Finite Group Databasebeta

← #25269587

Subgroups — #25269587

Order 11008.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583495C211yesmaximal, characteristic, complemented
2C2×#14583485C211yesmaximal, characteristic, complemented
3#19142964C211yesmaximal, characteristic, complemented
4#19142963C211yesmaximal, characteristic, complemented
5#19142924C211yesmaximal, characteristic, complemented
6#19142898C211yesmaximal, characteristic, complemented
7#19140758C211yesmaximal, characteristic, complemented
8#19140738C211yesmaximal, characteristic, complemented
9#19140721C211yesmaximal, characteristic, complemented
10#19139742C211yesmaximal, characteristic, complemented
11#19139719C211yesmaximal, characteristic, complemented
12#19139712C211yesmaximal, characteristic, complemented
13#19139689C211yesmaximal, characteristic, complemented
14#19139600C211yesmaximal, characteristic, complemented
15#19139552C211yesmaximal, characteristic, complemented
16#19139522C211yesmaximal, characteristic, complemented
17#19139480C211yesmaximal, characteristic, complemented
18#19139291C211yesmaximal, characteristic, complemented
19#19139263C211yesmaximal, characteristic, complemented
20#19138922C211yesmaximal, characteristic, complemented
21#19138724C211yesmaximal, characteristic, complemented
22#19138602C211yesmaximal, characteristic, complemented
23#19138565C211yesmaximal, characteristic, complemented
24#19138149C211yesmaximal, characteristic, complemented
25#19138132C211yesmaximal, characteristic, complemented
26#19137259C211yesmaximal, characteristic, complemented
27#19137248C211yesmaximal, characteristic, complemented
28#19137103C211yesmaximal, characteristic, complemented
29#388×D43C211yesmaximal, characteristic, complemented
30C4×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
31C43×#2663C211yesmaximal, characteristic, complemented
32#14583495—28no—
33#14583485—28no—
34C2×#13063320C2211yescharacteristic
35C2×#13063320C2211yescharacteristic, complemented
36C2×#13063318C2211yescharacteristic
37C2×#13063318C2211yescharacteristic, complemented
38C2×#13063315C2211yescharacteristic, complemented
39C2×#13063315C2211yescharacteristic, complemented
40C2×#13063314C2211yescharacteristic
41C2×#13063311C2211yescharacteristic
42C2×#13063311C2211yescharacteristic
43C2×#13063310C2211yescharacteristic
44C2×#13063310C2211yescharacteristic
45C2×#13063310C2211yescharacteristic
46C2×#13063308C2211yescharacteristic, complemented
47C2×#13063307C2211yescharacteristic
48C2×#13063307C2211yescharacteristic, complemented
49C2×#13063305C2211yescharacteristic
50C2×#13063301C2211yescharacteristic
51C2×#13063301C2211yescharacteristic, complemented
52C2×#13063300C2211yescharacteristic
53C2×#13063299C2211yescharacteristic
54C2×#13063298C2211yescharacteristic
55C2×#13063298C2211yescharacteristic
56C2×#13063297C2211yescharacteristic
57C2×#13063296C2211yescharacteristic
58C2×#13063295C2211yescharacteristic
59C2×#13063295C2211yescharacteristic
60C2×#13063293C2211yescharacteristic
61C2×#13063287C2211yescharacteristic
62C2×#13063287C2211yescharacteristic
63C2×#13063287C2211yescharacteristic, complemented
64C2×C4×C22⋊D43C2211yescharacteristic
65C2×(C22⋊D43)⋊C4C2211yescharacteristic
66C2×(C22⋊D43)⋊C4C2211yescharacteristic
67C2×C4⋊C4×D43C2211yescharacteristic
68C2×C22⋊C4×D43C2211yescharacteristic
69C2×C22⋊C4×D43C2211yescharacteristic
70C2×C22⋊C4×D43C2211yescharacteristic
71C22×C4×Dic43C2211yescharacteristic, complemented
72C2×C42×D43C2211yescharacteristic
73#14582841C2211yescharacteristic, complemented
74#14582834C2211yescharacteristic
75#14582833C2211yescharacteristic, complemented
76#14582832C2211yescharacteristic, complemented
77#14582831C2211yescharacteristic, complemented
78#14582830C2211yescharacteristic, complemented
79#14582828C2211yescharacteristic
80#14582826C2211yescharacteristic, complemented
81#14582823C2211yescharacteristic
82#14582823C2211yescharacteristic, complemented
83#14582822C2211yescharacteristic
84#14582821C2211yescharacteristic
85#14582820C2211yescharacteristic, complemented
86#14582817C2211yescharacteristic
87#14582817C2211yescharacteristic, complemented
88#14582815C2211yescharacteristic
89#14582815C2211yescharacteristic
90#14582815C2211yescharacteristic, complemented
91#14582814C2211yescharacteristic
