Finite Group Databasebeta

← C37×#36779 #22658032

Subgroups — C37×#36779 #22658032

Order 9472.

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
1C37×#2852C211yesmaximal, characteristic, complemented
2C37×#2850C211yesmaximal, characteristic, complemented
3C37×#2781C211yesmaximal, characteristic, complemented
4C37×#2781C211yesmaximal, characteristic, complemented
5C37×#2778C211yesmaximal, characteristic, complemented
6C37×#2765C211yesmaximal, characteristic, complemented
7C37×#2764C211yesmaximal, characteristic, complemented
8C37×#2761C211yesmaximal, characteristic, complemented
9C37×#2756C211yesmaximal, characteristic, complemented
10C37×#2749C211yesmaximal, characteristic, complemented
11C37×#2743C211yesmaximal, characteristic, complemented
12C37×#2741C211yesmaximal, characteristic, complemented
13C37×#2735C211yesmaximal, characteristic, complemented
14C37×#2735C211yesmaximal, characteristic, complemented
15C37×#2730C211yesmaximal, characteristic, complemented
16C37×#2702C211yesmaximal, characteristic, complemented
17C37×#2685C211yesmaximal, characteristic, complemented
18C37×#2684C211yesmaximal, characteristic, complemented
19C37×#2623C211yesmaximal, characteristic, complemented
20C37×#2618C211yesmaximal, characteristic, complemented
21C37×#2510C211yesmaximal, characteristic, complemented
22C37×#2488C211yesmaximal, characteristic, complemented
23C37×#2444C211yesmaximal, characteristic, complemented
24C37×#2437C211yesmaximal, characteristic, complemented
25C37×#2425C211yesmaximal, characteristic, complemented
26C37×#2412C211yesmaximal, characteristic, complemented
27C37×#2410C211yesmaximal, characteristic
28C37×#2405C211yesmaximal, characteristic, complemented
29C37×#2321C211yesmaximal, characteristic, complemented
30C37×#2308C211yesmaximal, characteristic, complemented
31C2×C37×#388C211yesmaximal, characteristic, complemented
32C23×D4×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic, complemented
34C2×#124×C37C2211yescharacteristic, complemented
35C2×#123×C37C2211yescharacteristic
36C2×#123×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic, complemented
38C2×C22⋊Q8×C37C2211yescharacteristic, complemented
39C2×C22⋊Q8×C37C2211yescharacteristic, complemented
40C2×#121×C37C2211yescharacteristic
41C2×#121×C37C2211yescharacteristic
42C2×#120×C37C2211yescharacteristic
43C2×#120×C37C2211yescharacteristic
44C2×C4×D4×C37C2211yescharacteristic, complemented
45C22×C4⋊C4×C37C2211yescharacteristic, complemented
46C22×C22⋊C4×C37C2211yescharacteristic
47C22×C22⋊C4×C37C2211yescharacteristic
48C22×C22⋊C4×C37C2211yescharacteristic
49C22×C22⋊C4×C37C2211yescharacteristic
50C22×C42×C37C2211yescharacteristic, complemented
51C37×#401C2211yescharacteristic, complemented
52C37×#400C2211yescharacteristic, complemented
53C37×#400C2211yescharacteristic, complemented
54C37×#400C2211yescharacteristic, complemented
55C37×#400C2211yescharacteristic, complemented
56C37×#400C2211yescharacteristic, complemented
57C37×#400C2211yescharacteristic, complemented
58C37×#399C2211yescharacteristic
59C37×#399C2211yescharacteristic, complemented
60C37×#399C2211yescharacteristic, complemented
61C37×#398C2211yescharacteristic, complemented
62C37×#398C2211yescharacteristic, complemented
63C37×#398C2211yescharacteristic, complemented
64C37×#398C2211yescharacteristic, complemented
65C37×#398C2211yescharacteristic, complemented
66C37×#397C2211yescharacteristic
67C37×#397C2211yescharacteristic
68C37×#397C2211yescharacteristic, complemented
69C37×#397C2211yescharacteristic, complemented
70C37×#397C2211yescharacteristic, complemented
71C37×#397C2211yescharacteristic, complemented
72C37×#397C2211yescharacteristic, complemented
73C37×#397C2211yescharacteristic, complemented
74C37×#397C2211yescharacteristic, complemented
75C37×#397C2211yescharacteristic, complemented
76C37×#396C2211yescharacteristic
77C37×#396C2211yescharacteristic
78C37×#396C2211yescharacteristic, complemented
79C37×#396C2211yescharacteristic, complemented
80C37×#396C2211yescharacteristic, complemented
81C37×#396C2211yescharacteristic, complemented
82C37×#396C2211yescharacteristic, complemented
83C37×#394C2211yescharacteristic
84C37×#394C2211yescharacteristic
85C37×#394C2211yescharacteristic
86C37×#394C2211yescharacteristic
87C37×#394C2211yescharacteristic
88C37×#394C2211yescharacteristic
89C37×#394C2211yescharacteristic
90C37×#394C2211yescharacteristic
91C37×#394C2211yescharacteristic, complemented
92C37×#394C2211yescharacteristic, complemented
93C37×#394C2211yescharacteristic, complemented
94C37×#394C2211yescharacteristic, complemented
95C37×#393C2211yescharacteristic
96C37×#393C2211yescharacteristic, complemented
97C37×#392C2211yescharacteristic
98C37×#392C2211yescharacteristic
99C37×#391C2211yescharacteristic, complemented
100C37×#391C2211yescharacteristic, complemented
101C37×#390C2211yescharacteristic
102C37×#390C2211yescharacteristic, complemented
103C37×#390C2211yescharacteristic, complemented
104C37×#389C2211yescharacteristic, complemented
105C37×#388C2211yescharacteristic
106C37×#388C2211yescharacteristic
107C37×#388C2211yescharacteristic
108C37×#388C2211yescharacteristic
109C37×#388C2211yescharacteristic
110C37×#388C2211yescharacteristic
111C37×#388C2211yescharacteristic, complemented
112C37×#388C2211yescharacteristic, complemented
113C37×#388C2211yescharacteristic, complemented
114C37×#388C2211yescharacteristic, complemented
115C37×#388C2211yescharacteristic, complemented
116C37×#388C2211yescharacteristic, complemented
117C37×#388C2211yescharacteristic, complemented
118C37×#388C2211yescharacteristic, complemented
119C37×#388C2211yescharacteristic, complemented
120C37×#388C2211yescharacteristic, complemented
121C37×#388C2211yescharacteristic, complemented
122C37×#388C2211yescharacteristic, complemented
123C37×#388C2211yescharacteristic, complemented
124C37×#388C2211yescharacteristic, complemented
125C37×#388C2211yescharacteristic, complemented
