Finite Group Databasebeta

← C4×#14583541 #25256391

Subgroups — C4×#14583541 #25256391

Order 11008.

3720 conjugacy classes of subgroups.

The subgroup lattice has 1796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583541C211yesmaximal, characteristic
2C2×C4×#10621898C211yesmaximal, characteristic, complemented
3C2×C4×D4×D43C211yesmaximal, characteristic, complemented
4#19137669C211yesmaximal, characteristic, complemented
5#19137643C211yesmaximal, characteristic, complemented
6#19137641C211yesmaximal, characteristic, complemented
7#19137628C211yesmaximal, characteristic, complemented
8#19137603C211yesmaximal, characteristic, complemented
9#19137591C211yesmaximal, characteristic, complemented
10#19137580C211yesmaximal, characteristic, complemented
11#19137573C211yesmaximal, characteristic, complemented
12#19137571C211yesmaximal, characteristic, complemented
13#19137519C211yesmaximal, characteristic, complemented
14#19137501C211yesmaximal, characteristic, complemented
15#19137439C211yesmaximal, characteristic, complemented
16#19137437C211yesmaximal, characteristic, complemented
17#19137419C211yesmaximal, characteristic, complemented
18#19137413C211yesmaximal, characteristic, complemented
19C4×#13063311C211yesmaximal, characteristic, complemented
20C4×#13063303C211yesmaximal, characteristic, complemented
21C4×#13063310C211yesmaximal, characteristic, complemented
22C4×#13063300C211yesmaximal, characteristic, complemented
23C4×#13063298C211yesmaximal, characteristic, complemented
24C4×#13063297C211yesmaximal, characteristic, complemented
25C4×#13063295C211yesmaximal, characteristic, complemented
26C4×#13063295C211yesmaximal, characteristic, complemented
27C4×#13063287C211yesmaximal, characteristic, complemented
28C4×(C22⋊D43)⋊C4C211yesmaximal, characteristic, complemented
29C2×C4×(C2×D43)⋊C4C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
31C4×#123×C43C211yesmaximal, characteristic, complemented
32C22×#10621898C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic
36#14583541C4116yesdirect product factor
37C2×#13063311C2211yescharacteristic
38C2×#13063310C2211yescharacteristic
39C2×#13063303C2211yescharacteristic
40C2×#13063300C2211yescharacteristic
41C2×#13063298C2211yescharacteristic
42C2×#13063297C2211yescharacteristic
43C2×#13063295C2211yescharacteristic
44C2×#13063295C2211yescharacteristic
45C4×#10621898—28no—
46C2×C4×Dic86C2211yescharacteristic, complemented
47C2×C4×Dic86C2211yescharacteristic, complemented
48C2×C4×D172C2211yescharacteristic
49C2×C4×D172C2211yescharacteristic
50C2×C4×D172C2211yescharacteristic, complemented
51C2×C4×D172C2211yescharacteristic, complemented
52C2×C4×D172C2211yescharacteristic, complemented
53C2×D4×Dic43C2211yescharacteristic
54C2×#13063287C2211yescharacteristic
55C2×#13063287C2211yescharacteristic
56C2×#13063287C2211yescharacteristic
57C2×C4×C22⋊D43C2211yescharacteristic
58C2×C4×C22⋊D43C2211yescharacteristic
59C2×C4×C22⋊D43C2211yescharacteristic
60C2×C4×C22⋊D43C2211yescharacteristic, complemented
61C2×C4×C22⋊D43C2211yescharacteristic, complemented
62C2×C4×C22⋊D43C2211yescharacteristic, complemented
63C2×(C22⋊D43)⋊C4C2211yescharacteristic
64C2×(C22⋊D43)⋊C4C2211yescharacteristic
65C2×(C22⋊D43)⋊C4C2211yescharacteristic
66C2×(C22⋊D43)⋊C4C2211yescharacteristic
67C4×D4×D43—28no—
68C2×#13063284C2211yescharacteristic, complemented
69C2×#13063282C2211yescharacteristic, complemented
70C2×#13063282C2211yescharacteristic, complemented
71C2×C4⋊C4×D43C2211yescharacteristic
72C22×(C2×D43)⋊C4C2211yescharacteristic
73C22×(C2×D43)⋊C4C2211yescharacteristic
74C2×C22⋊C4×D43C2211yescharacteristic
75C2×C22⋊C4×D43C2211yescharacteristic
76C2×C22⋊C4×D43C2211yescharacteristic
77C2×C22⋊C4×D43C2211yescharacteristic
78C22×C4×Dic43C2211yescharacteristic, complemented
79C2×C42×D43C2211yescharacteristic
80C2×C42×D43C2211yescharacteristic, complemented
81C2×C42×D43C2211yescharacteristic, complemented
82C2×C42×D43C2211yescharacteristic, complemented
83#14582803C2211yescharacteristic, complemented
84#14582803C2211yescharacteristic, complemented
85#14582800C2211yescharacteristic, complemented
86#14582799C2211yescharacteristic
87#14582799C2211yescharacteristic
88#14582799C2211yescharacteristic, complemented
89#14582798C2211yescharacteristic, complemented
90#14582796C2211yescharacteristic, complemented
91#14582794C2211yescharacteristic, complemented
92#14582794C2211yescharacteristic, complemented
93#14582793C2211yescharacteristic, complemented
94#14582792C2211yescharacteristic, complemented
95#14582792C2211yescharacteristic, complemented
96#14582791C2211yescharacteristic, complemented
97#14582791C2211yescharacteristic, complemented
98#14582791C2211yescharacteristic, complemented
99#14582789C2211yescharacteristic, complemented
100#14582789C2211yescharacteristic, complemented
101#14582788C2211yescharacteristic, complemented
102#14582788C2211yescharacteristic, complemented
103#14582788C2211yescharacteristic, complemented
104#14582787C2211yescharacteristic, complemented
105#14582786C2211yescharacteristic, complemented
106#14582785C2211yescharacteristic, complemented
107#14582785C2211yescharacteristic, complemented
108#14582781C2211yescharacteristic, complemented
109#14582779C2211yescharacteristic
110#14582777C2211yescharacteristic
111#14582777C2211yescharacteristic
112#14582777C2211yescharacteristic
113#14582777C2211yescharacteristic
114#14582777C2211yescharacteristic, complemented
115#14582777C2211yescharacteristic, complemented
