Finite Group Databasebeta

← C37×#62066 #22683319

Subgroups — C37×#62066 #22683319

Order 9472.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3558C211yesmaximal, characteristic, complemented
2C37×#3516C211yesmaximal, characteristic, complemented
3C37×#3401C211yesmaximal, characteristic, complemented
4C37×#3394C211yesmaximal, characteristic, complemented
5C37×#3371C211yesmaximal, characteristic, complemented
6C37×#3365C211yesmaximal, characteristic, complemented
7C37×#3323C211yesmaximal, characteristic, complemented
8C37×#3318C211yesmaximal, characteristic, complemented
9C37×#3316C211yesmaximal, characteristic, complemented
10C37×#3301C211yesmaximal, characteristic, complemented
11C37×#3296C211yesmaximal, characteristic, complemented
12C37×#3295C211yesmaximal, characteristic, complemented
13C37×#3285C211yesmaximal, characteristic, complemented
14C37×#3282C211yesmaximal, characteristic, complemented
15D4×SD16×C37C211yesmaximal, characteristic, complemented
16C37×#3275C211yesmaximal, characteristic, complemented
17C37×#3270C211yesmaximal, characteristic, complemented
18C37×#3265C211yesmaximal, characteristic, complemented
19C37×#3263C211yesmaximal, characteristic, complemented
20C37×#3258C211yesmaximal, characteristic, complemented
21C37×#3247C211yesmaximal, characteristic, complemented
22C37×#3224C211yesmaximal, characteristic, complemented
23C37×#3222C211yesmaximal, characteristic, complemented
24C37×#3211C211yesmaximal, characteristic, complemented
25C37×#3125C211yesmaximal, characteristic, complemented
26C37×#3121C211yesmaximal, characteristic, complemented
27C37×#3103C211yesmaximal, characteristic, complemented
28C37×#3045C211yesmaximal, characteristic, complemented
29C37×#3043C211yesmaximal, characteristic, complemented
30C2×C37×#464C211yesmaximal, characteristic, complemented
31C37×#2994C211yesmaximal, characteristic, complemented
32C2×#137×C37C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
34C2×#135×C37C2211yescharacteristic, complemented
35C22×Q16×C37C2211yescharacteristic, complemented
36C22×SD16×C37C2211yescharacteristic
37C22×SD16×C37C2211yescharacteristic, complemented
38C37×#562—21no—
39C37×H(3,𝔽4)—21no—
40C37×#559C2211yescharacteristic
41C37×#559C2211yescharacteristic
42C37×#557C2211yescharacteristic, complemented
43C37×#556—21no—
44C37×#556C2211yescharacteristic, complemented
45C37×#554—21no—
46C37×#554C2211yescharacteristic, complemented
47C37×#553—21no—
48C37×#553C2211yescharacteristic, complemented
49C37×#552—21no—
50C37×#552C2211yescharacteristic, complemented
51D4×Q8×C37C2211yescharacteristic, complemented
52C37×#548C2211yescharacteristic
53C37×#548C2211yescharacteristic
54C37×#548C2211yescharacteristic, complemented
55C37×#548C2211yescharacteristic, complemented
56C37×#546—21no—
57C37×#546—21no—
58C37×#546C2211yescharacteristic
59C37×#546C2211yescharacteristic
60D42×C37C2211yescharacteristic
61D42×C37C2211yescharacteristic
62C37×#542—21no—
63C37×#542C2211yescharacteristic
64C37×#542C2211yescharacteristic
65C37×#542C2211yescharacteristic, complemented
66C37×#541—21no—
67C37×#541C2211yescharacteristic, complemented
68C37×#538—21no—
69C37×#538—21no—
70C37×#538—21no—
71C37×#535C2211yescharacteristic
72C37×#535C2211yescharacteristic
73C37×#534—21no—
74C37×#532C2211yescharacteristic
75C37×#529—21no—
76C37×#529—21no—
77C37×#529C2211yescharacteristic
78C37×#529C2211yescharacteristic, complemented
79C2×#124×C37C2211yescharacteristic
80C37×#520C2211yescharacteristic, complemented
81C37×#519C2211yescharacteristic, complemented
82C2×C4×Q8×C37C2211yescharacteristic, complemented
83C37×#497C2211yescharacteristic, complemented
84C37×#496C2211yescharacteristic
85C37×#495C2211yescharacteristic, complemented
86C37×#495C2211yescharacteristic, complemented
87C37×#495C2211yescharacteristic, complemented
88C37×#492C2211yescharacteristic
89C37×#490C2211yescharacteristic
90C37×#489C2211yescharacteristic, complemented
91C37×#488C2211yescharacteristic, complemented
92C37×#488C2211yescharacteristic, complemented
93C37×#488C2211yescharacteristic, complemented
94C37×#486C2211yescharacteristic
95C37×#485C2211yescharacteristic, complemented
96C37×#483C2211yescharacteristic, complemented
97C37×#482C2211yescharacteristic
98C37×#481C2211yescharacteristic
99C37×#481C2211yescharacteristic, complemented
100C37×#481C2211yescharacteristic, complemented
101C37×#479C2211yescharacteristic, complemented
102C37×#478C2211yescharacteristic, complemented
103C37×#478C2211yescharacteristic, complemented
104C37×#478C2211yescharacteristic, complemented
105C37×#477C2211yescharacteristic, complemented
106C37×#476C2211yescharacteristic, complemented
107C37×#476C2211yescharacteristic, complemented
108C37×#475C2211yescharacteristic, complemented
109C37×#475C2211yescharacteristic, complemented
110C37×#475C2211yescharacteristic, complemented
111C37×#470C2211yescharacteristic, complemented
112C37×#470C2211yescharacteristic, complemented
113C37×#469C2211yescharacteristic
114C37×#468C2211yescharacteristic
115C37×#467C2211yescharacteristic, complemented
116C37×#466C2211yescharacteristic, complemented
117C37×#466C2211yescharacteristic, complemented
118C37×#465C2211yescharacteristic
119C37×#465C2211yescharacteristic
120C37×#465C2211yescharacteristic, complemented
121C37×#465C2211yescharacteristic, complemented
122C37×#465C2211yescharacteristic, complemented
123C37×#464C2211yescharacteristic, complemented
124C37×#464C2211yescharacteristic, complemented
125C37×#464C2211yescharacteristic, complemented
126C37×#464C2211yescharacteristic, complemented
127C37×#464C2211yescharacteristic, complemented
128C37×#464C2211yescharacteristic, complemented
129C37×#464C2211yescharacteristic, complemented
130C37×#464C2211yescharacteristic, complemented
131C37×#464C2211yescharacteristic, complemented
132C37×#464C2211yescharacteristic, complemented
133C37×#464C2211yescharacteristic, complemented
134C37×#464C2211yescharacteristic, complemented
135C37×#464C2211yescharacteristic, complemented
136C37×#464C2211yescharacteristic, complemented
137C37×#463C2211yescharacteristic, complemented
138C37×#463C2211yescharacteristic, complemented
