Finite Group Databasebeta

← C37×#34417 #22655670

Subgroups — C37×#34417 #22655670

Order 9472.

2202 conjugacy classes of subgroups.

The subgroup lattice has 1464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C37×#539C211yesmaximal, characteristic
2C37×#2383C211yesmaximal, characteristic, complemented
3C37×#2382C211yesmaximal, characteristic, complemented
4C37×#2378C211yesmaximal, characteristic, complemented
5C37×#2376C211yesmaximal, characteristic, complemented
6C37×#2373C211yesmaximal, characteristic, complemented
7C37×#2370C211yesmaximal, characteristic, complemented
8C37×#2368C211yesmaximal, characteristic, complemented
9C37×#2364C211yesmaximal, characteristic
10C37×#2361C211yesmaximal, characteristic
11C37×#2360C211yesmaximal, characteristic, complemented
12C37×#2360C211yesmaximal, characteristic, complemented
13C37×#2359C211yesmaximal, characteristic, complemented
14C37×#2353C211yesmaximal, characteristic, complemented
15C37×#2352C211yesmaximal, characteristic, complemented
16C37×#2349C211yesmaximal, characteristic, complemented
17D4×C4⋊C4×C37C211yesmaximal, characteristic, complemented
18C37×#2336C211yesmaximal, characteristic, complemented
19C37×#2335C211yesmaximal, characteristic, complemented
20C37×#2334C211yesmaximal, characteristic, complemented
21C37×#2334C211yesmaximal, characteristic, complemented
22C37×#2330C211yesmaximal, characteristic, complemented
23C37×#2329C211yesmaximal, characteristic, complemented
24C37×#2323C211yesmaximal, characteristic, complemented
25C37×#2322C211yesmaximal, characteristic, complemented
26C37×#2322C211yesmaximal, characteristic, complemented
27C37×#2322C211yesmaximal, characteristic, complemented
28C37×#2313C211yesmaximal, characteristic, complemented
29C4×#123×C37C211yesmaximal, characteristic, complemented
30C4×#123×C37C211yesmaximal, characteristic, complemented
31C2×C37×#389C211yesmaximal, characteristic, complemented
32C37×#539C4116yescomplemented
33C2×#126×C37C2211yescharacteristic
34C2×#126×C37C2211yescharacteristic
35C2×#125×C37C2211yescharacteristic
36C2×#125×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×#123×C37C2211yescharacteristic
40C2×#123×C37C2211yescharacteristic
41C2×C22⋊Q8×C37C2211yescharacteristic
42C2×C22⋊Q8×C37C2211yescharacteristic
43C2×C22⋊Q8×C37C2211yescharacteristic
44C2×#121×C37C2211yescharacteristic
45C2×C4×Q8×C37C2211yescharacteristic
46C2×C4×D4×C37C2211yescharacteristic
47C2×C4×D4×C37C2211yescharacteristic
48C2×C4×D4×C37C2211yescharacteristic
49C2×C4×D4×C37C2211yescharacteristic
50C2×C4×D4×C37C2211yescharacteristic
51C2×C4×D4×C37C2211yescharacteristic
52C2×C4×D4×C37C2211yescharacteristic
53C2×#117×C37C2211yescharacteristic
54C22×C4⋊C4×C37C2211yescharacteristic
55C22×C4⋊C4×C37C2211yescharacteristic
56C22×C4⋊C4×C37C2211yescharacteristic
57C22×C4⋊C4×C37C2211yescharacteristic
58C22×C4⋊C4×C37C2211yescharacteristic
59C22×C42×C37C2211yescharacteristic
60C37×#391C2211yescharacteristic
61C37×#391C2211yescharacteristic
62C37×#391C2211yescharacteristic
63C37×#390C2211yescharacteristic
64C37×#389C2211yescharacteristic
65C37×#389C2211yescharacteristic
66C37×#389C2211yescharacteristic
67C37×#389C2211yescharacteristic
68C37×#389C2211yescharacteristic
69C37×#389C2211yescharacteristic
70C37×#389C2211yescharacteristic
71C37×#389C2211yescharacteristic
72C37×#389C2211yescharacteristic
73C37×#389C2211yescharacteristic
74C37×#389C2211yescharacteristic
75C37×#389C2211yescharacteristic
76C37×#389C2211yescharacteristic
77C37×#389C2211yescharacteristic
78C37×#389C2211yescharacteristic
79C37×#389C2211yescharacteristic
80C37×#389C2211yescharacteristic
81C37×#389C2211yescharacteristic
82C37×#389C2211yescharacteristic
83C37×#389C2211yescharacteristic
84C37×#388C2211yescharacteristic
85C37×#388C2211yescharacteristic
86C37×#388C2211yescharacteristic
87C37×#388C2211yescharacteristic
88C37×#388C2211yescharacteristic
89C37×#388C2211yescharacteristic
90C37×#388C2211yescharacteristic
91C37×#388C2211yescharacteristic
92C37×#388C2211yescharacteristic
93C37×#388C2211yescharacteristic
94C37×#388C2211yescharacteristic
95C37×#388C2211yescharacteristic
96C37×#388C2211yescharacteristic
97C37×#388C2211yescharacteristic
98C37×#388C2211yescharacteristic
99C37×#388C2211yescharacteristic
100C37×#387C2211yescharacteristic
101C37×#387C2211yescharacteristic
102C37×#387C2211yescharacteristic
103C37×#387C2211yescharacteristic
104C37×#387C2211yescharacteristic
105C37×#387C2211yescharacteristic
106C37×#387C2211yescharacteristic
107C37×#387C2211yescharacteristic
108C37×#387C2211yescharacteristic
109C37×#387C2211yescharacteristic
110C37×#387C2211yescharacteristic
111C37×#387C2211yescharacteristic
112C37×#387C2211yescharacteristic
113C37×#387C2211yescharacteristic
114C37×#387C2211yescharacteristic
115C37×#387C2211yescharacteristic
116C37×#387C2211yescharacteristic
117C37×#387C2211yescharacteristic
118C37×#387C2211yescharacteristic
119C37×#387C2211yescharacteristic