116#14582777C2211yescharacteristic, complemented
117#14582777C2211yescharacteristic, complemented
118#14582776C2211yescharacteristic, complemented
119#14582776C2211yescharacteristic, complemented
120#14582776C2211yescharacteristic, complemented
121#14582775C2211yescharacteristic, complemented
122#14582774C2211yescharacteristic, complemented
123#14582774C2211yescharacteristic, complemented
124#14582773C2211yescharacteristic
125#14582773C2211yescharacteristic
126#14582773C2211yescharacteristic
127#14582773C2211yescharacteristic, complemented
128#14582773C2211yescharacteristic, complemented
129#14582770C2211yescharacteristic
130#14582770C2211yescharacteristic, complemented
131#14582763C2211yescharacteristic, complemented
132#14582761C2211yescharacteristic, complemented
133#14582758C2211yescharacteristic
134#14582758C2211yescharacteristic, complemented
135#14582757C2211yescharacteristic, complemented
136#14582756C2211yescharacteristic, complemented
137#14582754C2211yescharacteristic
138#14582754C2211yescharacteristic
139C4⋊C4×Dic43C2211yescharacteristic, complemented
140C4⋊C4×Dic43C2211yescharacteristic, complemented
141C4×Dic43⋊C4C2211yescharacteristic, complemented
142C4×Dic43⋊C4C2211yescharacteristic, complemented
143#14582750C2211yescharacteristic, complemented
144#14582750C2211yescharacteristic, complemented
145C22⋊C4×Dic43C2211yescharacteristic, complemented
146C22⋊C4×Dic43C2211yescharacteristic, complemented
147C22⋊C4×Dic43C2211yescharacteristic, complemented
148C22⋊C4×Dic43C2211yescharacteristic, complemented
149C4×(C2×D43)⋊C4C2211yescharacteristic
150C4×(C2×D43)⋊C4C2211yescharacteristic
151C4×(C2×D43)⋊C4C2211yescharacteristic
152C4×(C2×D43)⋊C4C2211yescharacteristic
153C4×(C2×D43)⋊C4C2211yescharacteristic
154C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
155C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
161C4×C22⋊Dic43C2211yescharacteristic, complemented
162#14582746C2211yescharacteristic
163#14582746C2211yescharacteristic
164#14582746C2211yescharacteristic
165#14582746C2211yescharacteristic
166#14582746C2211yescharacteristic, complemented
167#14582746C2211yescharacteristic, complemented
168#14582746C2211yescharacteristic, complemented
169#14582746C2211yescharacteristic, complemented
170C2×C43⋊#95C2211yescharacteristic, complemented
171C2×C43⋊#95C2211yescharacteristic, complemented
172#95×D43C2211yescharacteristic, complemented
173#95×D43C2211yescharacteristic, complemented
174C42×Dic43C2211yescharacteristic, complemented
175C2×#123×C43C2211yescharacteristic
176C2×C4×D4×C43C2211yescharacteristic
177C22×C42×C43C2211yescharacteristic, complemented
178C43×#388C2211yescharacteristic, complemented
179C43×#388C2211yescharacteristic, complemented
180C43×#387C2211yescharacteristic, complemented
181C43×#387C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic
183C43×#385C2211yescharacteristic, complemented
184C43×#381C2211yescharacteristic, complemented
185C4×C4⋊C4×C43C2211yescharacteristic, complemented
186C4×C4⋊C4×C43C2211yescharacteristic, complemented
187C4×C22⋊C4×C43C2211yescharacteristic, complemented
188C4×C22⋊C4×C43C2211yescharacteristic, complemented
189C4×C22⋊C4×C43C2211yescharacteristic, complemented
190C24×D43C2311yescharacteristic
191C24×D43C2311yescharacteristic
192C2×#10621898—24no—
193C2×#10621898—24no—
194C2×#10621898C2×C418yescomplemented
195C22×Dic86C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C2×D4×D43—24no—
205C2×D4×D43—24no—
206C2×D4×D43C2×C418yescomplemented
207C23×Dic43C2311yescharacteristic
208C23×Dic43C2311yescharacteristic
209C23×Dic43C2311yescharacteristic
210C23×Dic43C2311yescharacteristic
211C22×C4×D43—24no—
212C22×C4×D43—24no—
213C22×C4×D43—24no—
214C22×C4×D43—24no—
215C22×C4×D43—42no—
216C22×C4×D43—42no—
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231C22×C4×D43C2311yescharacteristic
232C22×C4×D43C2311yescharacteristic
233#13063311C2×C418yescomplemented
234#13063310C2×C418yescomplemented
235#13063303C2×C418yescomplemented
236#13063300C2×C418yescomplemented
237#13063298C2×C418yescomplemented
238#13063297C2×C418yescomplemented
239#13063295C2×C418yescomplemented
240#13063295C2×C418yescomplemented
241C4×Dic86—24no—
242C4×Dic86—24no—
243C4×D172—24no—
244C4×D172—24no—
245C4×D172—24no—
246C4×D172—24no—
247C4×D172—42no—
248D4×Dic43—24no—
249#13063287—24no—
250#13063287—24no—
251#13063287C2×C418yescomplemented
252C4×C22⋊D43—24no—
253C4×C22⋊D43—24no—
254C4×C22⋊D43—24no—
255C4×C22⋊D43—24no—
256C4×C22⋊D43—42no—
257C4×C22⋊D43D418yescomplemented
258(C22⋊D43)⋊C4—24no—
259(C22⋊D43)⋊C4—24no—
260(C22⋊D43)⋊C4—24no—
261(C22⋊D43)⋊C4C2×C418yescomplemented
262#13063284—24no—
263#13063282—24no—
264#13063282—24no—
265C2×C4⋊Dic43C2311yescharacteristic
266C2×C4⋊Dic43C2311yescharacteristic
267C2×C4⋊Dic43C2311yescharacteristic
268C2×C4⋊Dic43C2311yescharacteristic
269C2×C4⋊Dic43C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C2×Dic43⋊C4C2311yescharacteristic
278C2×Dic43⋊C4C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C4⋊C4×D43—24no—
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×(C2×D43)⋊C4—24no—
288C2×(C2×D43)⋊C4C2×C418yescomplemented
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
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C22⋊C4×D43—24no—
318C22⋊C4×D43—24no—
319C22⋊C4×D43—24no—
320C22⋊C4×D43C2×C418yescomplemented
321C2×C4×Dic43—42no—
322C2×C4×Dic43C2311yescharacteristic
323C2×C4×Dic43C2311yescharacteristic
324C2×C4×Dic43C2311yescharacteristic
325C2×C4×Dic43C2311yescharacteristic
