Finite Group Databasebeta

← C37×#62027 #22683280

Subgroups — C37×#62027 #22683280

Order 9472.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3562C211yesmaximal, characteristic, complemented
2C37×#3513C211yesmaximal, characteristic, complemented
3C37×#3401C211yesmaximal, characteristic, complemented
4C37×#3396C211yesmaximal, characteristic, complemented
5C37×#3370C211yesmaximal, characteristic, complemented
6C37×#3360C211yesmaximal, characteristic, complemented
7C37×#3330C211yesmaximal, characteristic, complemented
8C37×#3327C211yesmaximal, characteristic, complemented
9C37×#3326C211yesmaximal, characteristic, complemented
10C37×#3317C211yesmaximal, characteristic, complemented
11C37×#3306C211yesmaximal, characteristic, complemented
12C37×#3297C211yesmaximal, characteristic, complemented
13C37×#3282C211yesmaximal, characteristic, complemented
14C37×#3274C211yesmaximal, characteristic, complemented
15C37×#3273C211yesmaximal, characteristic, complemented
16C37×#3273C211yesmaximal, characteristic, complemented
17C37×#3267C211yesmaximal, characteristic, complemented
18C37×#3265C211yesmaximal, characteristic, complemented
19C37×#3260C211yesmaximal, characteristic, complemented
20C37×#3257C211yesmaximal, characteristic, complemented
21C37×#3256C211yesmaximal, characteristic, complemented
22C37×#3225C211yesmaximal, characteristic, complemented
23C37×#3220C211yesmaximal, characteristic, complemented
24C37×#3212C211yesmaximal, characteristic, complemented
25C37×#3122C211yesmaximal, characteristic, complemented
26C37×#3120C211yesmaximal, characteristic, complemented
27C37×#3105C211yesmaximal, characteristic, complemented
28C37×#3045C211yesmaximal, characteristic, complemented
29C37×#3042C211yesmaximal, characteristic, complemented
30C37×#3036C211yesmaximal, characteristic, complemented
31C37×#2993C211yesmaximal, characteristic, complemented
32C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
33C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
34C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
35C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
36C2×#135×C37C2211yescharacteristic
37C22×SD16×C37C2211yescharacteristic, complemented
38C37×#562—21no—
39C37×#560—21no—
40C37×#559C2211yescharacteristic, complemented
41C37×#559C2211yescharacteristic, complemented
42C37×#556C2211yescharacteristic, complemented
43C37×#554C2211yescharacteristic, complemented
44C37×#553—21no—
45C37×#553—21no—
46C37×#553C2211yescharacteristic
47C37×#552C2211yescharacteristic, complemented
48C37×#551—21no—
49C37×#551—21no—
50C37×#551—21no—
51C37×#550C2211yescharacteristic
52C37×#548C2211yescharacteristic
53C37×#548C2211yescharacteristic, complemented
54C37×#547C2211yescharacteristic
55C37×#547C2211yescharacteristic, complemented
56C37×#546—21no—
57C37×#546C2211yescharacteristic
58C37×#546C2211yescharacteristic
59C37×#546C2211yescharacteristic, complemented
60C37×#546C2211yescharacteristic, complemented
61D42×C37C2211yescharacteristic, complemented
62C37×#542C2211yescharacteristic, complemented
63C37×#541C2211yescharacteristic, complemented
64C37×#540—21no—
65C37×#540C2211yescharacteristic
66C37×#540C2211yescharacteristic, complemented
67C37×#539—21no—
68C37×#539—21no—
69C37×#538—21no—
70C37×#538—21no—
71C37×#538—21no—
72C37×#536C2211yescharacteristic, complemented
73C37×#535C2211yescharacteristic, complemented
74C37×#532C2211yescharacteristic, complemented
75C37×#529C2211yescharacteristic
76C37×#529C2211yescharacteristic, complemented
77C37×#529C2211yescharacteristic, complemented
78C37×#525—21no—
79C2×#123×C37—21no—
80C37×#520C2211yescharacteristic
81C37×#518C2211yescharacteristic, complemented
82C2×C4×D4×C37C2211yescharacteristic, complemented
83C37×#497C2211yescharacteristic, complemented
84C37×#496C2211yescharacteristic
85C37×#495C2211yescharacteristic, complemented
86C37×#495C2211yescharacteristic, complemented
87C37×#495C2211yescharacteristic, complemented
88C37×#493C2211yescharacteristic
89C37×#490C2211yescharacteristic, complemented
90C37×#489C2211yescharacteristic, complemented
91C37×#488C2211yescharacteristic, complemented
92C37×#488C2211yescharacteristic, complemented
93C37×#488C2211yescharacteristic, complemented
94C37×#487C2211yescharacteristic, complemented
95C37×#484C2211yescharacteristic, complemented
96C37×#484C2211yescharacteristic, complemented
97C37×#483C2211yescharacteristic, complemented
98C37×#482C2211yescharacteristic, complemented
99C37×#482C2211yescharacteristic, complemented
100C37×#481C2211yescharacteristic, complemented
101C37×#479C2211yescharacteristic, complemented
102C37×#479C2211yescharacteristic, complemented
103C37×#479C2211yescharacteristic, complemented
104C37×#479C2211yescharacteristic, complemented
105C37×#478C2211yescharacteristic, complemented
106C37×#478C2211yescharacteristic, complemented
107C37×#478C2211yescharacteristic, complemented
108C37×#478C2211yescharacteristic, complemented
109C37×#476C2211yescharacteristic, complemented
110C37×#474C2211yescharacteristic, complemented
111C37×#470C2211yescharacteristic, complemented
112C37×#469C2211yescharacteristic
113C37×#469C2211yescharacteristic, complemented
114C37×#468C2211yescharacteristic, complemented
115C37×#468C2211yescharacteristic, complemented
116C37×#468C2211yescharacteristic, complemented
117C37×#468C2211yescharacteristic, complemented
118C37×#468C2211yescharacteristic, complemented
119C37×#466C2211yescharacteristic
120C37×#465C2211yescharacteristic, complemented
121C37×#465C2211yescharacteristic, complemented
122C37×#465C2211yescharacteristic, complemented
123C37×#464C2211yescharacteristic, complemented
124C37×#464C2211yescharacteristic, complemented
125C37×#464C2211yescharacteristic, complemented
126C37×#463C2211yescharacteristic
127C37×#463C2211yescharacteristic
128C37×#463C2211yescharacteristic
129C37×#463C2211yescharacteristic
130C37×#463C2211yescharacteristic, complemented
131C37×#463C2211yescharacteristic, complemented
132C37×#463C2211yescharacteristic, complemented
133C37×#463C2211yescharacteristic, complemented
134C37×#463C2211yescharacteristic, complemented
135C37×#463C2211yescharacteristic, complemented
136C37×#463C2211yescharacteristic, complemented
137C37×#463C2211yescharacteristic, complemented
138C37×#463C2211yescharacteristic, complemented
139C37×#462C2211yescharacteristic, complemented
140C37×#461C2211yescharacteristic, complemented
141C37×#461C2211yescharacteristic, complemented
142C37×#461C2211yescharacteristic, complemented
143C37×#461C2211yescharacteristic, complemented
144C37×#461C2211yescharacteristic, complemented
145C37×#460C2211yescharacteristic, complemented
146C37×#460C2211yescharacteristic, complemented
147C37×#460C2211yescharacteristic, complemented
148C37×#460C2211yescharacteristic, complemented
149C37×#459C2211yescharacteristic
150C37×#459C2211yescharacteristic
151C37×#459C2211yescharacteristic, complemented
152C37×#459C2211yescharacteristic, complemented
153C37×#452C2211yescharacteristic
154C37×#452C2211yescharacteristic
155C37×#452C2211yescharacteristic, complemented
