Finite Group Databasebeta

← C43×#34492 #24954509

Subgroups — C43×#34492 #24954509

Order 11008.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#546C211yesmaximal, characteristic
2C43×#2378C211yesmaximal, characteristic, complemented
3C43×#2377C211yesmaximal, characteristic, complemented
4C43×#2376C211yesmaximal, characteristic, complemented
5C43×#2375C211yesmaximal, characteristic, complemented
6C43×#2372C211yesmaximal, characteristic, complemented
7C43×#2364C211yesmaximal, characteristic, complemented
8C43×#2363C211yesmaximal, characteristic, complemented
9C43×#2359C211yesmaximal, characteristic, complemented
10C43×#2358C211yesmaximal, characteristic, complemented
11C43×#2353C211yesmaximal, characteristic, complemented
12C43×#2353C211yesmaximal, characteristic, complemented
13C43×#2342C211yesmaximal, characteristic, complemented
14C43×#2342C211yesmaximal, characteristic, complemented
15C43×#2339C211yesmaximal, characteristic, complemented
16D4×C22⋊C4×C43C211yesmaximal, characteristic, complemented
17C43×#2337C211yesmaximal, characteristic, complemented
18C43×#2335C211yesmaximal, characteristic, complemented
19C43×#2333C211yesmaximal, characteristic, complemented
20C43×#2332C211yesmaximal, characteristic, complemented
21C43×#2325C211yesmaximal, characteristic, complemented
22C43×#2322C211yesmaximal, characteristic, complemented
23C43×#2321C211yesmaximal, characteristic, complemented
24C43×#2321C211yesmaximal, characteristic, complemented
25C43×#2319C211yesmaximal, characteristic, complemented
26C43×#2312C211yesmaximal, characteristic, complemented
27C43×#2311C211yesmaximal, characteristic, complemented
28C43×#2308C211yesmaximal, characteristic, complemented
29C4×#121×C43C211yesmaximal, characteristic, complemented
30C43×#2290C211yesmaximal, characteristic, complemented
31C2×C43×#388C211yesmaximal, characteristic, complemented
32C22×#41×C43C2211yescharacteristic
33C23×D4×C43C2211yescharacteristic
34C43×#546C4116yescomplemented
35C2×#124×C43C2211yescharacteristic
36C2×#123×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×C22⋊Q8×C43C2211yescharacteristic
39C2×#121×C43C2211yescharacteristic
40C2×#121×C43C2211yescharacteristic
41C2×#121×C43C2211yescharacteristic
42C2×#120×C43C2211yescharacteristic
43C2×#120×C43C2211yescharacteristic
44C2×C4×D4×C43C2211yescharacteristic
45C2×C4×D4×C43C2211yescharacteristic
46C2×C4×D4×C43C2211yescharacteristic
47C2×C4×D4×C43C2211yescharacteristic
48C2×C4×D4×C43C2211yescharacteristic, complemented
49C2×C4×D4×C43C2211yescharacteristic, complemented
50C2×C4×D4×C43C2211yescharacteristic, complemented
51C2×C4×D4×C43C2211yescharacteristic, complemented
52C2×#117×C43C2211yescharacteristic, complemented
53C2×#117×C43C2211yescharacteristic, complemented
54C22×C4⋊C4×C43C2211yescharacteristic, complemented
55C22×C22⋊C4×C43C2211yescharacteristic
56C22×C22⋊C4×C43C2211yescharacteristic
57C22×C22⋊C4×C43C2211yescharacteristic
58C22×C22⋊C4×C43C2211yescharacteristic
59C22×C22⋊C4×C43C2211yescharacteristic
60C22×C22⋊C4×C43C2211yescharacteristic
61C22×C42×C43C2211yescharacteristic, complemented
62C43×#391C2211yescharacteristic, complemented
63C43×#391C2211yescharacteristic, complemented
64C43×#391C2211yescharacteristic, complemented
65C43×#391C2211yescharacteristic, complemented
66C43×#390C2211yescharacteristic
67C43×#390C2211yescharacteristic
68C43×#390C2211yescharacteristic
69C43×#390C2211yescharacteristic
70C43×#390C2211yescharacteristic, complemented
71C43×#390C2211yescharacteristic, complemented
72C43×#390C2211yescharacteristic, complemented
73C43×#390C2211yescharacteristic, complemented
74C43×#389C2211yescharacteristic, complemented
75C43×#389C2211yescharacteristic, complemented
76C43×#389C2211yescharacteristic, complemented
77C43×#389C2211yescharacteristic, complemented
78C43×#388C2211yescharacteristic
79C43×#388C2211yescharacteristic
80C43×#388C2211yescharacteristic
81C43×#388C2211yescharacteristic
82C43×#388C2211yescharacteristic
83C43×#388C2211yescharacteristic
84C43×#388C2211yescharacteristic
85C43×#388C2211yescharacteristic
86C43×#388C2211yescharacteristic
87C43×#388C2211yescharacteristic
88C43×#388C2211yescharacteristic
89C43×#388C2211yescharacteristic
90C43×#388C2211yescharacteristic, complemented
91C43×#388C2211yescharacteristic, complemented
92C43×#388C2211yescharacteristic, complemented
93C43×#388C2211yescharacteristic, complemented
94C43×#388C2211yescharacteristic, complemented
95C43×#388C2211yescharacteristic, complemented
96C43×#388C2211yescharacteristic, complemented
97C43×#388C2211yescharacteristic, complemented
98C43×#388C2211yescharacteristic, complemented
99C43×#388C2211yescharacteristic, complemented
100C43×#388C2211yescharacteristic, complemented
101C43×#388C2211yescharacteristic, complemented
102C43×#388C2211yescharacteristic, complemented
103C43×#388C2211yescharacteristic, complemented
104C43×#388C2211yescharacteristic, complemented
105C43×#388C2211yescharacteristic, complemented
106C43×#388C2211yescharacteristic, complemented
107C43×#388C2211yescharacteristic, complemented
108C43×#387C2211yescharacteristic, complemented
109C43×#387C2211yescharacteristic, complemented
110C43×#387C2211yescharacteristic, complemented
111C43×#387C2211yescharacteristic, complemented
112C43×#387C2211yescharacteristic, complemented
113C43×#387C2211yescharacteristic, complemented
114C43×#387C2211yescharacteristic, complemented
115C43×#387C2211yescharacteristic, complemented
116C43×#387C2211yescharacteristic, complemented
117C43×#387C2211yescharacteristic, complemented
118C43×#386C2211yescharacteristic
119C43×#386C2211yescharacteristic
120C43×#386C2211yescharacteristic
121C43×#386C2211yescharacteristic
122C43×#386C2211yescharacteristic
123C43×#386C2211yescharacteristic
124C43×#386C2211yescharacteristic
125C43×#386C2211yescharacteristic
126C43×#386C2211yescharacteristic
127C43×#386C2211yescharacteristic
128C43×#386C2211yescharacteristic
129C43×#386C2211yescharacteristic
130C43×#386C2211yescharacteristic
131C43×#386C2211yescharacteristic
132C43×#386C2211yescharacteristic, complemented
133C43×#386C2211yescharacteristic, complemented
134C43×#386C2211yescharacteristic, complemented
135C43×#386C2211yescharacteristic, complemented
136C43×#386C2211yescharacteristic, complemented