120C37×#387C2211yescharacteristic
121C37×#387C2211yescharacteristic
122C37×#387C2211yescharacteristic
123C37×#387C2211yescharacteristic
124C37×#387C2211yescharacteristic
125C37×#387C2211yescharacteristic
126C37×#387C2211yescharacteristic
127C37×#387C2211yescharacteristic
128C37×#386C2211yescharacteristic
129C37×#386C2211yescharacteristic
130C37×#386C2211yescharacteristic
131C37×#386C2211yescharacteristic
132C37×#386C2211yescharacteristic
133C37×#386C2211yescharacteristic
134C37×#385C2211yescharacteristic
135C37×#385C2211yescharacteristic
136C37×#385C2211yescharacteristic
137C37×#385C2211yescharacteristic
138C37×#385C2211yescharacteristic
139C37×#385C2211yescharacteristic
140C37×#385C2211yescharacteristic
141C37×#385C2211yescharacteristic
142C37×#385C2211yescharacteristic
143C37×#385C2211yescharacteristic
144C37×#385C2211yescharacteristic
145C37×#385C2211yescharacteristic
146C37×#385C2211yescharacteristic
147C37×#385C2211yescharacteristic
148C37×#384C2211yescharacteristic
149C37×#383C2211yescharacteristic
150C37×#382C2211yescharacteristic
151C37×#382C2211yescharacteristic
152C37×#381C2211yescharacteristic
153C37×#381C2211yescharacteristic
154C37×#381C2211yescharacteristic
155C37×#380C2211yescharacteristic
156C37×#380C2211yescharacteristic
157C37×#380C2211yescharacteristic
158C37×#380C2211yescharacteristic
159C37×#380C2211yescharacteristic
160C4×C4⋊C4×C37C2211yescharacteristic
161C4×C4⋊C4×C37C2211yescharacteristic
162C4×C4⋊C4×C37C2211yescharacteristic
163C4×C4⋊C4×C37C2211yescharacteristic
164C4×C4⋊C4×C37C2211yescharacteristic
165C4×C4⋊C4×C37C2211yescharacteristic
166C4×C4⋊C4×C37C2211yescharacteristic
167C4×C4⋊C4×C37C2211yescharacteristic
168C4×C4⋊C4×C37C2211yescharacteristic
169C4×C4⋊C4×C37C2211yescharacteristic
170C4×C4⋊C4×C37C2211yescharacteristic
171C4×C22⋊C4×C37C2211yescharacteristic
172C4×C22⋊C4×C37C2211yescharacteristic
173C4×C22⋊C4×C37C2211yescharacteristic
174C4×C22⋊C4×C37C2211yescharacteristic
175C4×C22⋊C4×C37C2211yescharacteristic
176C4×C22⋊C4×C37C2211yescharacteristic
177C4×C22⋊C4×C37C2211yescharacteristic
178C4×C22⋊C4×C37C2211yescharacteristic
179C4×C22⋊C4×C37C2211yescharacteristic
180C4×C22⋊C4×C37C2211yescharacteristic
181C4×C22⋊C4×C37C2211yescharacteristic
182C4×C22⋊C4×C37C2211yescharacteristic
183C4×C22⋊C4×C37C2211yescharacteristic
184C37×#376C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C2×#95×C37C2211yescharacteristic
187C2×#95×C37C2211yescharacteristic
188C22×Q8×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C23×C4×C37C2311yescharacteristic
193C23×C4×C37C2311yescharacteristic
194C23×C4×C37C2311yescharacteristic
195C23×C4×C37C2311yescharacteristic
196C23×C4×C37C2311yescharacteristic
197C23×C4×C37C2311yescharacteristic
198C23×C4×C37C2311yescharacteristic
199C23×C4×C37C2311yescharacteristic
200C23×C4×C37C2311yescharacteristic
201C23×C4×C37C2311yescharacteristic
202C23×C4×C37C2311yescharacteristic
203C23×C4×C37C2311yescharacteristic
204C23×C4×C37C2311yescharacteristic
205#126×C37C2×C418yescomplemented
206#126×C37C2×C418yescomplemented
207#125×C37C2×C418yescomplemented
208#125×C37C2×C418yescomplemented
209#123×C37C2×C418yescomplemented
210#123×C37C2×C418yescomplemented
211#123×C37C2×C418yescomplemented
212#123×C37C2×C418yescomplemented
213C22⋊Q8×C37C2×C418yescomplemented
214C22⋊Q8×C37C2×C418yescomplemented
215C22⋊Q8×C37C2×C418yescomplemented
216#121×C37C2×C418yes—
217C4×Q8×C37—42no—
218C4×D4×C37—42no—
219C4×D4×C37—42no—
220C4×D4×C37—42no—
221C4×D4×C37—42no—
222C4×D4×C37—42no—
223C4×D4×C37C2×C418yescomplemented
224C4×D4×C37C2×C418yescomplemented
225#117×C37—42no—
226C2×C4⋊C4×C37—42no—
227C2×C4⋊C4×C37—42no—
228C2×C4⋊C4×C37—42no—
229C2×C4⋊C4×C37—42no—
230C2×C4⋊C4×C37C2×C418yescomplemented
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×C4⋊C4×C37C2311yescharacteristic
252C2×C4⋊C4×C37C2311yescharacteristic
253C2×C4⋊C4×C37C2311yescharacteristic
254C2×C4⋊C4×C37C2311yescharacteristic
255C2×C4⋊C4×C37C2311yescharacteristic
256C2×C4⋊C4×C37C2311yescharacteristic
257C2×C4⋊C4×C37C2311yescharacteristic
258C2×C4⋊C4×C37C2311yescharacteristic
259C2×C4⋊C4×C37C2311yescharacteristic
260C2×C4⋊C4×C37C2311yescharacteristic
261C2×C4⋊C4×C37C2311yescharacteristic
262C2×C4⋊C4×C37C2311yescharacteristic
263C2×C4⋊C4×C37C2311yescharacteristic
264C2×C4⋊C4×C37C2311yescharacteristic
265C2×C4⋊C4×C37C2311yescharacteristic
266C2×C4⋊C4×C37C2311yescharacteristic
267C2×C4⋊C4×C37C2311yescharacteristic
268C2×C4⋊C4×C37C2311yescharacteristic
269C2×C4⋊C4×C37C2311yescharacteristic
270C2×C4⋊C4×C37C2311yescharacteristic
271C2×C4⋊C4×C37C2311yescharacteristic
272C2×C4⋊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×C42×C37—42no—
300C2×C42×C37C2311yescharacteristic
301C2×C42×C37C2311yescharacteristic
302C2×C42×C37C2311yescharacteristic
303C2×C42×C37C2311yescharacteristic
304C2×C42×C37C2311yescharacteristic
305C2×C42×C37C2311yescharacteristic
306C2×C42×C37C2311yescharacteristic