156C37×#452C2211yescharacteristic, complemented
157C37×#452C2211yescharacteristic, complemented
158C37×#451C2211yescharacteristic, complemented
159C37×#450C2211yescharacteristic, complemented
160C37×#449C2211yescharacteristic
161C37×#449C2211yescharacteristic
162C37×#449C2211yescharacteristic, complemented
163C37×#449C2211yescharacteristic, complemented
164C37×#449C2211yescharacteristic, complemented
165C37×#448C2211yescharacteristic, complemented
166C37×#447C2211yescharacteristic
167C37×#447C2211yescharacteristic
168C37×#447C2211yescharacteristic, complemented
169C37×#447C2211yescharacteristic, complemented
170C37×#447C2211yescharacteristic, complemented
171C37×#446C2211yescharacteristic, complemented
172C8×Q8×C37C2211yescharacteristic, complemented
173C37×#442C2211yescharacteristic, complemented
174C37×#442C2211yescharacteristic, complemented
175C37×#441C2211yescharacteristic, complemented
176C37×#440C2211yescharacteristic, complemented
177C4×Q16×C37C2211yescharacteristic, complemented
178C4×SD16×C37C2211yescharacteristic, complemented
179C4×SD16×C37C2211yescharacteristic, complemented
180C4×SD16×C37C2211yescharacteristic, complemented
181C4×D8×C37C2211yescharacteristic
182C4×D8×C37C2211yescharacteristic
183C4×D8×C37C2211yescharacteristic, complemented
184C4×D8×C37C2211yescharacteristic, complemented
185C37×#436C2211yescharacteristic, complemented
186C37×#436C2211yescharacteristic, complemented
187C37×#436C2211yescharacteristic, complemented
188C37×#435C2211yescharacteristic, complemented
189C37×#435C2211yescharacteristic, complemented
190C8×D4×C37C2211yescharacteristic, complemented
191C37×#433C2211yescharacteristic, complemented
192C37×#433C2211yescharacteristic, complemented
193C37×#431C2211yescharacteristic, complemented
194C37×#424C2211yescharacteristic, complemented
195C37×#424C2211yescharacteristic, complemented
196C37×#423C2211yescharacteristic, complemented
197C37×#419C2211yescharacteristic, complemented
198C37×#417C2211yescharacteristic, complemented
199C37×#417C2211yescharacteristic, complemented
200C37×#417C2211yescharacteristic, complemented
201C37×#416C2211yescharacteristic, complemented
202C2×#102×C37C2211yescharacteristic, complemented
203C2×#41×C37—21no—
204C2×#41×C37C2311yescharacteristic
205C2×#41×C37C2311yescharacteristic
206C2×#41×C37C2311yescharacteristic
207C2×#41×C37C2311yescharacteristic
208C2×#41×C37C2311yescharacteristic
209C22×Q8×C37C2311yescharacteristic
210C22×D4×C37—21no—
211C22×D4×C37C2311yescharacteristic
212C22×D4×C37C2311yescharacteristic
213C22×D4×C37C2311yescharacteristic
214C23×C4×C37—21no—
215AGL(1,ℤ/8)×C37—42no—
216AGL(1,ℤ/8)×C37—42no—
217AGL(1,ℤ/8)×C37—42no—
218AGL(1,ℤ/8)×C37—42no—
219#135×C37—42no—
220C2×Q16×C37C2311yescharacteristic
221C2×Q16×C37C2311yescharacteristic
222C2×Q16×C37C2311yescharacteristic
223C2×SD16×C37—42no—
224C2×SD16×C37C2311yescharacteristic
225C2×SD16×C37C2311yescharacteristic
226C2×SD16×C37C2311yescharacteristic
227C2×SD16×C37C2311yescharacteristic
228C2×SD16×C37C2311yescharacteristic
229C2×SD16×C37C2311yescharacteristic
230C2×SD16×C37C2311yescharacteristic
231C2×SD16×C37C2311yescharacteristic
232C2×SD16×C37C2311yescharacteristic
233C2×SD16×C37C2311yescharacteristic
234C2×SD16×C37C2311yescharacteristic
235C2×SD16×C37C2311yescharacteristic
236C2×D8×C37C2311yescharacteristic
237C2×D8×C37C2311yescharacteristic
238C2×D8×C37C2311yescharacteristic
239C2×D8×C37C2311yescharacteristic
240C2×D8×C37C2311yescharacteristic
241C2×D8×C37C2311yescharacteristic
242C2×D8×C37C2311yescharacteristic
243C2×D8×C37C2311yescharacteristic
244C2×D8×C37C2311yescharacteristic
245C2×M16×C37C2311yescharacteristic
246C2×M16×C37C2311yescharacteristic
247C2×M16×C37C2311yescharacteristic
248C2×M16×C37C2311yescharacteristic
249C22×C8×C37C2311yescharacteristic
250C22×C8×C37C2311yescharacteristic
251C4⋊Q8×C37C2311yescharacteristic
252C4⋊Q8×C37C2311yescharacteristic
253C4⋊Q8×C37C2311yescharacteristic
254#127×C37—21no—
255#127×C37C2311yescharacteristic
256#127×C37C2311yescharacteristic
257#127×C37C2311yescharacteristic
258#126×C37—21no—
259#126×C37—21no—
260#126×C37—21no—
261#126×C37—21no—
262#126×C37—21no—
263#126×C37—21no—
264#126×C37—21no—
265#126×C37—21no—
266#126×C37—21no—
267#126×C37D411yescharacteristic
268#126×C37D411yescharacteristic
269#125×C37—21no—
270#125×C37—21no—
271#125×C37—21no—
272#125×C37D411yescharacteristic
273#125×C37C2311yescharacteristic
274#125×C37C2311yescharacteristic
275#125×C37C2311yescharacteristic
276#124×C37—21no—
277#124×C37—21no—
278#124×C37—21no—
279#124×C37—21no—
280#124×C37—21no—
281#124×C37D411yescharacteristic
282#124×C37C2311yescharacteristic
283#124×C37C2311yescharacteristic
284#124×C37C2311yescharacteristic
285#124×C37C2311yescharacteristic
286#124×C37C2311yescharacteristic
287#124×C37C2311yescharacteristic
288#124×C37C2311yescharacteristic
289#123×C37—21no—
290#123×C37—21no—
291#123×C37—21no—
292#123×C37—21no—
293#123×C37—21no—
294#123×C37—21no—
295#123×C37—21no—
296#123×C37—21no—
297#123×C37—21no—
298#123×C37—21no—
299#123×C37—21no—
300#123×C37—21no—
301#123×C37—21no—
302#123×C37—21no—
303#123×C37—21no—
304#123×C37—21no—
305#123×C37—21no—
306#123×C37—21no—
307#123×C37—21no—
308#123×C37—21no—
309#123×C37—21no—
310#123×C37—21no—
311#123×C37—21no—
312#123×C37D411yescharacteristic
313#123×C37D411yescharacteristic
314C22⋊Q8×C37—21no—
315C22⋊Q8×C37—21no—
316C22⋊Q8×C37—21no—
317C22⋊Q8×C37—21no—
318C22⋊Q8×C37—21no—
319C22⋊Q8×C37—21no—
320C22⋊Q8×C37—21no—
321C22⋊Q8×C37—21no—
322C22⋊Q8×C37—21no—
323C22⋊Q8×C37—21no—
324C22⋊Q8×C37D411yescharacteristic
325C22⋊Q8×C37C2311yescharacteristic
326C22⋊Q8×C37C2311yescharacteristic
327C22⋊Q8×C37C2311yescharacteristic
328C22⋊Q8×C37C2311yescharacteristic
329C22⋊Q8×C37C2311yescharacteristic
330#121×C37—21no—
331#121×C37—21no—
332#121×C37—21no—
333#121×C37—21no—
334#121×C37—21no—
335#121×C37—21no—
336#121×C37—21no—
337#121×C37—21no—
338#121×C37—21no—
339#121×C37—21no—
340#121×C37—21no—
341#121×C37—21no—
342#121×C37—21no—
343#121×C37—21no—
344#121×C37—21no—
345#121×C37—21no—
346#121×C37—21no—
347#121×C37—21no—
348#121×C37—21no—
349#121×C37D411yescharacteristic
350#121×C37C2311yescharacteristic
351#121×C37C2311yescharacteristic
352#121×C37C2311yescharacteristic
353#121×C37C2311yescharacteristic
354#121×C37C2311yescharacteristic
355#121×C37C2311yescharacteristic
356#121×C37C2311yescharacteristic
357#120×C37—21no—
358#120×C37—21no—
359#120×C37—21no—
360#120×C37—21no—
361#120×C37—21no—
362#120×C37—21no—
363#120×C37—21no—
364#120×C37—21no—
365C4×Q8×C37C2311yescharacteristic
366C4×Q8×C37C2311yescharacteristic
367C4×Q8×C37C2311yescharacteristic
368C4×Q8×C37C2311yescharacteristic
369C4×Q8×C37C2311yescharacteristic
370C4×Q8×C37C2311yescharacteristic
371C4×D4×C37—21no—
372C4×D4×C37—21no—
373C4×D4×C37—21no—
374C4×D4×C37—21no—
375C4×D4×C37—21no—
376C4×D4×C37—21no—
377C4×D4×C37—21no—
378C4×D4×C37—21no—
379C4×D4×C37—21no—
380C4×D4×C37—21no—
381C4×D4×C37—21no—
382C4×D4×C37—21no—
383C4×D4×C37—21no—
384C4×D4×C37—21no—
385C4×D4×C37—21no—
386C4×D4×C37—21no—
387C4×D4×C37C2311yescharacteristic
