Finite Group Databasebeta

← C3×#36227 #10654834

Subgroups — C3×#36227 #10654834

Order 768.

2444 conjugacy classes of subgroups.

The subgroup lattice has 1550 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#552C211yesmaximal, characteristic, complemented
2C2×C3×C4×#41C211yesmaximal, characteristic, complemented
3C3×#2853C211yesmaximal, characteristic, complemented
4C3×#2852C211yesmaximal, characteristic, complemented
5C3×#2851C211yesmaximal, characteristic, complemented
6C3×#2611C211yesmaximal, characteristic, complemented
7C3×#2609C211yesmaximal, characteristic, complemented
8C3×#2601C211yesmaximal, characteristic, complemented
9C3×#2599C211yesmaximal, characteristic, complemented
10C3×#2469C211yesmaximal, characteristic, complemented
11C3×#2467C211yesmaximal, characteristic, complemented
12C3×#2465C211yesmaximal, characteristic, complemented
13C3×#2463C211yesmaximal, characteristic, complemented
14C3×#2462C211yesmaximal, characteristic, complemented
15C3×#2462C211yesmaximal, characteristic, complemented
16C3×#2460C211yesmaximal, characteristic, complemented
17C3×#2460C211yesmaximal, characteristic, complemented
18C3×#2450C211yesmaximal, characteristic, complemented
19C3×#2449C211yesmaximal, characteristic, complemented
20C3×#2430C211yesmaximal, characteristic
21C3×#2425C211yesmaximal, characteristic, complemented
22C3×#2425C211yesmaximal, characteristic, complemented
23C3×#2406C211yesmaximal, characteristic, complemented
24C3×#2364C211yesmaximal, characteristic, complemented
25C3×#2361C211yesmaximal, characteristic, complemented
26C3×#2359C211yesmaximal, characteristic, complemented
27C3×#2359C211yesmaximal, characteristic, complemented
28C3×#2343C211yesmaximal, characteristic, complemented
29C3×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
30C3×#2290C211yesmaximal, characteristic, complemented
31C2×C3×#387C211yesmaximal, characteristic, complemented
32#36227C311yesmaximal, characteristic, direct product factor, Sylow
33C22×C3×#41C2211yescharacteristic
34C3×#552—28no—
35C2×C3×#126C2211yescharacteristic
36C2×C3×#126C2211yescharacteristic
37C2×C3×#125C2211yescharacteristic
38C2×C3×#125C2211yescharacteristic
39C2×C3×#125C2211yescharacteristic
40C2×C3×#123C2211yescharacteristic
41C2×C3×#123C2211yescharacteristic
42C2×C3×#123C2211yescharacteristic
43C2×C3×#123C2211yescharacteristic
44C2×C3×C22⋊Q8C2211yescharacteristic
45C2×C3×C22⋊Q8C2211yescharacteristic
46C2×C3×C22⋊Q8C2211yescharacteristic
47C2×C3×#121C2211yescharacteristic
48C2×C3×#121C2211yescharacteristic
49C3×C4×#41—28no—
50C2×C3×C4×Q8C2211yescharacteristic
51C2×C3×C4×Q8C2211yescharacteristic
52C2×C3×C4×Q8C2211yescharacteristic
53C2×C3×C4×D4C2211yescharacteristic
54C2×C3×C4×D4C2211yescharacteristic
55C2×C3×C4×D4C2211yescharacteristic
56C2×C3×C4×D4C2211yescharacteristic
57C2×C3×C4×D4C2211yescharacteristic
58C2×C3×C4×D4C2211yescharacteristic
59C2×C3×C4×D4C2211yescharacteristic
60C2×C3×C4×D4C2211yescharacteristic
61C2×C3×#117C2211yescharacteristic
62C2×C3×#117C2211yescharacteristic
63C2×C3×#117C2211yescharacteristic
64C2×C3×#117C2211yescharacteristic
65C2×C3×#117C2211yescharacteristic
66C22×C3×C4⋊C4C2211yescharacteristic
67C22×C3×C4⋊C4C2211yescharacteristic
68C22×C3×C42C2211yescharacteristic
69C22×C3×C42C2211yescharacteristic
70C22×C3×C42C2211yescharacteristic
71C3×#400C2211yescharacteristic
72C3×#399C2211yescharacteristic
73C3×#398C2211yescharacteristic
74C3×#398C2211yescharacteristic
75C3×#398C2211yescharacteristic
76C3×#398C2211yescharacteristic
77C3×#397C2211yescharacteristic
78C3×#397C2211yescharacteristic
79C3×#396C2211yescharacteristic
80C3×#396C2211yescharacteristic
81C3×#396C2211yescharacteristic
82C3×#396C2211yescharacteristic
83C3×#395C2211yescharacteristic
84C3×#395C2211yescharacteristic
85C3×#395C2211yescharacteristic
86C3×#395C2211yescharacteristic
87C3×#394C2211yescharacteristic
88C3×#394C2211yescharacteristic
89C3×#394C2211yescharacteristic
90C3×#394C2211yescharacteristic
91C3×#394C2211yescharacteristic
92C3×#393C2211yescharacteristic
93C3×#393C2211yescharacteristic
94C3×#392C2211yescharacteristic
95C3×#391C2211yescharacteristic
96C3×#390C2211yescharacteristic
97C3×#389C2211yescharacteristic
98C3×#389C2211yescharacteristic
99C3×#389C2211yescharacteristic
100C3×#389C2211yescharacteristic
101C3×#389C2211yescharacteristic
102C3×#389C2211yescharacteristic
103C3×#388C2211yescharacteristic
104C3×#388C2211yescharacteristic
105C3×#388C2211yescharacteristic
106C3×#388C2211yescharacteristic