139C37×#463C2211yescharacteristic, complemented
140C37×#463C2211yescharacteristic, complemented
141C37×#463C2211yescharacteristic, complemented
142C37×#463C2211yescharacteristic, complemented
143C37×#462C2211yescharacteristic, complemented
144C37×#461C2211yescharacteristic, complemented
145C37×#460C2211yescharacteristic
146C37×#460C2211yescharacteristic
147C37×#460C2211yescharacteristic
148C37×#460C2211yescharacteristic, complemented
149C37×#460C2211yescharacteristic, complemented
150C37×#460C2211yescharacteristic, complemented
151C37×#459C2211yescharacteristic
152C37×#459C2211yescharacteristic, complemented
153C37×#452C2211yescharacteristic, complemented
154C37×#452C2211yescharacteristic, complemented
155C37×#452C2211yescharacteristic, complemented
156C37×#452C2211yescharacteristic, complemented
157C37×#451C2211yescharacteristic, complemented
158C37×#451C2211yescharacteristic, complemented
159C37×#450C2211yescharacteristic
160C37×#450C2211yescharacteristic, complemented
161C37×#450C2211yescharacteristic, complemented
162C37×#450C2211yescharacteristic, complemented
163C37×#449C2211yescharacteristic
164C37×#449C2211yescharacteristic, complemented
165C37×#448C2211yescharacteristic
166C37×#448C2211yescharacteristic, complemented
167C37×#448C2211yescharacteristic, complemented
168C37×#448C2211yescharacteristic, complemented
169C37×#447C2211yescharacteristic
170C37×#447C2211yescharacteristic, complemented
171C37×#446C2211yescharacteristic, complemented
172C8×Q8×C37C2211yescharacteristic, complemented
173C37×#442C2211yescharacteristic, complemented
174C37×#441C2211yescharacteristic, complemented
175C37×#441C2211yescharacteristic, complemented
176C37×#440C2211yescharacteristic, complemented
177C4×Q16×C37C2211yescharacteristic, complemented
178C4×SD16×C37C2211yescharacteristic, complemented
179C4×SD16×C37C2211yescharacteristic, complemented
180C4×SD16×C37C2211yescharacteristic, complemented
181C4×SD16×C37C2211yescharacteristic, complemented
182C4×SD16×C37C2211yescharacteristic, complemented
183C4×SD16×C37C2211yescharacteristic, complemented
184C4×SD16×C37C2211yescharacteristic, complemented
185C37×#436C2211yescharacteristic, complemented
186C37×#435C2211yescharacteristic, complemented
187C37×#435C2211yescharacteristic, complemented
188C8×D4×C37C2211yescharacteristic, complemented
189C8×D4×C37C2211yescharacteristic, complemented
190C8×D4×C37C2211yescharacteristic, complemented
191C37×#433C2211yescharacteristic, complemented
192C37×#433C2211yescharacteristic, complemented
193C37×#431C2211yescharacteristic, complemented
194C37×#424C2211yescharacteristic, complemented
195C37×#424C2211yescharacteristic, complemented
196C2×C4⋊C8×C37C2211yescharacteristic, complemented
197C37×#418C2211yescharacteristic, complemented
198C37×#417C2211yescharacteristic, complemented
199C37×#416C2211yescharacteristic, complemented
200C2×#103×C37C2211yescharacteristic, complemented
201C2×#102×C37C2211yescharacteristic
202C2×#102×C37C2211yescharacteristic, complemented
203C2×#41×C37—21no—
204C2×#41×C37C2311yescharacteristic
205C2×#41×C37C2311yescharacteristic
206C2×#41×C37C2311yescharacteristic
207C22×Q8×C37C2311yescharacteristic
208C22×Q8×C37C2311yescharacteristic
209C22×Q8×C37C2311yescharacteristic
210C22×D4×C37—21no—
211C22×D4×C37—21no—
212C22×D4×C37C2311yescharacteristic
213C22×D4×C37C2311yescharacteristic
214C22×D4×C37C2311yescharacteristic
215#137×C37—42no—
216AGL(1,ℤ/8)×C37—42no—
217#135×C37—42no—
218C2×Q16×C37—42no—
219C2×Q16×C37C2311yescharacteristic
220C2×Q16×C37C2311yescharacteristic
221C2×Q16×C37C2311yescharacteristic
222C2×Q16×C37C2311yescharacteristic
223C2×Q16×C37C2311yescharacteristic
224C2×Q16×C37C2311yescharacteristic
225C2×SD16×C37—42no—
226C2×SD16×C37—42no—
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×SD16×C37C2311yescharacteristic
240C2×SD16×C37C2311yescharacteristic
241C2×D8×C37C2311yescharacteristic
242C2×D8×C37C2311yescharacteristic
243C2×D8×C37C2311yescharacteristic
244C2×D8×C37C2311yescharacteristic
245C2×M16×C37C2311yescharacteristic
246C2×M16×C37C2311yescharacteristic
247C22×C8×C37C2311yescharacteristic
248C22×C8×C37C2311yescharacteristic
249C22×C8×C37C2311yescharacteristic
250C22×C8×C37C2311yescharacteristic
251C4⋊Q8×C37—21no—
252C4⋊Q8×C37—21no—
253C4⋊Q8×C37C2311yescharacteristic
254C4⋊Q8×C37C2311yescharacteristic
255C4⋊Q8×C37C2311yescharacteristic
256#127×C37C2311yescharacteristic
257#127×C37C2311yescharacteristic
258#127×C37C2311yescharacteristic
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×C37—21no—
269#126×C37D411yescharacteristic
270#126×C37D411yescharacteristic
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×C37D411yescharacteristic
278#125×C37C2311yescharacteristic
279#125×C37C2311yescharacteristic
280#124×C37—21no—
281#124×C37—21no—
282#124×C37—21no—
283#124×C37—21no—
284#124×C37—21no—
285#124×C37—21no—
286#124×C37—21no—
287#124×C37—21no—
288#124×C37—21no—
289#124×C37—21no—
290#124×C37—21no—
291#124×C37—21no—
292#124×C37D411yescharacteristic
293#124×C37C2311yescharacteristic
294#124×C37C2311yescharacteristic
295#124×C37C2311yescharacteristic
296#124×C37C2311yescharacteristic
297#124×C37C2311yescharacteristic
298#124×C37C2311yescharacteristic
299#124×C37C2311yescharacteristic
300#124×C37C2311yescharacteristic
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×C37D411yescharacteristic
314#123×C37D411yescharacteristic
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×C37—21no—
325C22⋊Q8×C37—21no—
326C22⋊Q8×C37—21no—
327C22⋊Q8×C37D411yescharacteristic
328C22⋊Q8×C37C2311yescharacteristic
329C22⋊Q8×C37C2311yescharacteristic
330C22⋊Q8×C37C2311yescharacteristic
331C22⋊Q8×C37C2311yescharacteristic
332C22⋊Q8×C37C2311yescharacteristic
333C22⋊Q8×C37C2311yescharacteristic
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×C37D411yescharacteristic
349#121×C37C2311yescharacteristic
350#121×C37C2311yescharacteristic
351#121×C37C2311yescharacteristic
352#121×C37C2311yescharacteristic
353#121×C37C2311yescharacteristic
354#121×C37C2311yescharacteristic
355#120×C37—21no—
356#120×C37—21no—
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×C37—21no—
