Finite Group Databasebeta

← C37×#62076 #22683329

Subgroups — C37×#62076 #22683329

Order 9472.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3562C211yesmaximal, characteristic, complemented
2C37×#3520C211yesmaximal, characteristic, complemented
3C37×#3402C211yesmaximal, characteristic, complemented
4C37×#3401C211yesmaximal, characteristic, complemented
5C37×#3373C211yesmaximal, characteristic, complemented
6C37×#3367C211yesmaximal, characteristic, complemented
7C37×#3333C211yesmaximal, characteristic, complemented
8C37×#3331C211yesmaximal, characteristic, complemented
9C37×#3316C211yesmaximal, characteristic, complemented
10C37×#3314C211yesmaximal, characteristic, complemented
11C37×#3308C211yesmaximal, characteristic, complemented
12C37×#3306C211yesmaximal, characteristic, complemented
13C37×#3275C211yesmaximal, characteristic, complemented
14C37×#3273C211yesmaximal, characteristic, complemented
15C37×#3269C211yesmaximal, characteristic, complemented
16C37×#3268C211yesmaximal, characteristic, complemented
17C37×#3267C211yesmaximal, characteristic, complemented
18C37×#3267C211yesmaximal, characteristic, complemented
19C37×#3258C211yesmaximal, characteristic, complemented
20C37×#3257C211yesmaximal, characteristic, complemented
21C37×#3252C211yesmaximal, characteristic, complemented
22C37×#3225C211yesmaximal, characteristic, complemented
23C37×#3224C211yesmaximal, characteristic, complemented
24C37×#3216C211yesmaximal, characteristic, complemented
25C37×#3120C211yesmaximal, characteristic, complemented
26C37×#3119C211yesmaximal, characteristic, complemented
27C37×#3114C211yesmaximal, characteristic, complemented
28C37×#3046C211yesmaximal, characteristic, complemented
29C37×#3045C211yesmaximal, characteristic, complemented
30C37×#3036C211yesmaximal, characteristic, complemented
31C37×#2995C211yesmaximal, characteristic, complemented
32C2×#137×C37C2211yescharacteristic, complemented
33C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
34C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
35C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
36C2×#135×C37C2211yescharacteristic
37C2×#135×C37C2211yescharacteristic
38C37×#562—21no—
39C37×#560—21no—
40C37×#559C2211yescharacteristic, complemented
41C37×#556C2211yescharacteristic, complemented
42C37×#556C2211yescharacteristic, complemented
43C37×#554C2211yescharacteristic
44C37×#554C2211yescharacteristic, complemented
45C37×#553—21no—
46C37×#552—21no—
47C37×#551—21no—
48C37×#551—21no—
49C37×#551—21no—
50C37×#550C2211yescharacteristic
51D4×Q8×C37C2211yescharacteristic, complemented
52C37×#548—21no—
53C37×#548C2211yescharacteristic
54C37×#548C2211yescharacteristic, complemented
55C37×#547C2211yescharacteristic
56C37×#547C2211yescharacteristic
57C37×#547C2211yescharacteristic
58C37×#546C2211yescharacteristic
59C37×#546C2211yescharacteristic
60C37×#546C2211yescharacteristic, complemented
61C37×#546C2211yescharacteristic, complemented
62C37×#542C2211yescharacteristic
63C37×#542C2211yescharacteristic, complemented
64C37×#541C2211yescharacteristic, complemented
65C37×#540—21no—
66C37×#540C2211yescharacteristic, complemented
67C37×#539—21no—
68C37×#539—21no—
69C37×#539—21no—
70C37×#538—21no—
71C37×#538—21no—
72C37×#536C2211yescharacteristic, complemented
73C37×#535C2211yescharacteristic, complemented
74C37×#533C2211yescharacteristic, complemented
75C37×#532C2211yescharacteristic
76C37×#529C2211yescharacteristic
77C37×#529C2211yescharacteristic
78C37×#525—21no—
79C2×C22⋊Q8×C37—21no—
80C37×#520C2211yescharacteristic
81C37×#520C2211yescharacteristic, complemented
82C2×C4×D4×C37C2211yescharacteristic, complemented
83C37×#497C2211yescharacteristic, complemented
84C37×#497C2211yescharacteristic, complemented
85C37×#497C2211yescharacteristic, complemented
86C37×#496C2211yescharacteristic
87C37×#495C2211yescharacteristic
88C37×#495C2211yescharacteristic
89C37×#489C2211yescharacteristic, complemented
90C37×#489C2211yescharacteristic, complemented
91C37×#489C2211yescharacteristic, complemented
92C37×#489C2211yescharacteristic, complemented
93C37×#487C2211yescharacteristic, complemented
94C37×#486C2211yescharacteristic, complemented
95C37×#484C2211yescharacteristic, complemented
96C37×#483C2211yescharacteristic, complemented
97C37×#483C2211yescharacteristic, complemented
98C37×#481C2211yescharacteristic, complemented
99C37×#480C2211yescharacteristic
100C37×#480C2211yescharacteristic, complemented
101C37×#479C2211yescharacteristic, complemented
102C37×#479C2211yescharacteristic, complemented
103C37×#478C2211yescharacteristic, complemented
104C37×#478C2211yescharacteristic, complemented
105C37×#477C2211yescharacteristic, complemented
106C37×#477C2211yescharacteristic, complemented
107C37×#476C2211yescharacteristic, complemented
108C37×#476C2211yescharacteristic, complemented
109C37×#475C2211yescharacteristic, complemented
110C37×#474C2211yescharacteristic, complemented
111C37×#470C2211yescharacteristic, complemented
112C37×#470C2211yescharacteristic, complemented
113C37×#470C2211yescharacteristic, complemented
114C37×#469C2211yescharacteristic
115C37×#468C2211yescharacteristic
116C37×#468C2211yescharacteristic
117C37×#468C2211yescharacteristic
118C37×#468C2211yescharacteristic, complemented
119C37×#467C2211yescharacteristic, complemented
120C37×#466C2211yescharacteristic, complemented
121C37×#465C2211yescharacteristic
122C37×#465C2211yescharacteristic, complemented
123C37×#464C2211yescharacteristic, complemented
124C37×#464C2211yescharacteristic, complemented
125C37×#464C2211yescharacteristic, complemented
126C37×#464C2211yescharacteristic, complemented
127C37×#464C2211yescharacteristic, complemented
128C37×#464C2211yescharacteristic, complemented
129C37×#463C2211yescharacteristic
130C37×#463C2211yescharacteristic
131C37×#463C2211yescharacteristic
132C37×#463C2211yescharacteristic
133C37×#463C2211yescharacteristic
134C37×#463C2211yescharacteristic
135C37×#463C2211yescharacteristic
136C37×#463C2211yescharacteristic, complemented
137C37×#463C2211yescharacteristic, complemented
