Finite Group Databasebeta

← C4×#14583482 #25255660

Subgroups — C4×#14583482 #25255660

Order 11008.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583482C211yesmaximal, characteristic
2#19137408C211yesmaximal, characteristic, complemented
3#19137403C211yesmaximal, characteristic, complemented
4#19137385C211yesmaximal, characteristic, complemented
5#19137379C211yesmaximal, characteristic, complemented
6#19137370C211yesmaximal, characteristic, complemented
7#19137364C211yesmaximal, characteristic, complemented
8#19137360C211yesmaximal, characteristic, complemented
9#19137355C211yesmaximal, characteristic, complemented
10#19137323C211yesmaximal, characteristic, complemented
11#19137293C211yesmaximal, characteristic, complemented
12#19137255C211yesmaximal, characteristic, complemented
13#19137249C211yesmaximal, characteristic, complemented
14#19137228C211yesmaximal, characteristic, complemented
15#19137222C211yesmaximal, characteristic, complemented
16#19137190C211yesmaximal, characteristic, complemented
17C4×#13063320C211yesmaximal, characteristic, complemented
18C4×#13063319C211yesmaximal, characteristic, complemented
19C4×#13063313C211yesmaximal, characteristic, complemented
20C4×#13063311C211yesmaximal, characteristic, complemented
21C4×#13063302C211yesmaximal, characteristic, complemented
22C4×#13063310C211yesmaximal, characteristic, complemented
23C4×#13063308C211yesmaximal, characteristic, complemented
24C4×#13063299C211yesmaximal, characteristic, complemented
25C4×#13063298C211yesmaximal, characteristic, complemented
26C4×#13063297C211yesmaximal, characteristic, complemented
27C4×#13063295C211yesmaximal, characteristic, complemented
28C4×#13063293C211yesmaximal, characteristic, complemented
29C42×C22⋊D43C211yesmaximal, characteristic, complemented
30C2×C4×(C2×D43)⋊C4C211yesmaximal, characteristic, complemented
31C42×D4×C43C211yesmaximal, characteristic, complemented
32C23×C4×D43C2211yescharacteristic
33#14583482C4116yesdirect product factor
34C2×#13063320C2211yescharacteristic
35C2×#13063319C2211yescharacteristic
36C2×#13063313C2211yescharacteristic
37C2×#13063311C2211yescharacteristic
38C2×#13063310C2211yescharacteristic
39C2×#13063308C2211yescharacteristic
40C2×#13063302C2211yescharacteristic
41C2×#13063299C2211yescharacteristic
42C2×#13063298C2211yescharacteristic
43C2×#13063297C2211yescharacteristic
44C2×#13063295C2211yescharacteristic
45C2×#13063293C2211yescharacteristic
46C2×C4×Dic86C2211yescharacteristic, complemented
47C2×C4×D172C2211yescharacteristic
48C2×C4×D172C2211yescharacteristic
49C2×C4×C22⋊D43C2211yescharacteristic
50C2×C4×C22⋊D43C2211yescharacteristic
51C2×C4×C22⋊D43C2211yescharacteristic
52C2×C4×C22⋊D43C2211yescharacteristic
53C2×C4×C22⋊D43C2211yescharacteristic
54C2×C4×C22⋊D43C2211yescharacteristic, complemented
55C22×(C2×D43)⋊C4C2211yescharacteristic
56C22×(C2×D43)⋊C4C2211yescharacteristic
57C22×C4×Dic43C2211yescharacteristic
58C2×C42×D43C2211yescharacteristic, complemented
59#14582805C2211yescharacteristic, complemented
60#14582803C2211yescharacteristic, complemented
61#14582803C2211yescharacteristic, complemented
62#14582801C2211yescharacteristic
63#14582801C2211yescharacteristic
64#14582799C2211yescharacteristic
65#14582799C2211yescharacteristic
66#14582799C2211yescharacteristic, complemented
67#14582797C2211yescharacteristic, complemented
68#14582796C2211yescharacteristic, complemented
69#14582796C2211yescharacteristic, complemented
70#14582794C2211yescharacteristic, complemented
71#14582793C2211yescharacteristic, complemented
72#14582792C2211yescharacteristic, complemented
73#14582792C2211yescharacteristic, complemented
74#14582791C2211yescharacteristic
75#14582791C2211yescharacteristic
76#14582790C2211yescharacteristic
77#14582790C2211yescharacteristic
78#14582790C2211yescharacteristic
79#14582790C2211yescharacteristic
80#14582790C2211yescharacteristic
81#14582790C2211yescharacteristic
82#14582790C2211yescharacteristic
83#14582790C2211yescharacteristic
84#14582790C2211yescharacteristic, complemented
85#14582790C2211yescharacteristic, complemented
86#14582790C2211yescharacteristic, complemented
87#14582789C2211yescharacteristic
88#14582789C2211yescharacteristic
89#14582789C2211yescharacteristic, complemented
90#14582788C2211yescharacteristic
91#14582788C2211yescharacteristic
92#14582788C2211yescharacteristic
93#14582788C2211yescharacteristic
94#14582787C2211yescharacteristic, complemented
95#14582786C2211yescharacteristic, complemented
96#14582786C2211yescharacteristic, complemented
97#14582785C2211yescharacteristic, complemented
98#14582785C2211yescharacteristic, complemented
99#14582783C2211yescharacteristic, complemented
100#14582783C2211yescharacteristic, complemented
