Finite Group Databasebeta

← #33972027

Subgroups — #33972027

Order 18688.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624192C211yesmaximal, characteristic, complemented
2#22623599C211yesmaximal, characteristic, complemented
3#22622196C211yesmaximal, characteristic, complemented
4#22622185C211yesmaximal, characteristic, complemented
5#22622070C211yesmaximal, characteristic, complemented
6#22621951C211yesmaximal, characteristic, complemented
7#22621933C211yesmaximal, characteristic, complemented
8#22621784C211yesmaximal, characteristic, complemented
9#22621760C211yesmaximal, characteristic, complemented
10#22621687C211yesmaximal, characteristic, complemented
11#22621654C211yesmaximal, characteristic, complemented
12#22621546C211yesmaximal, characteristic, complemented
13#22621528C211yesmaximal, characteristic, complemented
14#22621518C211yesmaximal, characteristic, complemented
15#22621479C211yesmaximal, characteristic, complemented
16#22621476C211yesmaximal, characteristic, complemented
17#22621453C211yesmaximal, characteristic, complemented
18#22621002C211yesmaximal, characteristic, complemented
19#22620982C211yesmaximal, characteristic, complemented
20#22620844C211yesmaximal, characteristic, complemented
21#22620829C211yesmaximal, characteristic, complemented
22#22620749C211yesmaximal, characteristic, complemented
23#22620697C211yesmaximal, characteristic, complemented
24#22620143C211yesmaximal, characteristic, complemented
25#22620137C211yesmaximal, characteristic, complemented
26#22619239C211yesmaximal, characteristic, complemented
27#22619237C211yesmaximal, characteristic, complemented
28#22619174C211yesmaximal, characteristic, complemented
29#22619151C211yesmaximal, characteristic, complemented
30#22618980C211yesmaximal, characteristic, complemented
31C73×#3317C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556619C2211yescharacteristic, complemented
36C2×#14556618C2211yescharacteristic, complemented
37C2×#14556618C2211yescharacteristic, complemented
38C2×#14556614C2211yescharacteristic, complemented
39C2×#14556613C2211yescharacteristic, complemented
40C2×#14556611C2211yescharacteristic, complemented
41C2×#14556611C2211yescharacteristic, complemented
42#17989328—21no—
43#17989327—21no—
44#17989290—21no—
45#17989285C2211yescharacteristic, complemented
46#17989281—21no—
47#17989281C2211yescharacteristic, complemented
48#17989275C2211yescharacteristic, complemented
49#17989259C2211yescharacteristic, complemented
50#17989258C2211yescharacteristic, complemented
51#17989256C2211yescharacteristic
52#17989249C2211yescharacteristic
53#17989244C2211yescharacteristic
54#17989239C2211yescharacteristic, complemented
55#17989239C2211yescharacteristic, complemented
56#17989234—21no—
57#17989234C2211yescharacteristic
58#17989233—21no—
59#17989233C2211yescharacteristic
60#17989222—21no—
61#17989222C2211yescharacteristic
62#17989221—21no—
63#17989221C2211yescharacteristic
64#17989195C2211yescharacteristic, complemented
65#17989193C2211yescharacteristic, complemented
66#17989192—21no—
67#17989189—21no—
68#17989185—21no—
69#17989178—21no—
70#17989168C2211yescharacteristic, complemented
71#17989167C2211yescharacteristic, complemented
72#17989166—21no—
73#17989166C2211yescharacteristic
74#17989150—21no—
75#17989150C2211yescharacteristic
76#17989100C2211yescharacteristic, complemented
77#17989099C2211yescharacteristic, complemented
78#17989096—21no—
79#17989096C2211yescharacteristic
80#121×D73—21no—
81#121×D73C2211yescharacteristic
82#17989069C2211yescharacteristic
83#17988978C2211yescharacteristic, complemented
84#17988976C2211yescharacteristic, complemented
85#17988963C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988944C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988917C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988896C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988846C2211yescharacteristic, complemented
104#17988841C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic, complemented
107#17988834C2211yescharacteristic, complemented
108#17988833C2211yescharacteristic, complemented
109#17988832C2211yescharacteristic, complemented
110#17988826C2211yescharacteristic, complemented
111#17988823C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988818C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988801C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic, complemented
121#17988795C2211yescharacteristic, complemented
122#17988791C2211yescharacteristic, complemented
