Finite Group Databasebeta

← C3×#37776 #10656383

Subgroups — C3×#37776 #10656383

Order 768.

2942 conjugacy classes of subgroups.

The subgroup lattice has 1854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#534C211yesmaximal, characteristic, complemented
2C2×C3×#525C211yesmaximal, characteristic, complemented
3C3×#2849C211yesmaximal, characteristic, complemented
4C3×#2708C211yesmaximal, characteristic, complemented
5C3×#2706C211yesmaximal, characteristic, complemented
6C3×#2703C211yesmaximal, characteristic, complemented
7C3×#2697C211yesmaximal, characteristic, complemented
8C3×#2688C211yesmaximal, characteristic, complemented
9C3×#2687C211yesmaximal, characteristic, complemented
10C3×#2681C211yesmaximal, characteristic, complemented
11C3×#2678C211yesmaximal, characteristic, complemented
12C3×#2617C211yesmaximal, characteristic, complemented
13C3×#2613C211yesmaximal, characteristic, complemented
14C3×#2488C211yesmaximal, characteristic, complemented
15C3×#2476C211yesmaximal, characteristic, complemented
16C3×#2470C211yesmaximal, characteristic, complemented
17C3×#2457C211yesmaximal, characteristic, complemented
18C3×#2456C211yesmaximal, characteristic, complemented
19C3×#2437C211yesmaximal, characteristic, complemented
20C3×#2425C211yesmaximal, characteristic, complemented
21C3×#2425C211yesmaximal, characteristic, complemented
22C3×#2420C211yesmaximal, characteristic, complemented
23C3×#2419C211yesmaximal, characteristic, complemented
24C3×#2418C211yesmaximal, characteristic, complemented
25C3×#2410C211yesmaximal, characteristic, complemented
26C3×#2407C211yesmaximal, characteristic, complemented
27C3×#2404C211yesmaximal, characteristic, complemented
28C3×#2358C211yesmaximal, characteristic, complemented
29C3×D4×C22⋊C4C211yesmaximal, characteristic, complemented
30C3×#2321C211yesmaximal, characteristic, complemented
31C2×C3×#386C211yesmaximal, characteristic, complemented
32#37776C311yesmaximal, characteristic, direct product factor, Sylow
33C22×C3×#41C2211yescharacteristic, complemented
34C23×C3×D4C2211yescharacteristic
35C23×C3×D4C2211yescharacteristic
36C24×C3×C4C2211yescharacteristic, complemented
37C3×#534—28no—
38C3×#525—28no—
39C2×C3×#123C2211yescharacteristic
40C2×C3×#123C2211yescharacteristic
41C2×C3×#123C2211yescharacteristic
42C2×C3×#123C2211yescharacteristic
43C2×C3×#123C2211yescharacteristic, complemented
44C2×C3×#123C2211yescharacteristic, complemented
45C2×C3×#123C2211yescharacteristic, complemented
46C2×C3×#123C2211yescharacteristic, complemented
47C2×C3×#123C2211yescharacteristic, complemented
48C2×C3×C22⋊Q8C2211yescharacteristic, complemented
49C2×C3×C22⋊Q8C2211yescharacteristic, complemented
50C2×C3×C22⋊Q8C2211yescharacteristic, complemented
51C2×C3×#121C2211yescharacteristic
52C2×C3×#121C2211yescharacteristic
53C2×C3×#121C2211yescharacteristic
54C2×C3×#121C2211yescharacteristic
55C2×C3×#121C2211yescharacteristic
56C2×C3×#121C2211yescharacteristic
57C2×C3×#121C2211yescharacteristic, complemented
58C2×C3×#120C2211yescharacteristic
59C2×C3×#120C2211yescharacteristic
60C2×C3×#120C2211yescharacteristic
61C2×C3×#120C2211yescharacteristic
62C2×C3×#120C2211yescharacteristic
63C2×C3×#120C2211yescharacteristic, complemented
64C2×C3×#120C2211yescharacteristic, complemented
65C2×C3×C4×D4C2211yescharacteristic
66C2×C3×C4×D4C2211yescharacteristic
67C2×C3×C4×D4C2211yescharacteristic, complemented
68C2×C3×C4×D4C2211yescharacteristic, complemented
69C2×C3×C4×D4C2211yescharacteristic, complemented
70C2×C3×C4×D4C2211yescharacteristic, complemented
71C2×C3×#117C2211yescharacteristic, complemented
72C22×C3×C22⋊C4C2211yescharacteristic
73C22×C3×C22⋊C4C2211yescharacteristic
74C22×C3×C22⋊C4C2211yescharacteristic
75C22×C3×C22⋊C4C2211yescharacteristic, complemented
76C22×C3×C22⋊C4C2211yescharacteristic, complemented
77C3×#400C2211yescharacteristic, complemented
78C3×#400C2211yescharacteristic, complemented
79C3×#400C2211yescharacteristic, complemented
80C3×#399C2211yescharacteristic, complemented
81C3×#398C2211yescharacteristic, complemented
82C3×#398C2211yescharacteristic, complemented
83C3×#398C2211yescharacteristic, complemented
84C3×#397C2211yescharacteristic, complemented
85C3×#397C2211yescharacteristic, complemented
86C3×#397C2211yescharacteristic, complemented
87C3×#397C2211yescharacteristic, complemented
88C3×#397C2211yescharacteristic, complemented
89C3×#397C2211yescharacteristic, complemented
90C3×#397C2211yescharacteristic, complemented
91C3×#396C2211yescharacteristic, complemented
92C3×#396C2211yescharacteristic, complemented
93C3×#396C2211yescharacteristic, complemented
94C3×#396C2211yescharacteristic, complemented
95C3×#394C2211yescharacteristic
96C3×#394C2211yescharacteristic
97C3×#394C2211yescharacteristic, complemented
98C3×#394C2211yescharacteristic, complemented
99C3×#394C2211yescharacteristic, complemented
100C3×#394C2211yescharacteristic, complemented
101C3×#394C2211yescharacteristic, complemented
102C3×#394C2211yescharacteristic, complemented
103C3×#394C2211yescharacteristic, complemented
104C3×#394C2211yescharacteristic, complemented
105C3×#394C2211yescharacteristic, complemented
106C3×#394C2211yescharacteristic, complemented
107C3×#393C2211yescharacteristic, complemented
108C3×#393C2211yescharacteristic, complemented
109C3×#392C2211yescharacteristic
110C3×#392C2211yescharacteristic
111C3×#392C2211yescharacteristic, complemented
112C3×#392C2211yescharacteristic, complemented
113C3×#392C2211yescharacteristic, complemented
114C3×#392C2211yescharacteristic, complemented
115C3×#392C2211yescharacteristic, complemented
116C3×#392C2211yescharacteristic, complemented
117C3×#391C2211yescharacteristic, complemented
118C3×#390C2211yescharacteristic, complemented
119C3×#390C2211yescharacteristic, complemented
120C3×#390C2211yescharacteristic, complemented
121C3×#390C2211yescharacteristic, complemented
122C3×#390C2211yescharacteristic, complemented
123C3×#389C2211yescharacteristic, complemented
124C3×#389C2211yescharacteristic, complemented
125C3×#388C2211yescharacteristic, complemented
126C3×#388C2211yescharacteristic, complemented
127C3×#388C2211yescharacteristic, complemented
128C3×#388C2211yescharacteristic, complemented