326C2×C4×Dic43C2311yescharacteristic
327C2×C4×Dic43C2311yescharacteristic
328C2×C4×Dic43C2311yescharacteristic
329C2×C4×Dic43C2311yescharacteristic
330C2×C4×Dic43C2311yescharacteristic
331C2×C4×Dic43C2311yescharacteristic
332C2×C4×Dic43C2311yescharacteristic
333C2×C4×Dic43C2311yescharacteristic
334C2×C4×Dic43C2311yescharacteristic
335C2×C4×Dic43C2311yescharacteristic
336C2×C4×Dic43C2311yescharacteristic
337C2×C4×Dic43C2311yescharacteristic
338C2×C4×Dic43C2311yescharacteristic
339C2×C4×Dic43C2311yescharacteristic
340C42×D43—24no—
341C42×D43—24no—
342C42×D43—24no—
343C42×D43—42no—
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C43⋊#95C2311yescharacteristic
355C43⋊#95C2311yescharacteristic
356C43⋊#95C2311yescharacteristic
357C43⋊#95C2311yescharacteristic
358C43⋊#95C2311yescharacteristic
359C43⋊#95C2311yescharacteristic
360C43⋊#95C2311yescharacteristic
361C43⋊#95C2311yescharacteristic
362C43⋊#95C2311yescharacteristic
363C43⋊#95C2311yescharacteristic
364C43⋊#95C2311yescharacteristic
365C43⋊#95C2311yescharacteristic
366C22×D4×C43C2311yescharacteristic
367C23×C4×C43C2311yescharacteristic
368C23×C4×C43C2311yescharacteristic
369C23×C4×C43C2311yescharacteristic
370C23×C4×C43C2311yescharacteristic
371#123×C43C2×C418yescomplemented
372C4×D4×C43—24no—
373C2×C4⋊C4×C43C2311yescharacteristic
374C2×C4⋊C4×C43C2311yescharacteristic
375C2×C4⋊C4×C43C2311yescharacteristic
376C2×C4⋊C4×C43C2311yescharacteristic
377C2×C4⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C22⋊C4×C43C2311yescharacteristic
385C2×C22⋊C4×C43C2311yescharacteristic
386C2×C42×C43—24no—
387C2×C42×C43C2311yescharacteristic
388C2×C42×C43C2311yescharacteristic
389C2×C42×C43C2311yescharacteristic
390C2×C42×C43C2311yescharacteristic
391C2×C42×C43C2311yescharacteristic
392C2×C42×C43C2311yescharacteristic
393C2×C42×C43C2311yescharacteristic
394#95×C43C2311yescharacteristic
395#95×C43C2311yescharacteristic
396#95×C43C2311yescharacteristic
397#95×C43C2311yescharacteristic
398#95×C43C2311yescharacteristic
399#95×C43C2311yescharacteristic
400#95×C43C2311yescharacteristic
401#95×C43C2311yescharacteristic
402#95×C43C2311yescharacteristic
403#95×C43C2311yescharacteristic
404C24×C43C2411yescharacteristic
405C24×C43C2411yescharacteristic
406C23×D43—22no—
407C23×D43—22no—
408C23×D43—22no—
409C23×D43—22no—
410C23×D43—22no—
411C23×D43—22no—
412C23×D43—22no—
413C23×D43—22no—
414C23×D43—41no—
415C23×D43—41no—
416C23×D43—41no—
417C23×D43—41no—
418C23×D43C22×C414yes—
419C23×D43C22×C414yes—
420C23×D43C2411yescharacteristic
421C23×D43C2411yescharacteristic
422C23×D43C2411yescharacteristic
423C23×D43C2411yescharacteristic
424C2×D4×C43—22no—
425C2×D4×C43—22no—
426C2×D4×C43C22×C414yes—
427C22×C4×C43—22no—
428C22×C4×C43—22no—
429C22×C4×C43—22no—
430C22×C4×C43—22no—
431C22×C4×C43—22no—
432C22×C4×C43—22no—
433C22×C4×C43—22no—
434C22×C4×C43—22no—
435C22×C4×C43—22no—
436C22×C4×C43—41no—
437C22×C4×C43C22×C414yescomplemented
438C22×C4×C43C2×D414yes—
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C2×C22⋊D43—22no—
453C2×C22⋊D43—22no—
454C2×C22⋊D43—22no—
455C2×C22⋊D43—22no—
456C2×C22⋊D43—41no—
457C2×C22⋊D43—41no—
458C2×C22⋊D43C22×C414yes—
459C2×C22⋊D43C22×C414yes—
460C2×C22⋊D43C22×C414yescomplemented
461C2×C22⋊D43C22×C414yescomplemented
462C2×C22⋊D43C2×D414yes—
463C2×C22⋊D43#4114yes—
464C22×Dic43—22no—
465C22×Dic43—22no—
466C22×Dic43—22no—
467C22×Dic43—22no—
468C22×Dic43—22no—
469C22×Dic43—22no—
470C22×Dic43—41no—
471C22×Dic43—41no—
472C22×Dic43—41no—
473C22×Dic43—41no—
474C22×Dic43—41no—
475C22×Dic43C22×C414yescomplemented
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481C22×Dic43C2411yescharacteristic
482C22×Dic43C2411yescharacteristic
483C22×Dic43C2411yescharacteristic
484C22×Dic43C2411yescharacteristic
485C22×Dic43C2411yescharacteristic
486C22×Dic43C2411yescharacteristic
487C22×Dic43C2411yescharacteristic
488D4×D43—232no—
489#10621898—232no—
490C2×D172—22no—
491C2×D172—22no—
492C2×D172—22no—
493C2×D172—22no—
494C2×D172—22no—
495C2×D172—22no—
496C2×D172—41no—
497C2×D172—41no—
498C2×D172C22×C414yes—
499C2×D172C22×C414yes—
500C2×D172C22×C414yescomplemented
501C2×D172C22×C414yescomplemented
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—22no—
509C2×C4×D43—22no—
510C2×C4×D43—22no—
511C2×C4×D43—22no—
512C2×C4×D43—22no—
513C2×C4×D43—22no—
514C2×C4×D43—22no—
515C2×C4×D43—22no—
516C2×C4×D43—22no—
517C2×C4×D43—22no—
518C2×C4×D43—22no—
519C2×C4×D43—22no—
520C2×C4×D43—22no—
521C2×C4×D43—22no—
522C2×C4×D43—22no—
523C2×C4×D43—22no—
524C2×C4×D43—22no—
525C2×C4×D43—22no—
526C2×C4×D43—22no—
527C2×C4×D43—22no—
528C2×C4×D43—22no—
529C2×C4×D43—22no—
530C2×C4×D43—22no—
531C2×C4×D43—22no—
532C2×C4×D43—22no—
533C2×C4×D43—22no—
534C2×C4×D43—41no—
535C2×C4×D43—41no—
536C2×C4×D43—41no—
537C2×C4×D43—41no—
538C2×C4×D43—41no—
539C2×C4×D43—41no—
540C2×C4×D43—41no—
541C2×C4×D43—41no—
542C2×C4×D43—41no—
543C2×C4×D43—41no—
544C2×C4×D43—416no—
545C2×C4×D43—416no—
546C2×C4×D43C22×C414yes—
547C2×C4×D43C22×C414yescomplemented
548C2×C4×D43C22×C414yescomplemented
549C2×C4×D43C22×C414yescomplemented
550C2×C4×D43C2×D414yes—
551C2×C4×D43#4114yescomplemented
552C2×Dic86—22no—
553C2×Dic86—22no—
554C2×Dic86C22×C414yescomplemented
555C4⋊C4×C43—22no—
556C4⋊C4×C43—22no—
557C4⋊C4×C43—41no—
558C4⋊C4×C43C22×C414yescomplemented
559C4⋊C4×C43C22×C414yescomplemented
560C22⋊C4×C43—22no—
561C22⋊C4×C43—22no—
562C22⋊C4×C43—22no—
563C22⋊C4×C43—22no—
564C22⋊C4×C43—41no—
565C22⋊C4×C43C22×C414yescomplemented
566C22⋊C4×C43C22×C414yescomplemented
567C22⋊C4×C43C22×C414yescomplemented