123#17988787C2211yescharacteristic, complemented
124#17988784C2211yescharacteristic, complemented
125#17988783C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic
129#17988752C2211yescharacteristic, complemented
130#17988752C2211yescharacteristic, complemented
131#17988751C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic, complemented
133#17988748C2211yescharacteristic
134#17988747C2211yescharacteristic, complemented
135#17988746C2211yescharacteristic, complemented
136#17988744C2211yescharacteristic, complemented
137#17988739C2211yescharacteristic, complemented
138#17988739C2211yescharacteristic, complemented
139#17988739C2211yescharacteristic, complemented
140#17988737C2211yescharacteristic, complemented
141#17988736C2211yescharacteristic, complemented
142#17988735C2211yescharacteristic
143#17988735C2211yescharacteristic
144#17988735C2211yescharacteristic, complemented
145#17988735C2211yescharacteristic, complemented
146#17988734C2211yescharacteristic, complemented
147#17988734C2211yescharacteristic, complemented
148#17988733C2211yescharacteristic, complemented
149#17988733C2211yescharacteristic, complemented
150#17988732C2211yescharacteristic, complemented
151#17988732C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988731C2211yescharacteristic, complemented
154#17988730C2211yescharacteristic, complemented
155#17988730C2211yescharacteristic, complemented
156#17988727C2211yescharacteristic, complemented
157#17988723C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic, complemented
159#17988722C2211yescharacteristic, complemented
160#17988722C2211yescharacteristic, complemented
161#17988722C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic, complemented
163#17988690C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165C4×#11924018C2211yescharacteristic, complemented
166C4×#11924015C2211yescharacteristic, complemented
167#17988672C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic, complemented
169#17988664C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174D4×#10596831C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988649C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988594C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988587C2211yescharacteristic, complemented
181#17988581C2211yescharacteristic, complemented
182C2×#14556511C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187C2×#14556503C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924028—21no—
210C2×#11924028—21no—
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924027—21no—
216C2×#11924027C2311yescharacteristic
217#41×D73—42no—
218#41×D73—42no—
219C2×Q8×D73C2311yescharacteristic
220C22×D292—21no—
221C22×D292C2311yescharacteristic
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C22×C4×D73—21no—
232C22×C4×D73C2311yescharacteristic
233#14556623—42no—
234#14556619—42no—
235#14556618—42no—
236#14556618—42no—
237#14556614—42no—
238#14556613—42no—
239#14556611—42no—
240#14556611—42no—
241C2×Dic292C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924018C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252C2×#11924015C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254C2×D584C2311yescharacteristic
255C2×D584C2311yescharacteristic
256C2×D584C2311yescharacteristic
257C2×D584C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924011C2311yescharacteristic
263C2×#11924011C2311yescharacteristic
264C2×#11924011C2311yescharacteristic
265C22×#10596831C2311yescharacteristic
266C22×#10596831C2311yescharacteristic
267C2×C8×D73C2311yescharacteristic
268#14556589C2311yescharacteristic
269#14556588—21no—
270#14556588C2311yescharacteristic
271#14556587—21no—
272#14556587—21no—
273#14556587C2311yescharacteristic
274#14556586—21no—
275#14556586—21no—
276#14556586—21no—
277#14556585—21no—
278#14556585—21no—
279#14556583—21no—
280#14556582—21no—
281#14556582C2311yescharacteristic
282#14556581—21no—
283#14556579—21no—
284#14556579C2311yescharacteristic
285#14556578—21no—
286#14556578C2311yescharacteristic
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556576D411yescharacteristic
296#14556575—21no—
297#14556573—21no—
298#14556573—21no—
299#14556573—21no—
300#14556573—21no—
301#14556573D411yescharacteristic
302#14556571—21no—
303#14556571—21no—
304#14556571C2311yescharacteristic
305#14556571C2311yescharacteristic
306#14556571C2311yescharacteristic
307#14556571C2311yescharacteristic
308#14556570—21no—
309#14556570C2311yescharacteristic
310#14556569—21no—
