Finite Group Databasebeta

← C31×#36779 #21493538

Subgroups — C31×#36779 #21493538

Order 7936.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C31×#2852C211yesmaximal, characteristic, complemented
2C31×#2850C211yesmaximal, characteristic, complemented
3C31×#2781C211yesmaximal, characteristic, complemented
4C31×#2781C211yesmaximal, characteristic, complemented
5C31×#2778C211yesmaximal, characteristic, complemented
6C31×#2765C211yesmaximal, characteristic, complemented
7C31×#2764C211yesmaximal, characteristic, complemented
8C31×#2761C211yesmaximal, characteristic, complemented
9C31×#2756C211yesmaximal, characteristic, complemented
10C31×#2749C211yesmaximal, characteristic, complemented
11C31×#2743C211yesmaximal, characteristic, complemented
12C31×#2741C211yesmaximal, characteristic, complemented
13C31×#2735C211yesmaximal, characteristic, complemented
14C31×#2735C211yesmaximal, characteristic, complemented
15C31×#2730C211yesmaximal, characteristic, complemented
16C31×#2702C211yesmaximal, characteristic, complemented
17C31×#2685C211yesmaximal, characteristic, complemented
18C31×#2684C211yesmaximal, characteristic, complemented
19C31×#2623C211yesmaximal, characteristic, complemented
20C31×#2618C211yesmaximal, characteristic, complemented
21C31×#2510C211yesmaximal, characteristic, complemented
22C31×#2488C211yesmaximal, characteristic, complemented
23C31×#2444C211yesmaximal, characteristic, complemented
24C31×#2437C211yesmaximal, characteristic, complemented
25C31×#2425C211yesmaximal, characteristic, complemented
26C31×#2412C211yesmaximal, characteristic, complemented
27C31×#2410C211yesmaximal, characteristic
28C31×#2405C211yesmaximal, characteristic, complemented
29C31×#2321C211yesmaximal, characteristic, complemented
30C31×#2308C211yesmaximal, characteristic, complemented
31C2×C31×#388C211yesmaximal, characteristic, complemented
32C23×D4×C31C2211yescharacteristic
33C2×C31×#126C2211yescharacteristic, complemented
34C2×C31×#124C2211yescharacteristic, complemented
35C2×C31×#123C2211yescharacteristic
36C2×C31×#123C2211yescharacteristic
37C2×C31×#123C2211yescharacteristic, complemented
38C2×C31×C22⋊Q8C2211yescharacteristic, complemented
39C2×C31×C22⋊Q8C2211yescharacteristic, complemented
40C2×C31×#121C2211yescharacteristic
41C2×C31×#121C2211yescharacteristic
42C2×C31×#120C2211yescharacteristic
43C2×C31×#120C2211yescharacteristic
44C2×C4×D4×C31C2211yescharacteristic, complemented
45C22×C4⋊C4×C31C2211yescharacteristic, complemented
46C22×C22⋊C4×C31C2211yescharacteristic
47C22×C22⋊C4×C31C2211yescharacteristic
48C22×C22⋊C4×C31C2211yescharacteristic
49C22×C22⋊C4×C31C2211yescharacteristic
50C22×C42×C31C2211yescharacteristic, complemented
51C31×#401C2211yescharacteristic, complemented
52C31×#400C2211yescharacteristic, complemented
53C31×#400C2211yescharacteristic, complemented
54C31×#400C2211yescharacteristic, complemented
55C31×#400C2211yescharacteristic, complemented
56C31×#400C2211yescharacteristic, complemented
57C31×#400C2211yescharacteristic, complemented
58C31×#399C2211yescharacteristic
59C31×#399C2211yescharacteristic, complemented
60C31×#399C2211yescharacteristic, complemented
61C31×#398C2211yescharacteristic, complemented
62C31×#398C2211yescharacteristic, complemented
63C31×#398C2211yescharacteristic, complemented
64C31×#398C2211yescharacteristic, complemented
65C31×#398C2211yescharacteristic, complemented
66C31×#397C2211yescharacteristic
67C31×#397C2211yescharacteristic
68C31×#397C2211yescharacteristic, complemented
69C31×#397C2211yescharacteristic, complemented
70C31×#397C2211yescharacteristic, complemented
71C31×#397C2211yescharacteristic, complemented
72C31×#397C2211yescharacteristic, complemented
73C31×#397C2211yescharacteristic, complemented
74C31×#397C2211yescharacteristic, complemented
75C31×#397C2211yescharacteristic, complemented
76C31×#396C2211yescharacteristic
77C31×#396C2211yescharacteristic
78C31×#396C2211yescharacteristic, complemented
79C31×#396C2211yescharacteristic, complemented
80C31×#396C2211yescharacteristic, complemented
81C31×#396C2211yescharacteristic, complemented
82C31×#396C2211yescharacteristic, complemented
83C31×#394C2211yescharacteristic
84C31×#394C2211yescharacteristic
85C31×#394C2211yescharacteristic
86C31×#394C2211yescharacteristic
87C31×#394C2211yescharacteristic
88C31×#394C2211yescharacteristic
89C31×#394C2211yescharacteristic
90C31×#394C2211yescharacteristic
91C31×#394C2211yescharacteristic, complemented
92C31×#394C2211yescharacteristic, complemented
93C31×#394C2211yescharacteristic, complemented
94C31×#394C2211yescharacteristic, complemented
95C31×#393C2211yescharacteristic
96C31×#393C2211yescharacteristic, complemented
97C31×#392C2211yescharacteristic
98C31×#392C2211yescharacteristic
99C31×#391C2211yescharacteristic, complemented
100C31×#391C2211yescharacteristic, complemented
101C31×#390C2211yescharacteristic
102C31×#390C2211yescharacteristic, complemented
103C31×#390C2211yescharacteristic, complemented
104C31×#389C2211yescharacteristic, complemented
105C31×#388C2211yescharacteristic
106C31×#388C2211yescharacteristic
107C31×#388C2211yescharacteristic
108C31×#388C2211yescharacteristic
109C31×#388C2211yescharacteristic
110C31×#388C2211yescharacteristic
111C31×#388C2211yescharacteristic, complemented
112C31×#388C2211yescharacteristic, complemented
113C31×#388C2211yescharacteristic, complemented
114C31×#388C2211yescharacteristic, complemented
115C31×#388C2211yescharacteristic, complemented
116C31×#388C2211yescharacteristic, complemented
117C31×#388C2211yescharacteristic, complemented
118C31×#388C2211yescharacteristic, complemented
119C31×#388C2211yescharacteristic, complemented
120C31×#388C2211yescharacteristic, complemented
121C31×#388C2211yescharacteristic, complemented
122C31×#388C2211yescharacteristic, complemented
123C31×#388C2211yescharacteristic, complemented
124C31×#388C2211yescharacteristic, complemented
125C31×#388C2211yescharacteristic, complemented
126C31×#388C2211yescharacteristic, complemented
127C31×#388C2211yescharacteristic, complemented
