Finite Group Databasebeta

← C37×#36798 #22658051

Subgroups — C37×#36798 #22658051

Order 9472.

1518 conjugacy classes of subgroups.

The subgroup lattice has 1322 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2852C211yesmaximal, characteristic
2C37×#2851C211yesmaximal, characteristic, complemented
3C37×#2798C211yesmaximal, characteristic, complemented
4C37×#2794C211yesmaximal, characteristic, complemented
5C37×#2794C211yesmaximal, characteristic, complemented
6C37×#2789C211yesmaximal, characteristic, complemented
7C37×#2776C211yesmaximal, characteristic, complemented
8C37×#2769C211yesmaximal, characteristic, complemented
9C37×#2766C211yesmaximal, characteristic, complemented
10C37×#2758C211yesmaximal, characteristic, complemented
11C37×#2754C211yesmaximal, characteristic, complemented
12C37×#2747C211yesmaximal, characteristic, complemented
13C37×#2744C211yesmaximal, characteristic, complemented
14C37×#2739C211yesmaximal, characteristic, complemented
15C37×#2722C211yesmaximal, characteristic, complemented
16C37×#2721C211yesmaximal, characteristic, complemented
17C37×#2721C211yesmaximal, characteristic, complemented
18C37×#2719C211yesmaximal, characteristic, complemented
19C37×#2646C211yesmaximal, characteristic, complemented
20C37×#2643C211yesmaximal, characteristic
21C37×#2569C211yesmaximal, characteristic, complemented
22C37×#2564C211yesmaximal, characteristic
23C37×#2510C211yesmaximal, characteristic
24C37×#2505C211yesmaximal, characteristic, complemented
25C37×#2502C211yesmaximal, characteristic, complemented
26C37×#2487C211yesmaximal, characteristic
27C37×#2481C211yesmaximal, characteristic
28C37×#2473C211yesmaximal, characteristic, complemented
29C37×#2329C211yesmaximal, characteristic, complemented
30C37×#2318C211yesmaximal, characteristic
31C2×C37×#387C211yesmaximal, characteristic, complemented
32C2×#126×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic
34C2×#125×C37C2211yescharacteristic
35C2×#125×C37C2211yescharacteristic
36C2×C22⋊Q8×C37C2211yescharacteristic
37C2×C4×D4×C37C2211yescharacteristic
38C22×C4⋊C4×C37C2211yescharacteristic
39C22×C4⋊C4×C37C2211yescharacteristic
40C22×C42×C37C2211yescharacteristic
41C37×#401C2211yescharacteristic
42C37×#401C2211yescharacteristic
43C37×#400C2211yescharacteristic
44C37×#400C2211yescharacteristic
45C37×#400C2211yescharacteristic
46C37×#400C2211yescharacteristic
47C37×#400C2211yescharacteristic
48C37×#400C2211yescharacteristic
49C37×#400C2211yescharacteristic
50C37×#400C2211yescharacteristic
51C37×#400C2211yescharacteristic
52C37×#400C2211yescharacteristic
53C37×#400C2211yescharacteristic
54C37×#400C2211yescharacteristic
55C37×#400C2211yescharacteristic
56C37×#400C2211yescharacteristic
57C37×#400C2211yescharacteristic
58C37×#400C2211yescharacteristic
59C37×#400C2211yescharacteristic
60C37×#400C2211yescharacteristic
61C37×#400C2211yescharacteristic
62C37×#399C2211yescharacteristic
63C37×#399C2211yescharacteristic
64C37×#399C2211yescharacteristic
65C37×#398C2211yescharacteristic
66C37×#398C2211yescharacteristic
67C37×#398C2211yescharacteristic
68C37×#398C2211yescharacteristic
69C37×#398C2211yescharacteristic
70C37×#398C2211yescharacteristic
71C37×#398C2211yescharacteristic
72C37×#398C2211yescharacteristic
73C37×#398C2211yescharacteristic
74C37×#398C2211yescharacteristic
75C37×#398C2211yescharacteristic
76C37×#398C2211yescharacteristic
77C37×#398C2211yescharacteristic
78C37×#398C2211yescharacteristic
79C37×#397C2211yescharacteristic
80C37×#397C2211yescharacteristic
81C37×#397C2211yescharacteristic
82C37×#397C2211yescharacteristic
83C37×#397C2211yescharacteristic
84C37×#397C2211yescharacteristic
85C37×#396C2211yescharacteristic
86C37×#396C2211yescharacteristic
87C37×#395C2211yescharacteristic
88C37×#393C2211yescharacteristic
89C37×#391C2211yescharacteristic
90C37×#391C2211yescharacteristic
91C37×#391C2211yescharacteristic
92C37×#391C2211yescharacteristic
93C37×#389C2211yescharacteristic
94C37×#389C2211yescharacteristic
95C37×#389C2211yescharacteristic
96C37×#389C2211yescharacteristic
97C37×#389C2211yescharacteristic
98C37×#389C2211yescharacteristic
99C37×#389C2211yescharacteristic
100C37×#389C2211yescharacteristic
101C37×#388C2211yescharacteristic
102C37×#388C2211yescharacteristic
103C37×#388C2211yescharacteristic
104C37×#388C2211yescharacteristic
105C37×#388C2211yescharacteristic