129C3×#388C2211yescharacteristic, complemented
130C3×#388C2211yescharacteristic, complemented
131C3×#388C2211yescharacteristic, complemented
132C3×#388C2211yescharacteristic, complemented
133C3×#388C2211yescharacteristic, complemented
134C3×#388C2211yescharacteristic, complemented
135C3×#387C2211yescharacteristic, complemented
136C3×#387C2211yescharacteristic, complemented
137C3×#386C2211yescharacteristic
138C3×#386C2211yescharacteristic
139C3×#386C2211yescharacteristic
140C3×#386C2211yescharacteristic
141C3×#386C2211yescharacteristic
142C3×#386C2211yescharacteristic
143C3×#386C2211yescharacteristic
144C3×#386C2211yescharacteristic
145C3×#386C2211yescharacteristic, complemented
146C3×#386C2211yescharacteristic, complemented
147C3×#386C2211yescharacteristic, complemented
148C3×#386C2211yescharacteristic, complemented
149C3×#386C2211yescharacteristic, complemented
150C3×#386C2211yescharacteristic, complemented
151C3×#386C2211yescharacteristic, complemented
152C3×#386C2211yescharacteristic, complemented
153C3×#386C2211yescharacteristic, complemented
154C3×#386C2211yescharacteristic, complemented
155C3×#386C2211yescharacteristic, complemented
156C3×#386C2211yescharacteristic, complemented
157C3×#386C2211yescharacteristic, complemented
158C3×#386C2211yescharacteristic, complemented
159C3×#386C2211yescharacteristic, complemented
160C3×#386C2211yescharacteristic, complemented
161C3×#385C2211yescharacteristic, complemented
162C3×#385C2211yescharacteristic, complemented
163C3×#385C2211yescharacteristic, complemented
164C3×#385C2211yescharacteristic, complemented
165C3×#385C2211yescharacteristic, complemented
166C3×#385C2211yescharacteristic, complemented
167C3×#385C2211yescharacteristic, complemented
168C3×#385C2211yescharacteristic, complemented
169C3×#385C2211yescharacteristic, complemented
170C3×#385C2211yescharacteristic, complemented
171C3×#382C2211yescharacteristic, complemented
172C3×#381C2211yescharacteristic, complemented
173C3×#381C2211yescharacteristic, complemented
174C3×#381C2211yescharacteristic, complemented
175C3×#381C2211yescharacteristic, complemented
176C3×#380C2211yescharacteristic, complemented
177C3×#380C2211yescharacteristic, complemented
178C3×#380C2211yescharacteristic, complemented
179C3×#380C2211yescharacteristic, complemented
180C3×#380C2211yescharacteristic, complemented
181C3×#379C2211yescharacteristic
182C3×#379C2211yescharacteristic, complemented
183C3×#379C2211yescharacteristic, complemented
184C3×#379C2211yescharacteristic, complemented
185C3×C4×C22⋊C4C2211yescharacteristic, complemented
186C3×C4×C22⋊C4C2211yescharacteristic, complemented
187C3×C4×C22⋊C4C2211yescharacteristic, complemented
188C2×C3×#95C2211yescharacteristic, complemented
189C2×C3×#95C2211yescharacteristic, complemented
190C2×#534C2×C311yescharacteristic, complemented
191C2×#525C2×C311yescharacteristic, complemented
192#2849C2×C311yescharacteristic, complemented
193#2708C2×C311yescharacteristic, complemented
194#2706C2×C311yescharacteristic, complemented
195#2703C2×C311yescharacteristic, complemented
196#2697C2×C311yescharacteristic, complemented
197#2688C2×C311yescharacteristic, complemented
198#2687C2×C311yescharacteristic, complemented
199#2681C2×C311yescharacteristic, complemented
200#2678C2×C311yescharacteristic, complemented
201#2617C2×C311yescharacteristic, complemented
202#2613C2×C311yescharacteristic, complemented
203#2488C2×C311yescharacteristic, complemented
204#2476C2×C311yescharacteristic, complemented
205#2470C2×C311yescharacteristic, complemented
206#2457C2×C311yescharacteristic, complemented
207#2456C2×C311yescharacteristic, complemented
208#2437C2×C311yescharacteristic, complemented
209#2425C2×C311yescharacteristic, complemented
210#2425C2×C311yescharacteristic, complemented
211#2420C2×C311yescharacteristic, complemented
212#2419C2×C311yescharacteristic, complemented
213#2418C2×C311yescharacteristic, complemented
214#2410C2×C311yescharacteristic, complemented
215#2407C2×C311yescharacteristic, complemented
216#2404C2×C311yescharacteristic, complemented
217#2358C2×C311yescharacteristic, complemented
218D4×C22⋊C4C2×C311yescharacteristic, complemented
219#2321C2×C311yescharacteristic, complemented
220C2×#386C2×C311yescharacteristic, complemented
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C25×C3C2311yescharacteristic
224C2×C3×#41—24no—
225C2×C3×#41—42no—
226C2×C3×#41—42no—
227C22×C3×Q8C2311yescharacteristic
228C22×C3×D4—24no—
229C22×C3×D4—24no—
230C22×C3×D4—24no—
231C22×C3×D4—24no—
232C22×C3×D4—42no—
233C22×C3×D4—42no—
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C22×C3×D4C2311yescharacteristic
238C22×C3×D4C2311yescharacteristic
239C22×C3×D4C2311yescharacteristic
240C22×C3×D4C2311yescharacteristic
241C22×C3×D4C2311yescharacteristic
242C22×C3×D4C2311yescharacteristic
243C22×C3×D4C2311yescharacteristic
244C22×C3×D4C2311yescharacteristic
245C22×C3×D4C2311yescharacteristic
246C22×C3×D4C2311yescharacteristic
247C22×C3×D4C2311yescharacteristic
248C22×C3×D4C2311yescharacteristic
249C22×C3×D4C2311yescharacteristic
250C22×C3×D4C2311yescharacteristic
251C22×C3×D4C2311yescharacteristic
252C22×C3×D4C2311yescharacteristic
253C23×C3×C4—24no—
254C23×C3×C4—42no—
255C23×C3×C4—42no—
256C23×C3×C4C2311yescharacteristic
257C23×C3×C4C2311yescharacteristic
258C23×C3×C4C2311yescharacteristic
259C23×C3×C4C2311yescharacteristic
260C23×C3×C4C2311yescharacteristic
261C23×C3×C4C2311yescharacteristic
262C23×C3×C4C2311yescharacteristic
263C23×C3×C4C2311yescharacteristic
264C23×C3×C4C2311yescharacteristic
265C23×C3×C4C2311yescharacteristic
266C23×C3×C4C2311yescharacteristic
267C23×C3×C4C2311yescharacteristic
268C23×C3×C4C2311yescharacteristic
269C23×C3×C4C2311yescharacteristic
270C23×C3×C4C2311yescharacteristic
271C3×#123—24no—
272C3×#123—24no—
273C3×#123—24no—
274C3×#123—24no—
275C3×#123—24no—
276C3×#123—24no—
277C3×#123—42no—
278C3×#123—42no—
279C3×#123—42no—
280C3×C22⋊Q8—24no—
281C3×C22⋊Q8—24no—
282C3×C22⋊Q8—42no—
283C3×#121—24no—
284C3×#121—24no—
285C3×#121—24no—
286C3×#121—24no—
287C3×#121—24no—
288C3×#121—24no—
289C3×#121—42no—
290C3×#120—24no—
291C3×#120—24no—
292C3×#120—24no—
293C3×#120—24no—
294C3×#120—24no—
295C3×#120—42no—
296C3×#120D418yescomplemented
297C3×C4×D4—24no—