101#14582783C2211yescharacteristic, complemented
102#14582783C2211yescharacteristic, complemented
103#14582783C2211yescharacteristic, complemented
104#14582782C2211yescharacteristic, complemented
105#14582782C2211yescharacteristic, complemented
106#14582780C2211yescharacteristic, complemented
107#14582779C2211yescharacteristic
108#14582779C2211yescharacteristic
109#14582778C2211yescharacteristic
110#14582778C2211yescharacteristic
111#14582778C2211yescharacteristic, complemented
112#14582777C2211yescharacteristic
113#14582777C2211yescharacteristic
114#14582777C2211yescharacteristic
115#14582777C2211yescharacteristic
116#14582776C2211yescharacteristic
117#14582776C2211yescharacteristic
118#14582775C2211yescharacteristic
119#14582775C2211yescharacteristic
120#14582775C2211yescharacteristic, complemented
121#14582774C2211yescharacteristic
122#14582774C2211yescharacteristic
123#14582773C2211yescharacteristic
124#14582773C2211yescharacteristic
125#14582772C2211yescharacteristic, complemented
126#14582771C2211yescharacteristic
127#14582771C2211yescharacteristic
128#14582770C2211yescharacteristic
129#14582770C2211yescharacteristic
130#14582770C2211yescharacteristic, complemented
131#14582767C2211yescharacteristic, complemented
132#14582766C2211yescharacteristic, complemented
133#14582765C2211yescharacteristic, complemented
134#14582763C2211yescharacteristic, complemented
135#14582762C2211yescharacteristic, complemented
136#14582761C2211yescharacteristic, complemented
137#14582759C2211yescharacteristic, complemented
138#14582758C2211yescharacteristic, complemented
139#14582757C2211yescharacteristic
140#14582757C2211yescharacteristic
141#14582754C2211yescharacteristic
142#14582754C2211yescharacteristic
143C4×Dic43⋊C4C2211yescharacteristic, complemented
144C4×Dic43⋊C4C2211yescharacteristic, complemented
145C4×Dic43⋊C4C2211yescharacteristic, complemented
146C4×Dic43⋊C4C2211yescharacteristic, complemented
147C4×Dic43⋊C4C2211yescharacteristic, complemented
148C4×Dic43⋊C4C2211yescharacteristic, complemented
149C4×C4⋊Dic43C2211yescharacteristic, complemented
150C4×(C2×D43)⋊C4C2211yescharacteristic
151C4×(C2×D43)⋊C4C2211yescharacteristic
152C4×(C2×D43)⋊C4C2211yescharacteristic
153C4×(C2×D43)⋊C4C2211yescharacteristic
154C4×(C2×D43)⋊C4C2211yescharacteristic
155C4×(C2×D43)⋊C4C2211yescharacteristic
156C4×(C2×D43)⋊C4C2211yescharacteristic
157C4×(C2×D43)⋊C4C2211yescharacteristic
158C4×(C2×D43)⋊C4C2211yescharacteristic
159C4×(C2×D43)⋊C4C2211yescharacteristic
160C4×(C2×D43)⋊C4C2211yescharacteristic
161C4×(C2×D43)⋊C4C2211yescharacteristic
162C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
166C4×C22⋊Dic43C2211yescharacteristic
167C4×C22⋊Dic43C2211yescharacteristic
168C4×C22⋊Dic43C2211yescharacteristic
169C4×C22⋊Dic43C2211yescharacteristic, complemented
170C2×C43⋊#95C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C42×Dic43C2211yescharacteristic, complemented
173C2×C4×D4×C43C2211yescharacteristic
174C2×C4×D4×C43C2211yescharacteristic
175C2×C4×D4×C43C2211yescharacteristic
176C22×C42×C43C2211yescharacteristic
177C22×C42×C43C2211yescharacteristic, complemented
178C4×C4⋊C4×C43C2211yescharacteristic, complemented
179C4×C4⋊C4×C43C2211yescharacteristic, complemented
180C4×C4⋊C4×C43C2211yescharacteristic, complemented
181C4×C22⋊C4×C43C2211yescharacteristic
182C4×C22⋊C4×C43C2211yescharacteristic
183C4×C22⋊C4×C43C2211yescharacteristic
184C4×C22⋊C4×C43C2211yescharacteristic, complemented
185C4×C22⋊C4×C43C2211yescharacteristic, complemented
186C4×C22⋊C4×C43C2211yescharacteristic, complemented
187C43×C43C2211yescharacteristic, complemented
188C24×D43C2311yescharacteristic
189C22×Dic86C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×C22⋊D43C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C23×Dic43C2311yescharacteristic
197C23×Dic43C2311yescharacteristic
198C23×Dic43C2311yescharacteristic
199C22×C4×D43—24no—
200C22×C4×D43—42no—
201C22×C4×D43—42no—
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#13063319C2×C418yescomplemented
211#13063313C2×C418yescomplemented
212#13063311C2×C418yescomplemented
213#13063310C2×C418yescomplemented
214#13063308C2×C418yescomplemented
215#13063302C2×C418yescomplemented
216#13063299C2×C418yescomplemented
217#13063298C2×C418yescomplemented
218#13063297C2×C418yescomplemented
219#13063295C2×C418yescomplemented
220#13063293C2×C418yescomplemented
221C4×Dic86—42no—
222C4×D172—42no—
223C4×D172—42no—
224C4×C22⋊D43—24no—
225C4×C22⋊D43—24no—
226C4×C22⋊D43—42no—
227C4×C22⋊D43—42no—
228C4×C22⋊D43—42no—
229C4×C22⋊D43C2×C418yescomplemented
230C2×C4⋊Dic43C2311yescharacteristic
231C2×C4⋊Dic43C2311yescharacteristic
232C2×C4⋊Dic43C2311yescharacteristic
233C2×C4⋊Dic43C2311yescharacteristic
234C2×C4⋊Dic43C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