137C43×#386C2211yescharacteristic, complemented
138C43×#386C2211yescharacteristic, complemented
139C43×#386C2211yescharacteristic, complemented
140C43×#385C2211yescharacteristic, complemented
141C43×#385C2211yescharacteristic, complemented
142C43×#385C2211yescharacteristic, complemented
143C43×#385C2211yescharacteristic, complemented
144C43×#385C2211yescharacteristic, complemented
145C43×#385C2211yescharacteristic, complemented
146C43×#385C2211yescharacteristic, complemented
147C43×#385C2211yescharacteristic, complemented
148C43×#383C2211yescharacteristic, complemented
149C43×#381C2211yescharacteristic
150C43×#381C2211yescharacteristic
151C43×#381C2211yescharacteristic, complemented
152C43×#381C2211yescharacteristic, complemented
153C43×#381C2211yescharacteristic, complemented
154C43×#380C2211yescharacteristic
155C43×#380C2211yescharacteristic, complemented
156C43×#380C2211yescharacteristic, complemented
157C43×#380C2211yescharacteristic, complemented
158C43×#380C2211yescharacteristic, complemented
159C43×#380C2211yescharacteristic, complemented
160C43×#380C2211yescharacteristic, complemented
161C43×#379C2211yescharacteristic
162C43×#379C2211yescharacteristic
163C43×#379C2211yescharacteristic
164C43×#379C2211yescharacteristic
165C4×C4⋊C4×C43C2211yescharacteristic, complemented
166C4×C4⋊C4×C43C2211yescharacteristic, complemented
167C4×C4⋊C4×C43C2211yescharacteristic, complemented
168C4×C22⋊C4×C43C2211yescharacteristic
169C4×C22⋊C4×C43C2211yescharacteristic, complemented
170C4×C22⋊C4×C43C2211yescharacteristic, complemented
171C4×C22⋊C4×C43C2211yescharacteristic, complemented
172C4×C22⋊C4×C43C2211yescharacteristic, complemented
173C4×C22⋊C4×C43C2211yescharacteristic, complemented
174C4×C22⋊C4×C43C2211yescharacteristic, complemented
175C4×C22⋊C4×C43C2211yescharacteristic, complemented
176C4×C22⋊C4×C43C2211yescharacteristic, complemented
177C4×C22⋊C4×C43C2211yescharacteristic, complemented
178C4×C22⋊C4×C43C2211yescharacteristic, complemented
179C4×C22⋊C4×C43C2211yescharacteristic, complemented
180C4×C22⋊C4×C43C2211yescharacteristic, complemented
181C4×C22⋊C4×C43C2211yescharacteristic, complemented
182C4×C22⋊C4×C43C2211yescharacteristic, complemented
183C43×#376C2211yescharacteristic, complemented
184C43×#376C2211yescharacteristic, complemented
185C2×#95×C43C2211yescharacteristic, complemented
186C2×#95×C43C2211yescharacteristic, complemented
187C2×#95×C43C2211yescharacteristic, complemented
188C25×C43C2311yescharacteristic
189C25×C43C2311yescharacteristic
190C2×#41×C43—42no—
191C2×#41×C43—42no—
192C2×#41×C43C2×C418yescomplemented
193C22×Q8×C43C2311yescharacteristic
194C22×D4×C43—42no—
195C22×D4×C43—42no—
196C22×D4×C43C2×C418yescomplemented
197C22×D4×C43C2311yescharacteristic
198C22×D4×C43C2311yescharacteristic
199C22×D4×C43C2311yescharacteristic
200C22×D4×C43C2311yescharacteristic
201C22×D4×C43C2311yescharacteristic
202C22×D4×C43C2311yescharacteristic
203C22×D4×C43C2311yescharacteristic
204C22×D4×C43C2311yescharacteristic
205C22×D4×C43C2311yescharacteristic
206C23×C4×C43C2311yescharacteristic
207C23×C4×C43C2311yescharacteristic
208C23×C4×C43C2311yescharacteristic
209C23×C4×C43C2311yescharacteristic
210C23×C4×C43C2311yescharacteristic
211C23×C4×C43C2311yescharacteristic
212C23×C4×C43C2311yescharacteristic
213C23×C4×C43C2311yescharacteristic
214C23×C4×C43C2311yescharacteristic
215C23×C4×C43C2311yescharacteristic
216C23×C4×C43C2311yescharacteristic
217C23×C4×C43C2311yescharacteristic
218C23×C4×C43C2311yescharacteristic
219C23×C4×C43C2311yescharacteristic
220C23×C4×C43C2311yescharacteristic
221C23×C4×C43C2311yescharacteristic
222#124×C43C2×C418yescomplemented
223#123×C43C2×C418yescomplemented
224#123×C43C2×C418yescomplemented
225C22⋊Q8×C43C2×C418yescomplemented
226#121×C43C2×C418yescomplemented
227#121×C43C2×C418yescomplemented
228#121×C43C2×C418yescomplemented
229#120×C43C2×C418yescomplemented
230#120×C43C2×C418yescomplemented
231C4×D4×C43—42no—
232C4×D4×C43—42no—
233C4×D4×C43—42no—
234C4×D4×C43—42no—
235C4×D4×C43—42no—
236C4×D4×C43—42no—
237C4×D4×C43C2×C418yescomplemented
238C4×D4×C43C2×C418yescomplemented
239#117×C43—42no—
240#117×C43—42no—
241C2×C4⋊C4×C43—42no—
242C2×C4⋊C4×C43C2311yescharacteristic
243C2×C4⋊C4×C43C2311yescharacteristic
244C2×C4⋊C4×C43C2311yescharacteristic
245C2×C4⋊C4×C43C2311yescharacteristic
246C2×C4⋊C4×C43C2311yescharacteristic
247C2×C4⋊C4×C43C2311yescharacteristic
248C2×C4⋊C4×C43C2311yescharacteristic
249C2×C4⋊C4×C43C2311yescharacteristic
250C2×C4⋊C4×C43C2311yescharacteristic
251C2×C4⋊C4×C43C2311yescharacteristic
252C2×C4⋊C4×C43C2311yescharacteristic
253C2×C4⋊C4×C43C2311yescharacteristic
254C2×C4⋊C4×C43C2311yescharacteristic
255C2×C4⋊C4×C43C2311yescharacteristic
256C2×C4⋊C4×C43C2311yescharacteristic
257C2×C4⋊C4×C43C2311yescharacteristic
258C2×C4⋊C4×C43C2311yescharacteristic
259C2×C4⋊C4×C43C2311yescharacteristic
260C2×C4⋊C4×C43C2311yescharacteristic
261C2×C4⋊C4×C43C2311yescharacteristic
262C2×C22⋊C4×C43—42no—
263C2×C22⋊C4×C43—42no—
264C2×C22⋊C4×C43—42no—
265C2×C22⋊C4×C43—42no—
266C2×C22⋊C4×C43C2×C418yescomplemented
267C2×C22⋊C4×C43C2×C418yescomplemented
268C2×C22⋊C4×C43C2311yescharacteristic
269C2×C22⋊C4×C43C2311yescharacteristic
270C2×C22⋊C4×C43C2311yescharacteristic
271C2×C22⋊C4×C43C2311yescharacteristic
272C2×C22⋊C4×C43C2311yescharacteristic
273C2×C22⋊C4×C43C2311yescharacteristic
274C2×C22⋊C4×C43C2311yescharacteristic
275C2×C22⋊C4×C43C2311yescharacteristic
276C2×C22⋊C4×C43C2311yescharacteristic
277C2×C22⋊C4×C43C2311yescharacteristic
278C2×C22⋊C4×C43C2311yescharacteristic
279C2×C22⋊C4×C43C2311yescharacteristic
280C2×C22⋊C4×C43C2311yescharacteristic
281C2×C22⋊C4×C43C2311yescharacteristic
282C2×C22⋊C4×C43C2311yescharacteristic
283C2×C22⋊C4×C43C2311yescharacteristic
284C2×C22⋊C4×C43C2311yescharacteristic
285C2×C22⋊C4×C43C2311yescharacteristic
286C2×C22⋊C4×C43C2311yescharacteristic
287C2×C22⋊C4×C43C2311yescharacteristic
288C2×C22⋊C4×C43C2311yescharacteristic
289C2×C22⋊C4×C43C2311yescharacteristic
290C2×C22⋊C4×C43C2311yescharacteristic
291C2×C22⋊C4×C43C2311yescharacteristic
292C2×C22⋊C4×C43C2311yescharacteristic
293C2×C22⋊C4×C43C2311yescharacteristic
294C2×C22⋊C4×C43C2311yescharacteristic
295C2×C22⋊C4×C43C2311yescharacteristic
296C2×C22⋊C4×C43C2311yescharacteristic
