Finite Group Databasebeta

← #33969104

Subgroups — #33969104

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624042C211yesmaximal, characteristic, complemented
2#22623953C211yesmaximal, characteristic, complemented
3#22622971C211yesmaximal, characteristic, complemented
4#22622872C211yesmaximal, characteristic, complemented
5#22622685C211yesmaximal, characteristic, complemented
6#22622661C211yesmaximal, characteristic, complemented
7#22622496C211yesmaximal, characteristic, complemented
8#22622427C211yesmaximal, characteristic, complemented
9#22622427C211yesmaximal, characteristic, complemented
10#22622180C211yesmaximal, characteristic, complemented
11#22622169C211yesmaximal, characteristic, complemented
12#22622118C211yesmaximal, characteristic, complemented
13#22622073C211yesmaximal, characteristic, complemented
14#22621957C211yesmaximal, characteristic, complemented
15#22621942C211yesmaximal, characteristic, complemented
16#22621552C211yesmaximal, characteristic, complemented
17#22621426C211yesmaximal, characteristic, complemented
18#22621426C211yesmaximal, characteristic, complemented
19#22620610C211yesmaximal, characteristic, complemented
20#22620581C211yesmaximal, characteristic, complemented
21#22620522C211yesmaximal, characteristic, complemented
22#22620222C211yesmaximal, characteristic, complemented
23#22620174C211yesmaximal, characteristic, complemented
24#22620128C211yesmaximal, characteristic, complemented
25#22620119C211yesmaximal, characteristic, complemented
26#22620080C211yesmaximal, characteristic, complemented
27#22620073C211yesmaximal, characteristic, complemented
28#22618912C211yesmaximal, characteristic, complemented
29#22618758C211yesmaximal, characteristic, complemented
30C4×#14556618C211yesmaximal, characteristic, complemented
31C73×#2949C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34#17989322—21no—
35#17989322C2211yescharacteristic, complemented
36#17989313C2211yescharacteristic, complemented
37#17989300—21no—
38#17989300C2211yescharacteristic
39#17989300C2211yescharacteristic, complemented
40#17989296C2211yescharacteristic
41#17989287C2211yescharacteristic
42#17989286—21no—
43#17989281—21no—
44#17989281C2211yescharacteristic
45#17989281C2211yescharacteristic, complemented
46#17989278—21no—
47#17989278C2211yescharacteristic, complemented
48#17989259C2211yescharacteristic, complemented
49#17989258C2211yescharacteristic
50#17989248C2211yescharacteristic, complemented
51#17989248C2211yescharacteristic, complemented
52#17989233—21no—
53#17989227—21no—
54#17989227—21no—
55D4×D292C2211yescharacteristic
56D4×C22⋊D73C2211yescharacteristic
57D4×C22⋊D73C2211yescharacteristic
58#17989209—21no—
59#17989209C2211yescharacteristic, complemented
60#17989192—21no—
61#17989192C2211yescharacteristic
62#17989192C2211yescharacteristic, complemented
63#17989188C2211yescharacteristic
64#17989175—21no—
65#17989170—21no—
66#17989134C2211yescharacteristic
67#17989124—21no—
68#17989124C2211yescharacteristic, complemented
69#17989115—21no—
70#17989115C2211yescharacteristic
71#17989096—21no—
72C2×#14556564—21no—
73#17989069C2211yescharacteristic, complemented
74#17989059C2211yescharacteristic
75C4×#11924029C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic
77#17988994C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988989C2211yescharacteristic, complemented
80#17988973C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988964C2211yescharacteristic, complemented
83#17988952C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988916C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988911C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988904C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic, complemented
100#17988902C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988894C2211yescharacteristic, complemented
103#17988892C2211yescharacteristic, complemented
104#17988890C2211yescharacteristic, complemented
105#17988890C2211yescharacteristic, complemented
106#17988889C2211yescharacteristic
107#17988887C2211yescharacteristic
108#17988887C2211yescharacteristic, complemented
109#17988875C2211yescharacteristic
110#17988870C2211yescharacteristic, complemented
111#17988866C2211yescharacteristic, complemented
112#17988866C2211yescharacteristic, complemented
113#17988841C2211yescharacteristic, complemented