298C3×C4×D4—24no—
299C3×C4×D4—24no—
300C3×C4×D4—24no—
301C3×C4×D4—42no—
302C3×C4×D4—42no—
303C3×#117—24no—
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×C4⋊C4C2311yescharacteristic
317C2×C3×C4⋊C4C2311yescharacteristic
318C2×C3×C4⋊C4C2311yescharacteristic
319C2×C3×C4⋊C4C2311yescharacteristic
320C2×C3×C4⋊C4C2311yescharacteristic
321C2×C3×C4⋊C4C2311yescharacteristic
322C2×C3×C4⋊C4C2311yescharacteristic
323C2×C3×C4⋊C4C2311yescharacteristic
324C2×C3×C4⋊C4C2311yescharacteristic
325C2×C3×C4⋊C4C2311yescharacteristic
326C2×C3×C22⋊C4—24no—
327C2×C3×C22⋊C4—42no—
328C2×C3×C22⋊C4—42no—
329C2×C3×C22⋊C4—42no—
330C2×C3×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
351C2×C3×C22⋊C4C2311yescharacteristic
352C2×C3×C22⋊C4C2311yescharacteristic
353C2×C3×C22⋊C4C2311yescharacteristic
354C2×C3×C22⋊C4C2311yescharacteristic
355C2×C3×C22⋊C4C2311yescharacteristic
356C2×C3×C22⋊C4C2311yescharacteristic
357C2×C3×C22⋊C4C2311yescharacteristic
358C2×C3×C22⋊C4C2311yescharacteristic
359C2×C3×C22⋊C4C2311yescharacteristic
360C2×C3×C22⋊C4C2311yescharacteristic
361C2×C3×C22⋊C4C2311yescharacteristic
362C2×C3×C22⋊C4C2311yescharacteristic
363C2×C3×C22⋊C4C2311yescharacteristic
364C2×C3×C22⋊C4C2311yescharacteristic
365C2×C3×C22⋊C4C2311yescharacteristic
366C2×C3×C22⋊C4C2311yescharacteristic
367C2×C3×C22⋊C4C2311yescharacteristic
368C2×C3×C22⋊C4C2311yescharacteristic
369C2×C3×C22⋊C4C2311yescharacteristic
370C2×C3×C22⋊C4C2311yescharacteristic
371C2×C3×C22⋊C4C2311yescharacteristic
372C2×C3×C22⋊C4C2311yescharacteristic
373C2×C3×C22⋊C4C2311yescharacteristic
374C2×C3×C22⋊C4C2311yescharacteristic
375C2×C3×C22⋊C4C2311yescharacteristic
376C2×C3×C22⋊C4C2311yescharacteristic
377C2×C3×C22⋊C4C2311yescharacteristic
378C2×C3×C22⋊C4C2311yescharacteristic
379C2×C3×C22⋊C4C2311yescharacteristic
380C2×C3×C22⋊C4C2311yescharacteristic
381C2×C3×C22⋊C4C2311yescharacteristic
382C2×C3×C22⋊C4C2311yescharacteristic
383C2×C3×C22⋊C4C2311yescharacteristic
384C2×C3×C22⋊C4C2311yescharacteristic
385C2×C3×C22⋊C4C2311yescharacteristic
386C2×C3×C22⋊C4C2311yescharacteristic
387C2×C3×C22⋊C4C2311yescharacteristic
388C2×C3×C22⋊C4C2311yescharacteristic
389C2×C3×C42C2311yescharacteristic
390C2×C3×C42C2311yescharacteristic
391C2×C3×C42C2311yescharacteristic
392C2×C3×C42C2311yescharacteristic
393C2×C3×C42C2311yescharacteristic
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
414C3×#95C2311yescharacteristic
415C3×#95C2311yescharacteristic
416C3×#95C2311yescharacteristic
417C3×#95C2311yescharacteristic
418C3×#95C2311yescharacteristic
419C3×#95C2311yescharacteristic
420C3×#95C2311yescharacteristic
421C3×#95C2311yescharacteristic
422C3×#95C2311yescharacteristic
423C3×#95C2311yescharacteristic
424C3×#95C2311yescharacteristic
425C3×#95C2311yescharacteristic
426C22×#41C22×C311yescharacteristic, complemented
427C23×D4C22×C311yescharacteristic
428C23×D4C22×C311yescharacteristic
429C24×C4C22×C311yescharacteristic, complemented
430#534—28no—
431#525—28no—
432C2×#123C22×C311yescharacteristic
433C2×#123C22×C311yescharacteristic
434C2×#123C22×C311yescharacteristic
435C2×#123C22×C311yescharacteristic
436C2×#123C22×C311yescharacteristic, complemented
437C2×#123C22×C311yescharacteristic, complemented
438C2×#123C22×C311yescharacteristic, complemented
439C2×#123C22×C311yescharacteristic, complemented
440C2×#123C22×C311yescharacteristic, complemented
441C2×C22⋊Q8C22×C311yescharacteristic, complemented
442C2×C22⋊Q8C22×C311yescharacteristic, complemented
443C2×C22⋊Q8C22×C311yescharacteristic, complemented
444C2×#121C22×C311yescharacteristic
445C2×#121C22×C311yescharacteristic
446C2×#121C22×C311yescharacteristic
447C2×#121C22×C311yescharacteristic
448C2×#121C22×C311yescharacteristic
449C2×#121C22×C311yescharacteristic
450C2×#121C22×C311yescharacteristic, complemented
451C2×#120C22×C311yescharacteristic
452C2×#120C22×C311yescharacteristic
453C2×#120C22×C311yescharacteristic
454C2×#120C22×C311yescharacteristic
455C2×#120C22×C311yescharacteristic
456C2×#120C22×C311yescharacteristic, complemented
457C2×#120C22×C311yescharacteristic, complemented
458C2×C4×D4C22×C311yescharacteristic
459C2×C4×D4C22×C311yescharacteristic
460C2×C4×D4C22×C311yescharacteristic, complemented
461C2×C4×D4C22×C311yescharacteristic, complemented
462C2×C4×D4C22×C311yescharacteristic, complemented
463C2×C4×D4C22×C311yescharacteristic, complemented
464C2×#117C22×C311yescharacteristic, complemented
465C22×C22⋊C4C22×C311yescharacteristic
466C22×C22⋊C4C22×C311yescharacteristic
467C22×C22⋊C4C22×C311yescharacteristic
468C22×C22⋊C4C22×C311yescharacteristic, complemented
469C22×C22⋊C4C22×C311yescharacteristic, complemented
470#400C22×C311yescharacteristic, complemented
471#400C22×C311yescharacteristic, complemented
472#400C22×C311yescharacteristic, complemented
473#399C22×C311yescharacteristic, complemented
474#398C22×C311yescharacteristic, complemented
475#398C22×C311yescharacteristic, complemented
476#398C22×C311yescharacteristic, complemented
477#397C22×C311yescharacteristic, complemented
478#397C22×C311yescharacteristic, complemented
479#397C22×C311yescharacteristic, complemented
480#397C22×C311yescharacteristic, complemented
481#397C22×C311yescharacteristic, complemented
482#397C22×C311yescharacteristic, complemented
483#397C22×C311yescharacteristic, complemented
484#396C22×C311yescharacteristic, complemented
485#396C22×C311yescharacteristic, complemented
486#396C22×C311yescharacteristic, complemented
487#396C22×C311yescharacteristic, complemented
488#394C22×C311yescharacteristic
489#394C22×C311yescharacteristic
490#394C22×C311yescharacteristic, complemented
491#394C22×C311yescharacteristic, complemented
492#394C22×C311yescharacteristic, complemented
493#394C22×C311yescharacteristic, complemented
494#394C22×C311yescharacteristic, complemented
495#394C22×C311yescharacteristic, complemented
496#394C22×C311yescharacteristic, complemented
497#394C22×C311yescharacteristic, complemented
498#394C22×C311yescharacteristic, complemented
499#394C22×C311yescharacteristic, complemented
500#393C22×C311yescharacteristic, complemented
501#393C22×C311yescharacteristic, complemented
502#392C22×C311yescharacteristic
503#392C22×C311yescharacteristic
504#392C22×C311yescharacteristic, complemented