568C42×C43—22no—
569C42×C43—22no—
570C42×C43—22no—
571C42×C43—22no—
572C42×C43—22no—
573C42×C43—22no—
574C42×C43—22no—
575C22⋊Dic43—22no—
576C22⋊Dic43—22no—
577C22⋊Dic43—22no—
578C22⋊Dic43—41no—
579C22⋊Dic43C22×C414yescomplemented
580C22⋊Dic43C2×D414yes—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—22no—
587(C2×D43)⋊C4—22no—
588(C2×D43)⋊C4—22no—
589(C2×D43)⋊C4—22no—
590(C2×D43)⋊C4—22no—
591(C2×D43)⋊C4—22no—
592(C2×D43)⋊C4—22no—
593(C2×D43)⋊C4—22no—
594(C2×D43)⋊C4—22no—
595(C2×D43)⋊C4—41no—
596(C2×D43)⋊C4—41no—
597(C2×D43)⋊C4—41no—
598(C2×D43)⋊C4—41no—
599(C2×D43)⋊C4C22×C414yes—
600(C2×D43)⋊C4C22×C414yes—
601(C2×D43)⋊C4C22×C414yes—
602(C2×D43)⋊C4C22×C414yescomplemented
603(C2×D43)⋊C4C22×C414yescomplemented
604(C2×D43)⋊C4C22×C414yescomplemented
605(C2×D43)⋊C4C22×C414yescomplemented
606(C2×D43)⋊C4C22×C414yescomplemented
607(C2×D43)⋊C4C2×D414yes—
608(C2×D43)⋊C4#4114yescomplemented
609C4⋊Dic43—22no—
610C4⋊Dic43—22no—
611C4⋊Dic43—22no—
612C4⋊Dic43—22no—
613C4⋊Dic43—41no—
614Dic43⋊C4—22no—
615Dic43⋊C4—22no—
616Dic43⋊C4—22no—
617Dic43⋊C4—22no—
618Dic43⋊C4—22no—
619Dic43⋊C4—41no—
620Dic43⋊C4—41no—
621Dic43⋊C4C22×C414yescomplemented
622Dic43⋊C4C22×C414yescomplemented
623Dic43⋊C4C2×D414yes—
624C4×Dic43—22no—
625C4×Dic43—22no—
626C4×Dic43—22no—
627C4×Dic43—22no—
628C4×Dic43—22no—
629C4×Dic43—22no—
630C4×Dic43—22no—
631C4×Dic43—22no—
632C4×Dic43—22no—
633C4×Dic43—22no—
634C4×Dic43—22no—
635C4×Dic43—41no—
636C4×Dic43—41no—
637C4×Dic43—41no—
638C4×Dic43—41no—
639C4×Dic43—41no—
640C4×Dic43C22×C414yescomplemented
641C4×Dic43C2×D414yes—
642C23×C43—21no—
643C23×C43—21no—
644C23×C43—21no—
645C23×C43—21no—
646C23×C43—21no—
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43C23×C412yes—
653C23×C43C23×C412yes—
654C23×C43C22×D412yes—
655C23×C43C2×#4112yes—
656C23×C43C2511yescharacteristic
657C22×D43—21no—
658C22×D43—21no—
659C22×D43—21no—
660C22×D43—21no—
661C22×D43—21no—
662C22×D43—21no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—28no—
666C22×D43—21no—
667C22×D43—21no—
668C22×D43—21no—
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—21no—
674C22×D43—21no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—28no—
679C22×D43—28no—
680C22×D43—28no—
681C22×D43—44no—
682C22×D43—44no—
683C22×D43—44no—
684C22×D43—44no—
685C22×D43—44no—
686C22×D43—44no—
687C22×D43—44no—
688C22×D43—44no—
689C22×D43—44no—
690C22×D43—44no—
691C22×D43C23×C412yes—
692C22×D43C23×C412yes—
693C22×D43C23×C412yes—
694C22×D43C23×C412yes—
695C22×D43C22×D412yes—
696C22×D43C2×#4112yes—
697C22×D43C2×#4112yes—
698C22×D43C2×#4112yes—
699D4×C43—28no—
700C2×C4×C43—28no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—28no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—44no—
732C2×C4×C43—44no—
733C2×C4×C43C23×C412yes—
734C2×C4×C43C23×C412yes—
735C2×C4×C43C23×C412yes—
736C2×C4×C43C23×C412yes—
737C2×C4×C43C23×C412yes—
738C2×C4×C43C22×D412yes—
739C2×C4×C43C22×D412yes—
740C2×C4×C43C2×#4112yes—
741C2×C4×C43C2×#4112yes—
742C2×C4×C43H(5,𝔽2)12yes—
743C22⋊D43—28no—
744C22⋊D43—28no—
745C22⋊D43—44no—
746C22⋊D43C4×D4116yescomplemented
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—44no—
774C2×Dic43—44no—
775C2×Dic43—44no—
776C2×Dic43—44no—
777C2×Dic43C23×C412yes—
778C2×Dic43C23×C412yes—
779C2×Dic43C23×C412yes—
780C2×Dic43C23×C412yes—
781C2×Dic43C22×D412yes—
782C2×Dic43C22×D412yes—
783C2×Dic43C22×D412yes—
784C2×Dic43C2×#4112yes—
785C2×Dic43C2×#4112yes—
786C2×Dic43C2×#4112yes—
787D172—28no—
788D172—28no—
789D172—28no—
790D172—44no—
791C4×D43—28no—
792C4×D43—28no—
793C4×D43—28no—
794C4×D43—28no—
795C4×D43—28no—
796C4×D43—44no—
797C4×D43—44no—
798C4×D43—44no—
799C4×D43—44no—
800C4×D43—44no—
801C4×D43—44no—
802C4×D43—44no—
803C4×D43—44no—
804C4×D43—44no—
805C4×D43—44no—
806C4×D43—44no—
807Dic86—28no—
808C4×#546—431nomaximal, Sylow
809C22×C43—22no—
810C22×C43—22no—
811C22×C43—22no—
812C22×C43—22no—
813C22×C43—22no—
814C22×C43—22no—
815C22×C43—22no—
816C22×C43—22no—
817C22×C43—22no—
818C22×C43—41no—
819C22×C43—41no—
820C22×C43—41no—
821C22×C43—41no—
822C22×C43C2×C4×D414yes—
823C22×C43C24×C411yescharacteristic
824C22×C43C23×D411yescharacteristic
825C22×C43C22×#4111yescharacteristic
826C22×C43C22×#4111yescharacteristic
827C22×C43C22×#4111yescharacteristic
828C22×C43C2×H(5,𝔽2)11yescharacteristic
829C22×C43#58511yescharacteristic
830C2×D43—22no—
831C2×D43—22no—
832C2×D43—22no—
833C2×D43—22no—
834C2×D43—22no—
835C2×D43—22no—
836C2×D43—22no—
837C2×D43—22no—
838C2×D43—22no—
839C2×D43—22no—
840C2×D43—22no—
841C2×D43—22no—
842C2×D43—22no—
843C2×D43—22no—
844C2×D43—22no—
845C2×D43—22no—
846C2×D43—22no—
847C2×D43—22no—
848C2×D43—416no—
849C2×D43—416no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43C2×C4×D414yes—
859C2×D43C4×#4114yescomplemented
860C4×C43—22no—
861C4×C43—22no—
862C4×C43—22no—
863C4×C43—22no—
864C4×C43—22no—
865C4×C43—22no—
866C4×C43—22no—
867C4×C43—41no—
868C4×C43—41no—
869C4×C43—41no—
870C4×C43—41no—
871C4×C43—41no—
872C4×C43#54614yescomplemented
873Dic43—22no—
874Dic43—22no—
875Dic43—22no—
876Dic43—22no—
877Dic43—22no—
878Dic43—22no—
879Dic43—22no—
880Dic43—41no—
881Dic43—41no—
882Dic43—41no—
883Dic43—41no—
884Dic43C2×C4×D414yes—
885C2×#546—431no—
886C2×C4×#41—431no—
887C22×C4×D4—431no—
888#2367—431no—
889#2364—431no—
890#2364—431no—
891#2363—431no—
892#2360—431no—
893#2359—431no—
894#2359—431no—
895#2358—431no—
896#2358—431no—
897#2352—431no—
898#2349—431no—
899#2342—431no—
900#2342—431no—
901#2339—431no—
902D4×C22⋊C4—431no—
903C4×#124—431no—
904C4×C22⋊Q8—431no—