256C2×C22⋊Dic43C2311yescharacteristic
257C2×(C2×D43)⋊C4—24no—
258C2×(C2×D43)⋊C4C2×C418yescomplemented
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
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×C4×Dic43—42no—
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
301C42×D43—42no—
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
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
336C22×D4×C43C2311yescharacteristic
337C23×C4×C43C2311yescharacteristic
338C23×C4×C43C2311yescharacteristic
339C23×C4×C43C2311yescharacteristic
340C23×C4×C43C2311yescharacteristic
341C23×C4×C43C2311yescharacteristic
342C23×C4×C43C2311yescharacteristic
343C4×D4×C43—24no—
344C4×D4×C43—24no—
345C4×D4×C43C2×C418yescomplemented
346C2×C4⋊C4×C43C2311yescharacteristic
347C2×C4⋊C4×C43C2311yescharacteristic
348C2×C4⋊C4×C43C2311yescharacteristic
349C2×C22⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C42×C43—42no—
356C2×C42×C43—42no—
357C2×C42×C43C2311yescharacteristic
358C2×C42×C43C2311yescharacteristic
359C2×C42×C43C2311yescharacteristic
360C2×C42×C43C2311yescharacteristic
361C2×C42×C43C2311yescharacteristic
362C2×C42×C43C2311yescharacteristic
363C2×C42×C43C2311yescharacteristic
364C2×C42×C43C2311yescharacteristic
365C2×C42×C43C2311yescharacteristic
366C2×C42×C43C2311yescharacteristic
367C2×C42×C43C2311yescharacteristic
368C2×C42×C43C2311yescharacteristic
369C2×C42×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376C24×C43C2411yescharacteristic
377C24×C43C2411yescharacteristic
378C23×D43—22no—
379C23×D43—22no—
380C23×D43—41no—
381C23×D43—41no—
382C23×D43—41no—
383C23×D43—41no—
384C23×D43C22×C414yes—
385C23×D43C2411yescharacteristic
386C23×D43C2411yescharacteristic
387C23×D43C2411yescharacteristic
388C2×D4×C43—22no—
389C2×D4×C43—22no—
390C2×D4×C43C22×C414yes—
391C22×C4×C43—22no—
392C22×C4×C43—22no—
393C22×C4×C43—22no—
394C22×C4×C43—22no—
395C22×C4×C43—22no—
396C22×C4×C43—22no—
397C22×C4×C43—41no—
398C22×C4×C43—41no—
399C22×C4×C43—41no—
400C22×C4×C43—41no—
401C22×C4×C43—41no—
402C22×C4×C43—41no—
403C22×C4×C43—41no—
404C22×C4×C43—41no—
405C22×C4×C43C22×C414yes—
406C22×C4×C43C22×C414yescomplemented
407C22×C4×C43#4114yes—
408C22×C4×C43#4114yes—
409C22×C4×C43C2411yescharacteristic
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C2×C22⋊D43—22no—
423C2×C22⋊D43—22no—
424C2×C22⋊D43—41no—
425C2×C22⋊D43—41no—
426C2×C22⋊D43—41no—
427C2×C22⋊D43—41no—
428C2×C22⋊D43—41no—
429C2×C22⋊D43—41no—
430C2×C22⋊D43C22×C414yes—
431C2×C22⋊D43C22×C414yes—
432C2×C22⋊D43C22×C414yes—
433C2×C22⋊D43C22×C414yescomplemented
434C22×Dic43—22no—
435C22×Dic43—22no—
436C22×Dic43—41no—
437C22×Dic43—41no—
438C22×Dic43—41no—
439C22×Dic43—41no—
440C22×Dic43—41no—
441C22×Dic43—41no—
442C22×Dic43C22×C414yes—
443C22×Dic43C2411yescharacteristic
444C22×Dic43C2411yescharacteristic
445C22×Dic43C2411yescharacteristic
446C22×Dic43C2411yescharacteristic
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C2×D172—41no—
457C2×D172—41no—
458C2×D172—41no—
459C2×D172—41no—
460C2×D172C22×C414yes—
461C2×D172C22×C414yes—
462C2×C4×D43—22no—
463C2×C4×D43—22no—
464C2×C4×D43—22no—
465C2×C4×D43—22no—
466C2×C4×D43—22no—
467C2×C4×D43—22no—
468C2×C4×D43—22no—
469C2×C4×D43—22no—
470C2×C4×D43—22no—
471C2×C4×D43—22no—
472C2×C4×D43—22no—
473C2×C4×D43—22no—
474C2×C4×D43—41no—
475C2×C4×D43—41no—
476C2×C4×D43—41no—
477C2×C4×D43—41no—
478C2×C4×D43—41no—
479C2×C4×D43—41no—
480C2×C4×D43—41no—
481C2×C4×D43—41no—
482C2×C4×D43—416no—
483C2×C4×D43C22×C414yescomplemented
484C2×Dic86—41no—
485C2×Dic86—41no—
486C2×Dic86C22×C414yescomplemented
487C4⋊C4×C43—22no—
488C4⋊C4×C43—22no—
489C4⋊C4×C43C22×C414yescomplemented
490C22⋊C4×C43—22no—
491C22⋊C4×C43—22no—
492C22⋊C4×C43—22no—
493C22⋊C4×C43—22no—
494C22⋊C4×C43C22×C414yes—
495C22⋊C4×C43C22×C414yescomplemented
496C42×C43—22no—
497C42×C43—22no—
498C42×C43—22no—
499C42×C43—22no—
500C42×C43—22no—
501C42×C43—22no—
502C42×C43—41no—
503C42×C43—41no—
504C42×C43—41no—
505C42×C43—41no—
506C42×C43—41no—
507C42×C43—41no—
508C42×C43C22×C414yescomplemented
509C22⋊Dic43—22no—
510C22⋊Dic43—22no—
511C22⋊Dic43—41no—
512C22⋊Dic43—41no—
513C22⋊Dic43—41no—
514C22⋊Dic43—41no—
515C22⋊Dic43C22×C414yes—
516C22⋊Dic43C22×C414yescomplemented
517(C2×D43)⋊C4—22no—
518(C2×D43)⋊C4—22no—
519(C2×D43)⋊C4—22no—
520(C2×D43)⋊C4—22no—
521(C2×D43)⋊C4—22no—
522(C2×D43)⋊C4—22no—
523(C2×D43)⋊C4—41no—
524(C2×D43)⋊C4—41no—
525(C2×D43)⋊C4—41no—
526(C2×D43)⋊C4—41no—
527(C2×D43)⋊C4—41no—
528(C2×D43)⋊C4—41no—
529(C2×D43)⋊C4—41no—
530(C2×D43)⋊C4—41no—
531(C2×D43)⋊C4—41no—
532(C2×D43)⋊C4—41no—
533(C2×D43)⋊C4—41no—
534(C2×D43)⋊C4—41no—
535(C2×D43)⋊C4C22×C414yes—
536(C2×D43)⋊C4C22×C414yes—
537(C2×D43)⋊C4C22×C414yes—
538(C2×D43)⋊C4C22×C414yes—
539(C2×D43)⋊C4C22×C414yes—
540(C2×D43)⋊C4C22×C414yes—
541(C2×D43)⋊C4C22×C414yes—