505#392C22×C311yescharacteristic, complemented
506#392C22×C311yescharacteristic, complemented
507#392C22×C311yescharacteristic, complemented
508#392C22×C311yescharacteristic, complemented
509#392C22×C311yescharacteristic, complemented
510#391C22×C311yescharacteristic, complemented
511#390C22×C311yescharacteristic, complemented
512#390C22×C311yescharacteristic, complemented
513#390C22×C311yescharacteristic, complemented
514#390C22×C311yescharacteristic, complemented
515#390C22×C311yescharacteristic, complemented
516#389C22×C311yescharacteristic, complemented
517#389C22×C311yescharacteristic, complemented
518#388C22×C311yescharacteristic, complemented
519#388C22×C311yescharacteristic, complemented
520#388C22×C311yescharacteristic, complemented
521#388C22×C311yescharacteristic, complemented
522#388C22×C311yescharacteristic, complemented
523#388C22×C311yescharacteristic, complemented
524#388C22×C311yescharacteristic, complemented
525#388C22×C311yescharacteristic, complemented
526#388C22×C311yescharacteristic, complemented
527#388C22×C311yescharacteristic, complemented
528#387C22×C311yescharacteristic, complemented
529#387C22×C311yescharacteristic, complemented
530#386C22×C311yescharacteristic
531#386C22×C311yescharacteristic
532#386C22×C311yescharacteristic
533#386C22×C311yescharacteristic
534#386C22×C311yescharacteristic
535#386C22×C311yescharacteristic
536#386C22×C311yescharacteristic
537#386C22×C311yescharacteristic
538#386C22×C311yescharacteristic, complemented
539#386C22×C311yescharacteristic, complemented
540#386C22×C311yescharacteristic, complemented
541#386C22×C311yescharacteristic, complemented
542#386C22×C311yescharacteristic, complemented
543#386C22×C311yescharacteristic, complemented
544#386C22×C311yescharacteristic, complemented
545#386C22×C311yescharacteristic, complemented
546#386C22×C311yescharacteristic, complemented
547#386C22×C311yescharacteristic, complemented
548#386C22×C311yescharacteristic, complemented
549#386C22×C311yescharacteristic, complemented
550#386C22×C311yescharacteristic, complemented
551#386C22×C311yescharacteristic, complemented
552#386C22×C311yescharacteristic, complemented
553#386C22×C311yescharacteristic, complemented
554#385C22×C311yescharacteristic, complemented
555#385C22×C311yescharacteristic, complemented
556#385C22×C311yescharacteristic, complemented
557#385C22×C311yescharacteristic, complemented
558#385C22×C311yescharacteristic, complemented
559#385C22×C311yescharacteristic, complemented
560#385C22×C311yescharacteristic, complemented
561#385C22×C311yescharacteristic, complemented
562#385C22×C311yescharacteristic, complemented
563#385C22×C311yescharacteristic, complemented
564#382C22×C311yescharacteristic, complemented
565#381C22×C311yescharacteristic, complemented
566#381C22×C311yescharacteristic, complemented
567#381C22×C311yescharacteristic, complemented
568#381C22×C311yescharacteristic, complemented
569#380C22×C311yescharacteristic, complemented
570#380C22×C311yescharacteristic, complemented
571#380C22×C311yescharacteristic, complemented
572#380C22×C311yescharacteristic, complemented
573#380C22×C311yescharacteristic, complemented
574#379C22×C311yescharacteristic
575#379C22×C311yescharacteristic, complemented
576#379C22×C311yescharacteristic, complemented
577#379C22×C311yescharacteristic, complemented
578C4×C22⋊C4C22×C311yescharacteristic, complemented
579C4×C22⋊C4C22×C311yescharacteristic, complemented
580C4×C22⋊C4C22×C311yescharacteristic, complemented
581C2×#95C22×C311yescharacteristic, complemented
582C2×#95C22×C311yescharacteristic, complemented
583C24×C3—22no—
584C24×C3—22no—
585C24×C3—22no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—41no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3—41no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3—41no—
601C24×C3—41no—
602C24×C3C2×D414yes—
603C24×C3#4114yescomplemented
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C24×C3C2411yescharacteristic
608C24×C3C2411yescharacteristic
609C24×C3C2411yescharacteristic
610C24×C3C2411yescharacteristic
611C24×C3C2411yescharacteristic
612C3×#41—416no—
613C2×C3×Q8—22no—
614C2×C3×Q8—22no—
615C2×C3×Q8—41no—
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—22no—
621C2×C3×D4—22no—
622C2×C3×D4—22no—
623C2×C3×D4—22no—
624C2×C3×D4—22no—
625C2×C3×D4—22no—
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—22no—
631C2×C3×D4—22no—
632C2×C3×D4—22no—
633C2×C3×D4—22no—
634C2×C3×D4—22no—
635C2×C3×D4—22no—
636C2×C3×D4—22no—
637C2×C3×D4—22no—
638C2×C3×D4—22no—
639C2×C3×D4—22no—
640C2×C3×D4—22no—
641C2×C3×D4—22no—
642C2×C3×D4—22no—
643C2×C3×D4—22no—
644C2×C3×D4—41no—
645C2×C3×D4—41no—
646C2×C3×D4—41no—
647C2×C3×D4—41no—
648C2×C3×D4—41no—
649C2×C3×D4—41no—
650C2×C3×D4—41no—
651C2×C3×D4—41no—
652C2×C3×D4—41no—
653C2×C3×D4—41no—
654C2×C3×D4—41no—
655C2×C3×D4—41no—
656C2×C3×D4—41no—
657C2×C3×D4—41no—
658C2×C3×D4—41no—
659C2×C3×D4—41no—
660C2×C3×D4—41no—
661C2×C3×D4—41no—
662C2×C3×D4—41no—
663C2×C3×D4—41no—
664C2×C3×D4—41no—
665C2×C3×D4—41no—
666C2×C3×D4—41no—
667C2×C3×D4—41no—
668C2×C3×D4—41no—
669C2×C3×D4—41no—
670C2×C3×D4—416no—
671C2×C3×D4—416no—
672C2×C3×D4C2×D414yes—
673C2×C3×D4C2×D414yes—
674C2×C3×D4C2×D414yes—
675C22×C3×C4—22no—
676C22×C3×C4—22no—
677C22×C3×C4—22no—
678C22×C3×C4—22no—
679C22×C3×C4—22no—
680C22×C3×C4—22no—
681C22×C3×C4—22no—
682C22×C3×C4—22no—
683C22×C3×C4—22no—
684C22×C3×C4—22no—
685C22×C3×C4—22no—
686C22×C3×C4—22no—
687C22×C3×C4—22no—
688C22×C3×C4—22no—
689C22×C3×C4—22no—
690C22×C3×C4—22no—
691C22×C3×C4—22no—
692C22×C3×C4—22no—
693C22×C3×C4—22no—
694C22×C3×C4—22no—
695C22×C3×C4—22no—
696C22×C3×C4—22no—
697C22×C3×C4—22no—
698C22×C3×C4—22no—
699C22×C3×C4—22no—
700C22×C3×C4—41no—
701C22×C3×C4—41no—
702C22×C3×C4—41no—
703C22×C3×C4—41no—
704C22×C3×C4—41no—
705C22×C3×C4—41no—
706C22×C3×C4—41no—
707C22×C3×C4—41no—
708C22×C3×C4—41no—
709C22×C3×C4—41no—
710C22×C3×C4—41no—
711C22×C3×C4—41no—
712C22×C3×C4—41no—
713C22×C3×C4—41no—
714C22×C3×C4—41no—
715C22×C3×C4—41no—
716C22×C3×C4—41no—
717C22×C3×C4—41no—
718C22×C3×C4—41no—
719C22×C3×C4—41no—
720C22×C3×C4—416no—
721C22×C3×C4C2411yescharacteristic
722C22×C3×C4C2411yescharacteristic
723C22×C3×C4C2411yescharacteristic
724C22×C3×C4C2411yescharacteristic