366C4×Q8×C37—21no—
367C4×Q8×C37—21no—
368C4×Q8×C37—21no—
369C4×Q8×C37—21no—
370C4×Q8×C37C2311yescharacteristic
371C4×Q8×C37C2311yescharacteristic
372C4×Q8×C37C2311yescharacteristic
373C4×Q8×C37C2311yescharacteristic
374C4×Q8×C37C2311yescharacteristic
375C4×Q8×C37C2311yescharacteristic
376C4×Q8×C37C2311yescharacteristic
377C4×Q8×C37C2311yescharacteristic
378C4×Q8×C37C2311yescharacteristic
379C4×Q8×C37C2311yescharacteristic
380C4×Q8×C37C2311yescharacteristic
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×C37—21no—
389C4×D4×C37—21no—
390C4×D4×C37—21no—
391C4×D4×C37—21no—
392C4×D4×C37—21no—
393C4×D4×C37—21no—
394C4×D4×C37C2311yescharacteristic
395C4×D4×C37C2311yescharacteristic
396C4×D4×C37C2311yescharacteristic
397C4×D4×C37C2311yescharacteristic
398C4×D4×C37C2311yescharacteristic
399C4×D4×C37C2311yescharacteristic
400C4×D4×C37C2311yescharacteristic
401C4×D4×C37C2311yescharacteristic
402C4×D4×C37C2311yescharacteristic
403#117×C37—21no—
404#117×C37—21no—
405#117×C37—21no—
406#117×C37—21no—
407#117×C37—21no—
408#117×C37—21no—
409#117×C37C2311yescharacteristic
410#117×C37C2311yescharacteristic
411#117×C37C2311yescharacteristic
412C2×C4⋊C4×C37—21no—
413C2×C4⋊C4×C37—21no—
414C2×C4⋊C4×C37C2311yescharacteristic
415C2×C4⋊C4×C37C2311yescharacteristic
416C2×C22⋊C4×C37—21no—
417C2×C22⋊C4×C37—21no—
418C2×C22⋊C4×C37—21no—
419C2×C22⋊C4×C37—21no—
420C2×C42×C37—21no—
421C2×C42×C37C2311yescharacteristic
422#107×C37C2311yescharacteristic
423#107×C37C2311yescharacteristic
424#106×C37C2311yescharacteristic
425#106×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—82no—
494C2×Q8×C37—21no—
495C2×Q8×C37—21no—
496C2×Q8×C37—21no—
497C2×Q8×C37—21no—
498C2×Q8×C37—21no—
499C2×Q8×C37—22no—
500C2×Q8×C37—22no—
501C2×Q8×C37—41no—
502C2×Q8×C37—41no—
503C2×Q8×C37—41no—
504C2×Q8×C37—41no—
505C2×Q8×C37C2×D411yescharacteristic
506C2×Q8×C37C2411yescharacteristic
507C2×Q8×C37C2411yescharacteristic
508C2×Q8×C37C2411yescharacteristic
509C2×Q8×C37C2411yescharacteristic
510C2×Q8×C37C2411yescharacteristic
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—41no—
530C2×D4×C37—41no—
531C2×D4×C37—41no—
532C2×D4×C37—41no—
533C2×D4×C37—41no—
534C2×D4×C37—41no—
535C2×D4×C37—82no—
536C2×D4×C37—82no—
537C2×D4×C37C2×D411yescharacteristic
538C2×D4×C37C2×D411yescharacteristic
539C2×D4×C37C2×D411yescharacteristic
540C2×D4×C37C2411yescharacteristic
541C2×D4×C37C2411yescharacteristic
542C2×D4×C37C2411yescharacteristic
543C2×D4×C37C2411yescharacteristic
544C2×D4×C37C2411yescharacteristic
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×C37C2×D411yescharacteristic
560C22×C4×C37C2×D411yescharacteristic
561C22×C4×C37C2411yescharacteristic
562C22×C4×C37C2411yescharacteristic
563C22×C4×C37C2411yescharacteristic
564Q16×C37—22no—
565Q16×C37—22no—
566Q16×C37—41no—
567Q16×C37—41no—
568Q16×C37—41no—
569Q16×C37—41no—
570SD16×C37—22no—
571SD16×C37—22no—
572SD16×C37—22no—
573SD16×C37—22no—
574SD16×C37—41no—
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—41no—
585D8×C37—41no—
586D8×C37—41no—
587D8×C37—41no—
588M16×C37—41no—
589M16×C37—41no—
590C2×C8×C37—41no—
591C2×C8×C37—41no—
592C2×C8×C37—41no—
593C2×C8×C37—41no—
594C2×C8×C37C2411yescharacteristic
595C2×C8×C37C2411yescharacteristic
596C2×C8×C37C2411yescharacteristic
597C2×C8×C37C2411yescharacteristic
598C2×C8×C37C2411yescharacteristic
599C2×C8×C37C2411yescharacteristic
600C2×C8×C37C2411yescharacteristic
601C2×C8×C37C2411yescharacteristic
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×C37C2×D411yescharacteristic
629C4⋊C4×C37C2×D411yescharacteristic
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×C37C2411yescharacteristic
639C4⋊C4×C37C2411yescharacteristic
640C4⋊C4×C37C2411yescharacteristic
641C4⋊C4×C37C2411yescharacteristic
642C4⋊C4×C37C2411yescharacteristic
643C4⋊C4×C37C2411yescharacteristic
644C22⋊C4×C37—21no—
645C22⋊C4×C37—21no—
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×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
687C22⋊C4×C37C2×D411yescharacteristic
688C22⋊C4×C37C2×D411yescharacteristic
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×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—42no—
712C23×C37—81no—
713C23×C37—81no—
714C23×C37—81no—
715C23×C37—81no—
716C23×C37—81no—
717C23×C37—81no—
718C23×C37—81no—
719C23×C37—81no—
720C23×C37C22×D411yescharacteristic
721C23×C37C22×D411yescharacteristic
722C23×C37C22×D411yescharacteristic
723Q8×C37—21no—
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—42no—
734Q8×C37—42no—
735Q8×C37—81no—
736Q8×C37—81no—
737Q8×C37—81no—
738Q8×C37H(5,𝔽2)12yes—
739D4×C37—22no—
740D4×C37—22no—
741D4×C37—21no—
742D4×C37—21no—
743D4×C37—21no—
744D4×C37—21no—
745D4×C37—21no—
746D4×C37—21no—
747D4×C37—21no—
748D4×C37—21no—
749D4×C37—21no—
750D4×C37—21no—
751D4×C37—41no—
752D4×C37—42no—
753D4×C37—42no—
754D4×C37—42no—
755D4×C37—42no—
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—
770C2×C4×C37—22no—
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—21no—
788C2×C4×C37—41no—
789C2×C4×C37—42no—
790C2×C4×C37—42no—
791C2×C4×C37—42no—
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×C37C22×D411yescharacteristic
804C2×C4×C37C22×D411yescharacteristic
805C2×C4×C37C22×D411yescharacteristic
806C2×C4×C37C22×D411yescharacteristic
807C2×C4×C37C22×D411yescharacteristic
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×C37C2511yescharacteristic
815C8×C37—21no—
816C8×C37—21no—
817C8×C37—21no—
818C8×C37—21no—
819C8×C37—21no—
820C8×C37—21no—
821C8×C37—21no—
822C8×C37—21no—
823#62066C3711yesmaximal, characteristic, direct product factor, Sylow
824C22×C37—21no—
825C22×C37—21no—
826C22×C37—21no—
827C22×C37—21no—
828C22×C37—21no—
829C22×C37—21no—
830C22×C37—21no—
831C22×C37—21no—
832C22×C37—41no—
833C22×C37—41no—
834C22×C37—41no—
835C22×C37—41no—
836C22×C37—41no—
837C22×C37—41no—
838C22×C37—41no—
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—162no—
848C22×C37—162no—
849C22×C37—162no—
850C22×C37#57712yes—
851C22×C37C23×D411yescharacteristic
852C4×C37—21no—
853C4×C37—21no—
854C4×C37—21no—
855C4×C37—21no—
856C4×C37—21no—
857C4×C37—21no—
858C4×C37—21no—
859C4×C37—22no—
860C4×C37—21no—