114#17988841C2211yescharacteristic, complemented
115#17988840C2211yescharacteristic, complemented
116#17988840C2211yescharacteristic, complemented
117#17988839C2211yescharacteristic, complemented
118#17988836C2211yescharacteristic, complemented
119#17988830C2211yescharacteristic, complemented
120#17988830C2211yescharacteristic, complemented
121#17988823C2211yescharacteristic, complemented
122#17988823C2211yescharacteristic, complemented
123#17988822C2211yescharacteristic, complemented
124#17988819C2211yescharacteristic, complemented
125#17988805C2211yescharacteristic, complemented
126#17988805C2211yescharacteristic, complemented
127#17988804C2211yescharacteristic
128#17988804C2211yescharacteristic
129#17988787C2211yescharacteristic, complemented
130#17988787C2211yescharacteristic, complemented
131#17988785C2211yescharacteristic, complemented
132#17988785C2211yescharacteristic, complemented
133#17988782C2211yescharacteristic
134#17988782C2211yescharacteristic, complemented
135#17988781C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic, complemented
137#17988736C2211yescharacteristic
138#17988736C2211yescharacteristic
139#17988735C2211yescharacteristic, complemented
140#17988735C2211yescharacteristic, complemented
141#17988731C2211yescharacteristic, complemented
142#17988731C2211yescharacteristic, complemented
143#17988726C2211yescharacteristic, complemented
144#17988726C2211yescharacteristic, complemented
145#17988722C2211yescharacteristic
146#17988722C2211yescharacteristic
147#17988721C2211yescharacteristic
148#17988721C2211yescharacteristic
149#17988717C2211yescharacteristic, complemented
150#17988715C2211yescharacteristic, complemented
151#17988700C2211yescharacteristic, complemented
152#17988700C2211yescharacteristic, complemented
153#17988698C2211yescharacteristic, complemented
154#17988698C2211yescharacteristic, complemented
155#17988697C2211yescharacteristic
156#17988697C2211yescharacteristic, complemented
157#17988696C2211yescharacteristic
158#17988690C2211yescharacteristic, complemented
159#17988688C2211yescharacteristic
160#17988688C2211yescharacteristic
161#17988685C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163C4×#11924015C2211yescharacteristic, complemented
164C4×#11924015C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic, complemented
166C4×D584C2211yescharacteristic, complemented
167C4×D584C2211yescharacteristic, complemented
168C4×#11924013C2211yescharacteristic
169C4×#11924013C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic
171#17988666C2211yescharacteristic, complemented
172#17988663C2211yescharacteristic, complemented
173#17988660C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175#17988658C2211yescharacteristic, complemented
176#17988656C2211yescharacteristic, complemented
177#17988649C2211yescharacteristic, complemented
178#17988648C2211yescharacteristic, complemented
179#17988642C2211yescharacteristic, complemented
180#17988626C2211yescharacteristic, complemented
181#17988626C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988587C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic
186#17988541C2211yescharacteristic, complemented
187C4×#11924011C2211yescharacteristic, complemented
188C22×SD16×C73C2211yescharacteristic
189#519×C73C2211yescharacteristic, complemented
190#518×C73C2211yescharacteristic
191#440×C73C2211yescharacteristic
192#440×C73C2211yescharacteristic
193#440×C73C2211yescharacteristic, complemented
194#440×C73C2211yescharacteristic, complemented
195C4×SD16×C73C2211yescharacteristic
196C4×SD16×C73C2211yescharacteristic
197C4×SD16×C73C2211yescharacteristic, complemented
198C4×SD16×C73C2211yescharacteristic, complemented
199#427×C73C2211yescharacteristic, complemented
200#419×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic
202#405×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028—21no—
207C22×D292—21no—
208C22×C22⋊D73—21no—
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213#14556618—24no—
214#14556618—24no—
215C2×#11924015C2311yescharacteristic
216C2×#11924015C2311yescharacteristic
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×D584C2311yescharacteristic
220C2×D584C2311yescharacteristic
221C2×D584C2311yescharacteristic
222C2×D584C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231#14556590—21no—
232#14556590C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556588—21no—
