Finite Group Databasebeta

← C37×#61971 #22683224

Subgroups — C37×#61971 #22683224

Order 9472.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3514C211yesmaximal, characteristic, complemented
2C37×#3481C211yesmaximal, characteristic, complemented
3C37×#3403C211yesmaximal, characteristic, complemented
4C37×#3401C211yesmaximal, characteristic, complemented
5C37×#3376C211yesmaximal, characteristic, complemented
6C37×#3370C211yesmaximal, characteristic, complemented
7C37×#3326C211yesmaximal, characteristic, complemented
8C37×#3322C211yesmaximal, characteristic, complemented
9C37×#3320C211yesmaximal, characteristic, complemented
10C37×#3318C211yesmaximal, characteristic, complemented
11C37×#3316C211yesmaximal, characteristic, complemented
12C37×#3314C211yesmaximal, characteristic, complemented
13C37×#3275C211yesmaximal, characteristic, complemented
14C37×#3273C211yesmaximal, characteristic, complemented
15C37×#3266C211yesmaximal, characteristic, complemented
16C37×#3265C211yesmaximal, characteristic, complemented
17C37×#3264C211yesmaximal, characteristic, complemented
18C37×#3264C211yesmaximal, characteristic, complemented
19C37×#3256C211yesmaximal, characteristic, complemented
20C37×#3251C211yesmaximal, characteristic, complemented
21C37×#3250C211yesmaximal, characteristic, complemented
22C37×#3219C211yesmaximal, characteristic, complemented
23C37×#3213C211yesmaximal, characteristic, complemented
24C37×#3211C211yesmaximal, characteristic, complemented
25C37×#3114C211yesmaximal, characteristic, complemented
26C37×#3111C211yesmaximal, characteristic, complemented
27C37×#3105C211yesmaximal, characteristic, complemented
28C37×#3040C211yesmaximal, characteristic, complemented
29C37×#3036C211yesmaximal, characteristic, complemented
30C2×C37×#463C211yesmaximal, characteristic, complemented
31C37×#2989C211yesmaximal, characteristic, complemented
32C2×#137×C37C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
34C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
36C22×SD16×C37C2211yescharacteristic, complemented
37C22×D8×C37C2211yescharacteristic
38C37×#559C2211yescharacteristic, complemented
39C37×#559C2211yescharacteristic, complemented
40C37×#556C2211yescharacteristic, complemented
41C37×#555—21no—
42C37×#554C2211yescharacteristic, complemented
43C37×#554C2211yescharacteristic, complemented
44C37×#553—21no—
45C37×#553C2211yescharacteristic
46C37×#553C2211yescharacteristic, complemented
47C37×#551—21no—
48C37×#551—21no—
49C37×#551—21no—
50C37×#551—21no—
51D4×Q8×C37C2211yescharacteristic, complemented
52C37×#548C2211yescharacteristic
53C37×#548C2211yescharacteristic, complemented
54C37×#546—21no—
55C37×#546—21no—
56C37×#546C2211yescharacteristic
57C37×#546C2211yescharacteristic
58C37×#546C2211yescharacteristic, complemented
59C37×#546C2211yescharacteristic, complemented
60D42×C37C2211yescharacteristic, complemented
61D42×C37C2211yescharacteristic, complemented
62C37×#542—21no—
63C37×#538—21no—
64C37×#538—21no—
65C37×#532C2211yescharacteristic, complemented
66C37×#532C2211yescharacteristic, complemented
67C37×#529—21no—
68C37×#529C2211yescharacteristic, complemented
69C37×#529C2211yescharacteristic, complemented
70C37×#529C2211yescharacteristic, complemented
71C37×#529C2211yescharacteristic, complemented
72C37×#529C2211yescharacteristic, complemented
73C2×#124×C37C2211yescharacteristic, complemented
74C2×#124×C37C2211yescharacteristic, complemented
75C37×#525—21no—
76C37×#525—21no—
77C37×#518—21no—
78C4×#41×C37C2211yescharacteristic
79C4×#41×C37C2211yescharacteristic, complemented
80C2×C4×D4×C37—21no—
81C2×C4×D4×C37C2211yescharacteristic, complemented
82C2×C4×D4×C37C2211yescharacteristic, complemented
83C37×#497C2211yescharacteristic, complemented
84C37×#496C2211yescharacteristic
85C37×#496C2211yescharacteristic, complemented
86C37×#496C2211yescharacteristic, complemented
87C37×#495C2211yescharacteristic, complemented
88C37×#495C2211yescharacteristic, complemented
89C37×#491C2211yescharacteristic, complemented
90C37×#490C2211yescharacteristic, complemented
91C37×#489C2211yescharacteristic, complemented
92C37×#489C2211yescharacteristic, complemented
93C37×#488C2211yescharacteristic, complemented
94C37×#488C2211yescharacteristic, complemented
95C37×#485C2211yescharacteristic, complemented
96C37×#484C2211yescharacteristic, complemented
97C37×#483C2211yescharacteristic, complemented
98C37×#482C2211yescharacteristic, complemented
99C37×#481C2211yescharacteristic, complemented
100C37×#480C2211yescharacteristic, complemented
101C37×#479C2211yescharacteristic, complemented
102C37×#479C2211yescharacteristic, complemented
103C37×#479C2211yescharacteristic, complemented
104C37×#478C2211yescharacteristic, complemented
105C37×#478C2211yescharacteristic, complemented
106C37×#478C2211yescharacteristic, complemented
107C37×#478C2211yescharacteristic, complemented
108C37×#478C2211yescharacteristic, complemented
109C37×#475C2211yescharacteristic, complemented
110C37×#474C2211yescharacteristic, complemented
111C37×#470C2211yescharacteristic, complemented
112C37×#469C2211yescharacteristic
113C37×#469C2211yescharacteristic, complemented
114C37×#469C2211yescharacteristic, complemented
115C37×#468C2211yescharacteristic, complemented
116C37×#468C2211yescharacteristic, complemented
117C37×#468C2211yescharacteristic, complemented
118C37×#468C2211yescharacteristic, complemented
119C37×#467C2211yescharacteristic, complemented
120C37×#466C2211yescharacteristic
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×#463C2211yescharacteristic
131C37×#463C2211yescharacteristic
132C37×#463C2211yescharacteristic
133C37×#463C2211yescharacteristic, complemented
134C37×#463C2211yescharacteristic, complemented
135C37×#463C2211yescharacteristic, complemented
136C37×#463C2211yescharacteristic, complemented
137C37×#463C2211yescharacteristic, complemented
138C37×#463C2211yescharacteristic, complemented
139C37×#463C2211yescharacteristic, complemented
140C37×#463C2211yescharacteristic, complemented
141C37×#463C2211yescharacteristic, complemented
142C37×#463C2211yescharacteristic, complemented
143C37×#463C2211yescharacteristic, complemented
144C37×#463C2211yescharacteristic, complemented
145C37×#463C2211yescharacteristic, complemented
146C37×#463C2211yescharacteristic, complemented
147C37×#461C2211yescharacteristic, complemented
148C37×#461C2211yescharacteristic, complemented
149C37×#460C2211yescharacteristic, complemented
150C37×#459C2211yescharacteristic
151C37×#459C2211yescharacteristic, complemented
152C37×#459C2211yescharacteristic, complemented
153C37×#452C2211yescharacteristic, complemented
154C37×#452C2211yescharacteristic, complemented
155C37×#452C2211yescharacteristic, complemented
156C37×#451C2211yescharacteristic, complemented
157C37×#450C2211yescharacteristic, complemented
158C37×#450C2211yescharacteristic, complemented
159C37×#450C2211yescharacteristic, complemented
160C37×#449C2211yescharacteristic
161C37×#449C2211yescharacteristic, complemented