297C2×C22⋊C4×C43C2311yescharacteristic
298C2×C22⋊C4×C43C2311yescharacteristic
299C2×C22⋊C4×C43C2311yescharacteristic
300C2×C22⋊C4×C43C2311yescharacteristic
301C2×C22⋊C4×C43C2311yescharacteristic
302C2×C22⋊C4×C43C2311yescharacteristic
303C2×C22⋊C4×C43C2311yescharacteristic
304C2×C22⋊C4×C43C2311yescharacteristic
305C2×C22⋊C4×C43C2311yescharacteristic
306C2×C22⋊C4×C43C2311yescharacteristic
307C2×C22⋊C4×C43C2311yescharacteristic
308C2×C22⋊C4×C43C2311yescharacteristic
309C2×C22⋊C4×C43C2311yescharacteristic
310C2×C22⋊C4×C43C2311yescharacteristic
311C2×C22⋊C4×C43C2311yescharacteristic
312C2×C22⋊C4×C43C2311yescharacteristic
313C2×C22⋊C4×C43C2311yescharacteristic
314C2×C22⋊C4×C43C2311yescharacteristic
315C2×C22⋊C4×C43C2311yescharacteristic
316C2×C22⋊C4×C43C2311yescharacteristic
317C2×C22⋊C4×C43C2311yescharacteristic
318C2×C42×C43—42no—
319C2×C42×C43C2311yescharacteristic
320C2×C42×C43C2311yescharacteristic
321C2×C42×C43C2311yescharacteristic
322C2×C42×C43C2311yescharacteristic
323C2×C42×C43C2311yescharacteristic
324C2×C42×C43C2311yescharacteristic
325C2×C42×C43C2311yescharacteristic
326C2×C42×C43C2311yescharacteristic
327C2×C42×C43C2311yescharacteristic
328C2×C42×C43C2311yescharacteristic
329C2×C42×C43C2311yescharacteristic
330C2×C42×C43C2311yescharacteristic
331C2×C42×C43C2311yescharacteristic
332C2×C42×C43C2311yescharacteristic
333C2×C42×C43C2311yescharacteristic
334C2×C42×C43C2311yescharacteristic
335C2×C42×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376C24×C43—22no—
377C24×C43—22no—
378C24×C43—41no—
379C24×C43—41no—
380C24×C43—41no—
381C24×C43—41no—
382C24×C43—41no—
383C24×C43—41no—
384C24×C43—41no—
385C24×C43—41no—
386C24×C43—41no—
387C24×C43—41no—
388C24×C43C22×C414yes—
389C24×C43C22×C414yes—
390C24×C43C2411yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C24×C43C2411yescharacteristic
394C24×C43C2411yescharacteristic
395C24×C43C2411yescharacteristic
396#41×C43—416no—
397C2×Q8×C43—41no—
398C2×Q8×C43—41no—
399C2×Q8×C43C22×C414yes—
400C2×D4×C43—22no—
401C2×D4×C43—22no—
402C2×D4×C43—22no—
403C2×D4×C43—22no—
404C2×D4×C43—22no—
405C2×D4×C43—22no—
406C2×D4×C43—41no—
407C2×D4×C43—41no—
408C2×D4×C43—41no—
409C2×D4×C43—41no—
410C2×D4×C43—41no—
411C2×D4×C43—41no—
412C2×D4×C43—41no—
413C2×D4×C43—41no—
414C2×D4×C43—41no—
415C2×D4×C43—41no—
416C2×D4×C43—41no—
417C2×D4×C43—41no—
418C2×D4×C43—416no—
419C2×D4×C43C22×C414yes—
420C2×D4×C43C22×C414yes—
421C2×D4×C43C22×C414yes—
422C2×D4×C43C22×C414yes—
423C2×D4×C43C22×C414yes—
424C2×D4×C43C22×C414yes—
425C2×D4×C43C22×C414yes—
426C2×D4×C43C22×C414yes—
427C2×D4×C43C22×C414yes—
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—22no—
437C22×C4×C43—41no—
438C22×C4×C43—41no—
439C22×C4×C43—41no—
440C22×C4×C43—41no—
441C22×C4×C43—41no—
442C22×C4×C43—41no—
443C22×C4×C43—41no—
444C22×C4×C43—41no—
445C22×C4×C43—41no—
446C22×C4×C43—41no—
447C22×C4×C43—41no—
448C22×C4×C43—41no—
449C22×C4×C43—41no—
450C22×C4×C43—41no—
451C22×C4×C43—41no—
452C22×C4×C43—41no—
453C22×C4×C43—41no—
454C22×C4×C43—41no—
455C22×C4×C43—41no—
456C22×C4×C43—41no—
457C22×C4×C43—41no—
458C22×C4×C43—41no—
459C22×C4×C43—41no—
460C22×C4×C43—41no—
461C22×C4×C43—41no—
462C22×C4×C43—41no—
463C22×C4×C43—41no—
464C22×C4×C43—41no—
465C22×C4×C43—41no—
466C22×C4×C43—41no—
467C22×C4×C43—41no—
468C22×C4×C43—41no—
469C22×C4×C43—41no—
470C22×C4×C43C22×C414yes—
471C22×C4×C43C22×C414yes—
472C22×C4×C43C22×C414yes—
473C22×C4×C43C22×C414yes—
474C22×C4×C43C22×C414yes—
475C22×C4×C43C22×C414yes—
476C22×C4×C43C2411yescharacteristic
477C22×C4×C43C2411yescharacteristic
478C22×C4×C43C2411yescharacteristic
479C22×C4×C43C2411yescharacteristic
480C22×C4×C43C2411yescharacteristic
481C22×C4×C43C2411yescharacteristic
482C22×C4×C43C2411yescharacteristic
483C22×C4×C43C2411yescharacteristic
484C22×C4×C43C2411yescharacteristic
485C22×C4×C43C2411yescharacteristic
486C22×C4×C43C2411yescharacteristic
487C22×C4×C43C2411yescharacteristic
488C22×C4×C43C2411yescharacteristic
489C22×C4×C43C2411yescharacteristic
490C22×C4×C43C2411yescharacteristic
491C22×C4×C43C2411yescharacteristic
492C22×C4×C43C2411yescharacteristic
493C22×C4×C43C2411yescharacteristic
494C22×C4×C43C2411yescharacteristic
495C22×C4×C43C2411yescharacteristic
496C22×C4×C43C2411yescharacteristic
497C22×C4×C43C2411yescharacteristic
498C22×C4×C43C2411yescharacteristic
499C22×C4×C43C2411yescharacteristic
500C22×C4×C43C2411yescharacteristic
501C4⋊C4×C43—22no—
502C4⋊C4×C43—41no—
503C4⋊C4×C43—41no—
504C4⋊C4×C43—41no—
505C4⋊C4×C43—41no—
506C4⋊C4×C43—41no—
507C4⋊C4×C43—41no—
508C4⋊C4×C43—41no—
509C4⋊C4×C43—41no—
510C4⋊C4×C43—41no—
511C4⋊C4×C43—41no—
512C4⋊C4×C43—41no—
513C4⋊C4×C43—41no—
514C4⋊C4×C43—41no—
515C4⋊C4×C43—41no—
516C4⋊C4×C43—41no—
517C4⋊C4×C43C22×C414yes—
518C4⋊C4×C43C22×C414yes—
519C4⋊C4×C43C22×C414yes—
520C4⋊C4×C43C22×C414yes—
521C22⋊C4×C43—22no—
522C22⋊C4×C43—22no—
523C22⋊C4×C43—22no—
524C22⋊C4×C43—22no—
525C22⋊C4×C43—22no—
526C22⋊C4×C43—22no—
527C22⋊C4×C43—22no—
528C22⋊C4×C43—41no—
529C22⋊C4×C43—41no—
530C22⋊C4×C43—41no—
531C22⋊C4×C43—41no—
532C22⋊C4×C43—41no—
533C22⋊C4×C43—41no—
534C22⋊C4×C43—41no—
535C22⋊C4×C43—41no—
536C22⋊C4×C43—41no—
537C22⋊C4×C43—41no—
538C22⋊C4×C43—41no—
539C22⋊C4×C43—41no—
540C22⋊C4×C43—41no—
541C22⋊C4×C43—41no—
542C22⋊C4×C43—41no—
543C22⋊C4×C43—41no—
544C22⋊C4×C43—41no—
545C22⋊C4×C43—41no—
546C22⋊C4×C43—41no—
547C22⋊C4×C43—41no—
548C22⋊C4×C43—41no—
549C22⋊C4×C43—41no—
550C22⋊C4×C43—41no—
551C22⋊C4×C43—41no—
552C22⋊C4×C43—41no—
553C22⋊C4×C43—41no—
554C22⋊C4×C43—41no—
555C22⋊C4×C43—41no—
556C22⋊C4×C43—41no—
557C22⋊C4×C43—41no—
558C22⋊C4×C43—41no—
559C22⋊C4×C43C22×C414yes—
560C22⋊C4×C43C22×C414yes—
561C22⋊C4×C43C22×C414yes—
562C22⋊C4×C43C22×C414yes—
563C22⋊C4×C43C22×C414yes—
564C22⋊C4×C43C22×C414yes—
565C22⋊C4×C43C22×C414yes—
566C22⋊C4×C43C22×C414yes—
567C22⋊C4×C43C22×C414yes—
568C22⋊C4×C43C22×C414yes—
569C22⋊C4×C43C22×C414yes—
570C22⋊C4×C43C22×C414yes—
571C42×C43—22no—
572C42×C43—22no—
573C42×C43—41no—
574C42×C43—41no—
575C42×C43—41no—
576C42×C43—41no—
577C42×C43—41no—
578C42×C43—41no—
579C42×C43—41no—
580C42×C43—41no—
581C42×C43—41no—
582C42×C43—41no—
583C42×C43—41no—
584C42×C43—41no—
585C42×C43—41no—
586C42×C43—41no—
587C42×C43C22×C414yes—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—21no—