235#14556588C2311yescharacteristic
236#14556588C2311yescharacteristic
237#14556587C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556586—21no—
240#14556586D411yescharacteristic
241#14556585—21no—
242#14556585—21no—
243#14556585—21no—
244#14556585—21no—
245#14556584—21no—
246#14556584D411yescharacteristic
247#14556583—21no—
248#14556583C2311yescharacteristic
249#14556583C2311yescharacteristic
250#14556582—21no—
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581D411yescharacteristic
255#14556580—21no—
256#14556580—21no—
257#14556580C2311yescharacteristic
258#14556580C2311yescharacteristic
259#14556579—21no—
260#14556579—21no—
261#14556579—21no—
262#14556579—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577D411yescharacteristic
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556576D411yescharacteristic
277#14556574—21no—
278#14556574—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573D411yescharacteristic
283#14556570—21no—
284#14556569—21no—
285#14556569D411yescharacteristic
286#14556568—21no—
287#14556568—21no—
288#14556567—21no—
289#14556567—21no—
290#14556567C2311yescharacteristic
291#14556567C2311yescharacteristic
292#14556566—21no—
293#14556566—21no—
294#14556566C2311yescharacteristic
295#14556566C2311yescharacteristic
296#14556566C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556565—21no—
299#14556565—21no—
300#14556565—21no—
301#14556565—21no—
302#14556565—21no—
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564D411yescharacteristic
321#14556563—21no—
322#14556563—21no—
323#14556562C2311yescharacteristic
324#14556562C2311yescharacteristic
325#14556561—21no—
326#14556561—21no—
327#14556560—21no—
328#14556560—21no—
329#14556559—21no—
330#14556559—21no—
331Q8×Dic73C2311yescharacteristic
332Q8×Dic73C2311yescharacteristic
333C4×Dic146—21no—
334C4×Dic146C2311yescharacteristic
335C4×D292—21no—
336C4×D292—21no—
337C4×D292—21no—
338C4×D292—21no—
339C4×D292—21no—
340C4×D292—21no—
341C4×D292—21no—
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345C4×D292C2311yescharacteristic
346C4×D292C2311yescharacteristic
347D4×Dic73C2311yescharacteristic
348D4×Dic73C2311yescharacteristic
349#14556553—21no—
350#14556553—21no—
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73C2311yescharacteristic
362C4×C22⋊D73C2311yescharacteristic
363#14556551—21no—
364#14556551—21no—
365#14556549—21no—
366#14556549C2311yescharacteristic
367#14556549C2311yescharacteristic
368#14556548—21no—
369#14556548—21no—
370#14556548—21no—
371#14556548—21no—
372#14556548—21no—
373#14556548C2311yescharacteristic
374C2×#11924007—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73C2311yescharacteristic
377C4⋊C4×D73C2311yescharacteristic
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C42×D73—21no—
382C42×D73C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C22×Q8×C73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C2×SD16×C73—24no—
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×M16×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446C4×Q8×C73—21no—
447C4×Q8×C73—21no—
448C4×Q8×C73C2311yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73—21no—
460#117×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464C2×C22⋊C4×C73—21no—
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—22no—
485#11924029—41no—
486#11924029—41no—
487#11924028—82no—
488#11924028—82no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—82no—
503C2×D292C2×D411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—82no—
521C2×C22⋊D73—82no—
522C2×C22⋊D73C2×D411yescharacteristic
523C2×C22⋊D73C2×D411yescharacteristic
524D4×D73—22no—
525D4×D73—22no—
526D4×D73—41no—
527D4×D73—41no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—82no—
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546C2×C4×D73C2411yescharacteristic
547#11924015—22no—
548#11924015—22no—
549#11924015—41no—
550#11924015—41no—
551D584—22no—
552D584—22no—
553D584—41no—
554D584—41no—
555#11924013—22no—
556#11924013—22no—
557#11924013—41no—
558#11924013—41no—
559#11924011—22no—
560#11924011—22no—
561#11924011—41no—
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C8×D73—41no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73C2×D411yescharacteristic
600C22⋊Dic73C2×D411yescharacteristic
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C24×C73—21no—