905C4×#123—431no—
906C4×#123D4311yescharacteristic, complemented
907C4×#121—431no—
908C4×#121—431no—
909C4×#121—431no—
910C4×#120—431no—
911C4×#120—431no—
912C42×D4—431no—
913C42×D4—431no—
914C2×C4×C22⋊C4—431no—
915C2×C4×C22⋊C4—431no—
916C2×C43—24no—
917C2×C43—42no—
918C2×C43C22×C4×D411yescharacteristic
919C2×C43C2×C4×#4111yescharacteristic
920C2×C43C4×H(5,𝔽2)11yescharacteristic
921C2×C43C2×#54611yescharacteristic
922C2×C43D4×#4111yescharacteristic
923C2×C43#347511yescharacteristic
924C2×C43#348111yescharacteristic
925D43—24no—
926D43—24no—
927D43—42no—
928D43—42no—
929C22×#41—431no—
930C23×D4—431no—
931C24×C4—431no—
932C24×C4—431no—
933#546—4316no—
934C2×#124—431no—
935C2×#123—431no—
936C2×#123C2×D4311yescharacteristic
937C2×C22⋊Q8—431no—
938C2×#121—431no—
939C2×#121—431no—
940C2×#121—431no—
941C2×#120—431no—
942C2×#120—431no—
943C4×#41—868no—
944C2×C4×Q8—431no—
945C2×C4×Q8—431no—
946C2×C4×D4—431no—
947C2×C4×D4—431no—
948C2×C4×D4—431no—
949C2×C4×D4—431no—
950C2×C4×D4—431no—
951C2×C4×D4—431no—
952C2×C4×D4—431no—
953C2×C4×D4—431no—
954C2×C4×D4—431no—
955C2×C4×D4—431no—
956C2×C4×D4—431no—
957C2×C4×D4—431no—
958C2×C4×D4—431no—
959C2×C4×D4—431no—
960C2×C4×D4—431no—
961C2×C4×D4—431no—
962C2×C4×D4—431no—
963C2×C4×D4—431no—
964C2×C4×D4—431no—
965C2×C4×D4—868no—
966C2×C4×D4C2×D4311yescharacteristic
967C2×#117—431no—
968C2×#117—431no—
969C2×#117—431no—
970C22×C4⋊C4—431no—
971C22×C22⋊C4—431no—
972C22×C22⋊C4—431no—
973C22×C22⋊C4—431no—
974C22×C22⋊C4—431no—
975C22×C22⋊C4—431no—
976C22×C22⋊C4—431no—
977C22×C42—431no—
978C22×C42—431no—
979C22×C42—431no—
980C22×C42—431no—
981C22×C42—431no—
982C22×C42C2×D4311yescharacteristic, complemented
983#391—431no—
984#391—431no—
985#390—431no—
986#390—431no—
987#390—431no—
988#390—431no—
989#389—431no—
990#389—431no—
991#389—431no—
992#389—431no—
993#388—431no—
994#388—431no—
995#388—431no—
996#388—431no—
997#388—431no—
998#388—431no—
999#388—431no—
1000#388—431no—
1001#388—431no—
1002#388—431no—
1003#388—431no—
1004#388—431no—
1005#388C2×D4311yescharacteristic, complemented
1006#388C2×D4311yescharacteristic, complemented
1007#387—431no—
1008#387—431no—
1009#387—431no—
1010#387—431no—
1011#387C2×D4311yescharacteristic, complemented
1012#387C2×D4311yescharacteristic, complemented
1013#386—431no—
1014#386—431no—
1015#386—431no—
1016#386—431no—
1017#386—431no—
1018#386—431no—
1019#386—431no—
1020#386—431no—
1021#386—431no—
1022#386—431no—
1023#386—431no—
1024#386—431no—
1025#386—431no—
1026#386C2×D4311yescharacteristic
1027#385—431no—
1028#385—431no—
1029#385—431no—
1030#385—431no—
1031#385—431no—
1032#385—431no—
1033#385—431no—
1034#385—431no—
1035#385—431no—
1036#385C2×D4311yescharacteristic, complemented
1037#382—431no—
1038#381—431no—
1039#381C2×D4311yescharacteristic, complemented
1040#380—431no—
1041#380—431no—
1042#380—431no—
1043#380—431no—
1044#379—431no—
1045#379—431no—
1046C4×C4⋊C4—431no—
1047C4×C4⋊C4—431no—
1048C4×C4⋊C4—431no—
1049C4×C4⋊C4—431no—
1050C4×C4⋊C4—431no—
1051C4×C4⋊C4—431no—
1052C4×C4⋊C4C2×D4311yescharacteristic, complemented
1053C4×C4⋊C4C2×D4311yescharacteristic, complemented
1054C4×C22⋊C4—431no—
1055C4×C22⋊C4—431no—
1056C4×C22⋊C4—431no—
1057C4×C22⋊C4—431no—
1058C4×C22⋊C4—431no—
1059C4×C22⋊C4—431no—
1060C4×C22⋊C4—431no—
1061C4×C22⋊C4—431no—
1062C4×C22⋊C4—431no—
1063C4×C22⋊C4—431no—
1064C4×C22⋊C4—431no—
1065C4×C22⋊C4—431no—
1066C4×C22⋊C4—431no—
1067C4×C22⋊C4—431no—
1068C4×C22⋊C4—431no—
1069C4×C22⋊C4—431no—
1070C4×C22⋊C4—431no—
1071C4×C22⋊C4—431no—
1072C4×C22⋊C4—431no—
1073C4×C22⋊C4—431no—
1074C4×C22⋊C4—431no—
1075C4×C22⋊C4—431no—
1076C4×C22⋊C4—431no—
1077C4×C22⋊C4—431no—
1078C4×C22⋊C4—431no—
1079C4×C22⋊C4C2×D4311yescharacteristic, complemented
1080C4×C22⋊C4C2×D4311yescharacteristic, complemented
1081C4×C22⋊C4C2×D4311yescharacteristic, complemented
1082C2×#95—431no—
1083C2×#95—431no—
1084C2×#95—431no—
1085C2×#95—431no—
1086C43—431no—
1087C43C4×#54611yescharacteristic, complemented, Sylow
1088C25—431no—
1089C25—431no—
1090C2×#41—438no—
1091C2×#41—864no—
1092C2×#41—864no—
1093C22×Q8—431no—
1094C22×D4—431no—
1095C22×D4—431no—
1096C22×D4—431no—
1097C22×D4—431no—
1098C22×D4—438no—
1099C22×D4—431no—
1100C22×D4—431no—
1101C22×D4—431no—
1102C22×D4—431no—
1103C22×D4—864no—
1104C22×D4—864no—
1105C22×D4C22×D4311yescharacteristic
1106C23×C4—431no—
1107C23×C4—431no—
1108C23×C4—431no—
1109C23×C4—431no—
1110C23×C4—431no—
1111C23×C4—431no—
1112C23×C4—431no—
1113C23×C4—431no—
1114C23×C4—431no—
1115C23×C4—431no—
1116C23×C4—431no—
1117C23×C4—431no—
1118C23×C4—431no—
1119C23×C4—431no—
1120C23×C4—431no—
1121C23×C4—431no—
1122C23×C4—431no—
1123C23×C4—431no—
1124C23×C4—431no—
1125C23×C4—431no—
1126C23×C4—864no—
1127C23×C4—864no—
1128C23×C4—864no—
1129C23×C4—864no—
1130C23×C4—1722no—
1131C23×C4—1722no—
1132C23×C4C22×D4311yescharacteristic
1133C23×C4C22×D4311yescharacteristic
1134C23×C4C22×D4311yescharacteristic
1135C23×C4C22×D4311yescharacteristic
1136#124—438no—
1137#123—438no—
1138#123C4×D4318yescomplemented
1139C22⋊Q8—438no—
1140#121—438no—
1141#121—438no—
1142#121—438no—
1143#120—438no—
1144#120—438no—
1145C4×Q8—864no—
1146C4×Q8—864no—
1147C4×D4—24no—
1148C4×D4—438no—
1149C4×D4—438no—
1150C4×D4—438no—
1151C4×D4—864no—
1152C4×D4—864no—
1153C4×D4—864no—
1154C4×D4—864no—
1155C4×D4—864no—
1156C4×D4—864no—
1157C4×D4—864no—
1158C4×D4—864no—
1159C4×D4—864no—
1160C4×D4—864no—
1161C4×D4—864no—
1162C4×D4—864no—
1163C4×D4—864no—
1164C4×D4—864no—
1165C4×D4—1722no—
1166C4×D4—1722no—
1167#117—864no—
1168#117—864no—
1169#117—864no—