542(C2×D43)⋊C4C22×C414yes—
543(C2×D43)⋊C4C22×C414yescomplemented
544(C2×D43)⋊C4C22×C414yescomplemented
545C4⋊Dic43—41no—
546C4⋊Dic43—41no—
547C4⋊Dic43—41no—
548C4⋊Dic43—41no—
549C4⋊Dic43C22×C414yescomplemented
550Dic43⋊C4—22no—
551Dic43⋊C4—22no—
552Dic43⋊C4—41no—
553Dic43⋊C4—41no—
554Dic43⋊C4—41no—
555Dic43⋊C4—41no—
556Dic43⋊C4—41no—
557Dic43⋊C4—41no—
558Dic43⋊C4—41no—
559Dic43⋊C4—41no—
560Dic43⋊C4C22×C414yescomplemented
561Dic43⋊C4C22×C414yescomplemented
562Dic43⋊C4C22×C414yescomplemented
563Dic43⋊C4C22×C414yescomplemented
564C4×Dic43—22no—
565C4×Dic43—22no—
566C4×Dic43—22no—
567C4×Dic43—22no—
568C4×Dic43—22no—
569C4×Dic43—22no—
570C4×Dic43—41no—
571C4×Dic43—41no—
572C4×Dic43—41no—
573C4×Dic43—41no—
574C4×Dic43—41no—
575C4×Dic43—41no—
576C4×Dic43C22×C414yescomplemented
577C23×C43—21no—
578C23×C43—21no—
579C23×C43—21no—
580C23×C43—21no—
581C23×C43—21no—
582C23×C43—21no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43C23×C412yes—
588C23×C43C23×C412yes—
589C23×C43C2×#4112yes—
590C23×C43C2×#4112yes—
591C23×C43C2511yescharacteristic
592C22×D43—28no—
593C22×D43—21no—
594C22×D43—21no—
595C22×D43—21no—
596C22×D43—21no—
597C22×D43—21no—
598C22×D43—21no—
599C22×D43—21no—
600C22×D43—21no—
601C22×D43—21no—
602C22×D43—21no—
603C22×D43—21no—
604C22×D43—21no—
605C22×D43—21no—
606C22×D43—21no—
607C22×D43—21no—
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—44no—
612C22×D43—44no—
613C22×D43—44no—
614C22×D43—44no—
615C22×D43—44no—
616C22×D43—44no—
617C22×D43C23×C412yes—
618C22×D43C23×C412yes—
619C22×D43C23×C412yes—
620D4×C43—28no—
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—21no—
637C2×C4×C43—28no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43—21no—
650C2×C4×C43—44no—
651C2×C4×C43—44no—
652C2×C4×C43—44no—
653C2×C4×C43—44no—
654C2×C4×C43—44no—
655C2×C4×C43C23×C412yes—
656C2×C4×C43C23×C412yes—
657C2×C4×C43C23×C412yes—
658C2×C4×C43C23×C412yes—
659C2×C4×C43C23×C412yes—
660C2×C4×C43C2×#4112yes—
661C2×C4×C43C2×#4112yes—
662C2×C4×C43C2×#4112yes—
663C2×C4×C43C2×#4112yes—
664C2×C4×C43H(5,𝔽2)12yes—
665C2×C4×C43H(5,𝔽2)12yes—
666C22⋊D43—28no—
667C22⋊D43—44no—
668C22⋊D43—44no—
669C22⋊D43—44no—
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—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43—21no—
691C2×Dic43—21no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—44no—
705C2×Dic43—44no—
706C2×Dic43—44no—
707C2×Dic43C23×C412yes—
708C2×Dic43C23×C412yes—
709C2×Dic43C23×C412yes—
710C2×Dic43C23×C412yes—
711C2×Dic43C23×C412yes—
712D172—44no—
713D172—44no—
714C4×D43—44no—
715C4×D43—44no—
716C4×D43—44no—
717C4×D43—44no—
718C4×D43—44no—
719C4×D43—44no—
720C4×D43—44no—
721Dic86—44no—
722C4×#538—431nomaximal, Sylow
723C22×C43—22no—
724C22×C43—22no—
725C22×C43—22no—
726C22×C43—22no—
727C22×C43—22no—
728C22×C43—22no—
729C22×C43—22no—
730C22×C43—22no—
731C22×C43—22no—
732C22×C43—41no—
733C22×C43—41no—
734C22×C43—41no—
735C22×C43—41no—
736C22×C43C4×#4114yes—
737C22×C43C24×C411yescharacteristic
738C22×C43C22×#4111yescharacteristic
739C22×C43C22×#4111yescharacteristic
740C22×C43C2×H(5,𝔽2)11yescharacteristic
741C22×C43C2×H(5,𝔽2)11yescharacteristic
742C22×C43#58511yescharacteristic
743C22×C43#58511yescharacteristic
744C2×D43—22no—
745C2×D43—22no—
746C2×D43—22no—
747C2×D43—22no—
748C2×D43—22no—
749C2×D43—22no—
750C2×D43—22no—
751C2×D43—22no—
752C2×D43—22no—
753C2×D43—416no—
754C2×D43—41no—
755C2×D43—41no—
756C2×D43—41no—
757C2×D43—41no—
758C2×D43—41no—
759C2×D43—41no—
760C2×D43—41no—
761C2×D43—41no—
762C2×D43—41no—
763C2×D43—41no—
764C2×D43—41no—
765C2×D43—41no—
766C4×C43—22no—
767C4×C43—22no—
768C4×C43—22no—
769C4×C43—22no—
770C4×C43—22no—
771C4×C43—22no—
772C4×C43—22no—
773C4×C43—22no—
774C4×C43—41no—
775C4×C43—41no—
776C4×C43—41no—
777C4×C43—41no—
778C4×C43#53814yescomplemented
779Dic43—22no—
780Dic43—22no—
781Dic43—22no—
782Dic43—22no—
783Dic43—22no—
784Dic43—41no—
785Dic43—41no—
786Dic43—41no—
787Dic43—41no—
788Dic43—41no—
789Dic43—41no—
790Dic43—41no—
791Dic43—41no—
792C2×#538—431no—
793#2337—431no—
794#2337—431no—
795#2335—431no—
796#2335—431no—
797#2334—431no—
798#2334—431no—
799#2333—431no—
800#2333—431no—
801#2329—431no—
802#2325—431no—
803#2321—431no—
804#2321—431no—
805#2318—431no—
806#2318—431no—
807#2312—431no—
808C4×#126—431no—
809C4×#126—431no—
810C4×#124—431no—
811C4×#124—431no—
812C4×C22⋊Q8—431no—
813C4×#123—431no—
814C4×#123—431no—
815C4×#121—431no—
816C4×#121—431no—
817C4×#121—431no—
818C4×#120—431no—
819C4×#120—431no—
820C42×D4—431no—
821C42×D4D4311yescharacteristic, complemented
822C2×C4×C22⋊C4—431no—
823C2×C43—24no—
824C2×C43—42no—
825C2×C43C2×C4×#4111yescharacteristic
826C2×C43C4×H(5,𝔽2)11yescharacteristic
827C2×C43C4×H(5,𝔽2)11yescharacteristic
828C2×C43C2×#53811yescharacteristic
829C2×C43#345511yescharacteristic