725C22×C3×C4C2411yescharacteristic
726C22×C3×C4C2411yescharacteristic
727C22×C3×C4C2411yescharacteristic
728C22×C3×C4C2411yescharacteristic
729C22×C3×C4C2411yescharacteristic
730C22×C3×C4C2411yescharacteristic
731C22×C3×C4C2411yescharacteristic
732C22×C3×C4C2411yescharacteristic
733C22×C3×C4C2411yescharacteristic
734C22×C3×C4C2411yescharacteristic
735C22×C3×C4C2411yescharacteristic
736C22×C3×C4C2411yescharacteristic
737C22×C3×C4C2411yescharacteristic
738C22×C3×C4C2411yescharacteristic
739C22×C3×C4C2411yescharacteristic
740C22×C3×C4C2411yescharacteristic
741C22×C3×C4C2411yescharacteristic
742C22×C3×C4C2411yescharacteristic
743C22×C3×C4C2411yescharacteristic
744C3×C4⋊C4—22no—
745C3×C4⋊C4—22no—
746C3×C4⋊C4—22no—
747C3×C4⋊C4—22no—
748C3×C4⋊C4—22no—
749C3×C4⋊C4—22no—
750C3×C4⋊C4—22no—
751C3×C4⋊C4—22no—
752C3×C4⋊C4—22no—
753C3×C4⋊C4—22no—
754C3×C4⋊C4—22no—
755C3×C4⋊C4—22no—
756C3×C4⋊C4—41no—
757C3×C4⋊C4—41no—
758C3×C4⋊C4—41no—
759C3×C4⋊C4—41no—
760C3×C4⋊C4—41no—
761C3×C4⋊C4—41no—
762C3×C4⋊C4—41no—
763C3×C4⋊C4—41no—
764C3×C4⋊C4—41no—
765C3×C4⋊C4—41no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—22no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—22no—
780C3×C22⋊C4—22no—
781C3×C22⋊C4—22no—
782C3×C22⋊C4—22no—
783C3×C22⋊C4—22no—
784C3×C22⋊C4—22no—
785C3×C22⋊C4—22no—
786C3×C22⋊C4—22no—
787C3×C22⋊C4—22no—
788C3×C22⋊C4—22no—
789C3×C22⋊C4—22no—
790C3×C22⋊C4—22no—
791C3×C22⋊C4—22no—
792C3×C22⋊C4—41no—
793C3×C22⋊C4—41no—
794C3×C22⋊C4—41no—
795C3×C22⋊C4—41no—
796C3×C22⋊C4—41no—
797C3×C22⋊C4—41no—
798C3×C22⋊C4—41no—
799C3×C22⋊C4—41no—
800C3×C22⋊C4—41no—
801C3×C22⋊C4—41no—
802C3×C22⋊C4—41no—
803C3×C22⋊C4—41no—
804C3×C22⋊C4—41no—
805C3×C22⋊C4—41no—
806C3×C22⋊C4—41no—
807C3×C22⋊C4—41no—
808C3×C22⋊C4—41no—
809C3×C22⋊C4—41no—
810C3×C22⋊C4—41no—
811C3×C22⋊C4—41no—
812C3×C22⋊C4—41no—
813C3×C22⋊C4—41no—
814C3×C22⋊C4—41no—
815C3×C22⋊C4—41no—
816C3×C22⋊C4—41no—
817C3×C22⋊C4—41no—
818C3×C22⋊C4—41no—
819C3×C22⋊C4—41no—
820C3×C22⋊C4—41no—
821C3×C22⋊C4C2×D414yes—
822C3×C22⋊C4C2×D414yes—
823C3×C22⋊C4C2×D414yes—
824C3×C42—22no—
825C3×C42—22no—
826C3×C42—41no—
827C3×C42—41no—
828C3×C42—41no—
829C25C23×C311yescharacteristic
830C25C23×C311yescharacteristic
831C25C23×C311yescharacteristic
832C2×#41—24no—
833C2×#41—42no—
834C2×#41—42no—
835C22×Q8C23×C311yescharacteristic
836C22×D4—24no—
837C22×D4—24no—
838C22×D4—24no—
839C22×D4—24no—
840C22×D4—42no—
841C22×D4—42no—
842C22×D4C23×C311yescharacteristic
843C22×D4C23×C311yescharacteristic
844C22×D4C23×C311yescharacteristic
845C22×D4C23×C311yescharacteristic
846C22×D4C23×C311yescharacteristic
847C22×D4C23×C311yescharacteristic
848C22×D4C23×C311yescharacteristic
849C22×D4C23×C311yescharacteristic
850C22×D4C23×C311yescharacteristic
851C22×D4C23×C311yescharacteristic
852C22×D4C23×C311yescharacteristic
853C22×D4C23×C311yescharacteristic
854C22×D4C23×C311yescharacteristic
855C22×D4C23×C311yescharacteristic
856C22×D4C23×C311yescharacteristic
857C22×D4C23×C311yescharacteristic
858C22×D4C23×C311yescharacteristic
859C22×D4C23×C311yescharacteristic
860C22×D4C23×C311yescharacteristic
861C23×C4—24no—
862C23×C4—42no—
863C23×C4—42no—
864C23×C4C23×C311yescharacteristic
865C23×C4C23×C311yescharacteristic
866C23×C4C23×C311yescharacteristic
867C23×C4C23×C311yescharacteristic
868C23×C4C23×C311yescharacteristic
869C23×C4C23×C311yescharacteristic
870C23×C4C23×C311yescharacteristic
871C23×C4C23×C311yescharacteristic
872C23×C4C23×C311yescharacteristic
873C23×C4C23×C311yescharacteristic
874C23×C4C23×C311yescharacteristic
875C23×C4C23×C311yescharacteristic
876C23×C4C23×C311yescharacteristic
877C23×C4C23×C311yescharacteristic
878C23×C4C23×C311yescharacteristic
879#123—24no—
880#123—24no—
881#123—24no—
882#123—24no—
883#123—24no—
884#123—24no—
885#123—42no—
886#123—42no—
887#123—42no—
888C22⋊Q8—24no—
889C22⋊Q8—24no—
890C22⋊Q8—42no—
891#121—24no—
892#121—24no—
893#121—24no—
894#121—24no—
895#121—24no—
896#121—24no—
897#121—42no—
898#120—24no—
899#120—24no—
900#120—24no—
901#120—24no—
902#120—24no—
903#120—42no—
904#120C3×D418yescomplemented
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—42no—
910C4×D4—42no—
911#117—24no—
912C2×C4⋊C4C23×C311yescharacteristic
913C2×C4⋊C4C23×C311yescharacteristic
914C2×C4⋊C4C23×C311yescharacteristic
915C2×C4⋊C4C23×C311yescharacteristic
916C2×C4⋊C4C23×C311yescharacteristic
917C2×C4⋊C4C23×C311yescharacteristic
918C2×C4⋊C4C23×C311yescharacteristic
919C2×C4⋊C4C23×C311yescharacteristic
920C2×C4⋊C4C23×C311yescharacteristic
921C2×C4⋊C4C23×C311yescharacteristic
922C2×C4⋊C4C23×C311yescharacteristic
923C2×C4⋊C4C23×C311yescharacteristic
924C2×C4⋊C4C23×C311yescharacteristic
925C2×C4⋊C4C23×C311yescharacteristic
926C2×C4⋊C4C23×C311yescharacteristic
927C2×C4⋊C4C23×C311yescharacteristic
928C2×C4⋊C4C23×C311yescharacteristic
929C2×C4⋊C4C23×C311yescharacteristic
930C2×C4⋊C4C23×C311yescharacteristic
931C2×C4⋊C4C23×C311yescharacteristic
932C2×C4⋊C4C23×C311yescharacteristic
933C2×C4⋊C4C23×C311yescharacteristic
934C2×C22⋊C4—24no—
935C2×C22⋊C4—42no—
936C2×C22⋊C4—42no—
937C2×C22⋊C4—42no—
938C2×C22⋊C4—42no—
939C2×C22⋊C4C23×C311yescharacteristic
940C2×C22⋊C4C23×C311yescharacteristic
941C2×C22⋊C4C23×C311yescharacteristic
942C2×C22⋊C4C23×C311yescharacteristic
943C2×C22⋊C4C23×C311yescharacteristic
944C2×C22⋊C4C23×C311yescharacteristic
945C2×C22⋊C4C23×C311yescharacteristic
946C2×C22⋊C4C23×C311yescharacteristic
947C2×C22⋊C4C23×C311yescharacteristic
948C2×C22⋊C4C23×C311yescharacteristic
949C2×C22⋊C4C23×C311yescharacteristic
950C2×C22⋊C4C23×C311yescharacteristic
951C2×C22⋊C4C23×C311yescharacteristic
952C2×C22⋊C4C23×C311yescharacteristic
953C2×C22⋊C4C23×C311yescharacteristic
954C2×C22⋊C4C23×C311yescharacteristic
955C2×C22⋊C4C23×C311yescharacteristic
956C2×C22⋊C4C23×C311yescharacteristic
957C2×C22⋊C4C23×C311yescharacteristic
958C2×C22⋊C4C23×C311yescharacteristic
959C2×C22⋊C4C23×C311yescharacteristic
960C2×C22⋊C4C23×C311yescharacteristic
961C2×C22⋊C4C23×C311yescharacteristic
962C2×C22⋊C4C23×C311yescharacteristic
963C2×C22⋊C4C23×C311yescharacteristic
964C2×C22⋊C4C23×C311yescharacteristic
965C2×C22⋊C4C23×C311yescharacteristic
966C2×C22⋊C4C23×C311yescharacteristic
967C2×C22⋊C4C23×C311yescharacteristic
968C2×C22⋊C4C23×C311yescharacteristic
969C2×C22⋊C4C23×C311yescharacteristic
