
689C4×D47—28no—
690C4×D47—28no—
691C4×D47—44no—
692C4×D47—44no—
693C4×D47—44no—
694C4×D47—44no—
695C4×D47—44no—
696C4×D47—44no—
697C4×D47—44no—
698C4×D47—44no—
699C4×D47C22⋊Q8116yescomplemented
700Dic94—44no—
701Dic94—44no—
702Dic94—44no—
703#34739—471nomaximal, Sylow
704C22×C47—22no—
705C22×C47—22no—
706C22×C47—22no—
707C22×C47—41no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47C23×D411yescharacteristic
712C22×C47C23×Q811yescharacteristic
713C22×C47C22×#4111yescharacteristic
714C22×C47C22×#4111yescharacteristic
715C22×C47C22×#4111yescharacteristic
716C22×C47#58511yescharacteristic
717C22×C47#58511yescharacteristic
718C2×D47—22no—
719C2×D47—22no—
720C2×D47—22no—
721C2×D47—22no—
722C2×D47—22no—
723C2×D47—22no—
724C2×D47—22no—
725C2×D47—22no—
726C2×D47—22no—
727C2×D47—22no—
728C2×D47—22no—
729C2×D47—22no—
730C2×D47—416no—
731C2×D47C2×C22⋊Q814yes—
732C2×D47#53314yescomplemented
733C4×C47—22no—
734C4×C47—22no—
735C4×C47—22no—
736C4×C47—22no—
737C4×C47—22no—
738C4×C47—41no—
739C4×C47—41no—
740C4×C47—41no—
741C4×C47—41no—
742C4×C47—41no—
743C4×C47—41no—
744C4×C47—41no—
745C4×C47—41no—
746C4×C47C2×C22⋊Q814yes—
747Dic47—22no—
748Dic47—22no—
749Dic47—22no—
750Dic47—22no—
751Dic47—22no—
752Dic47—41no—
753Dic47—41no—
754Dic47—41no—
755Dic47—41no—
756Dic47—41no—
757Dic47—41no—
758Dic47—41no—
759Dic47—41no—
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#2437—471no—
779#2396—471no—
780#2396—471no—
781#2396—471no—
782#2396D4711yescharacteristic, complemented
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—42no—
793C2×C47C22×C22⋊Q811yescharacteristic
794C2×C47C2×#53311yescharacteristic
795C2×C47#345811yescharacteristic
796C2×C47D4×#4111yescharacteristic
797C2×C47D4×#4111yescharacteristic
798C2×C47#347511yescharacteristic
799C2×C47#347511yescharacteristic
800D47—24no—
801D47—24no—
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⋊Q8—471no—
815C2×C22⋊Q8—471no—
816C2×C4×Q8—471no—
817C2×C4×Q8—471no—
818C2×C4×Q8—471no—
819C2×C4×Q8C2×D4711yescharacteristic, complemented
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—948no—
830C2×#117C2×D4711yescharacteristic
831C22×C4⋊C4—471no—
832C22×C4⋊C4—471no—
833C22×C22⋊C4—471no—
834C22×C22⋊C4—471no—
835C22×C22⋊C4—471no—
836C22×C22⋊C4—471no—
837C22×C42—471no—
838C22×C42—471no—
839C22×C42—471no—
840C22×C42—471no—
841#400—471no—
842#400—471no—
843#400—471no—
844#400C2×D4711yescharacteristic, complemented
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#398C2×D4711yescharacteristic, complemented
856#398C2×D4711yescharacteristic, complemented
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#395C2×D4711yescharacteristic, complemented
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#385—471no—
910#385—471no—
911#385—471no—
912#385—471no—
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#380—471no—
930#380—471no—
931#379—471no—
932#379—471no—
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⋊C4C2×D4711yescharacteristic, complemented
943C4×C4⋊C4C2×D4711yescharacteristic, complemented
944C4×C4⋊C4C2×D4711yescharacteristic, complemented
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⋊C4C2×D4711yescharacteristic
956C4×C22⋊C4C2×D4711yescharacteristic