106C37×#388C2211yescharacteristic
107C37×#388C2211yescharacteristic
108C37×#388C2211yescharacteristic
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×#387C2211yescharacteristic
129C37×#387C2211yescharacteristic
130C37×#387C2211yescharacteristic
131C37×#387C2211yescharacteristic
132C37×#387C2211yescharacteristic
133C37×#387C2211yescharacteristic
134C37×#387C2211yescharacteristic
135C37×#387C2211yescharacteristic
136C37×#387C2211yescharacteristic
137C37×#387C2211yescharacteristic
138C37×#387C2211yescharacteristic
139C37×#387C2211yescharacteristic
140C37×#387C2211yescharacteristic
141C37×#387C2211yescharacteristic
142C37×#387C2211yescharacteristic
143C37×#386C2211yescharacteristic
144C37×#386C2211yescharacteristic
145C37×#386C2211yescharacteristic
146C37×#386C2211yescharacteristic
147C37×#386C2211yescharacteristic
148C37×#386C2211yescharacteristic
149C37×#385C2211yescharacteristic
150C37×#385C2211yescharacteristic
151C37×#385C2211yescharacteristic
152C37×#385C2211yescharacteristic
153C37×#385C2211yescharacteristic
154C37×#385C2211yescharacteristic
155C37×#385C2211yescharacteristic
156C37×#385C2211yescharacteristic
157C37×#385C2211yescharacteristic
158C37×#385C2211yescharacteristic
159C37×#385C2211yescharacteristic
160C37×#385C2211yescharacteristic
161C37×#385C2211yescharacteristic
162C37×#385C2211yescharacteristic
163C37×#384C2211yescharacteristic
164C37×#384C2211yescharacteristic
165C37×#383C2211yescharacteristic
166C37×#383C2211yescharacteristic
167C37×#383C2211yescharacteristic
168C37×#382C2211yescharacteristic
169C37×#382C2211yescharacteristic
170C37×#382C2211yescharacteristic
171C37×#381C2211yescharacteristic
172C37×#380C2211yescharacteristic
173C37×#380C2211yescharacteristic
174C37×#380C2211yescharacteristic
175C37×#380C2211yescharacteristic
176C37×#380C2211yescharacteristic
177C37×#380C2211yescharacteristic
178C37×#380C2211yescharacteristic
179C37×#380C2211yescharacteristic
180C4×C22⋊C4×C37C2211yescharacteristic
181C4×C22⋊C4×C37C2211yescharacteristic
182C4×C22⋊C4×C37C2211yescharacteristic
183C2×#95×C37C2211yescharacteristic
184C2×#95×C37C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C2×#95×C37C2211yescharacteristic
187C22×Q8×C37C2311yescharacteristic
188C22×D4×C37C2311yescharacteristic
189C23×C4×C37C2311yescharacteristic
190C23×C4×C37C2311yescharacteristic
191C23×C4×C37C2311yescharacteristic
192C23×C4×C37C2311yescharacteristic
193C23×C4×C37C2311yescharacteristic
194C23×C4×C37C2311yescharacteristic
195C23×C4×C37C2311yescharacteristic
196C23×C4×C37C2311yescharacteristic
197#126×C37—42no—
198#126×C37—42no—
199#125×C37—42no—
200#125×C37—42no—
201C22⋊Q8×C37—24no—
202C4×D4×C37—24no—
203C2×C4⋊C4×C37—24no—
204C2×C4⋊C4×C37—42no—
205C2×C4⋊C4×C37C2311yescharacteristic
206C2×C4⋊C4×C37C2311yescharacteristic
207C2×C4⋊C4×C37C2311yescharacteristic
208C2×C4⋊C4×C37C2311yescharacteristic
209C2×C4⋊C4×C37C2311yescharacteristic
210C2×C4⋊C4×C37C2311yescharacteristic
211C2×C4⋊C4×C37C2311yescharacteristic
212C2×C4⋊C4×C37C2311yescharacteristic
213C2×C4⋊C4×C37C2311yescharacteristic
214C2×C4⋊C4×C37C2311yescharacteristic
215C2×C4⋊C4×C37C2311yescharacteristic
216C2×C4⋊C4×C37C2311yescharacteristic
217C2×C4⋊C4×C37C2311yescharacteristic
218C2×C4⋊C4×C37C2311yescharacteristic
219C2×C4⋊C4×C37C2311yescharacteristic
220C2×C4⋊C4×C37C2311yescharacteristic
221C2×C4⋊C4×C37C2311yescharacteristic
222C2×C4⋊C4×C37C2311yescharacteristic
223C2×C4⋊C4×C37C2311yescharacteristic
224C2×C4⋊C4×C37C2311yescharacteristic
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×C37C2311yescharacteristic
252C2×C22⋊C4×C37C2311yescharacteristic
253C2×C22⋊C4×C37C2311yescharacteristic
254C2×C22⋊C4×C37C2311yescharacteristic
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×C42×C37—42no—
272C2×C42×C37C2311yescharacteristic
273C2×C42×C37C2311yescharacteristic
274C2×C42×C37C2311yescharacteristic
275C2×C42×C37C2311yescharacteristic
276C2×C42×C37C2311yescharacteristic
277C2×C42×C37C2311yescharacteristic
278C2×C42×C37C2311yescharacteristic
279C2×C42×C37C2311yescharacteristic
280C2×C42×C37C2311yescharacteristic
281C2×C42×C37C2311yescharacteristic
282C2×C42×C37C2311yescharacteristic
283#95×C37C2311yescharacteristic
284#95×C37C2311yescharacteristic
285#95×C37C2311yescharacteristic
286#95×C37C2311yescharacteristic
287#95×C37C2311yescharacteristic
288#95×C37C2311yescharacteristic