640C2×Q8×C73—21no—
641C2×Q8×C73—22no—
642C2×Q8×C73—41no—
643C2×Q8×C73C2411yescharacteristic
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—22no—
646C2×D4×C73—21no—
647C2×D4×C73—41no—
648C2×D4×C73C2411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73C2411yescharacteristic
656SD16×C73—22no—
657SD16×C73—22no—
658SD16×C73—22no—
659SD16×C73#4114yescomplemented
660M16×C73—41no—
661C2×C8×C73—22no—
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2×D411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73C2×D411yescharacteristic
683C22⋊C4×C73C2×D411yescharacteristic
684C42×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73—21no—
689C42×C73—21no—
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—42no—
695C23×C73—81no—
696C23×C73—81no—
697C23×C73C22×D411yescharacteristic
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73C22×D411yescharacteristic
709C22×D73C22×D411yescharacteristic
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713Q8×C73—42no—
714Q8×C73C2×#4112yes—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—42no—
719D4×C73C2×#4112yes—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—42no—
729C2×C4×C73—81no—
730C2×C4×C73—81no—
731C2×C4×C73—81no—
732C2×C4×C73—81no—
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C2511yescharacteristic
739C22⋊D73—41no—
740C22⋊D73—41no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—42no—
758C2×Dic73—81no—
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765D292—21no—
766D292—21no—
767D292—21no—
768D292—21no—
769D292—21no—
770D292—21no—
771D292—21no—
772D292—21no—
773D292—41no—
774D292—42no—
775D292—42no—
776D292—42no—
777D292—81no—
778D292—81no—
779D292—81no—
780D292—81no—
781D292—81no—
782D292—81no—
783D292—81no—
784C4×D73—21no—
785C4×D73—21no—
786C4×D73—21no—
787C4×D73—21no—
788C4×D73—41no—
789C4×D73—41no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802Dic146—41no—
803Dic146—81no—
804Dic146—81no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73C2×#4112yes—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—22no—
816C22×C73—21no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—162no—
823C22×C73C23×D411yescharacteristic
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—84no—
843C2×D73—162no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—22no—
849C4×C73—21no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73C22×#4111yescharacteristic
856C4×C73#58511yescharacteristic
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—21no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—42no—
869C2×C73—41no—
870C2×C73—81no—
871C2×C73D4×#4111yescharacteristic
872C2×C73#358511yescharacteristic
873C2×C73#358511yescharacteristic
874D73—41no—
875D73—41no—
876D73—81no—
877D73—81no—
878D73—81no—
879D73—81no—
880#3524—731no—
881#3519—731no—
882#3399—731no—
883#3388—731no—
884#3370—731no—
885#3368—731no—
886#3351—731no—
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325—731no—
891#3321—731no—
892#3318—731no—
893#3310—731no—
894#3309—731no—
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179—731no—
899#3176—731no—
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967—731no—
908#2949D7311yescharacteristic, complemented
909#2946—731no—
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×SD16C2×D7311yescharacteristic
915#559—731no—
916#559—1461no—
917#557—731no—
918#555—731no—
919#555—731no—
920#555—1461no—
921#554—731no—
922#553—731no—
923#553—731no—
924#553—731no—
925#553—1461no—
926#553—1461no—
927#552—731no—
928#552—1461no—
929#550—731no—
930#550—731no—
931#548—731no—
932#548—731no—
933#546—1461no—
934#546—1461no—
935#546—1461no—
936D42—731no—
937D42—731no—
938D42—731no—
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—731no—
943#540—731no—
944#540—1461no—
945#538—1461no—
946#538—1461no—
947#532—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#525—1461no—
953C2×#121—1461no—
954#520—731no—
955#519C2×D7311yescharacteristic, complemented
956#518—731no—
957#518C2×D7311yescharacteristic
958C4×#41—731no—
959C2×C4×D4—731no—
960#501—731no—
961#501—731no—
962#499—731no—
963#496—731no—
964#496—731no—
965#493—731no—
966#490—731no—
967#490—731no—
968#490—731no—
969#489—731no—
970#488—731no—
971#486—731no—
972#485—731no—
973#483—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#481—731no—
982#480—731no—