311#14556569D411yescharacteristic
312#14556568—21no—
313#14556568D411yescharacteristic
314#14556567C2311yescharacteristic
315#14556566—21no—
316#14556566—21no—
317#14556566—21no—
318#14556566—21no—
319#14556566—21no—
320#14556566—21no—
321#14556566—21no—
322#14556566C2311yescharacteristic
323#14556566C2311yescharacteristic
324#14556566C2311yescharacteristic
325#14556566C2311yescharacteristic
326#14556566C2311yescharacteristic
327#14556565—21no—
328#14556565—21no—
329#14556565—21no—
330#14556565—21no—
331#14556565C2311yescharacteristic
332#14556565C2311yescharacteristic
333#14556565C2311yescharacteristic
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556564—21no—
341#14556564—21no—
342#14556564—21no—
343#14556564—21no—
344#14556564—21no—
345#14556564D411yescharacteristic
346#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556563—21no—
350#14556563D411yescharacteristic
351#14556562—21no—
352#14556562—21no—
353#14556562—21no—
354#14556562—21no—
355#14556562—21no—
356#14556562C2311yescharacteristic
357#14556562C2311yescharacteristic
358#14556561—21no—
359#14556561—21no—
360#14556561—21no—
361#14556561D411yescharacteristic
362#14556559—21no—
363#14556559—21no—
364#14556559—21no—
365#14556559—21no—
366#14556559—21no—
367#14556559—21no—
368#14556559—21no—
369#14556559D411yescharacteristic
370Q8×Dic73C2311yescharacteristic
371C4×Dic146C2311yescharacteristic
372C4×D292—21no—
373C4×D292—21no—
374C4×D292—21no—
375C4×D292—21no—
376C4×D292—21no—
377C4×D292—21no—
378C4×D292C2311yescharacteristic
379C4×D292C2311yescharacteristic
380#14556553—21no—
381#14556553—21no—
382#14556553—21no—
383#14556553C2311yescharacteristic
384#14556553C2311yescharacteristic
385#14556553C2311yescharacteristic
386C4×C22⋊D73—21no—
387C4×C22⋊D73—21no—
388C4×C22⋊D73—21no—
389C4×C22⋊D73C2311yescharacteristic
390C4×C22⋊D73C2311yescharacteristic
391#14556551—21no—
392#14556549—21no—
393#14556549C2311yescharacteristic
394#14556548—21no—
395#14556548C2311yescharacteristic
396C4⋊C4×D73—21no—
397C4⋊C4×D73—21no—
398C4⋊C4×D73—21no—
399C4⋊C4×D73C2311yescharacteristic
400C4⋊C4×D73C2311yescharacteristic
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403C22⋊C4×D73—21no—
404#14556525C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556501C2311yescharacteristic
445C4×#10596831C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454#127×C73—21no—
455#127×C73C2311yescharacteristic
456#126×C73—21no—
457#125×C73—21no—
458#125×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466C4×Q8×C73C2311yescharacteristic
467C4×Q8×C73C2311yescharacteristic
468C4×D4×C73—21no—
469C4×D4×C73C2311yescharacteristic
470#117×C73—21no—
471#117×C73C2311yescharacteristic
472C2×C4⋊C4×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474#106×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73C2×D411yescharacteristic
495#11924029—22no—
496#11924029—22no—
497#11924029—22no—
498#11924029—41no—
499#11924029—41no—
500#11924029—41no—
501#11924029—41no—
502#11924029—41no—
503#11924028—22no—
504#11924028—41no—
505#11924028—41no—
506#11924028—41no—
507#11924028—41no—
508#11924028—41no—
509#11924028—41no—
510#11924028—41no—
511#11924028—44no—
512#11924028—44no—
513#11924027—41no—
514#11924027—41no—
515#11924027—44no—
516C2×Dic146—21no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520Q8×D73—22no—
521Q8×D73—41no—
522C2×D292—21no—
523C2×D292—22no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292—41no—
536C2×D292—44no—
537C2×D292C2×D411yescharacteristic
538C2×D292C2×D411yescharacteristic
539C2×D292C2411yescharacteristic
540C2×D292C2411yescharacteristic
541C2×D292C2411yescharacteristic
542C2×D292C2411yescharacteristic
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73—21no—
557C2×C22⋊D73C2×D411yescharacteristic
558C2×C22⋊D73C2×D411yescharacteristic
559C2×C22⋊D73C2×D411yescharacteristic
560C2×C22⋊D73C2×D411yescharacteristic
561D4×D73—22no—
562D4×D73—22no—
563D4×D73—41no—
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—41no—
567D4×D73—44no—
568D4×D73—44no—
569D4×D73—44no—
570D4×D73—82no—
571D4×D73—82no—
572D4×D73—82no—
573C22×Dic73—21no—
574C22×Dic73C2×D411yescharacteristic
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—21no—
587C2×C4×D73—21no—
588C2×C4×D73—21no—
589C2×C4×D73—41no—
590C2×C4×D73—41no—
591C2×C4×D73—44no—
592C2×C4×D73C2×D411yescharacteristic
593C2×C4×D73C2×D411yescharacteristic
594C2×C4×D73C2411yescharacteristic
595C2×C4×D73C2411yescharacteristic
596C2×C4×D73C2411yescharacteristic
597Dic292—41no—
598#11924018—22no—
599#11924018—41no—
