Finite Group Databasebeta

← C37×#62012 #22683265

Subgroups — C37×#62012 #22683265

Order 9472.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3562C211yesmaximal, characteristic, complemented
2C37×#3515C211yesmaximal, characteristic, complemented
3C37×#3400C211yesmaximal, characteristic, complemented
4C37×#3398C211yesmaximal, characteristic, complemented
5C37×#3376C211yesmaximal, characteristic, complemented
6C37×#3370C211yesmaximal, characteristic, complemented
7C37×#3317C211yesmaximal, characteristic, complemented
8C37×#3316C211yesmaximal, characteristic, complemented
9C37×#3315C211yesmaximal, characteristic, complemented
10C37×#3314C211yesmaximal, characteristic, complemented
11C37×#3300C211yesmaximal, characteristic, complemented
12C37×#3296C211yesmaximal, characteristic, complemented
13C37×#3284C211yesmaximal, characteristic, complemented
14C37×#3283C211yesmaximal, characteristic, complemented
15C37×#3269C211yesmaximal, characteristic, complemented
16C37×#3269C211yesmaximal, characteristic, complemented
17C37×#3267C211yesmaximal, characteristic, complemented
18C37×#3267C211yesmaximal, characteristic, complemented
19C37×#3261C211yesmaximal, characteristic, complemented
20C37×#3260C211yesmaximal, characteristic, complemented
21C37×#3248C211yesmaximal, characteristic, complemented
22C37×#3223C211yesmaximal, characteristic, complemented
23C37×#3222C211yesmaximal, characteristic, complemented
24C37×#3216C211yesmaximal, characteristic, complemented
25C37×#3120C211yesmaximal, characteristic, complemented
26C37×#3119C211yesmaximal, characteristic, complemented
27C37×#3111C211yesmaximal, characteristic, complemented
28C37×#3046C211yesmaximal, characteristic, complemented
29C37×#3045C211yesmaximal, characteristic, complemented
30C37×#3035C211yesmaximal, characteristic, complemented
31C37×#2992C211yesmaximal, characteristic, complemented
32C2×#137×C37C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
34C2×#135×C37C2211yescharacteristic
35C2×#135×C37C2211yescharacteristic
36C2×#135×C37C2211yescharacteristic
37C2×#135×C37C2211yescharacteristic, complemented
38C37×#562—21no—
39C37×#560—21no—
40C37×#559C2211yescharacteristic
41C37×#557C2211yescharacteristic, complemented
42C37×#556C2211yescharacteristic
43C37×#554C2211yescharacteristic
44C37×#554C2211yescharacteristic, complemented
45C37×#553—21no—
46C37×#553—21no—
47C37×#552—21no—
48C37×#552—21no—
49C37×#552—21no—
50C37×#552C2211yescharacteristic
51C37×#552C2211yescharacteristic, complemented
52C37×#551—21no—
53C37×#550C2211yescharacteristic
54C37×#548C2211yescharacteristic
55C37×#548C2211yescharacteristic
56C37×#547C2211yescharacteristic
57C37×#547C2211yescharacteristic
58C37×#547C2211yescharacteristic
59C37×#547C2211yescharacteristic, complemented
60C37×#546C2211yescharacteristic
61C37×#546C2211yescharacteristic
62C37×#541C2211yescharacteristic
63C37×#541C2211yescharacteristic
64C37×#541C2211yescharacteristic, complemented
65C37×#540—21no—
66C37×#540C2211yescharacteristic
67C37×#539—21no—
68C37×#539—21no—
69C37×#539—21no—
70C37×#538—21no—
71C37×#538—21no—
72C37×#536C2211yescharacteristic
73C37×#535C2211yescharacteristic
74C37×#533C2211yescharacteristic, complemented
75C37×#532C2211yescharacteristic
76C37×#529—21no—
77C37×#529C2211yescharacteristic
78C37×#529C2211yescharacteristic
79C2×#125×C37—21no—
80C37×#520C2211yescharacteristic
81C37×#520C2211yescharacteristic, complemented
82C4×#41×C37C2211yescharacteristic, complemented
83C37×#497C2211yescharacteristic
84C37×#497C2211yescharacteristic
85C37×#497C2211yescharacteristic
86C37×#497C2211yescharacteristic, complemented
87C37×#494C2211yescharacteristic, complemented
88C37×#492C2211yescharacteristic
89C37×#491C2211yescharacteristic, complemented
90C37×#490C2211yescharacteristic
91C37×#489C2211yescharacteristic
92C37×#489C2211yescharacteristic, complemented
93C37×#488C2211yescharacteristic
94C37×#488C2211yescharacteristic
95C37×#485C2211yescharacteristic, complemented
96C37×#484C2211yescharacteristic
97C37×#483C2211yescharacteristic
98C37×#482C2211yescharacteristic
99C37×#481C2211yescharacteristic, complemented
100C37×#480C2211yescharacteristic
101C37×#479C2211yescharacteristic, complemented
102C37×#479C2211yescharacteristic, complemented
103C37×#479C2211yescharacteristic, complemented
104C37×#479C2211yescharacteristic, complemented
105C37×#479C2211yescharacteristic, complemented
106C37×#478C2211yescharacteristic
107C37×#478C2211yescharacteristic, complemented
108C37×#478C2211yescharacteristic, complemented
109C37×#475C2211yescharacteristic, complemented
110C37×#474C2211yescharacteristic
111C37×#470C2211yescharacteristic
112C37×#470C2211yescharacteristic
113C37×#468C2211yescharacteristic
114C37×#468C2211yescharacteristic, complemented
115C37×#467C2211yescharacteristic
116C37×#467C2211yescharacteristic
117C37×#467C2211yescharacteristic, complemented
118C37×#467C2211yescharacteristic, complemented
119C37×#465C2211yescharacteristic
120C37×#465C2211yescharacteristic
121C37×#465C2211yescharacteristic
122C37×#465C2211yescharacteristic, complemented
123C37×#464C2211yescharacteristic
124C37×#464C2211yescharacteristic
125C37×#464C2211yescharacteristic
126C37×#464C2211yescharacteristic
127C37×#464C2211yescharacteristic
128C37×#464C2211yescharacteristic
129C37×#464C2211yescharacteristic, complemented
130C37×#463C2211yescharacteristic
131C37×#463C2211yescharacteristic
132C37×#463C2211yescharacteristic
133C37×#463C2211yescharacteristic
134C37×#463C2211yescharacteristic, complemented
135C37×#462C2211yescharacteristic, complemented
136C37×#462C2211yescharacteristic, complemented
137C37×#462C2211yescharacteristic, complemented