92#14582812C2211yescharacteristic, complemented
93#14582809C2211yescharacteristic
94#14582808C2211yescharacteristic
95#14582808C2211yescharacteristic
96#14582808C2211yescharacteristic, complemented
97#14582806C2211yescharacteristic, complemented
98#14582803C2211yescharacteristic, complemented
99#14582803C2211yescharacteristic, complemented
100#14582801C2211yescharacteristic
101#14582801C2211yescharacteristic, complemented
102#14582800C2211yescharacteristic
103#14582800C2211yescharacteristic
104#14582800C2211yescharacteristic
105#14582799C2211yescharacteristic
106#14582799C2211yescharacteristic
107#14582799C2211yescharacteristic
108#14582799C2211yescharacteristic
109#14582798C2211yescharacteristic, complemented
110#14582795C2211yescharacteristic, complemented
111#14582794C2211yescharacteristic, complemented
112#14582794C2211yescharacteristic, complemented
113#14582793C2211yescharacteristic
114#14582793C2211yescharacteristic
115#14582792C2211yescharacteristic
116#14582792C2211yescharacteristic
117#14582792C2211yescharacteristic
118#14582791C2211yescharacteristic
119#14582791C2211yescharacteristic
120#14582791C2211yescharacteristic, complemented
121#14582791C2211yescharacteristic, complemented
122#14582790C2211yescharacteristic
123#14582790C2211yescharacteristic, complemented
124#14582789C2211yescharacteristic
125#14582789C2211yescharacteristic
126#14582789C2211yescharacteristic, complemented
127#14582789C2211yescharacteristic, complemented
128#14582789C2211yescharacteristic, complemented
129#14582789C2211yescharacteristic, complemented
130#14582788C2211yescharacteristic
131#14582788C2211yescharacteristic
132#14582788C2211yescharacteristic
133#14582788C2211yescharacteristic, complemented
134#14582788C2211yescharacteristic, complemented
135#14582787C2211yescharacteristic
136#14582787C2211yescharacteristic
137#14582785C2211yescharacteristic, complemented
138#14582781C2211yescharacteristic, complemented
139#14582779C2211yescharacteristic
140#14582777C2211yescharacteristic
141#14582777C2211yescharacteristic
142#14582777C2211yescharacteristic
143#14582777C2211yescharacteristic
144#14582777C2211yescharacteristic
145#14582776C2211yescharacteristic
146#14582776C2211yescharacteristic
147#14582776C2211yescharacteristic, complemented
148#14582776C2211yescharacteristic, complemented
149#14582776C2211yescharacteristic, complemented
150#14582775C2211yescharacteristic
151#14582773C2211yescharacteristic
152#14582773C2211yescharacteristic, complemented
153#14582770C2211yescharacteristic
154#14582770C2211yescharacteristic, complemented
155#14582764C2211yescharacteristic, complemented
156#14582761C2211yescharacteristic
157#14582757C2211yescharacteristic, complemented
158#14582756C2211yescharacteristic
159#14582754C2211yescharacteristic
160C4⋊C4×Dic43C2211yescharacteristic, complemented
161C4×Dic43⋊C4C2211yescharacteristic, complemented
162#14582750C2211yescharacteristic, complemented
163#14582750C2211yescharacteristic, complemented
164C22⋊C4×Dic43C2211yescharacteristic, complemented
165C22⋊C4×Dic43C2211yescharacteristic, complemented
166C4×(C2×D43)⋊C4C2211yescharacteristic
167#14582746C2211yescharacteristic
168#14582746C2211yescharacteristic
169#14582746C2211yescharacteristic, complemented
170#14582746C2211yescharacteristic, complemented
171#95×D43C2211yescharacteristic
172#95×D43C2211yescharacteristic
173C42×Dic43C2211yescharacteristic, complemented
174C2×#123×C43C2211yescharacteristic
175C2×C22⋊Q8×C43C2211yescharacteristic, complemented
176C43×#400C2211yescharacteristic, complemented
177C43×#399C2211yescharacteristic
178C43×#397C2211yescharacteristic, complemented
179C43×#397C2211yescharacteristic, complemented
180C43×#395C2211yescharacteristic, complemented
181C43×#394C2211yescharacteristic
182C43×#394C2211yescharacteristic
183C43×#393C2211yescharacteristic
184C43×#389C2211yescharacteristic, complemented
185C43×#389C2211yescharacteristic, complemented
186C43×#388C2211yescharacteristic
187C43×#388C2211yescharacteristic
188C4×C22⋊C4×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C22×Dic86C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C23×Dic43C2311yescharacteristic
203C23×Dic43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212#13063320—24no—
213#13063320—24no—
214#13063318—24no—
215#13063318—24no—
216#13063315—24no—