107C3×#388C2211yescharacteristic
108C3×#388C2211yescharacteristic
109C3×#388C2211yescharacteristic
110C3×#388C2211yescharacteristic
111C3×#388C2211yescharacteristic
112C3×#388C2211yescharacteristic
113C3×#388C2211yescharacteristic
114C3×#388C2211yescharacteristic
115C3×#388C2211yescharacteristic
116C3×#388C2211yescharacteristic
117C3×#387C2211yescharacteristic
118C3×#387C2211yescharacteristic
119C3×#387C2211yescharacteristic
120C3×#387C2211yescharacteristic
121C3×#387C2211yescharacteristic
122C3×#387C2211yescharacteristic
123C3×#387C2211yescharacteristic
124C3×#387C2211yescharacteristic
125C3×#387C2211yescharacteristic
126C3×#387C2211yescharacteristic
127C3×#387C2211yescharacteristic
128C3×#387C2211yescharacteristic
129C3×#387C2211yescharacteristic
130C3×#387C2211yescharacteristic
131C3×#387C2211yescharacteristic
132C3×#387C2211yescharacteristic
133C3×#387C2211yescharacteristic
134C3×#387C2211yescharacteristic
135C3×#387C2211yescharacteristic
136C3×#387C2211yescharacteristic
137C3×#387C2211yescharacteristic
138C3×#387C2211yescharacteristic
139C3×#387C2211yescharacteristic
140C3×#387C2211yescharacteristic
141C3×#386C2211yescharacteristic
142C3×#386C2211yescharacteristic
143C3×#386C2211yescharacteristic
144C3×#386C2211yescharacteristic
145C3×#386C2211yescharacteristic
146C3×#386C2211yescharacteristic
147C3×#386C2211yescharacteristic
148C3×#386C2211yescharacteristic
149C3×#386C2211yescharacteristic
150C3×#386C2211yescharacteristic
151C3×#386C2211yescharacteristic
152C3×#386C2211yescharacteristic
153C3×#385C2211yescharacteristic
154C3×#385C2211yescharacteristic
155C3×#385C2211yescharacteristic
156C3×#385C2211yescharacteristic
157C3×#385C2211yescharacteristic
158C3×#385C2211yescharacteristic
159C3×#385C2211yescharacteristic
160C3×#385C2211yescharacteristic
161C3×#385C2211yescharacteristic
162C3×#385C2211yescharacteristic
163C3×#385C2211yescharacteristic
164C3×#385C2211yescharacteristic
165C3×#385C2211yescharacteristic
166C3×#385C2211yescharacteristic
167C3×#385C2211yescharacteristic
168C3×#385C2211yescharacteristic
169C3×#383C2211yescharacteristic
170C3×#382C2211yescharacteristic
171C3×#381C2211yescharacteristic
172C3×#380C2211yescharacteristic
173C3×#380C2211yescharacteristic
174C3×#380C2211yescharacteristic
175C3×C4×C4⋊C4C2211yescharacteristic
176C3×C4×C4⋊C4C2211yescharacteristic
177C3×C4×C4⋊C4C2211yescharacteristic
178C3×C4×C4⋊C4C2211yescharacteristic
179C3×C4×C22⋊C4C2211yescharacteristic
180C3×C4×C22⋊C4C2211yescharacteristic
181C3×C4×C22⋊C4C2211yescharacteristic
182C3×C4×C22⋊C4C2211yescharacteristic
183C3×C4×C22⋊C4C2211yescharacteristic
184C3×C4×C22⋊C4C2211yescharacteristic
185C3×#376C2211yescharacteristic
186C2×C3×#95C2211yescharacteristic
187C2×C3×#95C2211yescharacteristic
188C2×C3×#95C2211yescharacteristic
189C2×C3×#95C2211yescharacteristic
190C2×#552C2×C311yescharacteristic, complemented
191C2×C4×#41C2×C311yescharacteristic, complemented
192#2853C2×C311yescharacteristic, complemented
193#2852C2×C311yescharacteristic, complemented
194#2851C2×C311yescharacteristic, complemented
195#2611C2×C311yescharacteristic, complemented
196#2609C2×C311yescharacteristic, complemented
197#2601C2×C311yescharacteristic, complemented
198#2599C2×C311yescharacteristic, complemented
199#2469C2×C311yescharacteristic, complemented
200#2467C2×C311yescharacteristic, complemented
201#2465C2×C311yescharacteristic, complemented
202#2463C2×C311yescharacteristic, complemented
203#2462C2×C311yescharacteristic, complemented
204#2462C2×C311yescharacteristic, complemented
205#2460C2×C311yescharacteristic, complemented
206#2460C2×C311yescharacteristic, complemented
207#2450C2×C311yescharacteristic, complemented
208#2449C2×C311yescharacteristic, complemented
209#2430C2×C311yescharacteristic
210#2425C2×C311yescharacteristic, complemented
211#2425C2×C311yescharacteristic, complemented
212#2406C2×C311yescharacteristic, complemented
213#2364C2×C311yescharacteristic, complemented
214#2361C2×C311yescharacteristic, complemented
215#2359C2×C311yescharacteristic, complemented
216#2359C2×C311yescharacteristic, complemented
217#2343C2×C311yescharacteristic, complemented
218C4×C22⋊Q8C2×C311yescharacteristic, complemented
219#2290C2×C311yescharacteristic, complemented
220C2×#387C2×C311yescharacteristic, complemented
221C2×C3×#41—24no—
222C2×C3×#41—24no—
223C2×C3×#41—24no—
224C22×C3×Q8C2311yescharacteristic
225C22×C3×Q8C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C23×C3×C4C2311yescharacteristic