138C37×#462C2211yescharacteristic, complemented
139C37×#462C2211yescharacteristic, complemented
140C37×#462C2211yescharacteristic, complemented
141C37×#462C2211yescharacteristic, complemented
142C37×#461C2211yescharacteristic
143C37×#461C2211yescharacteristic
144C37×#461C2211yescharacteristic, complemented
145C37×#461C2211yescharacteristic, complemented
146C37×#461C2211yescharacteristic, complemented
147C37×#460C2211yescharacteristic
148C37×#460C2211yescharacteristic
149C37×#460C2211yescharacteristic
150C37×#460C2211yescharacteristic
151C37×#459C2211yescharacteristic
152C37×#459C2211yescharacteristic
153C37×#452C2211yescharacteristic
154C37×#452C2211yescharacteristic
155C37×#452C2211yescharacteristic
156C37×#452C2211yescharacteristic
157C37×#452C2211yescharacteristic
158C37×#452C2211yescharacteristic
159C37×#452C2211yescharacteristic
160C37×#452C2211yescharacteristic
161C37×#452C2211yescharacteristic, complemented
162C37×#452C2211yescharacteristic, complemented
163C37×#452C2211yescharacteristic, complemented
164C37×#451C2211yescharacteristic, complemented
165C37×#451C2211yescharacteristic, complemented
166C37×#450C2211yescharacteristic
167C37×#450C2211yescharacteristic
168C37×#449C2211yescharacteristic
169C37×#449C2211yescharacteristic
170C37×#449C2211yescharacteristic, complemented
171C37×#446C2211yescharacteristic, complemented
172C37×#446C2211yescharacteristic, complemented
173C37×#442C2211yescharacteristic
174C37×#442C2211yescharacteristic
175C37×#441C2211yescharacteristic, complemented
176C37×#441C2211yescharacteristic, complemented
177C37×#440C2211yescharacteristic
178C37×#440C2211yescharacteristic, complemented
179C37×#440C2211yescharacteristic, complemented
180C37×#440C2211yescharacteristic, complemented
181C4×Q16×C37C2211yescharacteristic, complemented
182C4×SD16×C37C2211yescharacteristic
183C4×SD16×C37C2211yescharacteristic, complemented
184C4×D8×C37C2211yescharacteristic, complemented
185C37×#435C2211yescharacteristic
186C37×#435C2211yescharacteristic
187C37×#435C2211yescharacteristic
188C37×#435C2211yescharacteristic, complemented
189C8×D4×C37C2211yescharacteristic
190C8×D4×C37C2211yescharacteristic, complemented
191C37×#433C2211yescharacteristic
192C37×#433C2211yescharacteristic, complemented
193C37×#432C2211yescharacteristic, complemented
194C37×#424C2211yescharacteristic
195C37×#424C2211yescharacteristic, complemented
196C2×C4⋊C8×C37C2211yescharacteristic, complemented
197C37×#417C2211yescharacteristic
198C37×#417C2211yescharacteristic
199C37×#416C2211yescharacteristic
200C37×#416C2211yescharacteristic, complemented
201C2×#103×C37C2211yescharacteristic, complemented
202C2×#102×C37C2211yescharacteristic
203C2×#41×C37C2311yescharacteristic
204C2×#41×C37C2311yescharacteristic
205C2×#41×C37C2311yescharacteristic
206C2×#41×C37C2311yescharacteristic
207C2×#41×C37C2311yescharacteristic
208C2×#41×C37C2311yescharacteristic
209C2×#41×C37C2311yescharacteristic
210C22×Q8×C37C2311yescharacteristic
211C22×D4×C37C2311yescharacteristic
212#137×C37—42no—
213AGL(1,ℤ/8)×C37—42no—
214#135×C37—42no—
215#135×C37—42no—
216#135×C37—42no—
217#135×C37—42no—
218C2×Q16×C37C2311yescharacteristic
219C2×Q16×C37C2311yescharacteristic
220C2×Q16×C37C2311yescharacteristic
221C2×Q16×C37C2311yescharacteristic
222C2×Q16×C37C2311yescharacteristic
223C2×Q16×C37C2311yescharacteristic
224C2×Q16×C37C2311yescharacteristic
225C2×Q16×C37C2311yescharacteristic
226C2×Q16×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×SD16×C37C2311yescharacteristic
237C2×SD16×C37C2311yescharacteristic
238C2×SD16×C37C2311yescharacteristic
239C2×D8×C37C2311yescharacteristic
240C2×D8×C37C2311yescharacteristic
241C2×D8×C37C2311yescharacteristic
242C2×M16×C37C2311yescharacteristic
243C2×M16×C37C2311yescharacteristic
244C22×C8×C37C2311yescharacteristic
245C22×C8×C37C2311yescharacteristic
246C22×C8×C37C2311yescharacteristic
247C22×C8×C37C2311yescharacteristic
248C4⋊Q8×C37C2311yescharacteristic
249C4⋊Q8×C37C2311yescharacteristic
250C4⋊Q8×C37C2311yescharacteristic
251C4⋊Q8×C37C2311yescharacteristic
252C4⋊Q8×C37C2311yescharacteristic
253C4⋊Q8×C37C2311yescharacteristic
254#127×C37—21no—
255#127×C37C2311yescharacteristic
256#127×C37C2311yescharacteristic
257#126×C37—21no—
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×C37—21no—
268#126×C37D411yescharacteristic
269#126×C37D411yescharacteristic
270#125×C37—21no—
271#125×C37—21no—
272#125×C37—21no—
273#125×C37—21no—
274#125×C37—21no—
275#125×C37—21no—
276#125×C37—21no—
277#125×C37—21no—
278#125×C37—21no—
279#125×C37—21no—
280#125×C37—21no—
281#125×C37—21no—
282#125×C37—21no—
283#125×C37D411yescharacteristic
284#125×C37C2311yescharacteristic
285#125×C37C2311yescharacteristic
286#125×C37C2311yescharacteristic
287#124×C37—21no—
288#124×C37—21no—
289#124×C37—21no—
290#124×C37D411yescharacteristic
291#124×C37C2311yescharacteristic
292#124×C37C2311yescharacteristic
293#124×C37C2311yescharacteristic
294#124×C37C2311yescharacteristic
295#124×C37C2311yescharacteristic
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×C37—21no—
313#123×C37—21no—
314#123×C37—21no—
315#123×C37D411yescharacteristic
316#123×C37D411yescharacteristic
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×C37—21no—
325C22⋊Q8×C37—21no—
326C22⋊Q8×C37—21no—
327C22⋊Q8×C37—21no—
328C22⋊Q8×C37D411yescharacteristic
329C22⋊Q8×C37C2311yescharacteristic
330C22⋊Q8×C37C2311yescharacteristic
331C22⋊Q8×C37C2311yescharacteristic
332C22⋊Q8×C37C2311yescharacteristic
333C22⋊Q8×C37C2311yescharacteristic
334C22⋊Q8×C37C2311yescharacteristic
335C22⋊Q8×C37C2311yescharacteristic
336C22⋊Q8×C37C2311yescharacteristic
337C22⋊Q8×C37C2311yescharacteristic
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×C37—21no—