388C4×D4×C37C2311yescharacteristic
389C4×D4×C37C2311yescharacteristic
390C4×D4×C37C2311yescharacteristic
391C4×D4×C37C2311yescharacteristic
392C4×D4×C37C2311yescharacteristic
393C4×D4×C37C2311yescharacteristic
394C4×D4×C37C2311yescharacteristic
395C4×D4×C37C2311yescharacteristic
396C4×D4×C37C2311yescharacteristic
397C4×D4×C37C2311yescharacteristic
398C4×D4×C37C2311yescharacteristic
399C4×D4×C37C2311yescharacteristic
400C4×D4×C37C2311yescharacteristic
401#117×C37—21no—
402#117×C37—21no—
403#117×C37—21no—
404#117×C37—21no—
405#117×C37—21no—
406#117×C37C2311yescharacteristic
407#117×C37C2311yescharacteristic
408#117×C37C2311yescharacteristic
409C2×C4⋊C4×C37—21no—
410C2×C4⋊C4×C37—21no—
411C2×C4⋊C4×C37—21no—
412C2×C4⋊C4×C37C2311yescharacteristic
413C2×C4⋊C4×C37C2311yescharacteristic
414C2×C22⋊C4×C37—21no—
415C2×C22⋊C4×C37—21no—
416C2×C22⋊C4×C37—21no—
417C2×C22⋊C4×C37—21no—
418C2×C22⋊C4×C37—21no—
419C2×C22⋊C4×C37—21no—
420C2×C22⋊C4×C37—21no—
421C2×C42×C37C2311yescharacteristic
422#107×C37C2311yescharacteristic
423#107×C37C2311yescharacteristic
424#107×C37C2311yescharacteristic
425#107×C37C2311yescharacteristic
426#106×C37C2311yescharacteristic
427#106×C37C2311yescharacteristic
428#106×C37C2311yescharacteristic
429#106×C37C2311yescharacteristic
430C4⋊C8×C37C2311yescharacteristic
431C4⋊C8×C37C2311yescharacteristic
432C4⋊C8×C37C2311yescharacteristic
433C4⋊C8×C37C2311yescharacteristic
434C4⋊C8×C37C2311yescharacteristic
435C4⋊C8×C37C2311yescharacteristic
436C4⋊C8×C37C2311yescharacteristic
437C4⋊C8×C37C2311yescharacteristic
438C4⋊C8×C37C2311yescharacteristic
439C4⋊C8×C37C2311yescharacteristic
440#103×C37C2311yescharacteristic
441#103×C37C2311yescharacteristic
442#103×C37C2311yescharacteristic
443#103×C37C2311yescharacteristic
444#103×C37C2311yescharacteristic
445#103×C37C2311yescharacteristic
446#103×C37C2311yescharacteristic
447#103×C37C2311yescharacteristic
448#103×C37C2311yescharacteristic
449#103×C37C2311yescharacteristic
450#103×C37C2311yescharacteristic
451#103×C37C2311yescharacteristic
452#103×C37C2311yescharacteristic
453#103×C37C2311yescharacteristic
454#102×C37C2311yescharacteristic
455#102×C37C2311yescharacteristic
456#102×C37C2311yescharacteristic
457#102×C37C2311yescharacteristic
458#102×C37C2311yescharacteristic
459#102×C37C2311yescharacteristic
460#102×C37C2311yescharacteristic
461#102×C37C2311yescharacteristic
462#102×C37C2311yescharacteristic
463#102×C37C2311yescharacteristic
464#102×C37C2311yescharacteristic
465#102×C37C2311yescharacteristic
466#102×C37C2311yescharacteristic
467#102×C37C2311yescharacteristic
468#102×C37C2311yescharacteristic
469#102×C37C2311yescharacteristic
470#102×C37C2311yescharacteristic
471#102×C37C2311yescharacteristic
472C22⋊C8×C37C2311yescharacteristic
473C22⋊C8×C37C2311yescharacteristic
474C22⋊C8×C37C2311yescharacteristic
475C22⋊C8×C37C2311yescharacteristic
476C22⋊C8×C37C2311yescharacteristic
477C22⋊C8×C37C2311yescharacteristic
478#97×C37C2311yescharacteristic
479#97×C37C2311yescharacteristic
480C4×C8×C37C2311yescharacteristic
481C4×C8×C37C2311yescharacteristic
482C4×C8×C37C2311yescharacteristic
483C4×C8×C37C2311yescharacteristic
484C24×C37—21no—
485C24×C37—21no—
486C24×C37—21no—
487#41×C37—22no—
488#41×C37—41no—
489#41×C37—41no—
490#41×C37—41no—
491#41×C37—41no—
492#41×C37—41no—
493#41×C37—41no—
494#41×C37—41no—
495#41×C37—41no—
496#41×C37—41no—
497#41×C37—82no—
498C2×Q8×C37—21no—
499C2×Q8×C37—21no—
500C2×Q8×C37—41no—
501C2×Q8×C37—41no—
502C2×Q8×C37C2×D411yescharacteristic
503C2×Q8×C37C2411yescharacteristic
504C2×Q8×C37C2411yescharacteristic
505C2×Q8×C37C2411yescharacteristic
506C2×Q8×C37C2411yescharacteristic
507C2×D4×C37—22no—
508C2×D4×C37—22no—
509C2×D4×C37—21no—
510C2×D4×C37—21no—
511C2×D4×C37—21no—
512C2×D4×C37—21no—
513C2×D4×C37—21no—
514C2×D4×C37—21no—
515C2×D4×C37—21no—
516C2×D4×C37—21no—
517C2×D4×C37—21no—
518C2×D4×C37—21no—
519C2×D4×C37—21no—
520C2×D4×C37—21no—
521C2×D4×C37—21no—
522C2×D4×C37—21no—
523C2×D4×C37—21no—
524C2×D4×C37—21no—
525C2×D4×C37—21no—
526C2×D4×C37—21no—
527C2×D4×C37—21no—
528C2×D4×C37—21no—
529C2×D4×C37—21no—
530C2×D4×C37—41no—
531C2×D4×C37—41no—
532C2×D4×C37—41no—
533C2×D4×C37—41no—
534C2×D4×C37—82no—
535C2×D4×C37C2×D411yescharacteristic
536C2×D4×C37C2×D411yescharacteristic
537C2×D4×C37C2×D411yescharacteristic
538C2×D4×C37C2411yescharacteristic
539C2×D4×C37C2411yescharacteristic
540C2×D4×C37C2411yescharacteristic
541C2×D4×C37C2411yescharacteristic
542C2×D4×C37C2411yescharacteristic
543C2×D4×C37C2411yescharacteristic
544C22×C4×C37—21no—
545C22×C4×C37—21no—
546C22×C4×C37—21no—
547C22×C4×C37—21no—
548C22×C4×C37—21no—
549C22×C4×C37—21no—
550C22×C4×C37—21no—
551C22×C4×C37—21no—
552C22×C4×C37—21no—
553C22×C4×C37—21no—
554C22×C4×C37—21no—
555C22×C4×C37—21no—
556C22×C4×C37—21no—
557C22×C4×C37—21no—
558C22×C4×C37—21no—
559C22×C4×C37—21no—
560C22×C4×C37—21no—
561C22×C4×C37—21no—
562C22×C4×C37—21no—
563C22×C4×C37—82no—
564C22×C4×C37C2×D411yescharacteristic
565C22×C4×C37C2×D411yescharacteristic
566C22×C4×C37C2411yescharacteristic
567C22×C4×C37C2411yescharacteristic
568C22×C4×C37C2411yescharacteristic
569Q16×C37—41no—
570Q16×C37—41no—
571Q16×C37—41no—
572SD16×C37—22no—
573SD16×C37—22no—
574SD16×C37—22no—
575SD16×C37—41no—
576SD16×C37—41no—
577SD16×C37—41no—
578SD16×C37—41no—
579SD16×C37—41no—
580SD16×C37—41no—
581SD16×C37—41no—
582SD16×C37—41no—
583SD16×C37—41no—
584D8×C37—22no—
585D8×C37—22no—
586D8×C37—22no—
587D8×C37—41no—
588D8×C37—41no—
589D8×C37—41no—
590D8×C37—41no—
591D8×C37—41no—
592D8×C37—41no—
593M16×C37—41no—
594M16×C37—41no—
595M16×C37—41no—
596M16×C37—41no—
597C2×C8×C37—41no—
598C2×C8×C37—41no—
599C2×C8×C37C2411yescharacteristic
600C2×C8×C37C2411yescharacteristic
601C2×C8×C37C2411yescharacteristic
602C2×C8×C37C2411yescharacteristic
603C2×C8×C37C2411yescharacteristic
604C2×C8×C37C2411yescharacteristic
605C2×C8×C37C2411yescharacteristic
606C2×C8×C37C2411yescharacteristic
607C4⋊C4×C37—21no—
608C4⋊C4×C37—21no—
609C4⋊C4×C37—21no—
610C4⋊C4×C37—21no—
611C4⋊C4×C37—21no—
612C4⋊C4×C37—21no—
613C4⋊C4×C37—21no—
614C4⋊C4×C37—21no—
615C4⋊C4×C37—21no—
616C4⋊C4×C37—21no—
617C4⋊C4×C37—21no—
618C4⋊C4×C37—21no—
619C4⋊C4×C37—21no—
620C4⋊C4×C37—21no—
621C4⋊C4×C37—21no—
622C4⋊C4×C37—21no—
623C4⋊C4×C37—21no—
624C4⋊C4×C37—21no—
625C4⋊C4×C37—21no—
626C4⋊C4×C37—21no—
627C4⋊C4×C37—21no—
628C4⋊C4×C37—21no—
629C4⋊C4×C37—21no—
630C4⋊C4×C37C2×D411yescharacteristic
631C4⋊C4×C37C2×D411yescharacteristic
632C4⋊C4×C37C2×D411yescharacteristic
633C4⋊C4×C37C2×D411yescharacteristic
634C4⋊C4×C37C2×D411yescharacteristic
635C4⋊C4×C37C2×D411yescharacteristic
636C4⋊C4×C37C2×D411yescharacteristic
637C4⋊C4×C37C2×D411yescharacteristic
638C4⋊C4×C37C2×D411yescharacteristic
639C4⋊C4×C37C2×D411yescharacteristic
640C4⋊C4×C37C2411yescharacteristic
641C4⋊C4×C37C2411yescharacteristic
642C4⋊C4×C37C2411yescharacteristic
643C4⋊C4×C37C2411yescharacteristic
644C4⋊C4×C37C2411yescharacteristic
645C4⋊C4×C37C2411yescharacteristic
646C22⋊C4×C37—21no—
647C22⋊C4×C37—21no—
648C22⋊C4×C37—21no—
649C22⋊C4×C37—21no—
650C22⋊C4×C37—21no—
651C22⋊C4×C37—21no—
652C22⋊C4×C37—21no—
653C22⋊C4×C37—21no—