830C2×C43#345911yescharacteristic
831C2×C43#346011yescharacteristic
832D43—42no—
833D43—42no—
834D43—42no—
835C24×C4—431no—
836#538—4316no—
837C2×#126—431no—
838C2×#126—431no—
839C2×#124—431no—
840C2×#124—431no—
841C2×#123—431no—
842C2×#123—431no—
843C2×C22⋊Q8—431no—
844C2×#121—431no—
845C2×#121—431no—
846C2×#121—431no—
847C2×#120—431no—
848C2×#120—431no—
849C2×C4×Q8—431no—
850C2×C4×D4—431no—
851C2×C4×D4—431no—
852C2×C4×D4—431no—
853C2×C4×D4—431no—
854C2×C4×D4—431no—
855C2×C4×D4—431no—
856C2×C4×D4—431no—
857C2×C4×D4—431no—
858C2×C4×D4C2×D4311yescharacteristic
859C2×C4×D4C2×D4311yescharacteristic
860C2×C4×D4C2×D4311yescharacteristic
861C22×C22⋊C4—431no—
862C22×C22⋊C4—431no—
863C22×C42—431no—
864C22×C42—431no—
865C22×C42C2×D4311yescharacteristic
866C22×C42C2×D4311yescharacteristic, complemented
867#391—431no—
868#391—431no—
869#391—431no—
870#390—431no—
871#390—431no—
872#390—431no—
873#390—431no—
874#390—431no—
875#389—431no—
876#389—431no—
877#389—431no—
878#389—431no—
879#388—431no—
880#388—431no—
881#388—431no—
882#388—431no—
883#388—431no—
884#388—431no—
885#388—431no—
886#388—431no—
887#388—431no—
888#388—431no—
889#388—431no—
890#388—431no—
891#388—431no—
892#388—431no—
893#388—431no—
894#388—431no—
895#388—431no—
896#388—431no—
897#388—431no—
898#388—431no—
899#388—431no—
900#388—431no—
901#388—431no—
902#388—431no—
903#387—431no—
904#387—431no—
905#387—431no—
906#387—431no—
907#387—431no—
908#387—431no—
909#387—431no—
910#387—431no—
911#387—431no—
912#387—431no—
913#387—431no—
914#387—431no—
915#386—431no—
916#386—431no—
917#386—431no—
918#386—431no—
919#386—431no—
920#386—431no—
921#386—431no—
922#386—431no—
923#386—431no—
924#386—431no—
925#386—431no—
926#386—431no—
927#386—431no—
928#386—431no—
929#385—431no—
930#385—431no—
931#385—431no—
932#385—431no—
933#385—431no—
934#385—431no—
935#385—431no—
936#385—431no—
937#385—431no—
938#385—431no—
939#383—431no—
940#383—431no—
941#382—431no—
942#382—431no—
943#381—431no—
944#381—431no—
945#380—431no—
946#380—431no—
947#380—431no—
948#380—431no—
949#379—431no—
950#379—431no—
951C4×C4⋊C4—431no—
952C4×C4⋊C4—431no—
953C4×C4⋊C4—431no—
954C4×C4⋊C4—431no—
955C4×C4⋊C4—431no—
956C4×C4⋊C4—431no—
957C4×C4⋊C4—431no—
958C4×C4⋊C4C2×D4311yescharacteristic, complemented
959C4×C4⋊C4C2×D4311yescharacteristic, complemented
960C4×C4⋊C4C2×D4311yescharacteristic, complemented
961C4×C22⋊C4—431no—
962C4×C22⋊C4—431no—
963C4×C22⋊C4—431no—
964C4×C22⋊C4—431no—
965C4×C22⋊C4—431no—
966C4×C22⋊C4—431no—
967C4×C22⋊C4—431no—
968C4×C22⋊C4—431no—
969C4×C22⋊C4—431no—
970C4×C22⋊C4—431no—
971C4×C22⋊C4—431no—
972C4×C22⋊C4—431no—
973C4×C22⋊C4—431no—
974C4×C22⋊C4—431no—
975C4×C22⋊C4—431no—
976C4×C22⋊C4—431no—
977C4×C22⋊C4—431no—
978C4×C22⋊C4—431no—
979C4×C22⋊C4—431no—
980C4×C22⋊C4—431no—
981C4×C22⋊C4C2×D4311yescharacteristic
982C4×C22⋊C4C2×D4311yescharacteristic
983C4×C22⋊C4C2×D4311yescharacteristic
984C4×C22⋊C4C2×D4311yescharacteristic, complemented
985C4×C22⋊C4C2×D4311yescharacteristic, complemented
986C4×C22⋊C4C2×D4311yescharacteristic, complemented
987C2×#95—431no—
988C2×#95—431no—
989C43—431no—
990C43C2×D4311yescharacteristic, complemented
991C43C4×#53811yescharacteristic, complemented, Sylow
992C25—431no—
993C22×Q8—431no—
994C22×D4—431no—
995C22×D4—431no—
996C22×D4—431no—
997C22×D4—431no—
998C22×D4—431no—
999C22×D4—431no—
1000C22×D4C22×D4311yescharacteristic
1001C23×C4—431no—
1002C23×C4—431no—
1003C23×C4—431no—
1004C23×C4—431no—
1005C23×C4—431no—
1006C23×C4—431no—
1007C23×C4—431no—
1008C23×C4—431no—
1009C23×C4—431no—
1010C23×C4—431no—
1011C23×C4—864no—
1012C23×C4—1722no—
1013C23×C4—1722no—
1014C23×C4C22×D4311yescharacteristic
1015C23×C4C22×D4311yescharacteristic
1016C23×C4C22×D4311yescharacteristic
1017C23×C4C22×D4311yescharacteristic
1018C23×C4C22×D4311yescharacteristic
1019C23×C4C22×D4311yescharacteristic
1020#126—438no—
1021#126—438no—
1022#124—438no—
1023#124—438no—
1024#123—438no—
1025#123—438no—
1026C22⋊Q8—438no—
1027#121—438no—
1028#121—438no—
1029#121—438no—
1030#120—438no—
1031#120—438no—
1032C4×Q8—1722no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—438no—
1036C4×D4—864no—
1037C4×D4—864no—
1038C4×D4—1722no—
1039C4×D4—1722no—
1040C4×D4—1722no—
1041C4×D4—1722no—
1042C4×D4—1722no—
1043C4×D4C4×D4318yescomplemented
1044C2×C4⋊C4—431no—
1045C2×C4⋊C4—431no—
1046C2×C4⋊C4—431no—
1047C2×C4⋊C4—431no—
1048C2×C4⋊C4—431no—
1049C2×C4⋊C4—431no—
1050C2×C4⋊C4—431no—
1051C2×C4⋊C4—431no—
1052C2×C4⋊C4—431no—
1053C2×C4⋊C4—431no—
1054C2×C4⋊C4—431no—
1055C2×C4⋊C4—431no—
1056C2×C4⋊C4—431no—
1057C2×C4⋊C4—431no—
1058C2×C4⋊C4—431no—
1059C2×C4⋊C4—431no—
1060C2×C4⋊C4—431no—
1061C2×C4⋊C4—431no—
1062C2×C4⋊C4—431no—
1063C2×C4⋊C4C22×D4311yescharacteristic
1064C2×C4⋊C4C22×D4311yescharacteristic
1065C2×C4⋊C4C22×D4311yescharacteristic