162C37×#449C2211yescharacteristic, complemented
163C37×#448C2211yescharacteristic, complemented
164C37×#448C2211yescharacteristic, complemented
165C37×#448C2211yescharacteristic, complemented
166C37×#447C2211yescharacteristic
167C37×#447C2211yescharacteristic
168C37×#447C2211yescharacteristic
169C37×#447C2211yescharacteristic, complemented
170C37×#447C2211yescharacteristic, complemented
171C37×#446C2211yescharacteristic, complemented
172C37×#446C2211yescharacteristic, complemented
173C37×#442C2211yescharacteristic
174C37×#442C2211yescharacteristic, complemented
175C37×#442C2211yescharacteristic, complemented
176C37×#441C2211yescharacteristic, complemented
177C37×#440C2211yescharacteristic, complemented
178C37×#440C2211yescharacteristic, complemented
179C37×#440C2211yescharacteristic, complemented
180C37×#440C2211yescharacteristic, complemented
181C4×SD16×C37C2211yescharacteristic, complemented
182C4×SD16×C37C2211yescharacteristic, complemented
183C4×D8×C37C2211yescharacteristic, complemented
184C4×D8×C37C2211yescharacteristic, complemented
185C37×#436C2211yescharacteristic, complemented
186C37×#436C2211yescharacteristic, complemented
187C37×#435C2211yescharacteristic, complemented
188C37×#435C2211yescharacteristic, complemented
189C37×#435C2211yescharacteristic, complemented
190C37×#435C2211yescharacteristic, complemented
191C37×#432C2211yescharacteristic, complemented
192C37×#432C2211yescharacteristic, complemented
193C37×#431C2211yescharacteristic, complemented
194C37×#423C2211yescharacteristic, complemented
195C37×#423C2211yescharacteristic, complemented
196C2×C4⋊C8×C37C2211yescharacteristic, complemented
197C37×#419C2211yescharacteristic, complemented
198C37×#418C2211yescharacteristic, complemented
199C37×#417C2211yescharacteristic, complemented
200C37×#417C2211yescharacteristic, complemented
201C2×#103×C37C2211yescharacteristic, complemented
202C2×#102×C37C2211yescharacteristic, complemented
203C2×#41×C37—21no—
204C2×#41×C37D411yescharacteristic
205C2×#41×C37C2311yescharacteristic
206C2×#41×C37C2311yescharacteristic
207C2×#41×C37C2311yescharacteristic
208C22×Q8×C37C2311yescharacteristic
209C22×Q8×C37C2311yescharacteristic
210C22×D4×C37—21no—
211C22×D4×C37—21no—
212C22×D4×C37C2311yescharacteristic
213C22×D4×C37C2311yescharacteristic
214C22×D4×C37C2311yescharacteristic
215C22×D4×C37C2311yescharacteristic
216C23×C4×C37—21no—
217C23×C4×C37—21no—
218#137×C37—42no—
219AGL(1,ℤ/8)×C37—42no—
220AGL(1,ℤ/8)×C37—42no—
221AGL(1,ℤ/8)×C37—42no—
222C2×Q16×C37C2311yescharacteristic
223C2×Q16×C37C2311yescharacteristic
224C2×Q16×C37C2311yescharacteristic
225C2×SD16×C37—42no—
226C2×SD16×C37C2311yescharacteristic
227C2×SD16×C37C2311yescharacteristic
228C2×SD16×C37C2311yescharacteristic
229C2×SD16×C37C2311yescharacteristic
230C2×SD16×C37C2311yescharacteristic
231C2×SD16×C37C2311yescharacteristic
232C2×SD16×C37C2311yescharacteristic
233C2×SD16×C37C2311yescharacteristic
234C2×SD16×C37C2311yescharacteristic
235C2×SD16×C37C2311yescharacteristic
236C2×SD16×C37C2311yescharacteristic
237C2×SD16×C37C2311yescharacteristic
238C2×D8×C37—42no—
239C2×D8×C37C2311yescharacteristic
240C2×D8×C37C2311yescharacteristic
241C2×D8×C37C2311yescharacteristic
242C2×D8×C37C2311yescharacteristic
243C2×D8×C37C2311yescharacteristic
244C2×D8×C37C2311yescharacteristic
245C2×D8×C37C2311yescharacteristic
246C2×D8×C37C2311yescharacteristic
247C2×D8×C37C2311yescharacteristic
248C2×M16×C37C2311yescharacteristic
249C2×M16×C37C2311yescharacteristic
250C2×M16×C37C2311yescharacteristic
251C2×M16×C37C2311yescharacteristic
252C22×C8×C37C2311yescharacteristic
253C22×C8×C37C2311yescharacteristic
254C4⋊Q8×C37—21no—
255C4⋊Q8×C37C2311yescharacteristic
256C4⋊Q8×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#125×C37—21no—
269#125×C37C2311yescharacteristic
270#125×C37C2311yescharacteristic
271#125×C37C2311yescharacteristic
272#124×C37—21no—
273#124×C37—21no—
274#124×C37—21no—
275#124×C37—21no—
276#124×C37—21no—
277#124×C37—21no—
278#124×C37—21no—
279#124×C37—21no—
280#124×C37—21no—
281#124×C37C2311yescharacteristic
282#124×C37C2311yescharacteristic
283#124×C37C2311yescharacteristic
284#124×C37C2311yescharacteristic
285#124×C37C2311yescharacteristic
286#124×C37C2311yescharacteristic
287#124×C37C2311yescharacteristic
288#124×C37C2311yescharacteristic
289#124×C37C2311yescharacteristic
290#123×C37—21no—
291#123×C37—21no—
292#123×C37—21no—
293#123×C37—21no—
294#123×C37—21no—
295#123×C37—21no—
296#123×C37—21no—
297#123×C37—21no—
298#123×C37—21no—
299#123×C37—21no—
300#123×C37—21no—
301#123×C37—21no—
302#123×C37—21no—
303#123×C37—21no—
304#123×C37—21no—
305C22⋊Q8×C37—21no—
306C22⋊Q8×C37—21no—
307C22⋊Q8×C37—21no—
308C22⋊Q8×C37—21no—
309C22⋊Q8×C37—21no—
310C22⋊Q8×C37—21no—
311C22⋊Q8×C37—21no—
312C22⋊Q8×C37—21no—
313C22⋊Q8×C37—21no—
314C22⋊Q8×C37—21no—
315C22⋊Q8×C37C2311yescharacteristic
316C22⋊Q8×C37C2311yescharacteristic
317C22⋊Q8×C37C2311yescharacteristic
318C22⋊Q8×C37C2311yescharacteristic
319C22⋊Q8×C37C2311yescharacteristic
320#121×C37—21no—
321#121×C37—21no—
322#121×C37—21no—
323#121×C37—21no—
324#121×C37—21no—
325#121×C37—21no—
326#121×C37—21no—
327#121×C37—21no—
328#121×C37—21no—
329#121×C37—21no—
330#121×C37—21no—
331#121×C37—21no—
332#121×C37—21no—
333#121×C37C2311yescharacteristic
334#121×C37C2311yescharacteristic
335#121×C37C2311yescharacteristic
336#121×C37C2311yescharacteristic
337#121×C37C2311yescharacteristic
338#121×C37C2311yescharacteristic
339#121×C37C2311yescharacteristic
340#120×C37—21no—
341#120×C37—21no—
342#120×C37—21no—
343#120×C37—21no—
344#120×C37—21no—
345#120×C37—21no—
346#120×C37—21no—
347#120×C37—21no—
348C4×Q8×C37D411yescharacteristic
349C4×Q8×C37C2311yescharacteristic
350C4×Q8×C37C2311yescharacteristic
351C4×Q8×C37C2311yescharacteristic
352C4×Q8×C37C2311yescharacteristic
353C4×Q8×C37C2311yescharacteristic
354C4×Q8×C37C2311yescharacteristic
355C4×D4×C37—21no—
356C4×D4×C37—21no—
357C4×D4×C37—21no—
358C4×D4×C37—21no—
359C4×D4×C37—21no—
360C4×D4×C37—21no—
361C4×D4×C37—21no—
362C4×D4×C37—21no—
363C4×D4×C37—21no—
364C4×D4×C37—21no—
365C4×D4×C37—21no—
366C4×D4×C37—21no—
367C4×D4×C37—21no—
368C4×D4×C37—21no—
369C4×D4×C37—21no—
370C4×D4×C37—21no—
371C4×D4×C37—21no—
372C4×D4×C37—21no—
373C4×D4×C37—21no—
374C4×D4×C37—21no—
375C4×D4×C37—21no—
376C4×D4×C37—21no—
377C4×D4×C37D411yescharacteristic
378C4×D4×C37D411yescharacteristic
379C4×D4×C37D411yescharacteristic
380C4×D4×C37C2311yescharacteristic
381C4×D4×C37C2311yescharacteristic
382C4×D4×C37C2311yescharacteristic
383C4×D4×C37C2311yescharacteristic
384C4×D4×C37C2311yescharacteristic
385C4×D4×C37C2311yescharacteristic
386C4×D4×C37C2311yescharacteristic
387C4×D4×C37C2311yescharacteristic
388C4×D4×C37C2311yescharacteristic
389C4×D4×C37C2311yescharacteristic
390C4×D4×C37C2311yescharacteristic
391C4×D4×C37C2311yescharacteristic
392C4×D4×C37C2311yescharacteristic
393C4×D4×C37C2311yescharacteristic
394#117×C37—21no—
395#117×C37—21no—
396#117×C37—21no—
397#117×C37—21no—
398#117×C37—21no—
399#117×C37—21no—