983#480—731no—
984#479—731no—
985#479—731no—
986#479—731no—
987#478—731no—
988#478—731no—
989#478—731no—
990#478—731no—
991#478—731no—
992#476—731no—
993#475—731no—
994#474—731no—
995#474—731no—
996#469—731no—
997#469—731no—
998#469—731no—
999#469—731no—
1000#469—731no—
1001#468—731no—
1002#468—731no—
1003#468—731no—
1004#466—731no—
1005#466—731no—
1006#466—731no—
1007#465—731no—
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#450—731no—
1021#450—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#448—731no—
1027#448—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#446—731no—
1033#446—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440C2×D7311yescharacteristic
1047#440C2×D7311yescharacteristic
1048#440C2×D7311yescharacteristic, complemented
1049#440C2×D7311yescharacteristic, complemented
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16C2×D7311yescharacteristic
1054C4×SD16C2×D7311yescharacteristic
1055C4×SD16C2×D7311yescharacteristic, complemented
1056C4×SD16C2×D7311yescharacteristic, complemented
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062#436—731no—
1063#436—731no—
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#433—731no—
1069#433—731no—
1070#432—731no—
1071#428—731no—
1072#428—731no—
1073#427C2×D7311yescharacteristic, complemented
1074#419C2×D7311yescharacteristic, complemented
1075#418—731no—
1076#418C2×D7311yescharacteristic
1077#417—731no—
1078#416—731no—
1079C2×#102—731no—
1080#405—731no—
1081#405C2×D7311yescharacteristic, complemented
1082C4×M16—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C22×Q8C22×D7311yescharacteristic
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—1461no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4C22×D7311yescharacteristic
1094C23×C4—1461no—
1095AGL(1,ℤ/8)—1464no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—24no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16C22×D7311yescharacteristic
1103C2×SD16C22×D7311yescharacteristic
1104C2×SD16C22×D7311yescharacteristic
1105C2×SD16C22×D7311yescharacteristic
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8—731no—
1113C2×D8—731no—
1114C2×M16—731no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16C22×D7311yescharacteristic
1118C22×C8—731no—
1119C22×C8C22×D7311yescharacteristic
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—1461no—
1123#127—731no—
1124#127—731no—
1125#127—731no—
1126#127—731no—
1127#127—1461no—
1128#126—731no—
1129#126—731no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#125—731no—
1137#125—731no—
1138#125—731no—
1139#125—731no—
1140#125—731no—
1141#125—1461no—
1142#125—1461no—
1143#125—1461no—
1144#124—731no—
1145#124—731no—
1146#124—731no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#123—731no—
1157#123—731no—
1158#123—1461no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172C22⋊Q8—731no—
1173C22⋊Q8—731no—
1174C22⋊Q8—731no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181#121—731no—
1182#121—731no—
1183#121—731no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220C4×Q8—21no—
1221C4×Q8—21no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—1461no—
1226C4×Q8C22×D7311yescharacteristic
1227C4×Q8C22×D7311yescharacteristic
1228C4×Q8C22×D7311yescharacteristic
1229C4×Q8C22×D7311yescharacteristic
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4C22×D7311yescharacteristic
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—21no—
1267#117—21no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117C22×D7311yescharacteristic
1278#117C22×D7311yescharacteristic
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—1461no—
1283C2×C4⋊C4—1461no—
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—1461no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107C22×D7311yescharacteristic
1298#107C22×D7311yescharacteristic
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106C22×D7311yescharacteristic
1306#106C22×D7311yescharacteristic
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103C22×D7311yescharacteristic
1318#103C22×D7311yescharacteristic
1319#103C22×D7311yescharacteristic
1320#103C22×D7311yescharacteristic
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8—731no—
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97C22×D7311yescharacteristic
1356#97C22×D7311yescharacteristic
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8C22×D7311yescharacteristic