307C2×C42×C37C2311yescharacteristic
308C2×C42×C37C2311yescharacteristic
309C2×C42×C37C2311yescharacteristic
310C2×C42×C37C2311yescharacteristic
311C2×C42×C37C2311yescharacteristic
312C2×C42×C37C2311yescharacteristic
313C2×C42×C37C2311yescharacteristic
314C2×C42×C37C2311yescharacteristic
315C2×C42×C37C2311yescharacteristic
316C2×C42×C37C2311yescharacteristic
317C2×C42×C37C2311yescharacteristic
318C2×C42×C37C2311yescharacteristic
319C2×C42×C37C2311yescharacteristic
320C2×C42×C37C2311yescharacteristic
321C2×C42×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
363#95×C37C2311yescharacteristic
364#95×C37C2311yescharacteristic
365#95×C37C2311yescharacteristic
366#95×C37C2311yescharacteristic
367#95×C37C2311yescharacteristic
368#95×C37C2311yescharacteristic
369#95×C37C2311yescharacteristic
370C24×C37C2411yescharacteristic
371C24×C37C2411yescharacteristic
372C24×C37C2411yescharacteristic
373C2×Q8×C37—41no—
374C2×Q8×C37—41no—
375C2×Q8×C37C22×C414yes—
376C2×D4×C37—22no—
377C2×D4×C37—22no—
378C2×D4×C37—22no—
379C2×D4×C37—22no—
380C2×D4×C37—41no—
381C2×D4×C37—41no—
382C2×D4×C37C22×C414yes—
383C2×D4×C37C22×C414yes—
384C2×D4×C37C22×C414yes—
385C22×C4×C37—22no—
386C22×C4×C37—22no—
387C22×C4×C37—22no—
388C22×C4×C37—22no—
389C22×C4×C37—22no—
390C22×C4×C37—22no—
391C22×C4×C37—22no—
392C22×C4×C37—22no—
393C22×C4×C37—22no—
394C22×C4×C37—22no—
395C22×C4×C37—41no—
396C22×C4×C37—41no—
397C22×C4×C37—41no—
398C22×C4×C37—41no—
399C22×C4×C37—41no—
400C22×C4×C37—41no—
401C22×C4×C37—41no—
402C22×C4×C37—41no—
403C22×C4×C37—41no—
404C22×C4×C37—41no—
405C22×C4×C37—41no—
406C22×C4×C37—41no—
407C22×C4×C37—41no—
408C22×C4×C37—41no—
409C22×C4×C37—41no—
410C22×C4×C37—41no—
411C22×C4×C37—41no—
412C22×C4×C37—41no—
413C22×C4×C37—41no—
414C22×C4×C37—41no—
415C22×C4×C37—41no—
416C22×C4×C37—41no—
417C22×C4×C37—41no—
418C22×C4×C37—41no—
419C22×C4×C37C22×C414yes—
420C22×C4×C37C22×C414yes—
421C22×C4×C37C22×C414yes—
422C22×C4×C37C22×C414yes—
423C22×C4×C37C22×C414yes—
424C22×C4×C37C2411yescharacteristic
425C22×C4×C37C2411yescharacteristic
426C22×C4×C37C2411yescharacteristic
427C22×C4×C37C2411yescharacteristic
428C22×C4×C37C2411yescharacteristic
429C22×C4×C37C2411yescharacteristic
430C22×C4×C37C2411yescharacteristic
431C22×C4×C37C2411yescharacteristic
432C22×C4×C37C2411yescharacteristic
433C22×C4×C37C2411yescharacteristic
434C22×C4×C37C2411yescharacteristic
435C22×C4×C37C2411yescharacteristic
436C22×C4×C37C2411yescharacteristic
437C22×C4×C37C2411yescharacteristic
438C22×C4×C37C2411yescharacteristic
439C22×C4×C37C2411yescharacteristic
440C22×C4×C37C2411yescharacteristic
441C22×C4×C37C2411yescharacteristic
442C22×C4×C37C2411yescharacteristic
443C22×C4×C37C2411yescharacteristic
444C22×C4×C37C2411yescharacteristic
445C22×C4×C37C2411yescharacteristic
446C22×C4×C37C2411yescharacteristic
447C22×C4×C37C2411yescharacteristic
448C22×C4×C37C2411yescharacteristic
449C22×C4×C37C2411yescharacteristic
450C22×C4×C37C2411yescharacteristic
451C22×C4×C37C2411yescharacteristic
452C4⋊C4×C37—22no—
453C4⋊C4×C37—22no—
454C4⋊C4×C37—22no—
455C4⋊C4×C37—22no—
456C4⋊C4×C37—22no—
457C4⋊C4×C37—22no—
458C4⋊C4×C37—41no—
459C4⋊C4×C37—41no—
460C4⋊C4×C37—41no—
461C4⋊C4×C37—41no—
462C4⋊C4×C37—41no—
463C4⋊C4×C37—41no—
464C4⋊C4×C37—41no—
465C4⋊C4×C37—41no—
466C4⋊C4×C37—41no—
467C4⋊C4×C37—41no—
468C4⋊C4×C37—41no—
469C4⋊C4×C37—41no—
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×C37C22×C414yes—
481C4⋊C4×C37C22×C414yes—
482C4⋊C4×C37C22×C414yes—
483C4⋊C4×C37C22×C414yes—
484C4⋊C4×C37C22×C414yes—
485C4⋊C4×C37C22×C414yes—
486C4⋊C4×C37C22×C414yes—
487C4⋊C4×C37C22×C414yes—
488C4⋊C4×C37C22×C414yes—
489C4⋊C4×C37C22×C414yes—
490C4⋊C4×C37C22×C414yes—
491C4⋊C4×C37C22×C414yes—
492C4⋊C4×C37C22×C414yes—
493C4⋊C4×C37C22×C414yes—
494C22⋊C4×C37—22no—
495C22⋊C4×C37—22no—
496C22⋊C4×C37—22no—
497C22⋊C4×C37—22no—
498C22⋊C4×C37—22no—
499C22⋊C4×C37—22no—
500C22⋊C4×C37—41no—
501C22⋊C4×C37—41no—
502C22⋊C4×C37—41no—
503C22⋊C4×C37—41no—
504C22⋊C4×C37—41no—
505C22⋊C4×C37—41no—
506C22⋊C4×C37—41no—
507C22⋊C4×C37—41no—
508C22⋊C4×C37—41no—
509C22⋊C4×C37—41no—
510C22⋊C4×C37C22×C414yes—
511C22⋊C4×C37C22×C414yes—
512C22⋊C4×C37C22×C414yes—
513C22⋊C4×C37C22×C414yes—
514C22⋊C4×C37C22×C414yes—
515C22⋊C4×C37C22×C414yes—
516C22⋊C4×C37C22×C414yes—
517C22⋊C4×C37C22×C414yes—
518C22⋊C4×C37C22×C414yes—
519C22⋊C4×C37C22×C414yes—
520C42×C37—22no—
521C42×C37—22no—
522C42×C37—41no—
523C42×C37—41no—
524C42×C37—41no—
525C42×C37—41no—
526C42×C37—41no—
527C42×C37—41no—
528C42×C37—41no—
529C42×C37—41no—
530C42×C37—41no—
531C42×C37—41no—
532C42×C37—41no—
533C42×C37—41no—
534C42×C37—41no—
535C42×C37—41no—
536C42×C37—41no—
537C42×C37—41no—
538C42×C37—41no—
539C42×C37—41no—
540C42×C37C22×C414yes—
541C42×C37C22×C414yes—
542C23×C37—21no—
543C23×C37—21no—
544C23×C37—21no—
545C23×C37—21no—
546C23×C37—21no—
547C23×C37—21no—
548C23×C37—21no—
549C23×C37—21no—
550C23×C37—21no—
551C23×C37—21no—
552C23×C37—21no—
553C23×C37—21no—