400#117×C37—21no—
401#117×C37D411yescharacteristic
402#117×C37D411yescharacteristic
403#117×C37D411yescharacteristic
404#117×C37C2311yescharacteristic
405C2×C4⋊C4×C37—21no—
406C2×C4⋊C4×C37C2311yescharacteristic
407C2×C4⋊C4×C37C2311yescharacteristic
408C2×C22⋊C4×C37—21no—
409C2×C22⋊C4×C37—21no—
410C2×C22⋊C4×C37—21no—
411C2×C22⋊C4×C37—21no—
412C2×C22⋊C4×C37—21no—
413C2×C22⋊C4×C37—21no—
414C2×C22⋊C4×C37—21no—
415C2×C22⋊C4×C37—21no—
416C2×C22⋊C4×C37—21no—
417C2×C22⋊C4×C37—21no—
418C2×C42×C37—21no—
419C2×C42×C37C2311yescharacteristic
420C2×C42×C37C2311yescharacteristic
421C2×C42×C37C2311yescharacteristic
422#107×C37C2311yescharacteristic
423#107×C37C2311yescharacteristic
424#107×C37C2311yescharacteristic
425#107×C37C2311yescharacteristic
426#106×C37C2311yescharacteristic
427#106×C37C2311yescharacteristic
428#106×C37C2311yescharacteristic
429#106×C37C2311yescharacteristic
430C4⋊C8×C37C2311yescharacteristic
431C4⋊C8×C37C2311yescharacteristic
432C4⋊C8×C37C2311yescharacteristic
433C4⋊C8×C37C2311yescharacteristic
434C4⋊C8×C37C2311yescharacteristic
435C4⋊C8×C37C2311yescharacteristic
436C4⋊C8×C37C2311yescharacteristic
437C4⋊C8×C37C2311yescharacteristic
438C4⋊C8×C37C2311yescharacteristic
439C4⋊C8×C37C2311yescharacteristic
440#103×C37C2311yescharacteristic
441#103×C37C2311yescharacteristic
442#103×C37C2311yescharacteristic
443#103×C37C2311yescharacteristic
444#103×C37C2311yescharacteristic
445#103×C37C2311yescharacteristic
446#103×C37C2311yescharacteristic
447#103×C37C2311yescharacteristic
448#103×C37C2311yescharacteristic
449#103×C37C2311yescharacteristic
450#103×C37C2311yescharacteristic
451#103×C37C2311yescharacteristic
452#103×C37C2311yescharacteristic
453#103×C37C2311yescharacteristic
454#102×C37C2311yescharacteristic
455#102×C37C2311yescharacteristic
456#102×C37C2311yescharacteristic
457#102×C37C2311yescharacteristic
458#102×C37C2311yescharacteristic
459#102×C37C2311yescharacteristic
460#102×C37C2311yescharacteristic
461#102×C37C2311yescharacteristic
462#102×C37C2311yescharacteristic
463#102×C37C2311yescharacteristic
464#102×C37C2311yescharacteristic
465#102×C37C2311yescharacteristic
466#102×C37C2311yescharacteristic
467#102×C37C2311yescharacteristic
468#102×C37C2311yescharacteristic
469#102×C37C2311yescharacteristic
470#102×C37C2311yescharacteristic
471#102×C37C2311yescharacteristic
472C22⋊C8×C37C2311yescharacteristic
473C22⋊C8×C37C2311yescharacteristic
474C22⋊C8×C37C2311yescharacteristic
475C22⋊C8×C37C2311yescharacteristic
476C22⋊C8×C37C2311yescharacteristic
477C22⋊C8×C37C2311yescharacteristic
478#97×C37C2311yescharacteristic
479#97×C37C2311yescharacteristic
480#97×C37C2311yescharacteristic
481#97×C37C2311yescharacteristic
482C4×C8×C37C2311yescharacteristic
483C4×C8×C37C2311yescharacteristic
484C24×C37—21no—
485C24×C37—21no—
486C24×C37—21no—
487C24×C37—21no—
488#41×C37—22no—
489#41×C37—42no—
490#41×C37—41no—
491#41×C37—41no—
492#41×C37—41no—
493#41×C37—41no—
494#41×C37—41no—
495#41×C37—82no—
496C2×Q8×C37—21no—
497C2×Q8×C37—21no—
498C2×Q8×C37—21no—
499C2×Q8×C37—41no—
500C2×Q8×C37—41no—
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×D4×C37—22no—
509C2×D4×C37—22no—
510C2×D4×C37—21no—
511C2×D4×C37—21no—
512C2×D4×C37—21no—
513C2×D4×C37—21no—
514C2×D4×C37—21no—
515C2×D4×C37—21no—
516C2×D4×C37—21no—
517C2×D4×C37—21no—
518C2×D4×C37—21no—
519C2×D4×C37—21no—
520C2×D4×C37—21no—
521C2×D4×C37—21no—
522C2×D4×C37—21no—
523C2×D4×C37—21no—
524C2×D4×C37—21no—
525C2×D4×C37—21no—
526C2×D4×C37—21no—
527C2×D4×C37—21no—
528C2×D4×C37—41no—
529C2×D4×C37—41no—
530C2×D4×C37—41no—
531C2×D4×C37—41no—
532C2×D4×C37—41no—
533C2×D4×C37—41no—
534C2×D4×C37—44no—
535C2×D4×C37—44no—
536C2×D4×C37C2×D411yescharacteristic
537C2×D4×C37C2×D411yescharacteristic
538C2×D4×C37C2×D411yescharacteristic
539C2×D4×C37C2411yescharacteristic
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×C37—21no—
560C22×C4×C37—21no—
561C22×C4×C37—21no—
562C22×C4×C37—21no—
563C22×C4×C37—82no—
564C22×C4×C37—82no—
565C22×C4×C37C2×D411yescharacteristic
566C22×C4×C37C2×D411yescharacteristic
567C22×C4×C37C2×D411yescharacteristic
568C22×C4×C37C2×D411yescharacteristic
569C22×C4×C37C2×D411yescharacteristic
570C22×C4×C37C2×D411yescharacteristic
571C22×C4×C37C2411yescharacteristic
572C22×C4×C37C2411yescharacteristic
573C22×C4×C37C2411yescharacteristic
574Q16×C37—41no—
575Q16×C37—41no—
576Q16×C37—41no—
577SD16×C37—22no—
578SD16×C37—22no—
579SD16×C37—22no—
580SD16×C37—41no—
581SD16×C37—41no—
582SD16×C37—41no—
583SD16×C37—41no—
584SD16×C37—41no—
585SD16×C37—41no—
586SD16×C37—41no—
587SD16×C37—41no—
588SD16×C37—41no—
589D8×C37—22no—
590D8×C37—22no—
591D8×C37—22no—
592D8×C37—41no—
593D8×C37—41no—
594D8×C37—41no—
595D8×C37—41no—
596D8×C37—41no—
597D8×C37—41no—
598M16×C37—41no—
599M16×C37—41no—
600M16×C37—41no—
601M16×C37—41no—
602C2×C8×C37—41no—
603C2×C8×C37—41no—
604C2×C8×C37C2411yescharacteristic
605C2×C8×C37C2411yescharacteristic
606C2×C8×C37C2411yescharacteristic
607C2×C8×C37C2411yescharacteristic
608C2×C8×C37C2411yescharacteristic
609C2×C8×C37C2411yescharacteristic
610C2×C8×C37C2411yescharacteristic
611C2×C8×C37C2411yescharacteristic
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×C37—21no—
632C4⋊C4×C37—21no—
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×C37C2411yescharacteristic
640C4⋊C4×C37C2411yescharacteristic
641C4⋊C4×C37C2411yescharacteristic
642C4⋊C4×C37C2411yescharacteristic
643C4⋊C4×C37C2411yescharacteristic
644C4⋊C4×C37C2411yescharacteristic
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×C37—21no—
680C22⋊C4×C37—21no—
681C22⋊C4×C37—21no—
682C22⋊C4×C37—21no—
683C22⋊C4×C37—21no—
684C22⋊C4×C37—21no—
685C22⋊C4×C37—21no—
686C22⋊C4×C37—21no—
687C22⋊C4×C37C2×D411yescharacteristic
688C22⋊C4×C37C2×D411yescharacteristic
689C22⋊C4×C37C2×D411yescharacteristic
690C22⋊C4×C37C2×D411yescharacteristic
691C22⋊C4×C37C2×D411yescharacteristic
692C22⋊C4×C37C2×D411yescharacteristic
693C42×C37—21no—
694C42×C37—21no—
695C42×C37—21no—
696C42×C37—21no—
697C42×C37—21no—
698C42×C37—21no—
699C42×C37C2×D411yescharacteristic
700C42×C37C2×D411yescharacteristic
701C42×C37C2×D411yescharacteristic
702C42×C37C2×D411yescharacteristic
703C42×C37C2×D411yescharacteristic
704C42×C37C2×D411yescharacteristic
705C42×C37C2411yescharacteristic
706C42×C37C2411yescharacteristic
707C42×C37C2411yescharacteristic
708C42×C37C2411yescharacteristic
709C23×C37—21no—
710C23×C37—21no—
711C23×C37—21no—
712C23×C37—21no—
713C23×C37—21no—
714C23×C37—21no—
715C23×C37—42no—
716C23×C37—42no—
717C23×C37—42no—
718C23×C37—42no—
719C23×C37—42no—
720C23×C37—42no—
721C23×C37—81no—
722C23×C37—81no—
723C23×C37—81no—
724C23×C37—81no—
725C23×C37—81no—
726C23×C37—81no—
727C23×C37C22×D411yescharacteristic
728C23×C37C22×D411yescharacteristic
729C23×C37C22×D411yescharacteristic
730Q8×C37—21no—
731Q8×C37—21no—
732Q8×C37—21no—
733Q8×C37—21no—
734Q8×C37—21no—
735Q8×C37—21no—
736Q8×C37—21no—
737Q8×C37—21no—
738Q8×C37—41no—
739Q8×C37—81no—
740Q8×C37—81no—
741Q8×C37—81no—
742D4×C37—22no—
743D4×C37—22no—
744D4×C37—21no—
745D4×C37—21no—