128C31×#388C2211yescharacteristic, complemented
129C31×#388C2211yescharacteristic, complemented
130C31×#387C2211yescharacteristic, complemented
131C31×#387C2211yescharacteristic, complemented
132C31×#387C2211yescharacteristic, complemented
133C31×#387C2211yescharacteristic, complemented
134C31×#387C2211yescharacteristic, complemented
135C31×#386C2211yescharacteristic
136C31×#386C2211yescharacteristic
137C31×#386C2211yescharacteristic
138C31×#386C2211yescharacteristic
139C31×#386C2211yescharacteristic
140C31×#386C2211yescharacteristic
141C31×#386C2211yescharacteristic
142C31×#386C2211yescharacteristic
143C31×#386C2211yescharacteristic
144C31×#386C2211yescharacteristic
145C31×#386C2211yescharacteristic
146C31×#386C2211yescharacteristic
147C31×#386C2211yescharacteristic
148C31×#386C2211yescharacteristic
149C31×#386C2211yescharacteristic, complemented
150C31×#386C2211yescharacteristic, complemented
151C31×#386C2211yescharacteristic, complemented
152C31×#386C2211yescharacteristic, complemented
153C31×#386C2211yescharacteristic, complemented
154C31×#386C2211yescharacteristic, complemented
155C31×#386C2211yescharacteristic, complemented
156C31×#385C2211yescharacteristic
157C31×#385C2211yescharacteristic
158C31×#385C2211yescharacteristic
159C31×#385C2211yescharacteristic, complemented
160C31×#385C2211yescharacteristic, complemented
161C31×#385C2211yescharacteristic, complemented
162C31×#385C2211yescharacteristic, complemented
163C31×#385C2211yescharacteristic, complemented
164C31×#385C2211yescharacteristic, complemented
165C31×#383C2211yescharacteristic, complemented
166C31×#383C2211yescharacteristic, complemented
167C31×#382C2211yescharacteristic, complemented
168C31×#382C2211yescharacteristic, complemented
169C31×#381C2211yescharacteristic
170C31×#381C2211yescharacteristic
171C31×#381C2211yescharacteristic, complemented
172C31×#381C2211yescharacteristic, complemented
173C31×#380C2211yescharacteristic, complemented
174C31×#380C2211yescharacteristic, complemented
175C31×#380C2211yescharacteristic, complemented
176C31×#380C2211yescharacteristic, complemented
177C31×#380C2211yescharacteristic, complemented
178C31×#379C2211yescharacteristic
179C31×#379C2211yescharacteristic
180C31×#379C2211yescharacteristic
181C31×#379C2211yescharacteristic
182C31×#379C2211yescharacteristic
183C31×#379C2211yescharacteristic
184C4×C22⋊C4×C31C2211yescharacteristic, complemented
185C2×C31×#95C2211yescharacteristic, complemented
186C2×C31×#95C2211yescharacteristic, complemented
187C25×C31C2311yescharacteristic
188C25×C31C2311yescharacteristic
189C22×Q8×C31C2311yescharacteristic
190C22×D4×C31—24no—
191C22×D4×C31—42no—
192C22×D4×C31—42no—
193C22×D4×C31C2311yescharacteristic
194C22×D4×C31C2311yescharacteristic
195C22×D4×C31C2311yescharacteristic
196C22×D4×C31C2311yescharacteristic
197C22×D4×C31C2311yescharacteristic
198C22×D4×C31C2311yescharacteristic
199C22×D4×C31C2311yescharacteristic
200C22×D4×C31C2311yescharacteristic
201C22×D4×C31C2311yescharacteristic
202C23×C4×C31C2311yescharacteristic
203C23×C4×C31C2311yescharacteristic
204C23×C4×C31C2311yescharacteristic
205C23×C4×C31C2311yescharacteristic
206C23×C4×C31C2311yescharacteristic
207C23×C4×C31C2311yescharacteristic
208C23×C4×C31C2311yescharacteristic
209C23×C4×C31C2311yescharacteristic
210C23×C4×C31C2311yescharacteristic
211C23×C4×C31C2311yescharacteristic
212C31×#126—42no—
213C31×#124—42no—
214C31×#123—42no—
215C31×#123—42no—
216C31×#123—42no—
217C31×C22⋊Q8—42no—
218C31×C22⋊Q8—42no—
219C31×#121—42no—
220C31×#121—42no—
221C31×#120—24no—
222C31×#120—42no—
223C4×D4×C31—42no—
224C2×C4⋊C4×C31—42no—
225C2×C4⋊C4×C31C2311yescharacteristic
226C2×C4⋊C4×C31C2311yescharacteristic
227C2×C4⋊C4×C31C2311yescharacteristic
228C2×C4⋊C4×C31C2311yescharacteristic
229C2×C4⋊C4×C31C2311yescharacteristic
230C2×C4⋊C4×C31C2311yescharacteristic
231C2×C4⋊C4×C31C2311yescharacteristic
232C2×C4⋊C4×C31C2311yescharacteristic
233C2×C4⋊C4×C31C2311yescharacteristic
234C2×C4⋊C4×C31C2311yescharacteristic
235C2×C4⋊C4×C31C2311yescharacteristic
236C2×C4⋊C4×C31C2311yescharacteristic
237C2×C4⋊C4×C31C2311yescharacteristic
238C2×C4⋊C4×C31C2311yescharacteristic
239C2×C4⋊C4×C31C2311yescharacteristic
240C2×C4⋊C4×C31C2311yescharacteristic
241C2×C4⋊C4×C31C2311yescharacteristic
242C2×C4⋊C4×C31C2311yescharacteristic
243C2×C4⋊C4×C31C2311yescharacteristic
244C2×C4⋊C4×C31C2311yescharacteristic
245C2×C4⋊C4×C31C2311yescharacteristic
246C2×C4⋊C4×C31C2311yescharacteristic
247C2×C4⋊C4×C31C2311yescharacteristic
248C2×C4⋊C4×C31C2311yescharacteristic
249C2×C4⋊C4×C31C2311yescharacteristic
250C2×C4⋊C4×C31C2311yescharacteristic
251C2×C22⋊C4×C31—24no—
252C2×C22⋊C4×C31—42no—
253C2×C22⋊C4×C31—42no—
254C2×C22⋊C4×C31—42no—
255C2×C22⋊C4×C31C2311yescharacteristic
256C2×C22⋊C4×C31C2311yescharacteristic
257C2×C22⋊C4×C31C2311yescharacteristic
258C2×C22⋊C4×C31C2311yescharacteristic
259C2×C22⋊C4×C31C2311yescharacteristic
260C2×C22⋊C4×C31C2311yescharacteristic
261C2×C22⋊C4×C31C2311yescharacteristic
262C2×C22⋊C4×C31C2311yescharacteristic
263C2×C22⋊C4×C31C2311yescharacteristic
264C2×C22⋊C4×C31C2311yescharacteristic
265C2×C22⋊C4×C31C2311yescharacteristic
266C2×C22⋊C4×C31C2311yescharacteristic
267C2×C22⋊C4×C31C2311yescharacteristic
268C2×C22⋊C4×C31C2311yescharacteristic
269C2×C22⋊C4×C31C2311yescharacteristic
270C2×C22⋊C4×C31C2311yescharacteristic
271C2×C22⋊C4×C31C2311yescharacteristic
272C2×C22⋊C4×C31C2311yescharacteristic
273C2×C22⋊C4×C31C2311yescharacteristic
274C2×C22⋊C4×C31C2311yescharacteristic
275C2×C22⋊C4×C31C2311yescharacteristic
276C2×C22⋊C4×C31C2311yescharacteristic
277C2×C22⋊C4×C31C2311yescharacteristic
278C2×C22⋊C4×C31C2311yescharacteristic
279C2×C22⋊C4×C31C2311yescharacteristic
280C2×C22⋊C4×C31C2311yescharacteristic
281C2×C22⋊C4×C31C2311yescharacteristic
282C2×C22⋊C4×C31C2311yescharacteristic
283C2×C22⋊C4×C31C2311yescharacteristic
284C2×C22⋊C4×C31C2311yescharacteristic
285C2×C22⋊C4×C31C2311yescharacteristic
286C2×C22⋊C4×C31C2311yescharacteristic
287C2×C22⋊C4×C31C2311yescharacteristic
288C2×C22⋊C4×C31C2311yescharacteristic
289C2×C22⋊C4×C31C2311yescharacteristic