861C4×C37—21no—
862C4×C37—21no—
863C4×C37—21no—
864C4×C37—41no—
865C4×C37—41no—
866C4×C37—41no—
867C4×C37—41no—
868C4×C37—41no—
869C4×C37—41no—
870C4×C37—41no—
871C4×C37—41no—
872C4×C37—41no—
873C4×C37—41no—
874C4×C37C2×H(5,𝔽2)11yescharacteristic
875C4×C37#58511yescharacteristic
876#3558C2×C3711yescharacteristic, complemented
877#3516C2×C3711yescharacteristic, complemented
878#3401C2×C3711yescharacteristic, complemented
879#3394C2×C3711yescharacteristic, complemented
880#3371C2×C3711yescharacteristic, complemented
881#3365C2×C3711yescharacteristic, complemented
882#3323C2×C3711yescharacteristic, complemented
883#3318C2×C3711yescharacteristic, complemented
884#3316C2×C3711yescharacteristic, complemented
885#3301C2×C3711yescharacteristic, complemented
886#3296C2×C3711yescharacteristic, complemented
887#3295C2×C3711yescharacteristic, complemented
888#3285C2×C3711yescharacteristic, complemented
889#3282C2×C3711yescharacteristic, complemented
890D4×SD16C2×C3711yescharacteristic, complemented
891#3275C2×C3711yescharacteristic, complemented
892#3270C2×C3711yescharacteristic, complemented
893#3265C2×C3711yescharacteristic, complemented
894#3263C2×C3711yescharacteristic, complemented
895#3258C2×C3711yescharacteristic, complemented
896#3247C2×C3711yescharacteristic, complemented
897#3224C2×C3711yescharacteristic, complemented
898#3222C2×C3711yescharacteristic, complemented
899#3211C2×C3711yescharacteristic, complemented
900#3125C2×C3711yescharacteristic, complemented
901#3121C2×C3711yescharacteristic, complemented
902#3103C2×C3711yescharacteristic, complemented
903#3045C2×C3711yescharacteristic, complemented
904#3043C2×C3711yescharacteristic, complemented
905C2×#464C2×C3711yescharacteristic, complemented
906#2994C2×C3711yescharacteristic, complemented
907C2×C37—22no—
908C2×C37—41no—
909C2×C37—41no—
910C2×C37—81no—
911C2×C37—81no—
912C2×C37—81no—
913C2×C37—81no—
914C2×C37—81no—
915C2×C37#348811yescharacteristic
916C2×C37C2×#57711yescharacteristic
917C2×C37#358411yescharacteristic
918C2×#137C22×C3711yescharacteristic, complemented
919C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
920C2×#135C22×C3711yescharacteristic, complemented
921C22×Q16C22×C3711yescharacteristic, complemented
922C22×SD16C22×C3711yescharacteristic
923C22×SD16C22×C3711yescharacteristic, complemented
924#562—21no—
925H(3,𝔽4)—21no—
926#559C22×C3711yescharacteristic
927#559C22×C3711yescharacteristic
928#557C22×C3711yescharacteristic, complemented
929#556—21no—
930#556C22×C3711yescharacteristic, complemented
931#554—21no—
932#554C22×C3711yescharacteristic, complemented
933#553—21no—
934#553C22×C3711yescharacteristic, complemented
935#552—21no—
936#552C22×C3711yescharacteristic, complemented
937D4×Q8C22×C3711yescharacteristic, complemented
938#548C22×C3711yescharacteristic
939#548C22×C3711yescharacteristic
940#548C22×C3711yescharacteristic, complemented
941#548C22×C3711yescharacteristic, complemented
942#546—21no—
943#546—21no—
944#546C22×C3711yescharacteristic
945#546C22×C3711yescharacteristic
946D42C22×C3711yescharacteristic
947D42C22×C3711yescharacteristic
948#542—21no—
949#542C22×C3711yescharacteristic
950#542C22×C3711yescharacteristic
951#542C22×C3711yescharacteristic, complemented
952#541—21no—
953#541C22×C3711yescharacteristic, complemented
954#538—21no—
955#538—21no—
956#538—21no—
957#535C22×C3711yescharacteristic
958#535C22×C3711yescharacteristic
959#534—21no—
960#532C22×C3711yescharacteristic
961#529—21no—
962#529—21no—
963#529C22×C3711yescharacteristic
964#529C22×C3711yescharacteristic, complemented
965C2×#124C22×C3711yescharacteristic
966#520C22×C3711yescharacteristic, complemented
967#519C22×C3711yescharacteristic, complemented
968C2×C4×Q8C22×C3711yescharacteristic, complemented
969#497C22×C3711yescharacteristic, complemented
970#496C22×C3711yescharacteristic
971#495C22×C3711yescharacteristic, complemented
972#495C22×C3711yescharacteristic, complemented
973#495C22×C3711yescharacteristic, complemented
974#492C22×C3711yescharacteristic
975#490C22×C3711yescharacteristic
976#489C22×C3711yescharacteristic, complemented
977#488C22×C3711yescharacteristic, complemented
978#488C22×C3711yescharacteristic, complemented
979#488C22×C3711yescharacteristic, complemented
980#486C22×C3711yescharacteristic
981#485C22×C3711yescharacteristic, complemented
982#483C22×C3711yescharacteristic, complemented
983#482C22×C3711yescharacteristic
984#481C22×C3711yescharacteristic
985#481C22×C3711yescharacteristic, complemented
986#481C22×C3711yescharacteristic, complemented
987#479C22×C3711yescharacteristic, complemented
988#478C22×C3711yescharacteristic, complemented
989#478C22×C3711yescharacteristic, complemented
990#478C22×C3711yescharacteristic, complemented
991#477C22×C3711yescharacteristic, complemented
992#476C22×C3711yescharacteristic, complemented
993#476C22×C3711yescharacteristic, complemented
994#475C22×C3711yescharacteristic, complemented
995#475C22×C3711yescharacteristic, complemented
996#475C22×C3711yescharacteristic, complemented
997#470C22×C3711yescharacteristic, complemented
998#470C22×C3711yescharacteristic, complemented
999#469C22×C3711yescharacteristic
1000#468C22×C3711yescharacteristic
1001#467C22×C3711yescharacteristic, complemented
1002#466C22×C3711yescharacteristic, complemented
1003#466C22×C3711yescharacteristic, complemented
1004#465C22×C3711yescharacteristic
1005#465C22×C3711yescharacteristic
1006#465C22×C3711yescharacteristic, complemented
1007#465C22×C3711yescharacteristic, complemented
1008#465C22×C3711yescharacteristic, complemented
1009#464C22×C3711yescharacteristic, complemented
1010#464C22×C3711yescharacteristic, complemented
1011#464C22×C3711yescharacteristic, complemented
1012#464C22×C3711yescharacteristic, complemented
1013#464C22×C3711yescharacteristic, complemented
1014#464C22×C3711yescharacteristic, complemented
1015#464C22×C3711yescharacteristic, complemented
1016#464C22×C3711yescharacteristic, complemented
1017#464C22×C3711yescharacteristic, complemented
1018#464C22×C3711yescharacteristic, complemented
1019#464C22×C3711yescharacteristic, complemented
1020#464C22×C3711yescharacteristic, complemented