611C23×C43—21no—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—21no—
617C23×C43—21no—
618C23×C43—21no—
619C23×C43—21no—
620C23×C43—21no—
621C23×C43—21no—
622C23×C43—28no—
623C23×C43—44no—
624C23×C43—44no—
625C23×C43—44no—
626C23×C43—44no—
627C23×C43—44no—
628C23×C43—82no—
629C23×C43—82no—
630C23×C43—82no—
631C23×C43—82no—
632C23×C43—82no—
633C23×C43—82no—
634C23×C43—82no—
635C23×C43—82no—
636C23×C43C23×C412yes—
637C23×C43C23×C412yes—
638C23×C43C23×C412yes—
639C23×C43C23×C412yes—
640C23×C43C23×C412yes—
641C23×C43C23×C412yes—
642C23×C43H(5,𝔽2)12yes—
643C23×C43H(5,𝔽2)12yes—
644C23×C43C2511yescharacteristic
645Q8×C43—44no—
646D4×C43—28no—
647D4×C43—28no—
648D4×C43—28no—
649D4×C43—44no—
650D4×C43—44no—
651D4×C43—44no—
652D4×C43—44no—
653D4×C43—44no—
654D4×C43—44no—
655C2×C4×C43—28no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
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—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—44no—
722C2×C4×C43—44no—
723C2×C4×C43—44no—
724C2×C4×C43—44no—
725C2×C4×C43—44no—
726C2×C4×C43—44no—
727C2×C4×C43—44no—
728C2×C4×C43—82no—
729C2×C4×C43—82no—
730C2×C4×C43—82no—
731C2×C4×C43—82no—
732C2×C4×C43—82no—
733C2×C4×C43—82no—
734C2×C4×C43—82no—
735C2×C4×C43—82no—
736C2×C4×C43C23×C412yes—
737C2×C4×C43C23×C412yes—
738C2×C4×C43C23×C412yes—
739C2×C4×C43C23×C412yes—
740C2×C4×C43C23×C412yes—
741C2×C4×C43C23×C412yes—
742C2×C4×C43C23×C412yes—
743C2×C4×C43C23×C412yes—
744C2×C4×C43C23×C412yes—
745C2×C4×C43H(5,𝔽2)12yes—
746#34492C4311yesmaximal, characteristic, direct product factor, Sylow
747C22×C43—22no—
748C22×C43—22no—
749C22×C43—22no—
750C22×C43—22no—
751C22×C43—22no—
752C22×C43—22no—
753C22×C43—22no—
754C22×C43—22no—
755C22×C43—22no—
756C22×C43—22no—
757C22×C43—22no—
758C22×C43—22no—
759C22×C43—22no—
760C22×C43—22no—
761C22×C43—22no—
762C22×C43—22no—
763C22×C43—22no—
764C22×C43—22no—
765C22×C43—22no—
766C22×C43—22no—
767C22×C43—22no—
768C22×C43—41no—
769C22×C43—41no—
770C22×C43—41no—
771C22×C43—41no—
772C22×C43—41no—
773C22×C43—41no—
774C22×C43—41no—
775C22×C43—41no—
776C22×C43—41no—
777C22×C43—41no—
778C22×C43—41no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43—41no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—88no—
789C22×C43—88no—
790C22×C43#51814yes—
791C22×C43C24×C411yescharacteristic
792C22×C43C2×H(5,𝔽2)11yescharacteristic
793C22×C43C2×H(5,𝔽2)11yescharacteristic
794C22×C43C2×H(5,𝔽2)11yescharacteristic
795C22×C43#58511yescharacteristic
796C22×C43#58511yescharacteristic
797C22×C43#58511yescharacteristic
798C4×C43—22no—
799C4×C43—22no—
800C4×C43—22no—
801C4×C43—22no—
802C4×C43—22no—
803C4×C43—22no—
804C4×C43—22no—
805C4×C43—22no—
806C4×C43—22no—
807C4×C43—22no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817C4×C43—41no—
818C4×C43—41no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C2×#546C2×C4311yescharacteristic
824#2378C2×C4311yescharacteristic, complemented
825#2377C2×C4311yescharacteristic, complemented
826#2376C2×C4311yescharacteristic, complemented
827#2375C2×C4311yescharacteristic, complemented
828#2372C2×C4311yescharacteristic, complemented
829#2364C2×C4311yescharacteristic, complemented
830#2363C2×C4311yescharacteristic, complemented
831#2359C2×C4311yescharacteristic, complemented
832#2358C2×C4311yescharacteristic, complemented
833#2353C2×C4311yescharacteristic, complemented
834#2353C2×C4311yescharacteristic, complemented
835#2342C2×C4311yescharacteristic, complemented
836#2342C2×C4311yescharacteristic, complemented
837#2339C2×C4311yescharacteristic, complemented
838D4×C22⋊C4C2×C4311yescharacteristic, complemented
839#2337C2×C4311yescharacteristic, complemented
840#2335C2×C4311yescharacteristic, complemented
841#2333C2×C4311yescharacteristic, complemented
842#2332C2×C4311yescharacteristic, complemented
843#2325C2×C4311yescharacteristic, complemented
844#2322C2×C4311yescharacteristic, complemented
845#2321C2×C4311yescharacteristic, complemented
846#2321C2×C4311yescharacteristic, complemented
847#2319C2×C4311yescharacteristic, complemented
848#2312C2×C4311yescharacteristic, complemented
849#2311C2×C4311yescharacteristic, complemented
850#2308C2×C4311yescharacteristic, complemented
851C4×#121C2×C4311yescharacteristic, complemented
852#2290C2×C4311yescharacteristic, complemented
853C2×#388C2×C4311yescharacteristic, complemented
854C2×C43—24no—
855C2×C43—42no—
856C2×C43—42no—
857C2×C43—42no—
858C2×C43—42no—
859C2×C43—42no—
860C2×C43C2×#51811yescharacteristic
861C2×C43#342811yescharacteristic
862C2×C43C4×H(5,𝔽2)11yescharacteristic
863C2×C43#353411yescharacteristic
864C2×C43#354211yescharacteristic
865C2×C43#354511yescharacteristic
866C2×C43#356011yescharacteristic
867C22×#41C22×C4311yescharacteristic
868C23×D4C22×C4311yescharacteristic
869#546C4×C43116yescomplemented
870C2×#124C22×C4311yescharacteristic
871C2×#123C22×C4311yescharacteristic
872C2×#123C22×C4311yescharacteristic
873C2×C22⋊Q8C22×C4311yescharacteristic
874C2×#121C22×C4311yescharacteristic
875C2×#121C22×C4311yescharacteristic
876C2×#121C22×C4311yescharacteristic
877C2×#120C22×C4311yescharacteristic
878C2×#120C22×C4311yescharacteristic
879C2×C4×D4C22×C4311yescharacteristic
880C2×C4×D4C22×C4311yescharacteristic
881C2×C4×D4C22×C4311yescharacteristic
882C2×C4×D4C22×C4311yescharacteristic
883C2×C4×D4C22×C4311yescharacteristic, complemented
884C2×C4×D4C22×C4311yescharacteristic, complemented
885C2×C4×D4C22×C4311yescharacteristic, complemented
886C2×C4×D4C22×C4311yescharacteristic, complemented
887C2×#117C22×C4311yescharacteristic, complemented
888C2×#117C22×C4311yescharacteristic, complemented
889C22×C4⋊C4C22×C4311yescharacteristic, complemented
890C22×C22⋊C4C22×C4311yescharacteristic
891C22×C22⋊C4C22×C4311yescharacteristic
892C22×C22⋊C4C22×C4311yescharacteristic
893C22×C22⋊C4C22×C4311yescharacteristic
894C22×C22⋊C4C22×C4311yescharacteristic
895C22×C22⋊C4C22×C4311yescharacteristic
896C22×C42C22×C4311yescharacteristic, complemented
897#391C22×C4311yescharacteristic, complemented
898#391C22×C4311yescharacteristic, complemented
899#391C22×C4311yescharacteristic, complemented
900#391C22×C4311yescharacteristic, complemented
901#390C22×C4311yescharacteristic
902#390C22×C4311yescharacteristic
903#390C22×C4311yescharacteristic
904#390C22×C4311yescharacteristic
