Finite Group Databasebeta

← #25256474

Subgroups — #25256474

Order 11008.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583576C211yesmaximal, characteristic
2#19137724C211yesmaximal, characteristic, complemented
3#19137714C211yesmaximal, characteristic, complemented
4#19137709C211yesmaximal, characteristic, complemented
5#19137706C211yesmaximal, characteristic, complemented
6#19137674C211yesmaximal, characteristic, complemented
7#19137594C211yesmaximal, characteristic, complemented
8#19137589C211yesmaximal, characteristic, complemented
9#19137577C211yesmaximal, characteristic
10#19137534C211yesmaximal, characteristic, complemented
11#19137531C211yesmaximal, characteristic, complemented
12#19137454C211yesmaximal, characteristic, complemented
13#19137453C211yesmaximal, characteristic, complemented
14#19137447C211yesmaximal, characteristic, complemented
15#19137442C211yesmaximal, characteristic, complemented
16#19137145C211yesmaximal, characteristic, complemented
17#19137145C211yesmaximal, characteristic, complemented
18#19137138C211yesmaximal, characteristic, complemented
19#19137133C211yesmaximal, characteristic, complemented
20C22⋊Q8×Dic43C211yesmaximal, characteristic, complemented
21#19137116C211yesmaximal, characteristic, complemented
22#19137116C211yesmaximal, characteristic, complemented
23#19137114C211yesmaximal, characteristic, complemented
24#19137096C211yesmaximal, characteristic
25C4×#13063287C211yesmaximal, characteristic, complemented
26C4×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
27C4×#13063283C211yesmaximal, characteristic, complemented
28C4×#13063281C211yesmaximal, characteristic, complemented
29C2×#14582746C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2368C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33#14583576C4116yescomplemented
34C2×#13063320C2211yescharacteristic
35C2×#13063320C2211yescharacteristic
36C2×#13063314C2211yescharacteristic
37C2×#13063310C2211yescharacteristic
38C2×#13063310C2211yescharacteristic
39C2×#13063309C2211yescharacteristic
40C2×#13063301C2211yescharacteristic
41C2×#13063295C2211yescharacteristic
42C2×Q8×Dic43C2211yescharacteristic, complemented
43C2×C4×D172C2211yescharacteristic
44C2×#13063287C2211yescharacteristic
45C2×#13063287C2211yescharacteristic
46C2×#13063287C2211yescharacteristic
47C2×C4×C22⋊D43C2211yescharacteristic
48C2×(C22⋊D43)⋊C4C2211yescharacteristic
49C2×(C22⋊D43)⋊C4C2211yescharacteristic
50C2×#13063283C2211yescharacteristic
51C2×#13063283C2211yescharacteristic
52C2×#13063281C2211yescharacteristic
53C2×#13063281C2211yescharacteristic
54C22×(C2×D43)⋊C4C2211yescharacteristic
55C22×(C2×D43)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D43C2211yescharacteristic
57C2×C22⋊C4×D43C2211yescharacteristic
58C22×C4×Dic43C2211yescharacteristic
59C22×C4×Dic43C2211yescharacteristic
60C2×C42×D43C2211yescharacteristic
61C2×C42×D43C2211yescharacteristic
62C2×C42×D43C2211yescharacteristic, complemented
63#14582806C2211yescharacteristic, complemented
64#14582801C2211yescharacteristic
65#14582798C2211yescharacteristic, complemented
66#14582797C2211yescharacteristic, complemented
67#14582791C2211yescharacteristic
68#14582791C2211yescharacteristic
69#14582791C2211yescharacteristic
70#14582791C2211yescharacteristic
71#14582791C2211yescharacteristic
72#14582791C2211yescharacteristic, complemented
73#14582791C2211yescharacteristic, complemented
74#14582791C2211yescharacteristic, complemented
75#14582790C2211yescharacteristic
76#14582790C2211yescharacteristic
77#14582790C2211yescharacteristic
78#14582790C2211yescharacteristic, complemented
79#14582789C2211yescharacteristic
80#14582789C2211yescharacteristic
81#14582789C2211yescharacteristic, complemented
82#14582789C2211yescharacteristic, complemented
83#14582786C2211yescharacteristic, complemented
84#14582786C2211yescharacteristic, complemented
85#14582786C2211yescharacteristic, complemented
86#14582786C2211yescharacteristic, complemented
87#14582785C2211yescharacteristic, complemented
88#14582785C2211yescharacteristic, complemented
89#14582784C2211yescharacteristic, complemented
90#14582784C2211yescharacteristic, complemented
91#14582782C2211yescharacteristic, complemented
92#14582782C2211yescharacteristic, complemented
93#14582780C2211yescharacteristic, complemented
94#14582780C2211yescharacteristic, complemented
95#14582778C2211yescharacteristic
96#14582778C2211yescharacteristic
97#14582777C2211yescharacteristic
98#14582777C2211yescharacteristic
99#14582777C2211yescharacteristic
100#14582777C2211yescharacteristic
101#14582774C2211yescharacteristic
102#14582774C2211yescharacteristic
103#14582773C2211yescharacteristic
104#14582773C2211yescharacteristic
105#14582773C2211yescharacteristic
106#14582773C2211yescharacteristic, complemented
107#14582770C2211yescharacteristic
108#14582770C2211yescharacteristic