1021#464C22×C3711yescharacteristic, complemented
1022#464C22×C3711yescharacteristic, complemented
1023#463C22×C3711yescharacteristic, complemented
1024#463C22×C3711yescharacteristic, complemented
1025#463C22×C3711yescharacteristic, complemented
1026#463C22×C3711yescharacteristic, complemented
1027#463C22×C3711yescharacteristic, complemented
1028#463C22×C3711yescharacteristic, complemented
1029#462C22×C3711yescharacteristic, complemented
1030#461C22×C3711yescharacteristic, complemented
1031#460C22×C3711yescharacteristic
1032#460C22×C3711yescharacteristic
1033#460C22×C3711yescharacteristic
1034#460C22×C3711yescharacteristic, complemented
1035#460C22×C3711yescharacteristic, complemented
1036#460C22×C3711yescharacteristic, complemented
1037#459C22×C3711yescharacteristic
1038#459C22×C3711yescharacteristic, complemented
1039#452C22×C3711yescharacteristic, complemented
1040#452C22×C3711yescharacteristic, complemented
1041#452C22×C3711yescharacteristic, complemented
1042#452C22×C3711yescharacteristic, complemented
1043#451C22×C3711yescharacteristic, complemented
1044#451C22×C3711yescharacteristic, complemented
1045#450C22×C3711yescharacteristic
1046#450C22×C3711yescharacteristic, complemented
1047#450C22×C3711yescharacteristic, complemented
1048#450C22×C3711yescharacteristic, complemented
1049#449C22×C3711yescharacteristic
1050#449C22×C3711yescharacteristic, complemented
1051#448C22×C3711yescharacteristic
1052#448C22×C3711yescharacteristic, complemented
1053#448C22×C3711yescharacteristic, complemented
1054#448C22×C3711yescharacteristic, complemented
1055#447C22×C3711yescharacteristic
1056#447C22×C3711yescharacteristic, complemented
1057#446C22×C3711yescharacteristic, complemented
1058C8×Q8C22×C3711yescharacteristic, complemented
1059#442C22×C3711yescharacteristic, complemented
1060#441C22×C3711yescharacteristic, complemented
1061#441C22×C3711yescharacteristic, complemented
1062#440C22×C3711yescharacteristic, complemented
1063C4×Q16C22×C3711yescharacteristic, complemented
1064C4×SD16C22×C3711yescharacteristic, complemented
1065C4×SD16C22×C3711yescharacteristic, complemented
1066C4×SD16C22×C3711yescharacteristic, complemented
1067C4×SD16C22×C3711yescharacteristic, complemented
1068C4×SD16C22×C3711yescharacteristic, complemented
1069C4×SD16C22×C3711yescharacteristic, complemented
1070C4×SD16C22×C3711yescharacteristic, complemented
1071#436C22×C3711yescharacteristic, complemented
1072#435C22×C3711yescharacteristic, complemented
1073#435C22×C3711yescharacteristic, complemented
1074C8×D4C22×C3711yescharacteristic, complemented
1075C8×D4C22×C3711yescharacteristic, complemented
1076C8×D4C22×C3711yescharacteristic, complemented
1077#433C22×C3711yescharacteristic, complemented
1078#433C22×C3711yescharacteristic, complemented
1079#431C22×C3711yescharacteristic, complemented
1080#424C22×C3711yescharacteristic, complemented
1081#424C22×C3711yescharacteristic, complemented
1082C2×C4⋊C8C22×C3711yescharacteristic, complemented
1083#418C22×C3711yescharacteristic, complemented
1084#417C22×C3711yescharacteristic, complemented
1085#416C22×C3711yescharacteristic, complemented
1086C2×#103C22×C3711yescharacteristic, complemented
1087C2×#102C22×C3711yescharacteristic
1088C2×#102C22×C3711yescharacteristic, complemented
1089C37#6206611yescharacteristic, direct product factor, Sylow
1090C2×#41—21no—
1091C2×#41C23×C3711yescharacteristic
1092C2×#41C23×C3711yescharacteristic
1093C2×#41C23×C3711yescharacteristic
1094C22×Q8C23×C3711yescharacteristic
1095C22×Q8C23×C3711yescharacteristic
1096C22×Q8C23×C3711yescharacteristic
1097C22×D4—21no—
1098C22×D4—21no—
1099C22×D4C23×C3711yescharacteristic
1100C22×D4C23×C3711yescharacteristic
1101C22×D4C23×C3711yescharacteristic
1102#137—42no—
1103AGL(1,ℤ/8)—42no—
1104#135—42no—
1105C2×Q16—42no—
1106C2×Q16C23×C3711yescharacteristic
1107C2×Q16C23×C3711yescharacteristic
1108C2×Q16C23×C3711yescharacteristic
1109C2×Q16C23×C3711yescharacteristic
1110C2×Q16C23×C3711yescharacteristic
1111C2×Q16C23×C3711yescharacteristic
1112C2×SD16—42no—
1113C2×SD16—42no—
1114C2×SD16C23×C3711yescharacteristic
1115C2×SD16C23×C3711yescharacteristic
1116C2×SD16C23×C3711yescharacteristic
1117C2×SD16C23×C3711yescharacteristic
1118C2×SD16C23×C3711yescharacteristic
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×D8C23×C3711yescharacteristic
1129C2×D8C23×C3711yescharacteristic
1130C2×D8C23×C3711yescharacteristic
1131C2×D8C23×C3711yescharacteristic
1132C2×M16C23×C3711yescharacteristic
1133C2×M16C23×C3711yescharacteristic
1134C22×C8C23×C3711yescharacteristic
1135C22×C8C23×C3711yescharacteristic
1136C22×C8C23×C3711yescharacteristic
1137C22×C8C23×C3711yescharacteristic
1138C4⋊Q8—21no—
1139C4⋊Q8—21no—
1140C4⋊Q8C23×C3711yescharacteristic
1141C4⋊Q8C23×C3711yescharacteristic
1142C4⋊Q8C23×C3711yescharacteristic
1143#127C23×C3711yescharacteristic
1144#127C23×C3711yescharacteristic
1145#127C23×C3711yescharacteristic
1146#126—21no—
1147#126—21no—
1148#126—21no—
1149#126—21no—
1150#126—21no—
1151#126—21no—
1152#126—21no—
1153#126—21no—
1154#126—21no—
1155#126—21no—
1156#126D4×C3711yescharacteristic
1157#126D4×C3711yescharacteristic
1158#125—21no—
1159#125—21no—
1160#125—21no—
1161#125—21no—
1162#125—21no—
1163#125—21no—
1164#125D4×C3711yescharacteristic
1165#125C23×C3711yescharacteristic
1166#125C23×C3711yescharacteristic
1167#124—21no—
1168#124—21no—
1169#124—21no—
1170#124—21no—
1171#124—21no—
1172#124—21no—
1173#124—21no—
1174#124—21no—
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124—21no—
1179#124D4×C3711yescharacteristic
1180#124C23×C3711yescharacteristic
1181#124C23×C3711yescharacteristic
1182#124C23×C3711yescharacteristic
1183#124C23×C3711yescharacteristic
1184#124C23×C3711yescharacteristic
1185#124C23×C3711yescharacteristic
1186#124C23×C3711yescharacteristic
1187#124C23×C3711yescharacteristic
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#123D4×C3711yescharacteristic
1201#123D4×C3711yescharacteristic
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—21no—
1207C22⋊Q8—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8D4×C3711yescharacteristic
1215C22⋊Q8C23×C3711yescharacteristic