126C37×#388C2211yescharacteristic, complemented
127C37×#388C2211yescharacteristic, complemented
128C37×#388C2211yescharacteristic, complemented
129C37×#388C2211yescharacteristic, complemented
130C37×#387C2211yescharacteristic, complemented
131C37×#387C2211yescharacteristic, complemented
132C37×#387C2211yescharacteristic, complemented
133C37×#387C2211yescharacteristic, complemented
134C37×#387C2211yescharacteristic, complemented
135C37×#386C2211yescharacteristic
136C37×#386C2211yescharacteristic
137C37×#386C2211yescharacteristic
138C37×#386C2211yescharacteristic
139C37×#386C2211yescharacteristic
140C37×#386C2211yescharacteristic
141C37×#386C2211yescharacteristic
142C37×#386C2211yescharacteristic
143C37×#386C2211yescharacteristic
144C37×#386C2211yescharacteristic
145C37×#386C2211yescharacteristic
146C37×#386C2211yescharacteristic
147C37×#386C2211yescharacteristic
148C37×#386C2211yescharacteristic
149C37×#386C2211yescharacteristic, complemented
150C37×#386C2211yescharacteristic, complemented
151C37×#386C2211yescharacteristic, complemented
152C37×#386C2211yescharacteristic, complemented
153C37×#386C2211yescharacteristic, complemented
154C37×#386C2211yescharacteristic, complemented
155C37×#386C2211yescharacteristic, complemented
156C37×#385C2211yescharacteristic
157C37×#385C2211yescharacteristic
158C37×#385C2211yescharacteristic
159C37×#385C2211yescharacteristic, complemented
160C37×#385C2211yescharacteristic, complemented
161C37×#385C2211yescharacteristic, complemented
162C37×#385C2211yescharacteristic, complemented
163C37×#385C2211yescharacteristic, complemented
164C37×#385C2211yescharacteristic, complemented
165C37×#383C2211yescharacteristic, complemented
166C37×#383C2211yescharacteristic, complemented
167C37×#382C2211yescharacteristic, complemented
168C37×#382C2211yescharacteristic, complemented
169C37×#381C2211yescharacteristic
170C37×#381C2211yescharacteristic
171C37×#381C2211yescharacteristic, complemented
172C37×#381C2211yescharacteristic, complemented
173C37×#380C2211yescharacteristic, complemented
174C37×#380C2211yescharacteristic, complemented
175C37×#380C2211yescharacteristic, complemented
176C37×#380C2211yescharacteristic, complemented
177C37×#380C2211yescharacteristic, complemented
178C37×#379C2211yescharacteristic
179C37×#379C2211yescharacteristic
180C37×#379C2211yescharacteristic
181C37×#379C2211yescharacteristic
182C37×#379C2211yescharacteristic
183C37×#379C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic, complemented
185C2×#95×C37C2211yescharacteristic, complemented
186C2×#95×C37C2211yescharacteristic, complemented
187C25×C37C2311yescharacteristic
188C25×C37C2311yescharacteristic
189C22×Q8×C37C2311yescharacteristic
190C22×D4×C37—24no—
191C22×D4×C37—42no—
192C22×D4×C37—42no—
193C22×D4×C37C2311yescharacteristic
194C22×D4×C37C2311yescharacteristic
195C22×D4×C37C2311yescharacteristic
196C22×D4×C37C2311yescharacteristic
197C22×D4×C37C2311yescharacteristic
198C22×D4×C37C2311yescharacteristic
199C22×D4×C37C2311yescharacteristic
200C22×D4×C37C2311yescharacteristic
201C22×D4×C37C2311yescharacteristic
202C23×C4×C37C2311yescharacteristic
203C23×C4×C37C2311yescharacteristic
204C23×C4×C37C2311yescharacteristic
205C23×C4×C37C2311yescharacteristic
206C23×C4×C37C2311yescharacteristic
207C23×C4×C37C2311yescharacteristic
208C23×C4×C37C2311yescharacteristic
209C23×C4×C37C2311yescharacteristic
210C23×C4×C37C2311yescharacteristic
211C23×C4×C37C2311yescharacteristic
212#126×C37—42no—
213#124×C37—42no—
214#123×C37—42no—
215#123×C37—42no—
216#123×C37—42no—
217C22⋊Q8×C37—42no—
218C22⋊Q8×C37—42no—
219#121×C37—42no—
220#121×C37—42no—
221#120×C37—24no—
222#120×C37—42no—
223C4×D4×C37—42no—
224C2×C4⋊C4×C37—42no—
225C2×C4⋊C4×C37C2311yescharacteristic
226C2×C4⋊C4×C37C2311yescharacteristic
227C2×C4⋊C4×C37C2311yescharacteristic
228C2×C4⋊C4×C37C2311yescharacteristic
229C2×C4⋊C4×C37C2311yescharacteristic
230C2×C4⋊C4×C37C2311yescharacteristic
231C2×C4⋊C4×C37C2311yescharacteristic
232C2×C4⋊C4×C37C2311yescharacteristic
233C2×C4⋊C4×C37C2311yescharacteristic
234C2×C4⋊C4×C37C2311yescharacteristic
235C2×C4⋊C4×C37C2311yescharacteristic
236C2×C4⋊C4×C37C2311yescharacteristic
237C2×C4⋊C4×C37C2311yescharacteristic
238C2×C4⋊C4×C37C2311yescharacteristic
239C2×C4⋊C4×C37C2311yescharacteristic
240C2×C4⋊C4×C37C2311yescharacteristic
241C2×C4⋊C4×C37C2311yescharacteristic
242C2×C4⋊C4×C37C2311yescharacteristic
243C2×C4⋊C4×C37C2311yescharacteristic
244C2×C4⋊C4×C37C2311yescharacteristic
245C2×C4⋊C4×C37C2311yescharacteristic
246C2×C4⋊C4×C37C2311yescharacteristic
247C2×C4⋊C4×C37C2311yescharacteristic
248C2×C4⋊C4×C37C2311yescharacteristic
249C2×C4⋊C4×C37C2311yescharacteristic
250C2×C4⋊C4×C37C2311yescharacteristic
251C2×C22⋊C4×C37—24no—
252C2×C22⋊C4×C37—42no—
253C2×C22⋊C4×C37—42no—
254C2×C22⋊C4×C37—42no—
255C2×C22⋊C4×C37C2311yescharacteristic
256C2×C22⋊C4×C37C2311yescharacteristic
257C2×C22⋊C4×C37C2311yescharacteristic
258C2×C22⋊C4×C37C2311yescharacteristic
259C2×C22⋊C4×C37C2311yescharacteristic
260C2×C22⋊C4×C37C2311yescharacteristic
261C2×C22⋊C4×C37C2311yescharacteristic
262C2×C22⋊C4×C37C2311yescharacteristic
263C2×C22⋊C4×C37C2311yescharacteristic
264C2×C22⋊C4×C37C2311yescharacteristic
265C2×C22⋊C4×C37C2311yescharacteristic
266C2×C22⋊C4×C37C2311yescharacteristic
267C2×C22⋊C4×C37C2311yescharacteristic
268C2×C22⋊C4×C37C2311yescharacteristic
269C2×C22⋊C4×C37C2311yescharacteristic
270C2×C22⋊C4×C37C2311yescharacteristic
271C2×C22⋊C4×C37C2311yescharacteristic
272C2×C22⋊C4×C37C2311yescharacteristic
273C2×C22⋊C4×C37C2311yescharacteristic
274C2×C22⋊C4×C37C2311yescharacteristic
275C2×C22⋊C4×C37C2311yescharacteristic
276C2×C22⋊C4×C37C2311yescharacteristic
277C2×C22⋊C4×C37C2311yescharacteristic
278C2×C22⋊C4×C37C2311yescharacteristic
279C2×C22⋊C4×C37C2311yescharacteristic
280C2×C22⋊C4×C37C2311yescharacteristic
281C2×C22⋊C4×C37C2311yescharacteristic
282C2×C22⋊C4×C37C2311yescharacteristic
283C2×C22⋊C4×C37C2311yescharacteristic
284C2×C22⋊C4×C37C2311yescharacteristic