217#13063315—24no—
218#13063314—42no—
219#13063311—24no—
220#13063311—24no—
221#13063310—24no—
222#13063310—24no—
223#13063310—24no—
224#13063308—24no—
225#13063307—24no—
226#13063307—24no—
227#13063305—24no—
228#13063301—24no—
229#13063301—24no—
230#13063300—24no—
231#13063299—24no—
232#13063298—24no—
233#13063298—24no—
234#13063297—42no—
235#13063296—24no—
236#13063295—24no—
237#13063295—24no—
238#13063293—24no—
239#13063287—24no—
240#13063287—24no—
241#13063287—42no—
242C4×C22⋊D43D418yescomplemented
243(C22⋊D43)⋊C4—24no—
244(C22⋊D43)⋊C4—24no—
245C2×C4⋊Dic43C2311yescharacteristic
246C2×C4⋊Dic43C2311yescharacteristic
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
252C2×Dic43⋊C4C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C4⋊C4×D43—24no—
267C2×C22⋊Dic43C2311yescharacteristic
268C2×C22⋊Dic43C2311yescharacteristic
269C2×C22⋊Dic43C2311yescharacteristic
270C2×C22⋊Dic43C2311yescharacteristic
271C2×C22⋊Dic43C2311yescharacteristic
272C2×C22⋊Dic43C2311yescharacteristic
273C2×C22⋊Dic43C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C22⋊C4×D43—24no—
309C22⋊C4×D43—24no—
310C22⋊C4×D43—42no—
311C2×C4×Dic43—42no—
312C2×C4×Dic43C2311yescharacteristic
313C2×C4×Dic43C2311yescharacteristic
314C2×C4×Dic43C2311yescharacteristic
315C2×C4×Dic43C2311yescharacteristic
316C2×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C2×C4×Dic43C2311yescharacteristic
321C2×C4×Dic43C2311yescharacteristic
322C2×C4×Dic43C2311yescharacteristic
323C2×C4×Dic43C2311yescharacteristic
324C2×C4×Dic43C2311yescharacteristic
325C42×D43—42no—
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C22×Q8×C43C2311yescharacteristic
349C22×D4×C43C2311yescharacteristic
350C23×C4×C43C2311yescharacteristic
351#123×C43—24no—
352C22⋊Q8×C43—24no—
353C2×C4⋊C4×C43C2311yescharacteristic
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363C2×C22⋊C4×C43C2311yescharacteristic
364C2×C22⋊C4×C43C2311yescharacteristic
365C2×C22⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C42×C43C2311yescharacteristic
374C2×C42×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C24×C43C2411yescharacteristic
387C23×D43—22no—
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—41no—
391C23×D43—41no—
392C23×D43—41no—
393C23×D43—41no—
394C23×D43C2411yescharacteristic
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C23×D43C2411yescharacteristic
398C2×Q8×C43—22no—
399C2×Q8×C43—41no—
400C2×Q8×C43—41no—
401C2×D4×C43—22no—
402C2×D4×C43—41no—
403C2×D4×C43—41no—
404C22×C4×C43—41no—
405C22×C4×C43—41no—
406C22×C4×C43C2×D414yes—
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C2×C22⋊D43—22no—
421C2×C22⋊D43—22no—
422C2×C22⋊D43—22no—
423C2×C22⋊D43—22no—
424C2×C22⋊D43—22no—
425C2×C22⋊D43—22no—
426C2×C22⋊D43—22no—
427C2×C22⋊D43—41no—
428C2×C22⋊D43—41no—
429C2×C22⋊D43—41no—
430C2×C22⋊D43—41no—
431C2×C22⋊D43—41no—
432C2×C22⋊D43—41no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43C2×D414yes—
438C22×Dic43—22no—
439C22×Dic43—22no—
440C22×Dic43—22no—
441C22×Dic43—41no—
442C22×Dic43—41no—
443C22×Dic43—41no—
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C2×D172—22no—
457C2×D172—22no—
458C2×D172—22no—
459C2×D172—22no—
460C2×D172—22no—
461C2×D172—22no—
462C2×D172—22no—
463C2×D172—22no—
464C2×D172—22no—
465C2×D172—41no—
466C2×D172—41no—
467C2×D172—41no—
468C2×D172—41no—
469C2×D172—41no—
470C2×D172—41no—
471C2×C4×D43—22no—
472C2×C4×D43—22no—
473C2×C4×D43—22no—
474C2×C4×D43—22no—
475C2×C4×D43—22no—
476C2×C4×D43—22no—
477C2×C4×D43—22no—
478C2×C4×D43—22no—
479C2×C4×D43—22no—
480C2×C4×D43—41no—
481C2×C4×D43—41no—
482C2×C4×D43—41no—
483C2×C4×D43—41no—
484C2×C4×D43—41no—
485C2×C4×D43—41no—
486C2×C4×D43—41no—
487C2×C4×D43—41no—
488C2×C4×D43—41no—
489C2×C4×D43—41no—
490C2×C4×D43—41no—
491C2×C4×D43—41no—
492C2×C4×D43—41no—
493C2×C4×D43C2×D414yes—
494C2×C4×D43#4114yes—
495C2×Dic86—22no—
496C2×Dic86—41no—
497C2×Dic86—41no—
498C4⋊C4×C43—22no—
499C4⋊C4×C43—22no—
500C4⋊C4×C43—22no—
501C4⋊C4×C43—22no—
502C4⋊C4×C43—22no—
503C4⋊C4×C43—22no—
504C4⋊C4×C43—22no—
505C4⋊C4×C43—41no—
506C4⋊C4×C43—41no—
507C22⋊C4×C43—22no—
508C22⋊C4×C43—22no—
509C22⋊C4×C43—22no—
510C22⋊C4×C43—22no—
511C22⋊C4×C43—22no—
512C22⋊C4×C43—22no—
513C22⋊C4×C43—22no—
514C22⋊C4×C43—22no—
515C22⋊C4×C43—22no—
516C22⋊C4×C43—41no—
517C22⋊C4×C43—41no—
518C42×C43—41no—
519C42×C43—41no—
520C22⋊Dic43—22no—