600#11924017—22no—
601#11924017—41no—
602#11924017—41no—
603#11924017—41no—
604#11924016—41no—
605#11924016—41no—
606#11924015—22no—
607#11924015—22no—
608#11924015—22no—
609#11924015—41no—
610D584—22no—
611D584—22no—
612D584—41no—
613D584—41no—
614#11924013—41no—
615#11924013—41no—
616#11924013—41no—
617#11924013—41no—
618#11924011—41no—
619#11924011—41no—
620#11924011—41no—
621C2×#10596831—41no—
622C2×#10596831—41no—
623C2×#10596831C2411yescharacteristic
624C2×#10596831C2411yescharacteristic
625C2×#10596831C2411yescharacteristic
626C2×#10596831C2411yescharacteristic
627C8×D73—41no—
628C4⋊Dic73—21no—
629C4⋊Dic73—21no—
630C4⋊Dic73—21no—
631C4⋊Dic73—21no—
632C4⋊Dic73—21no—
633C4⋊Dic73—21no—
634C4⋊Dic73C2×D411yescharacteristic
635C4⋊Dic73C2411yescharacteristic
636C4⋊Dic73C2411yescharacteristic
637#11924007—21no—
638#11924007—21no—
639#11924007—21no—
640#11924007—21no—
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645#11924007C2×D411yescharacteristic
646#11924007C2×D411yescharacteristic
647#11924007C2×D411yescharacteristic
648#11924007C2×D411yescharacteristic
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73C2×D411yescharacteristic
655C22⋊Dic73C2×D411yescharacteristic
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005C2×D411yescharacteristic
677#11924005C2×D411yescharacteristic
678#11924005C2×D411yescharacteristic
679#11924005C2×D411yescharacteristic
680#11924005C2×D411yescharacteristic
681#11924005C2×D411yescharacteristic
682C4×Dic73—21no—
683C4×Dic73—21no—
684C4×Dic73—21no—
685C4×Dic73C2411yescharacteristic
686#41×C73—22no—
687#41×C73—22no—
688#41×C73—41no—
689#41×C73—41no—
690C2×Q8×C73C2411yescharacteristic
691C2×Q8×C73C2411yescharacteristic
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73C2×D411yescharacteristic
699C2×D4×C73C2411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C22×C4×C73—21no—
702C22×C4×C73—21no—
703C22×C4×C73—21no—
704C22×C4×C73C2411yescharacteristic
705C22×C4×C73C2411yescharacteristic
706Q16×C73—22no—
707SD16×C73—41no—
708SD16×C73—41no—
709M16×C73—41no—
710C2×C8×C73—41no—
711C2×C8×C73C2411yescharacteristic
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C2×C8×C73C2411yescharacteristic
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73C2×D411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73C2×D411yescharacteristic
733C22⋊C4×C73C2×D411yescharacteristic
734C42×C73—21no—
735C42×C73—21no—
736C42×C73—21no—
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73C22×D411yescharacteristic
741C23×C73C22×D411yescharacteristic
742C22×D73—21no—
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—21no—
746C22×D73—41no—
747C22×D73—41no—
748C22×D73—41no—
749C22×D73—42no—
750C22×D73—42no—
751C22×D73—42no—
752C22×D73—42no—
753C22×D73—42no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763C22×D73C22×D411yescharacteristic
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—21no—
767Q8×C73H(5,𝔽2)12yes—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—41no—
773D4×C73—42no—
774D4×C73—42no—
775D4×C73—81no—
776D4×C73—81no—
777D4×C73—81no—
778D4×C73—81no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—42no—
790C2×C4×C73—42no—
791C2×C4×C73—81no—
792C2×C4×C73C22×D411yescharacteristic
793C2×C4×C73C22×D411yescharacteristic
794C2×C4×C73C22×D411yescharacteristic
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73C2511yescharacteristic
797C22⋊D73—41no—
798C22⋊D73—41no—
799C22⋊D73—41no—
800C22⋊D73—41no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C22⋊D73—81no—
810C22⋊D73—81no—
811C22⋊D73—81no—
812C22⋊D73—81no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—21no—
818C2×Dic73—21no—
819C2×Dic73—41no—
820C2×Dic73—42no—
821C2×Dic73C22×D411yescharacteristic
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826D292—24no—
827D292—21no—
828D292—21no—
829D292—21no—
830D292—21no—
831D292—21no—
832D292—21no—
833D292—21no—
834D292—41no—
835D292—41no—
836D292—42no—
837D292—42no—
838D292—42no—
839D292—81no—
840D292—81no—
841D292—81no—
842D292—81no—
843D292—81no—
844D292—81no—
845D292—81no—
846D292—81no—
847D292H(5,𝔽2)12yes—
848C4×D73—24no—
849C4×D73—21no—
850C4×D73—21no—
851C4×D73—21no—
852C4×D73—21no—
853C4×D73—21no—
854C4×D73—21no—
855C4×D73—41no—
856C4×D73—41no—
857C4×D73—42no—
858C4×D73—42no—
859C4×D73—42no—
860C4×D73—81no—
861C4×D73—81no—
862C4×D73—81no—
863C4×D73—81no—
864C4×D73—81no—
865C4×D73—81no—
866C4×D73—81no—
867C4×D73—81no—
868C4×D73—81no—
869C4×D73—81no—
870Dic146—21no—
871Dic146—21no—
872Dic146—21no—
873Dic146—21no—
874Dic146—41no—