285C2×C22⋊C4×C37C2311yescharacteristic
286C2×C22⋊C4×C37C2311yescharacteristic
287C2×C22⋊C4×C37C2311yescharacteristic
288C2×C22⋊C4×C37C2311yescharacteristic
289C2×C22⋊C4×C37C2311yescharacteristic
290C2×C22⋊C4×C37C2311yescharacteristic
291C2×C22⋊C4×C37C2311yescharacteristic
292C2×C22⋊C4×C37C2311yescharacteristic
293C2×C22⋊C4×C37C2311yescharacteristic
294C2×C22⋊C4×C37C2311yescharacteristic
295C2×C22⋊C4×C37C2311yescharacteristic
296C2×C22⋊C4×C37C2311yescharacteristic
297C2×C22⋊C4×C37C2311yescharacteristic
298C2×C22⋊C4×C37C2311yescharacteristic
299C2×C22⋊C4×C37C2311yescharacteristic
300C2×C22⋊C4×C37C2311yescharacteristic
301C2×C22⋊C4×C37C2311yescharacteristic
302C2×C22⋊C4×C37C2311yescharacteristic
303C2×C22⋊C4×C37C2311yescharacteristic
304C2×C22⋊C4×C37C2311yescharacteristic
305C2×C22⋊C4×C37C2311yescharacteristic
306C2×C22⋊C4×C37C2311yescharacteristic
307C2×C22⋊C4×C37C2311yescharacteristic
308C2×C22⋊C4×C37C2311yescharacteristic
309C2×C22⋊C4×C37C2311yescharacteristic
310C2×C22⋊C4×C37C2311yescharacteristic
311C2×C42×C37—42no—
312C2×C42×C37C2311yescharacteristic
313C2×C42×C37C2311yescharacteristic
314C2×C42×C37C2311yescharacteristic
315C2×C42×C37C2311yescharacteristic
316C2×C42×C37C2311yescharacteristic
317C2×C42×C37C2311yescharacteristic
318C2×C42×C37C2311yescharacteristic
319#95×C37C2311yescharacteristic
320#95×C37C2311yescharacteristic
321#95×C37C2311yescharacteristic
322#95×C37C2311yescharacteristic
323#95×C37C2311yescharacteristic
324#95×C37C2311yescharacteristic
325#95×C37C2311yescharacteristic
326#95×C37C2311yescharacteristic
327#95×C37C2311yescharacteristic
328#95×C37C2311yescharacteristic
329#95×C37C2311yescharacteristic
330#95×C37C2311yescharacteristic
331#95×C37C2311yescharacteristic
332#95×C37C2311yescharacteristic
333#95×C37C2311yescharacteristic
334#95×C37C2311yescharacteristic
335#95×C37C2311yescharacteristic
336#95×C37C2311yescharacteristic
337#95×C37C2311yescharacteristic
338#95×C37C2311yescharacteristic
339#95×C37C2311yescharacteristic
340#95×C37C2311yescharacteristic
341#95×C37C2311yescharacteristic
342#95×C37C2311yescharacteristic
343#95×C37C2311yescharacteristic
344#95×C37C2311yescharacteristic
345#95×C37C2311yescharacteristic
346#95×C37C2311yescharacteristic
347#95×C37C2311yescharacteristic
348#95×C37C2311yescharacteristic
349#95×C37C2311yescharacteristic
350#95×C37C2311yescharacteristic
351#95×C37C2311yescharacteristic
352#95×C37C2311yescharacteristic
353#95×C37C2311yescharacteristic
354#95×C37C2311yescharacteristic
355#95×C37C2311yescharacteristic
356#95×C37C2311yescharacteristic
357#95×C37C2311yescharacteristic
358#95×C37C2311yescharacteristic
359#95×C37C2311yescharacteristic
360#95×C37C2311yescharacteristic
361#95×C37C2311yescharacteristic
362#95×C37C2311yescharacteristic
363C24×C37—22no—
364C24×C37—22no—
365C24×C37—22no—
366C24×C37—41no—
367C24×C37—41no—
368C24×C37—41no—
369C24×C37—41no—
370C24×C37—41no—
371C24×C37—41no—
372C24×C37—41no—
373C24×C37—41no—
374C24×C37—41no—
375C24×C37—41no—
376C24×C37#4114yes—
377C24×C37C2411yescharacteristic
378C24×C37C2411yescharacteristic
379C24×C37C2411yescharacteristic
380C24×C37C2411yescharacteristic
381C24×C37C2411yescharacteristic
382C24×C37C2411yescharacteristic
383C2×Q8×C37—22no—
384C2×Q8×C37—41no—
385C2×Q8×C37—41no—
386C2×D4×C37—22no—
387C2×D4×C37—22no—
388C2×D4×C37—22no—
389C2×D4×C37—22no—
390C2×D4×C37—22no—
391C2×D4×C37—22no—
392C2×D4×C37—22no—
393C2×D4×C37—22no—
394C2×D4×C37—22no—
395C2×D4×C37—22no—
396C2×D4×C37—22no—
397C2×D4×C37—22no—
398C2×D4×C37—22no—
399C2×D4×C37—22no—
400C2×D4×C37—41no—
401C2×D4×C37—41no—
402C2×D4×C37—41no—
403C2×D4×C37—41no—
404C2×D4×C37—41no—
405C2×D4×C37—41no—
406C2×D4×C37—41no—
407C2×D4×C37—41no—
408C2×D4×C37—41no—
409C2×D4×C37—41no—
410C2×D4×C37—41no—
411C2×D4×C37—41no—
412C2×D4×C37—41no—
413C2×D4×C37—416no—
414C22×C4×C37—22no—
415C22×C4×C37—22no—
416C22×C4×C37—22no—
417C22×C4×C37—22no—
418C22×C4×C37—22no—
419C22×C4×C37—22no—
420C22×C4×C37—22no—
421C22×C4×C37—22no—
422C22×C4×C37—22no—
423C22×C4×C37—22no—
424C22×C4×C37—41no—
425C22×C4×C37—41no—
426C22×C4×C37—41no—
427C22×C4×C37—41no—
428C22×C4×C37—41no—
429C22×C4×C37—41no—
430C22×C4×C37—41no—
431C22×C4×C37—41no—
432C22×C4×C37—41no—
433C22×C4×C37—41no—
434C22×C4×C37—41no—
435C22×C4×C37—41no—
436C22×C4×C37—41no—
437C22×C4×C37—41no—
438C22×C4×C37—41no—
439C22×C4×C37—41no—
440C22×C4×C37—41no—
441C22×C4×C37—41no—
442C22×C4×C37—41no—
443C22×C4×C37—41no—
444C22×C4×C37C2411yescharacteristic
445C22×C4×C37C2411yescharacteristic
446C22×C4×C37C2411yescharacteristic
447C22×C4×C37C2411yescharacteristic
448C22×C4×C37C2411yescharacteristic
449C22×C4×C37C2411yescharacteristic
450C22×C4×C37C2411yescharacteristic
451C22×C4×C37C2411yescharacteristic
452C22×C4×C37C2411yescharacteristic
453C22×C4×C37C2411yescharacteristic
454C22×C4×C37C2411yescharacteristic
455C22×C4×C37C2411yescharacteristic
456C22×C4×C37C2411yescharacteristic
457C22×C4×C37C2411yescharacteristic
458C22×C4×C37C2411yescharacteristic
459C22×C4×C37C2411yescharacteristic
460C22×C4×C37C2411yescharacteristic
461C22×C4×C37C2411yescharacteristic
462C22×C4×C37C2411yescharacteristic
463C22×C4×C37C2411yescharacteristic
464C22×C4×C37C2411yescharacteristic
465C22×C4×C37C2411yescharacteristic
466C22×C4×C37C2411yescharacteristic
467C22×C4×C37C2411yescharacteristic
468C22×C4×C37C2411yescharacteristic
469C4⋊C4×C37—22no—
470C4⋊C4×C37—41no—
471C4⋊C4×C37—41no—
472C4⋊C4×C37—41no—
473C4⋊C4×C37—41no—
474C4⋊C4×C37—41no—
475C4⋊C4×C37—41no—
476C4⋊C4×C37—41no—
477C4⋊C4×C37—41no—
478C4⋊C4×C37—41no—
479C4⋊C4×C37—41no—
480C4⋊C4×C37—41no—
481C4⋊C4×C37—41no—
482C4⋊C4×C37—41no—
483C4⋊C4×C37—41no—
484C4⋊C4×C37—41no—
485C4⋊C4×C37—41no—
486C4⋊C4×C37—41no—
487C4⋊C4×C37—41no—
488C4⋊C4×C37—41no—
489C4⋊C4×C37—41no—
490C4⋊C4×C37—41no—
491C4⋊C4×C37—41no—
492C4⋊C4×C37—41no—
493C4⋊C4×C37—41no—
494C4⋊C4×C37—41no—
495C22⋊C4×C37—22no—
496C22⋊C4×C37—22no—
497C22⋊C4×C37—22no—
498C22⋊C4×C37—22no—
499C22⋊C4×C37—22no—
500C22⋊C4×C37—22no—
501C22⋊C4×C37—22no—