245C23×C3×C4C2311yescharacteristic
246C3×#126—24no—
247C3×#126—24no—
248C3×#125—24no—
249C3×#125—24no—
250C3×#125—24no—
251C3×#123—24no—
252C3×#123—24no—
253C3×#123—24no—
254C3×#123—24no—
255C3×C22⋊Q8—24no—
256C3×C22⋊Q8—24no—
257C3×C22⋊Q8—24no—
258C3×#121—24no—
259C3×#121—24no—
260C3×C4×Q8—24no—
261C3×C4×Q8—24no—
262C3×C4×Q8—24no—
263C3×C4×D4—24no—
264C3×C4×D4—24no—
265C3×C4×D4—24no—
266C3×C4×D4—24no—
267C3×C4×D4—24no—
268C3×C4×D4—24no—
269C3×C4×D4—24no—
270C3×C4×D4—24no—
271C3×#117—24no—
272C3×#117—24no—
273C3×#117—24no—
274C3×#117—24no—
275C3×#117D418yescomplemented
276C2×C3×C4⋊C4—24no—
277C2×C3×C4⋊C4—24no—
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C4⋊C4C2311yescharacteristic
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C4⋊C4C2311yescharacteristic
294C2×C3×C4⋊C4C2311yescharacteristic
295C2×C3×C4⋊C4C2311yescharacteristic
296C2×C3×C4⋊C4C2311yescharacteristic
297C2×C3×C4⋊C4C2311yescharacteristic
298C2×C3×C4⋊C4C2311yescharacteristic
299C2×C3×C4⋊C4C2311yescharacteristic
300C2×C3×C4⋊C4C2311yescharacteristic
301C2×C3×C4⋊C4C2311yescharacteristic
302C2×C3×C4⋊C4C2311yescharacteristic
303C2×C3×C4⋊C4C2311yescharacteristic
304C2×C3×C4⋊C4C2311yescharacteristic
305C2×C3×C4⋊C4C2311yescharacteristic
306C2×C3×C4⋊C4C2311yescharacteristic
307C2×C3×C4⋊C4C2311yescharacteristic
308C2×C3×C4⋊C4C2311yescharacteristic
309C2×C3×C4⋊C4C2311yescharacteristic
310C2×C3×C4⋊C4C2311yescharacteristic
311C2×C3×C4⋊C4C2311yescharacteristic
312C2×C3×C4⋊C4C2311yescharacteristic
313C2×C3×C4⋊C4C2311yescharacteristic
314C2×C3×C4⋊C4C2311yescharacteristic
315C2×C3×C4⋊C4C2311yescharacteristic
316C2×C3×C22⋊C4C2311yescharacteristic
317C2×C3×C22⋊C4C2311yescharacteristic
318C2×C3×C22⋊C4C2311yescharacteristic
319C2×C3×C22⋊C4C2311yescharacteristic
320C2×C3×C22⋊C4C2311yescharacteristic
321C2×C3×C22⋊C4C2311yescharacteristic
322C2×C3×C22⋊C4C2311yescharacteristic
323C2×C3×C22⋊C4C2311yescharacteristic
324C2×C3×C22⋊C4C2311yescharacteristic
325C2×C3×C22⋊C4C2311yescharacteristic
326C2×C3×C22⋊C4C2311yescharacteristic
327C2×C3×C22⋊C4C2311yescharacteristic
328C2×C3×C22⋊C4C2311yescharacteristic
329C2×C3×C22⋊C4C2311yescharacteristic
330C2×C3×C22⋊C4C2311yescharacteristic
331C2×C3×C22⋊C4C2311yescharacteristic
332C2×C3×C22⋊C4C2311yescharacteristic
333C2×C3×C22⋊C4C2311yescharacteristic
334C2×C3×C22⋊C4C2311yescharacteristic
335C2×C3×C22⋊C4C2311yescharacteristic
336C2×C3×C22⋊C4C2311yescharacteristic
337C2×C3×C22⋊C4C2311yescharacteristic
338C2×C3×C22⋊C4C2311yescharacteristic
339C2×C3×C22⋊C4C2311yescharacteristic
340C2×C3×C22⋊C4C2311yescharacteristic
341C2×C3×C22⋊C4C2311yescharacteristic
342C2×C3×C22⋊C4C2311yescharacteristic
343C2×C3×C22⋊C4C2311yescharacteristic
344C2×C3×C22⋊C4C2311yescharacteristic
345C2×C3×C22⋊C4C2311yescharacteristic
346C2×C3×C22⋊C4C2311yescharacteristic
347C2×C3×C22⋊C4C2311yescharacteristic
348C2×C3×C22⋊C4C2311yescharacteristic
349C2×C3×C22⋊C4C2311yescharacteristic
350C2×C3×C42—24no—
351C2×C3×C42—24no—
352C2×C3×C42—24no—
353C2×C3×C42C2311yescharacteristic
354C2×C3×C42C2311yescharacteristic
355C2×C3×C42C2311yescharacteristic
356C2×C3×C42C2311yescharacteristic
357C2×C3×C42C2311yescharacteristic
358C2×C3×C42C2311yescharacteristic
359C2×C3×C42C2311yescharacteristic
360C2×C3×C42C2311yescharacteristic
361C2×C3×C42C2311yescharacteristic
362C2×C3×C42C2311yescharacteristic
363C2×C3×C42C2311yescharacteristic
364C2×C3×C42C2311yescharacteristic
365C2×C3×C42C2311yescharacteristic
366C2×C3×C42C2311yescharacteristic
367C2×C3×C42C2311yescharacteristic
368C2×C3×C42C2311yescharacteristic
369C2×C3×C42C2311yescharacteristic
370C3×#95C2311yescharacteristic
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
374C3×#95C2311yescharacteristic
375C3×#95C2311yescharacteristic
376C3×#95C2311yescharacteristic
377C3×#95C2311yescharacteristic
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
396C3×#95C2311yescharacteristic
397C3×#95C2311yescharacteristic
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
411C3×#95C2311yescharacteristic
412C3×#95C2311yescharacteristic
413C3×#95C2311yescharacteristic
414C22×#41C22×C311yescharacteristic
415#552—28no—
416C2×#126C22×C311yescharacteristic
417C2×#126C22×C311yescharacteristic
418C2×#125C22×C311yescharacteristic
419C2×#125C22×C311yescharacteristic
420C2×#125C22×C311yescharacteristic
421C2×#123C22×C311yescharacteristic
422C2×#123C22×C311yescharacteristic
423C2×#123C22×C311yescharacteristic
424C2×#123C22×C311yescharacteristic
425C2×C22⋊Q8C22×C311yescharacteristic