746D4×C37—21no—
747D4×C37—21no—
748D4×C37—21no—
749D4×C37—21no—
750D4×C37—21no—
751D4×C37—21no—
752D4×C37—21no—
753D4×C37—21no—
754D4×C37—21no—
755D4×C37—41no—
756D4×C37—42no—
757D4×C37—42no—
758D4×C37—42no—
759D4×C37—42no—
760D4×C37—42no—
761D4×C37—42no—
762D4×C37—42no—
763D4×C37—42no—
764D4×C37—42no—
765D4×C37—81no—
766D4×C37—81no—
767D4×C37—81no—
768D4×C37—81no—
769D4×C37—81no—
770D4×C37—81no—
771D4×C37—81no—
772D4×C37—81no—
773D4×C37—81no—
774D4×C37H(5,𝔽2)12yes—
775C2×C4×C37—22no—
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—21no—
789C2×C4×C37—21no—
790C2×C4×C37—21no—
791C2×C4×C37—21no—
792C2×C4×C37—41no—
793C2×C4×C37—41no—
794C2×C4×C37—41no—
795C2×C4×C37—41no—
796C2×C4×C37—41no—
797C2×C4×C37—42no—
798C2×C4×C37—42no—
799C2×C4×C37—42no—
800C2×C4×C37—42no—
801C2×C4×C37—42no—
802C2×C4×C37—42no—
803C2×C4×C37—81no—
804C2×C4×C37—81no—
805C2×C4×C37—81no—
806C2×C4×C37—81no—
807C2×C4×C37—81no—
808C2×C4×C37—81no—
809C2×C4×C37—81no—
810C2×C4×C37—81no—
811C2×C4×C37—81no—
812C2×C4×C37—81no—
813C2×C4×C37—81no—
814C2×C4×C37—81no—
815C2×C4×C37C22×D411yescharacteristic
816C2×C4×C37C22×D411yescharacteristic
817C2×C4×C37C22×D411yescharacteristic
818C2×C4×C37C22×D411yescharacteristic
819C2×C4×C37C22×D411yescharacteristic
820C2×C4×C37C22×D411yescharacteristic
821C2×C4×C37C22×D411yescharacteristic
822C2×C4×C37C22×D411yescharacteristic
823C2×C4×C37C22×D411yescharacteristic
824C2×C4×C37C22×D411yescharacteristic
825C2×C4×C37C22×D411yescharacteristic
826C2×C4×C37C2511yescharacteristic
827C8×C37—21no—
828C8×C37—21no—
829C8×C37—21no—
830C8×C37—21no—
831C8×C37—21no—
832C8×C37—21no—
833C8×C37—21no—
834C8×C37—21no—
835#61971C3711yesmaximal, characteristic, direct product factor, Sylow
836C22×C37—21no—
837C22×C37—21no—
838C22×C37—21no—
839C22×C37—21no—
840C22×C37—21no—
841C22×C37—21no—
842C22×C37—22no—
843C22×C37—21no—
844C22×C37—21no—
845C22×C37—41no—
846C22×C37—41no—
847C22×C37—41no—
848C22×C37—41no—
849C22×C37—41no—
850C22×C37—41no—
851C22×C37—41no—
852C22×C37—41no—
853C22×C37—41no—
854C22×C37—41no—
855C22×C37—41no—
856C22×C37—41no—
857C22×C37—41no—
858C22×C37—41no—
859C22×C37—41no—
860C22×C37—41no—
861C22×C37—41no—
862C22×C37—84no—
863C22×C37—84no—
864C22×C37—162no—
865C22×C37—162no—
866C22×C37#57512yes—
867C22×C37C23×D411yescharacteristic
868C4×C37—21no—
869C4×C37—21no—
870C4×C37—21no—
871C4×C37—21no—
872C4×C37—21no—
873C4×C37—21no—
874C4×C37—21no—
875C4×C37—21no—
876C4×C37—21no—
877C4×C37—21no—
878C4×C37—21no—
879C4×C37—41no—
880C4×C37—41no—
881C4×C37—41no—
882C4×C37—41no—
883C4×C37—41no—
884C4×C37—41no—
885C4×C37—41no—
886C4×C37—41no—
887C4×C37—41no—
888C4×C37—41no—
889C4×C37C2×H(5,𝔽2)11yescharacteristic
890C4×C37#58511yescharacteristic
891#3514C2×C3711yescharacteristic, complemented
892#3481C2×C3711yescharacteristic, complemented
893#3403C2×C3711yescharacteristic, complemented
894#3401C2×C3711yescharacteristic, complemented
895#3376C2×C3711yescharacteristic, complemented
896#3370C2×C3711yescharacteristic, complemented
897#3326C2×C3711yescharacteristic, complemented
898#3322C2×C3711yescharacteristic, complemented
899#3320C2×C3711yescharacteristic, complemented
900#3318C2×C3711yescharacteristic, complemented
901#3316C2×C3711yescharacteristic, complemented
902#3314C2×C3711yescharacteristic, complemented
903#3275C2×C3711yescharacteristic, complemented
904#3273C2×C3711yescharacteristic, complemented
905#3266C2×C3711yescharacteristic, complemented
906#3265C2×C3711yescharacteristic, complemented
907#3264C2×C3711yescharacteristic, complemented
908#3264C2×C3711yescharacteristic, complemented
909#3256C2×C3711yescharacteristic, complemented
910#3251C2×C3711yescharacteristic, complemented
911#3250C2×C3711yescharacteristic, complemented
912#3219C2×C3711yescharacteristic, complemented
913#3213C2×C3711yescharacteristic, complemented
914#3211C2×C3711yescharacteristic, complemented
915#3114C2×C3711yescharacteristic, complemented
916#3111C2×C3711yescharacteristic, complemented
917#3105C2×C3711yescharacteristic, complemented
918#3040C2×C3711yescharacteristic, complemented
919#3036C2×C3711yescharacteristic, complemented
920C2×#463C2×C3711yescharacteristic, complemented
921#2989C2×C3711yescharacteristic, complemented
922C2×C37—22no—
923C2×C37—41no—
924C2×C37—41no—
925C2×C37—42no—
926C2×C37—81no—
927C2×C37—81no—
928C2×C37—81no—
929C2×C37—81no—
930C2×C37—81no—
931C2×C37#348811yescharacteristic
932C2×C37C2×#57511yescharacteristic
933C2×C37#358511yescharacteristic
934C2×#137C22×C3711yescharacteristic, complemented
935C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
936C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
937C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
938C22×SD16C22×C3711yescharacteristic, complemented
939C22×D8C22×C3711yescharacteristic
940#559C22×C3711yescharacteristic, complemented
941#559C22×C3711yescharacteristic, complemented
942#556C22×C3711yescharacteristic, complemented
943#555—21no—
944#554C22×C3711yescharacteristic, complemented
945#554C22×C3711yescharacteristic, complemented
946#553—21no—
947#553C22×C3711yescharacteristic
948#553C22×C3711yescharacteristic, complemented
949#551—21no—
950#551—21no—
951#551—21no—
952#551—21no—
953D4×Q8C22×C3711yescharacteristic, complemented
954#548C22×C3711yescharacteristic
955#548C22×C3711yescharacteristic, complemented
956#546—21no—
957#546—21no—
958#546C22×C3711yescharacteristic
959#546C22×C3711yescharacteristic
960#546C22×C3711yescharacteristic, complemented
961#546C22×C3711yescharacteristic, complemented
962D42C22×C3711yescharacteristic, complemented
963D42C22×C3711yescharacteristic, complemented
964#542—21no—
965#538—21no—
966#538—21no—
967#532C22×C3711yescharacteristic, complemented
968#532C22×C3711yescharacteristic, complemented
969#529—21no—
970#529C22×C3711yescharacteristic, complemented
971#529C22×C3711yescharacteristic, complemented
972#529C22×C3711yescharacteristic, complemented
973#529C22×C3711yescharacteristic, complemented
974#529C22×C3711yescharacteristic, complemented
975C2×#124C22×C3711yescharacteristic, complemented
976C2×#124C22×C3711yescharacteristic, complemented
977#525—21no—
978#525—21no—
979#518—21no—
980C4×#41C22×C3711yescharacteristic
981C4×#41C22×C3711yescharacteristic, complemented
982C2×C4×D4—21no—
983C2×C4×D4C22×C3711yescharacteristic, complemented
984C2×C4×D4C22×C3711yescharacteristic, complemented
985#497C22×C3711yescharacteristic, complemented
986#496C22×C3711yescharacteristic
987#496C22×C3711yescharacteristic, complemented
988#496C22×C3711yescharacteristic, complemented
989#495C22×C3711yescharacteristic, complemented
990#495C22×C3711yescharacteristic, complemented
991#491C22×C3711yescharacteristic, complemented
992#490C22×C3711yescharacteristic, complemented
993#489C22×C3711yescharacteristic, complemented
994#489C22×C3711yescharacteristic, complemented
995#488C22×C3711yescharacteristic, complemented
996#488C22×C3711yescharacteristic, complemented
997#485C22×C3711yescharacteristic, complemented
998#484C22×C3711yescharacteristic, complemented