905#390C22×C4311yescharacteristic, complemented
906#390C22×C4311yescharacteristic, complemented
907#390C22×C4311yescharacteristic, complemented
908#390C22×C4311yescharacteristic, complemented
909#389C22×C4311yescharacteristic, complemented
910#389C22×C4311yescharacteristic, complemented
911#389C22×C4311yescharacteristic, complemented
912#389C22×C4311yescharacteristic, complemented
913#388C22×C4311yescharacteristic
914#388C22×C4311yescharacteristic
915#388C22×C4311yescharacteristic
916#388C22×C4311yescharacteristic
917#388C22×C4311yescharacteristic
918#388C22×C4311yescharacteristic
919#388C22×C4311yescharacteristic
920#388C22×C4311yescharacteristic
921#388C22×C4311yescharacteristic
922#388C22×C4311yescharacteristic
923#388C22×C4311yescharacteristic
924#388C22×C4311yescharacteristic
925#388C22×C4311yescharacteristic, complemented
926#388C22×C4311yescharacteristic, complemented
927#388C22×C4311yescharacteristic, complemented
928#388C22×C4311yescharacteristic, complemented
929#388C22×C4311yescharacteristic, complemented
930#388C22×C4311yescharacteristic, complemented
931#388C22×C4311yescharacteristic, complemented
932#388C22×C4311yescharacteristic, complemented
933#388C22×C4311yescharacteristic, complemented
934#388C22×C4311yescharacteristic, complemented
935#388C22×C4311yescharacteristic, complemented
936#388C22×C4311yescharacteristic, complemented
937#388C22×C4311yescharacteristic, complemented
938#388C22×C4311yescharacteristic, complemented
939#388C22×C4311yescharacteristic, complemented
940#388C22×C4311yescharacteristic, complemented
941#388C22×C4311yescharacteristic, complemented
942#388C22×C4311yescharacteristic, complemented
943#387C22×C4311yescharacteristic, complemented
944#387C22×C4311yescharacteristic, complemented
945#387C22×C4311yescharacteristic, complemented
946#387C22×C4311yescharacteristic, complemented
947#387C22×C4311yescharacteristic, complemented
948#387C22×C4311yescharacteristic, complemented
949#387C22×C4311yescharacteristic, complemented
950#387C22×C4311yescharacteristic, complemented
951#387C22×C4311yescharacteristic, complemented
952#387C22×C4311yescharacteristic, complemented
953#386C22×C4311yescharacteristic
954#386C22×C4311yescharacteristic
955#386C22×C4311yescharacteristic
956#386C22×C4311yescharacteristic
957#386C22×C4311yescharacteristic
958#386C22×C4311yescharacteristic
959#386C22×C4311yescharacteristic
960#386C22×C4311yescharacteristic
961#386C22×C4311yescharacteristic
962#386C22×C4311yescharacteristic
963#386C22×C4311yescharacteristic
964#386C22×C4311yescharacteristic
965#386C22×C4311yescharacteristic
966#386C22×C4311yescharacteristic
967#386C22×C4311yescharacteristic, complemented
968#386C22×C4311yescharacteristic, complemented
969#386C22×C4311yescharacteristic, complemented
970#386C22×C4311yescharacteristic, complemented
971#386C22×C4311yescharacteristic, complemented
972#386C22×C4311yescharacteristic, complemented
973#386C22×C4311yescharacteristic, complemented
974#386C22×C4311yescharacteristic, complemented
975#385C22×C4311yescharacteristic, complemented
976#385C22×C4311yescharacteristic, complemented
977#385C22×C4311yescharacteristic, complemented
978#385C22×C4311yescharacteristic, complemented
979#385C22×C4311yescharacteristic, complemented
980#385C22×C4311yescharacteristic, complemented
981#385C22×C4311yescharacteristic, complemented
982#385C22×C4311yescharacteristic, complemented
983#383C22×C4311yescharacteristic, complemented
984#381C22×C4311yescharacteristic
985#381C22×C4311yescharacteristic
986#381C22×C4311yescharacteristic, complemented
987#381C22×C4311yescharacteristic, complemented
988#381C22×C4311yescharacteristic, complemented
989#380C22×C4311yescharacteristic
990#380C22×C4311yescharacteristic, complemented
991#380C22×C4311yescharacteristic, complemented
992#380C22×C4311yescharacteristic, complemented
993#380C22×C4311yescharacteristic, complemented
994#380C22×C4311yescharacteristic, complemented
995#380C22×C4311yescharacteristic, complemented
996#379C22×C4311yescharacteristic
997#379C22×C4311yescharacteristic
998#379C22×C4311yescharacteristic
999#379C22×C4311yescharacteristic
1000C4×C4⋊C4C22×C4311yescharacteristic, complemented
1001C4×C4⋊C4C22×C4311yescharacteristic, complemented
1002C4×C4⋊C4C22×C4311yescharacteristic, complemented
1003C4×C22⋊C4C22×C4311yescharacteristic
1004C4×C22⋊C4C22×C4311yescharacteristic, complemented
1005C4×C22⋊C4C22×C4311yescharacteristic, complemented
1006C4×C22⋊C4C22×C4311yescharacteristic, complemented
1007C4×C22⋊C4C22×C4311yescharacteristic, complemented
1008C4×C22⋊C4C22×C4311yescharacteristic, complemented
1009C4×C22⋊C4C22×C4311yescharacteristic, complemented
1010C4×C22⋊C4C22×C4311yescharacteristic, complemented
1011C4×C22⋊C4C22×C4311yescharacteristic, complemented
1012C4×C22⋊C4C22×C4311yescharacteristic, complemented
1013C4×C22⋊C4C22×C4311yescharacteristic, complemented
1014C4×C22⋊C4C22×C4311yescharacteristic, complemented
1015C4×C22⋊C4C22×C4311yescharacteristic, complemented
1016C4×C22⋊C4C22×C4311yescharacteristic, complemented
1017C4×C22⋊C4C22×C4311yescharacteristic, complemented
1018#376C22×C4311yescharacteristic, complemented
1019#376C22×C4311yescharacteristic, complemented
1020C2×#95C22×C4311yescharacteristic, complemented
1021C2×#95C22×C4311yescharacteristic, complemented
1022C2×#95C22×C4311yescharacteristic, complemented
1023C43#3449211yescharacteristic, direct product factor, Sylow
1024C25C23×C4311yescharacteristic
1025C25C23×C4311yescharacteristic
1026C2×#41—42no—
1027C2×#41—42no—
1028C2×#41C2×C4×C4318yescomplemented
1029C22×Q8C23×C4311yescharacteristic
1030C22×D4—42no—
1031C22×D4—42no—
1032C22×D4C2×C4×C4318yescomplemented
1033C22×D4C23×C4311yescharacteristic
1034C22×D4C23×C4311yescharacteristic
1035C22×D4C23×C4311yescharacteristic
1036C22×D4C23×C4311yescharacteristic
1037C22×D4C23×C4311yescharacteristic
1038C22×D4C23×C4311yescharacteristic
1039C22×D4C23×C4311yescharacteristic
1040C22×D4C23×C4311yescharacteristic
1041C22×D4C23×C4311yescharacteristic
1042C23×C4C23×C4311yescharacteristic
1043C23×C4C23×C4311yescharacteristic
1044C23×C4C23×C4311yescharacteristic
1045C23×C4C23×C4311yescharacteristic
1046C23×C4C23×C4311yescharacteristic
1047C23×C4C23×C4311yescharacteristic
1048C23×C4C23×C4311yescharacteristic