138C37×#463C2211yescharacteristic, complemented
139C37×#462C2211yescharacteristic, complemented
140C37×#462C2211yescharacteristic, complemented
141C37×#462C2211yescharacteristic, complemented
142C37×#462C2211yescharacteristic, complemented
143C37×#461C2211yescharacteristic, complemented
144C37×#461C2211yescharacteristic, complemented
145C37×#461C2211yescharacteristic, complemented
146C37×#461C2211yescharacteristic, complemented
147C37×#460C2211yescharacteristic, complemented
148C37×#460C2211yescharacteristic, complemented
149C37×#460C2211yescharacteristic, complemented
150C37×#459C2211yescharacteristic
151C37×#459C2211yescharacteristic
152C37×#459C2211yescharacteristic
153C37×#452C2211yescharacteristic
154C37×#452C2211yescharacteristic
155C37×#452C2211yescharacteristic
156C37×#452C2211yescharacteristic
157C37×#452C2211yescharacteristic, complemented
158C37×#452C2211yescharacteristic, complemented
159C37×#452C2211yescharacteristic, complemented
160C37×#452C2211yescharacteristic, complemented
161C37×#451C2211yescharacteristic, complemented
162C37×#450C2211yescharacteristic, complemented
163C37×#450C2211yescharacteristic, complemented
164C37×#449C2211yescharacteristic
165C37×#449C2211yescharacteristic
166C37×#449C2211yescharacteristic
167C37×#449C2211yescharacteristic, complemented
168C37×#448C2211yescharacteristic, complemented
169C37×#447C2211yescharacteristic
170C37×#447C2211yescharacteristic
171C37×#446C2211yescharacteristic, complemented
172C37×#446C2211yescharacteristic, complemented
173C37×#442C2211yescharacteristic
174C37×#442C2211yescharacteristic
175C37×#442C2211yescharacteristic, complemented
176C37×#441C2211yescharacteristic, complemented
177C37×#440C2211yescharacteristic, complemented
178C37×#440C2211yescharacteristic, complemented
179C37×#440C2211yescharacteristic, complemented
180C37×#440C2211yescharacteristic, complemented
181C4×Q16×C37C2211yescharacteristic, complemented
182C4×SD16×C37C2211yescharacteristic, complemented
183C4×SD16×C37C2211yescharacteristic, complemented
184C4×D8×C37C2211yescharacteristic
185C37×#436C2211yescharacteristic
186C37×#436C2211yescharacteristic, complemented
187C37×#435C2211yescharacteristic
188C37×#435C2211yescharacteristic, complemented
189C37×#435C2211yescharacteristic, complemented
190C37×#435C2211yescharacteristic, complemented
191C37×#433C2211yescharacteristic, complemented
192C37×#433C2211yescharacteristic, complemented
193C37×#432C2211yescharacteristic, complemented
194C37×#424C2211yescharacteristic, complemented
195C37×#424C2211yescharacteristic, complemented
196C37×#423C2211yescharacteristic, complemented
197C37×#417C2211yescharacteristic
198C37×#417C2211yescharacteristic, complemented
199C37×#417C2211yescharacteristic, complemented
200C37×#417C2211yescharacteristic, complemented
201C2×#103×C37C2211yescharacteristic, complemented
202C2×#102×C37C2211yescharacteristic, complemented
203C2×#41×C37—21no—
204C2×#41×C37C2311yescharacteristic
205C2×#41×C37C2311yescharacteristic
206C2×#41×C37C2311yescharacteristic
207C2×#41×C37C2311yescharacteristic
208C2×#41×C37C2311yescharacteristic
209C2×#41×C37C2311yescharacteristic
210C22×Q8×C37—21no—
211C22×Q8×C37C2311yescharacteristic
212C22×D4×C37C2311yescharacteristic
213C22×D4×C37C2311yescharacteristic
214C23×C4×C37—21no—
215#137×C37—42no—
216AGL(1,ℤ/8)×C37—42no—
217AGL(1,ℤ/8)×C37—42no—
218AGL(1,ℤ/8)×C37—42no—
219#135×C37—42no—
220#135×C37—42no—
221C2×Q16×C37C2311yescharacteristic
222C2×Q16×C37C2311yescharacteristic
223C2×Q16×C37C2311yescharacteristic
224C2×Q16×C37C2311yescharacteristic
225C2×Q16×C37C2311yescharacteristic
226C2×Q16×C37C2311yescharacteristic
227C2×SD16×C37C2311yescharacteristic
228C2×SD16×C37C2311yescharacteristic
229C2×SD16×C37C2311yescharacteristic
230C2×SD16×C37C2311yescharacteristic
231C2×SD16×C37C2311yescharacteristic
232C2×SD16×C37C2311yescharacteristic
233C2×SD16×C37C2311yescharacteristic
234C2×SD16×C37C2311yescharacteristic
235C2×SD16×C37C2311yescharacteristic
236C2×SD16×C37C2311yescharacteristic
237C2×SD16×C37C2311yescharacteristic
238C2×SD16×C37C2311yescharacteristic
239C2×D8×C37C2311yescharacteristic
240C2×D8×C37C2311yescharacteristic
241C2×D8×C37C2311yescharacteristic
242C2×D8×C37C2311yescharacteristic
243C2×D8×C37C2311yescharacteristic
244C2×D8×C37C2311yescharacteristic
245C2×M16×C37C2311yescharacteristic
246C2×M16×C37C2311yescharacteristic
247C2×M16×C37C2311yescharacteristic
248C2×M16×C37C2311yescharacteristic
249C22×C8×C37C2311yescharacteristic
250C22×C8×C37C2311yescharacteristic
251C4⋊Q8×C37C2311yescharacteristic
252C4⋊Q8×C37C2311yescharacteristic
253C4⋊Q8×C37C2311yescharacteristic
254C4⋊Q8×C37C2311yescharacteristic
255C4⋊Q8×C37C2311yescharacteristic
256C4⋊Q8×C37C2311yescharacteristic
257#127×C37—21no—
258#127×C37C2311yescharacteristic
259#127×C37C2311yescharacteristic
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×C37D411yescharacteristic
277#125×C37C2311yescharacteristic
278#124×C37—21no—
279#124×C37—21no—
280#124×C37—21no—
281#124×C37—21no—
282#124×C37—21no—
283#124×C37D411yescharacteristic
284#124×C37C2311yescharacteristic
285#124×C37C2311yescharacteristic
286#124×C37C2311yescharacteristic
287#124×C37C2311yescharacteristic
288#124×C37C2311yescharacteristic
289#124×C37C2311yescharacteristic
290#124×C37C2311yescharacteristic
291#123×C37—21no—
292#123×C37—21no—
293#123×C37—21no—
294#123×C37—21no—
295#123×C37—21no—
296#123×C37—21no—
297#123×C37—21no—
298#123×C37—21no—
299#123×C37—21no—
300#123×C37—21no—
301#123×C37—21no—
302#123×C37—21no—
303#123×C37—21no—
304#123×C37—21no—
305#123×C37—21no—
306#123×C37—21no—
307#123×C37—21no—
308#123×C37—21no—
309#123×C37—21no—
310#123×C37D411yescharacteristic
311#123×C37D411yescharacteristic
312C22⋊Q8×C37—21no—
313C22⋊Q8×C37—21no—
314C22⋊Q8×C37—21no—
315C22⋊Q8×C37—21no—
316C22⋊Q8×C37—21no—
317C22⋊Q8×C37—21no—
318C22⋊Q8×C37—21no—
319C22⋊Q8×C37—21no—
320C22⋊Q8×C37—21no—
321C22⋊Q8×C37—21no—
322C22⋊Q8×C37—21no—
323C22⋊Q8×C37—21no—
324C22⋊Q8×C37—21no—
325C22⋊Q8×C37—21no—
326C22⋊Q8×C37—21no—
327C22⋊Q8×C37—21no—
328C22⋊Q8×C37—21no—
329C22⋊Q8×C37D411yescharacteristic