290C2×C22⋊C4×C31C2311yescharacteristic
291C2×C22⋊C4×C31C2311yescharacteristic
292C2×C22⋊C4×C31C2311yescharacteristic
293C2×C22⋊C4×C31C2311yescharacteristic
294C2×C22⋊C4×C31C2311yescharacteristic
295C2×C22⋊C4×C31C2311yescharacteristic
296C2×C22⋊C4×C31C2311yescharacteristic
297C2×C22⋊C4×C31C2311yescharacteristic
298C2×C22⋊C4×C31C2311yescharacteristic
299C2×C22⋊C4×C31C2311yescharacteristic
300C2×C22⋊C4×C31C2311yescharacteristic
301C2×C22⋊C4×C31C2311yescharacteristic
302C2×C22⋊C4×C31C2311yescharacteristic
303C2×C22⋊C4×C31C2311yescharacteristic
304C2×C22⋊C4×C31C2311yescharacteristic
305C2×C22⋊C4×C31C2311yescharacteristic
306C2×C22⋊C4×C31C2311yescharacteristic
307C2×C22⋊C4×C31C2311yescharacteristic
308C2×C22⋊C4×C31C2311yescharacteristic
309C2×C22⋊C4×C31C2311yescharacteristic
310C2×C22⋊C4×C31C2311yescharacteristic
311C2×C42×C31—42no—
312C2×C42×C31C2311yescharacteristic
313C2×C42×C31C2311yescharacteristic
314C2×C42×C31C2311yescharacteristic
315C2×C42×C31C2311yescharacteristic
316C2×C42×C31C2311yescharacteristic
317C2×C42×C31C2311yescharacteristic
318C2×C42×C31C2311yescharacteristic
319C31×#95C2311yescharacteristic
320C31×#95C2311yescharacteristic
321C31×#95C2311yescharacteristic
322C31×#95C2311yescharacteristic
323C31×#95C2311yescharacteristic
324C31×#95C2311yescharacteristic
325C31×#95C2311yescharacteristic
326C31×#95C2311yescharacteristic
327C31×#95C2311yescharacteristic
328C31×#95C2311yescharacteristic
329C31×#95C2311yescharacteristic
330C31×#95C2311yescharacteristic
331C31×#95C2311yescharacteristic
332C31×#95C2311yescharacteristic
333C31×#95C2311yescharacteristic
334C31×#95C2311yescharacteristic
335C31×#95C2311yescharacteristic
336C31×#95C2311yescharacteristic
337C31×#95C2311yescharacteristic
338C31×#95C2311yescharacteristic
339C31×#95C2311yescharacteristic
340C31×#95C2311yescharacteristic
341C31×#95C2311yescharacteristic
342C31×#95C2311yescharacteristic
343C31×#95C2311yescharacteristic
344C31×#95C2311yescharacteristic
345C31×#95C2311yescharacteristic
346C31×#95C2311yescharacteristic
347C31×#95C2311yescharacteristic
348C31×#95C2311yescharacteristic
349C31×#95C2311yescharacteristic
350C31×#95C2311yescharacteristic
351C31×#95C2311yescharacteristic
352C31×#95C2311yescharacteristic
353C31×#95C2311yescharacteristic
354C31×#95C2311yescharacteristic
355C31×#95C2311yescharacteristic
356C31×#95C2311yescharacteristic
357C31×#95C2311yescharacteristic
358C31×#95C2311yescharacteristic
359C31×#95C2311yescharacteristic
360C31×#95C2311yescharacteristic
361C31×#95C2311yescharacteristic
362C31×#95C2311yescharacteristic
363C24×C31—22no—
364C24×C31—22no—
365C24×C31—22no—
366C24×C31—41no—
367C24×C31—41no—
368C24×C31—41no—
369C24×C31—41no—
370C24×C31—41no—
371C24×C31—41no—
372C24×C31—41no—
373C24×C31—41no—
374C24×C31—41no—
375C24×C31—41no—
376C24×C31#4114yes—
377C24×C31C2411yescharacteristic
378C24×C31C2411yescharacteristic
379C24×C31C2411yescharacteristic
380C24×C31C2411yescharacteristic
381C24×C31C2411yescharacteristic
382C24×C31C2411yescharacteristic
383C2×Q8×C31—22no—
384C2×Q8×C31—41no—
385C2×Q8×C31—41no—
386C2×D4×C31—22no—
387C2×D4×C31—22no—
388C2×D4×C31—22no—
389C2×D4×C31—22no—
390C2×D4×C31—22no—
391C2×D4×C31—22no—
392C2×D4×C31—22no—
393C2×D4×C31—22no—
394C2×D4×C31—22no—
395C2×D4×C31—22no—
396C2×D4×C31—22no—
397C2×D4×C31—22no—
398C2×D4×C31—22no—
399C2×D4×C31—22no—
400C2×D4×C31—41no—
401C2×D4×C31—41no—
402C2×D4×C31—41no—
403C2×D4×C31—41no—
404C2×D4×C31—41no—
405C2×D4×C31—41no—
406C2×D4×C31—41no—
407C2×D4×C31—41no—
408C2×D4×C31—41no—
409C2×D4×C31—41no—
410C2×D4×C31—41no—
411C2×D4×C31—41no—
412C2×D4×C31—41no—
413C2×D4×C31—416no—
414C22×C4×C31—22no—
415C22×C4×C31—22no—
416C22×C4×C31—22no—
417C22×C4×C31—22no—
418C22×C4×C31—22no—
419C22×C4×C31—22no—
420C22×C4×C31—22no—
421C22×C4×C31—22no—
422C22×C4×C31—22no—
423C22×C4×C31—22no—
424C22×C4×C31—41no—
425C22×C4×C31—41no—
426C22×C4×C31—41no—
427C22×C4×C31—41no—
428C22×C4×C31—41no—
429C22×C4×C31—41no—
430C22×C4×C31—41no—
431C22×C4×C31—41no—
432C22×C4×C31—41no—
433C22×C4×C31—41no—
434C22×C4×C31—41no—
435C22×C4×C31—41no—
436C22×C4×C31—41no—
437C22×C4×C31—41no—
438C22×C4×C31—41no—
439C22×C4×C31—41no—
440C22×C4×C31—41no—
441C22×C4×C31—41no—
442C22×C4×C31—41no—
443C22×C4×C31—41no—
444C22×C4×C31C2411yescharacteristic
445C22×C4×C31C2411yescharacteristic
446C22×C4×C31C2411yescharacteristic
447C22×C4×C31C2411yescharacteristic
448C22×C4×C31C2411yescharacteristic
449C22×C4×C31C2411yescharacteristic
450C22×C4×C31C2411yescharacteristic
451C22×C4×C31C2411yescharacteristic
452C22×C4×C31C2411yescharacteristic
453C22×C4×C31C2411yescharacteristic
454C22×C4×C31C2411yescharacteristic
455C22×C4×C31C2411yescharacteristic
456C22×C4×C31C2411yescharacteristic
457C22×C4×C31C2411yescharacteristic
458C22×C4×C31C2411yescharacteristic
459C22×C4×C31C2411yescharacteristic
460C22×C4×C31C2411yescharacteristic
461C22×C4×C31C2411yescharacteristic
462C22×C4×C31C2411yescharacteristic
463C22×C4×C31C2411yescharacteristic
464C22×C4×C31C2411yescharacteristic
465C22×C4×C31C2411yescharacteristic
466C22×C4×C31C2411yescharacteristic
467C22×C4×C31C2411yescharacteristic
468C22×C4×C31C2411yescharacteristic
469C4⋊C4×C31—22no—
470C4⋊C4×C31—41no—
471C4⋊C4×C31—41no—
472C4⋊C4×C31—41no—
473C4⋊C4×C31—41no—
474C4⋊C4×C31—41no—
475C4⋊C4×C31—41no—
476C4⋊C4×C31—41no—
477C4⋊C4×C31—41no—
478C4⋊C4×C31—41no—
479C4⋊C4×C31—41no—
480C4⋊C4×C31—41no—
481C4⋊C4×C31—41no—
482C4⋊C4×C31—41no—
483C4⋊C4×C31—41no—
484C4⋊C4×C31—41no—
485C4⋊C4×C31—41no—
486C4⋊C4×C31—41no—
487C4⋊C4×C31—41no—
488C4⋊C4×C31—41no—
489C4⋊C4×C31—41no—
490C4⋊C4×C31—41no—
491C4⋊C4×C31—41no—
492C4⋊C4×C31—41no—
493C4⋊C4×C31—41no—
494C4⋊C4×C31—41no—
495C22⋊C4×C31—22no—
496C22⋊C4×C31—22no—
497C22⋊C4×C31—22no—
498C22⋊C4×C31—22no—
499C22⋊C4×C31—22no—
500C22⋊C4×C31—22no—
501C22⋊C4×C31—22no—
502C22⋊C4×C31—22no—
503C22⋊C4×C31—22no—
504C22⋊C4×C31—22no—
505C22⋊C4×C31—22no—
506C22⋊C4×C31—22no—
507C22⋊C4×C31—22no—
508C22⋊C4×C31—22no—
509C22⋊C4×C31—41no—
510C22⋊C4×C31—41no—
511C22⋊C4×C31—41no—
512C22⋊C4×C31—41no—
513C22⋊C4×C31—41no—
514C22⋊C4×C31—41no—
515C22⋊C4×C31—41no—
516C22⋊C4×C31—41no—
517C22⋊C4×C31—41no—
518C22⋊C4×C31—41no—