109#14582766C2211yescharacteristic, complemented
110#14582766C2211yescharacteristic, complemented
111#14582764C2211yescharacteristic, complemented
112#14582761C2211yescharacteristic
113#14582761C2211yescharacteristic, complemented
114#14582760C2211yescharacteristic
115#14582759C2211yescharacteristic
116#14582756C2211yescharacteristic
117#14582754C2211yescharacteristic
118C4⋊C4×Dic43C2211yescharacteristic, complemented
119C4⋊C4×Dic43C2211yescharacteristic, complemented
120C4⋊C4×Dic43C2211yescharacteristic, complemented
121C4⋊C4×Dic43C2211yescharacteristic, complemented
122C4⋊C4×Dic43C2211yescharacteristic, complemented
123C4⋊C4×Dic43C2211yescharacteristic, complemented
124C4×Dic43⋊C4C2211yescharacteristic, complemented
125C4×Dic43⋊C4C2211yescharacteristic, complemented
126C4×Dic43⋊C4C2211yescharacteristic, complemented
127C4×C4⋊Dic43C2211yescharacteristic, complemented
128#14582750C2211yescharacteristic, complemented
129#14582750C2211yescharacteristic, complemented
130#14582750C2211yescharacteristic, complemented
131#14582750C2211yescharacteristic, complemented
132C22⋊C4×Dic43C2211yescharacteristic
133C22⋊C4×Dic43C2211yescharacteristic
134C22⋊C4×Dic43C2211yescharacteristic
135C22⋊C4×Dic43C2211yescharacteristic
136C4×(C2×D43)⋊C4C2211yescharacteristic
137C4×(C2×D43)⋊C4C2211yescharacteristic
138C4×(C2×D43)⋊C4C2211yescharacteristic
139C4×(C2×D43)⋊C4C2211yescharacteristic
140C4×(C2×D43)⋊C4C2211yescharacteristic
141C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
142C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
143C4×C22⋊Dic43C2211yescharacteristic
144C4×C22⋊Dic43C2211yescharacteristic
145#14582746C2211yescharacteristic
146#14582746C2211yescharacteristic
147#14582746C2211yescharacteristic
148#14582746C2211yescharacteristic
149#14582746C2211yescharacteristic
150#14582746C2211yescharacteristic
151#14582746C2211yescharacteristic
152#14582746C2211yescharacteristic
153#14582746C2211yescharacteristic
154#14582746C2211yescharacteristic
155#14582746C2211yescharacteristic
156#14582746C2211yescharacteristic
157#14582746C2211yescharacteristic
158#14582746C2211yescharacteristic, complemented
159#14582746C2211yescharacteristic, complemented
160#14582746C2211yescharacteristic, complemented
161#14582746C2211yescharacteristic, complemented
162#14582746C2211yescharacteristic, complemented
163#14582744C2211yescharacteristic, complemented
164#14582744C2211yescharacteristic, complemented
165#14582744C2211yescharacteristic, complemented
166#14582744C2211yescharacteristic, complemented
167C2×C43⋊#95C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170C42×Dic43C2211yescharacteristic, complemented
171C42×Dic43C2211yescharacteristic, complemented
172C42×Dic43C2211yescharacteristic, complemented
173C2×C22⋊Q8×C43C2211yescharacteristic
174C43×#391C2211yescharacteristic, complemented
175C43×#391C2211yescharacteristic, complemented
176C43×#387C2211yescharacteristic, complemented
177C43×#387C2211yescharacteristic, complemented
178C43×#387C2211yescharacteristic, complemented
179C43×#387C2211yescharacteristic, complemented
180C43×#385C2211yescharacteristic
181C43×#385C2211yescharacteristic
182C4×C4⋊C4×C43C2211yescharacteristic, complemented
183C4×C4⋊C4×C43C2211yescharacteristic, complemented
184C4×C22⋊C4×C43C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic
186C4×C22⋊C4×C43C2211yescharacteristic
187C2×#95×C43C2211yescharacteristic
188C24×D43C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C23×Dic43C2311yescharacteristic
193C23×Dic43C2311yescharacteristic
194C23×Dic43C2311yescharacteristic
195C22×C4×D43—24no—
196C22×C4×D43—24no—
197C22×C4×D43—42no—
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C22×C4×D43C2311yescharacteristic
209#13063320C2×C418yescomplemented
210#13063320C2×C418yescomplemented
211#13063314C2×C418yescomplemented
212#13063310C2×C418yescomplemented
213#13063310C2×C418yescomplemented
214#13063309C2×C418yescomplemented
215#13063301C2×C418yescomplemented
216#13063295C2×C418yes—
217Q8×Dic43—42no—
218C4×D172—24no—
219#13063287—24no—
220#13063287—42no—
221#13063287C2×C418yescomplemented
222C4×C22⋊D43C2×C418yescomplemented
223(C22⋊D43)⋊C4—24no—
224(C22⋊D43)⋊C4—24no—
225#13063283—24no—
226#13063283C2×C418yescomplemented
227#13063281—24no—
228#13063281C2×C418yescomplemented
229C2×C4⋊Dic43C2311yescharacteristic
230C2×C4⋊Dic43C2311yescharacteristic
231C2×C4⋊Dic43C2311yescharacteristic
232C2×C4⋊Dic43C2311yescharacteristic
233C2×C4⋊Dic43C2311yescharacteristic
234C2×C4⋊Dic43C2311yescharacteristic
235C2×C4⋊Dic43C2311yescharacteristic
236C2×C4⋊Dic43C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×C22⋊Dic43C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×(C2×D43)⋊C4—24no—
248C2×(C2×D43)⋊C4C2×C418yescomplemented
249C2×(C2×D43)⋊C4C2311yescharacteristic
250C2×(C2×D43)⋊C4C2311yescharacteristic
251C2×(C2×D43)⋊C4C2311yescharacteristic
252C2×(C2×D43)⋊C4C2311yescharacteristic