426C2×C22⋊Q8C22×C311yescharacteristic
427C2×C22⋊Q8C22×C311yescharacteristic
428C2×#121C22×C311yescharacteristic
429C2×#121C22×C311yescharacteristic
430C4×#41—28no—
431C2×C4×Q8C22×C311yescharacteristic
432C2×C4×Q8C22×C311yescharacteristic
433C2×C4×Q8C22×C311yescharacteristic
434C2×C4×D4C22×C311yescharacteristic
435C2×C4×D4C22×C311yescharacteristic
436C2×C4×D4C22×C311yescharacteristic
437C2×C4×D4C22×C311yescharacteristic
438C2×C4×D4C22×C311yescharacteristic
439C2×C4×D4C22×C311yescharacteristic
440C2×C4×D4C22×C311yescharacteristic
441C2×C4×D4C22×C311yescharacteristic
442C2×#117C22×C311yescharacteristic
443C2×#117C22×C311yescharacteristic
444C2×#117C22×C311yescharacteristic
445C2×#117C22×C311yescharacteristic
446C2×#117C22×C311yescharacteristic
447C22×C4⋊C4C22×C311yescharacteristic
448C22×C4⋊C4C22×C311yescharacteristic
449C22×C42C22×C311yescharacteristic
450C22×C42C22×C311yescharacteristic
451C22×C42C22×C311yescharacteristic
452#400C22×C311yescharacteristic
453#399C22×C311yescharacteristic
454#398C22×C311yescharacteristic
455#398C22×C311yescharacteristic
456#398C22×C311yescharacteristic
457#398C22×C311yescharacteristic
458#397C22×C311yescharacteristic
459#397C22×C311yescharacteristic
460#396C22×C311yescharacteristic
461#396C22×C311yescharacteristic
462#396C22×C311yescharacteristic
463#396C22×C311yescharacteristic
464#395C22×C311yescharacteristic
465#395C22×C311yescharacteristic
466#395C22×C311yescharacteristic
467#395C22×C311yescharacteristic
468#394C22×C311yescharacteristic
469#394C22×C311yescharacteristic
470#394C22×C311yescharacteristic
471#394C22×C311yescharacteristic
472#394C22×C311yescharacteristic
473#393C22×C311yescharacteristic
474#393C22×C311yescharacteristic
475#392C22×C311yescharacteristic
476#391C22×C311yescharacteristic
477#390C22×C311yescharacteristic
478#389C22×C311yescharacteristic
479#389C22×C311yescharacteristic
480#389C22×C311yescharacteristic
481#389C22×C311yescharacteristic
482#389C22×C311yescharacteristic
483#389C22×C311yescharacteristic
484#388C22×C311yescharacteristic
485#388C22×C311yescharacteristic
486#388C22×C311yescharacteristic
487#388C22×C311yescharacteristic
488#388C22×C311yescharacteristic
489#388C22×C311yescharacteristic
490#388C22×C311yescharacteristic
491#388C22×C311yescharacteristic
492#388C22×C311yescharacteristic
493#388C22×C311yescharacteristic
494#388C22×C311yescharacteristic
495#388C22×C311yescharacteristic
496#388C22×C311yescharacteristic
497#388C22×C311yescharacteristic
498#387C22×C311yescharacteristic
499#387C22×C311yescharacteristic
500#387C22×C311yescharacteristic
501#387C22×C311yescharacteristic
502#387C22×C311yescharacteristic
503#387C22×C311yescharacteristic
504#387C22×C311yescharacteristic
505#387C22×C311yescharacteristic
506#387C22×C311yescharacteristic
507#387C22×C311yescharacteristic
508#387C22×C311yescharacteristic
509#387C22×C311yescharacteristic
510#387C22×C311yescharacteristic
511#387C22×C311yescharacteristic
512#387C22×C311yescharacteristic
513#387C22×C311yescharacteristic
514#387C22×C311yescharacteristic
515#387C22×C311yescharacteristic
516#387C22×C311yescharacteristic
517#387C22×C311yescharacteristic
518#387C22×C311yescharacteristic
519#387C22×C311yescharacteristic
520#387C22×C311yescharacteristic
521#387C22×C311yescharacteristic
522#386C22×C311yescharacteristic
523#386C22×C311yescharacteristic
524#386C22×C311yescharacteristic
525#386C22×C311yescharacteristic
526#386C22×C311yescharacteristic
527#386C22×C311yescharacteristic
528#386C22×C311yescharacteristic
529#386C22×C311yescharacteristic
530#386C22×C311yescharacteristic
531#386C22×C311yescharacteristic
532#386C22×C311yescharacteristic
533#386C22×C311yescharacteristic
534#385C22×C311yescharacteristic
535#385C22×C311yescharacteristic
536#385C22×C311yescharacteristic
537#385C22×C311yescharacteristic
538#385C22×C311yescharacteristic
539#385C22×C311yescharacteristic
540#385C22×C311yescharacteristic
541#385C22×C311yescharacteristic
542#385C22×C311yescharacteristic
543#385C22×C311yescharacteristic
544#385C22×C311yescharacteristic
545#385C22×C311yescharacteristic
546#385C22×C311yescharacteristic
547#385C22×C311yescharacteristic
548#385C22×C311yescharacteristic
549#385C22×C311yescharacteristic
550#383C22×C311yescharacteristic
551#382C22×C311yescharacteristic
552#381C22×C311yescharacteristic
553#380C22×C311yescharacteristic
554#380C22×C311yescharacteristic
555#380C22×C311yescharacteristic
556C4×C4⋊C4C22×C311yescharacteristic
557C4×C4⋊C4C22×C311yescharacteristic
558C4×C4⋊C4C22×C311yescharacteristic