289#95×C37C2311yescharacteristic
290#95×C37C2311yescharacteristic
291#95×C37C2311yescharacteristic
292#95×C37C2311yescharacteristic
293#95×C37C2311yescharacteristic
294#95×C37C2311yescharacteristic
295#95×C37C2311yescharacteristic
296#95×C37C2311yescharacteristic
297#95×C37C2311yescharacteristic
298#95×C37C2311yescharacteristic
299#95×C37C2311yescharacteristic
300#95×C37C2311yescharacteristic
301#95×C37C2311yescharacteristic
302#95×C37C2311yescharacteristic
303#95×C37C2311yescharacteristic
304#95×C37C2311yescharacteristic
305#95×C37C2311yescharacteristic
306#95×C37C2311yescharacteristic
307#95×C37C2311yescharacteristic
308#95×C37C2311yescharacteristic
309#95×C37C2311yescharacteristic
310#95×C37C2311yescharacteristic
311#95×C37C2311yescharacteristic
312#95×C37C2311yescharacteristic
313#95×C37C2311yescharacteristic
314#95×C37C2311yescharacteristic
315#95×C37C2311yescharacteristic
316#95×C37C2311yescharacteristic
317#95×C37C2311yescharacteristic
318#95×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
351C24×C37C2411yescharacteristic
352C24×C37C2411yescharacteristic
353C2×Q8×C37—22no—
354C2×Q8×C37—41no—
355C2×Q8×C37—41no—
356C2×D4×C37—22no—
357C2×D4×C37—22no—
358C2×D4×C37—22no—
359C22×C4×C37—22no—
360C22×C4×C37—22no—
361C22×C4×C37—22no—
362C22×C4×C37—22no—
363C22×C4×C37—22no—
364C22×C4×C37—22no—
365C22×C4×C37—22no—
366C22×C4×C37—22no—
367C22×C4×C37—41no—
368C22×C4×C37—41no—
369C22×C4×C37—41no—
370C22×C4×C37—41no—
371C22×C4×C37—41no—
372C22×C4×C37—41no—
373C22×C4×C37—41no—
374C22×C4×C37—41no—
375C22×C4×C37—41no—
376C22×C4×C37—41no—
377C22×C4×C37—41no—
378C22×C4×C37—41no—
379C22×C4×C37—41no—
380C22×C4×C37—41no—
381C22×C4×C37—41no—
382C22×C4×C37#4114yes—
383C22×C4×C37C2411yescharacteristic
384C22×C4×C37C2411yescharacteristic
385C22×C4×C37C2411yescharacteristic
386C22×C4×C37C2411yescharacteristic
387C22×C4×C37C2411yescharacteristic
388C22×C4×C37C2411yescharacteristic
389C22×C4×C37C2411yescharacteristic
390C22×C4×C37C2411yescharacteristic
391C22×C4×C37C2411yescharacteristic
392C22×C4×C37C2411yescharacteristic
393C22×C4×C37C2411yescharacteristic
394C22×C4×C37C2411yescharacteristic
395C22×C4×C37C2411yescharacteristic
396C22×C4×C37C2411yescharacteristic
397C22×C4×C37C2411yescharacteristic
398C22×C4×C37C2411yescharacteristic
399C22×C4×C37C2411yescharacteristic
400C22×C4×C37C2411yescharacteristic
401C22×C4×C37C2411yescharacteristic
402C22×C4×C37C2411yescharacteristic
403C22×C4×C37C2411yescharacteristic
404C22×C4×C37C2411yescharacteristic
405C22×C4×C37C2411yescharacteristic
406C22×C4×C37C2411yescharacteristic
407C22×C4×C37C2411yescharacteristic
408C22×C4×C37C2411yescharacteristic
409C22×C4×C37C2411yescharacteristic
410C22×C4×C37C2411yescharacteristic
411C22×C4×C37C2411yescharacteristic
412C4⋊C4×C37—22no—
413C4⋊C4×C37—22no—
414C4⋊C4×C37—22no—
415C4⋊C4×C37—22no—
416C4⋊C4×C37—22no—
417C4⋊C4×C37—22no—
418C4⋊C4×C37—22no—
419C4⋊C4×C37—22no—
420C4⋊C4×C37—22no—
421C4⋊C4×C37—22no—
422C4⋊C4×C37—22no—
423C4⋊C4×C37—22no—
424C4⋊C4×C37—22no—
425C4⋊C4×C37—41no—
426C4⋊C4×C37—41no—
427C4⋊C4×C37—41no—
428C4⋊C4×C37—41no—
429C4⋊C4×C37—41no—
430C4⋊C4×C37—41no—
431C4⋊C4×C37—41no—
432C4⋊C4×C37—41no—
433C4⋊C4×C37—41no—
434C4⋊C4×C37—41no—
435C4⋊C4×C37—41no—
436C4⋊C4×C37—41no—
437C4⋊C4×C37—41no—
438C4⋊C4×C37—41no—
439C4⋊C4×C37—41no—
440C4⋊C4×C37—41no—
441C4⋊C4×C37—41no—
442C4⋊C4×C37—41no—
443C4⋊C4×C37—41no—
444C4⋊C4×C37—41no—
445C4⋊C4×C37—41no—
446C4⋊C4×C37—41no—
447C4⋊C4×C37—41no—
448C4⋊C4×C37—41no—
449C4⋊C4×C37—41no—
450C4⋊C4×C37—41no—
451C4⋊C4×C37—41no—
452C4⋊C4×C37—41no—
453C4⋊C4×C37—41no—
454C4⋊C4×C37—41no—
455C4⋊C4×C37—41no—
456C4⋊C4×C37—41no—
457C4⋊C4×C37—41no—
458C22⋊C4×C37—22no—
459C22⋊C4×C37—22no—
460C22⋊C4×C37—22no—
461C22⋊C4×C37—22no—
462C22⋊C4×C37—22no—
463C22⋊C4×C37—22no—
464C22⋊C4×C37—22no—
465C22⋊C4×C37—22no—
466C22⋊C4×C37—22no—
467C22⋊C4×C37—41no—
468C22⋊C4×C37—41no—
469C22⋊C4×C37—41no—
470C22⋊C4×C37—41no—
471C22⋊C4×C37—41no—
472C22⋊C4×C37—41no—
473C22⋊C4×C37—41no—
474C22⋊C4×C37—41no—
475C22⋊C4×C37—41no—
476C22⋊C4×C37—41no—
477C22⋊C4×C37—41no—
478C42×C37—22no—
479C42×C37—22no—
480C42×C37—22no—
481C42×C37—41no—
482C42×C37—41no—
483C42×C37—41no—
484C42×C37—41no—
485C42×C37—41no—
486C42×C37—41no—
487C42×C37—41no—
488C42×C37—41no—
489C23×C37—21no—
490C23×C37—21no—
491C23×C37—21no—
492C23×C37—21no—
493C23×C37—21no—
494C23×C37—21no—
495C23×C37—21no—
496C23×C37—21no—