502C22⋊C4×C37—22no—
503C22⋊C4×C37—22no—
504C22⋊C4×C37—22no—
505C22⋊C4×C37—22no—
506C22⋊C4×C37—22no—
507C22⋊C4×C37—22no—
508C22⋊C4×C37—22no—
509C22⋊C4×C37—41no—
510C22⋊C4×C37—41no—
511C22⋊C4×C37—41no—
512C22⋊C4×C37—41no—
513C22⋊C4×C37—41no—
514C22⋊C4×C37—41no—
515C22⋊C4×C37—41no—
516C22⋊C4×C37—41no—
517C22⋊C4×C37—41no—
518C22⋊C4×C37—41no—
519C22⋊C4×C37—41no—
520C22⋊C4×C37—41no—
521C22⋊C4×C37—41no—
522C22⋊C4×C37—41no—
523C22⋊C4×C37—41no—
524C22⋊C4×C37—41no—
525C22⋊C4×C37—41no—
526C22⋊C4×C37—41no—
527C22⋊C4×C37—41no—
528C22⋊C4×C37—41no—
529C22⋊C4×C37—41no—
530C22⋊C4×C37—41no—
531C22⋊C4×C37—41no—
532C22⋊C4×C37—41no—
533C22⋊C4×C37—41no—
534C22⋊C4×C37—41no—
535C22⋊C4×C37—41no—
536C22⋊C4×C37—41no—
537C22⋊C4×C37—41no—
538C22⋊C4×C37—41no—
539C22⋊C4×C37—41no—
540C22⋊C4×C37—41no—
541C22⋊C4×C37—41no—
542C22⋊C4×C37—41no—
543C22⋊C4×C37—41no—
544C22⋊C4×C37—41no—
545C22⋊C4×C37—41no—
546C22⋊C4×C37—41no—
547C22⋊C4×C37—41no—
548C22⋊C4×C37—41no—
549C22⋊C4×C37—41no—
550C22⋊C4×C37—41no—
551C42×C37—22no—
552C42×C37—22no—
553C42×C37—41no—
554C42×C37—41no—
555C42×C37—41no—
556C42×C37—41no—
557C42×C37—41no—
558C23×C37—21no—
559C23×C37—21no—
560C23×C37—21no—
561C23×C37—21no—
562C23×C37—21no—
563C23×C37—21no—
564C23×C37—21no—
565C23×C37—21no—
566C23×C37—21no—
567C23×C37—21no—
568C23×C37—21no—
569C23×C37—21no—
570C23×C37—21no—
571C23×C37—21no—
572C23×C37—21no—
573C23×C37—21no—
574C23×C37—28no—
575C23×C37—21no—
576C23×C37—21no—
577C23×C37—21no—
578C23×C37—21no—
579C23×C37—21no—
580C23×C37—21no—
581C23×C37—21no—
582C23×C37—21no—
583C23×C37—21no—
584C23×C37—21no—
585C23×C37—21no—
586C23×C37—21no—
587C23×C37—21no—
588C23×C37—21no—
589C23×C37—21no—
590C23×C37—21no—
591C23×C37—21no—
592C23×C37—21no—
593C23×C37—21no—
594C23×C37—21no—
595C23×C37—21no—
596C23×C37—44no—
597C23×C37—44no—
598C23×C37—44no—
599C23×C37—82no—
600C23×C37—82no—
601C23×C37—82no—
602C23×C37—82no—
603C23×C37—82no—
604C23×C37—82no—
605C23×C37—82no—
606C23×C37—82no—
607C23×C37—82no—
608C23×C37—82no—
609C23×C37C2×#4112yes—
610C23×C37C2×#4112yes—
611C23×C37C2×#4112yes—
612C23×C37H(5,𝔽2)12yes—
613C23×C37H(5,𝔽2)12yes—
614C23×C37C2511yescharacteristic
615Q8×C37—82no—
616D4×C37—44no—
617D4×C37—44no—
618D4×C37—44no—
619D4×C37—44no—
620D4×C37—44no—
621D4×C37—82no—
622D4×C37—82no—
623D4×C37—82no—
624D4×C37—82no—
625C2×C4×C37—21no—
626C2×C4×C37—21no—
627C2×C4×C37—21no—
628C2×C4×C37—21no—
629C2×C4×C37—21no—
630C2×C4×C37—21no—
631C2×C4×C37—21no—
632C2×C4×C37—21no—
633C2×C4×C37—21no—
634C2×C4×C37—21no—
635C2×C4×C37—21no—
636C2×C4×C37—21no—
637C2×C4×C37—21no—
638C2×C4×C37—21no—
639C2×C4×C37—21no—
640C2×C4×C37—21no—
641C2×C4×C37—21no—
642C2×C4×C37—21no—
643C2×C4×C37—21no—
644C2×C4×C37—21no—
645C2×C4×C37—21no—
646C2×C4×C37—21no—
647C2×C4×C37—21no—
648C2×C4×C37—21no—
649C2×C4×C37—21no—
650C2×C4×C37—21no—
651C2×C4×C37—21no—
652C2×C4×C37—21no—
653C2×C4×C37—21no—
654C2×C4×C37—21no—
655C2×C4×C37—21no—
656C2×C4×C37—21no—
657C2×C4×C37—21no—
658C2×C4×C37—21no—
659C2×C4×C37—21no—
660C2×C4×C37—21no—
661C2×C4×C37—21no—
662C2×C4×C37—21no—
663C2×C4×C37—21no—
664C2×C4×C37—21no—
665C2×C4×C37—21no—
666C2×C4×C37—21no—
667C2×C4×C37—21no—
668C2×C4×C37—21no—
669C2×C4×C37—21no—
670C2×C4×C37—21no—
671C2×C4×C37—21no—
672C2×C4×C37—21no—
673C2×C4×C37—21no—
674C2×C4×C37—21no—
675C2×C4×C37—21no—
676C2×C4×C37—21no—
677C2×C4×C37—21no—
678C2×C4×C37—21no—
679C2×C4×C37—21no—
680C2×C4×C37—21no—
681C2×C4×C37—21no—
682C2×C4×C37—21no—
683C2×C4×C37—21no—
684C2×C4×C37—21no—
685C2×C4×C37—21no—
686C2×C4×C37—21no—
687C2×C4×C37—21no—
688C2×C4×C37—21no—
689C2×C4×C37—21no—
690C2×C4×C37—21no—
691C2×C4×C37—21no—
692C2×C4×C37—21no—
693C2×C4×C37—21no—
694C2×C4×C37—21no—
695C2×C4×C37—21no—
696C2×C4×C37—21no—
697C2×C4×C37—21no—
698C2×C4×C37—21no—
699C2×C4×C37—44no—
700C2×C4×C37—44no—
701C2×C4×C37—44no—
702C2×C4×C37—44no—
703C2×C4×C37—44no—
704C2×C4×C37—82no—
705C2×C4×C37—82no—
706C2×C4×C37—82no—
707C2×C4×C37—82no—
708C2×C4×C37—82no—
709C2×C4×C37H(5,𝔽2)12yes—
710#36779C3711yesmaximal, characteristic, direct product factor, Sylow
711C22×C37—22no—
712C22×C37—22no—
713C22×C37—22no—
714C22×C37—22no—
715C22×C37—22no—
716C22×C37—22no—
717C22×C37—22no—
718C22×C37—22no—
719C22×C37—22no—
720C22×C37—22no—
721C22×C37—22no—
722C22×C37—22no—
723C22×C37—41no—
724C22×C37—41no—
725C22×C37—41no—
726C22×C37—41no—
727C22×C37—41no—
728C22×C37—41no—
729C22×C37—41no—
730C22×C37—41no—
731C22×C37—41no—
732C22×C37—41no—
733C22×C37—41no—
734C22×C37—41no—
735C22×C37—41no—
736C22×C37—41no—
737C22×C37—41no—
738C22×C37—41no—
739C22×C37—41no—
740C22×C37—41no—
741C22×C37—41no—
742C22×C37—41no—
743C22×C37—41no—
744C22×C37—41no—
745C22×C37—41no—
746C22×C37—41no—
747C22×C37—41no—
748C22×C37—41no—
749C22×C37—41no—
750C22×C37—41no—
751C22×C37—41no—
752C22×C37—88no—
753C22×C37—88no—
754C22×C37#53814yes—
755C22×C37C22×#4111yescharacteristic
756C22×C37C2×H(5,𝔽2)11yescharacteristic
757C22×C37C2×H(5,𝔽2)11yescharacteristic
758C22×C37C2×H(5,𝔽2)11yescharacteristic
759C22×C37#58511yescharacteristic
760C22×C37#58511yescharacteristic
761C22×C37#58511yescharacteristic
762C4×C37—22no—
763C4×C37—41no—
764C4×C37—41no—
765C4×C37—41no—
766C4×C37—41no—
767C4×C37—41no—
768C4×C37—41no—
769C4×C37—41no—
770C4×C37—41no—
771C4×C37—41no—
772C4×C37—41no—
773C4×C37—41no—
774C4×C37—41no—
775C4×C37—41no—
776C4×C37—41no—
777C4×C37—41no—
778C4×C37—41no—
779C4×C37—41no—
780C4×C37—41no—
781C4×C37—41no—
782C4×C37—41no—
783C4×C37—41no—
784C4×C37—41no—
785C4×C37—41no—
786C4×C37—41no—
787#2852C2×C3711yescharacteristic, complemented
788#2850C2×C3711yescharacteristic, complemented
789#2781C2×C3711yescharacteristic, complemented
790#2781C2×C3711yescharacteristic, complemented
791#2778C2×C3711yescharacteristic, complemented
792#2765C2×C3711yescharacteristic, complemented
793#2764C2×C3711yescharacteristic, complemented
794#2761C2×C3711yescharacteristic, complemented
795#2756C2×C3711yescharacteristic, complemented
796#2749C2×C3711yescharacteristic, complemented
797#2743C2×C3711yescharacteristic, complemented