1216C22⋊Q8C23×C3711yescharacteristic
1217C22⋊Q8C23×C3711yescharacteristic
1218C22⋊Q8C23×C3711yescharacteristic
1219C22⋊Q8C23×C3711yescharacteristic
1220C22⋊Q8C23×C3711yescharacteristic
1221#121—21no—
1222#121—21no—
1223#121—21no—
1224#121—21no—
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#121D4×C3711yescharacteristic
1236#121C23×C3711yescharacteristic
1237#121C23×C3711yescharacteristic
1238#121C23×C3711yescharacteristic
1239#121C23×C3711yescharacteristic
1240#121C23×C3711yescharacteristic
1241#121C23×C3711yescharacteristic
1242#120—21no—
1243#120—21no—
1244#120—21no—
1245#120—21no—
1246#120—21no—
1247#120—21no—
1248#120—21no—
1249#120—21no—
1250#120—21no—
1251#120—21no—
1252C4×Q8—21no—
1253C4×Q8—21no—
1254C4×Q8—21no—
1255C4×Q8—21no—
1256C4×Q8—21no—
1257C4×Q8C23×C3711yescharacteristic
1258C4×Q8C23×C3711yescharacteristic
1259C4×Q8C23×C3711yescharacteristic
1260C4×Q8C23×C3711yescharacteristic
1261C4×Q8C23×C3711yescharacteristic
1262C4×Q8C23×C3711yescharacteristic
1263C4×Q8C23×C3711yescharacteristic
1264C4×Q8C23×C3711yescharacteristic
1265C4×Q8C23×C3711yescharacteristic
1266C4×Q8C23×C3711yescharacteristic
1267C4×Q8C23×C3711yescharacteristic
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×D4C23×C3711yescharacteristic
1282C4×D4C23×C3711yescharacteristic
1283C4×D4C23×C3711yescharacteristic
1284C4×D4C23×C3711yescharacteristic
1285C4×D4C23×C3711yescharacteristic
1286C4×D4C23×C3711yescharacteristic
1287C4×D4C23×C3711yescharacteristic
1288C4×D4C23×C3711yescharacteristic
1289C4×D4C23×C3711yescharacteristic
1290#117—21no—
1291#117—21no—
1292#117—21no—
1293#117—21no—
1294#117—21no—
1295#117—21no—
1296#117C23×C3711yescharacteristic
1297#117C23×C3711yescharacteristic
1298#117C23×C3711yescharacteristic
1299C2×C4⋊C4—21no—
1300C2×C4⋊C4—21no—
1301C2×C4⋊C4C23×C3711yescharacteristic
1302C2×C4⋊C4C23×C3711yescharacteristic
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—21no—
1307C2×C42—21no—
1308C2×C42C23×C3711yescharacteristic
1309#107C23×C3711yescharacteristic
1310#107C23×C3711yescharacteristic
1311#106C23×C3711yescharacteristic
1312#106C23×C3711yescharacteristic
1313#106C23×C3711yescharacteristic
1314#106C23×C3711yescharacteristic
1315#106C23×C3711yescharacteristic
1316#106C23×C3711yescharacteristic
1317C4⋊C8C23×C3711yescharacteristic
1318C4⋊C8C23×C3711yescharacteristic
1319C4⋊C8C23×C3711yescharacteristic
1320C4⋊C8C23×C3711yescharacteristic
1321C4⋊C8C23×C3711yescharacteristic
1322C4⋊C8C23×C3711yescharacteristic
1323C4⋊C8C23×C3711yescharacteristic
1324C4⋊C8C23×C3711yescharacteristic
1325C4⋊C8C23×C3711yescharacteristic
1326C4⋊C8C23×C3711yescharacteristic
1327#103C23×C3711yescharacteristic
1328#103C23×C3711yescharacteristic
1329#103C23×C3711yescharacteristic
1330#103C23×C3711yescharacteristic
1331#103C23×C3711yescharacteristic
1332#103C23×C3711yescharacteristic
1333#103C23×C3711yescharacteristic
1334#103C23×C3711yescharacteristic
1335#103C23×C3711yescharacteristic
1336#103C23×C3711yescharacteristic
1337#103C23×C3711yescharacteristic
1338#103C23×C3711yescharacteristic
1339#103C23×C3711yescharacteristic
1340#103C23×C3711yescharacteristic
1341#102C23×C3711yescharacteristic
1342#102C23×C3711yescharacteristic
1343#102C23×C3711yescharacteristic
1344#102C23×C3711yescharacteristic
1345#102C23×C3711yescharacteristic
1346#102C23×C3711yescharacteristic
1347#102C23×C3711yescharacteristic
1348#102C23×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
1359C22⋊C8C23×C3711yescharacteristic
1360C22⋊C8C23×C3711yescharacteristic
1361C22⋊C8C23×C3711yescharacteristic
1362C22⋊C8C23×C3711yescharacteristic
1363C22⋊C8C23×C3711yescharacteristic
1364C22⋊C8C23×C3711yescharacteristic
1365#97C23×C3711yescharacteristic
1366#97C23×C3711yescharacteristic
1367C4×C8C23×C3711yescharacteristic
1368C4×C8C23×C3711yescharacteristic
1369C4×C8C23×C3711yescharacteristic
1370C4×C8C23×C3711yescharacteristic
1371C24—21no—
1372C24—21no—
1373C24—21no—
1374#41—22no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—41no—
1379#41—41no—
1380#41—82no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—21no—
1384C2×Q8—21no—
1385C2×Q8—21no—
1386C2×Q8—22no—
1387C2×Q8—22no—
1388C2×Q8—41no—
1389C2×Q8—41no—
1390C2×Q8—41no—
1391C2×Q8—41no—
1392C2×Q8C2×D4×C3711yescharacteristic
1393C2×Q8C24×C3711yescharacteristic
1394C2×Q8C24×C3711yescharacteristic
1395C2×Q8C24×C3711yescharacteristic
1396C2×Q8C24×C3711yescharacteristic
1397C2×Q8C24×C3711yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
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—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—82no—
1423C2×D4—82no—
1424C2×D4C2×D4×C3711yescharacteristic
1425C2×D4C2×D4×C3711yescharacteristic
1426C2×D4C2×D4×C3711yescharacteristic
1427C2×D4C24×C3711yescharacteristic
1428C2×D4C24×C3711yescharacteristic
1429C2×D4C24×C3711yescharacteristic
1430C2×D4C24×C3711yescharacteristic
1431C2×D4C24×C3711yescharacteristic
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—21no—
1436C22×C4—21no—
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4C2×D4×C3711yescharacteristic
1447C22×C4C2×D4×C3711yescharacteristic
1448C22×C4C24×C3711yescharacteristic
1449C22×C4C24×C3711yescharacteristic
1450C22×C4C24×C3711yescharacteristic
1451Q16—22no—
1452Q16—22no—
1453Q16—41no—
1454Q16—41no—
1455Q16—41no—
1456Q16—41no—
1457SD16—22no—
1458SD16—22no—
1459SD16—22no—
1460SD16—22no—
1461SD16—41no—
1462SD16—41no—
1463SD16—41no—
1464SD16—41no—
1465SD16—41no—
1466SD16—41no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471D8—41no—
1472D8—41no—
1473D8—41no—
1474D8—41no—
1475M16—41no—
1476M16—41no—
1477C2×C8—41no—
1478C2×C8—41no—
1479C2×C8—41no—
1480C2×C8—41no—
1481C2×C8C24×C3711yescharacteristic
1482C2×C8C24×C3711yescharacteristic
1483C2×C8C24×C3711yescharacteristic
1484C2×C8C24×C3711yescharacteristic
1485C2×C8C24×C3711yescharacteristic
1486C2×C8C24×C3711yescharacteristic
1487C2×C8C24×C3711yescharacteristic
1488C2×C8C24×C3711yescharacteristic
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⋊C4—21no—
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⋊C4C2×D4×C3711yescharacteristic
1516C4⋊C4C2×D4×C3711yescharacteristic
1517C4⋊C4C2×D4×C3711yescharacteristic