970C2×C22⋊C4C23×C311yescharacteristic
971C2×C22⋊C4C23×C311yescharacteristic
972C2×C22⋊C4C23×C311yescharacteristic
973C2×C22⋊C4C23×C311yescharacteristic
974C2×C22⋊C4C23×C311yescharacteristic
975C2×C22⋊C4C23×C311yescharacteristic
976C2×C22⋊C4C23×C311yescharacteristic
977C2×C22⋊C4C23×C311yescharacteristic
978C2×C22⋊C4C23×C311yescharacteristic
979C2×C22⋊C4C23×C311yescharacteristic
980C2×C22⋊C4C23×C311yescharacteristic
981C2×C22⋊C4C23×C311yescharacteristic
982C2×C22⋊C4C23×C311yescharacteristic
983C2×C22⋊C4C23×C311yescharacteristic
984C2×C22⋊C4C23×C311yescharacteristic
985C2×C22⋊C4C23×C311yescharacteristic
986C2×C22⋊C4C23×C311yescharacteristic
987C2×C22⋊C4C23×C311yescharacteristic
988C2×C22⋊C4C23×C311yescharacteristic
989C2×C22⋊C4C23×C311yescharacteristic
990C2×C22⋊C4C23×C311yescharacteristic
991C2×C22⋊C4C23×C311yescharacteristic
992C2×C22⋊C4C23×C311yescharacteristic
993C2×C22⋊C4C23×C311yescharacteristic
994C2×C22⋊C4C23×C311yescharacteristic
995C2×C22⋊C4C23×C311yescharacteristic
996C2×C22⋊C4C23×C311yescharacteristic
997C2×C42C23×C311yescharacteristic
998C2×C42C23×C311yescharacteristic
999C2×C42C23×C311yescharacteristic
1000C2×C42C23×C311yescharacteristic
1001C2×C42C23×C311yescharacteristic
1002#95C23×C311yescharacteristic
1003#95C23×C311yescharacteristic
1004#95C23×C311yescharacteristic
1005#95C23×C311yescharacteristic
1006#95C23×C311yescharacteristic
1007#95C23×C311yescharacteristic
1008#95C23×C311yescharacteristic
1009#95C23×C311yescharacteristic
1010#95C23×C311yescharacteristic
1011#95C23×C311yescharacteristic
1012#95C23×C311yescharacteristic
1013#95C23×C311yescharacteristic
1014#95C23×C311yescharacteristic
1015#95C23×C311yescharacteristic
1016#95C23×C311yescharacteristic
1017#95C23×C311yescharacteristic
1018#95C23×C311yescharacteristic
1019#95C23×C311yescharacteristic
1020#95C23×C311yescharacteristic
1021#95C23×C311yescharacteristic
1022#95C23×C311yescharacteristic
1023#95C23×C311yescharacteristic
1024#95C23×C311yescharacteristic
1025#95C23×C311yescharacteristic
1026#95C23×C311yescharacteristic
1027#95C23×C311yescharacteristic
1028#95C23×C311yescharacteristic
1029#95C23×C311yescharacteristic
1030#95C23×C311yescharacteristic
1031#95C23×C311yescharacteristic
1032#95C23×C311yescharacteristic
1033#95C23×C311yescharacteristic
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—28no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3—21no—
1049C23×C3—21no—
1050C23×C3—21no—
1051C23×C3—21no—
1052C23×C3—21no—
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—28no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—44no—
1085C23×C3—44no—
1086C23×C3—44no—
1087C23×C3—44no—
1088C23×C3—44no—
1089C23×C3—44no—
1090C23×C3—44no—
1091C23×C3—44no—
1092C23×C3—44no—
1093C23×C3—44no—
1094C23×C3—82no—
1095C23×C3—82no—
1096C23×C3—82no—
1097C23×C3—82no—
1098C23×C3—82no—
1099C23×C3—82no—
1100C23×C3—82no—
1101C23×C3—82no—
1102C23×C3—82no—
1103C23×C3C22×D412yes—
1104C23×C3C22×D412yes—
1105C23×C3C22×D412yes—
1106C23×C3C22×D412yes—
1107C23×C3C2×#4112yes—
1108C23×C3C2×#4112yes—
1109C23×C3C2×#4112yes—
1110C23×C3H(5,𝔽2)12yes—
1111C23×C3C2511yescharacteristic
1112C3×Q8—44no—
1113C3×D4—28no—
1114C3×D4—44no—
1115C3×D4—44no—
1116C3×D4—44no—
1117C3×D4—44no—
1118C3×D4—44no—
1119C3×D4—44no—
1120C3×D4—44no—
1121C3×D4—44no—
1122C3×D4—44no—
1123C3×D4—44no—
1124C3×D4—44no—
1125C3×D4—44no—
1126C3×D4—44no—
1127C3×D4—44no—
1128C3×D4—82no—
1129C3×D4—82no—
1130C3×D4—82no—
1131C3×D4—82no—
1132C2×C3×C4—28no—
1133C2×C3×C4—21no—
1134C2×C3×C4—21no—
1135C2×C3×C4—21no—
1136C2×C3×C4—21no—
1137C2×C3×C4—21no—
1138C2×C3×C4—21no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—44no—
1198C2×C3×C4—44no—
1199C2×C3×C4—44no—
1200C2×C3×C4—44no—
1201C2×C3×C4—44no—
1202C2×C3×C4—44no—
1203C2×C3×C4—44no—
1204C2×C3×C4—44no—
1205C2×C3×C4—44no—
1206C2×C3×C4—82no—
1207C2×C3×C4—82no—
1208C2×C3×C4—82no—
1209C2×C3×C4—82no—
1210C2×C3×C4—82no—
1211C2×C3×C4C22×D412yes—
1212C2×C3×C4C22×D412yes—
1213C2×C3×C4C22×D412yes—
1214C2×C3×C4H(5,𝔽2)12yes—
1215C2×C3×C4H(5,𝔽2)12yes—
1216C24—22no—
1217C24—22no—
1218C24—22no—
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24—41no—
1230C24—41no—
1231C24—41no—
1232C24—41no—
1233C24—41no—
1234C24—41no—
1235C24C2×C3×D414yes—
1236C24C3×#4114yescomplemented
1237C24C24×C311yescharacteristic
1238C24C24×C311yescharacteristic
1239C24C24×C311yescharacteristic
1240C24C24×C311yescharacteristic
1241C24C24×C311yescharacteristic
1242C24C24×C311yescharacteristic
1243C24C24×C311yescharacteristic
1244C24C24×C311yescharacteristic
1245#41—416no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—41no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—416no—
1304C2×D4—416no—
1305C2×D4C2×C3×D414yes—
1306C2×D4C2×C3×D414yes—
1307C2×D4C2×C3×D414yes—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—416no—
1354C22×C4C24×C311yescharacteristic
1355C22×C4C24×C311yescharacteristic
1356C22×C4C24×C311yescharacteristic
1357C22×C4C24×C311yescharacteristic
1358C22×C4C24×C311yescharacteristic
1359C22×C4C24×C311yescharacteristic
1360C22×C4C24×C311yescharacteristic
1361C22×C4C24×C311yescharacteristic
1362C22×C4C24×C311yescharacteristic
1363C22×C4C24×C311yescharacteristic
1364C22×C4C24×C311yescharacteristic
1365C22×C4C24×C311yescharacteristic
1366C22×C4C24×C311yescharacteristic
1367C22×C4C24×C311yescharacteristic
1368C22×C4C24×C311yescharacteristic
1369C22×C4C24×C311yescharacteristic
1370C22×C4C24×C311yescharacteristic
1371C22×C4C24×C311yescharacteristic
1372C22×C4C24×C311yescharacteristic
1373C22×C4C24×C311yescharacteristic
1374C22×C4C24×C311yescharacteristic
1375C22×C4C24×C311yescharacteristic
1376C22×C4C24×C311yescharacteristic
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—41no—
1398C4⋊C4—41no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4C2×C3×D414yes—
1455C22⋊C4C2×C3×D414yes—
1456C22⋊C4C2×C3×D414yes—
1457C42—22no—
1458C42—22no—
1459C42—41no—
1460C42—41no—
1461C42—41no—
1462C22×C3—22no—
1463C22×C3—22no—
1464C22×C3—22no—
1465C22×C3—22no—
1466C22×C3—22no—
1467C22×C3—22no—
1468C22×C3—22no—
1469C22×C3—22no—
1470C22×C3—22no—
1471C22×C3—22no—
1472C22×C3—22no—
1473C22×C3—22no—
1474C22×C3—22no—
1475C22×C3—22no—
1476C22×C3—22no—
1477C22×C3—22no—
1478C22×C3—22no—
1479C22×C3—22no—
1480C22×C3—22no—