875Dic146—42no—
876C8×C73—21no—
877C8×C73—21no—
878C8×C73—21no—
879C8×C73—21no—
880#10596831—21no—
881#10596831—21no—
882#10596831—21no—
883#10596831—21no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—21no—
889C22×C73—21no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—41no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73C23×D411yescharacteristic
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—21no—
900C2×D73—21no—
901C2×D73—21no—
902C2×D73—21no—
903C2×D73—21no—
904C2×D73—21no—
905C2×D73—22no—
906C2×D73—21no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—41no—
912C2×D73—41no—
913C2×D73—41no—
914C2×D73—41no—
915C2×D73—41no—
916C2×D73—41no—
917C2×D73—41no—
918C2×D73—82no—
919C2×D73—84no—
920C2×D73—162no—
921C2×D73—162no—
922C2×D73—162no—
923C4×C73—21no—
924C4×C73—21no—
925C4×C73—22no—
926C4×C73—21no—
927C4×C73—21no—
928C4×C73—41no—
929C4×C73—41no—
930C4×C73—41no—
931C4×C73—41no—
932C4×C73—41no—
933C4×C73C2×H(5,𝔽2)11yescharacteristic
934C4×C73C2×H(5,𝔽2)11yescharacteristic
935Dic73—21no—
936Dic73—21no—
937Dic73—21no—
938Dic73—21no—
939Dic73—21no—
940Dic73—41no—
941Dic73—41no—
942Dic73—41no—
943Dic73—41no—
944#61628—731nomaximal, Sylow
945C2×C73—41no—
946C2×C73—41no—
947C2×C73—81no—
948C2×C73—81no—
949C2×C73#348411yescharacteristic
950C2×C73#358411yescharacteristic
951C2×C73#358511yescharacteristic
952D73—41no—
953D73—41no—
954D73—41no—
955D73—42no—
956D73—81no—
957D73—81no—
958D73—81no—
959#3539—731no—
960#3488—731no—
961#3327—731no—
962#3326—731no—
963#3318—731no—
964#3317D7311yescharacteristic, complemented
965#3310—731no—
966#3309—731no—
967#3297—731no—
968#3296—731no—
969#3287—731no—
970#3284—731no—
971#3274—731no—
972#3272—731no—
973#3271—731no—
974#3269—731no—
975#3268—731no—
976#3267—731no—
977#3222—731no—
978#3220—731no—
979#3204—731no—
980#3203—731no—
981#3194—731no—
982#3188—731no—
983#3120—731no—
984#3119—731no—
985#3012—731no—
986#3012—731no—
987#3005—731no—
988#3002—731no—
989#2976—731no—
990C73#6162811yescharacteristic, complemented, Sylow
991C2×H(5,𝔽2)—731no—
992C22×#41—731no—
993C2×#137—731no—
994C2×AGL(1,ℤ/8)—731no—
995C2×AGL(1,ℤ/8)—731no—
996C2×AGL(1,ℤ/8)—731no—
997C2×#135—731no—
998C2×#135—731no—
999C2×#135—731no—
1000C2×#135—731no—
1001#560—1461no—
1002#560—1461no—
1003#553—731no—
1004#553—731no—
1005#553—1461no—
1006#553—1461no—
1007#552—731no—
1008#552C2×D7311yescharacteristic, complemented
1009#550—731no—
1010#550—731no—
1011#550—731no—
1012#550C2×D7311yescharacteristic
1013#548—731no—
1014#548—731no—
1015#547—731no—
1016#547—731no—
1017#546—731no—
1018#546—731no—
1019#546—1461no—
1020#546—1461no—
1021D42—731no—
1022D42—731no—
1023D42—1461no—
1024D42—1461no—
1025#541—731no—
1026#540—731no—
1027#540—1461no—
1028#540—1461no—
1029#539—1461no—
1030#539—1461no—
1031#537—731no—
1032#537—731no—
1033#537—731no—
1034#537—1461no—
1035#535—731no—
1036#535—1461no—
1037#525—731no—
1038#525—731no—
1039#525—731no—
1040#525—1461no—
1041C2×#121—731no—
1042C2×#121—1461no—
1043#520—731no—
1044#497—731no—
1045#496—731no—
1046#493—731no—
1047#492—731no—
1048#490—731no—
1049#490C2×D7311yescharacteristic, complemented
1050#488—731no—
1051#488—731no—
1052#484—731no—
1053#484—731no—
1054#483—731no—
1055#483—731no—
1056#482—731no—
1057#482—731no—
1058#482—731no—
1059#482C2×D7311yescharacteristic, complemented
1060#481—731no—
1061#481C2×D7311yescharacteristic, complemented
1062#480—731no—
1063#480—731no—
1064#479—731no—
1065#479C2×D7311yescharacteristic, complemented
1066#478—731no—
1067#478—731no—
1068#470—731no—
1069#469—731no—
1070#469—731no—
1071#469—731no—
1072#468—731no—
1073#468—731no—
1074#468—731no—
1075#468C2×D7311yescharacteristic, complemented
1076#467—731no—
1077#466—731no—
1078#466—731no—
1079#466—731no—
1080#465—731no—
1081#465—731no—
1082#465—731no—
1083#465C2×D7311yescharacteristic, complemented
1084#464—731no—
1085#464—731no—
1086#463—731no—
1087#463—731no—
1088#462—731no—
1089#461—731no—
1090#460—731no—
1091#460—731no—
1092#460C2×D7311yescharacteristic, complemented
1093#459—731no—
1094#459—731no—
1095#459—731no—
1096#452—731no—
1097#452—731no—
1098#452—731no—
1099#452—731no—
1100#452—731no—
1101#452—731no—
1102#452—731no—
1103#452—731no—
1104#452C2×D7311yescharacteristic, complemented
1105#452C2×D7311yescharacteristic, complemented
1106#451—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450—731no—
1111#450—731no—
1112#449—731no—
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449—731no—
1119#449—731no—
1120#449—731no—
1121#449—731no—
1122#449—731no—