559C4×C4⋊C4C22×C311yescharacteristic
560C4×C22⋊C4C22×C311yescharacteristic
561C4×C22⋊C4C22×C311yescharacteristic
562C4×C22⋊C4C22×C311yescharacteristic
563C4×C22⋊C4C22×C311yescharacteristic
564C4×C22⋊C4C22×C311yescharacteristic
565C4×C22⋊C4C22×C311yescharacteristic
566#376C22×C311yescharacteristic
567C2×#95C22×C311yescharacteristic
568C2×#95C22×C311yescharacteristic
569C2×#95C22×C311yescharacteristic
570C2×#95C22×C311yescharacteristic
571C24×C3C2411yescharacteristic
572C24×C3C2411yescharacteristic
573C24×C3C2411yescharacteristic
574C24×C3C2411yescharacteristic
575C3×#41—232no—
576C2×C3×Q8—22no—
577C2×C3×Q8—22no—
578C2×C3×Q8—22no—
579C2×C3×Q8—22no—
580C2×C3×Q8—22no—
581C2×C3×Q8—41no—
582C2×C3×D4—22no—
583C2×C3×D4—22no—
584C2×C3×D4—22no—
585C2×C3×D4—22no—
586C2×C3×D4—22no—
587C2×C3×D4—22no—
588C2×C3×D4—22no—
589C2×C3×D4—22no—
590C2×C3×D4—22no—
591C2×C3×D4—22no—
592C2×C3×D4—22no—
593C2×C3×D4—22no—
594C2×C3×D4—22no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4#4114yes—
599C2×C3×D4#4114yes—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—22no—
607C22×C3×C4—22no—
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—22no—
623C22×C3×C4—22no—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—22no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4C2×D414yes—
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
665C22×C3×C4C2411yescharacteristic
666C22×C3×C4C2411yescharacteristic
667C22×C3×C4C2411yescharacteristic
668C22×C3×C4C2411yescharacteristic
669C3×C4⋊C4—22no—
670C3×C4⋊C4—22no—
671C3×C4⋊C4—22no—
672C3×C4⋊C4—22no—
673C3×C4⋊C4—22no—
674C3×C4⋊C4—22no—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—22no—
677C3×C4⋊C4—22no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—22no—
683C3×C4⋊C4—22no—
684C3×C4⋊C4—22no—
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—22no—
689C3×C4⋊C4—22no—
690C3×C4⋊C4—22no—
691C3×C4⋊C4—22no—
692C3×C4⋊C4—22no—
693C3×C4⋊C4—22no—
694C3×C4⋊C4—22no—
695C3×C4⋊C4—22no—
696C3×C4⋊C4—22no—
697C3×C4⋊C4—22no—
698C3×C4⋊C4—22no—
699C3×C4⋊C4—41no—
700C3×C4⋊C4—41no—
701C3×C4⋊C4—41no—
702C3×C4⋊C4—41no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4C2×D414yes—
705C3×C4⋊C4C2×D414yes—
706C3×C4⋊C4#4114yescomplemented
707C3×C22⋊C4—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—22no—
730C3×C22⋊C4—22no—
731C3×C22⋊C4—22no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C22⋊C4—41no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4C2×D414yes—
740C3×C22⋊C4C2×D414yes—
741C3×C42—22no—
742C3×C42—22no—
743C3×C42—22no—
744C3×C42—22no—
745C3×C42—22no—
746C3×C42—22no—
747C3×C42—22no—
748C3×C42—22no—
749C3×C42—22no—
750C3×C42—22no—
751C3×C42—22no—
752C3×C42—22no—
753C3×C42—41no—
754C3×C42—41no—
755C3×C42—41no—
756C3×C42C2×D414yes—
757C3×C42C2×D414yes—
758C2×#41—24no—
759C2×#41—24no—
760C2×#41—24no—
761C22×Q8C23×C311yescharacteristic
762C22×Q8C23×C311yescharacteristic
763C22×D4C23×C311yescharacteristic
764C22×D4C23×C311yescharacteristic
765C22×D4C23×C311yescharacteristic
766C22×D4C23×C311yescharacteristic
767C22×D4C23×C311yescharacteristic
768C22×D4C23×C311yescharacteristic
769C23×C4C23×C311yescharacteristic
770C23×C4C23×C311yescharacteristic
771C23×C4C23×C311yescharacteristic
772C23×C4C23×C311yescharacteristic
773C23×C4C23×C311yescharacteristic
774C23×C4C23×C311yescharacteristic
775C23×C4C23×C311yescharacteristic
776C23×C4C23×C311yescharacteristic
777C23×C4C23×C311yescharacteristic
778C23×C4C23×C311yescharacteristic
779C23×C4C23×C311yescharacteristic
780C23×C4C23×C311yescharacteristic
781C23×C4C23×C311yescharacteristic
782C23×C4C23×C311yescharacteristic
783#126—24no—
784#126—24no—
785#125—24no—
786#125—24no—
787#125—24no—
788#123—24no—
789#123—24no—
790#123—24no—
791#123—24no—
792C22⋊Q8—24no—
793C22⋊Q8—24no—
794C22⋊Q8—24no—
795#121—24no—
796#121—24no—
797C4×Q8—24no—
798C4×Q8—24no—
799C4×Q8—24no—
800C4×D4—24no—
801C4×D4—24no—
802C4×D4—24no—
803C4×D4—24no—
804C4×D4—24no—
805C4×D4—24no—
806C4×D4—24no—
807C4×D4—24no—
808#117—24no—
809#117—24no—
810#117—24no—
811#117—24no—
812#117C3×D418yescomplemented
813C2×C4⋊C4—24no—
814C2×C4⋊C4—24no—
815C2×C4⋊C4C23×C311yescharacteristic
816C2×C4⋊C4C23×C311yescharacteristic
817C2×C4⋊C4C23×C311yescharacteristic
818C2×C4⋊C4C23×C311yescharacteristic
819C2×C4⋊C4C23×C311yescharacteristic
820C2×C4⋊C4C23×C311yescharacteristic
821C2×C4⋊C4C23×C311yescharacteristic
822C2×C4⋊C4C23×C311yescharacteristic
823C2×C4⋊C4C23×C311yescharacteristic
824C2×C4⋊C4C23×C311yescharacteristic