1360C4×C8C22×D7311yescharacteristic
1361C24—21no—
1362C24—1461no—
1363C24—1461no—
1364#41—2921no—
1365#41—2921no—
1366#41—5842no—
1367#41—5842no—
1368#41—1462no—
1369#41—1462no—
1370C2×Q8—21no—
1371C2×Q8—22no—
1372C2×Q8—41no—
1373C2×Q8—731no—
1374C2×Q8—1461no—
1375C2×Q8—1461no—
1376C2×Q8C23×D7311yescharacteristic
1377C2×Q8C23×D7311yescharacteristic
1378C2×D4—22no—
1379C2×D4—21no—
1380C2×D4—41no—
1381C2×D4—2921no—
1382C2×D4—2921no—
1383C2×D4—5842no—
1384C2×D4—5842no—
1385C2×D4—5842no—
1386C2×D4—731no—
1387C2×D4—731no—
1388C2×D4—731no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1462no—
1407C2×D4—1462no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—5842no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—731no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4C23×D7311yescharacteristic
1444SD16—22no—
1445SD16—22no—
1446SD16—22no—
1447SD16—2921no—
1448SD16—2921no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16#1192402814yescomplemented
1452D8—2921no—
1453D8—2921no—
1454D8—2921no—
1455D8—2921no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—41no—
1461M16—2921no—
1462M16—1462no—
1463M16—1462no—
1464C2×C8—22no—
1465C2×C8—2921no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—731no—
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4D4×D7311yescharacteristic
1507C4⋊C4D4×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C4⋊C4C23×D7311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—731no—
1519C22⋊C4—731no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4D4×D7311yescharacteristic
1555C22⋊C4D4×D7311yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—21no—
1561C42—21no—
1562C42—731no—
1563C42—731no—
1564C42—731no—
1565C42—731no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42C23×D7311yescharacteristic
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—42no—
1575C23—81no—
1576C23—81no—
1577C23—2922no—
1578C23—2922no—
1579C23—2922no—
1580C23—5841no—
1581C23—5841no—
1582C23—5841no—
1583C23—731no—
1584C23—731no—
1585C23—1461no—
1586C23—1461no—
1587C23—1461no—
1588C23—1461no—
1589C23C2×D4×D7311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—42no—
1594Q8—2921no—
1595Q8—5841no—
1596Q8—5841no—
1597Q8C2×#1192402812yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—42no—
1602D4—2922no—
1603D4—2922no—
1604D4—2921no—
1605D4—2922no—
1606D4—2922no—
1607D4—2922no—
1608D4—2922no—
1609D4—2921no—
1610D4—2921no—
1611D4—2922no—
1612D4—5841no—
1613D4—5841no—
1614D4—5841no—
1615D4—5841no—
1616D4—5841no—
1617D4—5841no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—1461no—
1628D4—1461no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4C2×#1192402812yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—42no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2921no—
1652C2×C4—2921no—
1653C2×C4—2922no—
1654C2×C4—2922no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C24×D7311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C8C2×#1192402812yes—
1693C22—21no—
1694C22—22no—
1695C22—21no—
1696C22—21no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—162no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—5844no—
1716C22—11682no—
1717C22—1461no—
1718C22—1461no—
1719C22—1461no—
1720C22—1461no—
1721C22—1461no—
1722C22—1461no—
1723C22C22×D4×D7311yescharacteristic
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—2921no—
1736C4—2921no—
1737C4—2921no—
1738C4—2921no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4C22×#1192402811yescharacteristic
1746C4#1798942311yescharacteristic
1747C2—41no—
1748C2—42no—
1749C2—81no—
1750C2—2921no—
1751C2—2921no—
1752C2—5841no—
1753C2—5841no—
1754C2—5841no—
1755C2—5841no—
1756C2D4×#1192402811yescharacteristic
1757C2#2262470911yescharacteristic
1758C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2949C2
socleC22×C73C23×D4
hypercenter#2949D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #2949

Complements

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

NH ≅ G/Ntype
1. #22624042C2semidirect
2. #22623953C2semidirect
3. #22622971C2semidirect
4. #22622872C2semidirect
5. #22622685C2semidirect
6. #22622661C2semidirect
7. #22622496C2semidirect
8. #22622427C2semidirect
9. #22622427C2semidirect
10. #22622180C2semidirect
11. #22622169C2semidirect
12. #22622118C2semidirect
13. #22622073C2semidirect