330C22⋊Q8×C37C2311yescharacteristic
331C22⋊Q8×C37C2311yescharacteristic
332C22⋊Q8×C37C2311yescharacteristic
333C22⋊Q8×C37C2311yescharacteristic
334C22⋊Q8×C37C2311yescharacteristic
335C22⋊Q8×C37C2311yescharacteristic
336C22⋊Q8×C37C2311yescharacteristic
337#121×C37—21no—
338#121×C37—21no—
339#121×C37—21no—
340#121×C37—21no—
341#121×C37—21no—
342#121×C37—21no—
343#121×C37—21no—
344#121×C37—21no—
345#121×C37—21no—
346#121×C37—21no—
347#121×C37—21no—
348#121×C37—21no—
349#121×C37—21no—
350#121×C37—21no—
351#121×C37—21no—
352#121×C37—21no—
353#121×C37D411yescharacteristic
354#121×C37C2311yescharacteristic
355#121×C37C2311yescharacteristic
356#121×C37C2311yescharacteristic
357#121×C37C2311yescharacteristic
358#121×C37C2311yescharacteristic
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×C37C2311yescharacteristic
367C4×Q8×C37C2311yescharacteristic
368C4×Q8×C37C2311yescharacteristic
369C4×Q8×C37C2311yescharacteristic
370C4×Q8×C37C2311yescharacteristic
371C4×Q8×C37C2311yescharacteristic
372C4×Q8×C37C2311yescharacteristic
373C4×Q8×C37C2311yescharacteristic
374C4×D4×C37—21no—
375C4×D4×C37—21no—
376C4×D4×C37—21no—
377C4×D4×C37—21no—
378C4×D4×C37—21no—
379C4×D4×C37—21no—
380C4×D4×C37—21no—
381C4×D4×C37—21no—
382C4×D4×C37—21no—
383C4×D4×C37—21no—
384C4×D4×C37—21no—
385C4×D4×C37—21no—
386C4×D4×C37—21no—
387C4×D4×C37—21no—
388C4×D4×C37—21no—
389C4×D4×C37C2311yescharacteristic
390C4×D4×C37C2311yescharacteristic
391C4×D4×C37C2311yescharacteristic
392C4×D4×C37C2311yescharacteristic
393C4×D4×C37C2311yescharacteristic
394C4×D4×C37C2311yescharacteristic
395C4×D4×C37C2311yescharacteristic
396C4×D4×C37C2311yescharacteristic
397C4×D4×C37C2311yescharacteristic
398C4×D4×C37C2311yescharacteristic
399C4×D4×C37C2311yescharacteristic
400C4×D4×C37C2311yescharacteristic
401#117×C37—21no—
402#117×C37—21no—
403#117×C37—21no—
404#117×C37—21no—
405#117×C37—21no—
406#117×C37—21no—
407#117×C37C2311yescharacteristic
408#117×C37C2311yescharacteristic
409C2×C4⋊C4×C37—21no—
410C2×C4⋊C4×C37—21no—
411C2×C4⋊C4×C37—21no—
412C2×C4⋊C4×C37—21no—
413C2×C4⋊C4×C37C2311yescharacteristic
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×C22⋊C4×C37—21no—
421C2×C42×C37C2311yescharacteristic
422#107×C37C2311yescharacteristic
423#107×C37C2311yescharacteristic
424#107×C37C2311yescharacteristic
425#107×C37C2311yescharacteristic
426#106×C37C2311yescharacteristic
427#106×C37C2311yescharacteristic
428#106×C37C2311yescharacteristic
429#106×C37C2311yescharacteristic
430C4⋊C8×C37C2311yescharacteristic
431C4⋊C8×C37C2311yescharacteristic
432C4⋊C8×C37C2311yescharacteristic
433C4⋊C8×C37C2311yescharacteristic
434C4⋊C8×C37C2311yescharacteristic
435C4⋊C8×C37C2311yescharacteristic
436C4⋊C8×C37C2311yescharacteristic
437C4⋊C8×C37C2311yescharacteristic
438C4⋊C8×C37C2311yescharacteristic
439C4⋊C8×C37C2311yescharacteristic
440#103×C37C2311yescharacteristic
441#103×C37C2311yescharacteristic
442#103×C37C2311yescharacteristic
443#103×C37C2311yescharacteristic
444#103×C37C2311yescharacteristic
445#103×C37C2311yescharacteristic
446#103×C37C2311yescharacteristic
447#103×C37C2311yescharacteristic
448#103×C37C2311yescharacteristic
449#103×C37C2311yescharacteristic
450#103×C37C2311yescharacteristic
451#103×C37C2311yescharacteristic
452#103×C37C2311yescharacteristic
453#103×C37C2311yescharacteristic
454#103×C37C2311yescharacteristic
455#103×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—
486#41×C37—22no—
487#41×C37—22no—
488#41×C37—41no—
489#41×C37—41no—
490#41×C37—41no—
491#41×C37—41no—
492#41×C37—41no—
493#41×C37—41no—
494#41×C37—41no—
495#41×C37—41no—
496#41×C37—41no—
497#41×C37—41no—
498#41×C37—82no—
499C2×Q8×C37—21no—
500C2×Q8×C37—21no—
501C2×Q8×C37—21no—
502C2×Q8×C37—21no—
503C2×Q8×C37—41no—
504C2×Q8×C37—41no—
505C2×Q8×C37—82no—
506C2×Q8×C37C2×D411yescharacteristic
507C2×Q8×C37C2411yescharacteristic
508C2×Q8×C37C2411yescharacteristic
509C2×Q8×C37C2411yescharacteristic
510C2×Q8×C37C2411yescharacteristic
511C2×Q8×C37C2411yescharacteristic
512C2×D4×C37—22no—
513C2×D4×C37—21no—
514C2×D4×C37—21no—
515C2×D4×C37—21no—
516C2×D4×C37—21no—
517C2×D4×C37—21no—
518C2×D4×C37—21no—
519C2×D4×C37—21no—
520C2×D4×C37—21no—
521C2×D4×C37—21no—
522C2×D4×C37—21no—
523C2×D4×C37—21no—
524C2×D4×C37—21no—
525C2×D4×C37—21no—
526C2×D4×C37—21no—
527C2×D4×C37—21no—
528C2×D4×C37—21no—
529C2×D4×C37—21no—
530C2×D4×C37—41no—
531C2×D4×C37—41no—
532C2×D4×C37—41no—
533C2×D4×C37C2×D411yescharacteristic
534C2×D4×C37C2×D411yescharacteristic
535C2×D4×C37C2×D411yescharacteristic
536C2×D4×C37C2411yescharacteristic
537C2×D4×C37C2411yescharacteristic
538C2×D4×C37C2411yescharacteristic
539C2×D4×C37C2411yescharacteristic
540C2×D4×C37C2411yescharacteristic
541C22×C4×C37—21no—
542C22×C4×C37—21no—
543C22×C4×C37—21no—
544C22×C4×C37—21no—
545C22×C4×C37—21no—
546C22×C4×C37—21no—
547C22×C4×C37—21no—
548C22×C4×C37—21no—
549C22×C4×C37—21no—
550C22×C4×C37—21no—
551C22×C4×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—82no—
561C22×C4×C37C2×D411yescharacteristic
562C22×C4×C37C2×D411yescharacteristic
563C22×C4×C37C2411yescharacteristic
564C22×C4×C37C2411yescharacteristic
565C22×C4×C37C2411yescharacteristic
566Q16×C37—41no—
567Q16×C37—41no—
568Q16×C37—41no—
569Q16×C37—41no—
570Q16×C37—41no—
571Q16×C37—41no—
572SD16×C37—22no—
573SD16×C37—22no—
574SD16×C37—22no—
575SD16×C37—41no—
576SD16×C37—41no—
577SD16×C37—41no—
578SD16×C37—41no—
579SD16×C37—41no—
580SD16×C37—41no—
581SD16×C37—41no—
582SD16×C37—41no—
583SD16×C37—41no—
584D8×C37—22no—
585D8×C37—22no—
586D8×C37—22no—
587D8×C37—41no—
588D8×C37—41no—
589D8×C37—41no—
590M16×C37—41no—
591M16×C37—41no—
592M16×C37—41no—
593M16×C37—41no—
594C2×C8×C37—41no—
595C2×C8×C37—41no—
596C2×C8×C37C2411yescharacteristic
597C2×C8×C37C2411yescharacteristic
598C2×C8×C37C2411yescharacteristic
599C2×C8×C37C2411yescharacteristic
600C2×C8×C37C2411yescharacteristic
601C2×C8×C37C2411yescharacteristic
602C2×C8×C37C2411yescharacteristic
603C2×C8×C37C2411yescharacteristic
604C4⋊C4×C37—21no—
605C4⋊C4×C37—21no—
606C4⋊C4×C37—21no—
607C4⋊C4×C37—21no—
608C4⋊C4×C37—21no—
609C4⋊C4×C37—21no—
610C4⋊C4×C37—21no—