554C23×C37—21no—
555C23×C37—21no—
556C23×C37—21no—
557C23×C37—21no—
558C23×C37C23×C412yes—
559C23×C37C23×C412yes—
560C23×C37C23×C412yes—
561C23×C37H(5,𝔽2)12yes—
562C23×C372−1+412yes—
563C23×C37C2511yescharacteristic
564Q8×C37—44no—
565D4×C37—28no—
566D4×C37—28no—
567D4×C37—44no—
568C2×C4×C37—28no—
569C2×C4×C37—21no—
570C2×C4×C37—21no—
571C2×C4×C37—21no—
572C2×C4×C37—21no—
573C2×C4×C37—21no—
574C2×C4×C37—21no—
575C2×C4×C37—21no—
576C2×C4×C37—21no—
577C2×C4×C37—21no—
578C2×C4×C37—21no—
579C2×C4×C37—21no—
580C2×C4×C37—21no—
581C2×C4×C37—21no—
582C2×C4×C37—21no—
583C2×C4×C37—21no—
584C2×C4×C37—21no—
585C2×C4×C37—21no—
586C2×C4×C37—21no—
587C2×C4×C37—21no—
588C2×C4×C37—21no—
589C2×C4×C37—21no—
590C2×C4×C37—21no—
591C2×C4×C37—21no—
592C2×C4×C37—21no—
593C2×C4×C37—21no—
594C2×C4×C37—21no—
595C2×C4×C37—21no—
596C2×C4×C37—21no—
597C2×C4×C37—21no—
598C2×C4×C37—21no—
599C2×C4×C37—21no—
600C2×C4×C37—21no—
601C2×C4×C37—21no—
602C2×C4×C37—21no—
603C2×C4×C37—21no—
604C2×C4×C37—21no—
605C2×C4×C37—21no—
606C2×C4×C37—21no—
607C2×C4×C37—21no—
608C2×C4×C37—21no—
609C2×C4×C37—21no—
610C2×C4×C37—21no—
611C2×C4×C37—21no—
612C2×C4×C37—21no—
613C2×C4×C37—21no—
614C2×C4×C37—21no—
615C2×C4×C37—21no—
616C2×C4×C37—21no—
617C2×C4×C37—21no—
618C2×C4×C37—21no—
619C2×C4×C37—21no—
620C2×C4×C37—21no—
621C2×C4×C37—21no—
622C2×C4×C37—21no—
623C2×C4×C37—21no—
624C2×C4×C37—21no—
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—44no—
640C2×C4×C37—44no—
641C2×C4×C37—44no—
642C2×C4×C37—44no—
643C2×C4×C37—44no—
644C2×C4×C37—44no—
645C2×C4×C37—82no—
646C2×C4×C37—82no—
647C2×C4×C37—82no—
648C2×C4×C37—82no—
649C2×C4×C37—82no—
650C2×C4×C37—82no—
651C2×C4×C37C23×C412yes—
652C2×C4×C37C23×C412yes—
653C2×C4×C37C23×C412yes—
654C2×C4×C37C23×C412yes—
655C2×C4×C37C23×C412yes—
656C2×C4×C37C23×C412yes—
657C2×C4×C37C23×C412yes—
658C2×C4×C37C23×C412yes—
659C2×C4×C37C23×C412yes—
660C2×C4×C37C23×C412yes—
661C2×C4×C37C23×C412yes—
662C2×C4×C37C23×C412yes—
663C2×C4×C37H(5,𝔽2)12yes—
664C2×C4×C372−1+412yes—
665#34417C3711yesmaximal, characteristic, direct product factor, Sylow
666C22×C37—22no—
667C22×C37—22no—
668C22×C37—22no—
669C22×C37—22no—
670C22×C37—22no—
671C22×C37—22no—
672C22×C37—22no—
673C22×C37—22no—
674C22×C37—22no—
675C22×C37—22no—
676C22×C37—22no—
677C22×C37—22no—
678C22×C37—41no—
679C22×C37—41no—
680C22×C37—41no—
681C22×C37—41no—
682C22×C37—41no—
683C22×C37—41no—
684C22×C37—41no—
685C22×C37—41no—
686C22×C37#52014yes—
687C22×C37C24×C411yescharacteristic
688C22×C37C2×H(5,𝔽2)11yescharacteristic
689C22×C37C2×H(5,𝔽2)11yescharacteristic
690C22×C37C2×2−1+411yescharacteristic
691C22×C37C2×2−1+411yescharacteristic
692C22×C37#58511yescharacteristic
693C22×C37#58511yescharacteristic
694C4×C37—22no—
695C4×C37—22no—
696C4×C37—22no—
697C4×C37—22no—
698C4×C37—22no—
699C4×C37—22no—
700C4×C37—22no—
701C4×C37—22no—
702C4×C37—22no—
703C4×C37—22no—
704C4×C37—22no—
705C4×C37—22no—
706C4×C37—22no—
707C4×C37—22no—
708C4×C37—41no—
709C4×C37—41no—
710C4×C37—41no—
711C4×C37—41no—
712C4×C37—41no—
713C4×C37—41no—
714C4×C37—41no—
715C4×C37—41no—
716C4×C37—41no—
717C4×C37—41no—
718C4×C37—41no—
719C4×C37—41no—
720C4×C37—41no—
721C4×C37—41no—
722C2×#539C2×C3711yescharacteristic
723#2383C2×C3711yescharacteristic, complemented
724#2382C2×C3711yescharacteristic, complemented
725#2378C2×C3711yescharacteristic, complemented
726#2376C2×C3711yescharacteristic, complemented
727#2373C2×C3711yescharacteristic, complemented
728#2370C2×C3711yescharacteristic, complemented
729#2368C2×C3711yescharacteristic, complemented
730#2364C2×C3711yescharacteristic
731#2361C2×C3711yescharacteristic
732#2360C2×C3711yescharacteristic, complemented
733#2360C2×C3711yescharacteristic, complemented
734#2359C2×C3711yescharacteristic, complemented
735#2353C2×C3711yescharacteristic, complemented
736#2352C2×C3711yescharacteristic, complemented
737#2349C2×C3711yescharacteristic, complemented
738D4×C4⋊C4C2×C3711yescharacteristic, complemented
739#2336C2×C3711yescharacteristic, complemented
740#2335C2×C3711yescharacteristic, complemented
741#2334C2×C3711yescharacteristic, complemented
742#2334C2×C3711yescharacteristic, complemented
743#2330C2×C3711yescharacteristic, complemented
744#2329C2×C3711yescharacteristic, complemented
745#2323C2×C3711yescharacteristic, complemented
746#2322C2×C3711yescharacteristic, complemented
747#2322C2×C3711yescharacteristic, complemented
748#2322C2×C3711yescharacteristic, complemented
749#2313C2×C3711yescharacteristic, complemented
750C4×#123C2×C3711yescharacteristic, complemented
751C4×#123C2×C3711yescharacteristic, complemented
752C2×#389C2×C3711yescharacteristic, complemented
753C2×C37—24no—
754C2×C37—42no—
755C2×C37—42no—
756C2×C37C2×#52011yescharacteristic
757C2×C37C4×H(5,𝔽2)11yescharacteristic
758C2×C37C4×2−1+411yescharacteristic
759C2×C37#353411yescharacteristic
760C2×C37#353511yescharacteristic
761C2×C37#355211yescharacteristic
762C2×C37#355311yescharacteristic