253C2×(C2×D43)⋊C4C2311yescharacteristic
254C2×(C2×D43)⋊C4C2311yescharacteristic
255C2×(C2×D43)⋊C4C2311yescharacteristic
256C2×(C2×D43)⋊C4C2311yescharacteristic
257C2×(C2×D43)⋊C4C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C22⋊C4×D43—24no—
277C22⋊C4×D43C2×C418yescomplemented
278C2×C4×Dic43—24no—
279C2×C4×Dic43—42no—
280C2×C4×Dic43C2311yescharacteristic
281C2×C4×Dic43C2311yescharacteristic
282C2×C4×Dic43C2311yescharacteristic
283C2×C4×Dic43C2311yescharacteristic
284C2×C4×Dic43C2311yescharacteristic
285C2×C4×Dic43C2311yescharacteristic
286C2×C4×Dic43C2311yescharacteristic
287C2×C4×Dic43C2311yescharacteristic
288C2×C4×Dic43C2311yescharacteristic
289C2×C4×Dic43C2311yescharacteristic
290C2×C4×Dic43C2311yescharacteristic
291C2×C4×Dic43C2311yescharacteristic
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
294C2×C4×Dic43C2311yescharacteristic
295C2×C4×Dic43C2311yescharacteristic
296C2×C4×Dic43C2311yescharacteristic
297C2×C4×Dic43C2311yescharacteristic
298C2×C4×Dic43C2311yescharacteristic
299C2×C4×Dic43C2311yescharacteristic
300C2×C4×Dic43C2311yescharacteristic
301C2×C4×Dic43C2311yescharacteristic
302C2×C4×Dic43C2311yescharacteristic
303C2×C4×Dic43C2311yescharacteristic
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C42×D43—24no—
308C42×D43—42no—
309C42×D43—42no—
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
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
340C22×Q8×C43C2311yescharacteristic
341C23×C4×C43C2311yescharacteristic
342C23×C4×C43C2311yescharacteristic
343C23×C4×C43C2311yescharacteristic
344C22⋊Q8×C43C2×C418yescomplemented
345C2×C4⋊C4×C43C2311yescharacteristic
346C2×C4⋊C4×C43C2311yescharacteristic
347C2×C4⋊C4×C43C2311yescharacteristic
348C2×C4⋊C4×C43C2311yescharacteristic
349C2×C4⋊C4×C43C2311yescharacteristic
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C4⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C42×C43C2311yescharacteristic
357C2×C42×C43C2311yescharacteristic
358C2×C42×C43C2311yescharacteristic
359C2×C42×C43C2311yescharacteristic
360C2×C42×C43C2311yescharacteristic
361C2×C42×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376C24×C43C2411yescharacteristic
377C23×D43—22no—
378C23×D43—22no—
379C23×D43—22no—
380C23×D43—22no—
381C23×D43—41no—
382C23×D43—41no—
383C23×D43C22×C414yes—
384C23×D43C2411yescharacteristic
385C23×D43C2411yescharacteristic
386C23×D43C2411yescharacteristic
387C2×Q8×C43—41no—
388C2×Q8×C43—41no—
389C2×Q8×C43C22×C414yescomplemented
390C22×C4×C43—22no—
391C22×C4×C43—22no—
392C22×C4×C43—22no—
393C22×C4×C43—22no—
394C22×C4×C43—41no—
395C22×C4×C43—41no—
396C22×C4×C43—41no—
397C22×C4×C43—41no—
398C22×C4×C43C22×C414yes—
399C22×C4×C43C2411yescharacteristic
400C22×C4×C43C2411yescharacteristic
401C22×C4×C43C2411yescharacteristic
402C22×C4×C43C2411yescharacteristic
403C22×C4×C43C2411yescharacteristic
404C22×C4×C43C2411yescharacteristic
405C22×C4×C43C2411yescharacteristic
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C2×C22⋊D43—22no—
414C2×C22⋊D43—22no—
415C2×C22⋊D43C22×C414yes—
416C22×Dic43—22no—
417C22×Dic43—22no—
418C22×Dic43—22no—
419C22×Dic43—22no—
420C22×Dic43—22no—
421C22×Dic43—22no—
422C22×Dic43—41no—
423C22×Dic43C22×C414yes—
424C22×Dic43#4114yes—
425C22×Dic43C2411yescharacteristic
426C22×Dic43C2411yescharacteristic
427C22×Dic43C2411yescharacteristic
428C22×Dic43C2411yescharacteristic
429C22×Dic43C2411yescharacteristic
430C22×Dic43C2411yescharacteristic
431C22×Dic43C2411yescharacteristic
432C22×Dic43C2411yescharacteristic
433C22×Dic43C2411yescharacteristic
434C22×Dic43C2411yescharacteristic
435C22×Dic43C2411yescharacteristic
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C2×D172—22no—
439C2×D172—22no—
440C2×D172—41no—
441C2×D172—41no—
442C2×D172C22×C414yes—
443C2×D172C22×C414yes—
444C2×C4×D43—22no—
445C2×C4×D43—22no—
446C2×C4×D43—22no—
447C2×C4×D43—22no—
448C2×C4×D43—22no—
449C2×C4×D43—22no—
450C2×C4×D43—22no—
451C2×C4×D43—22no—
452C2×C4×D43—22no—
453C2×C4×D43—22no—
454C2×C4×D43—22no—
455C2×C4×D43—22no—
456C2×C4×D43—22no—
457C2×C4×D43—22no—
458C2×C4×D43—22no—
459C2×C4×D43—22no—
460C2×C4×D43—22no—
461C2×C4×D43—22no—
462C2×C4×D43—22no—
463C2×C4×D43—22no—
464C2×C4×D43—41no—
465C2×C4×D43—41no—
466C2×C4×D43—41no—
467C2×C4×D43—41no—
468C2×C4×D43—41no—
469C2×C4×D43—41no—
470C2×C4×D43—41no—
471C2×C4×D43—41no—
472C2×C4×D43—41no—
473C2×C4×D43—416no—
474C2×C4×D43C22×C414yes—
475C2×C4×D43C22×C414yes—
476C2×C4×D43C22×C414yescomplemented
477C2×C4×D43#4114yes—
478C4⋊C4×C43—22no—
479C4⋊C4×C43—22no—
480C4⋊C4×C43—41no—
481C4⋊C4×C43—41no—
482C4⋊C4×C43C22×C414yescomplemented
483C4⋊C4×C43C22×C414yescomplemented
484C4⋊C4×C43C22×C414yescomplemented
485C22⋊C4×C43—22no—
486C22⋊C4×C43C22×C414yes—
487C22⋊C4×C43C22×C414yes—
488C22⋊C4×C43#4114yes—
489C42×C43—22no—
490C42×C43—22no—
491C42×C43—41no—
492C42×C43—41no—
493C42×C43—41no—
494C42×C43—41no—
495C22⋊Dic43—22no—