1049C23×C4C23×C4311yescharacteristic
1050C23×C4C23×C4311yescharacteristic
1051C23×C4C23×C4311yescharacteristic
1052C23×C4C23×C4311yescharacteristic
1053C23×C4C23×C4311yescharacteristic
1054C23×C4C23×C4311yescharacteristic
1055C23×C4C23×C4311yescharacteristic
1056C23×C4C23×C4311yescharacteristic
1057C23×C4C23×C4311yescharacteristic
1058#124C2×C4×C4318yescomplemented
1059#123C2×C4×C4318yescomplemented
1060#123C2×C4×C4318yescomplemented
1061C22⋊Q8C2×C4×C4318yescomplemented
1062#121C2×C4×C4318yescomplemented
1063#121C2×C4×C4318yescomplemented
1064#121C2×C4×C4318yescomplemented
1065#120C2×C4×C4318yescomplemented
1066#120C2×C4×C4318yescomplemented
1067C4×D4—42no—
1068C4×D4—42no—
1069C4×D4—42no—
1070C4×D4—42no—
1071C4×D4—42no—
1072C4×D4—42no—
1073C4×D4C2×C4×C4318yescomplemented
1074C4×D4C2×C4×C4318yescomplemented
1075#117—42no—
1076#117—42no—
1077C2×C4⋊C4—42no—
1078C2×C4⋊C4C23×C4311yescharacteristic
1079C2×C4⋊C4C23×C4311yescharacteristic
1080C2×C4⋊C4C23×C4311yescharacteristic
1081C2×C4⋊C4C23×C4311yescharacteristic
1082C2×C4⋊C4C23×C4311yescharacteristic
1083C2×C4⋊C4C23×C4311yescharacteristic
1084C2×C4⋊C4C23×C4311yescharacteristic
1085C2×C4⋊C4C23×C4311yescharacteristic
1086C2×C4⋊C4C23×C4311yescharacteristic
1087C2×C4⋊C4C23×C4311yescharacteristic
1088C2×C4⋊C4C23×C4311yescharacteristic
1089C2×C4⋊C4C23×C4311yescharacteristic
1090C2×C4⋊C4C23×C4311yescharacteristic
1091C2×C4⋊C4C23×C4311yescharacteristic
1092C2×C4⋊C4C23×C4311yescharacteristic
1093C2×C4⋊C4C23×C4311yescharacteristic
1094C2×C4⋊C4C23×C4311yescharacteristic
1095C2×C4⋊C4C23×C4311yescharacteristic
1096C2×C4⋊C4C23×C4311yescharacteristic
1097C2×C4⋊C4C23×C4311yescharacteristic
1098C2×C22⋊C4—42no—
1099C2×C22⋊C4—42no—
1100C2×C22⋊C4—42no—
1101C2×C22⋊C4—42no—
1102C2×C22⋊C4C2×C4×C4318yescomplemented
1103C2×C22⋊C4C2×C4×C4318yescomplemented
1104C2×C22⋊C4C23×C4311yescharacteristic
1105C2×C22⋊C4C23×C4311yescharacteristic
1106C2×C22⋊C4C23×C4311yescharacteristic
1107C2×C22⋊C4C23×C4311yescharacteristic
1108C2×C22⋊C4C23×C4311yescharacteristic
1109C2×C22⋊C4C23×C4311yescharacteristic
1110C2×C22⋊C4C23×C4311yescharacteristic
1111C2×C22⋊C4C23×C4311yescharacteristic
1112C2×C22⋊C4C23×C4311yescharacteristic
1113C2×C22⋊C4C23×C4311yescharacteristic
1114C2×C22⋊C4C23×C4311yescharacteristic
1115C2×C22⋊C4C23×C4311yescharacteristic
1116C2×C22⋊C4C23×C4311yescharacteristic
1117C2×C22⋊C4C23×C4311yescharacteristic
1118C2×C22⋊C4C23×C4311yescharacteristic
1119C2×C22⋊C4C23×C4311yescharacteristic
1120C2×C22⋊C4C23×C4311yescharacteristic
1121C2×C22⋊C4C23×C4311yescharacteristic
1122C2×C22⋊C4C23×C4311yescharacteristic
1123C2×C22⋊C4C23×C4311yescharacteristic
1124C2×C22⋊C4C23×C4311yescharacteristic
1125C2×C22⋊C4C23×C4311yescharacteristic
1126C2×C22⋊C4C23×C4311yescharacteristic
1127C2×C22⋊C4C23×C4311yescharacteristic
1128C2×C22⋊C4C23×C4311yescharacteristic
1129C2×C22⋊C4C23×C4311yescharacteristic
1130C2×C22⋊C4C23×C4311yescharacteristic
1131C2×C22⋊C4C23×C4311yescharacteristic
1132C2×C22⋊C4C23×C4311yescharacteristic
1133C2×C22⋊C4C23×C4311yescharacteristic
1134C2×C22⋊C4C23×C4311yescharacteristic
1135C2×C22⋊C4C23×C4311yescharacteristic
1136C2×C22⋊C4C23×C4311yescharacteristic
1137C2×C22⋊C4C23×C4311yescharacteristic
1138C2×C22⋊C4C23×C4311yescharacteristic
1139C2×C22⋊C4C23×C4311yescharacteristic
1140C2×C22⋊C4C23×C4311yescharacteristic
1141C2×C22⋊C4C23×C4311yescharacteristic
1142C2×C22⋊C4C23×C4311yescharacteristic
1143C2×C22⋊C4C23×C4311yescharacteristic
1144C2×C22⋊C4C23×C4311yescharacteristic
1145C2×C22⋊C4C23×C4311yescharacteristic
1146C2×C22⋊C4C23×C4311yescharacteristic
1147C2×C22⋊C4C23×C4311yescharacteristic
1148C2×C22⋊C4C23×C4311yescharacteristic
1149C2×C22⋊C4C23×C4311yescharacteristic
1150C2×C22⋊C4C23×C4311yescharacteristic
1151C2×C22⋊C4C23×C4311yescharacteristic
1152C2×C22⋊C4C23×C4311yescharacteristic
1153C2×C22⋊C4C23×C4311yescharacteristic
1154C2×C42—42no—
1155C2×C42C23×C4311yescharacteristic
1156C2×C42C23×C4311yescharacteristic
1157C2×C42C23×C4311yescharacteristic
1158C2×C42C23×C4311yescharacteristic
1159C2×C42C23×C4311yescharacteristic
1160C2×C42C23×C4311yescharacteristic
1161C2×C42C23×C4311yescharacteristic
1162C2×C42C23×C4311yescharacteristic
1163C2×C42C23×C4311yescharacteristic
1164C2×C42C23×C4311yescharacteristic
1165C2×C42C23×C4311yescharacteristic
1166C2×C42C23×C4311yescharacteristic
1167C2×C42C23×C4311yescharacteristic
1168C2×C42C23×C4311yescharacteristic
1169C2×C42C23×C4311yescharacteristic
1170C2×C42C23×C4311yescharacteristic
1171C2×C42C23×C4311yescharacteristic
1172#95C23×C4311yescharacteristic
1173#95C23×C4311yescharacteristic
1174#95C23×C4311yescharacteristic
1175#95C23×C4311yescharacteristic
1176#95C23×C4311yescharacteristic
1177#95C23×C4311yescharacteristic
1178#95C23×C4311yescharacteristic
1179#95C23×C4311yescharacteristic
1180#95C23×C4311yescharacteristic
1181#95C23×C4311yescharacteristic
1182#95C23×C4311yescharacteristic
1183#95C23×C4311yescharacteristic
1184#95C23×C4311yescharacteristic
1185#95C23×C4311yescharacteristic
1186#95C23×C4311yescharacteristic
1187#95C23×C4311yescharacteristic
1188#95C23×C4311yescharacteristic
1189#95C23×C4311yescharacteristic
1190#95C23×C4311yescharacteristic
1191#95C23×C4311yescharacteristic
1192#95C23×C4311yescharacteristic
1193#95C23×C4311yescharacteristic
1194#95C23×C4311yescharacteristic
1195#95C23×C4311yescharacteristic
1196#95C23×C4311yescharacteristic
1197#95C23×C4311yescharacteristic
1198#95C23×C4311yescharacteristic
1199#95C23×C4311yescharacteristic
1200#95C23×C4311yescharacteristic
1201#95C23×C4311yescharacteristic
1202#95C23×C4311yescharacteristic
1203#95C23×C4311yescharacteristic
1204#95C23×C4311yescharacteristic
1205#95C23×C4311yescharacteristic
1206#95C23×C4311yescharacteristic
1207#95C23×C4311yescharacteristic
1208#95C23×C4311yescharacteristic
1209#95C23×C4311yescharacteristic
1210#95C23×C4311yescharacteristic
1211#95C23×C4311yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24C22×C4×C4314yes—
1225C24C22×C4×C4314yes—
1226C24C24×C4311yescharacteristic
1227C24C24×C4311yescharacteristic
1228C24C24×C4311yescharacteristic
1229C24C24×C4311yescharacteristic
1230C24C24×C4311yescharacteristic
1231C24C24×C4311yescharacteristic
1232#41—416no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8C22×C4×C4314yes—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—416no—