957C2×#95—471no—
958C2×#95—471no—
959C47#3473911yescharacteristic, complemented, Sylow
960C25—471no—
961C22×Q8—471no—
962C22×Q8—471no—
963C22×Q8—471no—
964C22×Q8C22×D4711yescharacteristic
965C23×C4—471no—
966C23×C4—471no—
967C23×C4—478no—
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—471no—
977C23×C4—471no—
978C23×C4—471no—
979C23×C4—944no—
980C23×C4—944no—
981C23×C4C22×D4711yescharacteristic
982C4⋊Q8—944no—
983C4⋊Q8—944no—
984#125—944no—
985#125—944no—
986C22⋊Q8—944no—
987C22⋊Q8—944no—
988C22⋊Q8—944no—
989C22⋊Q8—944no—
990C22⋊Q8—944no—
991C22⋊Q8—944no—
992C22⋊Q8—944no—
993C22⋊Q8—944no—
994C4×Q8—24no—
995C4×Q8—944no—
996C4×Q8—944no—
997C4×Q8—944no—
998#117—24no—
999#117—478no—
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—944no—
1046C2×C4⋊C4—944no—
1047C2×C4⋊C4C22×D4711yescharacteristic
1048C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1059C2×C22⋊C4—471no—
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—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—944no—
1081C2×C22⋊C4—944no—
1082C2×C22⋊C4—944no—
1083C2×C22⋊C4—944no—
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—944no—
1105C2×C42—944no—
1106C2×C42—944no—
1107C2×C42—944no—
1108C2×C42C22×D4711yescharacteristic
1109C2×C42C22×D4711yescharacteristic
1110C2×C42C22×D4711yescharacteristic
1111C2×C42C22×D4711yescharacteristic
1112C2×C42C22×D4711yescharacteristic
1113C2×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1145#95C22×D4711yescharacteristic
1146#95C22×D4711yescharacteristic
1147#95C22×D4711yescharacteristic
1148#95C22×D4711yescharacteristic
1149#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154C24—471no—
1155C24—471no—
1156C24—474no—
1157C24—942no—
1158C24—942no—
1159C24—942no—
1160C24—942no—
1161C24—1881no—
1162C24—1881no—
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—471no—
1179C22×C4—474no—
1180C22×C4—474no—
1181C22×C4—474no—
1182C22×C4—474no—
1183C22×C4—471no—
1184C22×C4—471no—
1185C22×C4—471no—
1186C22×C4—471no—
1187C22×C4—471no—
1188C22×C4—474no—
1189C22×C4—474no—
1190C22×C4—474no—
1191C22×C4—471no—
1192C22×C4—471no—
1193C22×C4—471no—
1194C22×C4—471no—
1195C22×C4—471no—
1196C22×C4—471no—
1197C22×C4—471no—
1198C22×C4—471no—
1199C22×C4—942no—
1200C22×C4—942no—
1201C22×C4—9432no—
1202C22×C4—942no—
1203C22×C4—942no—
1204C22×C4—942no—
1205C22×C4—942no—
1206C22×C4—942no—
1207C22×C4—942no—
1208C22×C4—942no—
1209C22×C4—942no—
1210C22×C4—942no—
1211C22×C4—942no—
1212C22×C4—942no—
1213C22×C4—942no—
1214C22×C4—942no—
1215C22×C4—942no—
1216C22×C4—942no—
1217C22×C4—942no—
1218C22×C4—942no—
1219C22×C4—942no—
1220C22×C4—942no—
1221C22×C4—942no—
1222C22×C4—942no—
1223C22×C4—942no—
1224C22×C4—1881no—
1225C22×C4—1881no—
1226C22×C4—1881no—
1227C22×C4—1881no—
1228C22×C4—1881no—
1229C22×C4—1881no—
1230C22×C4—1881no—
1231C22×C4—1881no—
1232C22×C4Q8×D4714yes—
1233C22×C4C23×D4711yescharacteristic
1234C22×C4C23×D4711yescharacteristic
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—22no—
1254C4⋊C4—22no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—474no—
1259C4⋊C4—474no—
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—41no—
1300C22⋊C4—41no—
1301C22⋊C4—474no—
1302C22⋊C4—474no—
1303C22⋊C4—474no—