496C22⋊Dic43—22no—
497C22⋊Dic43C22×C414yes—
498(C2×D43)⋊C4—22no—
499(C2×D43)⋊C4—22no—
500(C2×D43)⋊C4—22no—
501(C2×D43)⋊C4—22no—
502(C2×D43)⋊C4—22no—
503(C2×D43)⋊C4—22no—
504(C2×D43)⋊C4—22no—
505(C2×D43)⋊C4—22no—
506(C2×D43)⋊C4—22no—
507(C2×D43)⋊C4—22no—
508(C2×D43)⋊C4—22no—
509(C2×D43)⋊C4—41no—
510(C2×D43)⋊C4—41no—
511(C2×D43)⋊C4—41no—
512(C2×D43)⋊C4—41no—
513(C2×D43)⋊C4C22×C414yes—
514(C2×D43)⋊C4C22×C414yes—
515(C2×D43)⋊C4C22×C414yes—
516(C2×D43)⋊C4C22×C414yes—
517(C2×D43)⋊C4C22×C414yes—
518(C2×D43)⋊C4C22×C414yes—
519(C2×D43)⋊C4C22×C414yes—
520(C2×D43)⋊C4C22×C414yes—
521(C2×D43)⋊C4C22×C414yescomplemented
522(C2×D43)⋊C4C22×C414yescomplemented
523(C2×D43)⋊C4C22×C414yescomplemented
524(C2×D43)⋊C4#4114yes—
525C4⋊Dic43—22no—
526C4⋊Dic43—22no—
527C4⋊Dic43—41no—
528C4⋊Dic43—41no—
529C4⋊Dic43—41no—
530C4⋊Dic43—41no—
531C4⋊Dic43C22×C414yescomplemented
532C4⋊Dic43C22×C414yescomplemented
533Dic43⋊C4—22no—
534Dic43⋊C4—22no—
535Dic43⋊C4—22no—
536Dic43⋊C4—22no—
537Dic43⋊C4C22×C414yescomplemented
538Dic43⋊C4C22×C414yescomplemented
539Dic43⋊C4C22×C414yescomplemented
540C4×Dic43—22no—
541C4×Dic43—22no—
542C4×Dic43—22no—
543C4×Dic43—22no—
544C4×Dic43—22no—
545C4×Dic43—22no—
546C4×Dic43—22no—
547C4×Dic43—22no—
548C4×Dic43—22no—
549C4×Dic43—22no—
550C4×Dic43—22no—
551C4×Dic43—22no—
552C4×Dic43—22no—
553C4×Dic43—22no—
554C4×Dic43—22no—
555C4×Dic43—22no—
556C4×Dic43—22no—
557C4×Dic43—22no—
558C4×Dic43—22no—
559C4×Dic43—41no—
560C4×Dic43—41no—
561C4×Dic43—41no—
562C4×Dic43—41no—
563C4×Dic43—41no—
564C4×Dic43C22×C414yescomplemented
565C4×Dic43C22×C414yescomplemented
566C4×Dic43C22×C414yescomplemented
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43C23×C412yes—
572C23×C43C2×#4112yes—
573C23×C43C2×#4112yes—
574C23×C43C2511yescharacteristic
575C22×D43—21no—
576C22×D43—21no—
577C22×D43—21no—
578C22×D43—21no—
579C22×D43—28no—
580C22×D43—21no—
581C22×D43—21no—
582C22×D43—21no—
583C22×D43—21no—
584C22×D43—21no—
585C22×D43—21no—
586C22×D43—21no—
587C22×D43—21no—
588C22×D43—21no—
589C22×D43—21no—
590C22×D43—21no—
591C22×D43—21no—
592C22×D43—28no—
593C22×D43—44no—
594C22×D43—44no—
595C22×D43—44no—
596C22×D43—44no—
597C22×D43—44no—
598C22×D43C23×C412yes—
599C22×D43C23×C412yes—
600C22×D43C23×C412yes—
601C22×D43C2×#4112yes—
602C22×D43C2×#4112yes—
603Q8×C43—44no—
604C2×C4×C43—21no—
605C2×C4×C43—21no—
606C2×C4×C43—21no—
607C2×C4×C43—21no—
608C2×C4×C43—21no—
609C2×C4×C43—21no—
610C2×C4×C43—21no—
611C2×C4×C43—21no—
612C2×C4×C43—21no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—44no—
637C2×C4×C43—44no—
638C2×C4×C43—44no—
639C2×C4×C43C23×C412yes—
640C2×C4×C43C23×C412yes—
641C2×C4×C43C23×C412yes—
642C2×C4×C43C23×C412yes—
643C2×C4×C43C23×C412yes—
644C2×C4×C43C23×C412yes—
645C2×C4×C43C2×#4112yes—
646C2×C4×C43C2×#4112yes—
647C2×C4×C43C2×#4112yes—
648C2×C4×C43C2×#4112yes—
649C22⋊D43—28no—
650C2×Dic43—28no—
651C2×Dic43—21no—
652C2×Dic43—21no—
653C2×Dic43—21no—
654C2×Dic43—21no—
655C2×Dic43—21no—
656C2×Dic43—21no—
657C2×Dic43—21no—
658C2×Dic43—21no—
659C2×Dic43—21no—
660C2×Dic43—21no—
661C2×Dic43—21no—
662C2×Dic43—21no—
663C2×Dic43—21no—
664C2×Dic43—21no—
665C2×Dic43—28no—
666C2×Dic43—21no—
667C2×Dic43—21no—
668C2×Dic43—21no—
669C2×Dic43—21no—
670C2×Dic43—21no—
671C2×Dic43—21no—
672C2×Dic43—21no—
673C2×Dic43—21no—
674C2×Dic43—21no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—44no—
682C2×Dic43C23×C412yes—
683C2×Dic43C23×C412yes—
684C2×Dic43C23×C412yes—
685C2×Dic43C23×C412yes—
686C2×Dic43C23×C412yes—
687C2×Dic43C2×#4112yes—
688C2×Dic43C2×#4112yes—
689C2×Dic43C2×#4112yes—
690C2×Dic43C2×#4112yes—
691C2×Dic43H(5,𝔽2)12yes—
692D172—28no—
693D172—44no—
694C4×D43—28no—
695C4×D43—28no—
696C4×D43—44no—
697C4×D43—44no—
698C4×D43—44no—
699C4×D43—44no—
700C4×D43—44no—
701C4×D43—44no—
702C4×D43—44no—
703C4×D43—44no—
704C4×D43—44no—
705C4×#551—431nomaximal, Sylow
706C22×C43—22no—
707C22×C43—22no—
708C22×C43—22no—
709C22×C43—22no—
710C22×C43—22no—
711C22×C43—22no—
712C22×C43C4×#4114yes—
713C22×C43C24×C411yescharacteristic
714C22×C43C22×#4111yescharacteristic
715C22×C43C22×#4111yescharacteristic
716C22×C43C22×#4111yescharacteristic
717C22×C43C22×#4111yescharacteristic
718C22×C43C2×H(5,𝔽2)11yescharacteristic
719C22×C43#58511yescharacteristic
720C2×D43—22no—
721C2×D43—22no—
722C2×D43—22no—
723C2×D43—22no—
724C2×D43—22no—
725C2×D43—22no—
726C2×D43—22no—
727C2×D43—22no—
728C2×D43—22no—
729C2×D43—22no—
730C2×D43—22no—
731C2×D43—22no—
732C2×D43—416no—
733C2×D43—41no—
734C2×D43—41no—
735C2×D43—41no—
736C2×D43—41no—
737C2×D43—41no—
738C2×D43—41no—
739C2×D43—41no—
740C2×D43—41no—
741C2×D43C4×#4114yes—
742C4×C43—22no—
743C4×C43—22no—
744C4×C43—22no—
745C4×C43—22no—
746C4×C43—22no—
747C4×C43—22no—
748C4×C43—22no—
749C4×C43—22no—
750C4×C43—22no—
751C4×C43—22no—
752C4×C43—41no—
753C4×C43—41no—
754C4×C43—41no—
755C4×C43—41no—
756Dic43—22no—
757Dic43—22no—
758Dic43—22no—
759Dic43—22no—
760Dic43—22no—