825C2×C4⋊C4C23×C311yescharacteristic
826C2×C4⋊C4C23×C311yescharacteristic
827C2×C4⋊C4C23×C311yescharacteristic
828C2×C4⋊C4C23×C311yescharacteristic
829C2×C4⋊C4C23×C311yescharacteristic
830C2×C4⋊C4C23×C311yescharacteristic
831C2×C4⋊C4C23×C311yescharacteristic
832C2×C4⋊C4C23×C311yescharacteristic
833C2×C4⋊C4C23×C311yescharacteristic
834C2×C4⋊C4C23×C311yescharacteristic
835C2×C4⋊C4C23×C311yescharacteristic
836C2×C4⋊C4C23×C311yescharacteristic
837C2×C4⋊C4C23×C311yescharacteristic
838C2×C4⋊C4C23×C311yescharacteristic
839C2×C4⋊C4C23×C311yescharacteristic
840C2×C4⋊C4C23×C311yescharacteristic
841C2×C4⋊C4C23×C311yescharacteristic
842C2×C4⋊C4C23×C311yescharacteristic
843C2×C4⋊C4C23×C311yescharacteristic
844C2×C4⋊C4C23×C311yescharacteristic
845C2×C4⋊C4C23×C311yescharacteristic
846C2×C4⋊C4C23×C311yescharacteristic
847C2×C4⋊C4C23×C311yescharacteristic
848C2×C4⋊C4C23×C311yescharacteristic
849C2×C4⋊C4C23×C311yescharacteristic
850C2×C4⋊C4C23×C311yescharacteristic
851C2×C4⋊C4C23×C311yescharacteristic
852C2×C4⋊C4C23×C311yescharacteristic
853C2×C22⋊C4C23×C311yescharacteristic
854C2×C22⋊C4C23×C311yescharacteristic
855C2×C22⋊C4C23×C311yescharacteristic
856C2×C22⋊C4C23×C311yescharacteristic
857C2×C22⋊C4C23×C311yescharacteristic
858C2×C22⋊C4C23×C311yescharacteristic
859C2×C22⋊C4C23×C311yescharacteristic
860C2×C22⋊C4C23×C311yescharacteristic
861C2×C22⋊C4C23×C311yescharacteristic
862C2×C22⋊C4C23×C311yescharacteristic
863C2×C22⋊C4C23×C311yescharacteristic
864C2×C22⋊C4C23×C311yescharacteristic
865C2×C22⋊C4C23×C311yescharacteristic
866C2×C22⋊C4C23×C311yescharacteristic
867C2×C22⋊C4C23×C311yescharacteristic
868C2×C22⋊C4C23×C311yescharacteristic
869C2×C22⋊C4C23×C311yescharacteristic
870C2×C22⋊C4C23×C311yescharacteristic
871C2×C22⋊C4C23×C311yescharacteristic
872C2×C22⋊C4C23×C311yescharacteristic
873C2×C22⋊C4C23×C311yescharacteristic
874C2×C22⋊C4C23×C311yescharacteristic
875C2×C22⋊C4C23×C311yescharacteristic
876C2×C22⋊C4C23×C311yescharacteristic
877C2×C22⋊C4C23×C311yescharacteristic
878C2×C22⋊C4C23×C311yescharacteristic
879C2×C22⋊C4C23×C311yescharacteristic
880C2×C22⋊C4C23×C311yescharacteristic
881C2×C22⋊C4C23×C311yescharacteristic
882C2×C22⋊C4C23×C311yescharacteristic
883C2×C22⋊C4C23×C311yescharacteristic
884C2×C22⋊C4C23×C311yescharacteristic
885C2×C22⋊C4C23×C311yescharacteristic
886C2×C22⋊C4C23×C311yescharacteristic
887C2×C42—24no—
888C2×C42—24no—
889C2×C42—24no—
890C2×C42C23×C311yescharacteristic
891C2×C42C23×C311yescharacteristic
892C2×C42C23×C311yescharacteristic
893C2×C42C23×C311yescharacteristic
894C2×C42C23×C311yescharacteristic
895C2×C42C23×C311yescharacteristic
896C2×C42C23×C311yescharacteristic
897C2×C42C23×C311yescharacteristic
898C2×C42C23×C311yescharacteristic
899C2×C42C23×C311yescharacteristic
900C2×C42C23×C311yescharacteristic
901C2×C42C23×C311yescharacteristic
902C2×C42C23×C311yescharacteristic
903C2×C42C23×C311yescharacteristic
904C2×C42C23×C311yescharacteristic
905C2×C42C23×C311yescharacteristic
906C2×C42C23×C311yescharacteristic
907#95C23×C311yescharacteristic
908#95C23×C311yescharacteristic
909#95C23×C311yescharacteristic
910#95C23×C311yescharacteristic
911#95C23×C311yescharacteristic
912#95C23×C311yescharacteristic
913#95C23×C311yescharacteristic
914#95C23×C311yescharacteristic
915#95C23×C311yescharacteristic
916#95C23×C311yescharacteristic
917#95C23×C311yescharacteristic
918#95C23×C311yescharacteristic
919#95C23×C311yescharacteristic
920#95C23×C311yescharacteristic
921#95C23×C311yescharacteristic
922#95C23×C311yescharacteristic
923#95C23×C311yescharacteristic
924#95C23×C311yescharacteristic
925#95C23×C311yescharacteristic
926#95C23×C311yescharacteristic
927#95C23×C311yescharacteristic
928#95C23×C311yescharacteristic
929#95C23×C311yescharacteristic
930#95C23×C311yescharacteristic
931#95C23×C311yescharacteristic
932#95C23×C311yescharacteristic
933#95C23×C311yescharacteristic
934#95C23×C311yescharacteristic
935#95C23×C311yescharacteristic
936#95C23×C311yescharacteristic
937#95C23×C311yescharacteristic
938#95C23×C311yescharacteristic
939#95C23×C311yescharacteristic
940#95C23×C311yescharacteristic
941#95C23×C311yescharacteristic
942#95C23×C311yescharacteristic
943#95C23×C311yescharacteristic
944#95C23×C311yescharacteristic
945#95C23×C311yescharacteristic
946#95C23×C311yescharacteristic
947#95C23×C311yescharacteristic
948#95C23×C311yescharacteristic
949#95C23×C311yescharacteristic
950#95C23×C311yescharacteristic
951C23×C3—21no—
952C23×C3—21no—
953C23×C3—21no—
954C23×C3—21no—
955C23×C3—21no—