1255C2×D4C22×C4×C4314yes—
1256C2×D4C22×C4×C4314yes—
1257C2×D4C22×C4×C4314yes—
1258C2×D4C22×C4×C4314yes—
1259C2×D4C22×C4×C4314yes—
1260C2×D4C22×C4×C4314yes—
1261C2×D4C22×C4×C4314yes—
1262C2×D4C22×C4×C4314yes—
1263C2×D4C22×C4×C4314yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4C22×C4×C4314yes—
1307C22×C4C22×C4×C4314yes—
1308C22×C4C22×C4×C4314yes—
1309C22×C4C22×C4×C4314yes—
1310C22×C4C22×C4×C4314yes—
1311C22×C4C22×C4×C4314yes—
1312C22×C4C24×C4311yescharacteristic
1313C22×C4C24×C4311yescharacteristic
1314C22×C4C24×C4311yescharacteristic
1315C22×C4C24×C4311yescharacteristic
1316C22×C4C24×C4311yescharacteristic
1317C22×C4C24×C4311yescharacteristic
1318C22×C4C24×C4311yescharacteristic
1319C22×C4C24×C4311yescharacteristic
1320C22×C4C24×C4311yescharacteristic
1321C22×C4C24×C4311yescharacteristic
1322C22×C4C24×C4311yescharacteristic
1323C22×C4C24×C4311yescharacteristic
1324C22×C4C24×C4311yescharacteristic
1325C22×C4C24×C4311yescharacteristic
1326C22×C4C24×C4311yescharacteristic
1327C22×C4C24×C4311yescharacteristic
1328C22×C4C24×C4311yescharacteristic
1329C22×C4C24×C4311yescharacteristic
1330C22×C4C24×C4311yescharacteristic
1331C22×C4C24×C4311yescharacteristic
1332C22×C4C24×C4311yescharacteristic
1333C22×C4C24×C4311yescharacteristic
1334C22×C4C24×C4311yescharacteristic
1335C22×C4C24×C4311yescharacteristic
1336C22×C4C24×C4311yescharacteristic
1337C4⋊C4—22no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4C22×C4×C4314yes—
1354C4⋊C4C22×C4×C4314yes—
1355C4⋊C4C22×C4×C4314yes—
1356C4⋊C4C22×C4×C4314yes—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4C22×C4×C4314yes—
1396C22⋊C4C22×C4×C4314yes—
1397C22⋊C4C22×C4×C4314yes—
1398C22⋊C4C22×C4×C4314yes—
1399C22⋊C4C22×C4×C4314yes—
1400C22⋊C4C22×C4×C4314yes—
1401C22⋊C4C22×C4×C4314yes—
1402C22⋊C4C22×C4×C4314yes—
1403C22⋊C4C22×C4×C4314yes—
1404C22⋊C4C22×C4×C4314yes—
1405C22⋊C4C22×C4×C4314yes—
1406C22⋊C4C22×C4×C4314yes—
1407C42—22no—
1408C42—22no—
1409C42—41no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—41no—
1414C42—41no—
1415C42—41no—
1416C42—41no—
1417C42—41no—
1418C42—41no—
1419C42—41no—
1420C42—41no—
1421C42—41no—
1422C42—41no—
1423C42C22×C4×C4314yes—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—28no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—82no—
1465C23—82no—
1466C23—82no—
1467C23—82no—
1468C23—82no—
1469C23—82no—
1470C23—82no—
1471C23—82no—
1472C23C23×C4×C4312yes—
1473C23C23×C4×C4312yes—
1474C23C23×C4×C4312yes—
1475C23C23×C4×C4312yes—
1476C23C23×C4×C4312yes—
1477C23C23×C4×C4312yes—
1478C23H(5,𝔽2)×C4312yes—
1479C23H(5,𝔽2)×C4312yes—
1480C23C25×C4311yescharacteristic
1481Q8—44no—
1482D4—28no—
1483D4—28no—
1484D4—28no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—44no—
1489D4—44no—
1490D4—44no—
1491C2×C4—28no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—82no—
1565C2×C4—82no—
1566C2×C4—82no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4C23×C4×C4312yes—
1573C2×C4C23×C4×C4312yes—
1574C2×C4C23×C4×C4312yes—
1575C2×C4C23×C4×C4312yes—
1576C2×C4C23×C4×C4312yes—
1577C2×C4C23×C4×C4312yes—
1578C2×C4C23×C4×C4312yes—
1579C2×C4C23×C4×C4312yes—
1580C2×C4C23×C4×C4312yes—
1581C2×C4H(5,𝔽2)×C4312yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—88no—
1624C22—88no—
1625C22C43×#51814yes—
1626C22C24×C4×C4311yescharacteristic
1627C22C2×H(5,𝔽2)×C4311yescharacteristic
1628C22C2×H(5,𝔽2)×C4311yescharacteristic
1629C22C2×H(5,𝔽2)×C4311yescharacteristic
1630C22C43×#58511yescharacteristic
1631C22C43×#58511yescharacteristic
1632C22C43×#58511yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—42no—
1663C2—42no—
1664C2C2×C43×#51811yescharacteristic
1665C2C43×#342811yescharacteristic
1666C2C4×H(5,𝔽2)×C4311yescharacteristic
1667C2C43×#353411yescharacteristic
1668C2C43×#354211yescharacteristic
1669C2C43×#354511yescharacteristic
1670C2C43×#356011yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutatorC22C24×C4×C43
Frattini, cosocleC23C25×C43
prime radicalC2×C43×#546C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
2. C43×#2378C2semidirect
3. C43×#2377C2semidirect
4. C43×#2376C2semidirect
5. C43×#2375C2semidirect
6. C43×#2372C2semidirect
7. C43×#2364C2semidirect
8. C43×#2363C2semidirect
9. C43×#2359C2semidirect
10. C43×#2358C2semidirect
11. C43×#2353C2semidirect
12. C43×#2353C2semidirect
13. C43×#2342C2semidirect
14. C43×#2342C2semidirect
15. C43×#2339C2semidirect
16. D4×C22⋊C4×C43C2semidirect
17. C43×#2337C2semidirect
18. C43×#2335C2semidirect
19. C43×#2333C2semidirect
20. C43×#2332C2semidirect
21. C43×#2325C2semidirect
22. C43×#2322C2semidirect
23. C43×#2321C2semidirect
24. C43×#2321C2semidirect
25. C43×#2319C2semidirect
26. C43×#2312C2semidirect
27. C43×#2311C2semidirect
28. C43×#2308C2semidirect
29. C4×#121×C43C2semidirect
30. C43×#2290C2semidirect
31. C2×C43×#388C2semidirect
34. C43×#546C4semidirect
48. C2×C4×D4×C43C22semidirect
49. C2×C4×D4×C43C22semidirect
50. C2×C4×D4×C43C22semidirect
51. C2×C4×D4×C43C22semidirect
52. C2×#117×C43C22semidirect
53. C2×#117×C43C22semidirect
54. C22×C4⋊C4×C43C22semidirect
61. C22×C42×C43C22semidirect
62. C43×#391C22semidirect
63. C43×#391C22semidirect
64. C43×#391C22semidirect
65. C43×#391C22semidirect
70. C43×#390C22semidirect
71. C43×#390C22semidirect
72. C43×#390C22semidirect
73. C43×#390C22semidirect
74. C43×#389C22semidirect
75. C43×#389C22semidirect
76. C43×#389C22semidirect
77. C43×#389C22semidirect
90. C43×#388C22semidirect
91. C43×#388C22semidirect
92. C43×#388C22semidirect
93. C43×#388C22semidirect
94. C43×#388C22semidirect
95. C43×#388C22semidirect
96. C43×#388C22semidirect
97. C43×#388C22semidirect
98. C43×#388C22semidirect
99. C43×#388C22semidirect
100. C43×#388C22semidirect
101. C43×#388C22semidirect
102. C43×#388C22semidirect
103. C43×#388C22semidirect
104. C43×#388C22semidirect
105. C43×#388C22semidirect
106. C43×#388C22semidirect
107. C43×#388C22semidirect
108. C43×#387C22semidirect
109. C43×#387C22semidirect
110. C43×#387C22semidirect
111. C43×#387C22semidirect
112. C43×#387C22semidirect
113. C43×#387C22semidirect
114. C43×#387C22semidirect
115. C43×#387C22semidirect
116. C43×#387C22semidirect
117. C43×#387C22semidirect
132. C43×#386C22semidirect
133. C43×#386C22semidirect
134. C43×#386C22semidirect
135. C43×#386C22semidirect