763#539C4×C37116yescomplemented
764C2×#126C22×C3711yescharacteristic
765C2×#126C22×C3711yescharacteristic
766C2×#125C22×C3711yescharacteristic
767C2×#125C22×C3711yescharacteristic
768C2×#123C22×C3711yescharacteristic
769C2×#123C22×C3711yescharacteristic
770C2×#123C22×C3711yescharacteristic
771C2×#123C22×C3711yescharacteristic
772C2×C22⋊Q8C22×C3711yescharacteristic
773C2×C22⋊Q8C22×C3711yescharacteristic
774C2×C22⋊Q8C22×C3711yescharacteristic
775C2×#121C22×C3711yescharacteristic
776C2×C4×Q8C22×C3711yescharacteristic
777C2×C4×D4C22×C3711yescharacteristic
778C2×C4×D4C22×C3711yescharacteristic
779C2×C4×D4C22×C3711yescharacteristic
780C2×C4×D4C22×C3711yescharacteristic
781C2×C4×D4C22×C3711yescharacteristic
782C2×C4×D4C22×C3711yescharacteristic
783C2×C4×D4C22×C3711yescharacteristic
784C2×#117C22×C3711yescharacteristic
785C22×C4⋊C4C22×C3711yescharacteristic
786C22×C4⋊C4C22×C3711yescharacteristic
787C22×C4⋊C4C22×C3711yescharacteristic
788C22×C4⋊C4C22×C3711yescharacteristic
789C22×C4⋊C4C22×C3711yescharacteristic
790C22×C42C22×C3711yescharacteristic
791#391C22×C3711yescharacteristic
792#391C22×C3711yescharacteristic
793#391C22×C3711yescharacteristic
794#390C22×C3711yescharacteristic
795#389C22×C3711yescharacteristic
796#389C22×C3711yescharacteristic
797#389C22×C3711yescharacteristic
798#389C22×C3711yescharacteristic
799#389C22×C3711yescharacteristic
800#389C22×C3711yescharacteristic
801#389C22×C3711yescharacteristic
802#389C22×C3711yescharacteristic
803#389C22×C3711yescharacteristic
804#389C22×C3711yescharacteristic
805#389C22×C3711yescharacteristic
806#389C22×C3711yescharacteristic
807#389C22×C3711yescharacteristic
808#389C22×C3711yescharacteristic
809#389C22×C3711yescharacteristic
810#389C22×C3711yescharacteristic
811#389C22×C3711yescharacteristic
812#389C22×C3711yescharacteristic
813#389C22×C3711yescharacteristic
814#389C22×C3711yescharacteristic
815#388C22×C3711yescharacteristic
816#388C22×C3711yescharacteristic
817#388C22×C3711yescharacteristic
818#388C22×C3711yescharacteristic
819#388C22×C3711yescharacteristic
820#388C22×C3711yescharacteristic
821#388C22×C3711yescharacteristic
822#388C22×C3711yescharacteristic
823#388C22×C3711yescharacteristic
824#388C22×C3711yescharacteristic
825#388C22×C3711yescharacteristic
826#388C22×C3711yescharacteristic
827#388C22×C3711yescharacteristic
828#388C22×C3711yescharacteristic
829#388C22×C3711yescharacteristic
830#388C22×C3711yescharacteristic
831#387C22×C3711yescharacteristic
832#387C22×C3711yescharacteristic
833#387C22×C3711yescharacteristic
834#387C22×C3711yescharacteristic
835#387C22×C3711yescharacteristic
836#387C22×C3711yescharacteristic
837#387C22×C3711yescharacteristic
838#387C22×C3711yescharacteristic
839#387C22×C3711yescharacteristic
840#387C22×C3711yescharacteristic
841#387C22×C3711yescharacteristic
842#387C22×C3711yescharacteristic
843#387C22×C3711yescharacteristic
844#387C22×C3711yescharacteristic
845#387C22×C3711yescharacteristic
846#387C22×C3711yescharacteristic
847#387C22×C3711yescharacteristic
848#387C22×C3711yescharacteristic
849#387C22×C3711yescharacteristic
850#387C22×C3711yescharacteristic
851#387C22×C3711yescharacteristic
852#387C22×C3711yescharacteristic
853#387C22×C3711yescharacteristic
854#387C22×C3711yescharacteristic
855#387C22×C3711yescharacteristic
856#387C22×C3711yescharacteristic
857#387C22×C3711yescharacteristic
858#387C22×C3711yescharacteristic
859#386C22×C3711yescharacteristic
860#386C22×C3711yescharacteristic
861#386C22×C3711yescharacteristic
862#386C22×C3711yescharacteristic
863#386C22×C3711yescharacteristic
864#386C22×C3711yescharacteristic
865#385C22×C3711yescharacteristic
866#385C22×C3711yescharacteristic
867#385C22×C3711yescharacteristic
868#385C22×C3711yescharacteristic
869#385C22×C3711yescharacteristic
870#385C22×C3711yescharacteristic
871#385C22×C3711yescharacteristic
872#385C22×C3711yescharacteristic
873#385C22×C3711yescharacteristic
874#385C22×C3711yescharacteristic
875#385C22×C3711yescharacteristic
876#385C22×C3711yescharacteristic
877#385C22×C3711yescharacteristic
878#385C22×C3711yescharacteristic
879#384C22×C3711yescharacteristic
880#383C22×C3711yescharacteristic
881#382C22×C3711yescharacteristic
882#382C22×C3711yescharacteristic
883#381C22×C3711yescharacteristic
884#381C22×C3711yescharacteristic
885#381C22×C3711yescharacteristic
886#380C22×C3711yescharacteristic
887#380C22×C3711yescharacteristic
888#380C22×C3711yescharacteristic
889#380C22×C3711yescharacteristic
890#380C22×C3711yescharacteristic
891C4×C4⋊C4C22×C3711yescharacteristic
892C4×C4⋊C4C22×C3711yescharacteristic
893C4×C4⋊C4C22×C3711yescharacteristic
894C4×C4⋊C4C22×C3711yescharacteristic
895C4×C4⋊C4C22×C3711yescharacteristic
896C4×C4⋊C4C22×C3711yescharacteristic
897C4×C4⋊C4C22×C3711yescharacteristic
898C4×C4⋊C4C22×C3711yescharacteristic
899C4×C4⋊C4C22×C3711yescharacteristic
900C4×C4⋊C4C22×C3711yescharacteristic
901C4×C4⋊C4C22×C3711yescharacteristic