1170C2×C4⋊C4—431no—
1171C2×C4⋊C4—431no—
1172C2×C4⋊C4—431no—
1173C2×C4⋊C4—431no—
1174C2×C4⋊C4—431no—
1175C2×C4⋊C4—431no—
1176C2×C4⋊C4—431no—
1177C2×C4⋊C4—431no—
1178C2×C4⋊C4—431no—
1179C2×C4⋊C4—431no—
1180C2×C4⋊C4—431no—
1181C2×C4⋊C4—431no—
1182C2×C4⋊C4—431no—
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—864no—
1186C2×C4⋊C4C22×D4311yescharacteristic
1187C2×C4⋊C4C22×D4311yescharacteristic
1188C2×C4⋊C4C22×D4311yescharacteristic
1189C2×C4⋊C4C22×D4311yescharacteristic
1190C2×C4⋊C4C22×D4311yescharacteristic
1191C2×C22⋊C4—431no—
1192C2×C22⋊C4—431no—
1193C2×C22⋊C4—438no—
1194C2×C22⋊C4—431no—
1195C2×C22⋊C4—431no—
1196C2×C22⋊C4—431no—
1197C2×C22⋊C4—431no—
1198C2×C22⋊C4—431no—
1199C2×C22⋊C4—431no—
1200C2×C22⋊C4—431no—
1201C2×C22⋊C4—431no—
1202C2×C22⋊C4—431no—
1203C2×C22⋊C4—431no—
1204C2×C22⋊C4—438no—
1205C2×C22⋊C4—431no—
1206C2×C22⋊C4—431no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—864no—
1228C2×C22⋊C4—864no—
1229C2×C22⋊C4—864no—
1230C2×C22⋊C4—864no—
1231C2×C22⋊C4C22×D4311yescharacteristic
1232C2×C22⋊C4C22×D4311yescharacteristic
1233C2×C22⋊C4C22×D4311yescharacteristic
1234C2×C22⋊C4C22×D4311yescharacteristic
1235C2×C22⋊C4C22×D4311yescharacteristic
1236C2×C22⋊C4C22×D4311yescharacteristic
1237C2×C22⋊C4C22×D4311yescharacteristic
1238C2×C22⋊C4C22×D4311yescharacteristic
1239C2×C42—24no—
1240C2×C42—431no—
1241C2×C42—431no—
1242C2×C42—431no—
1243C2×C42—431no—
1244C2×C42—431no—
1245C2×C42—431no—
1246C2×C42—431no—
1247C2×C42—431no—
1248C2×C42—431no—
1249C2×C42—431no—
1250C2×C42—431no—
1251C2×C42—431no—
1252C2×C42—431no—
1253C2×C42—431no—
1254C2×C42—431no—
1255C2×C42—431no—
1256C2×C42—431no—
1257C2×C42—431no—
1258C2×C42—864no—
1259C2×C42—864no—
1260C2×C42—864no—
1261C2×C42—1722no—
1262C2×C42—1722no—
1263C2×C42C22×D4311yescharacteristic
1264C2×C42C22×D4311yescharacteristic
1265C2×C42C22×D4311yescharacteristic
1266C2×C42C22×D4311yescharacteristic
1267C2×C42C22×D4311yescharacteristic
1268C2×C42C22×D4311yescharacteristic
1269C2×C42C22×D4311yescharacteristic
1270#95—431no—
1271#95—431no—
1272#95—431no—
1273#95—431no—
1274#95—431no—
1275#95—431no—
1276#95—431no—
1277#95—431no—
1278#95—431no—
1279#95—431no—
1280#95—431no—
1281#95—431no—
1282#95—431no—
1283#95—431no—
1284#95—431no—
1285#95—431no—
1286#95—431no—
1287#95—431no—
1288#95—431no—
1289#95—431no—
1290#95—431no—
1291#95—431no—
1292#95C22×D4311yescharacteristic
1293#95C22×D4311yescharacteristic
1294#95C22×D4311yescharacteristic
1295#95C22×D4311yescharacteristic
1296#95C22×D4311yescharacteristic
1297#95C22×D4311yescharacteristic
1298#95C22×D4311yescharacteristic
1299#95C22×D4311yescharacteristic
1300#95C22×D4311yescharacteristic
1301#95C22×D4311yescharacteristic
1302C24—431no—
1303C24—431no—
1304C24—431no—
1305C24—431no—
1306C24—434no—
1307C24—434no—
1308C24—862no—
1309C24—862no—
1310C24—862no—
1311C24—862no—
1312C24—862no—
1313C24—862no—
1314C24—862no—
1315C24—862no—
1316C24—1721no—
1317C24—1721no—
1318C24—1721no—
1319C24—1721no—
1320C24C23×D4311yescharacteristic
1321C24C23×D4311yescharacteristic
1322#41—8632no—
1323C2×Q8—434no—
1324C2×Q8—862no—
1325C2×Q8—862no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—434no—
1329C2×D4—434no—
1330C2×D4—434no—
1331C2×D4—434no—
1332C2×D4—434no—
1333C2×D4—434no—
1334C2×D4—434no—
1335C2×D4—434no—
1336C2×D4—434no—
1337C2×D4—434no—
1338C2×D4—862no—
1339C2×D4—862no—
1340C2×D4—862no—
1341C2×D4—862no—
1342C2×D4—862no—
1343C2×D4—862no—
1344C2×D4—862no—
1345C2×D4—862no—
1346C2×D4—8632no—
1347C2×D4—862no—
1348C2×D4—862no—
1349C2×D4—1721no—
1350C2×D4—1721no—
1351C2×D4—1721no—
1352C2×D4—1721no—
1353C2×D4C2×C4×D4314yes—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—41no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—431no—
1369C22×C4—431no—
1370C22×C4—431no—
1371C22×C4—431no—
1372C22×C4—434no—
1373C22×C4—434no—
1374C22×C4—434no—
1375C22×C4—434no—
1376C22×C4—434no—
1377C22×C4—434no—
1378C22×C4—434no—
1379C22×C4—431no—
1380C22×C4—431no—
1381C22×C4—431no—
1382C22×C4—431no—
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—862no—
1405C22×C4—862no—
1406C22×C4—862no—
1407C22×C4—862no—
1408C22×C4—862no—
1409C22×C4—862no—
1410C22×C4—862no—
1411C22×C4—862no—
1412C22×C4—862no—
1413C22×C4—862no—
1414C22×C4—862no—
1415C22×C4—862no—
1416C22×C4—862no—
1417C22×C4—862no—
1418C22×C4—862no—
1419C22×C4—862no—
1420C22×C4—862no—
1421C22×C4—1721no—
1422C22×C4—1721no—
1423C22×C4—1721no—
1424C22×C4—1721no—
1425C22×C4—1721no—
1426C22×C4—1721no—
1427C22×C4—1721no—
1428C22×C4—1721no—
1429C22×C4—1721no—
1430C22×C4—1721no—
1431C22×C4—17216no—
1432C22×C4—17216no—
1433C22×C4—1721no—
1434C22×C4—1721no—
1435C22×C4—1721no—
1436C22×C4—1721no—
1437C22×C4—1721no—
1438C22×C4C2×C4×D4314yescomplemented
1439C22×C4D4×D4314yes—
1440C22×C4C23×D4311yescharacteristic
1441C22×C4C23×D4311yescharacteristic
1442C22×C4C23×D4311yescharacteristic
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445C22×C4C23×D4311yescharacteristic
1446C22×C4C23×D4311yescharacteristic
1447C22×C4C23×D4311yescharacteristic
1448C22×C4C23×D4311yescharacteristic
1449C22×C4C23×D4311yescharacteristic
1450C22×C4C23×D4311yescharacteristic
1451C22×C4C23×D4311yescharacteristic
1452C22×C4C23×D4311yescharacteristic
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—41no—
1456C4⋊C4—434no—
1457C4⋊C4—434no—
1458C4⋊C4—434no—
1459C4⋊C4—862no—
1460C4⋊C4—862no—
1461C4⋊C4—862no—
1462C4⋊C4—862no—
1463C4⋊C4—862no—
1464C4⋊C4—862no—
1465C4⋊C4—862no—
1466C4⋊C4—862no—
1467C4⋊C4—862no—
1468C4⋊C4—1721no—
1469C4⋊C4—1721no—
1470C4⋊C4—1721no—