654C22⋊C4×C37—21no—
655C22⋊C4×C37—21no—
656C22⋊C4×C37—21no—
657C22⋊C4×C37—21no—
658C22⋊C4×C37—21no—
659C22⋊C4×C37—21no—
660C22⋊C4×C37—21no—
661C22⋊C4×C37—21no—
662C22⋊C4×C37—21no—
663C22⋊C4×C37—21no—
664C22⋊C4×C37—21no—
665C22⋊C4×C37—21no—
666C22⋊C4×C37—21no—
667C22⋊C4×C37—21no—
668C22⋊C4×C37—21no—
669C22⋊C4×C37—21no—
670C22⋊C4×C37—21no—
671C22⋊C4×C37—21no—
672C22⋊C4×C37—21no—
673C22⋊C4×C37—21no—
674C22⋊C4×C37—21no—
675C22⋊C4×C37—21no—
676C22⋊C4×C37—21no—
677C22⋊C4×C37—21no—
678C22⋊C4×C37—21no—
679C22⋊C4×C37—21no—
680C22⋊C4×C37—21no—
681C22⋊C4×C37—21no—
682C22⋊C4×C37—21no—
683C22⋊C4×C37—21no—
684C22⋊C4×C37C2×D411yescharacteristic
685C22⋊C4×C37C2×D411yescharacteristic
686C22⋊C4×C37C2×D411yescharacteristic
687C22⋊C4×C37C2×D411yescharacteristic
688C22⋊C4×C37C2×D411yescharacteristic
689C22⋊C4×C37C2×D411yescharacteristic
690C22⋊C4×C37C2×D411yescharacteristic
691C22⋊C4×C37C2×D411yescharacteristic
692C22⋊C4×C37C2×D411yescharacteristic
693C22⋊C4×C37C2×D411yescharacteristic
694C42×C37—21no—
695C42×C37—21no—
696C42×C37—21no—
697C42×C37—21no—
698C42×C37—21no—
699C42×C37—21no—
700C42×C37C2×D411yescharacteristic
701C42×C37C2×D411yescharacteristic
702C42×C37C2411yescharacteristic
703C42×C37C2411yescharacteristic
704C42×C37C2411yescharacteristic
705C42×C37C2411yescharacteristic
706C23×C37—21no—
707C23×C37—21no—
708C23×C37—21no—
709C23×C37—21no—
710C23×C37—21no—
711C23×C37—21no—
712C23×C37—42no—
713C23×C37—42no—
714C23×C37—42no—
715C23×C37—81no—
716C23×C37—81no—
717C23×C37—81no—
718C23×C37—81no—
719C23×C37—81no—
720C23×C37—81no—
721C23×C37C22×D411yescharacteristic
722C23×C37C22×D411yescharacteristic
723C23×C37C22×D411yescharacteristic
724Q8×C37—21no—
725Q8×C37—21no—
726Q8×C37—21no—
727Q8×C37—21no—
728Q8×C37—21no—
729Q8×C37—21no—
730Q8×C37—21no—
731Q8×C37—21no—
732Q8×C37—41no—
733Q8×C37—81no—
734Q8×C37—81no—
735D4×C37—21no—
736D4×C37—21no—
737D4×C37—21no—
738D4×C37—21no—
739D4×C37—21no—
740D4×C37—21no—
741D4×C37—21no—
742D4×C37—21no—
743D4×C37—21no—
744D4×C37—21no—
745D4×C37—21no—
746D4×C37—41no—
747D4×C37—41no—
748D4×C37—41no—
749D4×C37—42no—
750D4×C37—42no—
751D4×C37—42no—
752D4×C37—42no—
753D4×C37—81no—
754D4×C37—81no—
755D4×C37—81no—
756D4×C37—81no—
757D4×C37—81no—
758D4×C37—81no—
759D4×C37—81no—
760D4×C37—81no—
761D4×C37—81no—
762D4×C37—81no—
763D4×C37—81no—
764D4×C37—81no—
765D4×C37—81no—
766D4×C37—81no—
767D4×C37—81no—
768D4×C37—81no—
769D4×C37—81no—
770D4×C37H(5,𝔽2)12yes—
771C2×C4×C37—21no—
772C2×C4×C37—21no—
773C2×C4×C37—21no—
774C2×C4×C37—21no—
775C2×C4×C37—21no—
776C2×C4×C37—21no—
777C2×C4×C37—21no—
778C2×C4×C37—21no—
779C2×C4×C37—21no—
780C2×C4×C37—21no—
781C2×C4×C37—21no—
782C2×C4×C37—21no—
783C2×C4×C37—21no—
784C2×C4×C37—21no—
785C2×C4×C37—21no—
786C2×C4×C37—21no—
787C2×C4×C37—41no—
788C2×C4×C37—41no—
789C2×C4×C37—42no—
790C2×C4×C37—42no—
791C2×C4×C37—81no—
792C2×C4×C37—81no—
793C2×C4×C37—81no—
794C2×C4×C37—81no—
795C2×C4×C37—81no—
796C2×C4×C37—81no—
797C2×C4×C37—81no—
798C2×C4×C37—81no—
799C2×C4×C37—81no—
800C2×C4×C37—81no—
801C2×C4×C37—81no—
802C2×C4×C37—81no—
803C2×C4×C37—81no—
804C2×C4×C37—81no—
805C2×C4×C37—81no—
806C2×C4×C37—81no—
807C2×C4×C37—81no—
808C2×C4×C37C22×D411yescharacteristic
809C2×C4×C37C22×D411yescharacteristic
810C2×C4×C37C22×D411yescharacteristic
811C2×C4×C37C22×D411yescharacteristic
812C2×C4×C37C22×D411yescharacteristic
813C2×C4×C37C22×D411yescharacteristic
814C2×C4×C37C22×D411yescharacteristic
815C2×C4×C37C22×D411yescharacteristic
816C2×C4×C37C22×D411yescharacteristic
817C2×C4×C37C22×D411yescharacteristic
818C2×C4×C37C22×D411yescharacteristic
819C2×C4×C37C2511yescharacteristic
820C8×C37—21no—
821C8×C37—21no—
822C8×C37—21no—
823C8×C37—21no—
824C8×C37—21no—
825C8×C37—21no—
826C8×C37—21no—
827C8×C37—21no—
828#62027C3711yesmaximal, characteristic, direct product factor, Sylow
829C22×C37—21no—
830C22×C37—21no—
831C22×C37—21no—
832C22×C37—21no—
833C22×C37—21no—
834C22×C37—21no—
835C22×C37—21no—
836C22×C37—21no—
837C22×C37—21no—
838C22×C37—22no—
839C22×C37—41no—
840C22×C37—41no—
841C22×C37—41no—
842C22×C37—41no—
843C22×C37—41no—
844C22×C37—41no—
845C22×C37—41no—
846C22×C37—41no—
847C22×C37—41no—
848C22×C37—41no—
849C22×C37—41no—
850C22×C37—41no—
851C22×C37—41no—
852C22×C37—41no—
853C22×C37—41no—
854C22×C37—41no—
855C22×C37—41no—
856C22×C37—84no—
857C22×C37—162no—
858C22×C37—162no—
859C22×C37C23×D411yescharacteristic
860C4×C37—21no—
861C4×C37—21no—
862C4×C37—21no—
863C4×C37—21no—
864C4×C37—21no—
865C4×C37—21no—
866C4×C37—21no—
867C4×C37—21no—
868C4×C37—21no—
869C4×C37—21no—
870C4×C37—21no—
871C4×C37—41no—
872C4×C37—41no—
873C4×C37—41no—
874C4×C37—41no—
875C4×C37—41no—
876C4×C37—41no—
877C4×C37—41no—
878C4×C37—41no—
879C4×C37—41no—
880C4×C37—41no—
881C4×C37C2×H(5,𝔽2)11yescharacteristic
882C4×C37#58511yescharacteristic
883#3562C2×C3711yescharacteristic, complemented
884#3513C2×C3711yescharacteristic, complemented
885#3401C2×C3711yescharacteristic, complemented
886#3396C2×C3711yescharacteristic, complemented
887#3370C2×C3711yescharacteristic, complemented
888#3360C2×C3711yescharacteristic, complemented
889#3330C2×C3711yescharacteristic, complemented
890#3327C2×C3711yescharacteristic, complemented
891#3326C2×C3711yescharacteristic, complemented
892#3317C2×C3711yescharacteristic, complemented
893#3306C2×C3711yescharacteristic, complemented
894#3297C2×C3711yescharacteristic, complemented
895#3282C2×C3711yescharacteristic, complemented
896#3274C2×C3711yescharacteristic, complemented
897#3273C2×C3711yescharacteristic, complemented
898#3273C2×C3711yescharacteristic, complemented
899#3267C2×C3711yescharacteristic, complemented
900#3265C2×C3711yescharacteristic, complemented
901#3260C2×C3711yescharacteristic, complemented
902#3257C2×C3711yescharacteristic, complemented
903#3256C2×C3711yescharacteristic, complemented
904#3225C2×C3711yescharacteristic, complemented
905#3220C2×C3711yescharacteristic, complemented
906#3212C2×C3711yescharacteristic, complemented
907#3122C2×C3711yescharacteristic, complemented
908#3120C2×C3711yescharacteristic, complemented
909#3105C2×C3711yescharacteristic, complemented
910#3045C2×C3711yescharacteristic, complemented
911#3042C2×C3711yescharacteristic, complemented
912#3036C2×C3711yescharacteristic, complemented
913#2993C2×C3711yescharacteristic, complemented
914C2×C37—41no—
915C2×C37—41no—
916C2×C37—41no—
917C2×C37—42no—
918C2×C37—81no—
919C2×C37—81no—
920C2×C37—81no—
921C2×C37—81no—
922C2×C37—81no—
923C2×C37#348811yescharacteristic
924C2×C37#358411yescharacteristic
925C2×C37#358511yescharacteristic
926C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
927C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
928C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
929C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
930C2×#135C22×C3711yescharacteristic
931C22×SD16C22×C3711yescharacteristic, complemented
932#562—21no—
933#560—21no—
934#559C22×C3711yescharacteristic, complemented
935#559C22×C3711yescharacteristic, complemented
936#556C22×C3711yescharacteristic, complemented
937#554C22×C3711yescharacteristic, complemented
938#553—21no—
939#553—21no—