350#121×C37—21no—
351#121×C37—21no—
352#121×C37—21no—
353#121×C37—21no—
354#121×C37D411yescharacteristic
355#121×C37C2311yescharacteristic
356#121×C37C2311yescharacteristic
357#121×C37C2311yescharacteristic
358#120×C37—21no—
359#120×C37—21no—
360#120×C37—21no—
361#120×C37—21no—
362C4×Q8×C37—21no—
363C4×Q8×C37—21no—
364C4×Q8×C37C2311yescharacteristic
365C4×Q8×C37C2311yescharacteristic
366C4×Q8×C37C2311yescharacteristic
367C4×Q8×C37C2311yescharacteristic
368C4×Q8×C37C2311yescharacteristic
369C4×Q8×C37C2311yescharacteristic
370C4×Q8×C37C2311yescharacteristic
371C4×Q8×C37C2311yescharacteristic
372C4×Q8×C37C2311yescharacteristic
373C4×Q8×C37C2311yescharacteristic
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×C37—21no—
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
398#117×C37—21no—
399#117×C37—21no—
400#117×C37—21no—
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×C37—21no—
413C2×C4⋊C4×C37—21no—
414C2×C4⋊C4×C37—21no—
415C2×C4⋊C4×C37—21no—
416C2×C4⋊C4×C37C2311yescharacteristic
417C2×C4⋊C4×C37C2311yescharacteristic
418C2×C22⋊C4×C37—21no—
419C2×C22⋊C4×C37—21no—
420C2×C42×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#103×C37C2311yescharacteristic
455#103×C37C2311yescharacteristic
456#103×C37C2311yescharacteristic
457#103×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
480#97×C37C2311yescharacteristic
481#97×C37C2311yescharacteristic
482C4×C8×C37C2311yescharacteristic
483C4×C8×C37C2311yescharacteristic
484C24×C37—21no—
485#41×C37—22no—
486#41×C37—22no—
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—41no—
498#41×C37—41no—
499C2×Q8×C37—21no—
500C2×Q8×C37—21no—
501C2×Q8×C37—41no—
502C2×Q8×C37—41no—
503C2×Q8×C37C2×D411yescharacteristic
504C2×Q8×C37C2411yescharacteristic
505C2×Q8×C37C2411yescharacteristic
506C2×Q8×C37C2411yescharacteristic
507C2×Q8×C37C2411yescharacteristic
508C2×Q8×C37C2411yescharacteristic
509C2×Q8×C37C2411yescharacteristic
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—41no—
526C2×D4×C37—41no—
527C2×D4×C37C2×D411yescharacteristic
528C2×D4×C37C2×D411yescharacteristic
529C2×D4×C37C2×D411yescharacteristic
530C2×D4×C37C2411yescharacteristic
531C2×D4×C37C2411yescharacteristic
532C2×D4×C37C2411yescharacteristic
533C2×D4×C37C2411yescharacteristic
534C22×C4×C37—21no—
535C22×C4×C37—21no—
536C22×C4×C37—21no—
537C22×C4×C37—21no—
538C22×C4×C37—21no—
539C22×C4×C37—21no—
540C22×C4×C37—21no—
541C22×C4×C37—21no—
542C22×C4×C37—21no—
543C22×C4×C37—21no—
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×C37C2×D411yescharacteristic
552C22×C4×C37C2×D411yescharacteristic
553C22×C4×C37C2411yescharacteristic
554C22×C4×C37C2411yescharacteristic
555C22×C4×C37C2411yescharacteristic
556Q16×C37—41no—
557Q16×C37—41no—
558Q16×C37—41no—
559Q16×C37—41no—
560Q16×C37—41no—
561Q16×C37—41no—
562Q16×C37—41no—
563Q16×C37—41no—
564Q16×C37—41no—
565SD16×C37—22no—
566SD16×C37—22no—
567SD16×C37—22no—
568SD16×C37—41no—
569SD16×C37—41no—
570SD16×C37—41no—
571SD16×C37—41no—
572SD16×C37—41no—
573SD16×C37—41no—
574SD16×C37—41no—
575SD16×C37—41no—
576SD16×C37—41no—
577D8×C37—22no—
578D8×C37—22no—
579D8×C37—22no—
580M16×C37—41no—
581M16×C37—41no—
582C2×C8×C37—41no—
583C2×C8×C37—41no—
584C2×C8×C37—41no—
585C2×C8×C37—41no—
586C2×C8×C37C2411yescharacteristic
587C2×C8×C37C2411yescharacteristic
588C2×C8×C37C2411yescharacteristic
589C2×C8×C37C2411yescharacteristic
590C2×C8×C37C2411yescharacteristic
591C2×C8×C37C2411yescharacteristic
592C2×C8×C37C2411yescharacteristic
593C2×C8×C37C2411yescharacteristic
594C4⋊C4×C37—21no—
595C4⋊C4×C37—21no—
596C4⋊C4×C37—21no—
597C4⋊C4×C37—21no—
598C4⋊C4×C37—21no—
599C4⋊C4×C37—21no—
600C4⋊C4×C37—21no—
601C4⋊C4×C37—21no—
602C4⋊C4×C37—21no—
603C4⋊C4×C37—21no—
604C4⋊C4×C37—21no—
605C4⋊C4×C37—21no—
606C4⋊C4×C37—21no—
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×C37—21no—
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×C37C2×D411yescharacteristic
641C4⋊C4×C37C2411yescharacteristic
642C4⋊C4×C37C2411yescharacteristic
643C4⋊C4×C37C2411yescharacteristic
644C4⋊C4×C37C2411yescharacteristic
645C4⋊C4×C37C2411yescharacteristic
646C4⋊C4×C37C2411yescharacteristic
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×C37C2×D411yescharacteristic
678C22⋊C4×C37C2×D411yescharacteristic
679C22⋊C4×C37C2×D411yescharacteristic
680C22⋊C4×C37C2×D411yescharacteristic
681C22⋊C4×C37C2×D411yescharacteristic
682C22⋊C4×C37C2×D411yescharacteristic
683C22⋊C4×C37C2×D411yescharacteristic
684C22⋊C4×C37C2×D411yescharacteristic
685C22⋊C4×C37C2×D411yescharacteristic
686C22⋊C4×C37C2×D411yescharacteristic
687C42×C37—21no—
688C42×C37—21no—
689C42×C37—21no—
690C42×C37—21no—
691C42×C37—21no—
692C42×C37—21no—
693C42×C37—21no—
694C42×C37—21no—
695C42×C37—21no—
696C42×C37—21no—
697C42×C37C2×D411yescharacteristic
698C42×C37C2×D411yescharacteristic
699C42×C37C2411yescharacteristic
700C42×C37C2411yescharacteristic
701C42×C37C2411yescharacteristic
702C42×C37C2411yescharacteristic
703C23×C37—21no—
704C23×C37—21no—
705C23×C37—21no—
706C23×C37—21no—
707C23×C37—81no—
708C23×C37—81no—
709C23×C37—81no—
710C23×C37C22×D411yescharacteristic
711C23×C37C22×D411yescharacteristic
712C23×C37C22×D411yescharacteristic
713Q8×C37—21no—
714Q8×C37—21no—
715Q8×C37—21no—
716Q8×C37—21no—
717Q8×C37—21no—
718Q8×C37—21no—
719Q8×C37—21no—
720Q8×C37—21no—
721Q8×C37—21no—
722Q8×C37—21no—
723Q8×C37—21no—
724Q8×C37—21no—
725Q8×C37—41no—
726Q8×C37—81no—
727Q8×C37—81no—
728D4×C37—21no—
729D4×C37—21no—
730D4×C37—21no—
731D4×C37—21no—
732D4×C37—21no—
733D4×C37—21no—
734D4×C37—21no—
735D4×C37—41no—
736D4×C37—41no—
737D4×C37—41no—
738D4×C37—42no—
739D4×C37—42no—
740D4×C37—42no—
741D4×C37—81no—
742D4×C37—81no—
743D4×C37—81no—
744D4×C37—81no—
745D4×C37—81no—
746D4×C37—81no—