956C23×C3—21no—
957C23×C3—21no—
958C23×C3—21no—
959C23×C3—21no—
960C23×C3—21no—
961C23×C3—21no—
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3—21no—
967C23×C3—21no—
968C23×C3—21no—
969C23×C3—21no—
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3C22×D412yes—
975C23×C3C2×#4112yes—
976C23×C3C2×#4112yes—
977C23×C3C2×#4112yes—
978C23×C3C2×#4112yes—
979C23×C3C2511yescharacteristic
980C3×Q8—28no—
981C3×Q8—44no—
982C3×D4—28no—
983C3×D4—28no—
984C3×D4—28no—
985C3×D4—44no—
986C3×D4—44no—
987C3×D4—82no—
988C2×C3×C4—28no—
989C2×C3×C4—28no—
990C2×C3×C4—28no—
991C2×C3×C4—21no—
992C2×C3×C4—21no—
993C2×C3×C4—21no—
994C2×C3×C4—21no—
995C2×C3×C4—21no—
996C2×C3×C4—21no—
997C2×C3×C4—21no—
998C2×C3×C4—21no—
999C2×C3×C4—21no—
1000C2×C3×C4—21no—
1001C2×C3×C4—21no—
1002C2×C3×C4—21no—
1003C2×C3×C4—21no—
1004C2×C3×C4—21no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—44no—
1061C2×C3×C4—44no—
1062C2×C3×C4—44no—
1063C2×C3×C4—44no—
1064C2×C3×C4—44no—
1065C2×C3×C4—44no—
1066C2×C3×C4—44no—
1067C2×C3×C4—44no—
1068C2×C3×C4—44no—
1069C2×C3×C4—44no—
1070C2×C3×C4—82no—
1071C2×C3×C4C22×D412yes—
1072C2×C3×C4C22×D412yes—
1073C2×C3×C4C22×D412yes—
1074C2×C3×C4C22×D412yes—
1075C2×C3×C4C22×D412yes—
1076C2×C3×C4C22×D412yes—
1077C2×C3×C4C2×#4112yes—
1078C2×C3×C4C2×#4112yes—
1079C2×C3×C4C2×#4112yes—
1080C2×C3×C4C2×#4112yes—
1081C2×C3×C4C2×#4112yes—
1082C2×C3×C42−1+412yes—
1083C24C24×C311yescharacteristic
1084C24C24×C311yescharacteristic
1085C24C24×C311yescharacteristic
1086C24C24×C311yescharacteristic
1087#41—232no—
1088C2×Q8—22no—
1089C2×Q8—22no—
1090C2×Q8—22no—
1091C2×Q8—22no—
1092C2×Q8—22no—
1093C2×Q8—41no—
1094C2×D4—22no—
1095C2×D4—22no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4C3×#4114yes—
1111C2×D4C3×#4114yes—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4C2×C3×D414yes—
1154C22×C4C24×C311yescharacteristic
1155C22×C4C24×C311yescharacteristic
1156C22×C4C24×C311yescharacteristic
1157C22×C4C24×C311yescharacteristic
1158C22×C4C24×C311yescharacteristic
1159C22×C4C24×C311yescharacteristic
1160C22×C4C24×C311yescharacteristic
1161C22×C4C24×C311yescharacteristic
1162C22×C4C24×C311yescharacteristic
1163C22×C4C24×C311yescharacteristic
1164C22×C4C24×C311yescharacteristic
1165C22×C4C24×C311yescharacteristic
1166C22×C4C24×C311yescharacteristic
1167C22×C4C24×C311yescharacteristic
1168C22×C4C24×C311yescharacteristic
1169C22×C4C24×C311yescharacteristic
1170C22×C4C24×C311yescharacteristic
1171C22×C4C24×C311yescharacteristic
1172C22×C4C24×C311yescharacteristic
1173C22×C4C24×C311yescharacteristic
1174C22×C4C24×C311yescharacteristic
1175C22×C4C24×C311yescharacteristic
1176C22×C4C24×C311yescharacteristic
1177C22×C4C24×C311yescharacteristic
1178C22×C4C24×C311yescharacteristic
1179C22×C4C24×C311yescharacteristic
1180C22×C4C24×C311yescharacteristic
1181C4⋊C4—22no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
1187C4⋊C4—22no—
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—22no—
1209C4⋊C4—22no—
1210C4⋊C4—22no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4C2×C3×D414yes—
1217C4⋊C4C2×C3×D414yes—
1218C4⋊C4C3×#4114yescomplemented
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4C2×C3×D414yes—
1252C22⋊C4C2×C3×D414yes—
1253C42—22no—
1254C42—22no—
1255C42—22no—
1256C42—22no—
1257C42—22no—
1258C42—22no—
1259C42—22no—
1260C42—22no—
1261C42—22no—
1262C42—22no—
1263C42—22no—
1264C42—22no—
1265C42—41no—
1266C42—41no—
1267C42—41no—
1268C42C2×C3×D414yes—
1269C42C2×C3×D414yes—
1270C22×C3—22no—
1271C22×C3—22no—
1272C22×C3—22no—
1273C22×C3—22no—
1274C22×C3—22no—
1275C22×C3—22no—
1276C22×C3—22no—
1277C22×C3—22no—
1278C22×C3—22no—
1279C22×C3—22no—
1280C22×C3—22no—
1281C22×C3—22no—
1282C22×C3—41no—
1283C22×C3—41no—
1284C22×C3—41no—
1285C22×C3—41no—
1286C22×C3—41no—
1287C22×C3—41no—
1288C22×C3—41no—
1289C22×C3—41no—
1290C22×C3—41no—
1291C22×C3—41no—
1292C22×C3—41no—
1293C22×C3—41no—
1294C22×C3—41no—
1295C22×C3—41no—
1296C22×C3—41no—
1297C22×C3#52514yes—
1298C22×C3C23×D411yescharacteristic
1299C22×C3C22×#4111yescharacteristic
1300C22×C3C22×#4111yescharacteristic
1301C22×C3C22×#4111yescharacteristic
1302C22×C3C2×2−1+411yescharacteristic
1303C22×C3#58511yescharacteristic
1304C22×C3#58511yescharacteristic
1305C3×C4—22no—
1306C3×C4—22no—
1307C3×C4—22no—
1308C3×C4—22no—
1309C3×C4—22no—
1310C3×C4—22no—
1311C3×C4—22no—
1312C3×C4—22no—
1313C3×C4—22no—
1314C3×C4—22no—
1315C3×C4—22no—
1316C3×C4—22no—
1317C3×C4—41no—
1318C3×C4—41no—
1319C3×C4—41no—
1320C3×C4—41no—
1321C3×C4—41no—
1322C3×C4—41no—