940#553C22×C3711yescharacteristic
941#552C22×C3711yescharacteristic, complemented
942#551—21no—
943#551—21no—
944#551—21no—
945#550C22×C3711yescharacteristic
946#548C22×C3711yescharacteristic
947#548C22×C3711yescharacteristic, complemented
948#547C22×C3711yescharacteristic
949#547C22×C3711yescharacteristic, complemented
950#546—21no—
951#546C22×C3711yescharacteristic
952#546C22×C3711yescharacteristic
953#546C22×C3711yescharacteristic, complemented
954#546C22×C3711yescharacteristic, complemented
955D42C22×C3711yescharacteristic, complemented
956#542C22×C3711yescharacteristic, complemented
957#541C22×C3711yescharacteristic, complemented
958#540—21no—
959#540C22×C3711yescharacteristic
960#540C22×C3711yescharacteristic, complemented
961#539—21no—
962#539—21no—
963#538—21no—
964#538—21no—
965#538—21no—
966#536C22×C3711yescharacteristic, complemented
967#535C22×C3711yescharacteristic, complemented
968#532C22×C3711yescharacteristic, complemented
969#529C22×C3711yescharacteristic
970#529C22×C3711yescharacteristic, complemented
971#529C22×C3711yescharacteristic, complemented
972#525—21no—
973C2×#123—21no—
974#520C22×C3711yescharacteristic
975#518C22×C3711yescharacteristic, complemented
976C2×C4×D4C22×C3711yescharacteristic, complemented
977#497C22×C3711yescharacteristic, complemented
978#496C22×C3711yescharacteristic
979#495C22×C3711yescharacteristic, complemented
980#495C22×C3711yescharacteristic, complemented
981#495C22×C3711yescharacteristic, complemented
982#493C22×C3711yescharacteristic
983#490C22×C3711yescharacteristic, complemented
984#489C22×C3711yescharacteristic, complemented
985#488C22×C3711yescharacteristic, complemented
986#488C22×C3711yescharacteristic, complemented
987#488C22×C3711yescharacteristic, complemented
988#487C22×C3711yescharacteristic, complemented
989#484C22×C3711yescharacteristic, complemented
990#484C22×C3711yescharacteristic, complemented
991#483C22×C3711yescharacteristic, complemented
992#482C22×C3711yescharacteristic, complemented
993#482C22×C3711yescharacteristic, complemented
994#481C22×C3711yescharacteristic, complemented
995#479C22×C3711yescharacteristic, complemented
996#479C22×C3711yescharacteristic, complemented
997#479C22×C3711yescharacteristic, complemented
998#479C22×C3711yescharacteristic, complemented
999#478C22×C3711yescharacteristic, complemented
1000#478C22×C3711yescharacteristic, complemented
1001#478C22×C3711yescharacteristic, complemented
1002#478C22×C3711yescharacteristic, complemented
1003#476C22×C3711yescharacteristic, complemented
1004#474C22×C3711yescharacteristic, complemented
1005#470C22×C3711yescharacteristic, complemented
1006#469C22×C3711yescharacteristic
1007#469C22×C3711yescharacteristic, complemented
1008#468C22×C3711yescharacteristic, complemented
1009#468C22×C3711yescharacteristic, complemented
1010#468C22×C3711yescharacteristic, complemented
1011#468C22×C3711yescharacteristic, complemented
1012#468C22×C3711yescharacteristic, complemented
1013#466C22×C3711yescharacteristic
1014#465C22×C3711yescharacteristic, complemented
1015#465C22×C3711yescharacteristic, complemented
1016#465C22×C3711yescharacteristic, complemented
1017#464C22×C3711yescharacteristic, complemented
1018#464C22×C3711yescharacteristic, complemented
1019#464C22×C3711yescharacteristic, complemented
1020#463C22×C3711yescharacteristic
1021#463C22×C3711yescharacteristic
1022#463C22×C3711yescharacteristic
1023#463C22×C3711yescharacteristic
1024#463C22×C3711yescharacteristic, complemented
1025#463C22×C3711yescharacteristic, complemented
1026#463C22×C3711yescharacteristic, complemented
1027#463C22×C3711yescharacteristic, complemented
1028#463C22×C3711yescharacteristic, complemented
1029#463C22×C3711yescharacteristic, complemented
1030#463C22×C3711yescharacteristic, complemented
1031#463C22×C3711yescharacteristic, complemented
1032#463C22×C3711yescharacteristic, complemented
1033#462C22×C3711yescharacteristic, complemented
1034#461C22×C3711yescharacteristic, complemented
1035#461C22×C3711yescharacteristic, complemented
1036#461C22×C3711yescharacteristic, complemented
1037#461C22×C3711yescharacteristic, complemented
1038#461C22×C3711yescharacteristic, complemented
1039#460C22×C3711yescharacteristic, complemented
1040#460C22×C3711yescharacteristic, complemented
1041#460C22×C3711yescharacteristic, complemented
1042#460C22×C3711yescharacteristic, complemented
1043#459C22×C3711yescharacteristic
1044#459C22×C3711yescharacteristic
1045#459C22×C3711yescharacteristic, complemented
1046#459C22×C3711yescharacteristic, complemented
1047#452C22×C3711yescharacteristic
1048#452C22×C3711yescharacteristic
1049#452C22×C3711yescharacteristic, complemented
1050#452C22×C3711yescharacteristic, complemented
1051#452C22×C3711yescharacteristic, complemented
1052#451C22×C3711yescharacteristic, complemented
1053#450C22×C3711yescharacteristic, complemented
1054#449C22×C3711yescharacteristic
1055#449C22×C3711yescharacteristic
1056#449C22×C3711yescharacteristic, complemented
1057#449C22×C3711yescharacteristic, complemented
1058#449C22×C3711yescharacteristic, complemented
1059#448C22×C3711yescharacteristic, complemented
1060#447C22×C3711yescharacteristic
1061#447C22×C3711yescharacteristic
1062#447C22×C3711yescharacteristic, complemented
1063#447C22×C3711yescharacteristic, complemented
1064#447C22×C3711yescharacteristic, complemented
1065#446C22×C3711yescharacteristic, complemented
1066C8×Q8C22×C3711yescharacteristic, complemented
1067#442C22×C3711yescharacteristic, complemented
1068#442C22×C3711yescharacteristic, complemented
1069#441C22×C3711yescharacteristic, complemented
1070#440C22×C3711yescharacteristic, complemented
1071C4×Q16C22×C3711yescharacteristic, complemented
1072C4×SD16C22×C3711yescharacteristic, complemented
1073C4×SD16C22×C3711yescharacteristic, complemented
1074C4×SD16C22×C3711yescharacteristic, complemented
1075C4×D8C22×C3711yescharacteristic
1076C4×D8C22×C3711yescharacteristic
1077C4×D8C22×C3711yescharacteristic, complemented
1078C4×D8C22×C3711yescharacteristic, complemented
1079#436C22×C3711yescharacteristic, complemented
1080#436C22×C3711yescharacteristic, complemented
1081#436C22×C3711yescharacteristic, complemented
1082#435C22×C3711yescharacteristic, complemented
1083#435C22×C3711yescharacteristic, complemented
1084C8×D4C22×C3711yescharacteristic, complemented
1085#433C22×C3711yescharacteristic, complemented
1086#433C22×C3711yescharacteristic, complemented
1087#431C22×C3711yescharacteristic, complemented
1088#424C22×C3711yescharacteristic, complemented
1089#424C22×C3711yescharacteristic, complemented
1090#423C22×C3711yescharacteristic, complemented
1091#419C22×C3711yescharacteristic, complemented
1092#417C22×C3711yescharacteristic, complemented
1093#417C22×C3711yescharacteristic, complemented
1094#417C22×C3711yescharacteristic, complemented
1095#416C22×C3711yescharacteristic, complemented
1096C2×#102C22×C3711yescharacteristic, complemented
1097C37#6202711yescharacteristic, direct product factor, Sylow
1098C2×#41—21no—
1099C2×#41C23×C3711yescharacteristic
1100C2×#41C23×C3711yescharacteristic