1304C22⋊C4—474no—
1305C22⋊C4—942no—
1306C22⋊C4—942no—
1307C22⋊C4—942no—
1308C22⋊C4—942no—
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—942no—
1320C22⋊C4—942no—
1321C22⋊C4—1881no—
1322C22⋊C4—1881no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—22no—
1328C42—474no—
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—
1342C42D4×D4714yes—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—472no—
1350C23—472no—
1351C23—472no—
1352C23—472no—
1353C23—472no—
1354C23—472no—
1355C23—948no—
1356C23—948no—
1357C23—941no—
1358C23—941no—
1359C23—941no—
1360C23—941no—
1361C23—941no—
1362C23—941no—
1363C23—941no—
1364C23—941no—
1365C23—1884no—
1366C23—1884no—
1367C23—1884no—
1368C23—1884no—
1369C23—1884no—
1370C23C2×Q8×D4712yes—
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—28no—
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—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—472no—
1412C2×C4—472no—
1413C2×C4—472no—
1414C2×C4—4716no—
1415C2×C4—472no—
1416C2×C4—472no—
1417C2×C4—472no—
1418C2×C4—472no—
1419C2×C4—472no—
1420C2×C4—948no—
1421C2×C4—948no—
1422C2×C4—948no—
1423C2×C4—941no—
1424C2×C4—941no—
1425C2×C4—941no—
1426C2×C4—941no—
1427C2×C4—941no—
1428C2×C4—941no—
1429C2×C4—941no—
1430C2×C4—941no—
1431C2×C4—941no—
1432C2×C4—941no—
1433C2×C4—948no—
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—1884no—
1459C2×C4—1884no—
1460C2×C4—1884no—
1461C2×C4—1884no—
1462C2×C4—1884no—
1463C2×C4—1884no—
1464C2×C4—1884no—
1465C2×C4—1884no—
1466C2×C4C2×D4×D4712yes—
1467C2×C4C2×D4×D4712yes—
1468C2×C4C2×D4×D4712yes—
1469C2×C4C2×Q8×D4712yes—
1470C2×C4C2×Q8×D4712yes—
1471C2×C4#41×D4712yes—
1472C2×C4#41×D4712yes—
1473C2×C4#41×D4712yes—
1474C22—22no—
1475C22—22no—
1476C22—22no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—474no—
1482C22—474no—
1483C22—942no—
1484C22—942no—
1485C22—942no—
1486C22—942no—
1487C22—942no—
1488C22—942no—
1489C22—942no—
1490C22—942no—
1491C22—942no—
1492C22—942no—
1493C22—942no—
1494C22—942no—
1495C22—18816no—
1496C22C22×D4×D4711yescharacteristic
1497C22C22×Q8×D4711yescharacteristic
1498C22C2×#41×D4711yescharacteristic
1499C22C2×#41×D4711yescharacteristic
1500C22C2×#41×D4711yescharacteristic
1501C22#1568995911yescharacteristic
1502C22#1568995911yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—22no—
1507C4—22no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—474no—
1517C4—942no—
1518C4—942no—
1519C4—942no—
1520C4—942no—
1521C4—942no—
1522C4—1881no—
1523C4—1881no—
1524C4—1881no—
1525C4—1881no—
1526C4—1881no—
1527C4—1881no—
1528C4—1881no—
1529C4—1881no—
1530C4C22⋊Q8×D4714yes—
1531C2—42no—
1532C2—944no—
1533C2—944no—
1534C2C2×C22⋊Q8×D4711yescharacteristic
1535C2#533×D4711yescharacteristic
1536C2#2025679111yescharacteristic
1537C2#2025687111yescharacteristic
1538C2#2025687411yescharacteristic
1539C2#2025694011yescharacteristic
1540C2#2025694411yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC47×#2396C2
prime radicalC24×D47C23
hypercenter#2396D47
hypocenterC47#34739
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #2396

Complements

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

NH ≅ G/Ntype
1. C2×#15689677C2semidirect
3. #20247107C2semidirect