902C4×C22⋊C4C22×C3711yescharacteristic
903C4×C22⋊C4C22×C3711yescharacteristic
904C4×C22⋊C4C22×C3711yescharacteristic
905C4×C22⋊C4C22×C3711yescharacteristic
906C4×C22⋊C4C22×C3711yescharacteristic
907C4×C22⋊C4C22×C3711yescharacteristic
908C4×C22⋊C4C22×C3711yescharacteristic
909C4×C22⋊C4C22×C3711yescharacteristic
910C4×C22⋊C4C22×C3711yescharacteristic
911C4×C22⋊C4C22×C3711yescharacteristic
912C4×C22⋊C4C22×C3711yescharacteristic
913C4×C22⋊C4C22×C3711yescharacteristic
914C4×C22⋊C4C22×C3711yescharacteristic
915#376C22×C3711yescharacteristic
916C2×#95C22×C3711yescharacteristic
917C2×#95C22×C3711yescharacteristic
918C2×#95C22×C3711yescharacteristic
919C37#3441711yescharacteristic, direct product factor, Sylow
920C22×Q8C23×C3711yescharacteristic
921C22×D4C23×C3711yescharacteristic
922C22×D4C23×C3711yescharacteristic
923C22×D4C23×C3711yescharacteristic
924C23×C4C23×C3711yescharacteristic
925C23×C4C23×C3711yescharacteristic
926C23×C4C23×C3711yescharacteristic
927C23×C4C23×C3711yescharacteristic
928C23×C4C23×C3711yescharacteristic
929C23×C4C23×C3711yescharacteristic
930C23×C4C23×C3711yescharacteristic
931C23×C4C23×C3711yescharacteristic
932C23×C4C23×C3711yescharacteristic
933C23×C4C23×C3711yescharacteristic
934C23×C4C23×C3711yescharacteristic
935C23×C4C23×C3711yescharacteristic
936C23×C4C23×C3711yescharacteristic
937#126C2×C4×C3718yescomplemented
938#126C2×C4×C3718yescomplemented
939#125C2×C4×C3718yescomplemented
940#125C2×C4×C3718yescomplemented
941#123C2×C4×C3718yescomplemented
942#123C2×C4×C3718yescomplemented
943#123C2×C4×C3718yescomplemented
944#123C2×C4×C3718yescomplemented
945C22⋊Q8C2×C4×C3718yescomplemented
946C22⋊Q8C2×C4×C3718yescomplemented
947C22⋊Q8C2×C4×C3718yescomplemented
948#121C2×C4×C3718yes—
949C4×Q8—42no—
950C4×D4—42no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—42no—
954C4×D4—42no—
955C4×D4C2×C4×C3718yescomplemented
956C4×D4C2×C4×C3718yescomplemented
957#117—42no—
958C2×C4⋊C4—42no—
959C2×C4⋊C4—42no—
960C2×C4⋊C4—42no—
961C2×C4⋊C4—42no—
962C2×C4⋊C4C2×C4×C3718yescomplemented
963C2×C4⋊C4C23×C3711yescharacteristic
964C2×C4⋊C4C23×C3711yescharacteristic
965C2×C4⋊C4C23×C3711yescharacteristic
966C2×C4⋊C4C23×C3711yescharacteristic
967C2×C4⋊C4C23×C3711yescharacteristic
968C2×C4⋊C4C23×C3711yescharacteristic
969C2×C4⋊C4C23×C3711yescharacteristic
970C2×C4⋊C4C23×C3711yescharacteristic
971C2×C4⋊C4C23×C3711yescharacteristic
972C2×C4⋊C4C23×C3711yescharacteristic
973C2×C4⋊C4C23×C3711yescharacteristic
974C2×C4⋊C4C23×C3711yescharacteristic
975C2×C4⋊C4C23×C3711yescharacteristic
976C2×C4⋊C4C23×C3711yescharacteristic
977C2×C4⋊C4C23×C3711yescharacteristic
978C2×C4⋊C4C23×C3711yescharacteristic
979C2×C4⋊C4C23×C3711yescharacteristic
980C2×C4⋊C4C23×C3711yescharacteristic
981C2×C4⋊C4C23×C3711yescharacteristic
982C2×C4⋊C4C23×C3711yescharacteristic
983C2×C4⋊C4C23×C3711yescharacteristic
984C2×C4⋊C4C23×C3711yescharacteristic
985C2×C4⋊C4C23×C3711yescharacteristic
986C2×C4⋊C4C23×C3711yescharacteristic
987C2×C4⋊C4C23×C3711yescharacteristic
988C2×C4⋊C4C23×C3711yescharacteristic
989C2×C4⋊C4C23×C3711yescharacteristic
990C2×C4⋊C4C23×C3711yescharacteristic
991C2×C4⋊C4C23×C3711yescharacteristic
992C2×C4⋊C4C23×C3711yescharacteristic
993C2×C4⋊C4C23×C3711yescharacteristic
994C2×C4⋊C4C23×C3711yescharacteristic
995C2×C4⋊C4C23×C3711yescharacteristic
996C2×C4⋊C4C23×C3711yescharacteristic
997C2×C4⋊C4C23×C3711yescharacteristic
998C2×C4⋊C4C23×C3711yescharacteristic
999C2×C4⋊C4C23×C3711yescharacteristic
1000C2×C4⋊C4C23×C3711yescharacteristic
1001C2×C4⋊C4C23×C3711yescharacteristic
1002C2×C4⋊C4C23×C3711yescharacteristic
1003C2×C4⋊C4C23×C3711yescharacteristic
1004C2×C4⋊C4C23×C3711yescharacteristic
1005C2×C22⋊C4C23×C3711yescharacteristic
1006C2×C22⋊C4C23×C3711yescharacteristic
1007C2×C22⋊C4C23×C3711yescharacteristic
1008C2×C22⋊C4C23×C3711yescharacteristic
1009C2×C22⋊C4C23×C3711yescharacteristic
1010C2×C22⋊C4C23×C3711yescharacteristic
1011C2×C22⋊C4C23×C3711yescharacteristic
1012C2×C22⋊C4C23×C3711yescharacteristic
1013C2×C22⋊C4C23×C3711yescharacteristic
1014C2×C22⋊C4C23×C3711yescharacteristic
1015C2×C22⋊C4C23×C3711yescharacteristic
1016C2×C22⋊C4C23×C3711yescharacteristic
1017C2×C22⋊C4C23×C3711yescharacteristic
1018C2×C22⋊C4C23×C3711yescharacteristic
1019C2×C22⋊C4C23×C3711yescharacteristic
1020C2×C22⋊C4C23×C3711yescharacteristic
1021C2×C22⋊C4C23×C3711yescharacteristic
1022C2×C22⋊C4C23×C3711yescharacteristic
1023C2×C22⋊C4C23×C3711yescharacteristic
1024C2×C22⋊C4C23×C3711yescharacteristic
1025C2×C22⋊C4C23×C3711yescharacteristic
1026C2×C22⋊C4C23×C3711yescharacteristic
1027C2×C22⋊C4C23×C3711yescharacteristic
1028C2×C22⋊C4C23×C3711yescharacteristic
1029C2×C22⋊C4C23×C3711yescharacteristic
1030C2×C22⋊C4C23×C3711yescharacteristic
1031C2×C42—42no—
1032C2×C42C23×C3711yescharacteristic
1033C2×C42C23×C3711yescharacteristic
1034C2×C42C23×C3711yescharacteristic
1035C2×C42C23×C3711yescharacteristic
1036C2×C42C23×C3711yescharacteristic