1101C2×#41C23×C3711yescharacteristic
1102C2×#41C23×C3711yescharacteristic
1103C2×#41C23×C3711yescharacteristic
1104C22×Q8C23×C3711yescharacteristic
1105C22×D4—21no—
1106C22×D4C23×C3711yescharacteristic
1107C22×D4C23×C3711yescharacteristic
1108C22×D4C23×C3711yescharacteristic
1109C23×C4—21no—
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—42no—
1112AGL(1,ℤ/8)—42no—
1113AGL(1,ℤ/8)—42no—
1114#135—42no—
1115C2×Q16C23×C3711yescharacteristic
1116C2×Q16C23×C3711yescharacteristic
1117C2×Q16C23×C3711yescharacteristic
1118C2×SD16—42no—
1119C2×SD16C23×C3711yescharacteristic
1120C2×SD16C23×C3711yescharacteristic
1121C2×SD16C23×C3711yescharacteristic
1122C2×SD16C23×C3711yescharacteristic
1123C2×SD16C23×C3711yescharacteristic
1124C2×SD16C23×C3711yescharacteristic
1125C2×SD16C23×C3711yescharacteristic
1126C2×SD16C23×C3711yescharacteristic
1127C2×SD16C23×C3711yescharacteristic
1128C2×SD16C23×C3711yescharacteristic
1129C2×SD16C23×C3711yescharacteristic
1130C2×SD16C23×C3711yescharacteristic
1131C2×D8C23×C3711yescharacteristic
1132C2×D8C23×C3711yescharacteristic
1133C2×D8C23×C3711yescharacteristic
1134C2×D8C23×C3711yescharacteristic
1135C2×D8C23×C3711yescharacteristic
1136C2×D8C23×C3711yescharacteristic
1137C2×D8C23×C3711yescharacteristic
1138C2×D8C23×C3711yescharacteristic
1139C2×D8C23×C3711yescharacteristic
1140C2×M16C23×C3711yescharacteristic
1141C2×M16C23×C3711yescharacteristic
1142C2×M16C23×C3711yescharacteristic
1143C2×M16C23×C3711yescharacteristic
1144C22×C8C23×C3711yescharacteristic
1145C22×C8C23×C3711yescharacteristic
1146C4⋊Q8C23×C3711yescharacteristic
1147C4⋊Q8C23×C3711yescharacteristic
1148C4⋊Q8C23×C3711yescharacteristic
1149#127—21no—
1150#127C23×C3711yescharacteristic
1151#127C23×C3711yescharacteristic
1152#127C23×C3711yescharacteristic
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126—21no—
1157#126—21no—
1158#126—21no—
1159#126—21no—
1160#126—21no—
1161#126—21no—
1162#126D4×C3711yescharacteristic
1163#126D4×C3711yescharacteristic
1164#125—21no—
1165#125—21no—
1166#125—21no—
1167#125D4×C3711yescharacteristic
1168#125C23×C3711yescharacteristic
1169#125C23×C3711yescharacteristic
1170#125C23×C3711yescharacteristic
1171#124—21no—
1172#124—21no—
1173#124—21no—
1174#124—21no—
1175#124—21no—
1176#124D4×C3711yescharacteristic
1177#124C23×C3711yescharacteristic
1178#124C23×C3711yescharacteristic
1179#124C23×C3711yescharacteristic
1180#124C23×C3711yescharacteristic
1181#124C23×C3711yescharacteristic
1182#124C23×C3711yescharacteristic
1183#124C23×C3711yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—21no—
1206#123—21no—
1207#123D4×C3711yescharacteristic
1208#123D4×C3711yescharacteristic
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—21no—
1216C22⋊Q8—21no—
1217C22⋊Q8—21no—
1218C22⋊Q8—21no—
1219C22⋊Q8D4×C3711yescharacteristic
1220C22⋊Q8C23×C3711yescharacteristic
1221C22⋊Q8C23×C3711yescharacteristic
1222C22⋊Q8C23×C3711yescharacteristic
1223C22⋊Q8C23×C3711yescharacteristic
1224C22⋊Q8C23×C3711yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—21no—
1234#121—21no—
1235#121—21no—
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121D4×C3711yescharacteristic
1245#121C23×C3711yescharacteristic
1246#121C23×C3711yescharacteristic
1247#121C23×C3711yescharacteristic
1248#121C23×C3711yescharacteristic
1249#121C23×C3711yescharacteristic
1250#121C23×C3711yescharacteristic
1251#121C23×C3711yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—21no—
1256#120—21no—
1257#120—21no—
1258#120—21no—
1259#120—21no—
1260C4×Q8C23×C3711yescharacteristic
1261C4×Q8C23×C3711yescharacteristic
1262C4×Q8C23×C3711yescharacteristic
1263C4×Q8C23×C3711yescharacteristic
1264C4×Q8C23×C3711yescharacteristic
1265C4×Q8C23×C3711yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—21no—
1282C4×D4C23×C3711yescharacteristic
1283C4×D4C23×C3711yescharacteristic
1284C4×D4C23×C3711yescharacteristic
1285C4×D4C23×C3711yescharacteristic
1286C4×D4C23×C3711yescharacteristic
1287C4×D4C23×C3711yescharacteristic
1288C4×D4C23×C3711yescharacteristic
1289C4×D4C23×C3711yescharacteristic
1290C4×D4C23×C3711yescharacteristic
1291C4×D4C23×C3711yescharacteristic
1292C4×D4C23×C3711yescharacteristic
1293C4×D4C23×C3711yescharacteristic
1294C4×D4C23×C3711yescharacteristic
1295C4×D4C23×C3711yescharacteristic
1296#117—21no—
1297#117—21no—
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117C23×C3711yescharacteristic
1302#117C23×C3711yescharacteristic
1303#117C23×C3711yescharacteristic
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—21no—
1306C2×C4⋊C4—21no—
1307C2×C4⋊C4C23×C3711yescharacteristic
1308C2×C4⋊C4C23×C3711yescharacteristic
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—21no—
1315C2×C22⋊C4—21no—
1316C2×C42C23×C3711yescharacteristic
1317#107C23×C3711yescharacteristic
1318#107C23×C3711yescharacteristic
1319#107C23×C3711yescharacteristic
1320#107C23×C3711yescharacteristic
1321#106C23×C3711yescharacteristic
1322#106C23×C3711yescharacteristic
1323#106C23×C3711yescharacteristic
1324#106C23×C3711yescharacteristic
1325C4⋊C8C23×C3711yescharacteristic
1326C4⋊C8C23×C3711yescharacteristic
1327C4⋊C8C23×C3711yescharacteristic
1328C4⋊C8C23×C3711yescharacteristic
1329C4⋊C8C23×C3711yescharacteristic
1330C4⋊C8C23×C3711yescharacteristic
1331C4⋊C8C23×C3711yescharacteristic
1332C4⋊C8C23×C3711yescharacteristic
1333C4⋊C8C23×C3711yescharacteristic
1334C4⋊C8C23×C3711yescharacteristic
1335#103C23×C3711yescharacteristic
1336#103C23×C3711yescharacteristic
1337#103C23×C3711yescharacteristic
1338#103C23×C3711yescharacteristic
1339#103C23×C3711yescharacteristic
1340#103C23×C3711yescharacteristic
1341#103C23×C3711yescharacteristic
1342#103C23×C3711yescharacteristic
1343#103C23×C3711yescharacteristic
1344#103C23×C3711yescharacteristic
1345#103C23×C3711yescharacteristic
1346#103C23×C3711yescharacteristic
1347#103C23×C3711yescharacteristic
1348#103C23×C3711yescharacteristic
1349#102C23×C3711yescharacteristic
1350#102C23×C3711yescharacteristic
1351#102C23×C3711yescharacteristic
1352#102C23×C3711yescharacteristic
1353#102C23×C3711yescharacteristic
1354#102C23×C3711yescharacteristic
1355#102C23×C3711yescharacteristic
1356#102C23×C3711yescharacteristic
1357#102C23×C3711yescharacteristic
1358#102C23×C3711yescharacteristic
1359#102C23×C3711yescharacteristic
1360#102C23×C3711yescharacteristic
1361#102C23×C3711yescharacteristic
1362#102C23×C3711yescharacteristic
1363#102C23×C3711yescharacteristic
1364#102C23×C3711yescharacteristic
1365#102C23×C3711yescharacteristic
1366#102C23×C3711yescharacteristic
1367C22⋊C8C23×C3711yescharacteristic
1368C22⋊C8C23×C3711yescharacteristic
1369C22⋊C8C23×C3711yescharacteristic
1370C22⋊C8C23×C3711yescharacteristic
1371C22⋊C8C23×C3711yescharacteristic
1372C22⋊C8C23×C3711yescharacteristic
1373#97C23×C3711yescharacteristic
1374#97C23×C3711yescharacteristic
1375C4×C8C23×C3711yescharacteristic
1376C4×C8C23×C3711yescharacteristic
1377C4×C8C23×C3711yescharacteristic
1378C4×C8C23×C3711yescharacteristic
1379C24—21no—
1380C24—21no—
1381C24—21no—
1382#41—22no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—41no—