611C4⋊C4×C37—21no—
612C4⋊C4×C37—21no—
613C4⋊C4×C37—21no—
614C4⋊C4×C37—21no—
615C4⋊C4×C37—21no—
616C4⋊C4×C37—21no—
617C4⋊C4×C37—21no—
618C4⋊C4×C37—21no—
619C4⋊C4×C37—21no—
620C4⋊C4×C37—21no—
621C4⋊C4×C37—21no—
622C4⋊C4×C37—21no—
623C4⋊C4×C37—21no—
624C4⋊C4×C37—21no—
625C4⋊C4×C37—21no—
626C4⋊C4×C37—21no—
627C4⋊C4×C37—21no—
628C4⋊C4×C37—21no—
629C4⋊C4×C37—21no—
630C4⋊C4×C37—21no—
631C4⋊C4×C37—21no—
632C4⋊C4×C37C2×D411yescharacteristic
633C4⋊C4×C37C2×D411yescharacteristic
634C4⋊C4×C37C2×D411yescharacteristic
635C4⋊C4×C37C2×D411yescharacteristic
636C4⋊C4×C37C2×D411yescharacteristic
637C4⋊C4×C37C2×D411yescharacteristic
638C4⋊C4×C37C2×D411yescharacteristic
639C4⋊C4×C37C2×D411yescharacteristic
640C4⋊C4×C37C2×D411yescharacteristic
641C4⋊C4×C37C2×D411yescharacteristic
642C4⋊C4×C37C2411yescharacteristic
643C4⋊C4×C37C2411yescharacteristic
644C4⋊C4×C37C2411yescharacteristic
645C4⋊C4×C37C2411yescharacteristic
646C4⋊C4×C37C2411yescharacteristic
647C4⋊C4×C37C2411yescharacteristic
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×C37C2×D411yescharacteristic
684C22⋊C4×C37C2×D411yescharacteristic
685C22⋊C4×C37C2×D411yescharacteristic
686C22⋊C4×C37C2×D411yescharacteristic
687C22⋊C4×C37C2×D411yescharacteristic
688C22⋊C4×C37C2×D411yescharacteristic
689C22⋊C4×C37C2×D411yescharacteristic
690C22⋊C4×C37C2×D411yescharacteristic
691C22⋊C4×C37C2×D411yescharacteristic
692C22⋊C4×C37C2×D411yescharacteristic
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—42no—
713C23×C37—81no—
714C23×C37—81no—
715C23×C37—81no—
716C23×C37—81no—
717C23×C37C22×D411yescharacteristic
718C23×C37C22×D411yescharacteristic
719C23×C37C22×D411yescharacteristic
720Q8×C37—21no—
721Q8×C37—21no—
722Q8×C37—21no—
723Q8×C37—21no—
724Q8×C37—21no—
725Q8×C37—21no—
726Q8×C37—21no—
727Q8×C37—21no—
728Q8×C37—21no—
729Q8×C37—21no—
730Q8×C37—41no—
731Q8×C37—42no—
732Q8×C37—81no—
733Q8×C37—81no—
734Q8×C37—81no—
735D4×C37—21no—
736D4×C37—21no—
737D4×C37—21no—
738D4×C37—21no—
739D4×C37—21no—
740D4×C37—21no—
741D4×C37—21no—
742D4×C37—21no—
743D4×C37—21no—
744D4×C37—41no—
745D4×C37—41no—
746D4×C37—41no—
747D4×C37—42no—
748D4×C37—42no—
749D4×C37—42no—
750D4×C37—81no—
751D4×C37—81no—
752D4×C37—81no—
753D4×C37—81no—
754D4×C37—81no—
755D4×C37—81no—
756D4×C37—81no—
757D4×C37—81no—
758D4×C37—81no—
759D4×C37—81no—
760D4×C37—81no—
761D4×C37—81no—
762D4×C37—81no—
763D4×C37—81no—
764D4×C37H(5,𝔽2)12yes—
765C2×C4×C37—21no—
766C2×C4×C37—21no—
767C2×C4×C37—21no—
768C2×C4×C37—21no—
769C2×C4×C37—21no—
770C2×C4×C37—21no—
771C2×C4×C37—21no—
772C2×C4×C37—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—41no—
783C2×C4×C37—41no—
784C2×C4×C37—42no—
785C2×C4×C37—42no—
786C2×C4×C37—42no—
787C2×C4×C37—42no—
788C2×C4×C37—81no—
789C2×C4×C37—81no—
790C2×C4×C37—81no—
791C2×C4×C37—81no—
792C2×C4×C37—81no—
793C2×C4×C37—81no—
794C2×C4×C37—81no—
795C2×C4×C37—81no—
796C2×C4×C37—81no—
797C2×C4×C37—81no—
798C2×C4×C37—81no—
799C2×C4×C37—81no—
800C2×C4×C37—81no—
801C2×C4×C37—81no—
802C2×C4×C37—81no—
803C2×C4×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#62076C3711yesmaximal, 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—21no—
833C22×C37—22no—
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—41no—
848C22×C37—84no—
849C22×C37—162no—
850C22×C37C23×D411yescharacteristic
851C4×C37—21no—
852C4×C37—21no—
853C4×C37—21no—
854C4×C37—21no—
855C4×C37—21no—
856C4×C37—21no—
857C4×C37—21no—
858C4×C37—21no—
859C4×C37—21no—
860C4×C37—21no—
861C4×C37—21no—
862C4×C37—41no—
863C4×C37—41no—
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×C37C2×H(5,𝔽2)11yescharacteristic
874C4×C37#58511yescharacteristic
875#3562C2×C3711yescharacteristic, complemented
876#3520C2×C3711yescharacteristic, complemented
877#3402C2×C3711yescharacteristic, complemented
878#3401C2×C3711yescharacteristic, complemented
879#3373C2×C3711yescharacteristic, complemented
880#3367C2×C3711yescharacteristic, complemented
881#3333C2×C3711yescharacteristic, complemented
882#3331C2×C3711yescharacteristic, complemented
883#3316C2×C3711yescharacteristic, complemented
884#3314C2×C3711yescharacteristic, complemented
885#3308C2×C3711yescharacteristic, complemented
886#3306C2×C3711yescharacteristic, complemented
887#3275C2×C3711yescharacteristic, complemented
888#3273C2×C3711yescharacteristic, complemented
889#3269C2×C3711yescharacteristic, complemented
890#3268C2×C3711yescharacteristic, complemented
891#3267C2×C3711yescharacteristic, complemented
892#3267C2×C3711yescharacteristic, complemented
893#3258C2×C3711yescharacteristic, complemented
894#3257C2×C3711yescharacteristic, complemented
895#3252C2×C3711yescharacteristic, complemented
896#3225C2×C3711yescharacteristic, complemented
897#3224C2×C3711yescharacteristic, complemented
898#3216C2×C3711yescharacteristic, complemented
899#3120C2×C3711yescharacteristic, complemented
900#3119C2×C3711yescharacteristic, complemented
901#3114C2×C3711yescharacteristic, complemented
902#3046C2×C3711yescharacteristic, complemented
903#3045C2×C3711yescharacteristic, complemented
904#3036C2×C3711yescharacteristic, complemented
905#2995C2×C3711yescharacteristic, complemented
906C2×C37—41no—
907C2×C37—41no—
908C2×C37—41no—
909C2×C37—42no—
910C2×C37—81no—
911C2×C37—81no—
912C2×C37—81no—
913C2×C37—81no—
914C2×C37#348811yescharacteristic
915C2×C37#358511yescharacteristic
916C2×C37#358611yescharacteristic
917C2×#137C22×C3711yescharacteristic, complemented
918C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
919C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
920C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
921C2×#135C22×C3711yescharacteristic
922C2×#135C22×C3711yescharacteristic
923#562—21no—
924#560—21no—
925#559C22×C3711yescharacteristic, complemented
926#556C22×C3711yescharacteristic, complemented
927#556C22×C3711yescharacteristic, complemented
928#554C22×C3711yescharacteristic
929#554C22×C3711yescharacteristic, complemented
930#553—21no—
931#552—21no—
932#551—21no—
933#551—21no—
934#551—21no—
935#550C22×C3711yescharacteristic
936D4×Q8C22×C3711yescharacteristic, complemented
937#548—21no—