761Dic43—22no—
762Dic43—22no—
763Dic43—41no—
764Dic43—41no—
765Dic43—41no—
766Dic43—41no—
767Dic43—41no—
768Dic43#55114yescomplemented
769C2×#551—431no—
770#2374—431no—
771#2373—431no—
772#2373—431no—
773#2372—431no—
774#2368—431no—
775#2368D4311yescharacteristic, complemented
776#2359—431no—
777#2359—431no—
778#2358—431no—
779#2353—431no—
780#2353—431no—
781#2343—431no—
782#2343—431no—
783#2342—431no—
784#2342—431no—
785C4×#126—431no—
786C4×#126—431no—
787C4×#124—431no—
788C4×C22⋊Q8—431no—
789C4×C22⋊Q8—431no—
790C4×#123—431no—
791C4×#123—431no—
792C4×#123—431no—
793C4×#120—431no—
794C42×D4—431no—
795C42×D4—431no—
796C4×#117—431no—
797C4×#117—431no—
798C2×C4×C22⋊C4—431no—
799C2×C4×C22⋊C4—431no—
800C2×C43—24no—
801C2×C43C2×C4×#4111yescharacteristic
802C2×C43C2×C4×#4111yescharacteristic
803C2×C43C4×H(5,𝔽2)11yescharacteristic
804C2×C43C2×#55111yescharacteristic
805C2×C43#347511yescharacteristic
806C2×C43#347511yescharacteristic
807C2×C43#348111yescharacteristic
808D43—24no—
809D43—42no—
810D43—42no—
811C24×C4—431no—
812#551—4316no—
813C2×#126—431no—
814C2×#126—431no—
815C2×#124—431no—
816C2×#123—431no—
817C2×#123—431no—
818C2×#123—431no—
819C2×C22⋊Q8—431no—
820C2×C22⋊Q8C2×D4311yescharacteristic
821C2×#120—431no—
822C2×C4×Q8—431no—
823C2×C4×D4—431no—
824C2×C4×D4—431no—
825C2×C4×D4—431no—
826C2×C4×D4—431no—
827C2×C4×D4—431no—
828C2×C4×D4—431no—
829C2×C4×D4—431no—
830C2×#117—431no—
831C2×#117—431no—
832C2×#117—431no—
833C2×#117—431no—
834C22×C22⋊C4—431no—
835C22×C22⋊C4—431no—
836C22×C22⋊C4—431no—
837C22×C22⋊C4—431no—
838C22×C42—431no—
839C22×C42—431no—
840C22×C42—431no—
841C22×C42—431no—
842C22×C42—431no—
843#391—431no—
844#391C2×D4311yescharacteristic, complemented
845#391C2×D4311yescharacteristic, complemented
846#390—431no—
847#389—431no—
848#389—431no—
849#388—431no—
850#388—431no—
851#388—431no—
852#388—431no—
853#388—431no—
854#388—431no—
855#388—431no—
856#388—431no—
857#388—431no—
858#388—431no—
859#388—431no—
860#388—431no—
861#388—431no—
862#388—431no—
863#388—431no—
864#388—431no—
865#387—431no—
866#387—431no—
867#387—431no—
868#387—431no—
869#387—431no—
870#387—431no—
871#387—431no—
872#387—431no—
873#387—431no—
874#387—431no—
875#387—431no—
876#387—431no—
877#387C2×D4311yescharacteristic, complemented
878#387C2×D4311yescharacteristic, complemented
879#387C2×D4311yescharacteristic, complemented
880#387C2×D4311yescharacteristic, complemented
881#386—431no—
882#386—431no—
883#386—431no—
884#386—431no—
885#386—431no—
886#386—431no—
887#385—431no—
888#385—431no—
889#385—431no—
890#385—431no—
891#385—431no—
892#385—431no—
893#385—431no—
894#385—431no—
895#385C2×D4311yescharacteristic
896#385C2×D4311yescharacteristic
897#383—431no—
898#383—431no—
899#382—431no—
900#381—431no—
901#381—431no—
902#381—431no—
903#380—431no—
904#380—431no—
905#379—431no—
906C4×C4⋊C4—431no—
907C4×C4⋊C4—431no—
908C4×C4⋊C4—431no—
909C4×C4⋊C4—431no—
910C4×C4⋊C4—431no—
911C4×C4⋊C4—431no—
912C4×C4⋊C4—431no—
913C4×C4⋊C4—431no—
914C4×C4⋊C4—431no—
915C4×C4⋊C4—431no—
916C4×C4⋊C4—431no—
917C4×C4⋊C4—431no—
918C4×C4⋊C4—431no—
919C4×C4⋊C4—431no—
920C4×C4⋊C4C2×D4311yescharacteristic, complemented
921C4×C4⋊C4C2×D4311yescharacteristic, complemented
922C4×C22⋊C4—431no—
923C4×C22⋊C4—431no—
924C4×C22⋊C4—431no—
925C4×C22⋊C4—431no—
926C4×C22⋊C4—431no—
927C4×C22⋊C4—431no—
928C4×C22⋊C4—431no—
929C4×C22⋊C4—431no—
930C4×C22⋊C4—431no—
931C4×C22⋊C4—431no—
932C4×C22⋊C4—431no—
933C4×C22⋊C4—431no—
934C4×C22⋊C4—431no—
935C4×C22⋊C4—431no—
936C4×C22⋊C4—431no—
937C4×C22⋊C4—431no—
938C4×C22⋊C4—431no—
939C4×C22⋊C4—431no—
940C4×C22⋊C4—431no—
941C4×C22⋊C4—431no—
942C4×C22⋊C4—431no—
943C4×C22⋊C4—431no—
944C4×C22⋊C4—431no—
945C4×C22⋊C4—431no—
946C4×C22⋊C4—431no—
947C4×C22⋊C4—431no—
948C4×C22⋊C4—431no—
949C4×C22⋊C4—431no—
950C4×C22⋊C4—431no—
951C4×C22⋊C4—431no—
952C4×C22⋊C4—431no—
953C4×C22⋊C4C2×D4311yescharacteristic
954C4×C22⋊C4C2×D4311yescharacteristic
955C4×C22⋊C4C2×D4311yescharacteristic
956#376—431no—
957#376—431no—
958#376—431no—
959#376—431no—
960C2×#95—431no—
961C2×#95—431no—
962C2×#95—431no—
963C2×#95C2×D4311yescharacteristic
964C43—431no—
965C43—431no—
966C43—431no—
967C43C4×#55111yescharacteristic, complemented, Sylow
968C25—431no—
969C22×Q8C22×D4311yescharacteristic
970C22×D4—431no—
971C22×D4—431no—
972C22×D4—431no—
973C23×C4—431no—
974C23×C4—431no—
975C23×C4—431no—
976C23×C4—431no—
977C23×C4—431no—
978C23×C4—431no—
979C23×C4—431no—
980C23×C4—431no—
981C23×C4—431no—
982C23×C4—431no—
983C23×C4—431no—
984C23×C4—431no—
985C23×C4—431no—
986C23×C4—431no—
987C23×C4—864no—
988C23×C4—864no—
989C23×C4—1722no—
990C23×C4C22×D4311yescharacteristic
991C23×C4C22×D4311yescharacteristic
992C23×C4C22×D4311yescharacteristic
993#126—438no—
994#126—438no—
995#124—438no—
996#123—438no—
997#123—438no—
998#123—438no—
999C22⋊Q8—438no—
1000C22⋊Q8C4×D4318yescomplemented
1001#120—438no—
1002C4×Q8—1722no—
1003C4×D4—438no—