1389#41—41no—
1390#41—41no—
1391#41—41no—
1392#41—82no—
1393C2×Q8—21no—
1394C2×Q8—21no—
1395C2×Q8—41no—
1396C2×Q8—41no—
1397C2×Q8C2×D4×C3711yescharacteristic
1398C2×Q8C24×C3711yescharacteristic
1399C2×Q8C24×C3711yescharacteristic
1400C2×Q8C24×C3711yescharacteristic
1401C2×Q8C24×C3711yescharacteristic
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—82no—
1430C2×D4C2×D4×C3711yescharacteristic
1431C2×D4C2×D4×C3711yescharacteristic
1432C2×D4C2×D4×C3711yescharacteristic
1433C2×D4C24×C3711yescharacteristic
1434C2×D4C24×C3711yescharacteristic
1435C2×D4C24×C3711yescharacteristic
1436C2×D4C24×C3711yescharacteristic
1437C2×D4C24×C3711yescharacteristic
1438C2×D4C24×C3711yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—82no—
1459C22×C4C2×D4×C3711yescharacteristic
1460C22×C4C2×D4×C3711yescharacteristic
1461C22×C4C24×C3711yescharacteristic
1462C22×C4C24×C3711yescharacteristic
1463C22×C4C24×C3711yescharacteristic
1464Q16—41no—
1465Q16—41no—
1466Q16—41no—
1467SD16—22no—
1468SD16—22no—
1469SD16—22no—
1470SD16—41no—
1471SD16—41no—
1472SD16—41no—
1473SD16—41no—
1474SD16—41no—
1475SD16—41no—
1476SD16—41no—
1477SD16—41no—
1478SD16—41no—
1479D8—22no—
1480D8—22no—
1481D8—22no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—41no—
1486D8—41no—
1487D8—41no—
1488M16—41no—
1489M16—41no—
1490M16—41no—
1491M16—41no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8C24×C3711yescharacteristic
1495C2×C8C24×C3711yescharacteristic
1496C2×C8C24×C3711yescharacteristic
1497C2×C8C24×C3711yescharacteristic
1498C2×C8C24×C3711yescharacteristic
1499C2×C8C24×C3711yescharacteristic
1500C2×C8C24×C3711yescharacteristic
1501C2×C8C24×C3711yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4C2×D4×C3711yescharacteristic
1526C4⋊C4C2×D4×C3711yescharacteristic
1527C4⋊C4C2×D4×C3711yescharacteristic
1528C4⋊C4C2×D4×C3711yescharacteristic
1529C4⋊C4C2×D4×C3711yescharacteristic
1530C4⋊C4C2×D4×C3711yescharacteristic
1531C4⋊C4C2×D4×C3711yescharacteristic
1532C4⋊C4C2×D4×C3711yescharacteristic
1533C4⋊C4C2×D4×C3711yescharacteristic
1534C4⋊C4C2×D4×C3711yescharacteristic
1535C4⋊C4C24×C3711yescharacteristic
1536C4⋊C4C24×C3711yescharacteristic
1537C4⋊C4C24×C3711yescharacteristic
1538C4⋊C4C24×C3711yescharacteristic
1539C4⋊C4C24×C3711yescharacteristic
1540C4⋊C4C24×C3711yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4C2×D4×C3711yescharacteristic
1580C22⋊C4C2×D4×C3711yescharacteristic
1581C22⋊C4C2×D4×C3711yescharacteristic
1582C22⋊C4C2×D4×C3711yescharacteristic
1583C22⋊C4C2×D4×C3711yescharacteristic
1584C22⋊C4C2×D4×C3711yescharacteristic
1585C22⋊C4C2×D4×C3711yescharacteristic
1586C22⋊C4C2×D4×C3711yescharacteristic
1587C22⋊C4C2×D4×C3711yescharacteristic
1588C22⋊C4C2×D4×C3711yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—21no—
1592C42—21no—
1593C42—21no—
1594C42—21no—
1595C42C2×D4×C3711yescharacteristic
1596C42C2×D4×C3711yescharacteristic
1597C42C24×C3711yescharacteristic
1598C42C24×C3711yescharacteristic
1599C42C24×C3711yescharacteristic
1600C42C24×C3711yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—42no—
1608C23—42no—
1609C23—42no—
1610C23—81no—
1611C23—81no—
1612C23—81no—
1613C23—81no—
1614C23—81no—
1615C23—81no—
1616C23C22×D4×C3711yescharacteristic
1617C23C22×D4×C3711yescharacteristic
1618C23C22×D4×C3711yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—21no—
1626Q8—21no—
1627Q8—41no—
1628Q8—81no—
1629Q8—81no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—21no—
1640D4—21no—
1641D4—41no—
1642D4—41no—
1643D4—41no—
1644D4—42no—
1645D4—42no—
1646D4—42no—
1647D4—42no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4H(5,𝔽2)×C3712yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—42no—
1685C2×C4—42no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—81no—
1695C2×C4—81no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—81no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4—81no—
1703C2×C4C22×D4×C3711yescharacteristic
1704C2×C4C22×D4×C3711yescharacteristic
1705C2×C4C22×D4×C3711yescharacteristic
1706C2×C4C22×D4×C3711yescharacteristic
1707C2×C4C22×D4×C3711yescharacteristic
1708C2×C4C22×D4×C3711yescharacteristic
1709C2×C4C22×D4×C3711yescharacteristic
1710C2×C4C22×D4×C3711yescharacteristic
1711C2×C4C22×D4×C3711yescharacteristic
1712C2×C4C22×D4×C3711yescharacteristic
1713C2×C4C22×D4×C3711yescharacteristic
1714C2×C4C25×C3711yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—21no—
1720C8—21no—
1721C8—21no—
1722C8—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—22no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—21no—
1731C22—21no—
1732C22—21no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—84no—
1751C22—162no—
1752C22—162no—
1753C22C23×D4×C3711yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—21no—
1760C4—21no—
1761C4—21no—
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4C2×H(5,𝔽2)×C3711yescharacteristic
1776C4C37×#58511yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—41no—
1780C2—42no—
1781C2—81no—
1782C2—81no—
1783C2—81no—
1784C2—81no—
1785C2—81no—
1786C2C37×#348811yescharacteristic
1787C2C37×#358411yescharacteristic
1788C2C37×#358511yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C37×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3562C2semidirect
2. C37×#3513C2semidirect
3. C37×#3401C2semidirect
4. C37×#3396C2semidirect
5. C37×#3370C2semidirect
6. C37×#3360C2semidirect
7. C37×#3330C2semidirect
8. C37×#3327C2semidirect
9. C37×#3326C2semidirect
10. C37×#3317C2semidirect
11. C37×#3306C2semidirect
12. C37×#3297C2semidirect
13. C37×#3282C2semidirect
14. C37×#3274C2semidirect
15. C37×#3273C2semidirect
16. C37×#3273C2semidirect
17. C37×#3267C2semidirect
18. C37×#3265C2semidirect
19. C37×#3260C2semidirect
20. C37×#3257C2semidirect
21. C37×#3256C2semidirect
22. C37×#3225C2semidirect
23. C37×#3220C2semidirect
24. C37×#3212C2semidirect
25. C37×#3122C2semidirect
26. C37×#3120C2semidirect
27. C37×#3105C2semidirect
28. C37×#3045C2semidirect
29. C37×#3042C2semidirect
30. C37×#3036C2semidirect
31. C37×#2993C2semidirect
35. C2×AGL(1,ℤ/8)×C37C22semidirect
37. C22×SD16×C37C22semidirect
40. C37×#559C22semidirect
41. C37×#559C22semidirect
42. C37×#556C22semidirect
43. C37×#554C22semidirect
47. C37×#552C22semidirect
53. C37×#548C22semidirect
55. C37×#547C22semidirect
59. C37×#546C22semidirect
60. C37×#546C22semidirect
61. D42×C37C22semidirect
62. C37×#542C22semidirect
63. C37×#541C22semidirect
66. C37×#540C22semidirect
72. C37×#536C22semidirect
73. C37×#535C22semidirect
74. C37×#532C22semidirect
76. C37×#529C22semidirect
77. C37×#529C22semidirect
81. C37×#518C22semidirect
82. C2×C4×D4×C37C22semidirect
83. C37×#497C22semidirect
85. C37×#495C22semidirect
86. C37×#495C22semidirect
87. C37×#495C22semidirect
89. C37×#490C22semidirect
90. C37×#489C22semidirect
91. C37×#488C22semidirect
92. C37×#488C22semidirect
93. C37×#488C22semidirect
94. C37×#487C22semidirect
95. C37×#484C22semidirect
96. C37×#484C22semidirect
97. C37×#483C22semidirect
98. C37×#482C22semidirect
99. C37×#482C22semidirect
100. C37×#481C22semidirect
101. C37×#479C22semidirect
102. C37×#479C22semidirect