521C22⋊Dic43—22no—
522C22⋊Dic43—22no—
523C22⋊Dic43—22no—
524C22⋊Dic43—22no—
525C22⋊Dic43—41no—
526C22⋊Dic43C2×D414yes—
527(C2×D43)⋊C4—22no—
528(C2×D43)⋊C4—22no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—22no—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—22no—
534(C2×D43)⋊C4—22no—
535(C2×D43)⋊C4—22no—
536(C2×D43)⋊C4—22no—
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4—22no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—22no—
544(C2×D43)⋊C4—22no—
545(C2×D43)⋊C4—22no—
546(C2×D43)⋊C4—22no—
547(C2×D43)⋊C4—22no—
548(C2×D43)⋊C4—22no—
549(C2×D43)⋊C4—22no—
550(C2×D43)⋊C4—41no—
551(C2×D43)⋊C4—41no—
552(C2×D43)⋊C4—41no—
553(C2×D43)⋊C4—41no—
554(C2×D43)⋊C4—41no—
555(C2×D43)⋊C4—41no—
556(C2×D43)⋊C4—41no—
557(C2×D43)⋊C4—41no—
558(C2×D43)⋊C4—41no—
559(C2×D43)⋊C4C2×D414yes—
560(C2×D43)⋊C4#4114yes—
561C4⋊Dic43—22no—
562C4⋊Dic43—22no—
563C4⋊Dic43—22no—
564C4⋊Dic43—22no—
565C4⋊Dic43—22no—
566C4⋊Dic43—41no—
567C4⋊Dic43—41no—
568Dic43⋊C4—22no—
569Dic43⋊C4—22no—
570Dic43⋊C4—22no—
571Dic43⋊C4—22no—
572Dic43⋊C4—22no—
573Dic43⋊C4—22no—
574Dic43⋊C4—22no—
575Dic43⋊C4—22no—
576Dic43⋊C4—22no—
577Dic43⋊C4—22no—
578Dic43⋊C4—22no—
579Dic43⋊C4—41no—
580Dic43⋊C4—41no—
581Dic43⋊C4C2×D414yes—
582C4×Dic43—22no—
583C4×Dic43—22no—
584C4×Dic43—22no—
585C4×Dic43—22no—
586C4×Dic43—22no—
587C4×Dic43—22no—
588C4×Dic43—22no—
589C4×Dic43—41no—
590C4×Dic43—41no—
591C4×Dic43—41no—
592C4×Dic43—41no—
593C4×Dic43—41no—
594C4×Dic43C2×D414yes—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43C22×D412yes—
609C23×C43C2511yescharacteristic
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43—21no—
629C22×D43—21no—
630C22×D43—21no—
631C22×D43—21no—
632C22×D43—21no—
633C22×D43—21no—
634C22×D43—21no—
635C22×D43—44no—
636C22×D43—44no—
637C22×D43—44no—
638C22×D43—82no—
639C22×D43—82no—
640C22×D43—82no—
641C22×D43—82no—
642C22×D43C22×D412yes—
643C22×D43C2×#4112yes—
644C22×D43C2×#4112yes—
645Q8×C43—82no—
646D4×C43—82no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—44no—
683C2×C4×C43C22×D412yes—
684C2×C4×C43C22×D412yes—
685C2×C4×C43C2×#4112yes—
686C2×C4×C43C2×#4112yes—
687C22⋊D43—28no—
688C22⋊D43—82no—
689C22⋊D43—82no—
690C22⋊D43—82no—
691C22⋊D43—82no—
692C22⋊D43—82no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—44no—
724C2×Dic43—44no—
725C2×Dic43C22×D412yes—
726C2×Dic43C22×D412yes—
727C2×Dic43C22×D412yes—
728C2×Dic43C2×#4112yes—
729C2×Dic43C2×#4112yes—
730C2×Dic43H(5,𝔽2)12yes—
731D172—44no—
732D172—44no—
733D172—44no—
734D172—82no—
735D172—82no—
736C4×D43—44no—
737C4×D43—44no—
738C4×D43—44no—
739C4×D43—44no—
740C4×D43—82no—
741C4×D43—82no—
742C4×D43—82no—
743C4×D43—82no—
744Dic86—82no—
745#35009—431nomaximal, Sylow
746C22×C43—22no—
747C22×C43—22no—
748C22×C43—22no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43C23×D411yescharacteristic
761C22×C43C22×#4111yescharacteristic
762C22×C43C22×#4111yescharacteristic
763C22×C43C2×H(5,𝔽2)11yescharacteristic
764C22×C43#58511yescharacteristic
765C22×C43#58511yescharacteristic
766C22×C43#58511yescharacteristic
767C2×D43—22no—
768C2×D43—22no—
769C2×D43—22no—
770C2×D43—22no—
771C2×D43—22no—
772C2×D43—22no—
773C2×D43—41no—
774C2×D43—41no—
775C2×D43—41no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—41no—
781C2×D43—41no—
782C2×D43—41no—
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—88no—
795C2×D43#53214yes—
796C4×C43—22no—
797C4×C43—22no—
798C4×C43—22no—
799C4×C43—22no—
800C4×C43—41no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809Dic43—22no—
810Dic43—22no—
811Dic43—22no—
812Dic43—22no—
813Dic43—22no—
814Dic43—22no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821C2×#539—431no—
822C2×#538—431no—
823#2861—431no—
824#2860—431no—
825#2854—431no—
826#2850—431no—
827#2664—431no—
828#2663D4311yescharacteristic, complemented
829#2662—431no—
830#2661—431no—
831#2560—431no—
832#2559—431no—
833#2558—431no—
834#2557—431no—
835#2549—431no—
836#2543—431no—
837#2539—431no—
838#2534—431no—
839#2521—431no—
840#2519—431no—
841#2488—431no—
842#2472—431no—
843#2464—431no—
844#2461—431no—
845#2425—431no—
846#2424—431no—
847#2322—431no—
848#2321—431no—
849C4×#121—431no—
850C2×#388—431no—
851C42×D4—431no—
852C2×C43—42no—
853C2×C43—81no—
854C2×C43C2×#53211yescharacteristic
855C2×C43#345511yescharacteristic
856C2×C43#345911yescharacteristic