519C22⋊C4×C31—41no—
520C22⋊C4×C31—41no—
521C22⋊C4×C31—41no—
522C22⋊C4×C31—41no—
523C22⋊C4×C31—41no—
524C22⋊C4×C31—41no—
525C22⋊C4×C31—41no—
526C22⋊C4×C31—41no—
527C22⋊C4×C31—41no—
528C22⋊C4×C31—41no—
529C22⋊C4×C31—41no—
530C22⋊C4×C31—41no—
531C22⋊C4×C31—41no—
532C22⋊C4×C31—41no—
533C22⋊C4×C31—41no—
534C22⋊C4×C31—41no—
535C22⋊C4×C31—41no—
536C22⋊C4×C31—41no—
537C22⋊C4×C31—41no—
538C22⋊C4×C31—41no—
539C22⋊C4×C31—41no—
540C22⋊C4×C31—41no—
541C22⋊C4×C31—41no—
542C22⋊C4×C31—41no—
543C22⋊C4×C31—41no—
544C22⋊C4×C31—41no—
545C22⋊C4×C31—41no—
546C22⋊C4×C31—41no—
547C22⋊C4×C31—41no—
548C22⋊C4×C31—41no—
549C22⋊C4×C31—41no—
550C22⋊C4×C31—41no—
551C42×C31—22no—
552C42×C31—22no—
553C42×C31—41no—
554C42×C31—41no—
555C42×C31—41no—
556C42×C31—41no—
557C42×C31—41no—
558#36779C3111yesmaximal, characteristic, direct product factor, Sylow
559C23×C31—21no—
560C23×C31—21no—
561C23×C31—21no—
562C23×C31—21no—
563C23×C31—21no—
564C23×C31—21no—
565C23×C31—21no—
566C23×C31—21no—
567C23×C31—21no—
568C23×C31—21no—
569C23×C31—21no—
570C23×C31—21no—
571C23×C31—21no—
572C23×C31—21no—
573C23×C31—21no—
574C23×C31—21no—
575C23×C31—28no—
576C23×C31—21no—
577C23×C31—21no—
578C23×C31—21no—
579C23×C31—21no—
580C23×C31—21no—
581C23×C31—21no—
582C23×C31—21no—
583C23×C31—21no—
584C23×C31—21no—
585C23×C31—21no—
586C23×C31—21no—
587C23×C31—21no—
588C23×C31—21no—
589C23×C31—21no—
590C23×C31—21no—
591C23×C31—21no—
592C23×C31—21no—
593C23×C31—21no—
594C23×C31—21no—
595C23×C31—21no—
596C23×C31—21no—
597C23×C31—44no—
598C23×C31—44no—
599C23×C31—44no—
600C23×C31—82no—
601C23×C31—82no—
602C23×C31—82no—
603C23×C31—82no—
604C23×C31—82no—
605C23×C31—82no—
606C23×C31—82no—
607C23×C31—82no—
608C23×C31—82no—
609C23×C31—82no—
610C23×C31C2×#4112yes—
611C23×C31C2×#4112yes—
612C23×C31C2×#4112yes—
613C23×C31H(5,𝔽2)12yes—
614C23×C31H(5,𝔽2)12yes—
615C23×C31C2511yescharacteristic
616Q8×C31—82no—
617D4×C31—44no—
618D4×C31—44no—
619D4×C31—44no—
620D4×C31—44no—
621D4×C31—44no—
622D4×C31—82no—
623D4×C31—82no—
624D4×C31—82no—
625D4×C31—82no—
626C2×C4×C31—21no—
627C2×C4×C31—21no—
628C2×C4×C31—21no—
629C2×C4×C31—21no—
630C2×C4×C31—21no—
631C2×C4×C31—21no—
632C2×C4×C31—21no—
633C2×C4×C31—21no—
634C2×C4×C31—21no—
635C2×C4×C31—21no—
636C2×C4×C31—21no—
637C2×C4×C31—21no—
638C2×C4×C31—21no—
639C2×C4×C31—21no—
640C2×C4×C31—21no—
641C2×C4×C31—21no—
642C2×C4×C31—21no—
643C2×C4×C31—21no—
644C2×C4×C31—21no—
645C2×C4×C31—21no—
646C2×C4×C31—21no—
647C2×C4×C31—21no—
648C2×C4×C31—21no—
649C2×C4×C31—21no—
650C2×C4×C31—21no—
651C2×C4×C31—21no—
652C2×C4×C31—21no—
653C2×C4×C31—21no—
654C2×C4×C31—21no—
655C2×C4×C31—21no—
656C2×C4×C31—21no—
657C2×C4×C31—21no—
658C2×C4×C31—21no—
659C2×C4×C31—21no—
660C2×C4×C31—21no—
661C2×C4×C31—21no—
662C2×C4×C31—21no—
663C2×C4×C31—21no—
664C2×C4×C31—21no—
665C2×C4×C31—21no—
666C2×C4×C31—21no—
667C2×C4×C31—21no—
668C2×C4×C31—21no—
669C2×C4×C31—21no—
670C2×C4×C31—21no—
671C2×C4×C31—21no—
672C2×C4×C31—21no—
673C2×C4×C31—21no—
674C2×C4×C31—21no—
675C2×C4×C31—21no—
676C2×C4×C31—21no—
677C2×C4×C31—21no—
678C2×C4×C31—21no—
679C2×C4×C31—21no—
680C2×C4×C31—21no—
681C2×C4×C31—21no—
682C2×C4×C31—21no—
683C2×C4×C31—21no—
684C2×C4×C31—21no—
685C2×C4×C31—21no—
686C2×C4×C31—21no—
687C2×C4×C31—21no—
688C2×C4×C31—21no—
689C2×C4×C31—21no—
690C2×C4×C31—21no—
691C2×C4×C31—21no—
692C2×C4×C31—21no—
693C2×C4×C31—21no—
694C2×C4×C31—21no—
695C2×C4×C31—21no—
696C2×C4×C31—21no—
697C2×C4×C31—21no—
698C2×C4×C31—21no—
699C2×C4×C31—21no—
700C2×C4×C31—44no—
701C2×C4×C31—44no—
702C2×C4×C31—44no—
703C2×C4×C31—44no—
704C2×C4×C31—44no—
705C2×C4×C31—82no—
706C2×C4×C31—82no—
707C2×C4×C31—82no—
708C2×C4×C31—82no—
709C2×C4×C31—82no—
710C2×C4×C31H(5,𝔽2)12yes—
711#2852C2×C3111yescharacteristic, complemented
712#2850C2×C3111yescharacteristic, complemented
713#2781C2×C3111yescharacteristic, complemented
714#2781C2×C3111yescharacteristic, complemented
715#2778C2×C3111yescharacteristic, complemented
716#2765C2×C3111yescharacteristic, complemented
717#2764C2×C3111yescharacteristic, complemented
718#2761C2×C3111yescharacteristic, complemented
719#2756C2×C3111yescharacteristic, complemented
720#2749C2×C3111yescharacteristic, complemented
721#2743C2×C3111yescharacteristic, complemented
722#2741C2×C3111yescharacteristic, complemented
723#2735C2×C3111yescharacteristic, complemented
724#2735C2×C3111yescharacteristic, complemented
725#2730C2×C3111yescharacteristic, complemented
726#2702C2×C3111yescharacteristic, complemented
727#2685C2×C3111yescharacteristic, complemented
728#2684C2×C3111yescharacteristic, complemented
729#2623C2×C3111yescharacteristic, complemented
730#2618C2×C3111yescharacteristic, complemented
731#2510C2×C3111yescharacteristic, complemented
732#2488C2×C3111yescharacteristic, complemented
733#2444C2×C3111yescharacteristic, complemented
734#2437C2×C3111yescharacteristic, complemented
735#2425C2×C3111yescharacteristic, complemented
736#2412C2×C3111yescharacteristic, complemented
737#2410C2×C3111yescharacteristic
738#2405C2×C3111yescharacteristic, complemented
739#2321C2×C3111yescharacteristic, complemented
740#2308C2×C3111yescharacteristic, complemented
741C2×#388C2×C3111yescharacteristic, complemented
742C22×C31—22no—
743C22×C31—22no—
744C22×C31—22no—
745C22×C31—22no—
746C22×C31—22no—
747C22×C31—22no—
748C22×C31—22no—
749C22×C31—22no—
750C22×C31—22no—
751C22×C31—22no—
752C22×C31—22no—
753C22×C31—22no—
754C22×C31—41no—
755C22×C31—41no—
756C22×C31—41no—
757C22×C31—41no—
758C22×C31—41no—
759C22×C31—41no—
760C22×C31—41no—
761C22×C31—41no—
762C22×C31—41no—
763C22×C31—41no—
764C22×C31—41no—
765C22×C31—41no—
766C22×C31—41no—
767C22×C31—41no—
768C22×C31—41no—
769C22×C31—41no—
770C22×C31—41no—
771C22×C31—41no—
772C22×C31—41no—
773C22×C31—41no—
774C22×C31—41no—
775C22×C31—41no—
776C22×C31—41no—
777C22×C31—41no—
778C22×C31—41no—
779C22×C31—41no—
780C22×C31—41no—
781C22×C31—41no—
782C22×C31—41no—
783C22×C31—88no—
784C22×C31—88no—
785C22×C31#53814yes—
786C22×C31C22×#4111yescharacteristic
787C22×C31C2×H(5,𝔽2)11yescharacteristic
788C22×C31C2×H(5,𝔽2)11yescharacteristic
789C22×C31C2×H(5,𝔽2)11yescharacteristic