1471C4⋊C4C2×C4×D4314yescomplemented
1472C4⋊C4C2×C4×D4314yescomplemented
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—41no—
1478C22⋊C4—434no—
1479C22⋊C4—434no—
1480C22⋊C4—434no—
1481C22⋊C4—434no—
1482C22⋊C4—434no—
1483C22⋊C4—434no—
1484C22⋊C4—434no—
1485C22⋊C4—434no—
1486C22⋊C4—434no—
1487C22⋊C4—434no—
1488C22⋊C4—434no—
1489C22⋊C4—434no—
1490C22⋊C4—862no—
1491C22⋊C4—862no—
1492C22⋊C4—862no—
1493C22⋊C4—862no—
1494C22⋊C4—862no—
1495C22⋊C4—862no—
1496C22⋊C4—862no—
1497C22⋊C4—862no—
1498C22⋊C4—862no—
1499C22⋊C4—862no—
1500C22⋊C4—862no—
1501C22⋊C4—862no—
1502C22⋊C4—862no—
1503C22⋊C4—862no—
1504C22⋊C4—862no—
1505C22⋊C4—862no—
1506C22⋊C4—862no—
1507C22⋊C4—1721no—
1508C22⋊C4—1721no—
1509C22⋊C4—1721no—
1510C22⋊C4—1721no—
1511C22⋊C4—1721no—
1512C22⋊C4C2×C4×D4314yescomplemented
1513C22⋊C4C2×C4×D4314yescomplemented
1514C22⋊C4C2×C4×D4314yescomplemented
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—22no—
1522C42—434no—
1523C42—434no—
1524C42—862no—
1525C42—862no—
1526C42—862no—
1527C42—862no—
1528C42—862no—
1529C42—862no—
1530C42—862no—
1531C42—862no—
1532C42—862no—
1533C42—862no—
1534C42—862no—
1535C42—1721no—
1536C42—1721no—
1537C42—1721no—
1538C42—1721no—
1539C42—1721no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—432no—
1551C23—432no—
1552C23—432no—
1553C23—432no—
1554C23—432no—
1555C23—432no—
1556C23—432no—
1557C23—432no—
1558C23—868no—
1559C23—868no—
1560C23—868no—
1561C23—861no—
1562C23—861no—
1563C23—861no—
1564C23—861no—
1565C23—861no—
1566C23—861no—
1567C23—861no—
1568C23—861no—
1569C23—868no—
1570C23—861no—
1571C23—861no—
1572C23—861no—
1573C23—861no—
1574C23—861no—
1575C23—861no—
1576C23—861no—
1577C23—861no—
1578C23—861no—
1579C23—861no—
1580C23—861no—
1581C23—861no—
1582C23—1724no—
1583C23—1724no—
1584C23—1724no—
1585C23—1724no—
1586C23—1724no—
1587C23—1724no—
1588C23—1724no—
1589C23—1724no—
1590C23—1724no—
1591C23—1724no—
1592C23C22×C4×D4312yes—
1593C23C22×C4×D4312yes—
1594C23C2×D4×D4312yes—
1595C23#41×D4312yes—
1596C23C24×D4311yescharacteristic
1597Q8—868no—
1598D4—28no—
1599D4—4316no—
1600D4—868no—
1601D4—868no—
1602D4—868no—
1603D4—868no—
1604D4—868no—
1605D4—1724no—
1606D4—1724no—
1607C2×C4—28no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—28no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—432no—
1641C2×C4—432no—
1642C2×C4—432no—
1643C2×C4—432no—
1644C2×C4—432no—
1645C2×C4—432no—
1646C2×C4—432no—
1647C2×C4—432no—
1648C2×C4—432no—
1649C2×C4—432no—
1650C2×C4—868no—
1651C2×C4—868no—
1652C2×C4—868no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—861no—
1664C2×C4—861no—
1665C2×C4—861no—
1666C2×C4—861no—
1667C2×C4—868no—
1668C2×C4—868no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—861no—
1679C2×C4—861no—
1680C2×C4—861no—
1681C2×C4—1724no—
1682C2×C4—1724no—
1683C2×C4—1724no—
1684C2×C4—1724no—
1685C2×C4—1724no—
1686C2×C4—1724no—
1687C2×C4—1724no—
1688C2×C4—1724no—
1689C2×C4—1724no—
1690C2×C4—1724no—
1691C2×C4—1724no—
1692C2×C4—1724no—
1693C2×C4—1724no—
1694C2×C4—1724no—
1695C2×C4—1724no—
1696C2×C4C22×C4×D4312yes—
1697C2×C4C22×C4×D4312yes—
1698C2×C4C22×C4×D4312yes—
1699C2×C4C22×C4×D4312yes—
1700C2×C4C22×C4×D4312yes—
1701C2×C4C2×D4×D4312yes—
1702C2×C4C2×D4×D4312yes—
1703C2×C4#41×D4312yes—
1704C2×C4#41×D4312yes—
1705C2×C4#1306337112yes—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—434no—
1720C22—434no—
1721C22—862no—
1722C22—862no—
1723C22—862no—
1724C22—862no—
1725C22—862no—
1726C22—862no—
1727C22—862no—
1728C22—862no—
1729C22—862no—
1730C22—862no—
1731C22—862no—
1732C22—862no—
1733C22—862no—
1734C22—862no—
1735C22—862no—
1736C22—862no—
1737C22—862no—
1738C22—862no—
1739C22—17216no—
1740C22—17216no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22C4×D4×D4314yes—
1750C22C23×C4×D4311yescharacteristic
1751C22C22×D4×D4311yescharacteristic
1752C22C2×#41×D4311yescharacteristic
1753C22C2×#41×D4311yescharacteristic
1754C22C2×#41×D4311yescharacteristic
1755C22C2×#1306337111yescharacteristic
1756C22#1458373511yescharacteristic
1757C4—22no—
1758C4—22no—
1759C4—22no—
1760C4—22no—
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—434no—
1770C4—862no—
1771C4—862no—
1772C4—862no—
1773C4—862no—
1774C4—862no—
1775C4—862no—
1776C4—862no—
1777C4—1721no—
1778C4—1721no—
1779C4—1721no—
1780C4—1721no—
1781C4#1458354114yesdirect product factor
1782C2—24no—
1783C2—42no—
1784C2—864no—
1785C2—864no—
1786C2—1722no—
1787C2—1722no—
1788C2C2×C4×D4×D4311yescharacteristic
1789C2C4×#41×D4311yescharacteristic
1790C2C4×#1306337111yescharacteristic
1791C2C2×#1458354111yescharacteristic
1792C2#1914807811yescharacteristic
1793C2#1914814711yescharacteristic
1794C2#1914820111yescharacteristic
subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC4×#123×C43C2
socle, cosocleC23×C43C25
prime radicalC2×#14583541C2
hypercenterC4×#123D43
hypocenterC43C4×#546
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
2. C2×C4×#10621898C2semidirect
3. C2×C4×D4×D43C2semidirect
4. #19137669C2semidirect
5. #19137643C2semidirect
6. #19137641C2semidirect
7. #19137628C2semidirect
8. #19137603C2semidirect
9. #19137591C2semidirect
10. #19137580C2semidirect
11. #19137573C2semidirect
12. #19137571C2semidirect
13. #19137519C2semidirect
14. #19137501C2semidirect
15. #19137439C2semidirect
16. #19137437C2semidirect
17. #19137419C2semidirect
18. #19137413C2semidirect
19. C4×#13063311C2semidirect
20. C4×#13063303C2semidirect
21. C4×#13063310C2semidirect
22. C4×#13063300C2semidirect
23. C4×#13063298C2semidirect
24. C4×#13063297C2semidirect
25. C4×#13063295C2semidirect