1066C2×C22⋊C4—431no—
1067C2×C22⋊C4—431no—
1068C2×C22⋊C4—438no—
1069C2×C22⋊C4—431no—
1070C2×C22⋊C4—431no—
1071C2×C22⋊C4—431no—
1072C2×C22⋊C4—431no—
1073C2×C22⋊C4—431no—
1074C2×C22⋊C4—431no—
1075C2×C22⋊C4—431no—
1076C2×C22⋊C4—431no—
1077C2×C22⋊C4—431no—
1078C2×C22⋊C4—431no—
1079C2×C22⋊C4—431no—
1080C2×C22⋊C4—431no—
1081C2×C22⋊C4—431no—
1082C2×C22⋊C4—431no—
1083C2×C22⋊C4—431no—
1084C2×C22⋊C4—431no—
1085C2×C22⋊C4—431no—
1086C2×C22⋊C4—431no—
1087C2×C22⋊C4—431no—
1088C2×C22⋊C4—431no—
1089C2×C22⋊C4—431no—
1090C2×C22⋊C4—431no—
1091C2×C22⋊C4—431no—
1092C2×C22⋊C4—431no—
1093C2×C22⋊C4—431no—
1094C2×C22⋊C4—431no—
1095C2×C22⋊C4—431no—
1096C2×C22⋊C4—431no—
1097C2×C22⋊C4—431no—
1098C2×C22⋊C4—431no—
1099C2×C22⋊C4—431no—
1100C2×C22⋊C4—431no—
1101C2×C22⋊C4—431no—
1102C2×C22⋊C4—431no—
1103C2×C22⋊C4—864no—
1104C2×C22⋊C4C22×D4311yescharacteristic
1105C2×C22⋊C4C22×D4311yescharacteristic
1106C2×C22⋊C4C22×D4311yescharacteristic
1107C2×C22⋊C4C22×D4311yescharacteristic
1108C2×C22⋊C4C22×D4311yescharacteristic
1109C2×C22⋊C4C22×D4311yescharacteristic
1110C2×C42—42no—
1111C2×C42—42no—
1112C2×C42—431no—
1113C2×C42—431no—
1114C2×C42—431no—
1115C2×C42—431no—
1116C2×C42—431no—
1117C2×C42—431no—
1118C2×C42—431no—
1119C2×C42—431no—
1120C2×C42—431no—
1121C2×C42—431no—
1122C2×C42—431no—
1123C2×C42—431no—
1124C2×C42—431no—
1125C2×C42—1722no—
1126C2×C42—1722no—
1127C2×C42C22×D4311yescharacteristic
1128C2×C42C22×D4311yescharacteristic
1129C2×C42C22×D4311yescharacteristic
1130C2×C42C22×D4311yescharacteristic
1131C2×C42C22×D4311yescharacteristic
1132C2×C42C22×D4311yescharacteristic
1133C2×C42C22×D4311yescharacteristic
1134C2×C42C22×D4311yescharacteristic
1135C2×C42C22×D4311yescharacteristic
1136C2×C42C22×D4311yescharacteristic
1137C2×C42C22×D4311yescharacteristic
1138C2×C42C22×D4311yescharacteristic
1139C2×C42C22×D4311yescharacteristic
1140#95—431no—
1141#95—431no—
1142#95—431no—
1143#95—431no—
1144#95—431no—
1145#95—431no—
1146#95—431no—
1147#95—431no—
1148#95—431no—
1149#95—431no—
1150#95—431no—
1151#95—431no—
1152#95—431no—
1153#95—431no—
1154#95—431no—
1155#95—431no—
1156#95—431no—
1157#95—431no—
1158#95—431no—
1159#95—431no—
1160#95—431no—
1161#95—431no—
1162#95—431no—
1163#95—431no—
1164#95—431no—
1165#95—431no—
1166#95—431no—
1167#95—431no—
1168#95—431no—
1169#95—431no—
1170#95—431no—
1171#95—431no—
1172#95—431no—
1173#95—431no—
1174#95C22×D4311yescharacteristic
1175#95C22×D4311yescharacteristic
1176#95C22×D4311yescharacteristic
1177#95C22×D4311yescharacteristic
1178#95C22×D4311yescharacteristic
1179#95C22×D4311yescharacteristic
1180C24—431no—
1181C24—431no—
1182C24—431no—
1183C24—434no—
1184C24—862no—
1185C24—862no—
1186C24—1721no—
1187C24—1721no—
1188C24—1721no—
1189C24—1721no—
1190C24C23×D4311yescharacteristic
1191C24C23×D4311yescharacteristic
1192C2×Q8—434no—
1193C2×Q8—1721no—
1194C2×Q8—1721no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—434no—
1198C2×D4—434no—
1199C2×D4—434no—
1200C2×D4—434no—
1201C2×D4—434no—
1202C2×D4—434no—
1203C2×D4—862no—
1204C2×D4—862no—
1205C2×D4—1721no—
1206C2×D4—1721no—
1207C2×D4—1721no—
1208C2×D4—1721no—
1209C2×D4—1721no—
1210C2×D4—1721no—
1211C2×D4—1721no—
1212C2×D4—1721no—
1213C2×D4—1721no—
1214C2×D4—1721no—
1215C2×D4C2×C4×D4314yes—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—431no—
1231C22×C4—431no—
1232C22×C4—431no—
1233C22×C4—431no—
1234C22×C4—431no—
1235C22×C4—434no—
1236C22×C4—434no—
1237C22×C4—431no—
1238C22×C4—431no—
1239C22×C4—431no—
1240C22×C4—431no—
1241C22×C4—431no—
1242C22×C4—431no—
1243C22×C4—431no—
1244C22×C4—431no—
1245C22×C4—862no—
1246C22×C4—862no—
1247C22×C4—862no—
1248C22×C4—862no—
1249C22×C4—862no—
1250C22×C4—862no—
1251C22×C4—862no—
1252C22×C4—862no—
1253C22×C4—862no—
1254C22×C4—862no—
1255C22×C4—862no—
1256C22×C4—862no—
1257C22×C4—862no—
1258C22×C4—862no—
1259C22×C4—1721no—
1260C22×C4—1721no—
1261C22×C4—1721no—
1262C22×C4—1721no—
1263C22×C4—1721no—
1264C22×C4—1721no—
1265C22×C4—1721no—
1266C22×C4—1721no—
1267C22×C4—17216no—
1268C22×C4—1721no—
1269C22×C4—1721no—
1270C22×C4—1721no—
1271C22×C4—1721no—
1272C22×C4—1721no—
1273C22×C4—1721no—
1274C22×C4C2×C4×D4314yes—
1275C22×C4C2×C4×D4314yescomplemented
1276C22×C4#1062189814yes—
1277C22×C4#1062189814yes—
1278C22×C4C23×D4311yescharacteristic
1279C22×C4C23×D4311yescharacteristic
1280C22×C4C23×D4311yescharacteristic
1281C22×C4C23×D4311yescharacteristic
1282C22×C4C23×D4311yescharacteristic
1283C22×C4C23×D4311yescharacteristic
1284C22×C4C23×D4311yescharacteristic
1285C22×C4C23×D4311yescharacteristic
1286C22×C4C23×D4311yescharacteristic
1287C22×C4C23×D4311yescharacteristic
1288C22×C4C23×D4311yescharacteristic
1289C22×C4C23×D4311yescharacteristic
1290C22×C4C23×D4311yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—434no—
1294C4⋊C4—434no—