1037C2×C42C23×C3711yescharacteristic
1038C2×C42C23×C3711yescharacteristic
1039C2×C42C23×C3711yescharacteristic
1040C2×C42C23×C3711yescharacteristic
1041C2×C42C23×C3711yescharacteristic
1042C2×C42C23×C3711yescharacteristic
1043C2×C42C23×C3711yescharacteristic
1044C2×C42C23×C3711yescharacteristic
1045C2×C42C23×C3711yescharacteristic
1046C2×C42C23×C3711yescharacteristic
1047C2×C42C23×C3711yescharacteristic
1048C2×C42C23×C3711yescharacteristic
1049C2×C42C23×C3711yescharacteristic
1050C2×C42C23×C3711yescharacteristic
1051C2×C42C23×C3711yescharacteristic
1052C2×C42C23×C3711yescharacteristic
1053C2×C42C23×C3711yescharacteristic
1054#95C23×C3711yescharacteristic
1055#95C23×C3711yescharacteristic
1056#95C23×C3711yescharacteristic
1057#95C23×C3711yescharacteristic
1058#95C23×C3711yescharacteristic
1059#95C23×C3711yescharacteristic
1060#95C23×C3711yescharacteristic
1061#95C23×C3711yescharacteristic
1062#95C23×C3711yescharacteristic
1063#95C23×C3711yescharacteristic
1064#95C23×C3711yescharacteristic
1065#95C23×C3711yescharacteristic
1066#95C23×C3711yescharacteristic
1067#95C23×C3711yescharacteristic
1068#95C23×C3711yescharacteristic
1069#95C23×C3711yescharacteristic
1070#95C23×C3711yescharacteristic
1071#95C23×C3711yescharacteristic
1072#95C23×C3711yescharacteristic
1073#95C23×C3711yescharacteristic
1074#95C23×C3711yescharacteristic
1075#95C23×C3711yescharacteristic
1076#95C23×C3711yescharacteristic
1077#95C23×C3711yescharacteristic
1078#95C23×C3711yescharacteristic
1079#95C23×C3711yescharacteristic
1080#95C23×C3711yescharacteristic
1081#95C23×C3711yescharacteristic
1082#95C23×C3711yescharacteristic
1083#95C23×C3711yescharacteristic
1084#95C23×C3711yescharacteristic
1085#95C23×C3711yescharacteristic
1086#95C23×C3711yescharacteristic
1087#95C23×C3711yescharacteristic
1088#95C23×C3711yescharacteristic
1089#95C23×C3711yescharacteristic
1090#95C23×C3711yescharacteristic
1091#95C23×C3711yescharacteristic
1092#95C23×C3711yescharacteristic
1093#95C23×C3711yescharacteristic
1094#95C23×C3711yescharacteristic
1095#95C23×C3711yescharacteristic
1096#95C23×C3711yescharacteristic
1097#95C23×C3711yescharacteristic
1098#95C23×C3711yescharacteristic
1099#95C23×C3711yescharacteristic
1100#95C23×C3711yescharacteristic
1101#95C23×C3711yescharacteristic
1102C24C24×C3711yescharacteristic
1103C24C24×C3711yescharacteristic
1104C24C24×C3711yescharacteristic
1105C2×Q8—41no—
1106C2×Q8—41no—
1107C2×Q8C22×C4×C3714yes—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4C22×C4×C3714yes—
1115C2×D4C22×C4×C3714yes—
1116C2×D4C22×C4×C3714yes—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4C22×C4×C3714yes—
1152C22×C4C22×C4×C3714yes—
1153C22×C4C22×C4×C3714yes—
1154C22×C4C22×C4×C3714yes—
1155C22×C4C22×C4×C3714yes—
1156C22×C4C24×C3711yescharacteristic
1157C22×C4C24×C3711yescharacteristic
1158C22×C4C24×C3711yescharacteristic
1159C22×C4C24×C3711yescharacteristic
1160C22×C4C24×C3711yescharacteristic
1161C22×C4C24×C3711yescharacteristic
1162C22×C4C24×C3711yescharacteristic
1163C22×C4C24×C3711yescharacteristic
1164C22×C4C24×C3711yescharacteristic
1165C22×C4C24×C3711yescharacteristic
1166C22×C4C24×C3711yescharacteristic
1167C22×C4C24×C3711yescharacteristic
1168C22×C4C24×C3711yescharacteristic
1169C22×C4C24×C3711yescharacteristic
1170C22×C4C24×C3711yescharacteristic
1171C22×C4C24×C3711yescharacteristic
1172C22×C4C24×C3711yescharacteristic
1173C22×C4C24×C3711yescharacteristic
1174C22×C4C24×C3711yescharacteristic
1175C22×C4C24×C3711yescharacteristic
1176C22×C4C24×C3711yescharacteristic
1177C22×C4C24×C3711yescharacteristic
1178C22×C4C24×C3711yescharacteristic
1179C22×C4C24×C3711yescharacteristic
1180C22×C4C24×C3711yescharacteristic
1181C22×C4C24×C3711yescharacteristic
1182C22×C4C24×C3711yescharacteristic
1183C22×C4C24×C3711yescharacteristic
1184C4⋊C4—22no—
1185C4⋊C4—22no—
1186C4⋊C4—22no—
1187C4⋊C4—22no—
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4C22×C4×C3714yes—
1213C4⋊C4C22×C4×C3714yes—
1214C4⋊C4C22×C4×C3714yes—
1215C4⋊C4C22×C4×C3714yes—
1216C4⋊C4C22×C4×C3714yes—
1217C4⋊C4C22×C4×C3714yes—
1218C4⋊C4C22×C4×C3714yes—
1219C4⋊C4C22×C4×C3714yes—
1220C4⋊C4C22×C4×C3714yes—
1221C4⋊C4C22×C4×C3714yes—
1222C4⋊C4C22×C4×C3714yes—
1223C4⋊C4C22×C4×C3714yes—
1224C4⋊C4C22×C4×C3714yes—
1225C4⋊C4C22×C4×C3714yes—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
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⋊C4C22×C4×C3714yes—
1243C22⋊C4C22×C4×C3714yes—
1244C22⋊C4C22×C4×C3714yes—
1245C22⋊C4C22×C4×C3714yes—
1246C22⋊C4C22×C4×C3714yes—
1247C22⋊C4C22×C4×C3714yes—
1248C22⋊C4C22×C4×C3714yes—
1249C22⋊C4C22×C4×C3714yes—
1250C22⋊C4C22×C4×C3714yes—
1251C22⋊C4C22×C4×C3714yes—
1252C42—22no—
1253C42—22no—
1254C42—41no—
1255C42—41no—
1256C42—41no—
1257C42—41no—
1258C42—41no—
1259C42—41no—
1260C42—41no—
1261C42—41no—
1262C42—41no—
1263C42—41no—
1264C42—41no—
1265C42—41no—
1266C42—41no—
1267C42—41no—
1268C42—41no—
1269C42—41no—
1270C42—41no—
1271C42—41no—