790C22×C31#58511yescharacteristic
791C22×C31#58511yescharacteristic
792C22×C31#58511yescharacteristic
793C4×C31—22no—
794C4×C31—41no—
795C4×C31—41no—
796C4×C31—41no—
797C4×C31—41no—
798C4×C31—41no—
799C4×C31—41no—
800C4×C31—41no—
801C4×C31—41no—
802C4×C31—41no—
803C4×C31—41no—
804C4×C31—41no—
805C4×C31—41no—
806C4×C31—41no—
807C4×C31—41no—
808C4×C31—41no—
809C4×C31—41no—
810C4×C31—41no—
811C4×C31—41no—
812C4×C31—41no—
813C4×C31—41no—
814C4×C31—41no—
815C4×C31—41no—
816C4×C31—41no—
817C4×C31—41no—
818C23×D4C22×C3111yescharacteristic
819C2×#126C22×C3111yescharacteristic, complemented
820C2×#124C22×C3111yescharacteristic, complemented
821C2×#123C22×C3111yescharacteristic
822C2×#123C22×C3111yescharacteristic
823C2×#123C22×C3111yescharacteristic, complemented
824C2×C22⋊Q8C22×C3111yescharacteristic, complemented
825C2×C22⋊Q8C22×C3111yescharacteristic, complemented
826C2×#121C22×C3111yescharacteristic
827C2×#121C22×C3111yescharacteristic
828C2×#120C22×C3111yescharacteristic
829C2×#120C22×C3111yescharacteristic
830C2×C4×D4C22×C3111yescharacteristic, complemented
831C22×C4⋊C4C22×C3111yescharacteristic, complemented
832C22×C22⋊C4C22×C3111yescharacteristic
833C22×C22⋊C4C22×C3111yescharacteristic
834C22×C22⋊C4C22×C3111yescharacteristic
835C22×C22⋊C4C22×C3111yescharacteristic
836C22×C42C22×C3111yescharacteristic, complemented
837#401C22×C3111yescharacteristic, complemented
838#400C22×C3111yescharacteristic, complemented
839#400C22×C3111yescharacteristic, complemented
840#400C22×C3111yescharacteristic, complemented
841#400C22×C3111yescharacteristic, complemented
842#400C22×C3111yescharacteristic, complemented
843#400C22×C3111yescharacteristic, complemented
844#399C22×C3111yescharacteristic
845#399C22×C3111yescharacteristic, complemented
846#399C22×C3111yescharacteristic, complemented
847#398C22×C3111yescharacteristic, complemented
848#398C22×C3111yescharacteristic, complemented
849#398C22×C3111yescharacteristic, complemented
850#398C22×C3111yescharacteristic, complemented
851#398C22×C3111yescharacteristic, complemented
852#397C22×C3111yescharacteristic
853#397C22×C3111yescharacteristic
854#397C22×C3111yescharacteristic, complemented
855#397C22×C3111yescharacteristic, complemented
856#397C22×C3111yescharacteristic, complemented
857#397C22×C3111yescharacteristic, complemented
858#397C22×C3111yescharacteristic, complemented
859#397C22×C3111yescharacteristic, complemented
860#397C22×C3111yescharacteristic, complemented
861#397C22×C3111yescharacteristic, complemented
862#396C22×C3111yescharacteristic
863#396C22×C3111yescharacteristic
864#396C22×C3111yescharacteristic, complemented
865#396C22×C3111yescharacteristic, complemented
866#396C22×C3111yescharacteristic, complemented
867#396C22×C3111yescharacteristic, complemented
868#396C22×C3111yescharacteristic, complemented
869#394C22×C3111yescharacteristic
870#394C22×C3111yescharacteristic
871#394C22×C3111yescharacteristic
872#394C22×C3111yescharacteristic
873#394C22×C3111yescharacteristic
874#394C22×C3111yescharacteristic
875#394C22×C3111yescharacteristic
876#394C22×C3111yescharacteristic
877#394C22×C3111yescharacteristic, complemented
878#394C22×C3111yescharacteristic, complemented
879#394C22×C3111yescharacteristic, complemented
880#394C22×C3111yescharacteristic, complemented
881#393C22×C3111yescharacteristic
882#393C22×C3111yescharacteristic, complemented
883#392C22×C3111yescharacteristic
884#392C22×C3111yescharacteristic
885#391C22×C3111yescharacteristic, complemented
886#391C22×C3111yescharacteristic, complemented
887#390C22×C3111yescharacteristic
888#390C22×C3111yescharacteristic, complemented
889#390C22×C3111yescharacteristic, complemented
890#389C22×C3111yescharacteristic, complemented
891#388C22×C3111yescharacteristic
892#388C22×C3111yescharacteristic
893#388C22×C3111yescharacteristic
894#388C22×C3111yescharacteristic
895#388C22×C3111yescharacteristic
896#388C22×C3111yescharacteristic
897#388C22×C3111yescharacteristic, complemented
898#388C22×C3111yescharacteristic, complemented
899#388C22×C3111yescharacteristic, complemented
900#388C22×C3111yescharacteristic, complemented
901#388C22×C3111yescharacteristic, complemented
902#388C22×C3111yescharacteristic, complemented
903#388C22×C3111yescharacteristic, complemented
904#388C22×C3111yescharacteristic, complemented
905#388C22×C3111yescharacteristic, complemented
906#388C22×C3111yescharacteristic, complemented
907#388C22×C3111yescharacteristic, complemented
908#388C22×C3111yescharacteristic, complemented
909#388C22×C3111yescharacteristic, complemented
910#388C22×C3111yescharacteristic, complemented
911#388C22×C3111yescharacteristic, complemented
912#388C22×C3111yescharacteristic, complemented
913#388C22×C3111yescharacteristic, complemented
914#388C22×C3111yescharacteristic, complemented
915#388C22×C3111yescharacteristic, complemented
916#387C22×C3111yescharacteristic, complemented
917#387C22×C3111yescharacteristic, complemented
918#387C22×C3111yescharacteristic, complemented
919#387C22×C3111yescharacteristic, complemented
920#387C22×C3111yescharacteristic, complemented
921#386C22×C3111yescharacteristic
922#386C22×C3111yescharacteristic
923#386C22×C3111yescharacteristic
924#386C22×C3111yescharacteristic
925#386C22×C3111yescharacteristic
926#386C22×C3111yescharacteristic
927#386C22×C3111yescharacteristic
928#386C22×C3111yescharacteristic
929#386C22×C3111yescharacteristic
930#386C22×C3111yescharacteristic
931#386C22×C3111yescharacteristic
932#386C22×C3111yescharacteristic
933#386C22×C3111yescharacteristic
934#386C22×C3111yescharacteristic
935#386C22×C3111yescharacteristic, complemented
936#386C22×C3111yescharacteristic, complemented
937#386C22×C3111yescharacteristic, complemented
938#386C22×C3111yescharacteristic, complemented
939#386C22×C3111yescharacteristic, complemented
940#386C22×C3111yescharacteristic, complemented
941#386C22×C3111yescharacteristic, complemented
942#385C22×C3111yescharacteristic
943#385C22×C3111yescharacteristic
944#385C22×C3111yescharacteristic
945#385C22×C3111yescharacteristic, complemented