1123#449—731no—
1124#449—731no—
1125#449—731no—
1126#448—731no—
1127#447—731no—
1128#447—731no—
1129#447—731no—
1130#447—731no—
1131#447—731no—
1132#442—731no—
1133#441C2×D7311yescharacteristic, complemented
1134#440—731no—
1135#440—731no—
1136C4×Q16—731no—
1137C4×SD16—731no—
1138C4×SD16—731no—
1139C4×D8—731no—
1140#436—731no—
1141#436—731no—
1142#435—731no—
1143#435—731no—
1144#435—731no—
1145#435C2×D7311yescharacteristic, complemented
1146C8×D4—731no—
1147C8×D4—731no—
1148#433—731no—
1149#433—731no—
1150#419—731no—
1151#418—731no—
1152#417—731no—
1153#417C2×D7311yescharacteristic, complemented
1154#416—731no—
1155#416C2×D7311yescharacteristic, complemented
1156C2×#102—731no—
1157C2×#102—731no—
1158#408—731no—
1159#408—731no—
1160#407—731no—
1161C2×C22⋊C8—731no—
1162H(5,𝔽2)—2922no—
1163H(5,𝔽2)—2922no—
1164C2×#41—2922no—
1165C2×#41—2922no—
1166C2×#41—731no—
1167C2×#41—731no—
1168C2×#41—731no—
1169C2×#41—731no—
1170C2×#41—731no—
1171C2×#41—731no—
1172C2×#41—731no—
1173C2×#41—731no—
1174C2×#41—731no—
1175C2×#41—1461no—
1176C2×#41—1461no—
1177C2×#41—1461no—
1178C2×#41C22×D7311yescharacteristic
1179C2×#41C22×D7311yescharacteristic
1180C22×Q8—731no—
1181C22×D4—731no—
1182C22×D4—731no—
1183C22×D4—731no—
1184C22×D4—731no—
1185C22×D4—1461no—
1186C22×D4—1461no—
1187C22×D4—1461no—
1188C22×D4—1461no—
1189C22×D4—1461no—
1190C22×D4—1461no—
1191C22×D4—1461no—
1192C23×C4—731no—
1193C23×C4—1461no—
1194#137—2922no—
1195AGL(1,ℤ/8)—2922no—
1196AGL(1,ℤ/8)—2922no—
1197AGL(1,ℤ/8)—2922no—
1198#135—2922no—
1199#135—2922no—
1200#135—2922no—
1201#135—2922no—
1202C2×Q16—731no—
1203C2×Q16—731no—
1204C2×Q16—731no—
1205C2×Q16C22×D7311yescharacteristic
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16—731no—
1209C2×SD16—731no—
1210C2×SD16—731no—
1211C2×SD16—731no—
1212C2×SD16—731no—
1213C2×SD16—731no—
1214C2×SD16—731no—
1215C2×SD16—731no—
1216C2×SD16C22×D7311yescharacteristic
1217C2×SD16C22×D7311yescharacteristic
1218C2×D8—731no—
1219C2×D8—731no—
1220C2×D8—731no—
1221C2×D8—731no—
1222C2×D8—731no—
1223C2×D8—731no—
1224C2×D8—731no—
1225C2×D8—731no—
1226C2×M16—731no—
1227C2×M16—731no—
1228C2×M16—731no—
1229C2×M16C22×D7311yescharacteristic
1230C22×C8—731no—
1231C22×C8—731no—
1232C22×C8—731no—
1233C22×C8C22×D7311yescharacteristic
1234C4⋊Q8—731no—
1235#127—21no—
1236#127—731no—
1237#127—731no—
1238#127—1461no—
1239#127—1461no—
1240#127—1461no—
1241#127C22×D7311yescharacteristic
1242#126—21no—
1243#126—1461no—
1244#126—1461no—
1245#126—1461no—
1246#126—1461no—
1247#126—1461no—
1248#125—21no—
1249#125—731no—
1250#125—1461no—
1251#125—1461no—
1252#125—1461no—
1253#125C22×D7311yescharacteristic
1254#124—731no—
1255#124—731no—
1256#124—1461no—
1257#124—1461no—
1258#123—21no—
1259#123—731no—
1260#123—731no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271#123—1461no—
1272#123—1461no—
1273#123—1461no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8C22×D7311yescharacteristic
1288C22⋊Q8C22×D7311yescharacteristic
1289#121—21no—
1290#121—21no—
1291#121—731no—
1292#121—731no—
1293#121—731no—
1294#121—731no—
1295#121—731no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121C22×D7311yescharacteristic
1335#121C22×D7311yescharacteristic
1336#120—731no—
1337#120—731no—
1338#120—1461no—
1339#120—1461no—
1340#120—1461no—
1341#120—1461no—
1342#120—1461no—
1343#120—1461no—
1344#120—1461no—
1345#120—1461no—
1346#120—1461no—
1347#120—1461no—
1348C4×Q8—731no—
1349C4×Q8—731no—
1350C4×Q8C22×D7311yescharacteristic
1351C4×Q8C22×D7311yescharacteristic
1352C4×D4—21no—
1353C4×D4—731no—
1354C4×D4—731no—
1355C4×D4—731no—
1356C4×D4—731no—
1357C4×D4—731no—
1358C4×D4—731no—
1359C4×D4—731no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4—1461no—
1366C4×D4—1461no—
1367C4×D4—1461no—
1368C4×D4—1461no—
1369C4×D4—1461no—
1370C4×D4—1461no—
1371C4×D4—1461no—
1372C4×D4—1461no—
1373C4×D4C22×D7311yescharacteristic
1374#117—21no—
1375#117—731no—
1376#117—731no—
1377#117—1461no—
1378#117—1461no—
1379#117C22×D7311yescharacteristic
1380C2×C4⋊C4—731no—
1381C2×C4⋊C4—731no—
1382C2×C4⋊C4—1461no—
1383C2×C4⋊C4—1461no—
1384C2×C4⋊C4—1461no—
1385C2×C4⋊C4C22×D7311yescharacteristic
1386C2×C22⋊C4—1461no—
1387C2×C22⋊C4—1461no—
1388C2×C22⋊C4—1461no—
1389#107—731no—
1390#107—731no—
1391#107—731no—
1392#107C22×D7311yescharacteristic
1393#106—731no—
1394#106—731no—
1395#106C22×D7311yescharacteristic
1396#106C22×D7311yescharacteristic
1397C4⋊C8—731no—
1398C4⋊C8—731no—
1399C4⋊C8—731no—
1400C4⋊C8C22×D7311yescharacteristic
1401#103—731no—
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103—731no—