1004C4×D4—438no—
1005C4×D4—864no—
1006C4×D4—864no—
1007C4×D4—864no—
1008C4×D4—864no—
1009C4×D4—1722no—
1010#117—438no—
1011#117—438no—
1012#117—864no—
1013#117—864no—
1014C2×C4⋊C4—431no—
1015C2×C4⋊C4—431no—
1016C2×C4⋊C4—431no—
1017C2×C4⋊C4—431no—
1018C2×C4⋊C4—431no—
1019C2×C4⋊C4—431no—
1020C2×C4⋊C4—431no—
1021C2×C4⋊C4—431no—
1022C2×C4⋊C4—431no—
1023C2×C4⋊C4—431no—
1024C2×C4⋊C4—431no—
1025C2×C4⋊C4—431no—
1026C2×C4⋊C4—431no—
1027C2×C4⋊C4—431no—
1028C2×C4⋊C4—431no—
1029C2×C4⋊C4C22×D4311yescharacteristic
1030C2×C4⋊C4C22×D4311yescharacteristic
1031C2×C4⋊C4C22×D4311yescharacteristic
1032C2×C4⋊C4C22×D4311yescharacteristic
1033C2×C4⋊C4C22×D4311yescharacteristic
1034C2×C4⋊C4C22×D4311yescharacteristic
1035C2×C4⋊C4C22×D4311yescharacteristic
1036C2×C22⋊C4—431no—
1037C2×C22⋊C4—438no—
1038C2×C22⋊C4—431no—
1039C2×C22⋊C4—431no—
1040C2×C22⋊C4—431no—
1041C2×C22⋊C4—431no—
1042C2×C22⋊C4—431no—
1043C2×C22⋊C4—431no—
1044C2×C22⋊C4—431no—
1045C2×C22⋊C4—431no—
1046C2×C22⋊C4—431no—
1047C2×C22⋊C4—431no—
1048C2×C22⋊C4—431no—
1049C2×C22⋊C4—431no—
1050C2×C22⋊C4—438no—
1051C2×C22⋊C4—431no—
1052C2×C22⋊C4—431no—
1053C2×C22⋊C4—431no—
1054C2×C22⋊C4—431no—
1055C2×C22⋊C4—431no—
1056C2×C22⋊C4—431no—
1057C2×C22⋊C4—431no—
1058C2×C22⋊C4—431no—
1059C2×C22⋊C4—431no—
1060C2×C22⋊C4—431no—
1061C2×C22⋊C4—431no—
1062C2×C22⋊C4—431no—
1063C2×C22⋊C4—431no—
1064C2×C22⋊C4—431no—
1065C2×C22⋊C4—431no—
1066C2×C22⋊C4—431no—
1067C2×C22⋊C4—431no—
1068C2×C22⋊C4—864no—
1069C2×C22⋊C4—864no—
1070C2×C22⋊C4C22×D4311yescharacteristic
1071C2×C22⋊C4C22×D4311yescharacteristic
1072C2×C22⋊C4C22×D4311yescharacteristic
1073C2×C22⋊C4C22×D4311yescharacteristic
1074C2×C42—431no—
1075C2×C42—431no—
1076C2×C42—431no—
1077C2×C42—431no—
1078C2×C42—431no—
1079C2×C42—431no—
1080C2×C42—431no—
1081C2×C42—431no—
1082C2×C42—431no—
1083C2×C42—431no—
1084C2×C42—431no—
1085C2×C42—431no—
1086C2×C42—431no—
1087C2×C42—431no—
1088C2×C42—431no—
1089C2×C42—431no—
1090C2×C42—431no—
1091C2×C42—431no—
1092C2×C42—431no—
1093C2×C42—431no—
1094C2×C42—431no—
1095C2×C42—431no—
1096C2×C42—431no—
1097C2×C42—431no—
1098C2×C42—431no—
1099C2×C42—431no—
1100C2×C42—431no—
1101C2×C42—864no—
1102C2×C42—864no—
1103C2×C42—1722no—
1104C2×C42—1722no—
1105C2×C42—1722no—
1106C2×C42C22×D4311yescharacteristic
1107C2×C42C22×D4311yescharacteristic
1108C2×C42C22×D4311yescharacteristic
1109C2×C42C22×D4311yescharacteristic
1110C2×C42C22×D4311yescharacteristic
1111C2×C42C22×D4311yescharacteristic
1112#95—431no—
1113#95—431no—
1114#95—431no—
1115#95—431no—
1116#95—431no—
1117#95—431no—
1118#95—431no—
1119#95—431no—
1120#95—431no—
1121#95—431no—
1122#95—431no—
1123#95—431no—
1124#95—431no—
1125#95—431no—
1126#95—431no—
1127#95—431no—
1128#95—431no—
1129#95—431no—
1130#95—431no—
1131#95—431no—
1132#95—431no—
1133#95—431no—
1134#95—431no—
1135#95—431no—
1136#95—431no—
1137#95—431no—
1138#95—431no—
1139#95—431no—
1140#95—431no—
1141#95—431no—
1142#95C22×D4311yescharacteristic
1143#95C22×D4311yescharacteristic
1144#95C22×D4311yescharacteristic
1145#95C22×D4311yescharacteristic
1146#95C22×D4311yescharacteristic
1147#95C22×D4311yescharacteristic
1148#95C22×D4311yescharacteristic
1149#95C22×D4311yescharacteristic
1150#95C22×D4311yescharacteristic
1151#95C22×D4311yescharacteristic
1152#95C22×D4311yescharacteristic
1153#95C22×D4311yescharacteristic
1154#95C22×D4311yescharacteristic
1155#95C22×D4311yescharacteristic
1156C24—431no—
1157C24—431no—
1158C24—431no—
1159C24—434no—
1160C24—862no—
1161C24—862no—
1162C24—862no—
1163C24—862no—
1164C24—1721no—
1165C24—1721no—
1166C24C23×D4311yescharacteristic
1167C2×Q8—41no—
1168C2×Q8—41no—
1169C2×Q8C2×C4×D4314yescomplemented
1170C2×D4—434no—
1171C2×D4—434no—
1172C2×D4—434no—
1173C2×D4—862no—
1174C2×D4—862no—
1175C2×D4—862no—
1176C2×D4—862no—
1177C2×D4—1721no—
1178C2×D4—1721no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—431no—
1188C22×C4—434no—
1189C22×C4—434no—
1190C22×C4—431no—
1191C22×C4—431no—
1192C22×C4—431no—
1193C22×C4—431no—
1194C22×C4—431no—
1195C22×C4—431no—
1196C22×C4—431no—
1197C22×C4—434no—
1198C22×C4—434no—
1199C22×C4—434no—
1200C22×C4—434no—
1201C22×C4—431no—
1202C22×C4—431no—
1203C22×C4—431no—
1204C22×C4—431no—
1205C22×C4—431no—
1206C22×C4—862no—
1207C22×C4—862no—
1208C22×C4—862no—
1209C22×C4—862no—
1210C22×C4—862no—
1211C22×C4—862no—
1212C22×C4—862no—
1213C22×C4—862no—
1214C22×C4—862no—
1215C22×C4—862no—
1216C22×C4—862no—
1217C22×C4—862no—
1218C22×C4—862no—
1219C22×C4—862no—
1220C22×C4—862no—
1221C22×C4—862no—
1222C22×C4—862no—
1223C22×C4—862no—
1224C22×C4—862no—
1225C22×C4—862no—
1226C22×C4—862no—
1227C22×C4—862no—
1228C22×C4—862no—
1229C22×C4—862no—
1230C22×C4—862no—
1231C22×C4—862no—
1232C22×C4—1721no—
1233C22×C4—1721no—
1234C22×C4—1721no—
1235C22×C4—1721no—
1236C22×C4—1721no—
1237C22×C4—1721no—
1238C22×C4—1721no—
1239C22×C4—1721no—
1240C22×C4—1721no—
1241C22×C4—17216no—
1242C22×C4—1721no—
1243C22×C4C2×C4×D4314yes—