14. #22621957C2semidirect
15. #22621942C2semidirect
16. #22621552C2semidirect
17. #22621426C2semidirect
18. #22621426C2semidirect
19. #22620610C2semidirect
20. #22620581C2semidirect
21. #22620522C2semidirect
22. #22620222C2semidirect
23. #22620174C2semidirect
24. #22620128C2semidirect
25. #22620119C2semidirect
26. #22620080C2semidirect
27. #22620073C2semidirect
28. #22618912C2semidirect
29. #22618758C2semidirect
30. C4×#14556618C2semidirect
31. C73×#2949C2semidirect
35. #17989322C22semidirect
36. #17989313C22semidirect
39. #17989300C22semidirect
45. #17989281C22semidirect
47. #17989278C22semidirect
48. #17989259C22semidirect
50. #17989248C22semidirect
51. #17989248C22semidirect
59. #17989209C22semidirect
62. #17989192C22semidirect
68. #17989124C22semidirect
73. #17989069C22semidirect
75. C4×#11924029C22semidirect
77. #17988994C22semidirect
78. #17988994C22semidirect
79. #17988989C22semidirect
80. #17988973C22semidirect
81. #17988973C22semidirect
82. #17988964C22semidirect
83. #17988952C22semidirect
84. #17988952C22semidirect
85. #17988950C22semidirect
86. #17988948C22semidirect
87. #17988943C22semidirect
88. #17988932C22semidirect
89. #17988926C22semidirect
90. #17988916C22semidirect
91. #17988914C22semidirect
92. #17988914C22semidirect
93. #17988911C22semidirect
94. #17988911C22semidirect
95. #17988911C22semidirect
96. #17988911C22semidirect
97. #17988910C22semidirect
98. #17988904C22semidirect
99. #17988902C22semidirect
100. #17988902C22semidirect
101. #17988894C22semidirect
102. #17988894C22semidirect
103. #17988892C22semidirect
104. #17988890C22semidirect
105. #17988890C22semidirect
108. #17988887C22semidirect
110. #17988870C22semidirect
111. #17988866C22semidirect
112. #17988866C22semidirect
113. #17988841C22semidirect
114. #17988841C22semidirect
115. #17988840C22semidirect
116. #17988840C22semidirect
117. #17988839C22semidirect
118. #17988836C22semidirect
119. #17988830C22semidirect
120. #17988830C22semidirect
121. #17988823C22semidirect
122. #17988823C22semidirect
123. #17988822C22semidirect
124. #17988819C22semidirect
125. #17988805C22semidirect
126. #17988805C22semidirect
129. #17988787C22semidirect
130. #17988787C22semidirect
131. #17988785C22semidirect
132. #17988785C22semidirect
134. #17988782C22semidirect
135. #17988781C22semidirect
136. #17988781C22semidirect
139. #17988735C22semidirect
140. #17988735C22semidirect
141. #17988731C22semidirect
142. #17988731C22semidirect
143. #17988726C22semidirect
144. #17988726C22semidirect
149. #17988717C22semidirect
150. #17988715C22semidirect
151. #17988700C22semidirect
152. #17988700C22semidirect
153. #17988698C22semidirect
154. #17988698C22semidirect
156. #17988697C22semidirect
158. #17988690C22semidirect
161. #17988685C22semidirect
162. #17988685C22semidirect
163. C4×#11924015C22semidirect
164. C4×#11924015C22semidirect
165. #17988672C22semidirect
166. C4×D584C22semidirect
167. C4×D584C22semidirect
169. C4×#11924013C22semidirect
171. #17988666C22semidirect
172. #17988663C22semidirect
173. #17988660C22semidirect
174. #17988658C22semidirect
175. #17988658C22semidirect
176. #17988656C22semidirect
177. #17988649C22semidirect
178. #17988648C22semidirect
179. #17988642C22semidirect
180. #17988626C22semidirect
181. #17988626C22semidirect
183. #17988587C22semidirect
184. #17988582C22semidirect
186. #17988541C22semidirect
187. C4×#11924011C22semidirect
189. #519×C73C22semidirect
193. #440×C73C22semidirect
194. #440×C73C22semidirect
197. C4×SD16×C73C22semidirect
198. C4×SD16×C73C22semidirect
199. #427×C73C22semidirect
200. #419×C73C22semidirect
202. #405×C73C22semidirect
659. SD16×C73#41semidirect
908. #2949D73semidirect
911. C73#61504semidirect
955. #519C2×D73semidirect
1048. #440C2×D73semidirect
1049. #440C2×D73semidirect
1055. C4×SD16C2×D73semidirect
1056. C4×SD16C2×D73semidirect
1073. #427C2×D73semidirect
1074. #419C2×D73semidirect
1081. #405C2×D73semidirect
1451. SD16#11924028semidirect

Maximal subgroups

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

subgroupindex
#226240422
#226239532
#226229712
#226228722
#226226852
#226226612
#226224962
#226224272
#226221802
#226221692
#226221182
#226220732
#226219572
#226219422
#226215522
#226214262
#226206102
#226205812
#226205222
#226202222
#226201742
#226201282
#226201192
#226200802
#226200732
#226189122
#226187582
C4×#145566182
C73×#29492
#6150473