136. C43×#386C22semidirect
137. C43×#386C22semidirect
138. C43×#386C22semidirect
139. C43×#386C22semidirect
140. C43×#385C22semidirect
141. C43×#385C22semidirect
142. C43×#385C22semidirect
143. C43×#385C22semidirect
144. C43×#385C22semidirect
145. C43×#385C22semidirect
146. C43×#385C22semidirect
147. C43×#385C22semidirect
148. C43×#383C22semidirect
151. C43×#381C22semidirect
152. C43×#381C22semidirect
153. C43×#381C22semidirect
155. C43×#380C22semidirect
156. C43×#380C22semidirect
157. C43×#380C22semidirect
158. C43×#380C22semidirect
159. C43×#380C22semidirect
160. C43×#380C22semidirect
165. C4×C4⋊C4×C43C22semidirect
166. C4×C4⋊C4×C43C22semidirect
167. C4×C4⋊C4×C43C22semidirect
169. C4×C22⋊C4×C43C22semidirect
170. C4×C22⋊C4×C43C22semidirect
171. C4×C22⋊C4×C43C22semidirect
172. C4×C22⋊C4×C43C22semidirect
173. C4×C22⋊C4×C43C22semidirect
174. C4×C22⋊C4×C43C22semidirect
175. C4×C22⋊C4×C43C22semidirect
176. C4×C22⋊C4×C43C22semidirect
177. C4×C22⋊C4×C43C22semidirect
178. C4×C22⋊C4×C43C22semidirect
179. C4×C22⋊C4×C43C22semidirect
180. C4×C22⋊C4×C43C22semidirect
181. C4×C22⋊C4×C43C22semidirect
182. C4×C22⋊C4×C43C22semidirect
183. C43×#376C22semidirect
184. C43×#376C22semidirect
185. C2×#95×C43C22semidirect
186. C2×#95×C43C22semidirect
187. C2×#95×C43C22semidirect
192. C2×#41×C43C2×C4semidirect
196. C22×D4×C43C2×C4semidirect
222. #124×C43C2×C4semidirect
223. #123×C43C2×C4semidirect
224. #123×C43C2×C4semidirect
225. C22⋊Q8×C43C2×C4semidirect
226. #121×C43C2×C4semidirect
227. #121×C43C2×C4semidirect
228. #121×C43C2×C4semidirect
229. #120×C43C2×C4semidirect
230. #120×C43C2×C4semidirect
237. C4×D4×C43C2×C4semidirect
238. C4×D4×C43C2×C4semidirect
266. C2×C22⋊C4×C43C2×C4semidirect
267. C2×C22⋊C4×C43C2×C4semidirect
746. #34492C43direct (N × H)
824. #2378C2×C43semidirect
825. #2377C2×C43semidirect
826. #2376C2×C43semidirect
827. #2375C2×C43semidirect
828. #2372C2×C43semidirect
829. #2364C2×C43semidirect
830. #2363C2×C43semidirect
831. #2359C2×C43semidirect
832. #2358C2×C43semidirect
833. #2353C2×C43semidirect
834. #2353C2×C43semidirect
835. #2342C2×C43semidirect
836. #2342C2×C43semidirect
837. #2339C2×C43semidirect
838. D4×C22⋊C4C2×C43semidirect
839. #2337C2×C43semidirect
840. #2335C2×C43semidirect
841. #2333C2×C43semidirect
842. #2332C2×C43semidirect
843. #2325C2×C43semidirect
844. #2322C2×C43semidirect
845. #2321C2×C43semidirect
846. #2321C2×C43semidirect
847. #2319C2×C43semidirect
848. #2312C2×C43semidirect
849. #2311C2×C43semidirect
850. #2308C2×C43semidirect
851. C4×#121C2×C43semidirect
852. #2290C2×C43semidirect
853. C2×#388C2×C43semidirect
869. #546C4×C43semidirect
883. C2×C4×D4C22×C43semidirect
884. C2×C4×D4C22×C43semidirect
885. C2×C4×D4C22×C43semidirect
886. C2×C4×D4C22×C43semidirect
887. C2×#117C22×C43semidirect
888. C2×#117C22×C43semidirect
889. C22×C4⋊C4C22×C43semidirect
896. C22×C42C22×C43semidirect
897. #391C22×C43semidirect
898. #391C22×C43semidirect
899. #391C22×C43semidirect
900. #391C22×C43semidirect
905. #390C22×C43semidirect
906. #390C22×C43semidirect
907. #390C22×C43semidirect
908. #390C22×C43semidirect
909. #389C22×C43semidirect
910. #389C22×C43semidirect
911. #389C22×C43semidirect
912. #389C22×C43semidirect
925. #388C22×C43semidirect
926. #388C22×C43semidirect
927. #388C22×C43semidirect
928. #388C22×C43semidirect
929. #388C22×C43semidirect
930. #388C22×C43semidirect
931. #388C22×C43semidirect
932. #388C22×C43semidirect
933. #388C22×C43semidirect
934. #388C22×C43semidirect
935. #388C22×C43semidirect
936. #388C22×C43semidirect
937. #388C22×C43semidirect
938. #388C22×C43semidirect
939. #388C22×C43semidirect
940. #388C22×C43semidirect
941. #388C22×C43semidirect
942. #388C22×C43semidirect
943. #387C22×C43semidirect
944. #387C22×C43semidirect
945. #387C22×C43semidirect
946. #387C22×C43semidirect
947. #387C22×C43semidirect
948. #387C22×C43semidirect
949. #387C22×C43semidirect
950. #387C22×C43semidirect
951. #387C22×C43semidirect
952. #387C22×C43semidirect
967. #386C22×C43semidirect
968. #386C22×C43semidirect
969. #386C22×C43semidirect
970. #386C22×C43semidirect
971. #386C22×C43semidirect
972. #386C22×C43semidirect
973. #386C22×C43semidirect
974. #386C22×C43semidirect
975. #385C22×C43semidirect
976. #385C22×C43semidirect
977. #385C22×C43semidirect
978. #385C22×C43semidirect
979. #385C22×C43semidirect
980. #385C22×C43semidirect
981. #385C22×C43semidirect
982. #385C22×C43semidirect
983. #383C22×C43semidirect
986. #381C22×C43semidirect
987. #381C22×C43semidirect
988. #381C22×C43semidirect
990. #380C22×C43semidirect
991. #380C22×C43semidirect
992. #380C22×C43semidirect
993. #380C22×C43semidirect
994. #380C22×C43semidirect
995. #380C22×C43semidirect
1000. C4×C4⋊C4C22×C43semidirect
1001. C4×C4⋊C4C22×C43semidirect
1002. C4×C4⋊C4C22×C43semidirect
1004. C4×C22⋊C4C22×C43semidirect
1005. C4×C22⋊C4C22×C43semidirect
1006. C4×C22⋊C4C22×C43semidirect
1007. C4×C22⋊C4C22×C43semidirect
1008. C4×C22⋊C4C22×C43semidirect
1009. C4×C22⋊C4C22×C43semidirect
1010. C4×C22⋊C4C22×C43semidirect
1011. C4×C22⋊C4C22×C43semidirect
1012. C4×C22⋊C4C22×C43semidirect
1013. C4×C22⋊C4C22×C43semidirect
1014. C4×C22⋊C4C22×C43semidirect
1015. C4×C22⋊C4C22×C43semidirect
1016. C4×C22⋊C4C22×C43semidirect
1017. C4×C22⋊C4C22×C43semidirect
1018. #376C22×C43semidirect
1019. #376C22×C43semidirect
1020. C2×#95C22×C43semidirect
1021. C2×#95C22×C43semidirect
1022. C2×#95C22×C43semidirect
1023. C43#34492direct (N × H)
1028. C2×#41C2×C4×C43semidirect
1032. C22×D4C2×C4×C43semidirect
1058. #124C2×C4×C43semidirect
1059. #123C2×C4×C43semidirect
1060. #123C2×C4×C43semidirect
1061. C22⋊Q8C2×C4×C43semidirect
1062. #121C2×C4×C43semidirect
1063. #121C2×C4×C43semidirect
1064. #121C2×C4×C43semidirect
1065. #120C2×C4×C43semidirect
1066. #120C2×C4×C43semidirect
1073. C4×D4C2×C4×C43semidirect
1074. C4×D4C2×C4×C43semidirect
1102. C2×C22⋊C4C2×C4×C43semidirect
1103. C2×C22⋊C4C2×C4×C43semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#5462
C43×#23782
C43×#23772
C43×#23762
C43×#23752
C43×#23722
C43×#23642
C43×#23632
C43×#23592
C43×#23582
C43×#23532
C43×#23422
C43×#23392
D4×C22⋊C4×C432
C43×#23372
C43×#23352
C43×#23332
C43×#23322
C43×#23252
C43×#23222
C43×#23212
C43×#23192
C43×#23122
C43×#23112
C43×#23082
C4×#121×C432
C43×#22902
C2×C43×#3882
#3449243