1481C22×C3—22no—
1482C22×C3—22no—
1483C22×C3—416no—
1484C22×C3—41no—
1485C22×C3—41no—
1486C22×C3—41no—
1487C22×C3—41no—
1488C22×C3—41no—
1489C22×C3—41no—
1490C22×C3—41no—
1491C22×C3—41no—
1492C22×C3—41no—
1493C22×C3—41no—
1494C22×C3—41no—
1495C22×C3—41no—
1496C22×C3—41no—
1497C22×C3—41no—
1498C22×C3—41no—
1499C22×C3—41no—
1500C22×C3—41no—
1501C22×C3—41no—
1502C22×C3—41no—
1503C22×C3—41no—
1504C22×C3—41no—
1505C22×C3—41no—
1506C22×C3—41no—
1507C22×C3—41no—
1508C22×C3—41no—
1509C22×C3—41no—
1510C22×C3—41no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—88no—
1519C22×C3—88no—
1520C22×C3#54614yes—
1521C22×C3C23×D411yescharacteristic
1522C22×C3C22×#4111yescharacteristic
1523C22×C3C2×H(5,𝔽2)11yescharacteristic
1524C22×C3C2×H(5,𝔽2)11yescharacteristic
1525C22×C3C2×H(5,𝔽2)11yescharacteristic
1526C22×C3#58511yescharacteristic
1527C22×C3#58511yescharacteristic
1528C3×C4—22no—
1529C3×C4—22no—
1530C3×C4—22no—
1531C3×C4—22no—
1532C3×C4—22no—
1533C3×C4—41no—
1534C3×C4—41no—
1535C3×C4—41no—
1536C3×C4—41no—
1537C3×C4—41no—
1538C3×C4—41no—
1539C3×C4—41no—
1540C3×C4—41no—
1541C3×C4—41no—
1542C3×C4—41no—
1543C3×C4—41no—
1544C3×C4—41no—
1545C3×C4—41no—
1546C3×C4—41no—
1547C3×C4—41no—
1548C3×C4—41no—
1549C3×C4—41no—
1550C3×C4—41no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—28no—
1586C23—28no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—44no—
1602C23—44no—
1603C23—44no—
1604C23—44no—
1605C23—44no—
1606C23—44no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—82no—
1612C23—82no—
1613C23—82no—
1614C23—82no—
1615C23—82no—
1616C23—82no—
1617C23—82no—
1618C23—82no—
1619C23—82no—
1620C23C22×C3×D412yes—
1621C23C22×C3×D412yes—
1622C23C22×C3×D412yes—
1623C23C22×C3×D412yes—
1624C23C2×C3×#4112yes—
1625C23C2×C3×#4112yes—
1626C23C2×C3×#4112yes—
1627C23C3×H(5,𝔽2)12yes—
1628C23C25×C311yescharacteristic
1629Q8—44no—
1630D4—28no—
1631D4—44no—
1632D4—44no—
1633D4—44no—
1634D4—44no—
1635D4—44no—
1636D4—44no—
1637D4—44no—
1638D4—44no—
1639D4—44no—
1640D4—44no—
1641D4—44no—
1642D4—44no—
1643D4—44no—
1644D4—44no—
1645D4—82no—
1646D4—82no—
1647D4—82no—
1648D4—82no—
1649C2×C4—28no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—82no—
1724C2×C4—82no—
1725C2×C4—82no—
1726C2×C4—82no—
1727C2×C4—82no—
1728C2×C4C22×C3×D412yes—
1729C2×C4C22×C3×D412yes—
1730C2×C4C22×C3×D412yes—
1731C2×C4C3×H(5,𝔽2)12yes—
1732C2×C4C3×H(5,𝔽2)12yes—
1733C2×C3—24no—
1734C2×C3—42no—
1735C2×C3—42no—
1736C2×C3—42no—
1737C2×C3—42no—
1738C2×C3—42no—
1739C2×C3—81no—
1740C2×C3—81no—
1741C2×C3#345911yescharacteristic
1742C2×C3C2×#54611yescharacteristic
1743C2×C3#348411yescharacteristic
1744C2×C3#348511yescharacteristic
1745C2×C3#350511yescharacteristic
1746C2×C3#354211yescharacteristic
1747C2×C3#354211yescharacteristic
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—22no—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—416no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—88no—
1805C22—88no—
1806C22C3×#54614yes—
1807C22C23×C3×D411yescharacteristic
1808C22C22×C3×#4111yescharacteristic
1809C22C2×C3×H(5,𝔽2)11yescharacteristic
1810C22C2×C3×H(5,𝔽2)11yescharacteristic
1811C22C2×C3×H(5,𝔽2)11yescharacteristic
1812C22C3×#58511yescharacteristic
1813C22C3×#58511yescharacteristic
1814C4—22no—
1815C4—22no—
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C3#3777611yescharacteristic, direct product factor, Sylow
1838C2—24no—
1839C2—42no—
1840C2—42no—
1841C2—42no—
1842C2—42no—
1843C2—42no—
1844C2—81no—
1845C2—81no—
1846C2C3×#345911yescharacteristic
1847C2C2×C3×#54611yescharacteristic
1848C2C3×#348411yescharacteristic
1849C2C3×#348511yescharacteristic
1850C2C3×#350511yescharacteristic
1851C2C3×#354211yescharacteristic
1852C2C3×#354211yescharacteristic
subgroupG/H
center, socleC23×C3C25
commutator, Frattini, cosocleC23C25×C3
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C3 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#534C2semidirect
2. C2×C3×#525C2semidirect
3. C3×#2849C2semidirect
4. C3×#2708C2semidirect
5. C3×#2706C2semidirect
6. C3×#2703C2semidirect
7. C3×#2697C2semidirect
8. C3×#2688C2semidirect
9. C3×#2687C2semidirect
10. C3×#2681C2semidirect
11. C3×#2678C2semidirect
12. C3×#2617C2semidirect
13. C3×#2613C2semidirect
14. C3×#2488C2semidirect
15. C3×#2476C2semidirect
16. C3×#2470C2semidirect
17. C3×#2457C2semidirect
18. C3×#2456C2semidirect
19. C3×#2437C2semidirect
20. C3×#2425C2semidirect
21. C3×#2425C2semidirect
22. C3×#2420C2semidirect
23. C3×#2419C2semidirect
24. C3×#2418C2semidirect
25. C3×#2410C2semidirect
26. C3×#2407C2semidirect
27. C3×#2404C2semidirect
28. C3×#2358C2semidirect
29. C3×D4×C22⋊C4C2semidirect
30. C3×#2321C2semidirect
31. C2×C3×#386C2semidirect
32. #37776C3direct (N × H)
33. C22×C3×#41C22semidirect
36. C24×C3×C4C22semidirect
43. C2×C3×#123C22semidirect
44. C2×C3×#123C22semidirect
45. C2×C3×#123C22semidirect
46. C2×C3×#123C22semidirect
47. C2×C3×#123C22semidirect
48. C2×C3×C22⋊Q8C22semidirect
49. C2×C3×C22⋊Q8C22semidirect
50. C2×C3×C22⋊Q8C22semidirect
57. C2×C3×#121C22semidirect
63. C2×C3×#120C22semidirect
64. C2×C3×#120C22semidirect
67. C2×C3×C4×D4C22semidirect
68. C2×C3×C4×D4C22semidirect
69. C2×C3×C4×D4C22semidirect
70. C2×C3×C4×D4C22semidirect
71. C2×C3×#117C22semidirect
75. C22×C3×C22⋊C4C22semidirect
76. C22×C3×C22⋊C4C22semidirect
77. C3×#400C22semidirect
78. C3×#400C22semidirect
79. C3×#400C22semidirect
80. C3×#399C22semidirect
81. C3×#398C22semidirect
82. C3×#398C22semidirect
83. C3×#398C22semidirect
84. C3×#397C22semidirect
85. C3×#397C22semidirect
86. C3×#397C22semidirect
87. C3×#397C22semidirect
88. C3×#397C22semidirect
89. C3×#397C22semidirect
90. C3×#397C22semidirect
91. C3×#396C22semidirect
92. C3×#396C22semidirect
93. C3×#396C22semidirect
94. C3×#396C22semidirect
97. C3×#394C22semidirect
98. C3×#394C22semidirect
99. C3×#394C22semidirect
100. C3×#394C22semidirect
101. C3×#394C22semidirect
102. C3×#394C22semidirect
103. C3×#394C22semidirect
104. C3×#394C22semidirect
105. C3×#394C22semidirect
106. C3×#394C22semidirect
107. C3×#393C22semidirect
108. C3×#393C22semidirect
111. C3×#392C22semidirect
112. C3×#392C22semidirect
113. C3×#392C22semidirect
114. C3×#392C22semidirect
115. C3×#392C22semidirect
116. C3×#392C22semidirect
117. C3×#391C22semidirect