4. #20247105C2semidirect
5. #20247096C2semidirect
6. #20247094C2semidirect
7. #20247085C2semidirect
8. #20247083C2semidirect
9. #20247074C2semidirect
10. #20247072C2semidirect
11. #20247067C2semidirect
12. #20247065C2semidirect
13. #20247059C2semidirect
14. #20247057C2semidirect
19. #20246662C2semidirect
20. #20246662C2semidirect
21. #20246656C2semidirect
22. C4×#13094004C2semidirect
23. C4×#13094002C2semidirect
24. C4×#13094002C2semidirect
25. C4×#13094000C2semidirect
26. #20245868C2semidirect
27. #20245868C2semidirect
28. #20245792C2semidirect
31. C47×#2396C2semidirect
34. C2×#13094023C22semidirect
35. C2×#13094022C22semidirect
36. C2×#13094014C22semidirect
37. C2×#13094014C22semidirect
46. C2×C4×Dic94C22semidirect
47. C2×C4×Dic94C22semidirect
48. C2×C4×Dic94C22semidirect
69. #15689065C22semidirect
70. #15689065C22semidirect
71. #15689062C22semidirect
75. #15689057C22semidirect
76. #15689057C22semidirect
77. #15689056C22semidirect
78. #15689056C22semidirect
79. #15689055C22semidirect
80. #15689055C22semidirect
87. #15689044C22semidirect
88. #15689044C22semidirect
89. #15689043C22semidirect
93. #15689030C22semidirect
94. #15689028C22semidirect
95. #15689027C22semidirect
96. #15689027C22semidirect
97. #15689022C22semidirect
98. #15689020C22semidirect
99. #15689020C22semidirect
100. #15689020C22semidirect
101. #15689020C22semidirect
102. #15689019C22semidirect
103. #15689018C22semidirect
104. #15689018C22semidirect
105. #15689018C22semidirect
106. #15689018C22semidirect
107. #15689018C22semidirect
108. #15689018C22semidirect
109. #15689009C22semidirect
110. #15689009C22semidirect
111. #15689008C22semidirect
112. #15689008C22semidirect
113. #15689005C22semidirect
114. #15689005C22semidirect
115. #15689004C22semidirect
116. #15689004C22semidirect
133. #15688992C22semidirect
134. #15688992C22semidirect
135. #15688987C22semidirect
136. #15688987C22semidirect
153. C4×Dic47⋊C4C22semidirect
154. C4×Dic47⋊C4C22semidirect
155. C4×Dic47⋊C4C22semidirect
156. C4×Dic47⋊C4C22semidirect
157. C4×Dic47⋊C4C22semidirect
158. C4×Dic47⋊C4C22semidirect
159. C4×C4⋊Dic47C22semidirect
160. C4×C4⋊Dic47C22semidirect
161. C4×C4⋊Dic47C22semidirect
174. C2×C4×Q8×C47C22semidirect
176. C47×#400C22semidirect
178. C47×#398C22semidirect
179. C47×#398C22semidirect
182. C47×#395C22semidirect
184. C4×C4⋊C4×C47C22semidirect
185. C4×C4⋊C4×C47C22semidirect
186. C4×C4⋊C4×C47C22semidirect
196. C22×C4×D47Q8semidirect
699. C4×D47C22⋊Q8semidirect
732. C2×D47#533semidirect
782. #2396D47semidirect
819. C2×C4×Q8C2×D47semidirect
844. #400C2×D47semidirect
855. #398C2×D47semidirect
856. #398C2×D47semidirect
868. #395C2×D47semidirect
942. C4×C4⋊C4C2×D47semidirect
943. C4×C4⋊C4C2×D47semidirect
944. C4×C4⋊C4C2×D47semidirect
959. C47#34739semidirect

Maximal subgroups

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

subgroupindex
C2×#156896772
C2×#117×D472
#202471072
#202471052
#202470962
#202470942
#202470852
#202470832
#202470742
#202470722
#202470672
#202470652
#202470592
#202470572
#202470552
#202470502
#202470482
#202466622
#202466562
C4×#130940042
C4×#130940022
C4×#130940002
#202458682
#202457922
#202457692
C4×C22⋊C4×D472
C47×#23962
#3473947