1406#103—731no—
1407#103—731no—
1408#103—731no—
1409#103C22×D7311yescharacteristic
1410#103C22×D7311yescharacteristic
1411#103C22×D7311yescharacteristic
1412#103C22×D7311yescharacteristic
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102—731no—
1423#102—731no—
1424#102—731no—
1425#102—731no—
1426#102—731no—
1427#102C22×D7311yescharacteristic
1428#102C22×D7311yescharacteristic
1429#102C22×D7311yescharacteristic
1430#102C22×D7311yescharacteristic
1431#102C22×D7311yescharacteristic
1432#102C22×D7311yescharacteristic
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8—731no—
1436C22⋊C8—731no—
1437C22⋊C8—731no—
1438C22⋊C8—731no—
1439C22⋊C8—731no—
1440C22⋊C8—731no—
1441C22⋊C8—731no—
1442C22⋊C8—731no—
1443C22⋊C8C22×D7311yescharacteristic
1444C22⋊C8C22×D7311yescharacteristic
1445#97—731no—
1446#97C22×D7311yescharacteristic
1447C4×C8—731no—
1448C4×C8—731no—
1449C24—731no—
1450C24—1461no—
1451C24—1461no—
1452C24—1461no—
1453C24—1461no—
1454#41—22no—
1455#41—22no—
1456#41—41no—
1457#41—41no—
1458#41—2921no—
1459#41—2921no—
1460#41—2921no—
1461#41—2921no—
1462#41—2921no—
1463#41—2921no—
1464#41—2921no—
1465#41—2924no—
1466#41—2924no—
1467#41—2921no—
1468#41—2921no—
1469#41—2924no—
1470#41—2921no—
1471#41—2921no—
1472#41—2921no—
1473#41—2921no—
1474#41—2921no—
1475#41—1462no—
1476#41—1462no—
1477#41—1462no—
1478#41—1462no—
1479C2×Q8—2921no—
1480C2×Q8—731no—
1481C2×Q8—731no—
1482C2×Q8—731no—
1483C2×Q8—1461no—
1484C2×Q8—1462no—
1485C2×Q8C23×D7311yescharacteristic
1486C2×Q8C23×D7311yescharacteristic
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—2921no—
1494C2×D4—2924no—
1495C2×D4—2924no—
1496C2×D4—2924no—
1497C2×D4—2921no—
1498C2×D4—2921no—
1499C2×D4—2921no—
1500C2×D4—2921no—
1501C2×D4—2924no—
1502C2×D4—5842no—
1503C2×D4—5842no—
1504C2×D4—5842no—
1505C2×D4—731no—
1506C2×D4—731no—
1507C2×D4—731no—
1508C2×D4—731no—
1509C2×D4—731no—
1510C2×D4—731no—
1511C2×D4—731no—
1512C2×D4—731no—
1513C2×D4—731no—
1514C2×D4—731no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1462no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1462no—
1531C2×D4—1462no—
1532C2×D4—1461no—
1533C2×D4—1461no—
1534C2×D4—1461no—
1535C2×D4—1461no—
1536C2×D4—1461no—
1537C2×D4—1461no—
1538C2×D4—1461no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4D4×D7311yescharacteristic
1545C2×D4C23×D7311yescharacteristic
1546C2×D4C23×D7311yescharacteristic
1547C22×C4—21no—
1548C22×C4—21no—
1549C22×C4—21no—
1550C22×C4—2921no—
1551C22×C4—2921no—
1552C22×C4—2924no—
1553C22×C4—731no—
1554C22×C4—731no—
1555C22×C4—731no—
1556C22×C4—731no—
1557C22×C4—731no—
1558C22×C4—731no—
1559C22×C4—1461no—
1560C22×C4—1461no—
1561C22×C4—1461no—
1562C22×C4—1461no—
1563C22×C4—1461no—
1564C22×C4—1461no—
1565C22×C4—1461no—
1566C22×C4—1461no—
1567C22×C4—1461no—
1568C22×C4—1461no—
1569C22×C4—1461no—
1570C22×C4—1461no—
1571C22×C4—1461no—
1572C22×C4—1461no—
1573C22×C4—1461no—
1574C22×C4C23×D7311yescharacteristic
1575C22×C4C23×D7311yescharacteristic
1576Q16—22no—
1577Q16—2921no—
1578Q16—2921no—
1579Q16—1462no—
1580SD16—41no—
1581SD16—41no—
1582SD16—2921no—
1583SD16—2921no—
1584SD16—2921no—
1585SD16—2921no—
1586SD16—2921no—
1587SD16—2921no—
1588SD16—1462no—
1589SD16—1462no—
1590SD16—1462no—
1591SD16—1462no—
1592D8—2921no—
1593D8—2921no—
1594D8—2921no—
1595D8—2921no—
1596D8—2921no—
1597D8—2921no—
1598D8—1462no—
1599D8—1462no—
1600M16—41no—
1601M16—2921no—
1602M16—2921no—
1603M16—2921no—
1604C2×C8—41no—
1605C2×C8—2921no—
1606C2×C8—2921no—
1607C2×C8—2921no—
1608C2×C8—731no—
1609C2×C8—731no—
1610C2×C8—731no—
1611C2×C8—731no—
1612C2×C8C23×D7311yescharacteristic
1613C2×C8C23×D7311yescharacteristic
1614C2×C8C23×D7311yescharacteristic
1615C2×C8C23×D7311yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—731no—
1624C4⋊C4—731no—
1625C4⋊C4—731no—
1626C4⋊C4—731no—
1627C4⋊C4—731no—
1628C4⋊C4—731no—
1629C4⋊C4—731no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4—1461no—
1636C4⋊C4—1461no—
1637C4⋊C4—1461no—
1638C4⋊C4—1461no—
1639C4⋊C4—1461no—
1640C4⋊C4—1461no—
1641C4⋊C4—1461no—
1642C4⋊C4—1461no—
1643C4⋊C4—1461no—
1644C4⋊C4D4×D7311yescharacteristic
1645C4⋊C4C23×D7311yescharacteristic
1646C4⋊C4C23×D7311yescharacteristic
1647C4⋊C4C23×D7311yescharacteristic
1648C4⋊C4C23×D7311yescharacteristic
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—731no—
1655C22⋊C4—731no—
1656C22⋊C4—731no—
1657C22⋊C4—731no—
1658C22⋊C4—731no—
1659C22⋊C4—731no—
1660C22⋊C4—731no—
1661C22⋊C4—731no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4—1461no—
1679C22⋊C4—1461no—