1518C4⋊C4C2×D4×C3711yescharacteristic
1519C4⋊C4C2×D4×C3711yescharacteristic
1520C4⋊C4C2×D4×C3711yescharacteristic
1521C4⋊C4C2×D4×C3711yescharacteristic
1522C4⋊C4C2×D4×C3711yescharacteristic
1523C4⋊C4C2×D4×C3711yescharacteristic
1524C4⋊C4C2×D4×C3711yescharacteristic
1525C4⋊C4C24×C3711yescharacteristic
1526C4⋊C4C24×C3711yescharacteristic
1527C4⋊C4C24×C3711yescharacteristic
1528C4⋊C4C24×C3711yescharacteristic
1529C4⋊C4C24×C3711yescharacteristic
1530C4⋊C4C24×C3711yescharacteristic
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⋊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⋊C4C2×D4×C3711yescharacteristic
1567C22⋊C4C2×D4×C3711yescharacteristic
1568C22⋊C4C2×D4×C3711yescharacteristic
1569C22⋊C4C2×D4×C3711yescharacteristic
1570C22⋊C4C2×D4×C3711yescharacteristic
1571C22⋊C4C2×D4×C3711yescharacteristic
1572C22⋊C4C2×D4×C3711yescharacteristic
1573C22⋊C4C2×D4×C3711yescharacteristic
1574C22⋊C4C2×D4×C3711yescharacteristic
1575C22⋊C4C2×D4×C3711yescharacteristic
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—21no—
1580C42—21no—
1581C42—21no—
1582C42—21no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42—21no—
1587C42C2×D4×C3711yescharacteristic
1588C42C2×D4×C3711yescharacteristic
1589C42C24×C3711yescharacteristic
1590C42C24×C3711yescharacteristic
1591C42C24×C3711yescharacteristic
1592C42C24×C3711yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—42no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—81no—
1603C23—81no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23C22×D4×C3711yescharacteristic
1608C23C22×D4×C3711yescharacteristic
1609C23C22×D4×C3711yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—41no—
1620Q8—42no—
1621Q8—42no—
1622Q8—81no—
1623Q8—81no—
1624Q8—81no—
1625Q8H(5,𝔽2)×C3712yes—
1626D4—22no—
1627D4—22no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—41no—
1639D4—42no—
1640D4—42no—
1641D4—42no—
1642D4—42no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—81no—
1652D4—81no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
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—41no—
1676C2×C4—42no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—81no—
1684C2×C4—81no—
1685C2×C4—81no—
1686C2×C4—81no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4C22×D4×C3711yescharacteristic
1691C2×C4C22×D4×C3711yescharacteristic
1692C2×C4C22×D4×C3711yescharacteristic
1693C2×C4C22×D4×C3711yescharacteristic
1694C2×C4C22×D4×C3711yescharacteristic
1695C2×C4C22×D4×C3711yescharacteristic
1696C2×C4C22×D4×C3711yescharacteristic
1697C2×C4C22×D4×C3711yescharacteristic
1698C2×C4C22×D4×C3711yescharacteristic
1699C2×C4C22×D4×C3711yescharacteristic
1700C2×C4C22×D4×C3711yescharacteristic
1701C2×C4C25×C3711yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—21no—
1707C8—21no—
1708C8—21no—
1709C8—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—162no—
1734C22—162no—
1735C22—162no—
1736C22C37×#57712yes—
1737C22C23×D4×C3711yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—22no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—21no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4C2×H(5,𝔽2)×C3711yescharacteristic
1761C4C37×#58511yescharacteristic
1762C2—22no—
1763C2—41no—
1764C2—41no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2—81no—
1769C2—81no—
1770C2C37×#348811yescharacteristic
1771C2C2×C37×#57711yescharacteristic
1772C2C37×#358411yescharacteristic
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×#3558C2semidirect
2. C37×#3516C2semidirect
3. C37×#3401C2semidirect
4. C37×#3394C2semidirect
5. C37×#3371C2semidirect
6. C37×#3365C2semidirect
7. C37×#3323C2semidirect
8. C37×#3318C2semidirect
9. C37×#3316C2semidirect
10. C37×#3301C2semidirect
11. C37×#3296C2semidirect
12. C37×#3295C2semidirect
13. C37×#3285C2semidirect
14. C37×#3282C2semidirect
15. D4×SD16×C37C2semidirect
16. C37×#3275C2semidirect
17. C37×#3270C2semidirect
18. C37×#3265C2semidirect
19. C37×#3263C2semidirect
20. C37×#3258C2semidirect
21. C37×#3247C2semidirect
22. C37×#3224C2semidirect
23. C37×#3222C2semidirect
24. C37×#3211C2semidirect
25. C37×#3125C2semidirect
26. C37×#3121C2semidirect
27. C37×#3103C2semidirect
28. C37×#3045C2semidirect
29. C37×#3043C2semidirect
30. C2×C37×#464C2semidirect
31. C37×#2994C2semidirect
32. C2×#137×C37C22semidirect
33. C2×AGL(1,ℤ/8)×C37C22semidirect
34. C2×#135×C37C22semidirect
35. C22×Q16×C37C22semidirect
37. C22×SD16×C37C22semidirect
42. C37×#557C22semidirect
44. C37×#556C22semidirect
46. C37×#554C22semidirect
48. C37×#553C22semidirect
50. C37×#552C22semidirect
51. D4×Q8×C37C22semidirect
54. C37×#548C22semidirect
55. C37×#548C22semidirect
65. C37×#542C22semidirect
67. C37×#541C22semidirect
78. C37×#529C22semidirect
80. C37×#520C22semidirect
81. C37×#519C22semidirect
82. C2×C4×Q8×C37C22semidirect
83. C37×#497C22semidirect
85. C37×#495C22semidirect
86. C37×#495C22semidirect
87. C37×#495C22semidirect
90. C37×#489C22semidirect
91. C37×#488C22semidirect
92. C37×#488C22semidirect
93. C37×#488C22semidirect
95. C37×#485C22semidirect
96. C37×#483C22semidirect
99. C37×#481C22semidirect
100. C37×#481C22semidirect
101. C37×#479C22semidirect
102. C37×#478C22semidirect
103. C37×#478C22semidirect
104. C37×#478C22semidirect
105. C37×#477C22semidirect
106. C37×#476C22semidirect
107. C37×#476C22semidirect
108. C37×#475C22semidirect
109. C37×#475C22semidirect
110. C37×#475C22semidirect
111. C37×#470C22semidirect
112. C37×#470C22semidirect
115. C37×#467C22semidirect
116. C37×#466C22semidirect
117. C37×#466C22semidirect
120. C37×#465C22semidirect
121. C37×#465C22semidirect
122. C37×#465C22semidirect
123. C37×#464C22semidirect
124. C37×#464C22semidirect
125. C37×#464C22semidirect
126. C37×#464C22semidirect
127. C37×#464C22semidirect
128. C37×#464C22semidirect
129. C37×#464C22semidirect
130. C37×#464C22semidirect
131. C37×#464C22semidirect
132. C37×#464C22semidirect
133. C37×#464C22semidirect
134. C37×#464C22semidirect
135. C37×#464C22semidirect
136. C37×#464C22semidirect
137. C37×#463C22semidirect
138. C37×#463C22semidirect
139. C37×#463C22semidirect
140. C37×#463C22semidirect
141. C37×#463C22semidirect
142. C37×#463C22semidirect