747D4×C37—81no—
748D4×C37—81no—
749D4×C37—81no—
750D4×C37—81no—
751D4×C37—81no—
752D4×C37—81no—
753D4×C37H(5,𝔽2)12yes—
754C2×C4×C37—21no—
755C2×C4×C37—21no—
756C2×C4×C37—21no—
757C2×C4×C37—21no—
758C2×C4×C37—21no—
759C2×C4×C37—21no—
760C2×C4×C37—21no—
761C2×C4×C37—21no—
762C2×C4×C37—21no—
763C2×C4×C37—21no—
764C2×C4×C37—21no—
765C2×C4×C37—21no—
766C2×C4×C37—21no—
767C2×C4×C37—21no—
768C2×C4×C37—21no—
769C2×C4×C37—21no—
770C2×C4×C37—21no—
771C2×C4×C37—21no—
772C2×C4×C37—41no—
773C2×C4×C37—41no—
774C2×C4×C37—42no—
775C2×C4×C37—42no—
776C2×C4×C37—42no—
777C2×C4×C37—42no—
778C2×C4×C37—81no—
779C2×C4×C37—81no—
780C2×C4×C37—81no—
781C2×C4×C37—81no—
782C2×C4×C37—81no—
783C2×C4×C37—81no—
784C2×C4×C37—81no—
785C2×C4×C37—81no—
786C2×C4×C37—81no—
787C2×C4×C37—81no—
788C2×C4×C37—81no—
789C2×C4×C37—81no—
790C2×C4×C37—81no—
791C2×C4×C37C22×D411yescharacteristic
792C2×C4×C37C22×D411yescharacteristic
793C2×C4×C37C22×D411yescharacteristic
794C2×C4×C37C22×D411yescharacteristic
795C2×C4×C37C22×D411yescharacteristic
796C2×C4×C37C22×D411yescharacteristic
797C2×C4×C37C22×D411yescharacteristic
798C2×C4×C37C22×D411yescharacteristic
799C2×C4×C37C22×D411yescharacteristic
800C2×C4×C37C22×D411yescharacteristic
801C2×C4×C37C22×D411yescharacteristic
802C2×C4×C37C2511yescharacteristic
803C8×C37—21no—
804C8×C37—21no—
805C8×C37—21no—
806C8×C37—21no—
807C8×C37—21no—
808C8×C37—21no—
809C8×C37—21no—
810C8×C37—21no—
811#62012C3711yesmaximal, characteristic, direct product factor, Sylow
812C22×C37—21no—
813C22×C37—21no—
814C22×C37—21no—
815C22×C37—21no—
816C22×C37—21no—
817C22×C37—21no—
818C22×C37—21no—
819C22×C37—21no—
820C22×C37—21no—
821C22×C37—22no—
822C22×C37—41no—
823C22×C37—41no—
824C22×C37—41no—
825C22×C37—41no—
826C22×C37—41no—
827C22×C37—41no—
828C22×C37—41no—
829C22×C37—41no—
830C22×C37—41no—
831C22×C37—41no—
832C22×C37—41no—
833C22×C37—162no—
834C22×C37C23×D411yescharacteristic
835C4×C37—21no—
836C4×C37—21no—
837C4×C37—21no—
838C4×C37—21no—
839C4×C37—21no—
840C4×C37—21no—
841C4×C37—21no—
842C4×C37—21no—
843C4×C37—21no—
844C4×C37—21no—
845C4×C37—21no—
846C4×C37—41no—
847C4×C37—41no—
848C4×C37—41no—
849C4×C37—41no—
850C4×C37—41no—
851C4×C37—41no—
852C4×C37—41no—
853C4×C37—41no—
854C4×C37—41no—
855C4×C37—41no—
856C4×C37—41no—
857C4×C37—41no—
858C4×C37C2×H(5,𝔽2)11yescharacteristic
859C4×C37#58511yescharacteristic
860#3562C2×C3711yescharacteristic, complemented
861#3515C2×C3711yescharacteristic, complemented
862#3400C2×C3711yescharacteristic, complemented
863#3398C2×C3711yescharacteristic, complemented
864#3376C2×C3711yescharacteristic, complemented
865#3370C2×C3711yescharacteristic, complemented
866#3317C2×C3711yescharacteristic, complemented
867#3316C2×C3711yescharacteristic, complemented
868#3315C2×C3711yescharacteristic, complemented
869#3314C2×C3711yescharacteristic, complemented
870#3300C2×C3711yescharacteristic, complemented
871#3296C2×C3711yescharacteristic, complemented
872#3284C2×C3711yescharacteristic, complemented
873#3283C2×C3711yescharacteristic, complemented
874#3269C2×C3711yescharacteristic, complemented
875#3269C2×C3711yescharacteristic, complemented
876#3267C2×C3711yescharacteristic, complemented
877#3267C2×C3711yescharacteristic, complemented
878#3261C2×C3711yescharacteristic, complemented
879#3260C2×C3711yescharacteristic, complemented
880#3248C2×C3711yescharacteristic, complemented
881#3223C2×C3711yescharacteristic, complemented
882#3222C2×C3711yescharacteristic, complemented
883#3216C2×C3711yescharacteristic, complemented
884#3120C2×C3711yescharacteristic, complemented
885#3119C2×C3711yescharacteristic, complemented
886#3111C2×C3711yescharacteristic, complemented
887#3046C2×C3711yescharacteristic, complemented
888#3045C2×C3711yescharacteristic, complemented
889#3035C2×C3711yescharacteristic, complemented
890#2992C2×C3711yescharacteristic, complemented
891C2×C37—41no—
892C2×C37—41no—
893C2×C37—41no—
894C2×C37—42no—
895C2×C37—81no—
896C2×C37—81no—
897C2×C37—81no—
898C2×C37#348811yescharacteristic
899C2×C37#358411yescharacteristic
900C2×C37#358611yescharacteristic
901C2×#137C22×C3711yescharacteristic, complemented
902C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
903C2×#135C22×C3711yescharacteristic
904C2×#135C22×C3711yescharacteristic
905C2×#135C22×C3711yescharacteristic
906C2×#135C22×C3711yescharacteristic, complemented
907#562—21no—
908#560—21no—
909#559C22×C3711yescharacteristic
910#557C22×C3711yescharacteristic, complemented
911#556C22×C3711yescharacteristic
912#554C22×C3711yescharacteristic
913#554C22×C3711yescharacteristic, complemented
914#553—21no—
915#553—21no—
916#552—21no—
917#552—21no—
918#552—21no—
919#552C22×C3711yescharacteristic
920#552C22×C3711yescharacteristic, complemented
921#551—21no—
922#550C22×C3711yescharacteristic
923#548C22×C3711yescharacteristic
924#548C22×C3711yescharacteristic
925#547C22×C3711yescharacteristic
926#547C22×C3711yescharacteristic
927#547C22×C3711yescharacteristic
928#547C22×C3711yescharacteristic, complemented
929#546C22×C3711yescharacteristic
930#546C22×C3711yescharacteristic
931#541C22×C3711yescharacteristic
932#541C22×C3711yescharacteristic
933#541C22×C3711yescharacteristic, complemented
934#540—21no—
935#540C22×C3711yescharacteristic
936#539—21no—
937#539—21no—
938#539—21no—
939#538—21no—
940#538—21no—
941#536C22×C3711yescharacteristic
942#535C22×C3711yescharacteristic
943#533C22×C3711yescharacteristic, complemented
944#532C22×C3711yescharacteristic
945#529—21no—
946#529C22×C3711yescharacteristic
947#529C22×C3711yescharacteristic
948C2×#125—21no—
949#520C22×C3711yescharacteristic
950#520C22×C3711yescharacteristic, complemented
951C4×#41C22×C3711yescharacteristic, complemented
952#497C22×C3711yescharacteristic