798#2741C2×C3711yescharacteristic, complemented
799#2735C2×C3711yescharacteristic, complemented
800#2735C2×C3711yescharacteristic, complemented
801#2730C2×C3711yescharacteristic, complemented
802#2702C2×C3711yescharacteristic, complemented
803#2685C2×C3711yescharacteristic, complemented
804#2684C2×C3711yescharacteristic, complemented
805#2623C2×C3711yescharacteristic, complemented
806#2618C2×C3711yescharacteristic, complemented
807#2510C2×C3711yescharacteristic, complemented
808#2488C2×C3711yescharacteristic, complemented
809#2444C2×C3711yescharacteristic, complemented
810#2437C2×C3711yescharacteristic, complemented
811#2425C2×C3711yescharacteristic, complemented
812#2412C2×C3711yescharacteristic, complemented
813#2410C2×C3711yescharacteristic
814#2405C2×C3711yescharacteristic, complemented
815#2321C2×C3711yescharacteristic, complemented
816#2308C2×C3711yescharacteristic, complemented
817C2×#388C2×C3711yescharacteristic, complemented
818C2×C37—24no—
819C2×C37—42no—
820C2×C37—42no—
821C2×C37—81no—
822C2×C37—81no—
823C2×C37—81no—
824C2×C37C2×#53811yescharacteristic
825C2×C37#349111yescharacteristic
826C2×C37#350511yescharacteristic
827C2×C37#353411yescharacteristic
828C2×C37#354211yescharacteristic
829C2×C37#354511yescharacteristic
830C2×C37#356011yescharacteristic
831C23×D4C22×C3711yescharacteristic
832C2×#126C22×C3711yescharacteristic, complemented
833C2×#124C22×C3711yescharacteristic, complemented
834C2×#123C22×C3711yescharacteristic
835C2×#123C22×C3711yescharacteristic
836C2×#123C22×C3711yescharacteristic, complemented
837C2×C22⋊Q8C22×C3711yescharacteristic, complemented
838C2×C22⋊Q8C22×C3711yescharacteristic, complemented
839C2×#121C22×C3711yescharacteristic
840C2×#121C22×C3711yescharacteristic
841C2×#120C22×C3711yescharacteristic
842C2×#120C22×C3711yescharacteristic
843C2×C4×D4C22×C3711yescharacteristic, complemented
844C22×C4⋊C4C22×C3711yescharacteristic, complemented
845C22×C22⋊C4C22×C3711yescharacteristic
846C22×C22⋊C4C22×C3711yescharacteristic
847C22×C22⋊C4C22×C3711yescharacteristic
848C22×C22⋊C4C22×C3711yescharacteristic
849C22×C42C22×C3711yescharacteristic, complemented
850#401C22×C3711yescharacteristic, complemented
851#400C22×C3711yescharacteristic, complemented
852#400C22×C3711yescharacteristic, complemented
853#400C22×C3711yescharacteristic, complemented
854#400C22×C3711yescharacteristic, complemented
855#400C22×C3711yescharacteristic, complemented
856#400C22×C3711yescharacteristic, complemented
857#399C22×C3711yescharacteristic
858#399C22×C3711yescharacteristic, complemented
859#399C22×C3711yescharacteristic, complemented
860#398C22×C3711yescharacteristic, complemented
861#398C22×C3711yescharacteristic, complemented
862#398C22×C3711yescharacteristic, complemented
863#398C22×C3711yescharacteristic, complemented
864#398C22×C3711yescharacteristic, complemented
865#397C22×C3711yescharacteristic
866#397C22×C3711yescharacteristic
867#397C22×C3711yescharacteristic, complemented
868#397C22×C3711yescharacteristic, complemented
869#397C22×C3711yescharacteristic, complemented
870#397C22×C3711yescharacteristic, complemented
871#397C22×C3711yescharacteristic, complemented
872#397C22×C3711yescharacteristic, complemented
873#397C22×C3711yescharacteristic, complemented
874#397C22×C3711yescharacteristic, complemented
875#396C22×C3711yescharacteristic
876#396C22×C3711yescharacteristic
877#396C22×C3711yescharacteristic, complemented
878#396C22×C3711yescharacteristic, complemented
879#396C22×C3711yescharacteristic, complemented
880#396C22×C3711yescharacteristic, complemented
881#396C22×C3711yescharacteristic, complemented
882#394C22×C3711yescharacteristic
883#394C22×C3711yescharacteristic
884#394C22×C3711yescharacteristic
885#394C22×C3711yescharacteristic
886#394C22×C3711yescharacteristic
887#394C22×C3711yescharacteristic
888#394C22×C3711yescharacteristic
889#394C22×C3711yescharacteristic
890#394C22×C3711yescharacteristic, complemented
891#394C22×C3711yescharacteristic, complemented
892#394C22×C3711yescharacteristic, complemented
893#394C22×C3711yescharacteristic, complemented
894#393C22×C3711yescharacteristic
895#393C22×C3711yescharacteristic, complemented
896#392C22×C3711yescharacteristic
897#392C22×C3711yescharacteristic
898#391C22×C3711yescharacteristic, complemented
899#391C22×C3711yescharacteristic, complemented
900#390C22×C3711yescharacteristic
901#390C22×C3711yescharacteristic, complemented
902#390C22×C3711yescharacteristic, complemented
903#389C22×C3711yescharacteristic, complemented
904#388C22×C3711yescharacteristic
905#388C22×C3711yescharacteristic
906#388C22×C3711yescharacteristic
907#388C22×C3711yescharacteristic
908#388C22×C3711yescharacteristic
909#388C22×C3711yescharacteristic
910#388C22×C3711yescharacteristic, complemented
911#388C22×C3711yescharacteristic, complemented
912#388C22×C3711yescharacteristic, complemented
913#388C22×C3711yescharacteristic, complemented
914#388C22×C3711yescharacteristic, complemented
915#388C22×C3711yescharacteristic, complemented
916#388C22×C3711yescharacteristic, complemented
917#388C22×C3711yescharacteristic, complemented
918#388C22×C3711yescharacteristic, complemented
919#388C22×C3711yescharacteristic, complemented
920#388C22×C3711yescharacteristic, complemented
921#388C22×C3711yescharacteristic, complemented
922#388C22×C3711yescharacteristic, complemented
923#388C22×C3711yescharacteristic, complemented
924#388C22×C3711yescharacteristic, complemented
925#388C22×C3711yescharacteristic, complemented
926#388C22×C3711yescharacteristic, complemented
927#388C22×C3711yescharacteristic, complemented
928#388C22×C3711yescharacteristic, complemented
929#387C22×C3711yescharacteristic, complemented
930#387C22×C3711yescharacteristic, complemented
931#387C22×C3711yescharacteristic, complemented
932#387C22×C3711yescharacteristic, complemented
933#387C22×C3711yescharacteristic, complemented
934#386C22×C3711yescharacteristic
935#386C22×C3711yescharacteristic
936#386C22×C3711yescharacteristic