857C2×C43#349611yescharacteristic
858C2×C43#350011yescharacteristic
859C2×C43#351311yescharacteristic
860C2×C43#352111yescharacteristic
861D43—24no—
862D43—81no—
863D43—81no—
864D43—81no—
865#539—868no—
866#538—868no—
867C2×#126—431no—
868C2×#126—431no—
869C2×#126—431no—
870C2×#126—431no—
871C2×#125—431no—
872C2×#125—431no—
873C2×#124—431no—
874C2×#124—431no—
875C2×#124—431no—
876C2×#123—431no—
877C2×#123—431no—
878C2×#123—431no—
879C2×#123—431no—
880C2×#123—431no—
881C2×#123—431no—
882C2×#123C2×D4311yescharacteristic
883C2×C22⋊Q8—431no—
884C2×C22⋊Q8—431no—
885C2×C22⋊Q8—431no—
886C2×C22⋊Q8C2×D4311yescharacteristic, complemented
887C2×#121—431no—
888C2×#121—431no—
889C2×#121—431no—
890C2×#121—431no—
891C2×#121—431no—
892C2×#121—431no—
893C2×#120—431no—
894C2×#120—431no—
895C2×#120—431no—
896C2×C4×D4—431no—
897C2×C4×D4—431no—
898C2×C4×D4—431no—
899C2×C4×D4—431no—
900C2×C4×D4—431no—
901C2×C4×D4—431no—
902C22×C4⋊C4—431no—
903C22×C22⋊C4—431no—
904C22×C22⋊C4—431no—
905C22×C22⋊C4—431no—
906C22×C42—431no—
907C22×C42—431no—
908#400—431no—
909#400C2×D4311yescharacteristic, complemented
910#399—431no—
911#399C2×D4311yescharacteristic
912#398—431no—
913#398—431no—
914#398—431no—
915#398—431no—
916#397—431no—
917#397—431no—
918#397C2×D4311yescharacteristic, complemented
919#397C2×D4311yescharacteristic, complemented
920#396—431no—
921#396—431no—
922#396—431no—
923#396—431no—
924#395—431no—
925#395C2×D4311yescharacteristic, complemented
926#394—431no—
927#394—431no—
928#394—431no—
929#394—431no—
930#394—431no—
931#394—431no—
932#394C2×D4311yescharacteristic
933#394C2×D4311yescharacteristic
934#393—431no—
935#393C2×D4311yescharacteristic
936#392—431no—
937#392—431no—
938#392—431no—
939#392—431no—
940#391—431no—
941#391—431no—
942#391—431no—
943#390—431no—
944#390—431no—
945#390—431no—
946#390—431no—
947#390—431no—
948#390—431no—
949#390—431no—
950#390—431no—
951#390—431no—
952#389—431no—
953#389—431no—
954#389—431no—
955#389—431no—
956#389C2×D4311yescharacteristic, complemented
957#389C2×D4311yescharacteristic, complemented
958#388—431no—
959#388—431no—
960#388—431no—
961#388—431no—
962#388—431no—
963#388—431no—
964#388—431no—
965#388—431no—
966#388—431no—
967#388—431no—
968#388—431no—
969#388—431no—
970#388—431no—
971#388—431no—
972#388—431no—
973#388—431no—
974#388—431no—
975#388—431no—
976#388—431no—
977#388—431no—
978#388—431no—
979#388—431no—
980#388—431no—
981#388—431no—
982#388C2×D4311yescharacteristic
983#388C2×D4311yescharacteristic
984#387—431no—
985#387—431no—
986#386—431no—
987#386—431no—
988#386—431no—
989#386—431no—
990#386—431no—
991#386—431no—
992#386—431no—
993#386—431no—
994#386—431no—
995#386—431no—
996#386—431no—
997#386—431no—
998#385—431no—
999#385—431no—
1000#385—431no—
1001#385—431no—
1002#382—431no—
1003#381—431no—
1004#380—431no—
1005#380—431no—
1006#379—431no—
1007C4×C4⋊C4—431no—
1008C4×C4⋊C4—431no—
1009C4×C4⋊C4—431no—
1010C4×C4⋊C4—431no—
1011C4×C22⋊C4—431no—
1012C4×C22⋊C4—431no—
1013C4×C22⋊C4—431no—
1014C4×C22⋊C4—431no—
1015C4×C22⋊C4—431no—
1016C4×C22⋊C4—431no—
1017C4×C22⋊C4—431no—
1018C4×C22⋊C4C2×D4311yescharacteristic, complemented
1019C2×#95—431no—
1020C2×#95—431no—
1021C43—431no—
1022C43#3500911yescharacteristic, complemented, Sylow
1023C25—431no—
1024C22×Q8—431no—
1025C22×Q8C22×D4311yescharacteristic
1026C22×D4—431no—
1027C22×D4—431no—
1028C22×D4—431no—
1029C22×D4—431no—
1030C22×D4—431no—
1031C22×D4—431no—
1032C22×D4—431no—
1033C22×D4—431no—
1034C22×D4—431no—
1035C22×D4—431no—
1036C22×D4—431no—
1037C22×D4C22×D4311yescharacteristic
1038C23×C4—431no—
1039C23×C4—431no—
1040C23×C4—431no—
1041C23×C4—431no—
1042C23×C4—431no—
1043C23×C4—431no—
1044C23×C4—431no—
1045C23×C4—431no—
1046C23×C4—431no—
1047C23×C4—431no—
1048C23×C4C22×D4311yescharacteristic
1049#126—864no—
1050#126—864no—
1051#126—864no—
1052#126—864no—
1053#125—864no—
1054#125—864no—
1055#124—864no—
1056#124—864no—
1057#124—1722no—
1058#123—24no—
1059#123—864no—
1060#123—864no—
1061#123—864no—
1062#123—864no—
1063#123—864no—
1064#123—864no—
1065C22⋊Q8—24no—
1066C22⋊Q8—864no—
1067C22⋊Q8—864no—
1068C22⋊Q8—864no—
1069#121—864no—
1070#121—864no—
1071#121—864no—
1072#121—864no—
1073#121—864no—
1074#121—1722no—
1075#120—864no—
1076#120—864no—
1077#120—864no—
1078C4×D4—438no—
1079C4×D4—864no—
1080C4×D4—864no—
1081C4×D4—864no—
1082C4×D4—864no—