953#497C22×C3711yescharacteristic
954#497C22×C3711yescharacteristic
955#497C22×C3711yescharacteristic, complemented
956#494C22×C3711yescharacteristic, complemented
957#492C22×C3711yescharacteristic
958#491C22×C3711yescharacteristic, complemented
959#490C22×C3711yescharacteristic
960#489C22×C3711yescharacteristic
961#489C22×C3711yescharacteristic, complemented
962#488C22×C3711yescharacteristic
963#488C22×C3711yescharacteristic
964#485C22×C3711yescharacteristic, complemented
965#484C22×C3711yescharacteristic
966#483C22×C3711yescharacteristic
967#482C22×C3711yescharacteristic
968#481C22×C3711yescharacteristic, complemented
969#480C22×C3711yescharacteristic
970#479C22×C3711yescharacteristic, complemented
971#479C22×C3711yescharacteristic, complemented
972#479C22×C3711yescharacteristic, complemented
973#479C22×C3711yescharacteristic, complemented
974#479C22×C3711yescharacteristic, complemented
975#478C22×C3711yescharacteristic
976#478C22×C3711yescharacteristic, complemented
977#478C22×C3711yescharacteristic, complemented
978#475C22×C3711yescharacteristic, complemented
979#474C22×C3711yescharacteristic
980#470C22×C3711yescharacteristic
981#470C22×C3711yescharacteristic
982#468C22×C3711yescharacteristic
983#468C22×C3711yescharacteristic, complemented
984#467C22×C3711yescharacteristic
985#467C22×C3711yescharacteristic
986#467C22×C3711yescharacteristic, complemented
987#467C22×C3711yescharacteristic, complemented
988#465C22×C3711yescharacteristic
989#465C22×C3711yescharacteristic
990#465C22×C3711yescharacteristic
991#465C22×C3711yescharacteristic, complemented
992#464C22×C3711yescharacteristic
993#464C22×C3711yescharacteristic
994#464C22×C3711yescharacteristic
995#464C22×C3711yescharacteristic
996#464C22×C3711yescharacteristic
997#464C22×C3711yescharacteristic
998#464C22×C3711yescharacteristic, complemented
999#463C22×C3711yescharacteristic
1000#463C22×C3711yescharacteristic
1001#463C22×C3711yescharacteristic
1002#463C22×C3711yescharacteristic
1003#463C22×C3711yescharacteristic, complemented
1004#462C22×C3711yescharacteristic, complemented
1005#462C22×C3711yescharacteristic, complemented
1006#462C22×C3711yescharacteristic, complemented
1007#462C22×C3711yescharacteristic, complemented
1008#462C22×C3711yescharacteristic, complemented
1009#462C22×C3711yescharacteristic, complemented
1010#462C22×C3711yescharacteristic, complemented
1011#461C22×C3711yescharacteristic
1012#461C22×C3711yescharacteristic
1013#461C22×C3711yescharacteristic, complemented
1014#461C22×C3711yescharacteristic, complemented
1015#461C22×C3711yescharacteristic, complemented
1016#460C22×C3711yescharacteristic
1017#460C22×C3711yescharacteristic
1018#460C22×C3711yescharacteristic
1019#460C22×C3711yescharacteristic
1020#459C22×C3711yescharacteristic
1021#459C22×C3711yescharacteristic
1022#452C22×C3711yescharacteristic
1023#452C22×C3711yescharacteristic
1024#452C22×C3711yescharacteristic
1025#452C22×C3711yescharacteristic
1026#452C22×C3711yescharacteristic
1027#452C22×C3711yescharacteristic
1028#452C22×C3711yescharacteristic
1029#452C22×C3711yescharacteristic
1030#452C22×C3711yescharacteristic, complemented
1031#452C22×C3711yescharacteristic, complemented
1032#452C22×C3711yescharacteristic, complemented
1033#451C22×C3711yescharacteristic, complemented
1034#451C22×C3711yescharacteristic, complemented
1035#450C22×C3711yescharacteristic
1036#450C22×C3711yescharacteristic
1037#449C22×C3711yescharacteristic
1038#449C22×C3711yescharacteristic
1039#449C22×C3711yescharacteristic, complemented
1040#446C22×C3711yescharacteristic, complemented
1041#446C22×C3711yescharacteristic, complemented
1042#442C22×C3711yescharacteristic
1043#442C22×C3711yescharacteristic
1044#441C22×C3711yescharacteristic, complemented
1045#441C22×C3711yescharacteristic, complemented
1046#440C22×C3711yescharacteristic
1047#440C22×C3711yescharacteristic, complemented
1048#440C22×C3711yescharacteristic, complemented
1049#440C22×C3711yescharacteristic, complemented
1050C4×Q16C22×C3711yescharacteristic, complemented
1051C4×SD16C22×C3711yescharacteristic
1052C4×SD16C22×C3711yescharacteristic, complemented
1053C4×D8C22×C3711yescharacteristic, complemented
1054#435C22×C3711yescharacteristic
1055#435C22×C3711yescharacteristic
1056#435C22×C3711yescharacteristic
1057#435C22×C3711yescharacteristic, complemented
1058C8×D4C22×C3711yescharacteristic
1059C8×D4C22×C3711yescharacteristic, complemented
1060#433C22×C3711yescharacteristic
1061#433C22×C3711yescharacteristic, complemented
1062#432C22×C3711yescharacteristic, complemented
1063#424C22×C3711yescharacteristic
1064#424C22×C3711yescharacteristic, complemented
1065C2×C4⋊C8C22×C3711yescharacteristic, complemented
1066#417C22×C3711yescharacteristic
1067#417C22×C3711yescharacteristic
1068#416C22×C3711yescharacteristic
1069#416C22×C3711yescharacteristic, complemented
1070C2×#103C22×C3711yescharacteristic, complemented
1071C2×#102C22×C3711yescharacteristic
1072C37#6201211yescharacteristic, direct product factor, Sylow
1073C2×#41C23×C3711yescharacteristic
1074C2×#41C23×C3711yescharacteristic
1075C2×#41C23×C3711yescharacteristic
1076C2×#41C23×C3711yescharacteristic
1077C2×#41C23×C3711yescharacteristic
1078C2×#41C23×C3711yescharacteristic
1079C2×#41C23×C3711yescharacteristic
1080C22×Q8C23×C3711yescharacteristic
1081C22×D4C23×C3711yescharacteristic
1082#137—42no—
1083AGL(1,ℤ/8)—42no—
1084#135—42no—
1085#135—42no—
1086#135—42no—
1087#135—42no—
1088C2×Q16C23×C3711yescharacteristic
1089C2×Q16C23×C3711yescharacteristic
1090C2×Q16C23×C3711yescharacteristic
1091C2×Q16C23×C3711yescharacteristic
1092C2×Q16C23×C3711yescharacteristic
1093C2×Q16C23×C3711yescharacteristic