497C23×C37—21no—
498C23×C37—21no—
499C23×C37—21no—
500C23×C37C2×#4112yes—
501C23×C372−1+412yes—
502C23×C372−1+412yes—
503C23×C37C2511yescharacteristic
504Q8×C37—82no—
505D4×C37—44no—
506C2×C4×C37—21no—
507C2×C4×C37—21no—
508C2×C4×C37—21no—
509C2×C4×C37—21no—
510C2×C4×C37—21no—
511C2×C4×C37—21no—
512C2×C4×C37—21no—
513C2×C4×C37—21no—
514C2×C4×C37—21no—
515C2×C4×C37—21no—
516C2×C4×C37—21no—
517C2×C4×C37—21no—
518C2×C4×C37—21no—
519C2×C4×C37—21no—
520C2×C4×C37—21no—
521C2×C4×C37—21no—
522C2×C4×C37—21no—
523C2×C4×C37—21no—
524C2×C4×C37—21no—
525C2×C4×C37—21no—
526C2×C4×C37—21no—
527C2×C4×C37—21no—
528C2×C4×C37—21no—
529C2×C4×C37—21no—
530C2×C4×C37—21no—
531C2×C4×C37—21no—
532C2×C4×C37—21no—
533C2×C4×C37—21no—
534C2×C4×C37—21no—
535C2×C4×C37—21no—
536C2×C4×C37—21no—
537C2×C4×C37—21no—
538C2×C4×C37—21no—
539C2×C4×C37—21no—
540C2×C4×C37—21no—
541C2×C4×C37—21no—
542C2×C4×C37—21no—
543C2×C4×C37—21no—
544C2×C4×C37—21no—
545C2×C4×C37—21no—
546C2×C4×C37—21no—
547C2×C4×C37—21no—
548C2×C4×C37—21no—
549C2×C4×C37—21no—
550C2×C4×C37—21no—
551C2×C4×C37—21no—
552C2×C4×C37—21no—
553C2×C4×C37—21no—
554C2×C4×C37—21no—
555C2×C4×C37—21no—
556C2×C4×C37—21no—
557C2×C4×C37—21no—
558C2×C4×C37—21no—
559C2×C4×C37—21no—
560C2×C4×C37—21no—
561C2×C4×C37—21no—
562C2×C4×C37—21no—
563C2×C4×C37—21no—
564C2×C4×C37—21no—
565C2×C4×C37—21no—
566C2×C4×C37—21no—
567C2×C4×C37—21no—
568C2×C4×C37—21no—
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—44no—
591C2×C4×C37—44no—
592C2×C4×C37—44no—
593C2×C4×C37—44no—
594C2×C4×C37—44no—
595C2×C4×C37—82no—
596C2×C4×C37—82no—
597C2×C4×C37—82no—
598C2×C4×C37C2×#4112yes—
599C2×C4×C37C2×#4112yes—
600C2×C4×C37H(5,𝔽2)12yes—
601#36798C3711yesmaximal, characteristic, direct product factor, Sylow
602C22×C37—22no—
603C22×C37—22no—
604C22×C37—22no—
605C22×C37—22no—
606C22×C37—22no—
607C22×C37—22no—
608C22×C37—41no—
609C22×C37—41no—
610C22×C37—41no—
611C22×C37—41no—
612C22×C37—41no—
613C22×C37—41no—
614C22×C37—41no—
615C22×C37#54114yes—
616C22×C37C22×#4111yescharacteristic
617C22×C37C2×H(5,𝔽2)11yescharacteristic
618C22×C37C2×2−1+411yescharacteristic
619C22×C37C2×2−1+411yescharacteristic
620C22×C37#58511yescharacteristic
621C22×C37#58511yescharacteristic
622C22×C37#58511yescharacteristic
623C4×C37—22no—
624C4×C37—22no—
625C4×C37—22no—
626C4×C37—41no—
627C4×C37—41no—
628C4×C37—41no—
629C4×C37—41no—
630C4×C37—41no—
631C4×C37—41no—
632C4×C37—41no—
633C4×C37—41no—
634C4×C37—41no—
635C4×C37—41no—
636C4×C37—41no—
637C4×C37—41no—
638C4×C37—41no—
639C4×C37—41no—
640C4×C37—41no—
641C4×C37—41no—
642C4×C37—41no—
643C4×C37—41no—
644C4×C37—41no—
645C4×C37—41no—
646C4×C37—41no—
647C4×C37—41no—
648C4×C37—41no—
649C4×C37—41no—
650C4×C37—41no—
651C4×C37—41no—
652#2852C2×C3711yescharacteristic
653#2851C2×C3711yescharacteristic, complemented
654#2798C2×C3711yescharacteristic, complemented
655#2794C2×C3711yescharacteristic, complemented
656#2794C2×C3711yescharacteristic, complemented
657#2789C2×C3711yescharacteristic, complemented
658#2776C2×C3711yescharacteristic, complemented
659#2769C2×C3711yescharacteristic, complemented
660#2766C2×C3711yescharacteristic, complemented
661#2758C2×C3711yescharacteristic, complemented
662#2754C2×C3711yescharacteristic, complemented
663#2747C2×C3711yescharacteristic, complemented
664#2744C2×C3711yescharacteristic, complemented
665#2739C2×C3711yescharacteristic, complemented
666#2722C2×C3711yescharacteristic, complemented
667#2721C2×C3711yescharacteristic, complemented
668#2721C2×C3711yescharacteristic, complemented
669#2719C2×C3711yescharacteristic, complemented
670#2646C2×C3711yescharacteristic, complemented
671#2643C2×C3711yescharacteristic
672#2569C2×C3711yescharacteristic, complemented
673#2564C2×C3711yescharacteristic
674#2510C2×C3711yescharacteristic
675#2505C2×C3711yescharacteristic, complemented
676#2502C2×C3711yescharacteristic, complemented
677#2487C2×C3711yescharacteristic
678#2481C2×C3711yescharacteristic
679#2473C2×C3711yescharacteristic, complemented
680#2329C2×C3711yescharacteristic, complemented
681#2318C2×C3711yescharacteristic
682C2×#387C2×C3711yescharacteristic, complemented
683C2×C37—24no—
684C2×C37—81no—
685C2×C37C2×#54111yescharacteristic
686C2×C37#349111yescharacteristic
687C2×C37#350611yescharacteristic
688C2×C37#353511yescharacteristic
689C2×C37#354111yescharacteristic
690C2×C37#355311yescharacteristic