1244C22×C4C23×D4311yescharacteristic
1245C22×C4C23×D4311yescharacteristic
1246C22×C4C23×D4311yescharacteristic
1247C22×C4C23×D4311yescharacteristic
1248C22×C4C23×D4311yescharacteristic
1249C22×C4C23×D4311yescharacteristic
1250C22×C4C23×D4311yescharacteristic
1251C22×C4C23×D4311yescharacteristic
1252C22×C4C23×D4311yescharacteristic
1253C22×C4C23×D4311yescharacteristic
1254C22×C4C23×D4311yescharacteristic
1255C22×C4C23×D4311yescharacteristic
1256C22×C4C23×D4311yescharacteristic
1257C22×C4C23×D4311yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—434no—
1263C4⋊C4—434no—
1264C4⋊C4—434no—
1265C4⋊C4—434no—
1266C4⋊C4—434no—
1267C4⋊C4—862no—
1268C4⋊C4—862no—
1269C4⋊C4—862no—
1270C4⋊C4—862no—
1271C4⋊C4—862no—
1272C4⋊C4—862no—
1273C4⋊C4—1721no—
1274C4⋊C4—1721no—
1275C4⋊C4—1721no—
1276C4⋊C4—1721no—
1277C4⋊C4C2×C4×D4314yescomplemented
1278C4⋊C4C2×C4×D4314yescomplemented
1279C4⋊C4C2×C4×D4314yescomplemented
1280C22⋊C4—22no—
1281C22⋊C4—434no—
1282C22⋊C4—434no—
1283C22⋊C4—434no—
1284C22⋊C4—434no—
1285C22⋊C4—434no—
1286C22⋊C4—434no—
1287C22⋊C4—434no—
1288C22⋊C4—434no—
1289C22⋊C4—434no—
1290C22⋊C4—434no—
1291C22⋊C4—434no—
1292C22⋊C4—434no—
1293C22⋊C4—434no—
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—862no—
1303C22⋊C4—862no—
1304C22⋊C4—862no—
1305C22⋊C4—862no—
1306C22⋊C4—862no—
1307C22⋊C4—1721no—
1308C22⋊C4—1721no—
1309C22⋊C4—1721no—
1310C22⋊C4—1721no—
1311C22⋊C4C2×C4×D4314yes—
1312C22⋊C4C2×C4×D4314yes—
1313C22⋊C4#1062190214yes—
1314C42—22no—
1315C42—22no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—434no—
1321C42—434no—
1322C42—434no—
1323C42—862no—
1324C42—862no—
1325C42—862no—
1326C42—862no—
1327C42—862no—
1328C42—862no—
1329C42—862no—
1330C42—862no—
1331C42—862no—
1332C42—862no—
1333C42—862no—
1334C42—862no—
1335C42—862no—
1336C42—862no—
1337C42—862no—
1338C42—862no—
1339C42—862no—
1340C42—862no—
1341C42—862no—
1342C42—1721no—
1343C42—1721no—
1344C42—1721no—
1345C42—1721no—
1346C42—1721no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—432no—
1352C23—432no—
1353C23—432no—
1354C23—432no—
1355C23—432no—
1356C23—868no—
1357C23—861no—
1358C23—861no—
1359C23—861no—
1360C23—861no—
1361C23—868no—
1362C23—861no—
1363C23—861no—
1364C23—861no—
1365C23—861no—
1366C23—861no—
1367C23—861no—
1368C23—861no—
1369C23—861no—
1370C23—861no—
1371C23—861no—
1372C23—861no—
1373C23—861no—
1374C23—1724no—
1375C23—1724no—
1376C23—1724no—
1377C23—1724no—
1378C23—1724no—
1379C23C22×C4×D4312yes—
1380C23#41×D4312yes—
1381C23C2×#1062190212yes—
1382C23C24×D4311yescharacteristic
1383Q8—44no—
1384D4—868no—
1385D4—868no—
1386D4—1724no—
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—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—432no—
1423C2×C4—432no—
1424C2×C4—432no—
1425C2×C4—432no—
1426C2×C4—432no—
1427C2×C4—432no—
1428C2×C4—432no—
1429C2×C4—432no—
1430C2×C4—432no—
1431C2×C4—432no—
1432C2×C4—868no—
1433C2×C4—868no—
1434C2×C4—868no—
1435C2×C4—868no—
1436C2×C4—861no—
1437C2×C4—861no—
1438C2×C4—861no—
1439C2×C4—861no—
1440C2×C4—861no—
1441C2×C4—861no—
1442C2×C4—861no—
1443C2×C4—861no—
1444C2×C4—861no—
1445C2×C4—861no—
1446C2×C4—861no—
1447C2×C4—861no—
1448C2×C4—861no—
1449C2×C4—861no—
1450C2×C4—861no—
1451C2×C4—861no—
1452C2×C4—861no—
1453C2×C4—861no—
1454C2×C4—861no—
1455C2×C4—861no—
1456C2×C4—861no—
1457C2×C4—861no—
1458C2×C4—861no—
1459C2×C4—861no—
1460C2×C4—861no—
1461C2×C4—861no—
1462C2×C4—861no—
1463C2×C4—861no—
1464C2×C4—861no—
1465C2×C4—1724no—
1466C2×C4—1724no—
1467C2×C4—1724no—
1468C2×C4—1724no—
1469C2×C4—1724no—
1470C2×C4—1724no—
1471C2×C4—1724no—
1472C2×C4—1724no—
1473C2×C4—1724no—
1474C2×C4—1724no—
1475C2×C4C22×C4×D4312yes—
1476C2×C4C22×C4×D4312yes—
1477C2×C4C22×C4×D4312yes—
1478C2×C4C22×C4×D4312yes—
1479C2×C4C22×C4×D4312yes—
1480C2×C4C22×C4×D4312yes—
1481C2×C4#41×D4312yes—
1482C2×C4#41×D4312yes—
1483C2×C4C2×#1062190212yes—
1484C2×C4C2×#1062190212yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—434no—
1492C22—862no—
1493C22—862no—
1494C22—862no—
1495C22—862no—
1496C22—862no—
1497C22—862no—
1498C22—862no—
1499C22—862no—
1500C22—862no—
1501C22—862no—
1502C22—862no—
1503C22—862no—
1504C22—17216no—
1505C22—1721no—
1506C22—1721no—
1507C22—1721no—
1508C22—1721no—
1509C22—1721no—
1510C22—1721no—
1511C22—1721no—
1512C22—1721no—
1513C22C4×#1062190214yes—
1514C22C23×C4×D4311yescharacteristic
1515C22C2×#41×D4311yescharacteristic
1516C22C2×#41×D4311yescharacteristic
1517C22C2×#41×D4311yescharacteristic
1518C22C22×#1062190211yescharacteristic
1519C22H(5,𝔽2)×D4311yescharacteristic
1520C22#1458373411yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—434no—
1536C4—862no—
1537C4—862no—
1538C4—862no—
1539C4—862no—
1540C4—862no—
1541C4—862no—
1542C4—862no—
1543C4—1721no—
1544C4—1721no—
1545C4—1721no—
1546C4—1721no—
1547C4—1721no—
1548C2—24no—
1549C2—864no—
1550C2—1722no—
1551C2—1722no—
1552C2C4×#41×D4311yescharacteristic