1272C42C22×C4×C3714yes—
1273C42C22×C4×C3714yes—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23C23×C4×C3712yes—
1291C23C23×C4×C3712yes—
1292C23C23×C4×C3712yes—
1293C23H(5,𝔽2)×C3712yes—
1294C232−1+4×C3712yes—
1295C23C25×C3711yescharacteristic
1296Q8—44no—
1297D4—28no—
1298D4—28no—
1299D4—44no—
1300C2×C4—28no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—44no—
1372C2×C4—44no—
1373C2×C4—44no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—44no—
1377C2×C4—82no—
1378C2×C4—82no—
1379C2×C4—82no—
1380C2×C4—82no—
1381C2×C4—82no—
1382C2×C4—82no—
1383C2×C4C23×C4×C3712yes—
1384C2×C4C23×C4×C3712yes—
1385C2×C4C23×C4×C3712yes—
1386C2×C4C23×C4×C3712yes—
1387C2×C4C23×C4×C3712yes—
1388C2×C4C23×C4×C3712yes—
1389C2×C4C23×C4×C3712yes—
1390C2×C4C23×C4×C3712yes—
1391C2×C4C23×C4×C3712yes—
1392C2×C4C23×C4×C3712yes—
1393C2×C4C23×C4×C3712yes—
1394C2×C4C23×C4×C3712yes—
1395C2×C4H(5,𝔽2)×C3712yes—
1396C2×C42−1+4×C3712yes—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—22no—
1404C22—22no—
1405C22—22no—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22C37×#52014yes—
1418C22C24×C4×C3711yescharacteristic
1419C22C2×H(5,𝔽2)×C3711yescharacteristic
1420C22C2×H(5,𝔽2)×C3711yescharacteristic
1421C22C2×2−1+4×C3711yescharacteristic
1422C22C2×2−1+4×C3711yescharacteristic
1423C22C37×#58511yescharacteristic
1424C22C37×#58511yescharacteristic
1425C4—22no—
1426C4—22no—
1427C4—22no—
1428C4—22no—
1429C4—22no—
1430C4—22no—
1431C4—22no—
1432C4—22no—
1433C4—22no—
1434C4—22no—
1435C4—22no—
1436C4—22no—
1437C4—22no—
1438C4—22no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C2—24no—
1454C2—42no—
1455C2—42no—
1456C2C2×C37×#52011yescharacteristic
1457C2C4×H(5,𝔽2)×C3711yescharacteristic
1458C2C4×2−1+4×C3711yescharacteristic
1459C2C37×#353411yescharacteristic
1460C2C37×#353511yescharacteristic
1461C2C37×#355211yescharacteristic
1462C2C37×#355311yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutatorC22C24×C4×C37
Frattini, cosocleC23C25×C37
prime radicalC2×#121×C37C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
2. C37×#2383C2semidirect
3. C37×#2382C2semidirect
4. C37×#2378C2semidirect
5. C37×#2376C2semidirect
6. C37×#2373C2semidirect
7. C37×#2370C2semidirect
8. C37×#2368C2semidirect
11. C37×#2360C2semidirect
12. C37×#2360C2semidirect
13. C37×#2359C2semidirect
14. C37×#2353C2semidirect
15. C37×#2352C2semidirect
16. C37×#2349C2semidirect
17. D4×C4⋊C4×C37C2semidirect
18. C37×#2336C2semidirect
19. C37×#2335C2semidirect
20. C37×#2334C2semidirect
21. C37×#2334C2semidirect
22. C37×#2330C2semidirect
23. C37×#2329C2semidirect
24. C37×#2323C2semidirect
25. C37×#2322C2semidirect
26. C37×#2322C2semidirect
27. C37×#2322C2semidirect
28. C37×#2313C2semidirect
29. C4×#123×C37C2semidirect
30. C4×#123×C37C2semidirect
31. C2×C37×#389C2semidirect
32. C37×#539C4semidirect
205. #126×C37C2×C4semidirect
206. #126×C37C2×C4semidirect
207. #125×C37C2×C4semidirect
208. #125×C37C2×C4semidirect
209. #123×C37C2×C4semidirect
210. #123×C37C2×C4semidirect
211. #123×C37C2×C4semidirect
212. #123×C37C2×C4semidirect
213. C22⋊Q8×C37C2×C4semidirect
214. C22⋊Q8×C37C2×C4semidirect
215. C22⋊Q8×C37C2×C4semidirect
223. C4×D4×C37C2×C4semidirect
224. C4×D4×C37C2×C4semidirect
230. C2×C4⋊C4×C37C2×C4semidirect
665. #34417C37direct (N × H)
723. #2383C2×C37semidirect
724. #2382C2×C37semidirect
725. #2378C2×C37semidirect
726. #2376C2×C37semidirect
727. #2373C2×C37semidirect
728. #2370C2×C37semidirect
729. #2368C2×C37semidirect
732. #2360C2×C37semidirect
733. #2360C2×C37semidirect
734. #2359C2×C37semidirect
735. #2353C2×C37semidirect
736. #2352C2×C37semidirect
737. #2349C2×C37semidirect
738. D4×C4⋊C4C2×C37semidirect
739. #2336C2×C37semidirect
740. #2335C2×C37semidirect
741. #2334C2×C37semidirect
742. #2334C2×C37semidirect
743. #2330C2×C37semidirect
744. #2329C2×C37semidirect
745. #2323C2×C37semidirect
746. #2322C2×C37semidirect
747. #2322C2×C37semidirect
748. #2322C2×C37semidirect
749. #2313C2×C37semidirect
750. C4×#123C2×C37semidirect
751. C4×#123C2×C37semidirect
752. C2×#389C2×C37semidirect
763. #539C4×C37semidirect
919. C37#34417direct (N × H)
937. #126C2×C4×C37semidirect
938. #126C2×C4×C37semidirect
939. #125C2×C4×C37semidirect
940. #125C2×C4×C37semidirect
941. #123C2×C4×C37semidirect
942. #123C2×C4×C37semidirect
943. #123C2×C4×C37semidirect
944. #123C2×C4×C37semidirect
945. C22⋊Q8C2×C4×C37semidirect
946. C22⋊Q8C2×C4×C37semidirect
947. C22⋊Q8C2×C4×C37semidirect
955. C4×D4C2×C4×C37semidirect
956. C4×D4C2×C4×C37semidirect
962. C2×C4⋊C4C2×C4×C37semidirect

Maximal subgroups

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

subgroupindex
C2×C37×#5392
C37×#23832
C37×#23822
C37×#23782
C37×#23762
C37×#23732
C37×#23702
C37×#23682
C37×#23642
C37×#23612
C37×#23602
C37×#23592
C37×#23532
C37×#23522
C37×#23492
D4×C4⋊C4×C372
C37×#23362
C37×#23352
C37×#23342
C37×#23302
C37×#23292
C37×#23232
C37×#23222
C37×#23132
C4×#123×C372
C2×C37×#3892
#3441737