938#548C22×C3711yescharacteristic
939#548C22×C3711yescharacteristic, complemented
940#547C22×C3711yescharacteristic
941#547C22×C3711yescharacteristic
942#547C22×C3711yescharacteristic
943#546C22×C3711yescharacteristic
944#546C22×C3711yescharacteristic
945#546C22×C3711yescharacteristic, complemented
946#546C22×C3711yescharacteristic, complemented
947#542C22×C3711yescharacteristic
948#542C22×C3711yescharacteristic, complemented
949#541C22×C3711yescharacteristic, complemented
950#540—21no—
951#540C22×C3711yescharacteristic, complemented
952#539—21no—
953#539—21no—
954#539—21no—
955#538—21no—
956#538—21no—
957#536C22×C3711yescharacteristic, complemented
958#535C22×C3711yescharacteristic, complemented
959#533C22×C3711yescharacteristic, complemented
960#532C22×C3711yescharacteristic
961#529C22×C3711yescharacteristic
962#529C22×C3711yescharacteristic
963#525—21no—
964C2×C22⋊Q8—21no—
965#520C22×C3711yescharacteristic
966#520C22×C3711yescharacteristic, complemented
967C2×C4×D4C22×C3711yescharacteristic, complemented
968#497C22×C3711yescharacteristic, complemented
969#497C22×C3711yescharacteristic, complemented
970#497C22×C3711yescharacteristic, complemented
971#496C22×C3711yescharacteristic
972#495C22×C3711yescharacteristic
973#495C22×C3711yescharacteristic
974#489C22×C3711yescharacteristic, complemented
975#489C22×C3711yescharacteristic, complemented
976#489C22×C3711yescharacteristic, complemented
977#489C22×C3711yescharacteristic, complemented
978#487C22×C3711yescharacteristic, complemented
979#486C22×C3711yescharacteristic, complemented
980#484C22×C3711yescharacteristic, complemented
981#483C22×C3711yescharacteristic, complemented
982#483C22×C3711yescharacteristic, complemented
983#481C22×C3711yescharacteristic, complemented
984#480C22×C3711yescharacteristic
985#480C22×C3711yescharacteristic, complemented
986#479C22×C3711yescharacteristic, complemented
987#479C22×C3711yescharacteristic, complemented
988#478C22×C3711yescharacteristic, complemented
989#478C22×C3711yescharacteristic, complemented
990#477C22×C3711yescharacteristic, complemented
991#477C22×C3711yescharacteristic, complemented
992#476C22×C3711yescharacteristic, complemented
993#476C22×C3711yescharacteristic, complemented
994#475C22×C3711yescharacteristic, complemented
995#474C22×C3711yescharacteristic, complemented
996#470C22×C3711yescharacteristic, complemented
997#470C22×C3711yescharacteristic, complemented
998#470C22×C3711yescharacteristic, complemented
999#469C22×C3711yescharacteristic
1000#468C22×C3711yescharacteristic
1001#468C22×C3711yescharacteristic
1002#468C22×C3711yescharacteristic
1003#468C22×C3711yescharacteristic, complemented
1004#467C22×C3711yescharacteristic, complemented
1005#466C22×C3711yescharacteristic, complemented
1006#465C22×C3711yescharacteristic
1007#465C22×C3711yescharacteristic, complemented
1008#464C22×C3711yescharacteristic, complemented
1009#464C22×C3711yescharacteristic, complemented
1010#464C22×C3711yescharacteristic, complemented
1011#464C22×C3711yescharacteristic, complemented
1012#464C22×C3711yescharacteristic, complemented
1013#464C22×C3711yescharacteristic, complemented
1014#463C22×C3711yescharacteristic
1015#463C22×C3711yescharacteristic
1016#463C22×C3711yescharacteristic
1017#463C22×C3711yescharacteristic
1018#463C22×C3711yescharacteristic
1019#463C22×C3711yescharacteristic
1020#463C22×C3711yescharacteristic
1021#463C22×C3711yescharacteristic, complemented
1022#463C22×C3711yescharacteristic, complemented
1023#463C22×C3711yescharacteristic, complemented
1024#462C22×C3711yescharacteristic, complemented
1025#462C22×C3711yescharacteristic, complemented
1026#462C22×C3711yescharacteristic, complemented
1027#462C22×C3711yescharacteristic, complemented
1028#461C22×C3711yescharacteristic, complemented
1029#461C22×C3711yescharacteristic, complemented
1030#461C22×C3711yescharacteristic, complemented
1031#461C22×C3711yescharacteristic, complemented
1032#460C22×C3711yescharacteristic, complemented
1033#460C22×C3711yescharacteristic, complemented
1034#460C22×C3711yescharacteristic, complemented
1035#459C22×C3711yescharacteristic
1036#459C22×C3711yescharacteristic
1037#459C22×C3711yescharacteristic
1038#452C22×C3711yescharacteristic
1039#452C22×C3711yescharacteristic
1040#452C22×C3711yescharacteristic
1041#452C22×C3711yescharacteristic
1042#452C22×C3711yescharacteristic, complemented
1043#452C22×C3711yescharacteristic, complemented
1044#452C22×C3711yescharacteristic, complemented
1045#452C22×C3711yescharacteristic, complemented
1046#451C22×C3711yescharacteristic, complemented
1047#450C22×C3711yescharacteristic, complemented
1048#450C22×C3711yescharacteristic, complemented
1049#449C22×C3711yescharacteristic
1050#449C22×C3711yescharacteristic
1051#449C22×C3711yescharacteristic
1052#449C22×C3711yescharacteristic, complemented
1053#448C22×C3711yescharacteristic, complemented
1054#447C22×C3711yescharacteristic
1055#447C22×C3711yescharacteristic
1056#446C22×C3711yescharacteristic, complemented
1057#446C22×C3711yescharacteristic, complemented
1058#442C22×C3711yescharacteristic
1059#442C22×C3711yescharacteristic
1060#442C22×C3711yescharacteristic, complemented
1061#441C22×C3711yescharacteristic, complemented
1062#440C22×C3711yescharacteristic, complemented
1063#440C22×C3711yescharacteristic, complemented
1064#440C22×C3711yescharacteristic, complemented
1065#440C22×C3711yescharacteristic, complemented
1066C4×Q16C22×C3711yescharacteristic, complemented
1067C4×SD16C22×C3711yescharacteristic, complemented
1068C4×SD16C22×C3711yescharacteristic, complemented
1069C4×D8C22×C3711yescharacteristic
1070#436C22×C3711yescharacteristic
1071#436C22×C3711yescharacteristic, complemented
1072#435C22×C3711yescharacteristic
1073#435C22×C3711yescharacteristic, complemented
1074#435C22×C3711yescharacteristic, complemented
1075#435C22×C3711yescharacteristic, complemented
1076#433C22×C3711yescharacteristic, complemented
1077#433C22×C3711yescharacteristic, complemented
1078#432C22×C3711yescharacteristic, complemented
1079#424C22×C3711yescharacteristic, complemented