946#385C22×C3111yescharacteristic, complemented
947#385C22×C3111yescharacteristic, complemented
948#385C22×C3111yescharacteristic, complemented
949#385C22×C3111yescharacteristic, complemented
950#385C22×C3111yescharacteristic, complemented
951#383C22×C3111yescharacteristic, complemented
952#383C22×C3111yescharacteristic, complemented
953#382C22×C3111yescharacteristic, complemented
954#382C22×C3111yescharacteristic, complemented
955#381C22×C3111yescharacteristic
956#381C22×C3111yescharacteristic
957#381C22×C3111yescharacteristic, complemented
958#381C22×C3111yescharacteristic, complemented
959#380C22×C3111yescharacteristic, complemented
960#380C22×C3111yescharacteristic, complemented
961#380C22×C3111yescharacteristic, complemented
962#380C22×C3111yescharacteristic, complemented
963#380C22×C3111yescharacteristic, complemented
964#379C22×C3111yescharacteristic
965#379C22×C3111yescharacteristic
966#379C22×C3111yescharacteristic
967#379C22×C3111yescharacteristic
968#379C22×C3111yescharacteristic
969#379C22×C3111yescharacteristic
970C4×C22⋊C4C22×C3111yescharacteristic, complemented
971C2×#95C22×C3111yescharacteristic, complemented
972C2×#95C22×C3111yescharacteristic, complemented
973C2×C31—24no—
974C2×C31—42no—
975C2×C31—42no—
976C2×C31—81no—
977C2×C31—81no—
978C2×C31—81no—
979C2×C31C2×#53811yescharacteristic
980C2×C31#349111yescharacteristic
981C2×C31#350511yescharacteristic
982C2×C31#353411yescharacteristic
983C2×C31#354211yescharacteristic
984C2×C31#354511yescharacteristic
985C2×C31#356011yescharacteristic
986C25C23×C3111yescharacteristic
987C25C23×C3111yescharacteristic
988C22×Q8C23×C3111yescharacteristic
989C22×D4—24no—
990C22×D4—42no—
991C22×D4—42no—
992C22×D4C23×C3111yescharacteristic
993C22×D4C23×C3111yescharacteristic
994C22×D4C23×C3111yescharacteristic
995C22×D4C23×C3111yescharacteristic
996C22×D4C23×C3111yescharacteristic
997C22×D4C23×C3111yescharacteristic
998C22×D4C23×C3111yescharacteristic
999C22×D4C23×C3111yescharacteristic
1000C22×D4C23×C3111yescharacteristic
1001C23×C4C23×C3111yescharacteristic
1002C23×C4C23×C3111yescharacteristic
1003C23×C4C23×C3111yescharacteristic
1004C23×C4C23×C3111yescharacteristic
1005C23×C4C23×C3111yescharacteristic
1006C23×C4C23×C3111yescharacteristic
1007C23×C4C23×C3111yescharacteristic
1008C23×C4C23×C3111yescharacteristic
1009C23×C4C23×C3111yescharacteristic
1010C23×C4C23×C3111yescharacteristic
1011#126—42no—
1012#124—42no—
1013#123—42no—
1014#123—42no—
1015#123—42no—
1016C22⋊Q8—42no—
1017C22⋊Q8—42no—
1018#121—42no—
1019#121—42no—
1020#120—24no—
1021#120—42no—
1022C4×D4—42no—
1023C2×C4⋊C4—42no—
1024C2×C4⋊C4C23×C3111yescharacteristic
1025C2×C4⋊C4C23×C3111yescharacteristic
1026C2×C4⋊C4C23×C3111yescharacteristic
1027C2×C4⋊C4C23×C3111yescharacteristic
1028C2×C4⋊C4C23×C3111yescharacteristic
1029C2×C4⋊C4C23×C3111yescharacteristic
1030C2×C4⋊C4C23×C3111yescharacteristic
1031C2×C4⋊C4C23×C3111yescharacteristic
1032C2×C4⋊C4C23×C3111yescharacteristic
1033C2×C4⋊C4C23×C3111yescharacteristic
1034C2×C4⋊C4C23×C3111yescharacteristic
1035C2×C4⋊C4C23×C3111yescharacteristic
1036C2×C4⋊C4C23×C3111yescharacteristic
1037C2×C4⋊C4C23×C3111yescharacteristic
1038C2×C4⋊C4C23×C3111yescharacteristic
1039C2×C4⋊C4C23×C3111yescharacteristic
1040C2×C4⋊C4C23×C3111yescharacteristic
1041C2×C4⋊C4C23×C3111yescharacteristic
1042C2×C4⋊C4C23×C3111yescharacteristic
1043C2×C4⋊C4C23×C3111yescharacteristic
1044C2×C4⋊C4C23×C3111yescharacteristic
1045C2×C4⋊C4C23×C3111yescharacteristic
1046C2×C4⋊C4C23×C3111yescharacteristic
1047C2×C4⋊C4C23×C3111yescharacteristic
1048C2×C4⋊C4C23×C3111yescharacteristic
1049C2×C4⋊C4C23×C3111yescharacteristic
1050C2×C22⋊C4—24no—
1051C2×C22⋊C4—42no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—42no—
1054C2×C22⋊C4C23×C3111yescharacteristic
1055C2×C22⋊C4C23×C3111yescharacteristic
1056C2×C22⋊C4C23×C3111yescharacteristic
1057C2×C22⋊C4C23×C3111yescharacteristic
1058C2×C22⋊C4C23×C3111yescharacteristic
1059C2×C22⋊C4C23×C3111yescharacteristic
1060C2×C22⋊C4C23×C3111yescharacteristic
1061C2×C22⋊C4C23×C3111yescharacteristic
1062C2×C22⋊C4C23×C3111yescharacteristic
1063C2×C22⋊C4C23×C3111yescharacteristic
1064C2×C22⋊C4C23×C3111yescharacteristic
1065C2×C22⋊C4C23×C3111yescharacteristic
1066C2×C22⋊C4C23×C3111yescharacteristic
1067C2×C22⋊C4C23×C3111yescharacteristic
1068C2×C22⋊C4C23×C3111yescharacteristic
1069C2×C22⋊C4C23×C3111yescharacteristic
1070C2×C22⋊C4C23×C3111yescharacteristic
1071C2×C22⋊C4C23×C3111yescharacteristic
1072C2×C22⋊C4C23×C3111yescharacteristic
1073C2×C22⋊C4C23×C3111yescharacteristic
1074C2×C22⋊C4C23×C3111yescharacteristic
1075C2×C22⋊C4C23×C3111yescharacteristic
1076C2×C22⋊C4C23×C3111yescharacteristic
1077C2×C22⋊C4C23×C3111yescharacteristic
1078C2×C22⋊C4C23×C3111yescharacteristic
1079C2×C22⋊C4C23×C3111yescharacteristic
1080C2×C22⋊C4C23×C3111yescharacteristic
1081C2×C22⋊C4C23×C3111yescharacteristic
1082C2×C22⋊C4C23×C3111yescharacteristic
1083C2×C22⋊C4C23×C3111yescharacteristic
1084C2×C22⋊C4C23×C3111yescharacteristic
1085C2×C22⋊C4C23×C3111yescharacteristic
1086C2×C22⋊C4C23×C3111yescharacteristic
1087C2×C22⋊C4C23×C3111yescharacteristic
1088C2×C22⋊C4C23×C3111yescharacteristic
1089C2×C22⋊C4C23×C3111yescharacteristic
1090C2×C22⋊C4C23×C3111yescharacteristic
1091C2×C22⋊C4C23×C3111yescharacteristic
1092C2×C22⋊C4C23×C3111yescharacteristic
1093C2×C22⋊C4C23×C3111yescharacteristic
1094C2×C22⋊C4C23×C3111yescharacteristic
1095C2×C22⋊C4C23×C3111yescharacteristic
1096C2×C22⋊C4C23×C3111yescharacteristic
1097C2×C22⋊C4C23×C3111yescharacteristic
1098C2×C22⋊C4C23×C3111yescharacteristic
1099C2×C22⋊C4C23×C3111yescharacteristic
1100C2×C22⋊C4C23×C3111yescharacteristic
1101C2×C22⋊C4C23×C3111yescharacteristic
1102C2×C22⋊C4C23×C3111yescharacteristic
1103C2×C22⋊C4C23×C3111yescharacteristic
1104C2×C22⋊C4C23×C3111yescharacteristic
1105C2×C22⋊C4C23×C3111yescharacteristic
1106C2×C22⋊C4C23×C3111yescharacteristic
1107C2×C22⋊C4C23×C3111yescharacteristic
1108C2×C22⋊C4C23×C3111yescharacteristic
1109C2×C22⋊C4C23×C3111yescharacteristic
1110C2×C42—42no—
1111C2×C42C23×C3111yescharacteristic
1112C2×C42C23×C3111yescharacteristic