1094C2×Q16C23×C3711yescharacteristic
1095C2×Q16C23×C3711yescharacteristic
1096C2×Q16C23×C3711yescharacteristic
1097C2×SD16C23×C3711yescharacteristic
1098C2×SD16C23×C3711yescharacteristic
1099C2×SD16C23×C3711yescharacteristic
1100C2×SD16C23×C3711yescharacteristic
1101C2×SD16C23×C3711yescharacteristic
1102C2×SD16C23×C3711yescharacteristic
1103C2×SD16C23×C3711yescharacteristic
1104C2×SD16C23×C3711yescharacteristic
1105C2×SD16C23×C3711yescharacteristic
1106C2×SD16C23×C3711yescharacteristic
1107C2×SD16C23×C3711yescharacteristic
1108C2×SD16C23×C3711yescharacteristic
1109C2×D8C23×C3711yescharacteristic
1110C2×D8C23×C3711yescharacteristic
1111C2×D8C23×C3711yescharacteristic
1112C2×M16C23×C3711yescharacteristic
1113C2×M16C23×C3711yescharacteristic
1114C22×C8C23×C3711yescharacteristic
1115C22×C8C23×C3711yescharacteristic
1116C22×C8C23×C3711yescharacteristic
1117C22×C8C23×C3711yescharacteristic
1118C4⋊Q8C23×C3711yescharacteristic
1119C4⋊Q8C23×C3711yescharacteristic
1120C4⋊Q8C23×C3711yescharacteristic
1121C4⋊Q8C23×C3711yescharacteristic
1122C4⋊Q8C23×C3711yescharacteristic
1123C4⋊Q8C23×C3711yescharacteristic
1124#127—21no—
1125#127C23×C3711yescharacteristic
1126#127C23×C3711yescharacteristic
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126—21no—
1136#126—21no—
1137#126—21no—
1138#126D4×C3711yescharacteristic
1139#126D4×C3711yescharacteristic
1140#125—21no—
1141#125—21no—
1142#125—21no—
1143#125—21no—
1144#125—21no—
1145#125—21no—
1146#125—21no—
1147#125—21no—
1148#125—21no—
1149#125—21no—
1150#125—21no—
1151#125—21no—
1152#125—21no—
1153#125D4×C3711yescharacteristic
1154#125C23×C3711yescharacteristic
1155#125C23×C3711yescharacteristic
1156#125C23×C3711yescharacteristic
1157#124—21no—
1158#124—21no—
1159#124—21no—
1160#124D4×C3711yescharacteristic
1161#124C23×C3711yescharacteristic
1162#124C23×C3711yescharacteristic
1163#124C23×C3711yescharacteristic
1164#124C23×C3711yescharacteristic
1165#124C23×C3711yescharacteristic
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123D4×C3711yescharacteristic
1186#123D4×C3711yescharacteristic
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8D4×C3711yescharacteristic
1199C22⋊Q8C23×C3711yescharacteristic
1200C22⋊Q8C23×C3711yescharacteristic
1201C22⋊Q8C23×C3711yescharacteristic
1202C22⋊Q8C23×C3711yescharacteristic
1203C22⋊Q8C23×C3711yescharacteristic
1204C22⋊Q8C23×C3711yescharacteristic
1205C22⋊Q8C23×C3711yescharacteristic
1206C22⋊Q8C23×C3711yescharacteristic
1207C22⋊Q8C23×C3711yescharacteristic
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—21no—
1220#121—21no—
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121D4×C3711yescharacteristic
1225#121C23×C3711yescharacteristic
1226#121C23×C3711yescharacteristic
1227#121C23×C3711yescharacteristic
1228#120—21no—
1229#120—21no—
1230#120—21no—
1231#120—21no—
1232C4×Q8—21no—
1233C4×Q8—21no—
1234C4×Q8C23×C3711yescharacteristic
1235C4×Q8C23×C3711yescharacteristic
1236C4×Q8C23×C3711yescharacteristic
1237C4×Q8C23×C3711yescharacteristic
1238C4×Q8C23×C3711yescharacteristic
1239C4×Q8C23×C3711yescharacteristic
1240C4×Q8C23×C3711yescharacteristic
1241C4×Q8C23×C3711yescharacteristic
1242C4×Q8C23×C3711yescharacteristic
1243C4×Q8C23×C3711yescharacteristic
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4C23×C3711yescharacteristic
1259C4×D4C23×C3711yescharacteristic
1260C4×D4C23×C3711yescharacteristic
1261C4×D4C23×C3711yescharacteristic
1262C4×D4C23×C3711yescharacteristic
1263C4×D4C23×C3711yescharacteristic
1264C4×D4C23×C3711yescharacteristic
1265C4×D4C23×C3711yescharacteristic
1266C4×D4C23×C3711yescharacteristic
1267C4×D4C23×C3711yescharacteristic
1268#117—21no—
1269#117—21no—
1270#117—21no—
1271#117—21no—
1272#117—21no—
1273#117—21no—
1274#117—21no—
1275#117—21no—
1276#117C23×C3711yescharacteristic
1277#117C23×C3711yescharacteristic
1278#117C23×C3711yescharacteristic
1279C2×C4⋊C4—21no—
1280C2×C4⋊C4—21no—
1281C2×C4⋊C4—21no—
1282C2×C4⋊C4—21no—
1283C2×C4⋊C4—21no—
1284C2×C4⋊C4—21no—
1285C2×C4⋊C4—21no—
1286C2×C4⋊C4C23×C3711yescharacteristic
1287C2×C4⋊C4C23×C3711yescharacteristic
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C42—21no—
1291C2×C42C23×C3711yescharacteristic
1292#107C23×C3711yescharacteristic
1293#107C23×C3711yescharacteristic
1294#107C23×C3711yescharacteristic
1295#107C23×C3711yescharacteristic
1296#106C23×C3711yescharacteristic
1297#106C23×C3711yescharacteristic
1298#106C23×C3711yescharacteristic
1299#106C23×C3711yescharacteristic
1300C4⋊C8C23×C3711yescharacteristic
1301C4⋊C8C23×C3711yescharacteristic
1302C4⋊C8C23×C3711yescharacteristic
1303C4⋊C8C23×C3711yescharacteristic
1304C4⋊C8C23×C3711yescharacteristic
1305C4⋊C8C23×C3711yescharacteristic
1306C4⋊C8C23×C3711yescharacteristic
1307C4⋊C8C23×C3711yescharacteristic
1308C4⋊C8C23×C3711yescharacteristic
1309C4⋊C8C23×C3711yescharacteristic
1310#103C23×C3711yescharacteristic
1311#103C23×C3711yescharacteristic
1312#103C23×C3711yescharacteristic
1313#103C23×C3711yescharacteristic
1314#103C23×C3711yescharacteristic
1315#103C23×C3711yescharacteristic
1316#103C23×C3711yescharacteristic
1317#103C23×C3711yescharacteristic
1318#103C23×C3711yescharacteristic
1319#103C23×C3711yescharacteristic
1320#103C23×C3711yescharacteristic
1321#103C23×C3711yescharacteristic
1322#103C23×C3711yescharacteristic
1323#103C23×C3711yescharacteristic
1324#103C23×C3711yescharacteristic
1325#103C23×C3711yescharacteristic
1326#103C23×C3711yescharacteristic
1327#103C23×C3711yescharacteristic
1328#102C23×C3711yescharacteristic
1329#102C23×C3711yescharacteristic
1330#102C23×C3711yescharacteristic
1331#102C23×C3711yescharacteristic
1332#102C23×C3711yescharacteristic
1333#102C23×C3711yescharacteristic
1334#102C23×C3711yescharacteristic