999#483C22×C3711yescharacteristic, complemented
1000#482C22×C3711yescharacteristic, complemented
1001#481C22×C3711yescharacteristic, complemented
1002#480C22×C3711yescharacteristic, complemented
1003#479C22×C3711yescharacteristic, complemented
1004#479C22×C3711yescharacteristic, complemented
1005#479C22×C3711yescharacteristic, complemented
1006#478C22×C3711yescharacteristic, complemented
1007#478C22×C3711yescharacteristic, complemented
1008#478C22×C3711yescharacteristic, complemented
1009#478C22×C3711yescharacteristic, complemented
1010#478C22×C3711yescharacteristic, complemented
1011#475C22×C3711yescharacteristic, complemented
1012#474C22×C3711yescharacteristic, complemented
1013#470C22×C3711yescharacteristic, complemented
1014#469C22×C3711yescharacteristic
1015#469C22×C3711yescharacteristic, complemented
1016#469C22×C3711yescharacteristic, complemented
1017#468C22×C3711yescharacteristic, complemented
1018#468C22×C3711yescharacteristic, complemented
1019#468C22×C3711yescharacteristic, complemented
1020#468C22×C3711yescharacteristic, complemented
1021#467C22×C3711yescharacteristic, complemented
1022#466C22×C3711yescharacteristic
1023#465C22×C3711yescharacteristic, complemented
1024#465C22×C3711yescharacteristic, complemented
1025#464C22×C3711yescharacteristic, complemented
1026#464C22×C3711yescharacteristic, complemented
1027#464C22×C3711yescharacteristic, complemented
1028#464C22×C3711yescharacteristic, complemented
1029#464C22×C3711yescharacteristic, complemented
1030#464C22×C3711yescharacteristic, complemented
1031#464C22×C3711yescharacteristic, complemented
1032#463C22×C3711yescharacteristic
1033#463C22×C3711yescharacteristic
1034#463C22×C3711yescharacteristic
1035#463C22×C3711yescharacteristic, complemented
1036#463C22×C3711yescharacteristic, complemented
1037#463C22×C3711yescharacteristic, complemented
1038#463C22×C3711yescharacteristic, complemented
1039#463C22×C3711yescharacteristic, complemented
1040#463C22×C3711yescharacteristic, complemented
1041#463C22×C3711yescharacteristic, complemented
1042#463C22×C3711yescharacteristic, complemented
1043#463C22×C3711yescharacteristic, complemented
1044#463C22×C3711yescharacteristic, complemented
1045#463C22×C3711yescharacteristic, complemented
1046#463C22×C3711yescharacteristic, complemented
1047#463C22×C3711yescharacteristic, complemented
1048#463C22×C3711yescharacteristic, complemented
1049#461C22×C3711yescharacteristic, complemented
1050#461C22×C3711yescharacteristic, complemented
1051#460C22×C3711yescharacteristic, complemented
1052#459C22×C3711yescharacteristic
1053#459C22×C3711yescharacteristic, complemented
1054#459C22×C3711yescharacteristic, complemented
1055#452C22×C3711yescharacteristic, complemented
1056#452C22×C3711yescharacteristic, complemented
1057#452C22×C3711yescharacteristic, complemented
1058#451C22×C3711yescharacteristic, complemented
1059#450C22×C3711yescharacteristic, complemented
1060#450C22×C3711yescharacteristic, complemented
1061#450C22×C3711yescharacteristic, complemented
1062#449C22×C3711yescharacteristic
1063#449C22×C3711yescharacteristic, complemented
1064#449C22×C3711yescharacteristic, complemented
1065#448C22×C3711yescharacteristic, complemented
1066#448C22×C3711yescharacteristic, complemented
1067#448C22×C3711yescharacteristic, complemented
1068#447C22×C3711yescharacteristic
1069#447C22×C3711yescharacteristic
1070#447C22×C3711yescharacteristic
1071#447C22×C3711yescharacteristic, complemented
1072#447C22×C3711yescharacteristic, complemented
1073#446C22×C3711yescharacteristic, complemented
1074#446C22×C3711yescharacteristic, complemented
1075#442C22×C3711yescharacteristic
1076#442C22×C3711yescharacteristic, complemented
1077#442C22×C3711yescharacteristic, complemented
1078#441C22×C3711yescharacteristic, complemented
1079#440C22×C3711yescharacteristic, complemented
1080#440C22×C3711yescharacteristic, complemented
1081#440C22×C3711yescharacteristic, complemented
1082#440C22×C3711yescharacteristic, complemented
1083C4×SD16C22×C3711yescharacteristic, complemented
1084C4×SD16C22×C3711yescharacteristic, complemented
1085C4×D8C22×C3711yescharacteristic, complemented
1086C4×D8C22×C3711yescharacteristic, complemented
1087#436C22×C3711yescharacteristic, complemented
1088#436C22×C3711yescharacteristic, complemented
1089#435C22×C3711yescharacteristic, complemented
1090#435C22×C3711yescharacteristic, complemented
1091#435C22×C3711yescharacteristic, complemented
1092#435C22×C3711yescharacteristic, complemented
1093#432C22×C3711yescharacteristic, complemented
1094#432C22×C3711yescharacteristic, complemented
1095#431C22×C3711yescharacteristic, complemented
1096#423C22×C3711yescharacteristic, complemented
1097#423C22×C3711yescharacteristic, complemented
1098C2×C4⋊C8C22×C3711yescharacteristic, complemented
1099#419C22×C3711yescharacteristic, complemented
1100#418C22×C3711yescharacteristic, complemented
1101#417C22×C3711yescharacteristic, complemented
1102#417C22×C3711yescharacteristic, complemented
1103C2×#103C22×C3711yescharacteristic, complemented
1104C2×#102C22×C3711yescharacteristic, complemented
1105C37#6197111yescharacteristic, direct product factor, Sylow
1106C2×#41—21no—
1107C2×#41D4×C3711yescharacteristic
1108C2×#41C23×C3711yescharacteristic
1109C2×#41C23×C3711yescharacteristic
1110C2×#41C23×C3711yescharacteristic
1111C22×Q8C23×C3711yescharacteristic
1112C22×Q8C23×C3711yescharacteristic
1113C22×D4—21no—
1114C22×D4—21no—
1115C22×D4C23×C3711yescharacteristic
1116C22×D4C23×C3711yescharacteristic
1117C22×D4C23×C3711yescharacteristic
1118C22×D4C23×C3711yescharacteristic
1119C23×C4—21no—
1120C23×C4—21no—
1121#137—42no—
1122AGL(1,ℤ/8)—42no—
1123AGL(1,ℤ/8)—42no—
1124AGL(1,ℤ/8)—42no—
1125C2×Q16C23×C3711yescharacteristic
1126C2×Q16C23×C3711yescharacteristic
1127C2×Q16C23×C3711yescharacteristic
1128C2×SD16—42no—
1129C2×SD16C23×C3711yescharacteristic
1130C2×SD16C23×C3711yescharacteristic
1131C2×SD16C23×C3711yescharacteristic
1132C2×SD16C23×C3711yescharacteristic
1133C2×SD16C23×C3711yescharacteristic
1134C2×SD16C23×C3711yescharacteristic
1135C2×SD16C23×C3711yescharacteristic
1136C2×SD16C23×C3711yescharacteristic
1137C2×SD16C23×C3711yescharacteristic
1138C2×SD16C23×C3711yescharacteristic
1139C2×SD16C23×C3711yescharacteristic
1140C2×SD16C23×C3711yescharacteristic
1141C2×D8—42no—
1142C2×D8C23×C3711yescharacteristic
1143C2×D8C23×C3711yescharacteristic
1144C2×D8C23×C3711yescharacteristic
1145C2×D8C23×C3711yescharacteristic
1146C2×D8C23×C3711yescharacteristic
1147C2×D8C23×C3711yescharacteristic
1148C2×D8C23×C3711yescharacteristic
1149C2×D8C23×C3711yescharacteristic
1150C2×D8C23×C3711yescharacteristic
1151C2×M16C23×C3711yescharacteristic
1152C2×M16C23×C3711yescharacteristic
1153C2×M16C23×C3711yescharacteristic
1154C2×M16C23×C3711yescharacteristic
1155C22×C8C23×C3711yescharacteristic
1156C22×C8C23×C3711yescharacteristic
1157C4⋊Q8—21no—
1158C4⋊Q8C23×C3711yescharacteristic
1159C4⋊Q8C23×C3711yescharacteristic
1160#127C23×C3711yescharacteristic
1161#127C23×C3711yescharacteristic