26. C4×#13063295C2semidirect
27. C4×#13063287C2semidirect
28. C4×(C22⋊D43)⋊C4C2semidirect
29. C2×C4×(C2×D43)⋊C4C2semidirect
30. C4×C22⋊C4×D43C2semidirect
31. C4×#123×C43C2semidirect
36. #14583541C4direct (N × H)
46. C2×C4×Dic86C22semidirect
47. C2×C4×Dic86C22semidirect
50. C2×C4×D172C22semidirect
51. C2×C4×D172C22semidirect
52. C2×C4×D172C22semidirect
60. C2×C4×C22⋊D43C22semidirect
61. C2×C4×C22⋊D43C22semidirect
62. C2×C4×C22⋊D43C22semidirect
68. C2×#13063284C22semidirect
69. C2×#13063282C22semidirect
70. C2×#13063282C22semidirect
78. C22×C4×Dic43C22semidirect
80. C2×C42×D43C22semidirect
81. C2×C42×D43C22semidirect
82. C2×C42×D43C22semidirect
83. #14582803C22semidirect
84. #14582803C22semidirect
85. #14582800C22semidirect
88. #14582799C22semidirect
89. #14582798C22semidirect
90. #14582796C22semidirect
91. #14582794C22semidirect
92. #14582794C22semidirect
93. #14582793C22semidirect
94. #14582792C22semidirect
95. #14582792C22semidirect
96. #14582791C22semidirect
97. #14582791C22semidirect
98. #14582791C22semidirect
99. #14582789C22semidirect
100. #14582789C22semidirect
101. #14582788C22semidirect
102. #14582788C22semidirect
103. #14582788C22semidirect
104. #14582787C22semidirect
105. #14582786C22semidirect
106. #14582785C22semidirect
107. #14582785C22semidirect
108. #14582781C22semidirect
114. #14582777C22semidirect
115. #14582777C22semidirect
116. #14582777C22semidirect
117. #14582777C22semidirect
118. #14582776C22semidirect
119. #14582776C22semidirect
120. #14582776C22semidirect
121. #14582775C22semidirect
122. #14582774C22semidirect
123. #14582774C22semidirect
127. #14582773C22semidirect
128. #14582773C22semidirect
130. #14582770C22semidirect
131. #14582763C22semidirect
132. #14582761C22semidirect
134. #14582758C22semidirect
135. #14582757C22semidirect
136. #14582756C22semidirect
139. C4⋊C4×Dic43C22semidirect
140. C4⋊C4×Dic43C22semidirect
141. C4×Dic43⋊C4C22semidirect
142. C4×Dic43⋊C4C22semidirect
143. #14582750C22semidirect
144. #14582750C22semidirect
145. C22⋊C4×Dic43C22semidirect
146. C22⋊C4×Dic43C22semidirect
147. C22⋊C4×Dic43C22semidirect
148. C22⋊C4×Dic43C22semidirect
154. C4×(C2×D43)⋊C4C22semidirect
155. C4×(C2×D43)⋊C4C22semidirect
156. C4×(C2×D43)⋊C4C22semidirect
157. C4×(C2×D43)⋊C4C22semidirect
158. C4×(C2×D43)⋊C4C22semidirect
159. C4×(C2×D43)⋊C4C22semidirect
160. C4×(C2×D43)⋊C4C22semidirect
161. C4×C22⋊Dic43C22semidirect
166. #14582746C22semidirect
167. #14582746C22semidirect
168. #14582746C22semidirect
169. #14582746C22semidirect
170. C2×C43⋊#95C22semidirect
171. C2×C43⋊#95C22semidirect
172. #95×D43C22semidirect
173. #95×D43C22semidirect
174. C42×Dic43C22semidirect
177. C22×C42×C43C22semidirect
178. C43×#388C22semidirect
179. C43×#388C22semidirect
180. C43×#387C22semidirect
181. C43×#387C22semidirect
183. C43×#385C22semidirect
184. C43×#381C22semidirect
185. C4×C4⋊C4×C43C22semidirect
186. C4×C4⋊C4×C43C22semidirect
187. C4×C22⋊C4×C43C22semidirect
188. C4×C22⋊C4×C43C22semidirect
189. C4×C22⋊C4×C43C22semidirect
194. C2×#10621898C2×C4semidirect
206. C2×D4×D43C2×C4semidirect
233. #13063311C2×C4semidirect
234. #13063310C2×C4semidirect
235. #13063303C2×C4semidirect
236. #13063300C2×C4semidirect
237. #13063298C2×C4semidirect
238. #13063297C2×C4semidirect
239. #13063295C2×C4semidirect
240. #13063295C2×C4semidirect
251. #13063287C2×C4semidirect
257. C4×C22⋊D43D4semidirect
261. (C22⋊D43)⋊C4C2×C4semidirect
288. C2×(C2×D43)⋊C4C2×C4semidirect
320. C22⋊C4×D43C2×C4semidirect
371. #123×C43C2×C4semidirect
437. C22×C4×C43C22×C4semidirect
460. C2×C22⋊D43C22×C4semidirect
461. C2×C22⋊D43C22×C4semidirect
475. C22×Dic43C22×C4semidirect
500. C2×D172C22×C4semidirect
501. C2×D172C22×C4semidirect
547. C2×C4×D43C22×C4semidirect
548. C2×C4×D43C22×C4semidirect
549. C2×C4×D43C22×C4semidirect
551. C2×C4×D43#41semidirect
554. C2×Dic86C22×C4semidirect
558. C4⋊C4×C43C22×C4semidirect
559. C4⋊C4×C43C22×C4semidirect
565. C22⋊C4×C43C22×C4semidirect
566. C22⋊C4×C43C22×C4semidirect
567. C22⋊C4×C43C22×C4semidirect
579. C22⋊Dic43C22×C4semidirect
602. (C2×D43)⋊C4C22×C4semidirect
603. (C2×D43)⋊C4C22×C4semidirect
604. (C2×D43)⋊C4C22×C4semidirect
605. (C2×D43)⋊C4C22×C4semidirect
606. (C2×D43)⋊C4C22×C4semidirect
608. (C2×D43)⋊C4#41semidirect
621. Dic43⋊C4C22×C4semidirect
622. Dic43⋊C4C22×C4semidirect
640. C4×Dic43C22×C4semidirect
746. C22⋊D43C4×D4semidirect
859. C2×D43C4×#41semidirect
872. C4×C43#546semidirect
906. C4×#123D43semidirect
982. C22×C42C2×D43semidirect
1005. #388C2×D43semidirect
1006. #388C2×D43semidirect
1011. #387C2×D43semidirect
1012. #387C2×D43semidirect
1036. #385C2×D43semidirect
1039. #381C2×D43semidirect
1052. C4×C4⋊C4C2×D43semidirect
1053. C4×C4⋊C4C2×D43semidirect
1079. C4×C22⋊C4C2×D43semidirect
1080. C4×C22⋊C4C2×D43semidirect
1081. C4×C22⋊C4C2×D43semidirect
1087. C43C4×#546semidirect
1138. #123C4×D43semidirect
1438. C22×C4C2×C4×D43semidirect
1471. C4⋊C4C2×C4×D43semidirect
1472. C4⋊C4C2×C4×D43semidirect
1512. C22⋊C4C2×C4×D43semidirect
1513. C22⋊C4C2×C4×D43semidirect
1514. C22⋊C4C2×C4×D43semidirect
1781. C4#14583541direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145835412
C2×C4×#106218982
C2×C4×D4×D432
#191376692
#191376432
#191376412
#191376282
#191376032
#191375912
#191375802
#191375732
#191375712
#191375192
#191375012
#191374392
#191374372
#191374192
#191374132
C4×#130633112
C4×#130633032
C4×#130633102
C4×#130633002
C4×#130632982
C4×#130632972
C4×#130632952
C4×#130632872
C4×(C22⋊D43)⋊C42
C2×C4×(C2×D43)⋊C42
C4×C22⋊C4×D432
C4×#123×C432
C4×#54643