143. C37×#462C22semidirect
144. C37×#461C22semidirect
148. C37×#460C22semidirect
149. C37×#460C22semidirect
150. C37×#460C22semidirect
152. C37×#459C22semidirect
153. C37×#452C22semidirect
154. C37×#452C22semidirect
155. C37×#452C22semidirect
156. C37×#452C22semidirect
157. C37×#451C22semidirect
158. C37×#451C22semidirect
160. C37×#450C22semidirect
161. C37×#450C22semidirect
162. C37×#450C22semidirect
164. C37×#449C22semidirect
166. C37×#448C22semidirect
167. C37×#448C22semidirect
168. C37×#448C22semidirect
170. C37×#447C22semidirect
171. C37×#446C22semidirect
172. C8×Q8×C37C22semidirect
173. C37×#442C22semidirect
174. C37×#441C22semidirect
175. C37×#441C22semidirect
176. C37×#440C22semidirect
177. C4×Q16×C37C22semidirect
178. C4×SD16×C37C22semidirect
179. C4×SD16×C37C22semidirect
180. C4×SD16×C37C22semidirect
181. C4×SD16×C37C22semidirect
182. C4×SD16×C37C22semidirect
183. C4×SD16×C37C22semidirect
184. C4×SD16×C37C22semidirect
185. C37×#436C22semidirect
186. C37×#435C22semidirect
187. C37×#435C22semidirect
188. C8×D4×C37C22semidirect
189. C8×D4×C37C22semidirect
190. C8×D4×C37C22semidirect
191. C37×#433C22semidirect
192. C37×#433C22semidirect
193. C37×#431C22semidirect
194. C37×#424C22semidirect
195. C37×#424C22semidirect
196. C2×C4⋊C8×C37C22semidirect
197. C37×#418C22semidirect
198. C37×#417C22semidirect
199. C37×#416C22semidirect
200. C2×#103×C37C22semidirect
202. C2×#102×C37C22semidirect
823. #62066C37direct (N × H)
876. #3558C2×C37semidirect
877. #3516C2×C37semidirect
878. #3401C2×C37semidirect
879. #3394C2×C37semidirect
880. #3371C2×C37semidirect
881. #3365C2×C37semidirect
882. #3323C2×C37semidirect
883. #3318C2×C37semidirect
884. #3316C2×C37semidirect
885. #3301C2×C37semidirect
886. #3296C2×C37semidirect
887. #3295C2×C37semidirect
888. #3285C2×C37semidirect
889. #3282C2×C37semidirect
890. D4×SD16C2×C37semidirect
891. #3275C2×C37semidirect
892. #3270C2×C37semidirect
893. #3265C2×C37semidirect
894. #3263C2×C37semidirect
895. #3258C2×C37semidirect
896. #3247C2×C37semidirect
897. #3224C2×C37semidirect
898. #3222C2×C37semidirect
899. #3211C2×C37semidirect
900. #3125C2×C37semidirect
901. #3121C2×C37semidirect
902. #3103C2×C37semidirect
903. #3045C2×C37semidirect
904. #3043C2×C37semidirect
905. C2×#464C2×C37semidirect
906. #2994C2×C37semidirect
918. C2×#137C22×C37semidirect
919. C2×AGL(1,ℤ/8)C22×C37semidirect
920. C2×#135C22×C37semidirect
921. C22×Q16C22×C37semidirect
923. C22×SD16C22×C37semidirect
928. #557C22×C37semidirect
930. #556C22×C37semidirect
932. #554C22×C37semidirect
934. #553C22×C37semidirect
936. #552C22×C37semidirect
937. D4×Q8C22×C37semidirect
940. #548C22×C37semidirect
941. #548C22×C37semidirect
951. #542C22×C37semidirect
953. #541C22×C37semidirect
964. #529C22×C37semidirect
966. #520C22×C37semidirect
967. #519C22×C37semidirect
968. C2×C4×Q8C22×C37semidirect
969. #497C22×C37semidirect
971. #495C22×C37semidirect
972. #495C22×C37semidirect
973. #495C22×C37semidirect
976. #489C22×C37semidirect
977. #488C22×C37semidirect
978. #488C22×C37semidirect
979. #488C22×C37semidirect
981. #485C22×C37semidirect
982. #483C22×C37semidirect
985. #481C22×C37semidirect
986. #481C22×C37semidirect
987. #479C22×C37semidirect
988. #478C22×C37semidirect
989. #478C22×C37semidirect
990. #478C22×C37semidirect
991. #477C22×C37semidirect
992. #476C22×C37semidirect
993. #476C22×C37semidirect
994. #475C22×C37semidirect
995. #475C22×C37semidirect
996. #475C22×C37semidirect
997. #470C22×C37semidirect
998. #470C22×C37semidirect
1001. #467C22×C37semidirect
1002. #466C22×C37semidirect
1003. #466C22×C37semidirect
1006. #465C22×C37semidirect
1007. #465C22×C37semidirect
1008. #465C22×C37semidirect
1009. #464C22×C37semidirect
1010. #464C22×C37semidirect
1011. #464C22×C37semidirect
1012. #464C22×C37semidirect
1013. #464C22×C37semidirect
1014. #464C22×C37semidirect
1015. #464C22×C37semidirect
1016. #464C22×C37semidirect
1017. #464C22×C37semidirect
1018. #464C22×C37semidirect
1019. #464C22×C37semidirect
1020. #464C22×C37semidirect
1021. #464C22×C37semidirect
1022. #464C22×C37semidirect
1023. #463C22×C37semidirect
1024. #463C22×C37semidirect
1025. #463C22×C37semidirect
1026. #463C22×C37semidirect
1027. #463C22×C37semidirect
1028. #463C22×C37semidirect
1029. #462C22×C37semidirect
1030. #461C22×C37semidirect
1034. #460C22×C37semidirect
1035. #460C22×C37semidirect
1036. #460C22×C37semidirect
1038. #459C22×C37semidirect
1039. #452C22×C37semidirect
1040. #452C22×C37semidirect
1041. #452C22×C37semidirect
1042. #452C22×C37semidirect
1043. #451C22×C37semidirect
1044. #451C22×C37semidirect
1046. #450C22×C37semidirect
1047. #450C22×C37semidirect
1048. #450C22×C37semidirect
1050. #449C22×C37semidirect
1052. #448C22×C37semidirect
1053. #448C22×C37semidirect
1054. #448C22×C37semidirect
1056. #447C22×C37semidirect
1057. #446C22×C37semidirect
1058. C8×Q8C22×C37semidirect
1059. #442C22×C37semidirect
1060. #441C22×C37semidirect
1061. #441C22×C37semidirect
1062. #440C22×C37semidirect
1063. C4×Q16C22×C37semidirect
1064. C4×SD16C22×C37semidirect
1065. C4×SD16C22×C37semidirect
1066. C4×SD16C22×C37semidirect
1067. C4×SD16C22×C37semidirect
1068. C4×SD16C22×C37semidirect
1069. C4×SD16C22×C37semidirect
1070. C4×SD16C22×C37semidirect
1071. #436C22×C37semidirect
1072. #435C22×C37semidirect
1073. #435C22×C37semidirect
1074. C8×D4C22×C37semidirect
1075. C8×D4C22×C37semidirect
1076. C8×D4C22×C37semidirect
1077. #433C22×C37semidirect
1078. #433C22×C37semidirect
1079. #431C22×C37semidirect
1080. #424C22×C37semidirect
1081. #424C22×C37semidirect
1082. C2×C4⋊C8C22×C37semidirect
1083. #418C22×C37semidirect
1084. #417C22×C37semidirect
1085. #416C22×C37semidirect
1086. C2×#103C22×C37semidirect
1088. C2×#102C22×C37semidirect
1089. C37#62066direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35582
C37×#35162
C37×#34012
C37×#33942
C37×#33712
C37×#33652
C37×#33232
C37×#33182
C37×#33162
C37×#33012
C37×#32962
C37×#32952
C37×#32852
C37×#32822
D4×SD16×C372
C37×#32752
C37×#32702
C37×#32652
C37×#32632
C37×#32582
C37×#32472
C37×#32242
C37×#32222
C37×#32112
C37×#31252
C37×#31212
C37×#31032
C37×#30452
C37×#30432
C2×C37×#4642
C37×#29942
#6206637