937#386C22×C3711yescharacteristic
938#386C22×C3711yescharacteristic
939#386C22×C3711yescharacteristic
940#386C22×C3711yescharacteristic
941#386C22×C3711yescharacteristic
942#386C22×C3711yescharacteristic
943#386C22×C3711yescharacteristic
944#386C22×C3711yescharacteristic
945#386C22×C3711yescharacteristic
946#386C22×C3711yescharacteristic
947#386C22×C3711yescharacteristic
948#386C22×C3711yescharacteristic, complemented
949#386C22×C3711yescharacteristic, complemented
950#386C22×C3711yescharacteristic, complemented
951#386C22×C3711yescharacteristic, complemented
952#386C22×C3711yescharacteristic, complemented
953#386C22×C3711yescharacteristic, complemented
954#386C22×C3711yescharacteristic, complemented
955#385C22×C3711yescharacteristic
956#385C22×C3711yescharacteristic
957#385C22×C3711yescharacteristic
958#385C22×C3711yescharacteristic, complemented
959#385C22×C3711yescharacteristic, complemented
960#385C22×C3711yescharacteristic, complemented
961#385C22×C3711yescharacteristic, complemented
962#385C22×C3711yescharacteristic, complemented
963#385C22×C3711yescharacteristic, complemented
964#383C22×C3711yescharacteristic, complemented
965#383C22×C3711yescharacteristic, complemented
966#382C22×C3711yescharacteristic, complemented
967#382C22×C3711yescharacteristic, complemented
968#381C22×C3711yescharacteristic
969#381C22×C3711yescharacteristic
970#381C22×C3711yescharacteristic, complemented
971#381C22×C3711yescharacteristic, complemented
972#380C22×C3711yescharacteristic, complemented
973#380C22×C3711yescharacteristic, complemented
974#380C22×C3711yescharacteristic, complemented
975#380C22×C3711yescharacteristic, complemented
976#380C22×C3711yescharacteristic, complemented
977#379C22×C3711yescharacteristic
978#379C22×C3711yescharacteristic
979#379C22×C3711yescharacteristic
980#379C22×C3711yescharacteristic
981#379C22×C3711yescharacteristic
982#379C22×C3711yescharacteristic
983C4×C22⋊C4C22×C3711yescharacteristic, complemented
984C2×#95C22×C3711yescharacteristic, complemented
985C2×#95C22×C3711yescharacteristic, complemented
986C37#3677911yescharacteristic, direct product factor, Sylow
987C25C23×C3711yescharacteristic
988C25C23×C3711yescharacteristic
989C22×Q8C23×C3711yescharacteristic
990C22×D4—24no—
991C22×D4—42no—
992C22×D4—42no—
993C22×D4C23×C3711yescharacteristic
994C22×D4C23×C3711yescharacteristic
995C22×D4C23×C3711yescharacteristic
996C22×D4C23×C3711yescharacteristic
997C22×D4C23×C3711yescharacteristic
998C22×D4C23×C3711yescharacteristic
999C22×D4C23×C3711yescharacteristic
1000C22×D4C23×C3711yescharacteristic
1001C22×D4C23×C3711yescharacteristic
1002C23×C4C23×C3711yescharacteristic
1003C23×C4C23×C3711yescharacteristic
1004C23×C4C23×C3711yescharacteristic
1005C23×C4C23×C3711yescharacteristic
1006C23×C4C23×C3711yescharacteristic
1007C23×C4C23×C3711yescharacteristic
1008C23×C4C23×C3711yescharacteristic
1009C23×C4C23×C3711yescharacteristic
1010C23×C4C23×C3711yescharacteristic
1011C23×C4C23×C3711yescharacteristic
1012#126—42no—
1013#124—42no—
1014#123—42no—
1015#123—42no—
1016#123—42no—
1017C22⋊Q8—42no—
1018C22⋊Q8—42no—
1019#121—42no—
1020#121—42no—
1021#120—24no—
1022#120—42no—
1023C4×D4—42no—
1024C2×C4⋊C4—42no—
1025C2×C4⋊C4C23×C3711yescharacteristic
1026C2×C4⋊C4C23×C3711yescharacteristic
1027C2×C4⋊C4C23×C3711yescharacteristic
1028C2×C4⋊C4C23×C3711yescharacteristic
1029C2×C4⋊C4C23×C3711yescharacteristic
1030C2×C4⋊C4C23×C3711yescharacteristic
1031C2×C4⋊C4C23×C3711yescharacteristic
1032C2×C4⋊C4C23×C3711yescharacteristic
1033C2×C4⋊C4C23×C3711yescharacteristic
1034C2×C4⋊C4C23×C3711yescharacteristic
1035C2×C4⋊C4C23×C3711yescharacteristic
1036C2×C4⋊C4C23×C3711yescharacteristic
1037C2×C4⋊C4C23×C3711yescharacteristic
1038C2×C4⋊C4C23×C3711yescharacteristic
1039C2×C4⋊C4C23×C3711yescharacteristic
1040C2×C4⋊C4C23×C3711yescharacteristic
1041C2×C4⋊C4C23×C3711yescharacteristic
1042C2×C4⋊C4C23×C3711yescharacteristic
1043C2×C4⋊C4C23×C3711yescharacteristic
1044C2×C4⋊C4C23×C3711yescharacteristic
1045C2×C4⋊C4C23×C3711yescharacteristic
1046C2×C4⋊C4C23×C3711yescharacteristic
1047C2×C4⋊C4C23×C3711yescharacteristic
1048C2×C4⋊C4C23×C3711yescharacteristic
1049C2×C4⋊C4C23×C3711yescharacteristic
1050C2×C4⋊C4C23×C3711yescharacteristic
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—42no—
1054C2×C22⋊C4—42no—
1055C2×C22⋊C4C23×C3711yescharacteristic
1056C2×C22⋊C4C23×C3711yescharacteristic
1057C2×C22⋊C4C23×C3711yescharacteristic
1058C2×C22⋊C4C23×C3711yescharacteristic
1059C2×C22⋊C4C23×C3711yescharacteristic
1060C2×C22⋊C4C23×C3711yescharacteristic
1061C2×C22⋊C4C23×C3711yescharacteristic
1062C2×C22⋊C4C23×C3711yescharacteristic
1063C2×C22⋊C4C23×C3711yescharacteristic
1064C2×C22⋊C4C23×C3711yescharacteristic
1065C2×C22⋊C4C23×C3711yescharacteristic
1066C2×C22⋊C4C23×C3711yescharacteristic
1067C2×C22⋊C4C23×C3711yescharacteristic
1068C2×C22⋊C4C23×C3711yescharacteristic
1069C2×C22⋊C4C23×C3711yescharacteristic
1070C2×C22⋊C4C23×C3711yescharacteristic
1071C2×C22⋊C4C23×C3711yescharacteristic
1072C2×C22⋊C4C23×C3711yescharacteristic
1073C2×C22⋊C4C23×C3711yescharacteristic
1074C2×C22⋊C4C23×C3711yescharacteristic
1075C2×C22⋊C4C23×C3711yescharacteristic
1076C2×C22⋊C4C23×C3711yescharacteristic
1077C2×C22⋊C4C23×C3711yescharacteristic
1078C2×C22⋊C4C23×C3711yescharacteristic
1079C2×C22⋊C4C23×C3711yescharacteristic
1080C2×C22⋊C4C23×C3711yescharacteristic
1081C2×C22⋊C4C23×C3711yescharacteristic
1082C2×C22⋊C4C23×C3711yescharacteristic
1083C2×C22⋊C4C23×C3711yescharacteristic
1084C2×C22⋊C4C23×C3711yescharacteristic
1085C2×C22⋊C4C23×C3711yescharacteristic
1086C2×C22⋊C4C23×C3711yescharacteristic
1087C2×C22⋊C4C23×C3711yescharacteristic
1088C2×C22⋊C4C23×C3711yescharacteristic
1089C2×C22⋊C4C23×C3711yescharacteristic
1090C2×C22⋊C4C23×C3711yescharacteristic
1091C2×C22⋊C4C23×C3711yescharacteristic
1092C2×C22⋊C4C23×C3711yescharacteristic
1093C2×C22⋊C4C23×C3711yescharacteristic
1094C2×C22⋊C4C23×C3711yescharacteristic
1095C2×C22⋊C4C23×C3711yescharacteristic