1295C4⋊C4—434no—
1296C4⋊C4—434no—
1297C4⋊C4—434no—
1298C4⋊C4—862no—
1299C4⋊C4—862no—
1300C4⋊C4—1721no—
1301C4⋊C4—1721no—
1302C4⋊C4—1721no—
1303C4⋊C4—1721no—
1304C4⋊C4—1721no—
1305C4⋊C4—1721no—
1306C4⋊C4—1721no—
1307C4⋊C4—1721no—
1308C4⋊C4—1721no—
1309C4⋊C4—1721no—
1310C4⋊C4—1721no—
1311C4⋊C4—1721no—
1312C4⋊C4C2×C4×D4314yescomplemented
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—434no—
1318C22⋊C4—434no—
1319C22⋊C4—434no—
1320C22⋊C4—434no—
1321C22⋊C4—434no—
1322C22⋊C4—434no—
1323C22⋊C4—434no—
1324C22⋊C4—434no—
1325C22⋊C4—434no—
1326C22⋊C4—434no—
1327C22⋊C4—434no—
1328C22⋊C4—434no—
1329C22⋊C4—862no—
1330C22⋊C4—862no—
1331C22⋊C4—862no—
1332C22⋊C4—862no—
1333C22⋊C4—862no—
1334C22⋊C4—862no—
1335C22⋊C4—862no—
1336C22⋊C4—862no—
1337C22⋊C4—1721no—
1338C22⋊C4—1721no—
1339C22⋊C4—1721no—
1340C22⋊C4—1721no—
1341C22⋊C4—1721no—
1342C22⋊C4—1721no—
1343C22⋊C4—1721no—
1344C22⋊C4—1721no—
1345C22⋊C4—1721no—
1346C22⋊C4—1721no—
1347C22⋊C4—1721no—
1348C22⋊C4—1721no—
1349C22⋊C4—1721no—
1350C22⋊C4—1721no—
1351C22⋊C4—1721no—
1352C22⋊C4—1721no—
1353C22⋊C4C2×C4×D4314yes—
1354C22⋊C4C2×C4×D4314yescomplemented
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—41no—
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—434no—
1368C42—862no—
1369C42—862no—
1370C42—862no—
1371C42—862no—
1372C42—862no—
1373C42—862no—
1374C42—1721no—
1375C42—1721no—
1376C42—1721no—
1377C42—1721no—
1378C42—1721no—
1379C42—1721no—
1380C42C2×C4×D4314yescomplemented
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—432no—
1392C23—432no—
1393C23—432no—
1394C23—868no—
1395C23—861no—
1396C23—861no—
1397C23—861no—
1398C23—861no—
1399C23—861no—
1400C23—861no—
1401C23—861no—
1402C23—861no—
1403C23—861no—
1404C23—861no—
1405C23—861no—
1406C23—861no—
1407C23—861no—
1408C23—861no—
1409C23—861no—
1410C23—861no—
1411C23—861no—
1412C23—861no—
1413C23—1724no—
1414C23—1724no—
1415C23—1724no—
1416C23—1724no—
1417C23—1724no—
1418C23—1724no—
1419C23C22×C4×D4312yes—
1420C23C22×C4×D4312yes—
1421C23C2×#1062189812yes—
1422C23C2×#1062189812yes—
1423C23C24×D4311yescharacteristic
1424Q8—1724no—
1425D4—28no—
1426D4—868no—
1427D4—1724no—
1428D4—1724no—
1429D4—1724no—
1430D4—1724no—
1431D4—1724no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—28no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—432no—
1467C2×C4—432no—
1468C2×C4—432no—
1469C2×C4—432no—
1470C2×C4—432no—
1471C2×C4—861no—
1472C2×C4—861no—
1473C2×C4—861no—
1474C2×C4—861no—
1475C2×C4—861no—
1476C2×C4—861no—
1477C2×C4—861no—
1478C2×C4—861no—
1479C2×C4—861no—
1480C2×C4—861no—
1481C2×C4—861no—
1482C2×C4—861no—
1483C2×C4—861no—
1484C2×C4—861no—
1485C2×C4—861no—
1486C2×C4—861no—
1487C2×C4—861no—
1488C2×C4—861no—
1489C2×C4—861no—
1490C2×C4—861no—
1491C2×C4—861no—
1492C2×C4—861no—
1493C2×C4—861no—
1494C2×C4—861no—
1495C2×C4—861no—
1496C2×C4—861no—
1497C2×C4—861no—
1498C2×C4—861no—
1499C2×C4—861no—
1500C2×C4—861no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—1724no—
1506C2×C4—1724no—
1507C2×C4—1724no—
1508C2×C4—1724no—
1509C2×C4—1724no—
1510C2×C4—1724no—
1511C2×C4—1724no—
1512C2×C4—1724no—
1513C2×C4—1724no—
1514C2×C4—1724no—
1515C2×C4C22×C4×D4312yes—
1516C2×C4C22×C4×D4312yes—
1517C2×C4C22×C4×D4312yes—
1518C2×C4C22×C4×D4312yes—
1519C2×C4C22×C4×D4312yes—
1520C2×C4C2×#1062189812yes—
1521C2×C4C2×#1062189812yes—
1522C2×C4C2×#1062189812yes—
1523C2×C4C2×#1062189812yes—
1524C2×C4#1306337012yes—
1525C2×C4#1306337112yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—862no—
1540C22—862no—
1541C22—862no—
1542C22—862no—
1543C22—862no—
1544C22—862no—
1545C22—862no—
1546C22—862no—
1547C22—862no—
1548C22—17216no—
1549C22—1721no—
1550C22—1721no—
1551C22—1721no—
1552C22—1721no—
1553C22—1721no—
1554C22—1721no—
1555C22—1721no—
1556C22—1721no—
1557C22—1721no—
1558C22—1721no—
1559C22—1721no—
1560C22—1721no—
1561C22C4×#1062189814yes—
1562C22C23×C4×D4311yescharacteristic
1563C22C22×#1062189811yescharacteristic
1564C22C22×#1062189811yescharacteristic
1565C22C2×#1306337011yescharacteristic
1566C22C2×#1306337111yescharacteristic
1567C22#1458373511yescharacteristic
1568C22#1458373511yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—862no—
1582C4—862no—
1583C4—862no—
1584C4—862no—
1585C4—862no—
1586C4—1721no—
1587C4—1721no—
1588C4—1721no—
1589C4—1721no—
1590C4—1721no—
1591C4—1721no—
1592C4—1721no—
1593C4—1721no—
1594C4#1458348214yesdirect product factor
1595C2—24no—
1596C2—42no—
1597C2—1722no—
1598C2—1722no—
1599C2—1722no—
1600C2C2×C4×#1062189811yescharacteristic
1601C2C4×#1306337011yescharacteristic
1602C2C4×#1306337111yescharacteristic
1603C2C2×#1458348211yescharacteristic
1604C2#1914798011yescharacteristic
1605C2#1914800411yescharacteristic
1606C2#1914801111yescharacteristic
subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC42×D4×C43C2