1083C4×D4—1722no—
1084C2×C4⋊C4—431no—
1085C2×C4⋊C4—431no—
1086C2×C4⋊C4—431no—
1087C2×C4⋊C4—431no—
1088C2×C4⋊C4—431no—
1089C2×C4⋊C4—431no—
1090C2×C4⋊C4—431no—
1091C2×C4⋊C4—431no—
1092C2×C4⋊C4—431no—
1093C2×C4⋊C4—431no—
1094C2×C4⋊C4—431no—
1095C2×C4⋊C4—431no—
1096C2×C4⋊C4—431no—
1097C2×C4⋊C4—431no—
1098C2×C4⋊C4—431no—
1099C2×C4⋊C4—431no—
1100C2×C4⋊C4—431no—
1101C2×C4⋊C4—431no—
1102C2×C4⋊C4—431no—
1103C2×C4⋊C4—431no—
1104C2×C4⋊C4—431no—
1105C2×C4⋊C4—864no—
1106C2×C4⋊C4C22×D4311yescharacteristic
1107C2×C4⋊C4C22×D4311yescharacteristic
1108C2×C4⋊C4C22×D4311yescharacteristic
1109C2×C4⋊C4C22×D4311yescharacteristic
1110C2×C4⋊C4C22×D4311yescharacteristic
1111C2×C4⋊C4C22×D4311yescharacteristic
1112C2×C4⋊C4C22×D4311yescharacteristic
1113C2×C4⋊C4C22×D4311yescharacteristic
1114C2×C4⋊C4C22×D4311yescharacteristic
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—431no—
1132C2×C22⋊C4—431no—
1133C2×C22⋊C4—431no—
1134C2×C22⋊C4—431no—
1135C2×C22⋊C4—431no—
1136C2×C22⋊C4—431no—
1137C2×C22⋊C4—431no—
1138C2×C22⋊C4—431no—
1139C2×C22⋊C4—431no—
1140C2×C22⋊C4—431no—
1141C2×C22⋊C4—431no—
1142C2×C22⋊C4—431no—
1143C2×C22⋊C4—431no—
1144C2×C22⋊C4—431no—
1145C2×C22⋊C4—431no—
1146C2×C22⋊C4—431no—
1147C2×C22⋊C4—431no—
1148C2×C22⋊C4—431no—
1149C2×C22⋊C4—431no—
1150C2×C22⋊C4—431no—
1151C2×C22⋊C4—431no—
1152C2×C22⋊C4—431no—
1153C2×C22⋊C4—431no—
1154C2×C22⋊C4—431no—
1155C2×C22⋊C4—431no—
1156C2×C22⋊C4—864no—
1157C2×C22⋊C4—864no—
1158C2×C22⋊C4—1722no—
1159C2×C22⋊C4C22×D4311yescharacteristic
1160C2×C22⋊C4C22×D4311yescharacteristic
1161C2×C22⋊C4C22×D4311yescharacteristic
1162C2×C22⋊C4C22×D4311yescharacteristic
1163C2×C22⋊C4C22×D4311yescharacteristic
1164C2×C22⋊C4C22×D4311yescharacteristic
1165C2×C22⋊C4C22×D4311yescharacteristic
1166C2×C22⋊C4C22×D4311yescharacteristic
1167C2×C22⋊C4C22×D4311yescharacteristic
1168C2×C22⋊C4C22×D4311yescharacteristic
1169C2×C22⋊C4C22×D4311yescharacteristic
1170C2×C42—431no—
1171C2×C42—431no—
1172C2×C42—431no—
1173C2×C42—431no—
1174C2×C42—431no—
1175C2×C42—431no—
1176C2×C42—431no—
1177C2×C42—431no—
1178C2×C42—431no—
1179C2×C42—431no—
1180C2×C42—431no—
1181C2×C42—431no—
1182C2×C42—431no—
1183C2×C42—1722no—
1184C2×C42—1722no—
1185C2×C42C22×D4311yescharacteristic
1186C2×C42C22×D4311yescharacteristic
1187#95—431no—
1188#95—431no—
1189#95—431no—
1190#95—431no—
1191#95—431no—
1192#95—431no—
1193#95—431no—
1194#95—431no—
1195#95—431no—
1196#95—431no—
1197#95—431no—
1198#95—431no—
1199#95—431no—
1200#95—431no—
1201#95—431no—
1202#95—431no—
1203#95—431no—
1204#95—431no—
1205#95—431no—
1206#95—431no—
1207#95—431no—
1208#95—431no—
1209#95C22×D4311yescharacteristic
1210#95C22×D4311yescharacteristic
1211#95C22×D4311yescharacteristic
1212#95C22×D4311yescharacteristic
1213#95C22×D4311yescharacteristic
1214#95C22×D4311yescharacteristic
1215#95C22×D4311yescharacteristic
1216#95C22×D4311yescharacteristic
1217#95C22×D4311yescharacteristic
1218#95C22×D4311yescharacteristic
1219C24—431no—
1220C24—431no—
1221C24—431no—
1222C24—431no—
1223C24—862no—
1224C24—862no—
1225C24—862no—
1226C24—1721no—
1227C24—1721no—
1228C24—1721no—
1229C24—1721no—
1230C24C23×D4311yescharacteristic
1231C24C23×D4311yescharacteristic
1232C2×Q8—22no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8—862no—
1236C2×Q8—1721no—
1237C2×Q8—1721no—
1238C2×D4—22no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—434no—
1242C2×D4—862no—
1243C2×D4—862no—
1244C2×D4—862no—
1245C2×D4—862no—
1246C2×D4—862no—
1247C2×D4—862no—
1248C2×D4—862no—
1249C2×D4—862no—
1250C2×D4—862no—
1251C2×D4—862no—
1252C2×D4—862no—
1253C2×D4—862no—
1254C2×D4—862no—
1255C2×D4—862no—
1256C2×D4—862no—
1257C2×D4—862no—
1258C2×D4—1721no—
1259C2×D4—1721no—
1260C2×D4—1721no—
1261C2×D4—1721no—
1262C2×D4—1721no—
1263C2×D4—1721no—
1264C2×D4—1721no—
1265C2×D4—1721no—
1266C2×D4—1721no—
1267C2×D4—1721no—
1268C2×D4—1721no—
1269C2×D4—1721no—
1270C2×D4—1721no—
1271C2×D4—1721no—
1272C2×D4—1721no—
1273C2×D4—1721no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—431no—
1277C22×C4—431no—
1278C22×C4—431no—
1279C22×C4—431no—
1280C22×C4—431no—
1281C22×C4—431no—
1282C22×C4—434no—
1283C22×C4—434no—
1284C22×C4—431no—
1285C22×C4—431no—
1286C22×C4—431no—
1287C22×C4—431no—
1288C22×C4—431no—
1289C22×C4—431no—
1290C22×C4—862no—
1291C22×C4—862no—
1292C22×C4—862no—
1293C22×C4—862no—
1294C22×C4—862no—
1295C22×C4—862no—