691C2×C37#356411yescharacteristic
692C2×#126C22×C3711yescharacteristic
693C2×#126C22×C3711yescharacteristic
694C2×#125C22×C3711yescharacteristic
695C2×#125C22×C3711yescharacteristic
696C2×C22⋊Q8C22×C3711yescharacteristic
697C2×C4×D4C22×C3711yescharacteristic
698C22×C4⋊C4C22×C3711yescharacteristic
699C22×C4⋊C4C22×C3711yescharacteristic
700C22×C42C22×C3711yescharacteristic
701#401C22×C3711yescharacteristic
702#401C22×C3711yescharacteristic
703#400C22×C3711yescharacteristic
704#400C22×C3711yescharacteristic
705#400C22×C3711yescharacteristic
706#400C22×C3711yescharacteristic
707#400C22×C3711yescharacteristic
708#400C22×C3711yescharacteristic
709#400C22×C3711yescharacteristic
710#400C22×C3711yescharacteristic
711#400C22×C3711yescharacteristic
712#400C22×C3711yescharacteristic
713#400C22×C3711yescharacteristic
714#400C22×C3711yescharacteristic
715#400C22×C3711yescharacteristic
716#400C22×C3711yescharacteristic
717#400C22×C3711yescharacteristic
718#400C22×C3711yescharacteristic
719#400C22×C3711yescharacteristic
720#400C22×C3711yescharacteristic
721#400C22×C3711yescharacteristic
722#399C22×C3711yescharacteristic
723#399C22×C3711yescharacteristic
724#399C22×C3711yescharacteristic
725#398C22×C3711yescharacteristic
726#398C22×C3711yescharacteristic
727#398C22×C3711yescharacteristic
728#398C22×C3711yescharacteristic
729#398C22×C3711yescharacteristic
730#398C22×C3711yescharacteristic
731#398C22×C3711yescharacteristic
732#398C22×C3711yescharacteristic
733#398C22×C3711yescharacteristic
734#398C22×C3711yescharacteristic
735#398C22×C3711yescharacteristic
736#398C22×C3711yescharacteristic
737#398C22×C3711yescharacteristic
738#398C22×C3711yescharacteristic
739#397C22×C3711yescharacteristic
740#397C22×C3711yescharacteristic
741#397C22×C3711yescharacteristic
742#397C22×C3711yescharacteristic
743#397C22×C3711yescharacteristic
744#397C22×C3711yescharacteristic
745#396C22×C3711yescharacteristic
746#396C22×C3711yescharacteristic
747#395C22×C3711yescharacteristic
748#393C22×C3711yescharacteristic
749#391C22×C3711yescharacteristic
750#391C22×C3711yescharacteristic
751#391C22×C3711yescharacteristic
752#391C22×C3711yescharacteristic
753#389C22×C3711yescharacteristic
754#389C22×C3711yescharacteristic
755#389C22×C3711yescharacteristic
756#389C22×C3711yescharacteristic
757#389C22×C3711yescharacteristic
758#389C22×C3711yescharacteristic
759#389C22×C3711yescharacteristic
760#389C22×C3711yescharacteristic
761#388C22×C3711yescharacteristic
762#388C22×C3711yescharacteristic
763#388C22×C3711yescharacteristic
764#388C22×C3711yescharacteristic
765#388C22×C3711yescharacteristic
766#388C22×C3711yescharacteristic
767#388C22×C3711yescharacteristic
768#388C22×C3711yescharacteristic
769#387C22×C3711yescharacteristic
770#387C22×C3711yescharacteristic
771#387C22×C3711yescharacteristic
772#387C22×C3711yescharacteristic
773#387C22×C3711yescharacteristic
774#387C22×C3711yescharacteristic
775#387C22×C3711yescharacteristic
776#387C22×C3711yescharacteristic
777#387C22×C3711yescharacteristic
778#387C22×C3711yescharacteristic
779#387C22×C3711yescharacteristic
780#387C22×C3711yescharacteristic
781#387C22×C3711yescharacteristic
782#387C22×C3711yescharacteristic
783#387C22×C3711yescharacteristic
784#387C22×C3711yescharacteristic
785#387C22×C3711yescharacteristic
786#387C22×C3711yescharacteristic
787#387C22×C3711yescharacteristic
788#387C22×C3711yescharacteristic
789#387C22×C3711yescharacteristic
790#387C22×C3711yescharacteristic
791#387C22×C3711yescharacteristic
792#387C22×C3711yescharacteristic
793#387C22×C3711yescharacteristic
794#387C22×C3711yescharacteristic
795#387C22×C3711yescharacteristic
796#387C22×C3711yescharacteristic
797#387C22×C3711yescharacteristic
798#387C22×C3711yescharacteristic
799#387C22×C3711yescharacteristic
800#387C22×C3711yescharacteristic
801#387C22×C3711yescharacteristic
802#387C22×C3711yescharacteristic
803#386C22×C3711yescharacteristic
804#386C22×C3711yescharacteristic
805#386C22×C3711yescharacteristic
806#386C22×C3711yescharacteristic
807#386C22×C3711yescharacteristic
808#386C22×C3711yescharacteristic
809#385C22×C3711yescharacteristic
810#385C22×C3711yescharacteristic
811#385C22×C3711yescharacteristic
812#385C22×C3711yescharacteristic
813#385C22×C3711yescharacteristic
814#385C22×C3711yescharacteristic
815#385C22×C3711yescharacteristic
816#385C22×C3711yescharacteristic