socle, cosocleC23×C43C25
prime radicalC2×#14583482C2
hypercenterC42×D4D43
hypocenterC43C4×#538
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
2. #19137408C2semidirect
3. #19137403C2semidirect
4. #19137385C2semidirect
5. #19137379C2semidirect
6. #19137370C2semidirect
7. #19137364C2semidirect
8. #19137360C2semidirect
9. #19137355C2semidirect
10. #19137323C2semidirect
11. #19137293C2semidirect
12. #19137255C2semidirect
13. #19137249C2semidirect
14. #19137228C2semidirect
15. #19137222C2semidirect
16. #19137190C2semidirect
17. C4×#13063320C2semidirect
18. C4×#13063319C2semidirect
19. C4×#13063313C2semidirect
20. C4×#13063311C2semidirect
21. C4×#13063302C2semidirect
22. C4×#13063310C2semidirect
23. C4×#13063308C2semidirect
24. C4×#13063299C2semidirect
25. C4×#13063298C2semidirect
26. C4×#13063297C2semidirect
27. C4×#13063295C2semidirect
28. C4×#13063293C2semidirect
29. C42×C22⋊D43C2semidirect
30. C2×C4×(C2×D43)⋊C4C2semidirect
31. C42×D4×C43C2semidirect
33. #14583482C4direct (N × H)
46. C2×C4×Dic86C22semidirect
54. C2×C4×C22⋊D43C22semidirect
58. C2×C42×D43C22semidirect
59. #14582805C22semidirect
60. #14582803C22semidirect
61. #14582803C22semidirect
66. #14582799C22semidirect
67. #14582797C22semidirect
68. #14582796C22semidirect
69. #14582796C22semidirect
70. #14582794C22semidirect
71. #14582793C22semidirect
72. #14582792C22semidirect
73. #14582792C22semidirect
84. #14582790C22semidirect
85. #14582790C22semidirect
86. #14582790C22semidirect
89. #14582789C22semidirect
94. #14582787C22semidirect
95. #14582786C22semidirect
96. #14582786C22semidirect
97. #14582785C22semidirect
98. #14582785C22semidirect
99. #14582783C22semidirect
100. #14582783C22semidirect
101. #14582783C22semidirect
102. #14582783C22semidirect
103. #14582783C22semidirect
104. #14582782C22semidirect
105. #14582782C22semidirect
106. #14582780C22semidirect
111. #14582778C22semidirect
120. #14582775C22semidirect
125. #14582772C22semidirect
130. #14582770C22semidirect
131. #14582767C22semidirect
132. #14582766C22semidirect
133. #14582765C22semidirect
134. #14582763C22semidirect
135. #14582762C22semidirect
136. #14582761C22semidirect
137. #14582759C22semidirect
138. #14582758C22semidirect
143. C4×Dic43⋊C4C22semidirect
144. C4×Dic43⋊C4C22semidirect
145. C4×Dic43⋊C4C22semidirect
146. C4×Dic43⋊C4C22semidirect
147. C4×Dic43⋊C4C22semidirect
148. C4×Dic43⋊C4C22semidirect
149. C4×C4⋊Dic43C22semidirect
162. C4×(C2×D43)⋊C4C22semidirect
163. C4×(C2×D43)⋊C4C22semidirect
164. C4×(C2×D43)⋊C4C22semidirect
165. C4×(C2×D43)⋊C4C22semidirect
169. C4×C22⋊Dic43C22semidirect
172. C42×Dic43C22semidirect
177. C22×C42×C43C22semidirect
178. C4×C4⋊C4×C43C22semidirect
179. C4×C4⋊C4×C43C22semidirect
180. C4×C4⋊C4×C43C22semidirect
184. C4×C22⋊C4×C43C22semidirect
185. C4×C22⋊C4×C43C22semidirect
186. C4×C22⋊C4×C43C22semidirect
187. C43×C43C22semidirect
209. #13063320C2×C4semidirect
210. #13063319C2×C4semidirect
211. #13063313C2×C4semidirect
212. #13063311C2×C4semidirect
213. #13063310C2×C4semidirect
214. #13063308C2×C4semidirect
215. #13063302C2×C4semidirect
216. #13063299C2×C4semidirect
217. #13063298C2×C4semidirect
218. #13063297C2×C4semidirect
219. #13063295C2×C4semidirect
220. #13063293C2×C4semidirect
229. C4×C22⋊D43C2×C4semidirect
258. C2×(C2×D43)⋊C4C2×C4semidirect
345. C4×D4×C43C2×C4semidirect
406. C22×C4×C43C22×C4semidirect
433. C2×C22⋊D43C22×C4semidirect
483. C2×C4×D43C22×C4semidirect
486. C2×Dic86C22×C4semidirect
489. C4⋊C4×C43C22×C4semidirect
495. C22⋊C4×C43C22×C4semidirect
508. C42×C43C22×C4semidirect
516. C22⋊Dic43C22×C4semidirect
543. (C2×D43)⋊C4C22×C4semidirect
544. (C2×D43)⋊C4C22×C4semidirect
549. C4⋊Dic43C22×C4semidirect
560. Dic43⋊C4C22×C4semidirect
561. Dic43⋊C4C22×C4semidirect
562. Dic43⋊C4C22×C4semidirect
563. Dic43⋊C4C22×C4semidirect
576. C4×Dic43C22×C4semidirect
778. C4×C43#538semidirect
821. C42×D4D43semidirect
866. C22×C42C2×D43semidirect
958. C4×C4⋊C4C2×D43semidirect
959. C4×C4⋊C4C2×D43semidirect
960. C4×C4⋊C4C2×D43semidirect
984. C4×C22⋊C4C2×D43semidirect
985. C4×C22⋊C4C2×D43semidirect
986. C4×C22⋊C4C2×D43semidirect
990. C43C2×D43semidirect
991. C43C4×#538semidirect
1043. C4×D4C4×D43semidirect
1275. C22×C4C2×C4×D43semidirect
1312. C4⋊C4C2×C4×D43semidirect
1354. C22⋊C4C2×C4×D43semidirect
1380. C42C2×C4×D43semidirect
1594. C4#14583482direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145834822
#191374082
#191374032
#191373852
#191373792
#191373702
#191373642
#191373602
#191373552
#191373232
#191372932
#191372552
#191372492
#191372282
#191372222
#191371902
C4×#130633202
C4×#130633192
C4×#130633132
C4×#130633112
C4×#130633022
C4×#130633102
C4×#130633082
C4×#130632992
C4×#130632982
C4×#130632972
C4×#130632952
C4×#130632932
C42×C22⋊D432
C2×C4×(C2×D43)⋊C42
C42×D4×C432
C4×#53843