1296C22×C4—862no—
1297C22×C4—862no—
1298C22×C4—862no—
1299C22×C4—862no—
1300C22×C4—862no—
1301C22×C4—862no—
1302C22×C4—1721no—
1303C22×C4—1721no—
1304C22×C4—1721no—
1305C22×C4—1721no—
1306C22×C4—1721no—
1307C22×C4—1721no—
1308C22×C4—1721no—
1309C22×C4—1721no—
1310C22×C4—1721no—
1311C22×C4—1721no—
1312C22×C4—1721no—
1313C22×C4—1721no—
1314C22×C4—1721no—
1315C22×C4—1721no—
1316C22×C4—1721no—
1317C22×C4—1721no—
1318C22×C4D4×D4314yes—
1319C22×C4C23×D4311yescharacteristic
1320C22×C4C23×D4311yescharacteristic
1321C22×C4C23×D4311yescharacteristic
1322C22×C4C23×D4311yescharacteristic
1323C22×C4C23×D4311yescharacteristic
1324C22×C4C23×D4311yescharacteristic
1325C22×C4C23×D4311yescharacteristic
1326C22×C4C23×D4311yescharacteristic
1327C22×C4C23×D4311yescharacteristic
1328C22×C4C23×D4311yescharacteristic
1329C22×C4C23×D4311yescharacteristic
1330C22×C4C23×D4311yescharacteristic
1331C22×C4C23×D4311yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—434no—
1342C4⋊C4—862no—
1343C4⋊C4—862no—
1344C4⋊C4—862no—
1345C4⋊C4—862no—
1346C4⋊C4—862no—
1347C4⋊C4—862no—
1348C4⋊C4—862no—
1349C4⋊C4—862no—
1350C4⋊C4—862no—
1351C4⋊C4—862no—
1352C4⋊C4—862no—
1353C4⋊C4—862no—
1354C4⋊C4—862no—
1355C4⋊C4—862no—
1356C4⋊C4—862no—
1357C4⋊C4—862no—
1358C4⋊C4—1721no—
1359C4⋊C4—1721no—
1360C4⋊C4—1721no—
1361C4⋊C4—1721no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—434no—
1374C22⋊C4—434no—
1375C22⋊C4—434no—
1376C22⋊C4—862no—
1377C22⋊C4—862no—
1378C22⋊C4—862no—
1379C22⋊C4—862no—
1380C22⋊C4—862no—
1381C22⋊C4—862no—
1382C22⋊C4—862no—
1383C22⋊C4—862no—
1384C22⋊C4—862no—
1385C22⋊C4—862no—
1386C22⋊C4—862no—
1387C22⋊C4—862no—
1388C22⋊C4—862no—
1389C22⋊C4—862no—
1390C22⋊C4—862no—
1391C22⋊C4—862no—
1392C22⋊C4—862no—
1393C22⋊C4—862no—
1394C22⋊C4—862no—
1395C22⋊C4—862no—
1396C22⋊C4—862no—
1397C22⋊C4—862no—
1398C22⋊C4—862no—
1399C22⋊C4—862no—
1400C22⋊C4—862no—
1401C22⋊C4—862no—
1402C22⋊C4—862no—
1403C22⋊C4—862no—
1404C22⋊C4—1721no—
1405C22⋊C4—1721no—
1406C22⋊C4—1721no—
1407C22⋊C4—1721no—
1408C22⋊C4—1721no—
1409C22⋊C4—1721no—
1410C22⋊C4—1721no—
1411C22⋊C4—1721no—
1412C22⋊C4—1721no—
1413C22⋊C4—1721no—
1414C42—41no—
1415C42—41no—
1416C42—434no—
1417C42—862no—
1418C42—862no—
1419C42—862no—
1420C42—862no—
1421C42—862no—
1422C42—862no—
1423C42—862no—
1424C42—1721no—
1425C42—1721no—
1426C42—1721no—
1427C42—1721no—
1428C42—1721no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—432no—
1443C23—432no—
1444C23—432no—
1445C23—861no—
1446C23—861no—
1447C23—861no—
1448C23—861no—
1449C23—861no—
1450C23—861no—
1451C23—861no—
1452C23—861no—
1453C23—861no—
1454C23—861no—
1455C23—861no—
1456C23—861no—
1457C23—861no—
1458C23—861no—
1459C23—861no—
1460C23—861no—
1461C23—861no—
1462C23—861no—
1463C23—861no—
1464C23—861no—
1465C23—861no—
1466C23—861no—
1467C23—861no—
1468C23—861no—
1469C23—861no—
1470C23—3442no—
1471C23—3442no—
1472C23—3442no—
1473C23—3442no—
1474C23—1724no—
1475C23—1724no—
1476C23—1724no—
1477C23C2×D4×D4312yes—
1478C23C24×D4311yescharacteristic
1479Q8—82no—
1480Q8—3442no—
1481D4—82no—
1482D4—868no—
1483D4—3442no—
1484D4—3442no—
1485D4—3442no—
1486D4—3442no—
1487D4—3442no—
1488D4—3442no—
1489D4—3442no—
1490D4—1724no—
1491D4—1724no—
1492D4—1724no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—44no—
1529C2×C4—432no—
1530C2×C4—432no—
1531C2×C4—432no—
1532C2×C4—432no—
1533C2×C4—432no—
1534C2×C4—432no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—861no—
1540C2×C4—861no—
1541C2×C4—861no—
1542C2×C4—861no—
1543C2×C4—861no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—3442no—
1566C2×C4—3442no—
1567C2×C4—3442no—
1568C2×C4—3442no—
1569C2×C4—1724no—
1570C2×C4—1724no—
1571C2×C4—1724no—
1572C2×C4—1724no—
1573C2×C4—1724no—
1574C2×C4—1724no—
1575C2×C4C2×D4×D4312yes—
1576C2×C4C2×D4×D4312yes—
1577C2×C4#41×D4312yes—
1578C2×C4#41×D4312yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—434no—
1594C22—862no—
1595C22—862no—
1596C22—862no—
1597C22—862no—
1598C22—862no—
1599C22—862no—
1600C22—3448no—
1601C22—1721no—
1602C22—1721no—
1603C22—1721no—
1604C22—1721no—
1605C22—1721no—
1606C22—1721no—
1607C22—1721no—
1608C22—1721no—
1609C22—1721no—
1610C22—1721no—
1611C22—1721no—
1612C22—1721no—
1613C22—1721no—
1614C22—1721no—
1615C22—1721no—
1616C22—1721no—
1617C22—1721no—
1618C22—1721no—
1619C22—1721no—
1620C22—1721no—
1621C22—1721no—