1080#424C22×C3711yescharacteristic, complemented
1081#423C22×C3711yescharacteristic, complemented
1082#417C22×C3711yescharacteristic
1083#417C22×C3711yescharacteristic, complemented
1084#417C22×C3711yescharacteristic, complemented
1085#417C22×C3711yescharacteristic, complemented
1086C2×#103C22×C3711yescharacteristic, complemented
1087C2×#102C22×C3711yescharacteristic, complemented
1088C37#6207611yescharacteristic, direct product factor, Sylow
1089C2×#41—21no—
1090C2×#41C23×C3711yescharacteristic
1091C2×#41C23×C3711yescharacteristic
1092C2×#41C23×C3711yescharacteristic
1093C2×#41C23×C3711yescharacteristic
1094C2×#41C23×C3711yescharacteristic
1095C2×#41C23×C3711yescharacteristic
1096C22×Q8—21no—
1097C22×Q8C23×C3711yescharacteristic
1098C22×D4C23×C3711yescharacteristic
1099C22×D4C23×C3711yescharacteristic
1100C23×C4—21no—
1101#137—42no—
1102AGL(1,ℤ/8)—42no—
1103AGL(1,ℤ/8)—42no—
1104AGL(1,ℤ/8)—42no—
1105#135—42no—
1106#135—42no—
1107C2×Q16C23×C3711yescharacteristic
1108C2×Q16C23×C3711yescharacteristic
1109C2×Q16C23×C3711yescharacteristic
1110C2×Q16C23×C3711yescharacteristic
1111C2×Q16C23×C3711yescharacteristic
1112C2×Q16C23×C3711yescharacteristic
1113C2×SD16C23×C3711yescharacteristic
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×D8C23×C3711yescharacteristic
1126C2×D8C23×C3711yescharacteristic
1127C2×D8C23×C3711yescharacteristic
1128C2×D8C23×C3711yescharacteristic
1129C2×D8C23×C3711yescharacteristic
1130C2×D8C23×C3711yescharacteristic
1131C2×M16C23×C3711yescharacteristic
1132C2×M16C23×C3711yescharacteristic
1133C2×M16C23×C3711yescharacteristic
1134C2×M16C23×C3711yescharacteristic
1135C22×C8C23×C3711yescharacteristic
1136C22×C8C23×C3711yescharacteristic
1137C4⋊Q8C23×C3711yescharacteristic
1138C4⋊Q8C23×C3711yescharacteristic
1139C4⋊Q8C23×C3711yescharacteristic
1140C4⋊Q8C23×C3711yescharacteristic
1141C4⋊Q8C23×C3711yescharacteristic
1142C4⋊Q8C23×C3711yescharacteristic
1143#127—21no—
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#126D4×C3711yescharacteristic
1156#126D4×C3711yescharacteristic
1157#125—21no—
1158#125—21no—
1159#125—21no—
1160#125—21no—
1161#125—21no—
1162#125D4×C3711yescharacteristic
1163#125C23×C3711yescharacteristic
1164#124—21no—
1165#124—21no—
1166#124—21no—
1167#124—21no—
1168#124—21no—
1169#124D4×C3711yescharacteristic
1170#124C23×C3711yescharacteristic
1171#124C23×C3711yescharacteristic
1172#124C23×C3711yescharacteristic
1173#124C23×C3711yescharacteristic
1174#124C23×C3711yescharacteristic
1175#124C23×C3711yescharacteristic
1176#124C23×C3711yescharacteristic
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—21no—
1190#123—21no—
1191#123—21no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—21no—
1196#123D4×C3711yescharacteristic
1197#123D4×C3711yescharacteristic
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
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⋊Q8—21no—
1215C22⋊Q8D4×C3711yescharacteristic
1216C22⋊Q8C23×C3711yescharacteristic
1217C22⋊Q8C23×C3711yescharacteristic
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#121—21no—
1237#121—21no—
1238#121—21no—
1239#121D4×C3711yescharacteristic
1240#121C23×C3711yescharacteristic
1241#121C23×C3711yescharacteristic
1242#121C23×C3711yescharacteristic
1243#121C23×C3711yescharacteristic
1244#121C23×C3711yescharacteristic
1245#120—21no—
1246#120—21no—
1247#120—21no—
1248#120—21no—
1249#120—21no—
1250#120—21no—
1251C4×Q8—21no—
1252C4×Q8C23×C3711yescharacteristic
1253C4×Q8C23×C3711yescharacteristic
1254C4×Q8C23×C3711yescharacteristic
1255C4×Q8C23×C3711yescharacteristic
1256C4×Q8C23×C3711yescharacteristic
1257C4×Q8C23×C3711yescharacteristic
1258C4×Q8C23×C3711yescharacteristic
1259C4×Q8C23×C3711yescharacteristic
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×D4C23×C3711yescharacteristic
1276C4×D4C23×C3711yescharacteristic
1277C4×D4C23×C3711yescharacteristic
1278C4×D4C23×C3711yescharacteristic
1279C4×D4C23×C3711yescharacteristic
1280C4×D4C23×C3711yescharacteristic
1281C4×D4C23×C3711yescharacteristic
1282C4×D4C23×C3711yescharacteristic
1283C4×D4C23×C3711yescharacteristic
1284C4×D4C23×C3711yescharacteristic
1285C4×D4C23×C3711yescharacteristic
1286C4×D4C23×C3711yescharacteristic
1287#117—21no—
1288#117—21no—
1289#117—21no—
1290#117—21no—
1291#117—21no—
1292#117—21no—
1293#117C23×C3711yescharacteristic
1294#117C23×C3711yescharacteristic
1295C2×C4⋊C4—21no—
1296C2×C4⋊C4—21no—
1297C2×C4⋊C4—21no—
1298C2×C4⋊C4—21no—
1299C2×C4⋊C4C23×C3711yescharacteristic
1300C2×C4⋊C4C23×C3711yescharacteristic
1301C2×C4⋊C4C23×C3711yescharacteristic
1302C2×C22⋊C4—21no—
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—21no—
1307C2×C42C23×C3711yescharacteristic
1308#107C23×C3711yescharacteristic
1309#107C23×C3711yescharacteristic
1310#107C23×C3711yescharacteristic
1311#107C23×C3711yescharacteristic
1312#106C23×C3711yescharacteristic
1313#106C23×C3711yescharacteristic
1314#106C23×C3711yescharacteristic
1315#106C23×C3711yescharacteristic
1316C4⋊C8C23×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
1326#103C23×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#103C23×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
1358C22⋊C8C23×C3711yescharacteristic
1359C22⋊C8C23×C3711yescharacteristic
1360C22⋊C8C23×C3711yescharacteristic
1361C22⋊C8C23×C3711yescharacteristic
1362C22⋊C8C23×C3711yescharacteristic
1363C22⋊C8C23×C3711yescharacteristic
1364#97C23×C3711yescharacteristic
1365#97C23×C3711yescharacteristic
1366#97C23×C3711yescharacteristic
1367#97C23×C3711yescharacteristic
1368C4×C8C23×C3711yescharacteristic
1369C4×C8C23×C3711yescharacteristic
1370C24—21no—
1371C24—21no—
1372#41—22no—
1373#41—22no—
1374#41—41no—
1375#41—41no—
1376#41—41no—
1377#41—41no—
1378#41—41no—
1379#41—41no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—82no—
1385C2×Q8—21no—
1386C2×Q8—21no—
1387C2×Q8—21no—
1388C2×Q8—21no—
1389C2×Q8—41no—
1390C2×Q8—41no—
1391C2×Q8—82no—
1392C2×Q8C2×D4×C3711yescharacteristic
1393C2×Q8C24×C3711yescharacteristic
1394C2×Q8C24×C3711yescharacteristic
1395C2×Q8C24×C3711yescharacteristic
1396C2×Q8C24×C3711yescharacteristic