1335#102C23×C3711yescharacteristic
1336#102C23×C3711yescharacteristic
1337#102C23×C3711yescharacteristic
1338#102C23×C3711yescharacteristic
1339#102C23×C3711yescharacteristic
1340#102C23×C3711yescharacteristic
1341#102C23×C3711yescharacteristic
1342C22⋊C8C23×C3711yescharacteristic
1343C22⋊C8C23×C3711yescharacteristic
1344C22⋊C8C23×C3711yescharacteristic
1345C22⋊C8C23×C3711yescharacteristic
1346C22⋊C8C23×C3711yescharacteristic
1347C22⋊C8C23×C3711yescharacteristic
1348#97C23×C3711yescharacteristic
1349#97C23×C3711yescharacteristic
1350#97C23×C3711yescharacteristic
1351#97C23×C3711yescharacteristic
1352C4×C8C23×C3711yescharacteristic
1353C4×C8C23×C3711yescharacteristic
1354C24—21no—
1355#41—22no—
1356#41—22no—
1357#41—22no—
1358#41—41no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—41no—
1363#41—41no—
1364#41—41no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—41no—
1369C2×Q8—21no—
1370C2×Q8—21no—
1371C2×Q8—41no—
1372C2×Q8—41no—
1373C2×Q8C2×D4×C3711yescharacteristic
1374C2×Q8C24×C3711yescharacteristic
1375C2×Q8C24×C3711yescharacteristic
1376C2×Q8C24×C3711yescharacteristic
1377C2×Q8C24×C3711yescharacteristic
1378C2×Q8C24×C3711yescharacteristic
1379C2×Q8C24×C3711yescharacteristic
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4C2×D4×C3711yescharacteristic
1398C2×D4C2×D4×C3711yescharacteristic
1399C2×D4C2×D4×C3711yescharacteristic
1400C2×D4C24×C3711yescharacteristic
1401C2×D4C24×C3711yescharacteristic
1402C2×D4C24×C3711yescharacteristic
1403C2×D4C24×C3711yescharacteristic
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—21no—
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4C2×D4×C3711yescharacteristic
1422C22×C4C2×D4×C3711yescharacteristic
1423C22×C4C24×C3711yescharacteristic
1424C22×C4C24×C3711yescharacteristic
1425C22×C4C24×C3711yescharacteristic
1426Q16—41no—
1427Q16—41no—
1428Q16—41no—
1429Q16—41no—
1430Q16—41no—
1431Q16—41no—
1432Q16—41no—
1433Q16—41no—
1434Q16—41no—
1435SD16—22no—
1436SD16—22no—
1437SD16—22no—
1438SD16—41no—
1439SD16—41no—
1440SD16—41no—
1441SD16—41no—
1442SD16—41no—
1443SD16—41no—
1444SD16—41no—
1445SD16—41no—
1446SD16—41no—
1447D8—22no—
1448D8—22no—
1449D8—22no—
1450M16—41no—
1451M16—41no—
1452C2×C8—41no—
1453C2×C8—41no—
1454C2×C8—41no—
1455C2×C8—41no—
1456C2×C8C24×C3711yescharacteristic
1457C2×C8C24×C3711yescharacteristic
1458C2×C8C24×C3711yescharacteristic
1459C2×C8C24×C3711yescharacteristic
1460C2×C8C24×C3711yescharacteristic
1461C2×C8C24×C3711yescharacteristic
1462C2×C8C24×C3711yescharacteristic
1463C2×C8C24×C3711yescharacteristic
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4C2×D4×C3711yescharacteristic
1502C4⋊C4C2×D4×C3711yescharacteristic
1503C4⋊C4C2×D4×C3711yescharacteristic
1504C4⋊C4C2×D4×C3711yescharacteristic
1505C4⋊C4C2×D4×C3711yescharacteristic
1506C4⋊C4C2×D4×C3711yescharacteristic
1507C4⋊C4C2×D4×C3711yescharacteristic
1508C4⋊C4C2×D4×C3711yescharacteristic
1509C4⋊C4C2×D4×C3711yescharacteristic
1510C4⋊C4C2×D4×C3711yescharacteristic
1511C4⋊C4C24×C3711yescharacteristic
1512C4⋊C4C24×C3711yescharacteristic
1513C4⋊C4C24×C3711yescharacteristic
1514C4⋊C4C24×C3711yescharacteristic
1515C4⋊C4C24×C3711yescharacteristic
1516C4⋊C4C24×C3711yescharacteristic
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4C2×D4×C3711yescharacteristic
1548C22⋊C4C2×D4×C3711yescharacteristic
1549C22⋊C4C2×D4×C3711yescharacteristic
1550C22⋊C4C2×D4×C3711yescharacteristic
1551C22⋊C4C2×D4×C3711yescharacteristic
1552C22⋊C4C2×D4×C3711yescharacteristic
1553C22⋊C4C2×D4×C3711yescharacteristic
1554C22⋊C4C2×D4×C3711yescharacteristic
1555C22⋊C4C2×D4×C3711yescharacteristic
1556C22⋊C4C2×D4×C3711yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42C2×D4×C3711yescharacteristic
1568C42C2×D4×C3711yescharacteristic
1569C42C24×C3711yescharacteristic
1570C42C24×C3711yescharacteristic
1571C42C24×C3711yescharacteristic
1572C42C24×C3711yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—81no—
1578C23—81no—
1579C23—81no—
1580C23C22×D4×C3711yescharacteristic
1581C23C22×D4×C3711yescharacteristic
1582C23C22×D4×C3711yescharacteristic
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—21no—
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—41no—
1596Q8—81no—
1597Q8—81no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—41no—
1606D4—41no—
1607D4—41no—
1608D4—42no—
1609D4—42no—
1610D4—42no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4H(5,𝔽2)×C3712yes—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—42no—
1645C2×C4—42no—
1646C2×C4—42no—
1647C2×C4—42no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—81no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4C22×D4×C3711yescharacteristic
1662C2×C4C22×D4×C3711yescharacteristic
1663C2×C4C22×D4×C3711yescharacteristic
1664C2×C4C22×D4×C3711yescharacteristic
1665C2×C4C22×D4×C3711yescharacteristic
1666C2×C4C22×D4×C3711yescharacteristic
1667C2×C4C22×D4×C3711yescharacteristic
1668C2×C4C22×D4×C3711yescharacteristic
1669C2×C4C22×D4×C3711yescharacteristic
1670C2×C4C22×D4×C3711yescharacteristic
1671C2×C4C22×D4×C3711yescharacteristic
1672C2×C4C25×C3711yescharacteristic
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8—21no—
1679C8—21no—
1680C8—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—22no—
1685C22—21no—
1686C22—21no—
1687C22—21no—
1688C22—21no—
1689C22—21no—
1690C22—21no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—162no—
1703C22C23×D4×C3711yescharacteristic
1704C4—21no—
1705C4—21no—
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4C2×H(5,𝔽2)×C3711yescharacteristic
1728C4C37×#58511yescharacteristic
1729C2—41no—
1730C2—41no—
1731C2—41no—
1732C2—42no—
1733C2—81no—
1734C2—81no—
1735C2—81no—
1736C2C37×#348811yescharacteristic
1737C2C37×#358411yescharacteristic