1113C2×C42C23×C3111yescharacteristic
1114C2×C42C23×C3111yescharacteristic
1115C2×C42C23×C3111yescharacteristic
1116C2×C42C23×C3111yescharacteristic
1117C2×C42C23×C3111yescharacteristic
1118#95C23×C3111yescharacteristic
1119#95C23×C3111yescharacteristic
1120#95C23×C3111yescharacteristic
1121#95C23×C3111yescharacteristic
1122#95C23×C3111yescharacteristic
1123#95C23×C3111yescharacteristic
1124#95C23×C3111yescharacteristic
1125#95C23×C3111yescharacteristic
1126#95C23×C3111yescharacteristic
1127#95C23×C3111yescharacteristic
1128#95C23×C3111yescharacteristic
1129#95C23×C3111yescharacteristic
1130#95C23×C3111yescharacteristic
1131#95C23×C3111yescharacteristic
1132#95C23×C3111yescharacteristic
1133#95C23×C3111yescharacteristic
1134#95C23×C3111yescharacteristic
1135#95C23×C3111yescharacteristic
1136#95C23×C3111yescharacteristic
1137#95C23×C3111yescharacteristic
1138#95C23×C3111yescharacteristic
1139#95C23×C3111yescharacteristic
1140#95C23×C3111yescharacteristic
1141#95C23×C3111yescharacteristic
1142#95C23×C3111yescharacteristic
1143#95C23×C3111yescharacteristic
1144#95C23×C3111yescharacteristic
1145#95C23×C3111yescharacteristic
1146#95C23×C3111yescharacteristic
1147#95C23×C3111yescharacteristic
1148#95C23×C3111yescharacteristic
1149#95C23×C3111yescharacteristic
1150#95C23×C3111yescharacteristic
1151#95C23×C3111yescharacteristic
1152#95C23×C3111yescharacteristic
1153#95C23×C3111yescharacteristic
1154#95C23×C3111yescharacteristic
1155#95C23×C3111yescharacteristic
1156#95C23×C3111yescharacteristic
1157#95C23×C3111yescharacteristic
1158#95C23×C3111yescharacteristic
1159#95C23×C3111yescharacteristic
1160#95C23×C3111yescharacteristic
1161#95C23×C3111yescharacteristic
1162C31#3677911yescharacteristic, direct product factor, Sylow
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24#41×C3114yes—
1177C24C24×C3111yescharacteristic
1178C24C24×C3111yescharacteristic
1179C24C24×C3111yescharacteristic
1180C24C24×C3111yescharacteristic
1181C24C24×C3111yescharacteristic
1182C24C24×C3111yescharacteristic
1183C2×Q8—22no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—416no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4C24×C3111yescharacteristic
1245C22×C4C24×C3111yescharacteristic
1246C22×C4C24×C3111yescharacteristic
1247C22×C4C24×C3111yescharacteristic
1248C22×C4C24×C3111yescharacteristic
1249C22×C4C24×C3111yescharacteristic
1250C22×C4C24×C3111yescharacteristic
1251C22×C4C24×C3111yescharacteristic
1252C22×C4C24×C3111yescharacteristic
1253C22×C4C24×C3111yescharacteristic
1254C22×C4C24×C3111yescharacteristic
1255C22×C4C24×C3111yescharacteristic
1256C22×C4C24×C3111yescharacteristic
1257C22×C4C24×C3111yescharacteristic
1258C22×C4C24×C3111yescharacteristic
1259C22×C4C24×C3111yescharacteristic
1260C22×C4C24×C3111yescharacteristic
1261C22×C4C24×C3111yescharacteristic
1262C22×C4C24×C3111yescharacteristic
1263C22×C4C24×C3111yescharacteristic
1264C22×C4C24×C3111yescharacteristic
1265C22×C4C24×C3111yescharacteristic
1266C22×C4C24×C3111yescharacteristic
1267C22×C4C24×C3111yescharacteristic
1268C22×C4C24×C3111yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
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—
1351C42—22no—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—28no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—82no—
1400C23—82no—
1401C23—82no—
1402C23—82no—
1403C23—82no—
1404C23—82no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23C2×#41×C3112yes—
1410C23C2×#41×C3112yes—
1411C23C2×#41×C3112yes—
1412C23C31×H(5,𝔽2)12yes—
1413C23C31×H(5,𝔽2)12yes—
1414C23C25×C3111yescharacteristic
1415Q8—82no—
1416D4—44no—
1417D4—44no—
1418D4—44no—
1419D4—44no—
1420D4—44no—
1421D4—82no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
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—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4C31×H(5,𝔽2)12yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—88no—
1552C22—88no—
1553C22C31×#53814yes—
1554C22C22×#41×C3111yescharacteristic
1555C22C2×C31×H(5,𝔽2)11yescharacteristic
1556C22C2×C31×H(5,𝔽2)11yescharacteristic
1557C22C2×C31×H(5,𝔽2)11yescharacteristic
1558C22C31×#58511yescharacteristic
1559C22C31×#58511yescharacteristic
1560C22C31×#58511yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C2—24no—
1587C2—42no—
1588C2—42no—
1589C2—81no—
1590C2—81no—
1591C2—81no—
1592C2C2×C31×#53811yescharacteristic
1593C2C31×#349111yescharacteristic
1594C2C31×#350511yescharacteristic
1595C2C31×#353411yescharacteristic
1596C2C31×#354211yescharacteristic
1597C2C31×#354511yescharacteristic
1598C2C31×#356011yescharacteristic
subgroupG/H
center, socleC23×C31C25
commutator, Frattini, cosocleC23C25×C31
prime radicalC31×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C31 ◁ G

Complements

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

NH ≅ G/Ntype
1. C31×#2852C2semidirect
2. C31×#2850C2semidirect
3. C31×#2781C2semidirect
4. C31×#2781C2semidirect
5. C31×#2778C2semidirect
6. C31×#2765C2semidirect
7. C31×#2764C2semidirect
8. C31×#2761C2semidirect
9. C31×#2756C2semidirect
10. C31×#2749C2semidirect
11. C31×#2743C2semidirect
12. C31×#2741C2semidirect
13. C31×#2735C2semidirect
14. C31×#2735C2semidirect
15. C31×#2730C2semidirect
16. C31×#2702C2semidirect
17. C31×#2685C2semidirect
18. C31×#2684C2semidirect
19. C31×#2623C2semidirect
20. C31×#2618C2semidirect
21. C31×#2510C2semidirect
22. C31×#2488C2semidirect
23. C31×#2444C2semidirect
24. C31×#2437C2semidirect
25. C31×#2425C2semidirect
26. C31×#2412C2semidirect
28. C31×#2405C2semidirect
29. C31×#2321C2semidirect
30. C31×#2308C2semidirect
31. C2×C31×#388C2semidirect
33. C2×C31×#126C22semidirect
34. C2×C31×#124C22semidirect
37. C2×C31×#123C22semidirect
38. C2×C31×C22⋊Q8C22semidirect
39. C2×C31×C22⋊Q8C22semidirect
44. C2×C4×D4×C31C22semidirect
45. C22×C4⋊C4×C31C22semidirect
50. C22×C42×C31C22semidirect
51. C31×#401C22semidirect
52. C31×#400C22semidirect
53. C31×#400C22semidirect
54. C31×#400C22semidirect
55. C31×#400C22semidirect
56. C31×#400C22semidirect
57. C31×#400C22semidirect
59. C31×#399C22semidirect
60. C31×#399C22semidirect
61. C31×#398C22semidirect