1553C2C2×C4×#1062190211yescharacteristic
1554C2#1914779911yescharacteristic
1555C2#551×D4311yescharacteristic
1556C2#1914815011yescharacteristic
1557C2#1914816111yescharacteristic
1558C2#1914820611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutatorC22×C43C24×C4
FittingC43×#2368C2
socle, cosocleC23×C43C25
prime radicalC2×#13063295C22
hypercenter#2368D43
hypocenterC43C4×#551
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2368

Complements

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

NH ≅ G/Ntype
2. #19137724C2semidirect
3. #19137714C2semidirect
4. #19137709C2semidirect
5. #19137706C2semidirect
6. #19137674C2semidirect
7. #19137594C2semidirect
8. #19137589C2semidirect
10. #19137534C2semidirect
11. #19137531C2semidirect
12. #19137454C2semidirect
13. #19137453C2semidirect
14. #19137447C2semidirect
15. #19137442C2semidirect
16. #19137145C2semidirect
17. #19137145C2semidirect
18. #19137138C2semidirect
19. #19137133C2semidirect
20. C22⋊Q8×Dic43C2semidirect
21. #19137116C2semidirect
22. #19137116C2semidirect
23. #19137114C2semidirect
25. C4×#13063287C2semidirect
26. C4×(C22⋊D43)⋊C4C2semidirect
27. C4×#13063283C2semidirect
28. C4×#13063281C2semidirect
29. C2×#14582746C2semidirect
30. C4×C22⋊C4×D43C2semidirect
31. C43×#2368C2semidirect
33. #14583576C4semidirect
42. C2×Q8×Dic43C22semidirect
62. C2×C42×D43C22semidirect
63. #14582806C22semidirect
65. #14582798C22semidirect
66. #14582797C22semidirect
72. #14582791C22semidirect
73. #14582791C22semidirect
74. #14582791C22semidirect
78. #14582790C22semidirect
81. #14582789C22semidirect
82. #14582789C22semidirect
83. #14582786C22semidirect
84. #14582786C22semidirect
85. #14582786C22semidirect
86. #14582786C22semidirect
87. #14582785C22semidirect
88. #14582785C22semidirect
89. #14582784C22semidirect
90. #14582784C22semidirect
91. #14582782C22semidirect
92. #14582782C22semidirect
93. #14582780C22semidirect
94. #14582780C22semidirect
106. #14582773C22semidirect
109. #14582766C22semidirect
110. #14582766C22semidirect
111. #14582764C22semidirect
113. #14582761C22semidirect
118. C4⋊C4×Dic43C22semidirect
119. C4⋊C4×Dic43C22semidirect
120. C4⋊C4×Dic43C22semidirect
121. C4⋊C4×Dic43C22semidirect
122. C4⋊C4×Dic43C22semidirect
123. C4⋊C4×Dic43C22semidirect
124. C4×Dic43⋊C4C22semidirect
125. C4×Dic43⋊C4C22semidirect
126. C4×Dic43⋊C4C22semidirect
127. C4×C4⋊Dic43C22semidirect
128. #14582750C22semidirect
129. #14582750C22semidirect
130. #14582750C22semidirect
131. #14582750C22semidirect
141. C4×(C2×D43)⋊C4C22semidirect
142. C4×(C2×D43)⋊C4C22semidirect
158. #14582746C22semidirect
159. #14582746C22semidirect
160. #14582746C22semidirect
161. #14582746C22semidirect
162. #14582746C22semidirect
163. #14582744C22semidirect
164. #14582744C22semidirect
165. #14582744C22semidirect
166. #14582744C22semidirect
170. C42×Dic43C22semidirect
171. C42×Dic43C22semidirect
172. C42×Dic43C22semidirect
174. C43×#391C22semidirect
175. C43×#391C22semidirect
176. C43×#387C22semidirect
177. C43×#387C22semidirect
178. C43×#387C22semidirect
179. C43×#387C22semidirect
182. C4×C4⋊C4×C43C22semidirect
183. C4×C4⋊C4×C43C22semidirect
209. #13063320C2×C4semidirect
210. #13063320C2×C4semidirect
211. #13063314C2×C4semidirect
212. #13063310C2×C4semidirect
213. #13063310C2×C4semidirect
214. #13063309C2×C4semidirect
215. #13063301C2×C4semidirect
221. #13063287C2×C4semidirect
222. C4×C22⋊D43C2×C4semidirect
226. #13063283C2×C4semidirect
228. #13063281C2×C4semidirect
248. C2×(C2×D43)⋊C4C2×C4semidirect
277. C22⋊C4×D43C2×C4semidirect
344. C22⋊Q8×C43C2×C4semidirect
389. C2×Q8×C43C22×C4semidirect
476. C2×C4×D43C22×C4semidirect
482. C4⋊C4×C43C22×C4semidirect
483. C4⋊C4×C43C22×C4semidirect
484. C4⋊C4×C43C22×C4semidirect
521. (C2×D43)⋊C4C22×C4semidirect
522. (C2×D43)⋊C4C22×C4semidirect
523. (C2×D43)⋊C4C22×C4semidirect
531. C4⋊Dic43C22×C4semidirect
532. C4⋊Dic43C22×C4semidirect
537. Dic43⋊C4C22×C4semidirect
538. Dic43⋊C4C22×C4semidirect
539. Dic43⋊C4C22×C4semidirect
564. C4×Dic43C22×C4semidirect
565. C4×Dic43C22×C4semidirect
566. C4×Dic43C22×C4semidirect
768. Dic43#551semidirect
775. #2368D43semidirect
844. #391C2×D43semidirect
845. #391C2×D43semidirect
877. #387C2×D43semidirect
878. #387C2×D43semidirect
879. #387C2×D43semidirect
880. #387C2×D43semidirect
920. C4×C4⋊C4C2×D43semidirect
921. C4×C4⋊C4C2×D43semidirect
967. C43C4×#551semidirect
1000. C22⋊Q8C4×D43semidirect
1169. C2×Q8C2×C4×D43semidirect
1277. C4⋊C4C2×C4×D43semidirect
1278. C4⋊C4C2×C4×D43semidirect
1279. C4⋊C4C2×C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145835762
#191377242
#191377142
#191377092
#191377062
#191376742
#191375942
#191375892
#191375772
#191375342
#191375312
#191374542
#191374532
#191374472
#191374422
#191371452
#191371382
#191371332
C22⋊Q8×Dic432
#191371162
#191371142
#191370962
C4×#130632872
C4×(C22⋊D43)⋊C42
C4×#130632832
C4×#130632812
C2×#145827462
C4×C22⋊C4×D432
C43×#23682
C4×#55143