1738C2C37×#358611yescharacteristic
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×#3515C2semidirect
3. C37×#3400C2semidirect
4. C37×#3398C2semidirect
5. C37×#3376C2semidirect
6. C37×#3370C2semidirect
7. C37×#3317C2semidirect
8. C37×#3316C2semidirect
9. C37×#3315C2semidirect
10. C37×#3314C2semidirect
11. C37×#3300C2semidirect
12. C37×#3296C2semidirect
13. C37×#3284C2semidirect
14. C37×#3283C2semidirect
15. C37×#3269C2semidirect
16. C37×#3269C2semidirect
17. C37×#3267C2semidirect
18. C37×#3267C2semidirect
19. C37×#3261C2semidirect
20. C37×#3260C2semidirect
21. C37×#3248C2semidirect
22. C37×#3223C2semidirect
23. C37×#3222C2semidirect
24. C37×#3216C2semidirect
25. C37×#3120C2semidirect
26. C37×#3119C2semidirect
27. C37×#3111C2semidirect
28. C37×#3046C2semidirect
29. C37×#3045C2semidirect
30. C37×#3035C2semidirect
31. C37×#2992C2semidirect
32. C2×#137×C37C22semidirect
37. C2×#135×C37C22semidirect
41. C37×#557C22semidirect
44. C37×#554C22semidirect
51. C37×#552C22semidirect
59. C37×#547C22semidirect
64. C37×#541C22semidirect
74. C37×#533C22semidirect
81. C37×#520C22semidirect
82. C4×#41×C37C22semidirect
86. C37×#497C22semidirect
87. C37×#494C22semidirect
89. C37×#491C22semidirect
92. C37×#489C22semidirect
95. C37×#485C22semidirect
99. C37×#481C22semidirect
101. C37×#479C22semidirect
102. C37×#479C22semidirect
103. C37×#479C22semidirect
104. C37×#479C22semidirect
105. C37×#479C22semidirect
107. C37×#478C22semidirect
108. C37×#478C22semidirect
109. C37×#475C22semidirect
114. C37×#468C22semidirect
117. C37×#467C22semidirect
118. C37×#467C22semidirect
122. C37×#465C22semidirect
129. C37×#464C22semidirect
134. C37×#463C22semidirect
135. C37×#462C22semidirect
136. C37×#462C22semidirect
137. C37×#462C22semidirect
138. C37×#462C22semidirect
139. C37×#462C22semidirect
140. C37×#462C22semidirect
141. C37×#462C22semidirect
144. C37×#461C22semidirect
145. C37×#461C22semidirect
146. C37×#461C22semidirect
161. C37×#452C22semidirect
162. C37×#452C22semidirect
163. C37×#452C22semidirect
164. C37×#451C22semidirect
165. C37×#451C22semidirect
170. C37×#449C22semidirect
171. C37×#446C22semidirect
172. C37×#446C22semidirect
175. C37×#441C22semidirect
176. C37×#441C22semidirect
178. C37×#440C22semidirect
179. C37×#440C22semidirect
180. C37×#440C22semidirect
181. C4×Q16×C37C22semidirect
183. C4×SD16×C37C22semidirect
184. C4×D8×C37C22semidirect
188. C37×#435C22semidirect
190. C8×D4×C37C22semidirect
192. C37×#433C22semidirect
193. C37×#432C22semidirect
195. C37×#424C22semidirect
196. C2×C4⋊C8×C37C22semidirect
200. C37×#416C22semidirect
201. C2×#103×C37C22semidirect
811. #62012C37direct (N × H)
860. #3562C2×C37semidirect
861. #3515C2×C37semidirect
862. #3400C2×C37semidirect
863. #3398C2×C37semidirect
864. #3376C2×C37semidirect
865. #3370C2×C37semidirect
866. #3317C2×C37semidirect
867. #3316C2×C37semidirect
868. #3315C2×C37semidirect
869. #3314C2×C37semidirect
870. #3300C2×C37semidirect
871. #3296C2×C37semidirect
872. #3284C2×C37semidirect
873. #3283C2×C37semidirect
874. #3269C2×C37semidirect
875. #3269C2×C37semidirect
876. #3267C2×C37semidirect
877. #3267C2×C37semidirect
878. #3261C2×C37semidirect
879. #3260C2×C37semidirect
880. #3248C2×C37semidirect
881. #3223C2×C37semidirect
882. #3222C2×C37semidirect
883. #3216C2×C37semidirect
884. #3120C2×C37semidirect
885. #3119C2×C37semidirect
886. #3111C2×C37semidirect
887. #3046C2×C37semidirect
888. #3045C2×C37semidirect
889. #3035C2×C37semidirect
890. #2992C2×C37semidirect
901. C2×#137C22×C37semidirect
906. C2×#135C22×C37semidirect
910. #557C22×C37semidirect
913. #554C22×C37semidirect
920. #552C22×C37semidirect
928. #547C22×C37semidirect
933. #541C22×C37semidirect
943. #533C22×C37semidirect
950. #520C22×C37semidirect
951. C4×#41C22×C37semidirect
955. #497C22×C37semidirect
956. #494C22×C37semidirect
958. #491C22×C37semidirect
961. #489C22×C37semidirect
964. #485C22×C37semidirect
968. #481C22×C37semidirect
970. #479C22×C37semidirect
971. #479C22×C37semidirect
972. #479C22×C37semidirect
973. #479C22×C37semidirect
974. #479C22×C37semidirect
976. #478C22×C37semidirect
977. #478C22×C37semidirect
978. #475C22×C37semidirect
983. #468C22×C37semidirect
986. #467C22×C37semidirect
987. #467C22×C37semidirect
991. #465C22×C37semidirect
998. #464C22×C37semidirect
1003. #463C22×C37semidirect
1004. #462C22×C37semidirect
1005. #462C22×C37semidirect
1006. #462C22×C37semidirect
1007. #462C22×C37semidirect
1008. #462C22×C37semidirect
1009. #462C22×C37semidirect
1010. #462C22×C37semidirect
1013. #461C22×C37semidirect
1014. #461C22×C37semidirect
1015. #461C22×C37semidirect
1030. #452C22×C37semidirect
1031. #452C22×C37semidirect
1032. #452C22×C37semidirect
1033. #451C22×C37semidirect
1034. #451C22×C37semidirect
1039. #449C22×C37semidirect
1040. #446C22×C37semidirect
1041. #446C22×C37semidirect
1044. #441C22×C37semidirect
1045. #441C22×C37semidirect
1047. #440C22×C37semidirect
1048. #440C22×C37semidirect
1049. #440C22×C37semidirect
1050. C4×Q16C22×C37semidirect
1052. C4×SD16C22×C37semidirect
1053. C4×D8C22×C37semidirect
1057. #435C22×C37semidirect
1059. C8×D4C22×C37semidirect
1061. #433C22×C37semidirect
1062. #432C22×C37semidirect
1064. #424C22×C37semidirect
1065. C2×C4⋊C8C22×C37semidirect
1069. #416C22×C37semidirect
1070. C2×#103C22×C37semidirect
1072. C37#62012direct (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×#35152
C37×#34002
C37×#33982
C37×#33762
C37×#33702
C37×#33172
C37×#33162
C37×#33152
C37×#33142
C37×#33002
C37×#32962
C37×#32842
C37×#32832
C37×#32692
C37×#32672
C37×#32612
C37×#32602
C37×#32482
C37×#32232
C37×#32222
C37×#32162
C37×#31202
C37×#31192
C37×#31112
C37×#30462
C37×#30452
C37×#30352
C37×#29922
#6201237