817#385C22×C3711yescharacteristic
818#385C22×C3711yescharacteristic
819#385C22×C3711yescharacteristic
820#385C22×C3711yescharacteristic
821#385C22×C3711yescharacteristic
822#385C22×C3711yescharacteristic
823#384C22×C3711yescharacteristic
824#384C22×C3711yescharacteristic
825#383C22×C3711yescharacteristic
826#383C22×C3711yescharacteristic
827#383C22×C3711yescharacteristic
828#382C22×C3711yescharacteristic
829#382C22×C3711yescharacteristic
830#382C22×C3711yescharacteristic
831#381C22×C3711yescharacteristic
832#380C22×C3711yescharacteristic
833#380C22×C3711yescharacteristic
834#380C22×C3711yescharacteristic
835#380C22×C3711yescharacteristic
836#380C22×C3711yescharacteristic
837#380C22×C3711yescharacteristic
838#380C22×C3711yescharacteristic
839#380C22×C3711yescharacteristic
840C4×C22⋊C4C22×C3711yescharacteristic
841C4×C22⋊C4C22×C3711yescharacteristic
842C4×C22⋊C4C22×C3711yescharacteristic
843C2×#95C22×C3711yescharacteristic
844C2×#95C22×C3711yescharacteristic
845C2×#95C22×C3711yescharacteristic
846C2×#95C22×C3711yescharacteristic
847C37#3679811yescharacteristic, direct product factor, Sylow
848C22×Q8C23×C3711yescharacteristic
849C22×D4C23×C3711yescharacteristic
850C23×C4C23×C3711yescharacteristic
851C23×C4C23×C3711yescharacteristic
852C23×C4C23×C3711yescharacteristic
853C23×C4C23×C3711yescharacteristic
854C23×C4C23×C3711yescharacteristic
855C23×C4C23×C3711yescharacteristic
856C23×C4C23×C3711yescharacteristic
857C23×C4C23×C3711yescharacteristic
858#126—42no—
859#126—42no—
860#125—42no—
861#125—42no—
862C22⋊Q8—24no—
863C4×D4—24no—
864C2×C4⋊C4—24no—
865C2×C4⋊C4—42no—
866C2×C4⋊C4C23×C3711yescharacteristic
867C2×C4⋊C4C23×C3711yescharacteristic
868C2×C4⋊C4C23×C3711yescharacteristic
869C2×C4⋊C4C23×C3711yescharacteristic
870C2×C4⋊C4C23×C3711yescharacteristic
871C2×C4⋊C4C23×C3711yescharacteristic
872C2×C4⋊C4C23×C3711yescharacteristic
873C2×C4⋊C4C23×C3711yescharacteristic
874C2×C4⋊C4C23×C3711yescharacteristic
875C2×C4⋊C4C23×C3711yescharacteristic
876C2×C4⋊C4C23×C3711yescharacteristic
877C2×C4⋊C4C23×C3711yescharacteristic
878C2×C4⋊C4C23×C3711yescharacteristic
879C2×C4⋊C4C23×C3711yescharacteristic
880C2×C4⋊C4C23×C3711yescharacteristic
881C2×C4⋊C4C23×C3711yescharacteristic
882C2×C4⋊C4C23×C3711yescharacteristic
883C2×C4⋊C4C23×C3711yescharacteristic
884C2×C4⋊C4C23×C3711yescharacteristic
885C2×C4⋊C4C23×C3711yescharacteristic
886C2×C4⋊C4C23×C3711yescharacteristic
887C2×C4⋊C4C23×C3711yescharacteristic
888C2×C4⋊C4C23×C3711yescharacteristic
889C2×C4⋊C4C23×C3711yescharacteristic
890C2×C4⋊C4C23×C3711yescharacteristic
891C2×C4⋊C4C23×C3711yescharacteristic
892C2×C4⋊C4C23×C3711yescharacteristic
893C2×C4⋊C4C23×C3711yescharacteristic
894C2×C4⋊C4C23×C3711yescharacteristic
895C2×C4⋊C4C23×C3711yescharacteristic
896C2×C4⋊C4C23×C3711yescharacteristic
897C2×C4⋊C4C23×C3711yescharacteristic
898C2×C4⋊C4C23×C3711yescharacteristic
899C2×C4⋊C4C23×C3711yescharacteristic
900C2×C4⋊C4C23×C3711yescharacteristic
901C2×C4⋊C4C23×C3711yescharacteristic
902C2×C4⋊C4C23×C3711yescharacteristic
903C2×C4⋊C4C23×C3711yescharacteristic
904C2×C4⋊C4C23×C3711yescharacteristic
905C2×C4⋊C4C23×C3711yescharacteristic
906C2×C4⋊C4C23×C3711yescharacteristic
907C2×C4⋊C4C23×C3711yescharacteristic
908C2×C4⋊C4C23×C3711yescharacteristic
909C2×C4⋊C4C23×C3711yescharacteristic
910C2×C4⋊C4C23×C3711yescharacteristic
911C2×C4⋊C4C23×C3711yescharacteristic
912C2×C22⋊C4C23×C3711yescharacteristic
913C2×C22⋊C4C23×C3711yescharacteristic
914C2×C22⋊C4C23×C3711yescharacteristic
915C2×C22⋊C4C23×C3711yescharacteristic
916C2×C22⋊C4C23×C3711yescharacteristic
917C2×C22⋊C4C23×C3711yescharacteristic
918C2×C22⋊C4C23×C3711yescharacteristic
919C2×C22⋊C4C23×C3711yescharacteristic
920C2×C22⋊C4C23×C3711yescharacteristic
921C2×C22⋊C4C23×C3711yescharacteristic
922C2×C22⋊C4C23×C3711yescharacteristic
923C2×C22⋊C4C23×C3711yescharacteristic
924C2×C22⋊C4C23×C3711yescharacteristic
925C2×C22⋊C4C23×C3711yescharacteristic
926C2×C22⋊C4C23×C3711yescharacteristic
927C2×C22⋊C4C23×C3711yescharacteristic
928C2×C22⋊C4C23×C3711yescharacteristic
929C2×C22⋊C4C23×C3711yescharacteristic
930C2×C22⋊C4C23×C3711yescharacteristic
931C2×C22⋊C4C23×C3711yescharacteristic
932C2×C42—42no—
933C2×C42C23×C3711yescharacteristic
934C2×C42C23×C3711yescharacteristic
935C2×C42C23×C3711yescharacteristic
936C2×C42C23×C3711yescharacteristic
937C2×C42C23×C3711yescharacteristic