1096C2×C22⋊C4C23×C3711yescharacteristic
1097C2×C22⋊C4C23×C3711yescharacteristic
1098C2×C22⋊C4C23×C3711yescharacteristic
1099C2×C22⋊C4C23×C3711yescharacteristic
1100C2×C22⋊C4C23×C3711yescharacteristic
1101C2×C22⋊C4C23×C3711yescharacteristic
1102C2×C22⋊C4C23×C3711yescharacteristic
1103C2×C22⋊C4C23×C3711yescharacteristic
1104C2×C22⋊C4C23×C3711yescharacteristic
1105C2×C22⋊C4C23×C3711yescharacteristic
1106C2×C22⋊C4C23×C3711yescharacteristic
1107C2×C22⋊C4C23×C3711yescharacteristic
1108C2×C22⋊C4C23×C3711yescharacteristic
1109C2×C22⋊C4C23×C3711yescharacteristic
1110C2×C22⋊C4C23×C3711yescharacteristic
1111C2×C42—42no—
1112C2×C42C23×C3711yescharacteristic
1113C2×C42C23×C3711yescharacteristic
1114C2×C42C23×C3711yescharacteristic
1115C2×C42C23×C3711yescharacteristic
1116C2×C42C23×C3711yescharacteristic
1117C2×C42C23×C3711yescharacteristic
1118C2×C42C23×C3711yescharacteristic
1119#95C23×C3711yescharacteristic
1120#95C23×C3711yescharacteristic
1121#95C23×C3711yescharacteristic
1122#95C23×C3711yescharacteristic
1123#95C23×C3711yescharacteristic
1124#95C23×C3711yescharacteristic
1125#95C23×C3711yescharacteristic
1126#95C23×C3711yescharacteristic
1127#95C23×C3711yescharacteristic
1128#95C23×C3711yescharacteristic
1129#95C23×C3711yescharacteristic
1130#95C23×C3711yescharacteristic
1131#95C23×C3711yescharacteristic
1132#95C23×C3711yescharacteristic
1133#95C23×C3711yescharacteristic
1134#95C23×C3711yescharacteristic
1135#95C23×C3711yescharacteristic
1136#95C23×C3711yescharacteristic
1137#95C23×C3711yescharacteristic
1138#95C23×C3711yescharacteristic
1139#95C23×C3711yescharacteristic
1140#95C23×C3711yescharacteristic
1141#95C23×C3711yescharacteristic
1142#95C23×C3711yescharacteristic
1143#95C23×C3711yescharacteristic
1144#95C23×C3711yescharacteristic
1145#95C23×C3711yescharacteristic
1146#95C23×C3711yescharacteristic
1147#95C23×C3711yescharacteristic
1148#95C23×C3711yescharacteristic
1149#95C23×C3711yescharacteristic
1150#95C23×C3711yescharacteristic
1151#95C23×C3711yescharacteristic
1152#95C23×C3711yescharacteristic
1153#95C23×C3711yescharacteristic
1154#95C23×C3711yescharacteristic
1155#95C23×C3711yescharacteristic
1156#95C23×C3711yescharacteristic
1157#95C23×C3711yescharacteristic
1158#95C23×C3711yescharacteristic
1159#95C23×C3711yescharacteristic
1160#95C23×C3711yescharacteristic
1161#95C23×C3711yescharacteristic
1162#95C23×C3711yescharacteristic
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×C3714yes—
1177C24C24×C3711yescharacteristic
1178C24C24×C3711yescharacteristic
1179C24C24×C3711yescharacteristic
1180C24C24×C3711yescharacteristic
1181C24C24×C3711yescharacteristic
1182C24C24×C3711yescharacteristic
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×C3711yescharacteristic
1245C22×C4C24×C3711yescharacteristic
1246C22×C4C24×C3711yescharacteristic
1247C22×C4C24×C3711yescharacteristic
1248C22×C4C24×C3711yescharacteristic
1249C22×C4C24×C3711yescharacteristic
1250C22×C4C24×C3711yescharacteristic
1251C22×C4C24×C3711yescharacteristic
1252C22×C4C24×C3711yescharacteristic
1253C22×C4C24×C3711yescharacteristic
1254C22×C4C24×C3711yescharacteristic
1255C22×C4C24×C3711yescharacteristic
1256C22×C4C24×C3711yescharacteristic
1257C22×C4C24×C3711yescharacteristic
1258C22×C4C24×C3711yescharacteristic
1259C22×C4C24×C3711yescharacteristic
1260C22×C4C24×C3711yescharacteristic
1261C22×C4C24×C3711yescharacteristic
1262C22×C4C24×C3711yescharacteristic
1263C22×C4C24×C3711yescharacteristic
1264C22×C4C24×C3711yescharacteristic
1265C22×C4C24×C3711yescharacteristic
1266C22×C4C24×C3711yescharacteristic
1267C22×C4C24×C3711yescharacteristic
1268C22×C4C24×C3711yescharacteristic
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×C3712yes—
1410C23C2×#41×C3712yes—
1411C23C2×#41×C3712yes—
1412C23H(5,𝔽2)×C3712yes—
1413C23H(5,𝔽2)×C3712yes—
1414C23C25×C3711yescharacteristic
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×C4H(5,𝔽2)×C3712yes—
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—
1553C22C37×#53814yes—
1554C22C22×#41×C3711yescharacteristic
1555C22C2×H(5,𝔽2)×C3711yescharacteristic
1556C22C2×H(5,𝔽2)×C3711yescharacteristic
1557C22C2×H(5,𝔽2)×C3711yescharacteristic
1558C22C37×#58511yescharacteristic
1559C22C37×#58511yescharacteristic
1560C22C37×#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×C37×#53811yescharacteristic
1593C2C37×#349111yescharacteristic
1594C2C37×#350511yescharacteristic
1595C2C37×#353411yescharacteristic
1596C2C37×#354211yescharacteristic
1597C2C37×#354511yescharacteristic
1598C2C37×#356011yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
prime radicalC37×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#2852C2semidirect
2. C37×#2850C2semidirect
3. C37×#2781C2semidirect
4. C37×#2781C2semidirect
5. C37×#2778C2semidirect
6. C37×#2765C2semidirect
7. C37×#2764C2semidirect
8. C37×#2761C2semidirect
9. C37×#2756C2semidirect
10. C37×#2749C2semidirect
11. C37×#2743C2semidirect
12. C37×#2741C2semidirect
13. C37×#2735C2semidirect
14. C37×#2735C2semidirect
15. C37×#2730C2semidirect
16. C37×#2702C2semidirect
17. C37×#2685C2semidirect
18. C37×#2684C2semidirect
19. C37×#2623C2semidirect
20. C37×#2618C2semidirect
21. C37×#2510C2semidirect
22. C37×#2488C2semidirect
23. C37×#2444C2semidirect
24. C37×#2437C2semidirect
25. C37×#2425C2semidirect
26. C37×#2412C2semidirect
28. C37×#2405C2semidirect
29. C37×#2321C2semidirect
30. C37×#2308C2semidirect
31. C2×C37×#388C2semidirect
33. C2×#126×C37C22semidirect
34. C2×#124×C37C22semidirect
37. C2×#123×C37C22semidirect
38. C2×C22⋊Q8×C37C22semidirect
39. C2×C22⋊Q8×C37C22semidirect
44. C2×C4×D4×C37C22semidirect
45. C22×C4⋊C4×C37C22semidirect
50. C22×C42×C37C22semidirect
51. C37×#401C22semidirect
52. C37×#400C22semidirect
53. C37×#400C22semidirect
54. C37×#400C22semidirect
55. C37×#400C22semidirect
56. C37×#400C22semidirect
57. C37×#400C22semidirect
59. C37×#399C22semidirect
60. C37×#399C22semidirect
61. C37×#398C22semidirect
62. C37×#398C22semidirect
63. C37×#398C22semidirect