1323C3×C4—41no—
1324C3×C4—41no—
1325C3×C4—41no—
1326C3×C4—41no—
1327C3×C4—41no—
1328C3×C4—41no—
1329C3×C4—41no—
1330C3×C4—41no—
1331C3×C4—41no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23C22×C3×D412yes—
1356C23C2×C3×#4112yes—
1357C23C2×C3×#4112yes—
1358C23C2×C3×#4112yes—
1359C23C2×C3×#4112yes—
1360C23C25×C311yescharacteristic
1361Q8—28no—
1362Q8—44no—
1363D4—28no—
1364D4—28no—
1365D4—28no—
1366D4—44no—
1367D4—44no—
1368D4—82no—
1369C2×C4—28no—
1370C2×C4—28no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—28no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
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—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—82no—
1452C2×C4C22×C3×D412yes—
1453C2×C4C22×C3×D412yes—
1454C2×C4C22×C3×D412yes—
1455C2×C4C22×C3×D412yes—
1456C2×C4C22×C3×D412yes—
1457C2×C4C22×C3×D412yes—
1458C2×C4C2×C3×#4112yes—
1459C2×C4C2×C3×#4112yes—
1460C2×C4C2×C3×#4112yes—
1461C2×C4C2×C3×#4112yes—
1462C2×C4C2×C3×#4112yes—
1463C2×C4C3×2−1+412yes—
1464C2×C3—24no—
1465C2×C3—42no—
1466C2×C3—42no—
1467C2×C3—81no—
1468C2×C3C2×#52511yescharacteristic
1469C2×C3D4×#4111yescharacteristic
1470C2×C3#347511yescharacteristic
1471C2×C3#348211yescharacteristic
1472C2×C3#348911yescharacteristic
1473C2×C3#351511yescharacteristic
1474C2×C3#352111yescharacteristic
1475C22—22no—
1476C22—22no—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22C3×#52514yes—
1503C22C23×C3×D411yescharacteristic
1504C22C22×C3×#4111yescharacteristic
1505C22C22×C3×#4111yescharacteristic
1506C22C22×C3×#4111yescharacteristic
1507C22C2×C3×2−1+411yescharacteristic
1508C22C3×#58511yescharacteristic
1509C22C3×#58511yescharacteristic
1510C4—22no—
1511C4—22no—
1512C4—22no—
1513C4—22no—
1514C4—22no—
1515C4—22no—
1516C4—22no—
1517C4—22no—
1518C4—22no—
1519C4—22no—
1520C4—22no—
1521C4—22no—
1522C4—41no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C3#3622711yescharacteristic, direct product factor, Sylow
1538C2—24no—
1539C2—42no—
1540C2—42no—
1541C2—81no—
1542C2C2×C3×#52511yescharacteristic
1543C2C3×D4×#4111yescharacteristic
1544C2C3×#347511yescharacteristic
1545C2C3×#348211yescharacteristic
1546C2C3×#348911yescharacteristic
1547C2C3×#351511yescharacteristic
1548C2C3×#352111yescharacteristic
subgroupG/H
center, socleC23×C3C25
commutator, Frattini, cosocleC23C25×C3
prime radicalC3×#2430C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C3 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#552C2semidirect
2. C2×C3×C4×#41C2semidirect
3. C3×#2853C2semidirect
4. C3×#2852C2semidirect
5. C3×#2851C2semidirect
6. C3×#2611C2semidirect
7. C3×#2609C2semidirect
8. C3×#2601C2semidirect
9. C3×#2599C2semidirect
10. C3×#2469C2semidirect
11. C3×#2467C2semidirect
12. C3×#2465C2semidirect
13. C3×#2463C2semidirect
14. C3×#2462C2semidirect
15. C3×#2462C2semidirect
16. C3×#2460C2semidirect
17. C3×#2460C2semidirect
18. C3×#2450C2semidirect
19. C3×#2449C2semidirect
21. C3×#2425C2semidirect
22. C3×#2425C2semidirect
23. C3×#2406C2semidirect
24. C3×#2364C2semidirect
25. C3×#2361C2semidirect
26. C3×#2359C2semidirect
27. C3×#2359C2semidirect
28. C3×#2343C2semidirect
29. C3×C4×C22⋊Q8C2semidirect
30. C3×#2290C2semidirect
31. C2×C3×#387C2semidirect
32. #36227C3direct (N × H)
190. C2×#552C2×C3semidirect
191. C2×C4×#41C2×C3semidirect
192. #2853C2×C3semidirect
193. #2852C2×C3semidirect
194. #2851C2×C3semidirect
195. #2611C2×C3semidirect
196. #2609C2×C3semidirect
197. #2601C2×C3semidirect
198. #2599C2×C3semidirect
199. #2469C2×C3semidirect
200. #2467C2×C3semidirect
201. #2465C2×C3semidirect
202. #2463C2×C3semidirect
203. #2462C2×C3semidirect
204. #2462C2×C3semidirect
205. #2460C2×C3semidirect
206. #2460C2×C3semidirect
207. #2450C2×C3semidirect
208. #2449C2×C3semidirect
210. #2425C2×C3semidirect
211. #2425C2×C3semidirect
212. #2406C2×C3semidirect
213. #2364C2×C3semidirect
214. #2361C2×C3semidirect
215. #2359C2×C3semidirect
216. #2359C2×C3semidirect
217. #2343C2×C3semidirect
218. C4×C22⋊Q8C2×C3semidirect
219. #2290C2×C3semidirect
220. C2×#387C2×C3semidirect
275. C3×#117D4semidirect
706. C3×C4⋊C4#41semidirect
812. #117C3×D4semidirect
1218. C4⋊C4C3×#41semidirect
1537. C3#36227direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5522
C2×C3×C4×#412
C3×#28532
C3×#28522
C3×#28512
C3×#26112
C3×#26092
C3×#26012
C3×#25992
C3×#24692
C3×#24672
C3×#24652
C3×#24632
C3×#24622
C3×#24602
C3×#24502
C3×#24492
C3×#24302
C3×#24252
C3×#24062
C3×#23642
C3×#23612
C3×#23592
C3×#23432
C3×C4×C22⋊Q82
C3×#22902
C2×C3×#3872
#362273