1162#126—21no—
1163#126—21no—
1164#126—21no—
1165#126—21no—
1166#126—21no—
1167#126—21no—
1168#126—21no—
1169#126—21no—
1170#126—21no—
1171#125—21no—
1172#125C23×C3711yescharacteristic
1173#125C23×C3711yescharacteristic
1174#125C23×C3711yescharacteristic
1175#124—21no—
1176#124—21no—
1177#124—21no—
1178#124—21no—
1179#124—21no—
1180#124—21no—
1181#124—21no—
1182#124—21no—
1183#124—21no—
1184#124C23×C3711yescharacteristic
1185#124C23×C3711yescharacteristic
1186#124C23×C3711yescharacteristic
1187#124C23×C3711yescharacteristic
1188#124C23×C3711yescharacteristic
1189#124C23×C3711yescharacteristic
1190#124C23×C3711yescharacteristic
1191#124C23×C3711yescharacteristic
1192#124C23×C3711yescharacteristic
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123—21no—
1197#123—21no—
1198#123—21no—
1199#123—21no—
1200#123—21no—
1201#123—21no—
1202#123—21no—
1203#123—21no—
1204#123—21no—
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208C22⋊Q8—21no—
1209C22⋊Q8—21no—
1210C22⋊Q8—21no—
1211C22⋊Q8—21no—
1212C22⋊Q8—21no—
1213C22⋊Q8—21no—
1214C22⋊Q8—21no—
1215C22⋊Q8—21no—
1216C22⋊Q8—21no—
1217C22⋊Q8—21no—
1218C22⋊Q8C23×C3711yescharacteristic
1219C22⋊Q8C23×C3711yescharacteristic
1220C22⋊Q8C23×C3711yescharacteristic
1221C22⋊Q8C23×C3711yescharacteristic
1222C22⋊Q8C23×C3711yescharacteristic
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#121—21no—
1236#121C23×C3711yescharacteristic
1237#121C23×C3711yescharacteristic
1238#121C23×C3711yescharacteristic
1239#121C23×C3711yescharacteristic
1240#121C23×C3711yescharacteristic
1241#121C23×C3711yescharacteristic
1242#121C23×C3711yescharacteristic
1243#120—21no—
1244#120—21no—
1245#120—21no—
1246#120—21no—
1247#120—21no—
1248#120—21no—
1249#120—21no—
1250#120—21no—
1251C4×Q8D4×C3711yescharacteristic
1252C4×Q8C23×C3711yescharacteristic
1253C4×Q8C23×C3711yescharacteristic
1254C4×Q8C23×C3711yescharacteristic
1255C4×Q8C23×C3711yescharacteristic
1256C4×Q8C23×C3711yescharacteristic
1257C4×Q8C23×C3711yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—21no—
1262C4×D4—21no—
1263C4×D4—21no—
1264C4×D4—21no—
1265C4×D4—21no—
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—21no—
1269C4×D4—21no—
1270C4×D4—21no—
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4D4×C3711yescharacteristic
1281C4×D4D4×C3711yescharacteristic
1282C4×D4D4×C3711yescharacteristic
1283C4×D4C23×C3711yescharacteristic
1284C4×D4C23×C3711yescharacteristic
1285C4×D4C23×C3711yescharacteristic
1286C4×D4C23×C3711yescharacteristic
1287C4×D4C23×C3711yescharacteristic
1288C4×D4C23×C3711yescharacteristic
1289C4×D4C23×C3711yescharacteristic
1290C4×D4C23×C3711yescharacteristic
1291C4×D4C23×C3711yescharacteristic
1292C4×D4C23×C3711yescharacteristic
1293C4×D4C23×C3711yescharacteristic
1294C4×D4C23×C3711yescharacteristic
1295C4×D4C23×C3711yescharacteristic
1296C4×D4C23×C3711yescharacteristic
1297#117—21no—
1298#117—21no—
1299#117—21no—
1300#117—21no—
1301#117—21no—
1302#117—21no—
1303#117—21no—
1304#117D4×C3711yescharacteristic
1305#117D4×C3711yescharacteristic
1306#117D4×C3711yescharacteristic
1307#117C23×C3711yescharacteristic
1308C2×C4⋊C4—21no—
1309C2×C4⋊C4C23×C3711yescharacteristic
1310C2×C4⋊C4C23×C3711yescharacteristic
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—21no—
1315C2×C22⋊C4—21no—
1316C2×C22⋊C4—21no—
1317C2×C22⋊C4—21no—
1318C2×C22⋊C4—21no—
1319C2×C22⋊C4—21no—
1320C2×C22⋊C4—21no—
1321C2×C42—21no—
1322C2×C42C23×C3711yescharacteristic
1323C2×C42C23×C3711yescharacteristic
1324C2×C42C23×C3711yescharacteristic
1325#107C23×C3711yescharacteristic
1326#107C23×C3711yescharacteristic
1327#107C23×C3711yescharacteristic
1328#107C23×C3711yescharacteristic
1329#106C23×C3711yescharacteristic
1330#106C23×C3711yescharacteristic
1331#106C23×C3711yescharacteristic
1332#106C23×C3711yescharacteristic
1333C4⋊C8C23×C3711yescharacteristic
1334C4⋊C8C23×C3711yescharacteristic
1335C4⋊C8C23×C3711yescharacteristic
1336C4⋊C8C23×C3711yescharacteristic
1337C4⋊C8C23×C3711yescharacteristic
1338C4⋊C8C23×C3711yescharacteristic
1339C4⋊C8C23×C3711yescharacteristic
1340C4⋊C8C23×C3711yescharacteristic
1341C4⋊C8C23×C3711yescharacteristic
1342C4⋊C8C23×C3711yescharacteristic
1343#103C23×C3711yescharacteristic
1344#103C23×C3711yescharacteristic
1345#103C23×C3711yescharacteristic
1346#103C23×C3711yescharacteristic
1347#103C23×C3711yescharacteristic
1348#103C23×C3711yescharacteristic
1349#103C23×C3711yescharacteristic
1350#103C23×C3711yescharacteristic
1351#103C23×C3711yescharacteristic
1352#103C23×C3711yescharacteristic
1353#103C23×C3711yescharacteristic
1354#103C23×C3711yescharacteristic
1355#103C23×C3711yescharacteristic
1356#103C23×C3711yescharacteristic
1357#102C23×C3711yescharacteristic
1358#102C23×C3711yescharacteristic
1359#102C23×C3711yescharacteristic
1360#102C23×C3711yescharacteristic
1361#102C23×C3711yescharacteristic
1362#102C23×C3711yescharacteristic
1363#102C23×C3711yescharacteristic
1364#102C23×C3711yescharacteristic
1365#102C23×C3711yescharacteristic
1366#102C23×C3711yescharacteristic
1367#102C23×C3711yescharacteristic
1368#102C23×C3711yescharacteristic
1369#102C23×C3711yescharacteristic
1370#102C23×C3711yescharacteristic
1371#102C23×C3711yescharacteristic
1372#102C23×C3711yescharacteristic
1373#102C23×C3711yescharacteristic
1374#102C23×C3711yescharacteristic
1375C22⋊C8C23×C3711yescharacteristic
1376C22⋊C8C23×C3711yescharacteristic
1377C22⋊C8C23×C3711yescharacteristic
1378C22⋊C8C23×C3711yescharacteristic
1379C22⋊C8C23×C3711yescharacteristic
1380C22⋊C8C23×C3711yescharacteristic
1381#97C23×C3711yescharacteristic
1382#97C23×C3711yescharacteristic
1383#97C23×C3711yescharacteristic
1384#97C23×C3711yescharacteristic
1385C4×C8C23×C3711yescharacteristic
1386C4×C8C23×C3711yescharacteristic
1387C24—21no—
1388C24—21no—
1389C24—21no—
1390C24—21no—
1391#41—22no—
1392#41—42no—
1393#41—41no—
1394#41—41no—
1395#41—41no—
1396#41—41no—
1397#41—41no—
1398#41—82no—
1399C2×Q8—21no—
1400C2×Q8—21no—
1401C2×Q8—21no—
1402C2×Q8—41no—
1403C2×Q8—41no—
1404C2×Q8—41no—
1405C2×Q8—41no—
1406C2×Q8C2×D4×C3711yescharacteristic
1407C2×Q8C24×C3711yescharacteristic
1408C2×Q8C24×C3711yescharacteristic
1409C2×Q8C24×C3711yescharacteristic
1410C2×Q8C24×C3711yescharacteristic
1411C2×D4—22no—
1412C2×D4—22no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4—41no—
1434C2×D4—41no—
1435C2×D4—41no—
1436C2×D4—41no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4C2×D4×C3711yescharacteristic
1440C2×D4C2×D4×C3711yescharacteristic
1441C2×D4C2×D4×C3711yescharacteristic
1442C2×D4C24×C3711yescharacteristic
1443C2×D4C24×C3711yescharacteristic
1444C2×D4C24×C3711yescharacteristic
1445C2×D4C24×C3711yescharacteristic
1446C2×D4C24×C3711yescharacteristic
1447C2×D4C24×C3711yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4—21no—
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—21no—
1465C22×C4—21no—
1466C22×C4—82no—
1467C22×C4—82no—
1468C22×C4C2×D4×C3711yescharacteristic
1469C22×C4C2×D4×C3711yescharacteristic
1470C22×C4C2×D4×C3711yescharacteristic