1622C22C22×D4×D4311yescharacteristic
1623C22C2×#41×D4311yescharacteristic
1624C22C2×#41×D4311yescharacteristic
1625C22H(5,𝔽2)×D4311yescharacteristic
1626C22#1458373411yescharacteristic
1627C22#1458373611yescharacteristic
1628C22#1458373611yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—862no—
1643C4—862no—
1644C4—862no—
1645C4—862no—
1646C4—862no—
1647C4—862no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C2—42no—
1655C2—81no—
1656C2—864no—
1657C2—3441no—
1658C2—3441no—
1659C2—3441no—
1660C2#532×D4311yescharacteristic
1661C2#1914798211yescharacteristic
1662C2#1914800311yescharacteristic
1663C2#1914835611yescharacteristic
1664C2#1914838411yescharacteristic
1665C2#1914854111yescharacteristic
1666C2#1914865311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2663C2
hypercenter#2663D43
hypocenterC43#35009
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2663

Complements

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

NH ≅ G/Ntype
1. C2×#14583495C2semidirect
2. C2×#14583485C2semidirect
3. #19142964C2semidirect
4. #19142963C2semidirect
5. #19142924C2semidirect
6. #19142898C2semidirect
7. #19140758C2semidirect
8. #19140738C2semidirect
9. #19140721C2semidirect
10. #19139742C2semidirect
11. #19139719C2semidirect
12. #19139712C2semidirect
13. #19139689C2semidirect
14. #19139600C2semidirect
15. #19139552C2semidirect
16. #19139522C2semidirect
17. #19139480C2semidirect
18. #19139291C2semidirect
19. #19139263C2semidirect
20. #19138922C2semidirect
21. #19138724C2semidirect
22. #19138602C2semidirect
23. #19138565C2semidirect
24. #19138149C2semidirect
25. #19138132C2semidirect
26. #19137259C2semidirect
27. #19137248C2semidirect
28. #19137103C2semidirect
29. #388×D43C2semidirect
30. C4×(C22⋊D43)⋊C4C2semidirect
31. C43×#2663C2semidirect
35. C2×#13063320C22semidirect
37. C2×#13063318C22semidirect
38. C2×#13063315C22semidirect
39. C2×#13063315C22semidirect
46. C2×#13063308C22semidirect
48. C2×#13063307C22semidirect
51. C2×#13063301C22semidirect
63. C2×#13063287C22semidirect
71. C22×C4×Dic43C22semidirect
73. #14582841C22semidirect
75. #14582833C22semidirect
76. #14582832C22semidirect
77. #14582831C22semidirect
78. #14582830C22semidirect
80. #14582826C22semidirect
82. #14582823C22semidirect
85. #14582820C22semidirect
87. #14582817C22semidirect
90. #14582815C22semidirect
92. #14582812C22semidirect
96. #14582808C22semidirect
97. #14582806C22semidirect
98. #14582803C22semidirect
99. #14582803C22semidirect
101. #14582801C22semidirect
109. #14582798C22semidirect
110. #14582795C22semidirect
111. #14582794C22semidirect
112. #14582794C22semidirect
120. #14582791C22semidirect
121. #14582791C22semidirect
123. #14582790C22semidirect
126. #14582789C22semidirect
127. #14582789C22semidirect
128. #14582789C22semidirect
129. #14582789C22semidirect
133. #14582788C22semidirect
134. #14582788C22semidirect
137. #14582785C22semidirect
138. #14582781C22semidirect
147. #14582776C22semidirect
148. #14582776C22semidirect
149. #14582776C22semidirect
152. #14582773C22semidirect
154. #14582770C22semidirect
155. #14582764C22semidirect
157. #14582757C22semidirect
160. C4⋊C4×Dic43C22semidirect
161. C4×Dic43⋊C4C22semidirect
162. #14582750C22semidirect
163. #14582750C22semidirect
164. C22⋊C4×Dic43C22semidirect
165. C22⋊C4×Dic43C22semidirect
169. #14582746C22semidirect
170. #14582746C22semidirect
173. C42×Dic43C22semidirect
175. C2×C22⋊Q8×C43C22semidirect
176. C43×#400C22semidirect
178. C43×#397C22semidirect
179. C43×#397C22semidirect
180. C43×#395C22semidirect
184. C43×#389C22semidirect
185. C43×#389C22semidirect
188. C4×C22⋊C4×C43C22semidirect
242. C4×C22⋊D43D4semidirect
828. #2663D43semidirect
886. C2×C22⋊Q8C2×D43semidirect
909. #400C2×D43semidirect
918. #397C2×D43semidirect
919. #397C2×D43semidirect
925. #395C2×D43semidirect
956. #389C2×D43semidirect
957. #389C2×D43semidirect
1018. C4×C22⋊C4C2×D43semidirect
1022. C43#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#145834952
C2×#145834852
#191429642
#191429632
#191429242
#191428982
#191407582
#191407382
#191407212
#191397422
#191397192
#191397122
#191396892
#191396002
#191395522
#191395222
#191394802
#191392912
#191392632
#191389222
#191387242
#191386022
#191385652
#191381492
#191381322
#191372592
#191372482
#191371032
#388×D432
C4×(C22⋊D43)⋊C42
C43×#26632
#3500943