938C2×C42C23×C3711yescharacteristic
939C2×C42C23×C3711yescharacteristic
940C2×C42C23×C3711yescharacteristic
941C2×C42C23×C3711yescharacteristic
942C2×C42C23×C3711yescharacteristic
943C2×C42C23×C3711yescharacteristic
944#95C23×C3711yescharacteristic
945#95C23×C3711yescharacteristic
946#95C23×C3711yescharacteristic
947#95C23×C3711yescharacteristic
948#95C23×C3711yescharacteristic
949#95C23×C3711yescharacteristic
950#95C23×C3711yescharacteristic
951#95C23×C3711yescharacteristic
952#95C23×C3711yescharacteristic
953#95C23×C3711yescharacteristic
954#95C23×C3711yescharacteristic
955#95C23×C3711yescharacteristic
956#95C23×C3711yescharacteristic
957#95C23×C3711yescharacteristic
958#95C23×C3711yescharacteristic
959#95C23×C3711yescharacteristic
960#95C23×C3711yescharacteristic
961#95C23×C3711yescharacteristic
962#95C23×C3711yescharacteristic
963#95C23×C3711yescharacteristic
964#95C23×C3711yescharacteristic
965#95C23×C3711yescharacteristic
966#95C23×C3711yescharacteristic
967#95C23×C3711yescharacteristic
968#95C23×C3711yescharacteristic
969#95C23×C3711yescharacteristic
970#95C23×C3711yescharacteristic
971#95C23×C3711yescharacteristic
972#95C23×C3711yescharacteristic
973#95C23×C3711yescharacteristic
974#95C23×C3711yescharacteristic
975#95C23×C3711yescharacteristic
976#95C23×C3711yescharacteristic
977#95C23×C3711yescharacteristic
978#95C23×C3711yescharacteristic
979#95C23×C3711yescharacteristic
980#95C23×C3711yescharacteristic
981#95C23×C3711yescharacteristic
982#95C23×C3711yescharacteristic
983#95C23×C3711yescharacteristic
984#95C23×C3711yescharacteristic
985#95C23×C3711yescharacteristic
986#95C23×C3711yescharacteristic
987#95C23×C3711yescharacteristic
988#95C23×C3711yescharacteristic
989#95C23×C3711yescharacteristic
990#95C23×C3711yescharacteristic
991#95C23×C3711yescharacteristic
992#95C23×C3711yescharacteristic
993#95C23×C3711yescharacteristic
994#95C23×C3711yescharacteristic
995#95C23×C3711yescharacteristic
996#95C23×C3711yescharacteristic
997#95C23×C3711yescharacteristic
998#95C23×C3711yescharacteristic
999#95C23×C3711yescharacteristic
1000#95C23×C3711yescharacteristic
1001#95C23×C3711yescharacteristic
1002#95C23×C3711yescharacteristic
1003#95C23×C3711yescharacteristic
1004#95C23×C3711yescharacteristic
1005#95C23×C3711yescharacteristic
1006#95C23×C3711yescharacteristic
1007#95C23×C3711yescharacteristic
1008#95C23×C3711yescharacteristic
1009#95C23×C3711yescharacteristic
1010#95C23×C3711yescharacteristic
1011#95C23×C3711yescharacteristic
1012C24C24×C3711yescharacteristic
1013C24C24×C3711yescharacteristic
1014C2×Q8—22no—
1015C2×Q8—41no—
1016C2×Q8—41no—
1017C2×D4—22no—
1018C2×D4—22no—
1019C2×D4—22no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—41no—
1029C22×C4—41no—
1030C22×C4—41no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4—41no—
1036C22×C4—41no—
1037C22×C4—41no—
1038C22×C4—41no—
1039C22×C4—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4#41×C3714yes—
1044C22×C4C24×C3711yescharacteristic
1045C22×C4C24×C3711yescharacteristic
1046C22×C4C24×C3711yescharacteristic
1047C22×C4C24×C3711yescharacteristic
1048C22×C4C24×C3711yescharacteristic
1049C22×C4C24×C3711yescharacteristic
1050C22×C4C24×C3711yescharacteristic
1051C22×C4C24×C3711yescharacteristic
1052C22×C4C24×C3711yescharacteristic
1053C22×C4C24×C3711yescharacteristic
1054C22×C4C24×C3711yescharacteristic
1055C22×C4C24×C3711yescharacteristic
1056C22×C4C24×C3711yescharacteristic
1057C22×C4C24×C3711yescharacteristic
1058C22×C4C24×C3711yescharacteristic
1059C22×C4C24×C3711yescharacteristic
1060C22×C4C24×C3711yescharacteristic
1061C22×C4C24×C3711yescharacteristic
1062C22×C4C24×C3711yescharacteristic
1063C22×C4C24×C3711yescharacteristic
1064C22×C4C24×C3711yescharacteristic
1065C22×C4C24×C3711yescharacteristic
1066C22×C4C24×C3711yescharacteristic
1067C22×C4C24×C3711yescharacteristic
1068C22×C4C24×C3711yescharacteristic
1069C22×C4C24×C3711yescharacteristic
1070C22×C4C24×C3711yescharacteristic
1071C22×C4C24×C3711yescharacteristic
1072C22×C4C24×C3711yescharacteristic
1073C4⋊C4—22no—
1074C4⋊C4—22no—
1075C4⋊C4—22no—
1076C4⋊C4—22no—
1077C4⋊C4—22no—
1078C4⋊C4—22no—
1079C4⋊C4—22no—
1080C4⋊C4—22no—
1081C4⋊C4—22no—
1082C4⋊C4—22no—
1083C4⋊C4—22no—
1084C4⋊C4—22no—
1085C4⋊C4—22no—
1086C4⋊C4—41no—
1087C4⋊C4—41no—
1088C4⋊C4—41no—
1089C4⋊C4—41no—
1090C4⋊C4—41no—
1091C4⋊C4—41no—
1092C4⋊C4—41no—