1471C22×C4C2×D4×C3711yescharacteristic
1472C22×C4C2×D4×C3711yescharacteristic
1473C22×C4C2×D4×C3711yescharacteristic
1474C22×C4C24×C3711yescharacteristic
1475C22×C4C24×C3711yescharacteristic
1476C22×C4C24×C3711yescharacteristic
1477Q16—41no—
1478Q16—41no—
1479Q16—41no—
1480SD16—22no—
1481SD16—22no—
1482SD16—22no—
1483SD16—41no—
1484SD16—41no—
1485SD16—41no—
1486SD16—41no—
1487SD16—41no—
1488SD16—41no—
1489SD16—41no—
1490SD16—41no—
1491SD16—41no—
1492D8—22no—
1493D8—22no—
1494D8—22no—
1495D8—41no—
1496D8—41no—
1497D8—41no—
1498D8—41no—
1499D8—41no—
1500D8—41no—
1501M16—41no—
1502M16—41no—
1503M16—41no—
1504M16—41no—
1505C2×C8—41no—
1506C2×C8—41no—
1507C2×C8C24×C3711yescharacteristic
1508C2×C8C24×C3711yescharacteristic
1509C2×C8C24×C3711yescharacteristic
1510C2×C8C24×C3711yescharacteristic
1511C2×C8C24×C3711yescharacteristic
1512C2×C8C24×C3711yescharacteristic
1513C2×C8C24×C3711yescharacteristic
1514C2×C8C24×C3711yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—21no—
1535C4⋊C4—21no—
1536C4⋊C4C2×D4×C3711yescharacteristic
1537C4⋊C4C2×D4×C3711yescharacteristic
1538C4⋊C4C2×D4×C3711yescharacteristic
1539C4⋊C4C2×D4×C3711yescharacteristic
1540C4⋊C4C2×D4×C3711yescharacteristic
1541C4⋊C4C2×D4×C3711yescharacteristic
1542C4⋊C4C24×C3711yescharacteristic
1543C4⋊C4C24×C3711yescharacteristic
1544C4⋊C4C24×C3711yescharacteristic
1545C4⋊C4C24×C3711yescharacteristic
1546C4⋊C4C24×C3711yescharacteristic
1547C4⋊C4C24×C3711yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4C2×D4×C3711yescharacteristic
1591C22⋊C4C2×D4×C3711yescharacteristic
1592C22⋊C4C2×D4×C3711yescharacteristic
1593C22⋊C4C2×D4×C3711yescharacteristic
1594C22⋊C4C2×D4×C3711yescharacteristic
1595C22⋊C4C2×D4×C3711yescharacteristic
1596C42—21no—
1597C42—21no—
1598C42—21no—
1599C42—21no—
1600C42—21no—
1601C42—21no—
1602C42C2×D4×C3711yescharacteristic
1603C42C2×D4×C3711yescharacteristic
1604C42C2×D4×C3711yescharacteristic
1605C42C2×D4×C3711yescharacteristic
1606C42C2×D4×C3711yescharacteristic
1607C42C2×D4×C3711yescharacteristic
1608C42C24×C3711yescharacteristic
1609C42C24×C3711yescharacteristic
1610C42C24×C3711yescharacteristic
1611C42C24×C3711yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—42no—
1619C23—42no—
1620C23—42no—
1621C23—42no—
1622C23—42no—
1623C23—42no—
1624C23—81no—
1625C23—81no—
1626C23—81no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23C22×D4×C3711yescharacteristic
1631C23C22×D4×C3711yescharacteristic
1632C23C22×D4×C3711yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—21no—
1640Q8—21no—
1641Q8—41no—
1642Q8—81no—
1643Q8—81no—
1644Q8—81no—
1645D4—22no—
1646D4—22no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—41no—
1659D4—42no—
1660D4—42no—
1661D4—42no—
1662D4—42no—
1663D4—42no—
1664D4—42no—
1665D4—42no—
1666D4—42no—
1667D4—42no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—81no—
1672D4—81no—
1673D4—81no—
1674D4—81no—
1675D4—81no—
1676D4—81no—
1677D4H(5,𝔽2)×C3712yes—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—42no—
1701C2×C4—42no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—81no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—81no—
1714C2×C4—81no—
1715C2×C4—81no—
1716C2×C4—81no—
1717C2×C4—81no—
1718C2×C4C22×D4×C3711yescharacteristic
1719C2×C4C22×D4×C3711yescharacteristic
1720C2×C4C22×D4×C3711yescharacteristic
1721C2×C4C22×D4×C3711yescharacteristic
1722C2×C4C22×D4×C3711yescharacteristic
1723C2×C4C22×D4×C3711yescharacteristic
1724C2×C4C22×D4×C3711yescharacteristic
1725C2×C4C22×D4×C3711yescharacteristic
1726C2×C4C22×D4×C3711yescharacteristic
1727C2×C4C22×D4×C3711yescharacteristic
1728C2×C4C22×D4×C3711yescharacteristic
1729C2×C4C25×C3711yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—21no—
1735C8—21no—
1736C8—21no—
1737C8—21no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—22no—
1743C22—21no—
1744C22—21no—
1745C22—21no—
1746C22—21no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—84no—
1765C22—84no—
1766C22—162no—
1767C22—162no—
1768C22C37×#57512yes—
1769C22C23×D4×C3711yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—21no—
1778C4—21no—
1779C4—21no—
1780C4—21no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4C2×H(5,𝔽2)×C3711yescharacteristic
1792C4C37×#58511yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—41no—
1796C2—42no—
1797C2—81no—
1798C2—81no—
1799C2—81no—
1800C2—81no—
1801C2—81no—
1802C2C37×#348811yescharacteristic
1803C2C2×C37×#57511yescharacteristic
1804C2C37×#358511yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C4×#41×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3514C2semidirect
2. C37×#3481C2semidirect
3. C37×#3403C2semidirect
4. C37×#3401C2semidirect
5. C37×#3376C2semidirect
6. C37×#3370C2semidirect
7. C37×#3326C2semidirect
8. C37×#3322C2semidirect
9. C37×#3320C2semidirect
10. C37×#3318C2semidirect
11. C37×#3316C2semidirect
12. C37×#3314C2semidirect
13. C37×#3275C2semidirect
14. C37×#3273C2semidirect
15. C37×#3266C2semidirect
16. C37×#3265C2semidirect
17. C37×#3264C2semidirect
18. C37×#3264C2semidirect
19. C37×#3256C2semidirect
20. C37×#3251C2semidirect
21. C37×#3250C2semidirect
22. C37×#3219C2semidirect
23. C37×#3213C2semidirect
24. C37×#3211C2semidirect
25. C37×#3114C2semidirect
26. C37×#3111C2semidirect
27. C37×#3105C2semidirect
28. C37×#3040C2semidirect
29. C37×#3036C2semidirect
30. C2×C37×#463C2semidirect
31. C37×#2989C2semidirect
32. C2×#137×C37C22semidirect
34. C2×AGL(1,ℤ/8)×C37C22semidirect
35. C2×AGL(1,ℤ/8)×C37C22semidirect
36. C22×SD16×C37C22semidirect
38. C37×#559C22semidirect
39. C37×#559C22semidirect
40. C37×#556C22semidirect
42. C37×#554C22semidirect
43. C37×#554C22semidirect
46. C37×#553C22semidirect
51. D4×Q8×C37C22semidirect
53. C37×#548C22semidirect
58. C37×#546C22semidirect
59. C37×#546C22semidirect
60. D42×C37C22semidirect
61. D42×C37C22semidirect
65. C37×#532C22semidirect
66. C37×#532C22semidirect
68. C37×#529C22semidirect
69. C37×#529C22semidirect
70. C37×#529C22semidirect
71. C37×#529C22semidirect
72. C37×#529C22semidirect
73. C2×#124×C37C22semidirect
74. C2×#124×C37C22semidirect
79. C4×#41×C37C22semidirect
81. C2×C4×D4×C37C22semidirect
82. C2×C4×D4×C37C22semidirect
83. C37×#497C22semidirect
85. C37×#496C22semidirect
86. C37×#496C22semidirect
87. C37×#495C22semidirect
88. C37×#495C22semidirect
89. C37×#491C22semidirect
90. C37×#490C22semidirect
91. C37×#489C22semidirect
92. C37×#489C22semidirect
93. C37×#488C22semidirect
94. C37×#488C22semidirect
95. C37×#485C22semidirect
96. C37×#484C22semidirect
97. C37×#483C22semidirect
98. C37×#482C22semidirect
99. C37×#481C22semidirect
100. C37×#480C22semidirect
101. C37×#479C22semidirect
102. C37×#479C22semidirect
103. C37×#479C22semidirect
104. C37×#478C22semidirect
105. C37×#478C22semidirect
106. C37×#478C22semidirect
107. C37×#478C22semidirect
108. C37×#478C22semidirect
109. C37×#475C22semidirect
110. C37×#474C22semidirect
111. C37×#470C22semidirect
113. C37×#469C22semidirect
114. C37×#469C22semidirect
115. C37×#468C22semidirect
116. C37×#468C22semidirect
117. C37×#468C22semidirect