1397C2×Q8C24×C3711yescharacteristic
1398C2×D4—22no—
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×D4C2×D4×C3711yescharacteristic
1420C2×D4C2×D4×C3711yescharacteristic
1421C2×D4C2×D4×C3711yescharacteristic
1422C2×D4C24×C3711yescharacteristic
1423C2×D4C24×C3711yescharacteristic
1424C2×D4C24×C3711yescharacteristic
1425C2×D4C24×C3711yescharacteristic
1426C2×D4C24×C3711yescharacteristic
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
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×C4—82no—
1447C22×C4C2×D4×C3711yescharacteristic
1448C22×C4C2×D4×C3711yescharacteristic
1449C22×C4C24×C3711yescharacteristic
1450C22×C4C24×C3711yescharacteristic
1451C22×C4C24×C3711yescharacteristic
1452Q16—41no—
1453Q16—41no—
1454Q16—41no—
1455Q16—41no—
1456Q16—41no—
1457Q16—41no—
1458SD16—22no—
1459SD16—22no—
1460SD16—22no—
1461SD16—41no—
1462SD16—41no—
1463SD16—41no—
1464SD16—41no—
1465SD16—41no—
1466SD16—41no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470D8—22no—
1471D8—22no—
1472D8—22no—
1473D8—41no—
1474D8—41no—
1475D8—41no—
1476M16—41no—
1477M16—41no—
1478M16—41no—
1479M16—41no—
1480C2×C8—41no—
1481C2×C8—41no—
1482C2×C8C24×C3711yescharacteristic
1483C2×C8C24×C3711yescharacteristic
1484C2×C8C24×C3711yescharacteristic
1485C2×C8C24×C3711yescharacteristic
1486C2×C8C24×C3711yescharacteristic
1487C2×C8C24×C3711yescharacteristic
1488C2×C8C24×C3711yescharacteristic
1489C2×C8C24×C3711yescharacteristic
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⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
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⋊C4C2×D4×C3711yescharacteristic
1526C4⋊C4C2×D4×C3711yescharacteristic
1527C4⋊C4C2×D4×C3711yescharacteristic
1528C4⋊C4C24×C3711yescharacteristic
1529C4⋊C4C24×C3711yescharacteristic
1530C4⋊C4C24×C3711yescharacteristic
1531C4⋊C4C24×C3711yescharacteristic
1532C4⋊C4C24×C3711yescharacteristic
1533C4⋊C4C24×C3711yescharacteristic
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⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
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
1576C22⋊C4C2×D4×C3711yescharacteristic
1577C22⋊C4C2×D4×C3711yescharacteristic
1578C22⋊C4C2×D4×C3711yescharacteristic
1579C42—21no—
1580C42—21no—
1581C42—21no—
1582C42—21no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42C2×D4×C3711yescharacteristic
1587C42C2×D4×C3711yescharacteristic
1588C42C24×C3711yescharacteristic
1589C42C24×C3711yescharacteristic
1590C42C24×C3711yescharacteristic
1591C42C24×C3711yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—42no—
1599C23—81no—
1600C23—81no—
1601C23—81no—
1602C23—81no—
1603C23C22×D4×C3711yescharacteristic
1604C23C22×D4×C3711yescharacteristic
1605C23C22×D4×C3711yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—21no—
1609Q8—21no—
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—41no—
1617Q8—42no—
1618Q8—81no—
1619Q8—81no—
1620Q8—81no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—41no—
1631D4—41no—
1632D4—41no—
1633D4—42no—
1634D4—42no—
1635D4—42no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4H(5,𝔽2)×C3712yes—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
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—41no—
1669C2×C4—41no—
1670C2×C4—42no—
1671C2×C4—42no—
1672C2×C4—42no—
1673C2×C4—42no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
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×C4C22×D4×C3711yescharacteristic
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×C4C25×C3711yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—21no—
1707C8—21no—
1708C8—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—22no—
1713C22—21no—
1714C22—21no—
1715C22—21no—
1716C22—21no—
1717C22—21no—
1718C22—21no—
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—84no—
1734C22—162no—
1735C22C23×D4×C3711yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—21no—
1745C4—21no—
1746C4—21no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4C2×H(5,𝔽2)×C3711yescharacteristic
1759C4C37×#58511yescharacteristic
1760C2—41no—
1761C2—41no—
1762C2—41no—
1763C2—42no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2C37×#348811yescharacteristic
1769C2C37×#358511yescharacteristic
1770C2C37×#358611yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C37×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3562C2semidirect
2. C37×#3520C2semidirect
3. C37×#3402C2semidirect
4. C37×#3401C2semidirect
5. C37×#3373C2semidirect
6. C37×#3367C2semidirect
7. C37×#3333C2semidirect
8. C37×#3331C2semidirect
9. C37×#3316C2semidirect
10. C37×#3314C2semidirect
11. C37×#3308C2semidirect
12. C37×#3306C2semidirect
13. C37×#3275C2semidirect
14. C37×#3273C2semidirect
15. C37×#3269C2semidirect
16. C37×#3268C2semidirect
17. C37×#3267C2semidirect
18. C37×#3267C2semidirect
19. C37×#3258C2semidirect
20. C37×#3257C2semidirect
21. C37×#3252C2semidirect
22. C37×#3225C2semidirect
23. C37×#3224C2semidirect
24. C37×#3216C2semidirect
25. C37×#3120C2semidirect
26. C37×#3119C2semidirect
27. C37×#3114C2semidirect
28. C37×#3046C2semidirect
29. C37×#3045C2semidirect
30. C37×#3036C2semidirect
31. C37×#2995C2semidirect
32. C2×#137×C37C22semidirect
35. C2×AGL(1,ℤ/8)×C37C22semidirect
40. C37×#559C22semidirect
41. C37×#556C22semidirect
42. C37×#556C22semidirect
44. C37×#554C22semidirect
51. D4×Q8×C37C22semidirect
54. C37×#548C22semidirect
60. C37×#546C22semidirect
61. C37×#546C22semidirect
63. C37×#542C22semidirect
64. C37×#541C22semidirect
66. C37×#540C22semidirect
72. C37×#536C22semidirect
73. C37×#535C22semidirect
74. C37×#533C22semidirect
81. C37×#520C22semidirect
82. C2×C4×D4×C37C22semidirect
83. C37×#497C22semidirect
84. C37×#497C22semidirect
85. C37×#497C22semidirect
89. C37×#489C22semidirect
90. C37×#489C22semidirect
91. C37×#489C22semidirect
92. C37×#489C22semidirect
93. C37×#487C22semidirect
94. C37×#486C22semidirect
95. C37×#484C22semidirect
96. C37×#483C22semidirect
97. C37×#483C22semidirect
98. C37×#481C22semidirect
100. C37×#480C22semidirect
101. C37×#479C22semidirect
102. C37×#479C22semidirect
103. C37×#478C22semidirect
104. C37×#478C22semidirect