64. C37×#398C22semidirect
65. C37×#398C22semidirect
68. C37×#397C22semidirect
69. C37×#397C22semidirect
70. C37×#397C22semidirect
71. C37×#397C22semidirect
72. C37×#397C22semidirect
73. C37×#397C22semidirect
74. C37×#397C22semidirect
75. C37×#397C22semidirect
78. C37×#396C22semidirect
79. C37×#396C22semidirect
80. C37×#396C22semidirect
81. C37×#396C22semidirect
82. C37×#396C22semidirect
91. C37×#394C22semidirect
92. C37×#394C22semidirect
93. C37×#394C22semidirect
94. C37×#394C22semidirect
96. C37×#393C22semidirect
99. C37×#391C22semidirect
100. C37×#391C22semidirect
102. C37×#390C22semidirect
103. C37×#390C22semidirect
104. C37×#389C22semidirect
111. C37×#388C22semidirect
112. C37×#388C22semidirect
113. C37×#388C22semidirect
114. C37×#388C22semidirect
115. C37×#388C22semidirect
116. C37×#388C22semidirect
117. C37×#388C22semidirect
118. C37×#388C22semidirect
119. C37×#388C22semidirect
120. C37×#388C22semidirect
121. C37×#388C22semidirect
122. C37×#388C22semidirect
123. C37×#388C22semidirect
124. C37×#388C22semidirect
125. C37×#388C22semidirect
126. C37×#388C22semidirect
127. C37×#388C22semidirect
128. C37×#388C22semidirect
129. C37×#388C22semidirect
130. C37×#387C22semidirect
131. C37×#387C22semidirect
132. C37×#387C22semidirect
133. C37×#387C22semidirect
134. C37×#387C22semidirect
149. C37×#386C22semidirect
150. C37×#386C22semidirect
151. C37×#386C22semidirect
152. C37×#386C22semidirect
153. C37×#386C22semidirect
154. C37×#386C22semidirect
155. C37×#386C22semidirect
159. C37×#385C22semidirect
160. C37×#385C22semidirect
161. C37×#385C22semidirect
162. C37×#385C22semidirect
163. C37×#385C22semidirect
164. C37×#385C22semidirect
165. C37×#383C22semidirect
166. C37×#383C22semidirect
167. C37×#382C22semidirect
168. C37×#382C22semidirect
171. C37×#381C22semidirect
172. C37×#381C22semidirect
173. C37×#380C22semidirect
174. C37×#380C22semidirect
175. C37×#380C22semidirect
176. C37×#380C22semidirect
177. C37×#380C22semidirect
184. C4×C22⋊C4×C37C22semidirect
185. C2×#95×C37C22semidirect
186. C2×#95×C37C22semidirect
710. #36779C37direct (N × H)
787. #2852C2×C37semidirect
788. #2850C2×C37semidirect
789. #2781C2×C37semidirect
790. #2781C2×C37semidirect
791. #2778C2×C37semidirect
792. #2765C2×C37semidirect
793. #2764C2×C37semidirect
794. #2761C2×C37semidirect
795. #2756C2×C37semidirect
796. #2749C2×C37semidirect
797. #2743C2×C37semidirect
798. #2741C2×C37semidirect
799. #2735C2×C37semidirect
800. #2735C2×C37semidirect
801. #2730C2×C37semidirect
802. #2702C2×C37semidirect
803. #2685C2×C37semidirect
804. #2684C2×C37semidirect
805. #2623C2×C37semidirect
806. #2618C2×C37semidirect
807. #2510C2×C37semidirect
808. #2488C2×C37semidirect
809. #2444C2×C37semidirect
810. #2437C2×C37semidirect
811. #2425C2×C37semidirect
812. #2412C2×C37semidirect
814. #2405C2×C37semidirect
815. #2321C2×C37semidirect
816. #2308C2×C37semidirect
817. C2×#388C2×C37semidirect
832. C2×#126C22×C37semidirect
833. C2×#124C22×C37semidirect
836. C2×#123C22×C37semidirect
837. C2×C22⋊Q8C22×C37semidirect
838. C2×C22⋊Q8C22×C37semidirect
843. C2×C4×D4C22×C37semidirect
844. C22×C4⋊C4C22×C37semidirect
849. C22×C42C22×C37semidirect
850. #401C22×C37semidirect
851. #400C22×C37semidirect
852. #400C22×C37semidirect
853. #400C22×C37semidirect
854. #400C22×C37semidirect
855. #400C22×C37semidirect
856. #400C22×C37semidirect
858. #399C22×C37semidirect
859. #399C22×C37semidirect
860. #398C22×C37semidirect
861. #398C22×C37semidirect
862. #398C22×C37semidirect
863. #398C22×C37semidirect
864. #398C22×C37semidirect
867. #397C22×C37semidirect
868. #397C22×C37semidirect
869. #397C22×C37semidirect
870. #397C22×C37semidirect
871. #397C22×C37semidirect
872. #397C22×C37semidirect
873. #397C22×C37semidirect
874. #397C22×C37semidirect
877. #396C22×C37semidirect
878. #396C22×C37semidirect
879. #396C22×C37semidirect
880. #396C22×C37semidirect
881. #396C22×C37semidirect
890. #394C22×C37semidirect
891. #394C22×C37semidirect
892. #394C22×C37semidirect
893. #394C22×C37semidirect
895. #393C22×C37semidirect
898. #391C22×C37semidirect
899. #391C22×C37semidirect
901. #390C22×C37semidirect
902. #390C22×C37semidirect
903. #389C22×C37semidirect
910. #388C22×C37semidirect
911. #388C22×C37semidirect
912. #388C22×C37semidirect
913. #388C22×C37semidirect
914. #388C22×C37semidirect
915. #388C22×C37semidirect
916. #388C22×C37semidirect
917. #388C22×C37semidirect
918. #388C22×C37semidirect
919. #388C22×C37semidirect
920. #388C22×C37semidirect
921. #388C22×C37semidirect
922. #388C22×C37semidirect
923. #388C22×C37semidirect
924. #388C22×C37semidirect
925. #388C22×C37semidirect
926. #388C22×C37semidirect
927. #388C22×C37semidirect
928. #388C22×C37semidirect
929. #387C22×C37semidirect
930. #387C22×C37semidirect
931. #387C22×C37semidirect
932. #387C22×C37semidirect
933. #387C22×C37semidirect
948. #386C22×C37semidirect
949. #386C22×C37semidirect
950. #386C22×C37semidirect
951. #386C22×C37semidirect
952. #386C22×C37semidirect
953. #386C22×C37semidirect
954. #386C22×C37semidirect
958. #385C22×C37semidirect
959. #385C22×C37semidirect
960. #385C22×C37semidirect
961. #385C22×C37semidirect
962. #385C22×C37semidirect
963. #385C22×C37semidirect
964. #383C22×C37semidirect
965. #383C22×C37semidirect
966. #382C22×C37semidirect
967. #382C22×C37semidirect
970. #381C22×C37semidirect
971. #381C22×C37semidirect
972. #380C22×C37semidirect
973. #380C22×C37semidirect
974. #380C22×C37semidirect
975. #380C22×C37semidirect
976. #380C22×C37semidirect
983. C4×C22⋊C4C22×C37semidirect
984. C2×#95C22×C37semidirect
985. C2×#95C22×C37semidirect
986. C37#36779direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28522
C37×#28502
C37×#27812
C37×#27782
C37×#27652
C37×#27642
C37×#27612
C37×#27562
C37×#27492
C37×#27432
C37×#27412
C37×#27352
C37×#27302
C37×#27022
C37×#26852
C37×#26842
C37×#26232
C37×#26182
C37×#25102
C37×#24882
C37×#24442
C37×#24372
C37×#24252
C37×#24122
C37×#24102
C37×#24052
C37×#23212
C37×#23082
C2×C37×#3882
#3677937