118. C37×#468C22semidirect
119. C37×#467C22semidirect
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
133. C37×#463C22semidirect
134. C37×#463C22semidirect
135. C37×#463C22semidirect
136. C37×#463C22semidirect
137. C37×#463C22semidirect
138. C37×#463C22semidirect
139. C37×#463C22semidirect
140. C37×#463C22semidirect
141. C37×#463C22semidirect
142. C37×#463C22semidirect
143. C37×#463C22semidirect
144. C37×#463C22semidirect
145. C37×#463C22semidirect
146. C37×#463C22semidirect
147. C37×#461C22semidirect
148. C37×#461C22semidirect
149. C37×#460C22semidirect
151. C37×#459C22semidirect
152. C37×#459C22semidirect
153. C37×#452C22semidirect
154. C37×#452C22semidirect
155. C37×#452C22semidirect
156. C37×#451C22semidirect
157. C37×#450C22semidirect
158. C37×#450C22semidirect
159. C37×#450C22semidirect
161. C37×#449C22semidirect
162. C37×#449C22semidirect
163. C37×#448C22semidirect
164. C37×#448C22semidirect
165. C37×#448C22semidirect
169. C37×#447C22semidirect
170. C37×#447C22semidirect
171. C37×#446C22semidirect
172. C37×#446C22semidirect
174. C37×#442C22semidirect
175. C37×#442C22semidirect
176. C37×#441C22semidirect
177. C37×#440C22semidirect
178. C37×#440C22semidirect
179. C37×#440C22semidirect
180. C37×#440C22semidirect
181. C4×SD16×C37C22semidirect
182. C4×SD16×C37C22semidirect
183. C4×D8×C37C22semidirect
184. C4×D8×C37C22semidirect
185. C37×#436C22semidirect
186. C37×#436C22semidirect
187. C37×#435C22semidirect
188. C37×#435C22semidirect
189. C37×#435C22semidirect
190. C37×#435C22semidirect
191. C37×#432C22semidirect
192. C37×#432C22semidirect
193. C37×#431C22semidirect
194. C37×#423C22semidirect
195. C37×#423C22semidirect
196. C2×C4⋊C8×C37C22semidirect
197. C37×#419C22semidirect
198. C37×#418C22semidirect
199. C37×#417C22semidirect
200. C37×#417C22semidirect
201. C2×#103×C37C22semidirect
202. C2×#102×C37C22semidirect
835. #61971C37direct (N × H)
891. #3514C2×C37semidirect
892. #3481C2×C37semidirect
893. #3403C2×C37semidirect
894. #3401C2×C37semidirect
895. #3376C2×C37semidirect
896. #3370C2×C37semidirect
897. #3326C2×C37semidirect
898. #3322C2×C37semidirect
899. #3320C2×C37semidirect
900. #3318C2×C37semidirect
901. #3316C2×C37semidirect
902. #3314C2×C37semidirect
903. #3275C2×C37semidirect
904. #3273C2×C37semidirect
905. #3266C2×C37semidirect
906. #3265C2×C37semidirect
907. #3264C2×C37semidirect
908. #3264C2×C37semidirect
909. #3256C2×C37semidirect
910. #3251C2×C37semidirect
911. #3250C2×C37semidirect
912. #3219C2×C37semidirect
913. #3213C2×C37semidirect
914. #3211C2×C37semidirect
915. #3114C2×C37semidirect
916. #3111C2×C37semidirect
917. #3105C2×C37semidirect
918. #3040C2×C37semidirect
919. #3036C2×C37semidirect
920. C2×#463C2×C37semidirect
921. #2989C2×C37semidirect
934. C2×#137C22×C37semidirect
936. C2×AGL(1,ℤ/8)C22×C37semidirect
937. C2×AGL(1,ℤ/8)C22×C37semidirect
938. C22×SD16C22×C37semidirect
940. #559C22×C37semidirect
941. #559C22×C37semidirect
942. #556C22×C37semidirect
944. #554C22×C37semidirect
945. #554C22×C37semidirect
948. #553C22×C37semidirect
953. D4×Q8C22×C37semidirect
955. #548C22×C37semidirect
960. #546C22×C37semidirect
961. #546C22×C37semidirect
962. D42C22×C37semidirect
963. D42C22×C37semidirect
967. #532C22×C37semidirect
968. #532C22×C37semidirect
970. #529C22×C37semidirect
971. #529C22×C37semidirect
972. #529C22×C37semidirect
973. #529C22×C37semidirect
974. #529C22×C37semidirect
975. C2×#124C22×C37semidirect
976. C2×#124C22×C37semidirect
981. C4×#41C22×C37semidirect
983. C2×C4×D4C22×C37semidirect
984. C2×C4×D4C22×C37semidirect
985. #497C22×C37semidirect
987. #496C22×C37semidirect
988. #496C22×C37semidirect
989. #495C22×C37semidirect
990. #495C22×C37semidirect
991. #491C22×C37semidirect
992. #490C22×C37semidirect
993. #489C22×C37semidirect
994. #489C22×C37semidirect
995. #488C22×C37semidirect
996. #488C22×C37semidirect
997. #485C22×C37semidirect
998. #484C22×C37semidirect
999. #483C22×C37semidirect
1000. #482C22×C37semidirect
1001. #481C22×C37semidirect
1002. #480C22×C37semidirect
1003. #479C22×C37semidirect
1004. #479C22×C37semidirect
1005. #479C22×C37semidirect
1006. #478C22×C37semidirect
1007. #478C22×C37semidirect
1008. #478C22×C37semidirect
1009. #478C22×C37semidirect
1010. #478C22×C37semidirect
1011. #475C22×C37semidirect
1012. #474C22×C37semidirect
1013. #470C22×C37semidirect
1015. #469C22×C37semidirect
1016. #469C22×C37semidirect
1017. #468C22×C37semidirect
1018. #468C22×C37semidirect
1019. #468C22×C37semidirect
1020. #468C22×C37semidirect
1021. #467C22×C37semidirect
1023. #465C22×C37semidirect
1024. #465C22×C37semidirect
1025. #464C22×C37semidirect
1026. #464C22×C37semidirect
1027. #464C22×C37semidirect
1028. #464C22×C37semidirect
1029. #464C22×C37semidirect
1030. #464C22×C37semidirect
1031. #464C22×C37semidirect
1035. #463C22×C37semidirect
1036. #463C22×C37semidirect
1037. #463C22×C37semidirect
1038. #463C22×C37semidirect
1039. #463C22×C37semidirect
1040. #463C22×C37semidirect
1041. #463C22×C37semidirect
1042. #463C22×C37semidirect
1043. #463C22×C37semidirect
1044. #463C22×C37semidirect
1045. #463C22×C37semidirect
1046. #463C22×C37semidirect
1047. #463C22×C37semidirect
1048. #463C22×C37semidirect
1049. #461C22×C37semidirect
1050. #461C22×C37semidirect
1051. #460C22×C37semidirect
1053. #459C22×C37semidirect
1054. #459C22×C37semidirect
1055. #452C22×C37semidirect
1056. #452C22×C37semidirect
1057. #452C22×C37semidirect
1058. #451C22×C37semidirect
1059. #450C22×C37semidirect
1060. #450C22×C37semidirect
1061. #450C22×C37semidirect
1063. #449C22×C37semidirect
1064. #449C22×C37semidirect
1065. #448C22×C37semidirect
1066. #448C22×C37semidirect
1067. #448C22×C37semidirect
1071. #447C22×C37semidirect
1072. #447C22×C37semidirect
1073. #446C22×C37semidirect
1074. #446C22×C37semidirect
1076. #442C22×C37semidirect
1077. #442C22×C37semidirect
1078. #441C22×C37semidirect
1079. #440C22×C37semidirect
1080. #440C22×C37semidirect
1081. #440C22×C37semidirect
1082. #440C22×C37semidirect
1083. C4×SD16C22×C37semidirect
1084. C4×SD16C22×C37semidirect
1085. C4×D8C22×C37semidirect
1086. C4×D8C22×C37semidirect
1087. #436C22×C37semidirect
1088. #436C22×C37semidirect
1089. #435C22×C37semidirect
1090. #435C22×C37semidirect
1091. #435C22×C37semidirect
1092. #435C22×C37semidirect
1093. #432C22×C37semidirect
1094. #432C22×C37semidirect
1095. #431C22×C37semidirect
1096. #423C22×C37semidirect
1097. #423C22×C37semidirect
1098. C2×C4⋊C8C22×C37semidirect
1099. #419C22×C37semidirect
1100. #418C22×C37semidirect
1101. #417C22×C37semidirect
1102. #417C22×C37semidirect
1103. C2×#103C22×C37semidirect
1104. C2×#102C22×C37semidirect
1105. C37#61971direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35142
C37×#34812
C37×#34032
C37×#34012
C37×#33762
C37×#33702
C37×#33262
C37×#33222
C37×#33202
C37×#33182
C37×#33162
C37×#33142
C37×#32752
C37×#32732
C37×#32662
C37×#32652
C37×#32642
C37×#32562
C37×#32512
C37×#32502
C37×#32192
C37×#32132
C37×#32112
C37×#31142
C37×#31112
C37×#31052
C37×#30402
C37×#30362
C2×C37×#4632
C37×#29892
#6197137