1093C4⋊C4—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
1102C4⋊C4—41no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—41no—
1117C4⋊C4—41no—
1118C4⋊C4—41no—
1119C22⋊C4—22no—
1120C22⋊C4—22no—
1121C22⋊C4—22no—
1122C22⋊C4—22no—
1123C22⋊C4—22no—
1124C22⋊C4—22no—
1125C22⋊C4—22no—
1126C22⋊C4—22no—
1127C22⋊C4—22no—
1128C22⋊C4—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—
1139C42—22no—
1140C42—22no—
1141C42—22no—
1142C42—41no—
1143C42—41no—
1144C42—41no—
1145C42—41no—
1146C42—41no—
1147C42—41no—
1148C42—41no—
1149C42—41no—
1150C23—21no—
1151C23—21no—
1152C23—21no—
1153C23—21no—
1154C23—21no—
1155C23—21no—
1156C23—21no—
1157C23—21no—
1158C23—21no—
1159C23—21no—
1160C23—21no—
1161C23C2×#41×C3712yes—
1162C232−1+4×C3712yes—
1163C232−1+4×C3712yes—
1164C23C25×C3711yescharacteristic
1165Q8—82no—
1166D4—44no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—21no—
1219C2×C4—21no—
1220C2×C4—21no—
1221C2×C4—21no—
1222C2×C4—21no—
1223C2×C4—21no—
1224C2×C4—21no—
1225C2×C4—21no—
1226C2×C4—21no—
1227C2×C4—21no—
1228C2×C4—21no—
1229C2×C4—21no—
1230C2×C4—21no—
1231C2×C4—21no—
1232C2×C4—21no—
1233C2×C4—21no—
1234C2×C4—21no—
1235C2×C4—21no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—44no—
1252C2×C4—44no—
1253C2×C4—44no—
1254C2×C4—44no—
1255C2×C4—44no—
1256C2×C4—82no—
1257C2×C4—82no—
1258C2×C4—82no—
1259C2×C4C2×#41×C3712yes—
1260C2×C4C2×#41×C3712yes—
1261C2×C4H(5,𝔽2)×C3712yes—
1262C22—22no—
1263C22—22no—
1264C22—22no—
1265C22—22no—
1266C22—22no—
1267C22—22no—
1268C22—41no—
1269C22—41no—
1270C22—41no—
1271C22—41no—
1272C22—41no—
1273C22—41no—
1274C22—41no—
1275C22C37×#54114yes—
1276C22C22×#41×C3711yescharacteristic
1277C22C2×H(5,𝔽2)×C3711yescharacteristic
1278C22C2×2−1+4×C3711yescharacteristic
1279C22C2×2−1+4×C3711yescharacteristic
1280C22C37×#58511yescharacteristic
1281C22C37×#58511yescharacteristic
1282C22C37×#58511yescharacteristic
1283C4—22no—
1284C4—22no—
1285C4—22no—
1286C4—41no—
1287C4—41no—
1288C4—41no—
1289C4—41no—
1290C4—41no—
1291C4—41no—
1292C4—41no—
1293C4—41no—
1294C4—41no—
1295C4—41no—
1296C4—41no—
1297C4—41no—
1298C4—41no—
1299C4—41no—
1300C4—41no—
1301C4—41no—
1302C4—41no—
1303C4—41no—
1304C4—41no—
1305C4—41no—
1306C4—41no—
1307C4—41no—
1308C4—41no—
1309C4—41no—
1310C4—41no—
1311C4—41no—
1312C2—24no—
1313C2—81no—
1314C2C2×C37×#54111yescharacteristic
1315C2C37×#349111yescharacteristic
1316C2C37×#350611yescharacteristic
1317C2C37×#353511yescharacteristic
1318C2C37×#354111yescharacteristic
1319C2C37×#355311yescharacteristic
1320C2C37×#356411yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
prime radicalC22×D4×C37C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
2. C37×#2851C2semidirect
3. C37×#2798C2semidirect
4. C37×#2794C2semidirect
5. C37×#2794C2semidirect
6. C37×#2789C2semidirect
7. C37×#2776C2semidirect
8. C37×#2769C2semidirect
9. C37×#2766C2semidirect
10. C37×#2758C2semidirect
11. C37×#2754C2semidirect
12. C37×#2747C2semidirect
13. C37×#2744C2semidirect
14. C37×#2739C2semidirect
15. C37×#2722C2semidirect
16. C37×#2721C2semidirect
17. C37×#2721C2semidirect
18. C37×#2719C2semidirect
19. C37×#2646C2semidirect
21. C37×#2569C2semidirect
24. C37×#2505C2semidirect
25. C37×#2502C2semidirect
28. C37×#2473C2semidirect
29. C37×#2329C2semidirect
31. C2×C37×#387C2semidirect
601. #36798C37direct (N × H)
653. #2851C2×C37semidirect
654. #2798C2×C37semidirect
655. #2794C2×C37semidirect
656. #2794C2×C37semidirect
657. #2789C2×C37semidirect
658. #2776C2×C37semidirect
659. #2769C2×C37semidirect
660. #2766C2×C37semidirect
661. #2758C2×C37semidirect
662. #2754C2×C37semidirect
663. #2747C2×C37semidirect
664. #2744C2×C37semidirect
665. #2739C2×C37semidirect
666. #2722C2×C37semidirect
667. #2721C2×C37semidirect
668. #2721C2×C37semidirect
669. #2719C2×C37semidirect
670. #2646C2×C37semidirect
672. #2569C2×C37semidirect
675. #2505C2×C37semidirect
676. #2502C2×C37semidirect
679. #2473C2×C37semidirect
680. #2329C2×C37semidirect
682. C2×#387C2×C37semidirect
847. C37#36798direct (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×#28512
C37×#27982
C37×#27942
C37×#27892
C37×#27762
C37×#27692
C37×#27662
C37×#27582
C37×#27542
C37×#27472
C37×#27442
C37×#27392
C37×#27222
C37×#27212
C37×#27192
C37×#26462
C37×#26432
C37×#25692
C37×#25642
C37×#25102
C37×#25052
C37×#25022
C37×#24872
C37×#24812
C37×#24732
C37×#23292
C37×#23182
C2×C37×#3872
#3679837