118. C3×#390C22semidirect
119. C3×#390C22semidirect
120. C3×#390C22semidirect
121. C3×#390C22semidirect
122. C3×#390C22semidirect
123. C3×#389C22semidirect
124. C3×#389C22semidirect
125. C3×#388C22semidirect
126. C3×#388C22semidirect
127. C3×#388C22semidirect
128. C3×#388C22semidirect
129. C3×#388C22semidirect
130. C3×#388C22semidirect
131. C3×#388C22semidirect
132. C3×#388C22semidirect
133. C3×#388C22semidirect
134. C3×#388C22semidirect
135. C3×#387C22semidirect
136. C3×#387C22semidirect
145. C3×#386C22semidirect
146. C3×#386C22semidirect
147. C3×#386C22semidirect
148. C3×#386C22semidirect
149. C3×#386C22semidirect
150. C3×#386C22semidirect
151. C3×#386C22semidirect
152. C3×#386C22semidirect
153. C3×#386C22semidirect
154. C3×#386C22semidirect
155. C3×#386C22semidirect
156. C3×#386C22semidirect
157. C3×#386C22semidirect
158. C3×#386C22semidirect
159. C3×#386C22semidirect
160. C3×#386C22semidirect
161. C3×#385C22semidirect
162. C3×#385C22semidirect
163. C3×#385C22semidirect
164. C3×#385C22semidirect
165. C3×#385C22semidirect
166. C3×#385C22semidirect
167. C3×#385C22semidirect
168. C3×#385C22semidirect
169. C3×#385C22semidirect
170. C3×#385C22semidirect
171. C3×#382C22semidirect
172. C3×#381C22semidirect
173. C3×#381C22semidirect
174. C3×#381C22semidirect
175. C3×#381C22semidirect
176. C3×#380C22semidirect
177. C3×#380C22semidirect
178. C3×#380C22semidirect
179. C3×#380C22semidirect
180. C3×#380C22semidirect
182. C3×#379C22semidirect
183. C3×#379C22semidirect
184. C3×#379C22semidirect
185. C3×C4×C22⋊C4C22semidirect
186. C3×C4×C22⋊C4C22semidirect
187. C3×C4×C22⋊C4C22semidirect
188. C2×C3×#95C22semidirect
189. C2×C3×#95C22semidirect
190. C2×#534C2×C3semidirect
191. C2×#525C2×C3semidirect
192. #2849C2×C3semidirect
193. #2708C2×C3semidirect
194. #2706C2×C3semidirect
195. #2703C2×C3semidirect
196. #2697C2×C3semidirect
197. #2688C2×C3semidirect
198. #2687C2×C3semidirect
199. #2681C2×C3semidirect
200. #2678C2×C3semidirect
201. #2617C2×C3semidirect
202. #2613C2×C3semidirect
203. #2488C2×C3semidirect
204. #2476C2×C3semidirect
205. #2470C2×C3semidirect
206. #2457C2×C3semidirect
207. #2456C2×C3semidirect
208. #2437C2×C3semidirect
209. #2425C2×C3semidirect
210. #2425C2×C3semidirect
211. #2420C2×C3semidirect
212. #2419C2×C3semidirect
213. #2418C2×C3semidirect
214. #2410C2×C3semidirect
215. #2407C2×C3semidirect
216. #2404C2×C3semidirect
217. #2358C2×C3semidirect
218. D4×C22⋊C4C2×C3semidirect
219. #2321C2×C3semidirect
220. C2×#386C2×C3semidirect
296. C3×#120D4semidirect
426. C22×#41C22×C3semidirect
429. C24×C4C22×C3semidirect
436. C2×#123C22×C3semidirect
437. C2×#123C22×C3semidirect
438. C2×#123C22×C3semidirect
439. C2×#123C22×C3semidirect
440. C2×#123C22×C3semidirect
441. C2×C22⋊Q8C22×C3semidirect
442. C2×C22⋊Q8C22×C3semidirect
443. C2×C22⋊Q8C22×C3semidirect
450. C2×#121C22×C3semidirect
456. C2×#120C22×C3semidirect
457. C2×#120C22×C3semidirect
460. C2×C4×D4C22×C3semidirect
461. C2×C4×D4C22×C3semidirect
462. C2×C4×D4C22×C3semidirect
463. C2×C4×D4C22×C3semidirect
464. C2×#117C22×C3semidirect
468. C22×C22⋊C4C22×C3semidirect
469. C22×C22⋊C4C22×C3semidirect
470. #400C22×C3semidirect
471. #400C22×C3semidirect
472. #400C22×C3semidirect
473. #399C22×C3semidirect
474. #398C22×C3semidirect
475. #398C22×C3semidirect
476. #398C22×C3semidirect
477. #397C22×C3semidirect
478. #397C22×C3semidirect
479. #397C22×C3semidirect
480. #397C22×C3semidirect
481. #397C22×C3semidirect
482. #397C22×C3semidirect
483. #397C22×C3semidirect
484. #396C22×C3semidirect
485. #396C22×C3semidirect
486. #396C22×C3semidirect
487. #396C22×C3semidirect
490. #394C22×C3semidirect
491. #394C22×C3semidirect
492. #394C22×C3semidirect
493. #394C22×C3semidirect
494. #394C22×C3semidirect
495. #394C22×C3semidirect
496. #394C22×C3semidirect
497. #394C22×C3semidirect
498. #394C22×C3semidirect
499. #394C22×C3semidirect
500. #393C22×C3semidirect
501. #393C22×C3semidirect
504. #392C22×C3semidirect
505. #392C22×C3semidirect
506. #392C22×C3semidirect
507. #392C22×C3semidirect
508. #392C22×C3semidirect
509. #392C22×C3semidirect
510. #391C22×C3semidirect
511. #390C22×C3semidirect
512. #390C22×C3semidirect
513. #390C22×C3semidirect
514. #390C22×C3semidirect
515. #390C22×C3semidirect
516. #389C22×C3semidirect
517. #389C22×C3semidirect
518. #388C22×C3semidirect
519. #388C22×C3semidirect
520. #388C22×C3semidirect
521. #388C22×C3semidirect
522. #388C22×C3semidirect
523. #388C22×C3semidirect
524. #388C22×C3semidirect
525. #388C22×C3semidirect
526. #388C22×C3semidirect
527. #388C22×C3semidirect
528. #387C22×C3semidirect
529. #387C22×C3semidirect
538. #386C22×C3semidirect
539. #386C22×C3semidirect
540. #386C22×C3semidirect
541. #386C22×C3semidirect
542. #386C22×C3semidirect
543. #386C22×C3semidirect
544. #386C22×C3semidirect
545. #386C22×C3semidirect
546. #386C22×C3semidirect
547. #386C22×C3semidirect
548. #386C22×C3semidirect
549. #386C22×C3semidirect
550. #386C22×C3semidirect
551. #386C22×C3semidirect
552. #386C22×C3semidirect
553. #386C22×C3semidirect
554. #385C22×C3semidirect
555. #385C22×C3semidirect
556. #385C22×C3semidirect
557. #385C22×C3semidirect
558. #385C22×C3semidirect
559. #385C22×C3semidirect
560. #385C22×C3semidirect
561. #385C22×C3semidirect
562. #385C22×C3semidirect
563. #385C22×C3semidirect
564. #382C22×C3semidirect
565. #381C22×C3semidirect
566. #381C22×C3semidirect
567. #381C22×C3semidirect
568. #381C22×C3semidirect
569. #380C22×C3semidirect
570. #380C22×C3semidirect
571. #380C22×C3semidirect
572. #380C22×C3semidirect
573. #380C22×C3semidirect
575. #379C22×C3semidirect
576. #379C22×C3semidirect
577. #379C22×C3semidirect
578. C4×C22⋊C4C22×C3semidirect
579. C4×C22⋊C4C22×C3semidirect
580. C4×C22⋊C4C22×C3semidirect
581. C2×#95C22×C3semidirect
582. C2×#95C22×C3semidirect
603. C24×C3#41semidirect
904. #120C3×D4semidirect
1236. C24C3×#41semidirect
1837. C3#37776direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5342
C2×C3×#5252
C3×#28492
C3×#27082
C3×#27062
C3×#27032
C3×#26972
C3×#26882
C3×#26872
C3×#26812
C3×#26782
C3×#26172
C3×#26132
C3×#24882
C3×#24762
C3×#24702
C3×#24572
C3×#24562
C3×#24372
C3×#24252
C3×#24202
C3×#24192
C3×#24182
C3×#24102
C3×#24072
C3×#24042
C3×#23582
C3×D4×C22⋊C42
C3×#23212
C2×C3×#3862
#377763