62. C31×#398C22semidirect
63. C31×#398C22semidirect
64. C31×#398C22semidirect
65. C31×#398C22semidirect
68. C31×#397C22semidirect
69. C31×#397C22semidirect
70. C31×#397C22semidirect
71. C31×#397C22semidirect
72. C31×#397C22semidirect
73. C31×#397C22semidirect
74. C31×#397C22semidirect
75. C31×#397C22semidirect
78. C31×#396C22semidirect
79. C31×#396C22semidirect
80. C31×#396C22semidirect
81. C31×#396C22semidirect
82. C31×#396C22semidirect
91. C31×#394C22semidirect
92. C31×#394C22semidirect
93. C31×#394C22semidirect
94. C31×#394C22semidirect
96. C31×#393C22semidirect
99. C31×#391C22semidirect
100. C31×#391C22semidirect
102. C31×#390C22semidirect
103. C31×#390C22semidirect
104. C31×#389C22semidirect
111. C31×#388C22semidirect
112. C31×#388C22semidirect
113. C31×#388C22semidirect
114. C31×#388C22semidirect
115. C31×#388C22semidirect
116. C31×#388C22semidirect
117. C31×#388C22semidirect
118. C31×#388C22semidirect
119. C31×#388C22semidirect
120. C31×#388C22semidirect
121. C31×#388C22semidirect
122. C31×#388C22semidirect
123. C31×#388C22semidirect
124. C31×#388C22semidirect
125. C31×#388C22semidirect
126. C31×#388C22semidirect
127. C31×#388C22semidirect
128. C31×#388C22semidirect
129. C31×#388C22semidirect
130. C31×#387C22semidirect
131. C31×#387C22semidirect
132. C31×#387C22semidirect
133. C31×#387C22semidirect
134. C31×#387C22semidirect
149. C31×#386C22semidirect
150. C31×#386C22semidirect
151. C31×#386C22semidirect
152. C31×#386C22semidirect
153. C31×#386C22semidirect
154. C31×#386C22semidirect
155. C31×#386C22semidirect
159. C31×#385C22semidirect
160. C31×#385C22semidirect
161. C31×#385C22semidirect
162. C31×#385C22semidirect
163. C31×#385C22semidirect
164. C31×#385C22semidirect
165. C31×#383C22semidirect
166. C31×#383C22semidirect
167. C31×#382C22semidirect
168. C31×#382C22semidirect
171. C31×#381C22semidirect
172. C31×#381C22semidirect
173. C31×#380C22semidirect
174. C31×#380C22semidirect
175. C31×#380C22semidirect
176. C31×#380C22semidirect
177. C31×#380C22semidirect
184. C4×C22⋊C4×C31C22semidirect
185. C2×C31×#95C22semidirect
186. C2×C31×#95C22semidirect
558. #36779C31direct (N × H)
711. #2852C2×C31semidirect
712. #2850C2×C31semidirect
713. #2781C2×C31semidirect
714. #2781C2×C31semidirect
715. #2778C2×C31semidirect
716. #2765C2×C31semidirect
717. #2764C2×C31semidirect
718. #2761C2×C31semidirect
719. #2756C2×C31semidirect
720. #2749C2×C31semidirect
721. #2743C2×C31semidirect
722. #2741C2×C31semidirect
723. #2735C2×C31semidirect
724. #2735C2×C31semidirect
725. #2730C2×C31semidirect
726. #2702C2×C31semidirect
727. #2685C2×C31semidirect
728. #2684C2×C31semidirect
729. #2623C2×C31semidirect
730. #2618C2×C31semidirect
731. #2510C2×C31semidirect
732. #2488C2×C31semidirect
733. #2444C2×C31semidirect
734. #2437C2×C31semidirect
735. #2425C2×C31semidirect
736. #2412C2×C31semidirect
738. #2405C2×C31semidirect
739. #2321C2×C31semidirect
740. #2308C2×C31semidirect
741. C2×#388C2×C31semidirect
819. C2×#126C22×C31semidirect
820. C2×#124C22×C31semidirect
823. C2×#123C22×C31semidirect
824. C2×C22⋊Q8C22×C31semidirect
825. C2×C22⋊Q8C22×C31semidirect
830. C2×C4×D4C22×C31semidirect
831. C22×C4⋊C4C22×C31semidirect
836. C22×C42C22×C31semidirect
837. #401C22×C31semidirect
838. #400C22×C31semidirect
839. #400C22×C31semidirect
840. #400C22×C31semidirect
841. #400C22×C31semidirect
842. #400C22×C31semidirect
843. #400C22×C31semidirect
845. #399C22×C31semidirect
846. #399C22×C31semidirect
847. #398C22×C31semidirect
848. #398C22×C31semidirect
849. #398C22×C31semidirect
850. #398C22×C31semidirect
851. #398C22×C31semidirect
854. #397C22×C31semidirect
855. #397C22×C31semidirect
856. #397C22×C31semidirect
857. #397C22×C31semidirect
858. #397C22×C31semidirect
859. #397C22×C31semidirect
860. #397C22×C31semidirect
861. #397C22×C31semidirect
864. #396C22×C31semidirect
865. #396C22×C31semidirect
866. #396C22×C31semidirect
867. #396C22×C31semidirect
868. #396C22×C31semidirect
877. #394C22×C31semidirect
878. #394C22×C31semidirect
879. #394C22×C31semidirect
880. #394C22×C31semidirect
882. #393C22×C31semidirect
885. #391C22×C31semidirect
886. #391C22×C31semidirect
888. #390C22×C31semidirect
889. #390C22×C31semidirect
890. #389C22×C31semidirect
897. #388C22×C31semidirect
898. #388C22×C31semidirect
899. #388C22×C31semidirect
900. #388C22×C31semidirect
901. #388C22×C31semidirect
902. #388C22×C31semidirect
903. #388C22×C31semidirect
904. #388C22×C31semidirect
905. #388C22×C31semidirect
906. #388C22×C31semidirect
907. #388C22×C31semidirect
908. #388C22×C31semidirect
909. #388C22×C31semidirect
910. #388C22×C31semidirect
911. #388C22×C31semidirect
912. #388C22×C31semidirect
913. #388C22×C31semidirect
914. #388C22×C31semidirect
915. #388C22×C31semidirect
916. #387C22×C31semidirect
917. #387C22×C31semidirect
918. #387C22×C31semidirect
919. #387C22×C31semidirect
920. #387C22×C31semidirect
935. #386C22×C31semidirect
936. #386C22×C31semidirect
937. #386C22×C31semidirect
938. #386C22×C31semidirect
939. #386C22×C31semidirect
940. #386C22×C31semidirect
941. #386C22×C31semidirect
945. #385C22×C31semidirect
946. #385C22×C31semidirect
947. #385C22×C31semidirect
948. #385C22×C31semidirect
949. #385C22×C31semidirect
950. #385C22×C31semidirect
951. #383C22×C31semidirect
952. #383C22×C31semidirect
953. #382C22×C31semidirect
954. #382C22×C31semidirect
957. #381C22×C31semidirect
958. #381C22×C31semidirect
959. #380C22×C31semidirect
960. #380C22×C31semidirect
961. #380C22×C31semidirect
962. #380C22×C31semidirect
963. #380C22×C31semidirect
970. C4×C22⋊C4C22×C31semidirect
971. C2×#95C22×C31semidirect
972. C2×#95C22×C31semidirect
1162. C31#36779direct (N × H)

Maximal subgroups

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

subgroupindex
C31×#28522
C31×#28502
C31×#27812
C31×#27782
C31×#27652
C31×#27642
C31×#27612
C31×#27562
C31×#27492
C31×#27432
C31×#27412
C31×#27352
C31×#27302
C31×#27022
C31×#26852
C31×#26842
C31×#26232
C31×#26182
C31×#25102
C31×#24882
C31×#24442
C31×#24372
C31×#24252
C31×#24122
C31×#24102
C31×#24052
C31×#23212
C31×#23082
C2×C31×#3882
#3677931