103. C37×#479C22semidirect
104. C37×#479C22semidirect
105. C37×#478C22semidirect
106. C37×#478C22semidirect
107. C37×#478C22semidirect
108. C37×#478C22semidirect
109. C37×#476C22semidirect
110. C37×#474C22semidirect
111. C37×#470C22semidirect
113. C37×#469C22semidirect
114. C37×#468C22semidirect
115. C37×#468C22semidirect
116. C37×#468C22semidirect
117. C37×#468C22semidirect
118. C37×#468C22semidirect
120. C37×#465C22semidirect
121. C37×#465C22semidirect
122. C37×#465C22semidirect
123. C37×#464C22semidirect
124. C37×#464C22semidirect
125. C37×#464C22semidirect
130. C37×#463C22semidirect
131. C37×#463C22semidirect
132. C37×#463C22semidirect
133. C37×#463C22semidirect
134. C37×#463C22semidirect
135. C37×#463C22semidirect
136. C37×#463C22semidirect
137. C37×#463C22semidirect
138. C37×#463C22semidirect
139. C37×#462C22semidirect
140. C37×#461C22semidirect
141. C37×#461C22semidirect
142. C37×#461C22semidirect
143. C37×#461C22semidirect
144. C37×#461C22semidirect
145. C37×#460C22semidirect
146. C37×#460C22semidirect
147. C37×#460C22semidirect
148. C37×#460C22semidirect
151. C37×#459C22semidirect
152. C37×#459C22semidirect
155. C37×#452C22semidirect
156. C37×#452C22semidirect
157. C37×#452C22semidirect
158. C37×#451C22semidirect
159. C37×#450C22semidirect
162. C37×#449C22semidirect
163. C37×#449C22semidirect
164. C37×#449C22semidirect
165. C37×#448C22semidirect
168. C37×#447C22semidirect
169. C37×#447C22semidirect
170. C37×#447C22semidirect
171. C37×#446C22semidirect
172. C8×Q8×C37C22semidirect
173. C37×#442C22semidirect
174. C37×#442C22semidirect
175. C37×#441C22semidirect
176. C37×#440C22semidirect
177. C4×Q16×C37C22semidirect
178. C4×SD16×C37C22semidirect
179. C4×SD16×C37C22semidirect
180. C4×SD16×C37C22semidirect
183. C4×D8×C37C22semidirect
184. C4×D8×C37C22semidirect
185. C37×#436C22semidirect
186. C37×#436C22semidirect
187. C37×#436C22semidirect
188. C37×#435C22semidirect
189. C37×#435C22semidirect
190. C8×D4×C37C22semidirect
191. C37×#433C22semidirect
192. C37×#433C22semidirect
193. C37×#431C22semidirect
194. C37×#424C22semidirect
195. C37×#424C22semidirect
196. C37×#423C22semidirect
197. C37×#419C22semidirect
198. C37×#417C22semidirect
199. C37×#417C22semidirect
200. C37×#417C22semidirect
201. C37×#416C22semidirect
202. C2×#102×C37C22semidirect
828. #62027C37direct (N × H)
883. #3562C2×C37semidirect
884. #3513C2×C37semidirect
885. #3401C2×C37semidirect
886. #3396C2×C37semidirect
887. #3370C2×C37semidirect
888. #3360C2×C37semidirect
889. #3330C2×C37semidirect
890. #3327C2×C37semidirect
891. #3326C2×C37semidirect
892. #3317C2×C37semidirect
893. #3306C2×C37semidirect
894. #3297C2×C37semidirect
895. #3282C2×C37semidirect
896. #3274C2×C37semidirect
897. #3273C2×C37semidirect
898. #3273C2×C37semidirect
899. #3267C2×C37semidirect
900. #3265C2×C37semidirect
901. #3260C2×C37semidirect
902. #3257C2×C37semidirect
903. #3256C2×C37semidirect
904. #3225C2×C37semidirect
905. #3220C2×C37semidirect
906. #3212C2×C37semidirect
907. #3122C2×C37semidirect
908. #3120C2×C37semidirect
909. #3105C2×C37semidirect
910. #3045C2×C37semidirect
911. #3042C2×C37semidirect
912. #3036C2×C37semidirect
913. #2993C2×C37semidirect
929. C2×AGL(1,ℤ/8)C22×C37semidirect
931. C22×SD16C22×C37semidirect
934. #559C22×C37semidirect
935. #559C22×C37semidirect
936. #556C22×C37semidirect
937. #554C22×C37semidirect
941. #552C22×C37semidirect
947. #548C22×C37semidirect
949. #547C22×C37semidirect
953. #546C22×C37semidirect
954. #546C22×C37semidirect
955. D42C22×C37semidirect
956. #542C22×C37semidirect
957. #541C22×C37semidirect
960. #540C22×C37semidirect
966. #536C22×C37semidirect
967. #535C22×C37semidirect
968. #532C22×C37semidirect
970. #529C22×C37semidirect
971. #529C22×C37semidirect
975. #518C22×C37semidirect
976. C2×C4×D4C22×C37semidirect
977. #497C22×C37semidirect
979. #495C22×C37semidirect
980. #495C22×C37semidirect
981. #495C22×C37semidirect
983. #490C22×C37semidirect
984. #489C22×C37semidirect
985. #488C22×C37semidirect
986. #488C22×C37semidirect
987. #488C22×C37semidirect
988. #487C22×C37semidirect
989. #484C22×C37semidirect
990. #484C22×C37semidirect
991. #483C22×C37semidirect
992. #482C22×C37semidirect
993. #482C22×C37semidirect
994. #481C22×C37semidirect
995. #479C22×C37semidirect
996. #479C22×C37semidirect
997. #479C22×C37semidirect
998. #479C22×C37semidirect
999. #478C22×C37semidirect
1000. #478C22×C37semidirect
1001. #478C22×C37semidirect
1002. #478C22×C37semidirect
1003. #476C22×C37semidirect
1004. #474C22×C37semidirect
1005. #470C22×C37semidirect
1007. #469C22×C37semidirect
1008. #468C22×C37semidirect
1009. #468C22×C37semidirect
1010. #468C22×C37semidirect
1011. #468C22×C37semidirect
1012. #468C22×C37semidirect
1014. #465C22×C37semidirect
1015. #465C22×C37semidirect
1016. #465C22×C37semidirect
1017. #464C22×C37semidirect
1018. #464C22×C37semidirect
1019. #464C22×C37semidirect
1024. #463C22×C37semidirect
1025. #463C22×C37semidirect
1026. #463C22×C37semidirect
1027. #463C22×C37semidirect
1028. #463C22×C37semidirect
1029. #463C22×C37semidirect
1030. #463C22×C37semidirect
1031. #463C22×C37semidirect
1032. #463C22×C37semidirect
1033. #462C22×C37semidirect
1034. #461C22×C37semidirect
1035. #461C22×C37semidirect
1036. #461C22×C37semidirect
1037. #461C22×C37semidirect
1038. #461C22×C37semidirect
1039. #460C22×C37semidirect
1040. #460C22×C37semidirect
1041. #460C22×C37semidirect
1042. #460C22×C37semidirect
1045. #459C22×C37semidirect
1046. #459C22×C37semidirect
1049. #452C22×C37semidirect
1050. #452C22×C37semidirect
1051. #452C22×C37semidirect
1052. #451C22×C37semidirect
1053. #450C22×C37semidirect
1056. #449C22×C37semidirect
1057. #449C22×C37semidirect
1058. #449C22×C37semidirect
1059. #448C22×C37semidirect
1062. #447C22×C37semidirect
1063. #447C22×C37semidirect
1064. #447C22×C37semidirect
1065. #446C22×C37semidirect
1066. C8×Q8C22×C37semidirect
1067. #442C22×C37semidirect
1068. #442C22×C37semidirect
1069. #441C22×C37semidirect
1070. #440C22×C37semidirect
1071. C4×Q16C22×C37semidirect
1072. C4×SD16C22×C37semidirect
1073. C4×SD16C22×C37semidirect
1074. C4×SD16C22×C37semidirect
1077. C4×D8C22×C37semidirect
1078. C4×D8C22×C37semidirect
1079. #436C22×C37semidirect
1080. #436C22×C37semidirect
1081. #436C22×C37semidirect
1082. #435C22×C37semidirect
1083. #435C22×C37semidirect
1084. C8×D4C22×C37semidirect
1085. #433C22×C37semidirect
1086. #433C22×C37semidirect
1087. #431C22×C37semidirect
1088. #424C22×C37semidirect
1089. #424C22×C37semidirect
1090. #423C22×C37semidirect
1091. #419C22×C37semidirect
1092. #417C22×C37semidirect
1093. #417C22×C37semidirect
1094. #417C22×C37semidirect
1095. #416C22×C37semidirect
1096. C2×#102C22×C37semidirect
1097. C37#62027direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35622
C37×#35132
C37×#34012
C37×#33962
C37×#33702
C37×#33602
C37×#33302
C37×#33272
C37×#33262
C37×#33172
C37×#33062
C37×#32972
C37×#32822
C37×#32742
C37×#32732
C37×#32672
C37×#32652
C37×#32602
C37×#32572
C37×#32562
C37×#32252
C37×#32202
C37×#32122
C37×#31222
C37×#31202
C37×#31052
C37×#30452
C37×#30422
C37×#30362
C37×#29932
#6202737