105. C37×#477C22semidirect
106. C37×#477C22semidirect
107. C37×#476C22semidirect
108. C37×#476C22semidirect
109. C37×#475C22semidirect
110. C37×#474C22semidirect
111. C37×#470C22semidirect
112. C37×#470C22semidirect
113. C37×#470C22semidirect
118. C37×#468C22semidirect
119. C37×#467C22semidirect
120. C37×#466C22semidirect
122. C37×#465C22semidirect
123. C37×#464C22semidirect
124. C37×#464C22semidirect
125. C37×#464C22semidirect
126. C37×#464C22semidirect
127. C37×#464C22semidirect
128. C37×#464C22semidirect
136. C37×#463C22semidirect
137. C37×#463C22semidirect
138. C37×#463C22semidirect
139. C37×#462C22semidirect
140. C37×#462C22semidirect
141. C37×#462C22semidirect
142. C37×#462C22semidirect
143. C37×#461C22semidirect
144. C37×#461C22semidirect
145. C37×#461C22semidirect
146. C37×#461C22semidirect
147. C37×#460C22semidirect
148. C37×#460C22semidirect
149. C37×#460C22semidirect
157. C37×#452C22semidirect
158. C37×#452C22semidirect
159. C37×#452C22semidirect
160. C37×#452C22semidirect
161. C37×#451C22semidirect
162. C37×#450C22semidirect
163. C37×#450C22semidirect
167. C37×#449C22semidirect
168. C37×#448C22semidirect
171. C37×#446C22semidirect
172. C37×#446C22semidirect
175. C37×#442C22semidirect
176. C37×#441C22semidirect
177. C37×#440C22semidirect
178. C37×#440C22semidirect
179. C37×#440C22semidirect
180. C37×#440C22semidirect
181. C4×Q16×C37C22semidirect
182. C4×SD16×C37C22semidirect
183. C4×SD16×C37C22semidirect
186. C37×#436C22semidirect
188. C37×#435C22semidirect
189. C37×#435C22semidirect
190. C37×#435C22semidirect
191. C37×#433C22semidirect
192. C37×#433C22semidirect
193. C37×#432C22semidirect
194. C37×#424C22semidirect
195. C37×#424C22semidirect
196. C37×#423C22semidirect
198. C37×#417C22semidirect
199. C37×#417C22semidirect
200. C37×#417C22semidirect
201. C2×#103×C37C22semidirect
202. C2×#102×C37C22semidirect
823. #62076C37direct (N × H)
875. #3562C2×C37semidirect
876. #3520C2×C37semidirect
877. #3402C2×C37semidirect
878. #3401C2×C37semidirect
879. #3373C2×C37semidirect
880. #3367C2×C37semidirect
881. #3333C2×C37semidirect
882. #3331C2×C37semidirect
883. #3316C2×C37semidirect
884. #3314C2×C37semidirect
885. #3308C2×C37semidirect
886. #3306C2×C37semidirect
887. #3275C2×C37semidirect
888. #3273C2×C37semidirect
889. #3269C2×C37semidirect
890. #3268C2×C37semidirect
891. #3267C2×C37semidirect
892. #3267C2×C37semidirect
893. #3258C2×C37semidirect
894. #3257C2×C37semidirect
895. #3252C2×C37semidirect
896. #3225C2×C37semidirect
897. #3224C2×C37semidirect
898. #3216C2×C37semidirect
899. #3120C2×C37semidirect
900. #3119C2×C37semidirect
901. #3114C2×C37semidirect
902. #3046C2×C37semidirect
903. #3045C2×C37semidirect
904. #3036C2×C37semidirect
905. #2995C2×C37semidirect
917. C2×#137C22×C37semidirect
920. C2×AGL(1,ℤ/8)C22×C37semidirect
925. #559C22×C37semidirect
926. #556C22×C37semidirect
927. #556C22×C37semidirect
929. #554C22×C37semidirect
936. D4×Q8C22×C37semidirect
939. #548C22×C37semidirect
945. #546C22×C37semidirect
946. #546C22×C37semidirect
948. #542C22×C37semidirect
949. #541C22×C37semidirect
951. #540C22×C37semidirect
957. #536C22×C37semidirect
958. #535C22×C37semidirect
959. #533C22×C37semidirect
966. #520C22×C37semidirect
967. C2×C4×D4C22×C37semidirect
968. #497C22×C37semidirect
969. #497C22×C37semidirect
970. #497C22×C37semidirect
974. #489C22×C37semidirect
975. #489C22×C37semidirect
976. #489C22×C37semidirect
977. #489C22×C37semidirect
978. #487C22×C37semidirect
979. #486C22×C37semidirect
980. #484C22×C37semidirect
981. #483C22×C37semidirect
982. #483C22×C37semidirect
983. #481C22×C37semidirect
985. #480C22×C37semidirect
986. #479C22×C37semidirect
987. #479C22×C37semidirect
988. #478C22×C37semidirect
989. #478C22×C37semidirect
990. #477C22×C37semidirect
991. #477C22×C37semidirect
992. #476C22×C37semidirect
993. #476C22×C37semidirect
994. #475C22×C37semidirect
995. #474C22×C37semidirect
996. #470C22×C37semidirect
997. #470C22×C37semidirect
998. #470C22×C37semidirect
1003. #468C22×C37semidirect
1004. #467C22×C37semidirect
1005. #466C22×C37semidirect
1007. #465C22×C37semidirect
1008. #464C22×C37semidirect
1009. #464C22×C37semidirect
1010. #464C22×C37semidirect
1011. #464C22×C37semidirect
1012. #464C22×C37semidirect
1013. #464C22×C37semidirect
1021. #463C22×C37semidirect
1022. #463C22×C37semidirect
1023. #463C22×C37semidirect
1024. #462C22×C37semidirect
1025. #462C22×C37semidirect
1026. #462C22×C37semidirect
1027. #462C22×C37semidirect
1028. #461C22×C37semidirect
1029. #461C22×C37semidirect
1030. #461C22×C37semidirect
1031. #461C22×C37semidirect
1032. #460C22×C37semidirect
1033. #460C22×C37semidirect
1034. #460C22×C37semidirect
1042. #452C22×C37semidirect
1043. #452C22×C37semidirect
1044. #452C22×C37semidirect
1045. #452C22×C37semidirect
1046. #451C22×C37semidirect
1047. #450C22×C37semidirect
1048. #450C22×C37semidirect
1052. #449C22×C37semidirect
1053. #448C22×C37semidirect
1056. #446C22×C37semidirect
1057. #446C22×C37semidirect
1060. #442C22×C37semidirect
1061. #441C22×C37semidirect
1062. #440C22×C37semidirect
1063. #440C22×C37semidirect
1064. #440C22×C37semidirect
1065. #440C22×C37semidirect
1066. C4×Q16C22×C37semidirect
1067. C4×SD16C22×C37semidirect
1068. C4×SD16C22×C37semidirect
1071. #436C22×C37semidirect
1073. #435C22×C37semidirect
1074. #435C22×C37semidirect
1075. #435C22×C37semidirect
1076. #433C22×C37semidirect
1077. #433C22×C37semidirect
1078. #432C22×C37semidirect
1079. #424C22×C37semidirect
1080. #424C22×C37semidirect
1081. #423C22×C37semidirect
1083. #417C22×C37semidirect
1084. #417C22×C37semidirect
1085. #417C22×C37semidirect
1086. C2×#103C22×C37semidirect
1087. C2×#102C22×C37semidirect
1088. C37#62076direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35622
C37×#35202
C37×#34022
C37×#34012
C37×#33732
C37×#33672
C37×#33332
C37×#33312
C37×#33162
C37×#33142
C37×#33082
C37×#33062
C37×#32752
C37×#32732
C37×#32692
C37×#32682
C37×#32672
C37×#32582
C37×#32572
C37×#32522
C37×#32252
C37×#32242
C37×#32162
C37×#31202
C37×#31192
C37×#31142
C37×#30462
C37×#30452
C37×#30362
C37×#29952
#6207637