1680C22⋊C4—1461no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4D4×D7311yescharacteristic
1688C22⋊C4D4×D7311yescharacteristic
1689C42—21no—
1690C42—21no—
1691C42—21no—
1692C42—731no—
1693C42—1461no—
1694C42—1461no—
1695C42—1461no—
1696C42C23×D7311yescharacteristic
1697C23—21no—
1698C23—21no—
1699C23—2922no—
1700C23—2921no—
1701C23—2921no—
1702C23—2921no—
1703C23—2922no—
1704C23—2922no—
1705C23—2922no—
1706C23—2922no—
1707C23—5841no—
1708C23—5841no—
1709C23—5841no—
1710C23—5841no—
1711C23—5841no—
1712C23—5841no—
1713C23—5841no—
1714C23—731no—
1715C23—731no—
1716C23—731no—
1717C23—1461no—
1718C23—1461no—
1719C23—1461no—
1720C23—1461no—
1721C23C2×D4×D7311yescharacteristic
1722C23C2×D4×D7311yescharacteristic
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—2922no—
1727Q8—2921no—
1728Q8—1461no—
1729Q8—1461no—
1730Q8—1461no—
1731Q8—1461no—
1732Q8#1455663712yes—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—41no—
1738D4—42no—
1739D4—42no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—2922no—
1745D4—2922no—
1746D4—2921no—
1747D4—2921no—
1748D4—2922no—
1749D4—2922no—
1750D4—2922no—
1751D4—2922no—
1752D4—2921no—
1753D4—2921no—
1754D4—2921no—
1755D4—2921no—
1756D4—2922no—
1757D4—2922no—
1758D4—2922no—
1759D4—5841no—
1760D4—5841no—
1761D4—5841no—
1762D4—5841no—
1763D4—5841no—
1764D4—5841no—
1765D4—5841no—
1766D4—5841no—
1767D4—5841no—
1768D4—5841no—
1769D4—5841no—
1770D4—5841no—
1771D4—5841no—
1772D4—5841no—
1773D4—5841no—
1774D4—5841no—
1775D4—732no—
1776D4—1464no—
1777D4—1461no—
1778D4—1461no—
1779D4—1461no—
1780D4—1461no—
1781D4—1461no—
1782D4—1461no—
1783D4—1461no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—42no—
1795C2×C4—42no—
1796C2×C4—81no—
1797C2×C4—2922no—
1798C2×C4—2922no—
1799C2×C4—2922no—
1800C2×C4—2921no—
1801C2×C4—2921no—
1802C2×C4—2922no—
1803C2×C4—2921no—
1804C2×C4—5841no—
1805C2×C4—5841no—
1806C2×C4—5841no—
1807C2×C4—5841no—
1808C2×C4—5841no—
1809C2×C4—5841no—
1810C2×C4—5841no—
1811C2×C4—5841no—
1812C2×C4—5841no—
1813C2×C4—5841no—
1814C2×C4—731no—
1815C2×C4—731no—
1816C2×C4—731no—
1817C2×C4—731no—
1818C2×C4—731no—
1819C2×C4—1464no—
1820C2×C4—1461no—
1821C2×C4—1461no—
1822C2×C4—1461no—
1823C2×C4—1461no—
1824C2×C4—1461no—
1825C2×C4—1461no—
1826C2×C4—1461no—
1827C2×C4—1461no—
1828C2×C4—1461no—
1829C2×C4—1461no—
1830C2×C4C2×D4×D7311yescharacteristic
1831C2×C4C2×D4×D7311yescharacteristic
1832C2×C4C2×D4×D7311yescharacteristic
1833C2×C4C2×D4×D7311yescharacteristic
1834C2×C4C24×D7311yescharacteristic
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—1461no—
1840C8—1461no—
1841C8—1461no—
1842C8—1461no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—2921no—
1856C22—2921no—
1857C22—2921no—
1858C22—2921no—
1859C22—2921no—
1860C22—2921no—
1861C22—2921no—
1862C22—2921no—
1863C22—2921no—
1864C22—2921no—
1865C22—2921no—
1866C22—5842no—
1867C22—5844no—
1868C22—11682no—
1869C22—11682no—
1870C22—11682no—
1871C22—1461no—
1872C22—1462no—
1873C22—1461no—
1874C22—1461no—
1875C22—1461no—
1876C22—1461no—
1877C22—1461no—
1878C22—1461no—
1879C22—1461no—
1880C22—1461no—
1881C22C22×D4×D7311yescharacteristic
1882C4—21no—
1883C4—21no—
1884C4—22no—
1885C4—21no—
1886C4—21no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—2921no—
1893C4—2921no—
1894C4—2921no—
1895C4—2921no—
1896C4—1461no—
1897C4—1461no—
1898C4—1461no—
1899C4—1461no—
1900C4—1461no—
1901C4H(5,𝔽2)×D7311yescharacteristic
1902C4C2×#1455663711yescharacteristic
1903C2—41no—
1904C2—41no—
1905C2—81no—
1906C2—81no—
1907C2—2922no—
1908C2—2921no—
1909C2—2921no—
1910C2—2921no—
1911C2—5841no—
1912C2—5841no—
1913C2—5841no—
1914C2#2262356111yescharacteristic
1915C2#2262470411yescharacteristic
1916C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3317C2
socleC22×C73C23×D4
hypercenter#3317D73
hypocenterC73#61628
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #22624192C2semidirect
2. #22623599C2semidirect
3. #22622196C2semidirect
4. #22622185C2semidirect
5. #22622070C2semidirect
6. #22621951C2semidirect
7. #22621933C2semidirect
8. #22621784C2semidirect
9. #22621760C2semidirect
10. #22621687C2semidirect
11. #22621654C2semidirect
12. #22621546C2semidirect
13. #22621528C2semidirect
14. #22621518C2semidirect
15. #22621479C2semidirect
16. #22621476C2semidirect
17. #22621453C2semidirect
18. #22621002C2semidirect
19. #22620982C2semidirect
20. #22620844C2semidirect
21. #22620829C2semidirect
22. #22620749C2semidirect
23. #22620697C2semidirect
24. #22620143C2semidirect
25. #22620137C2semidirect
26. #22619239C2semidirect
27. #22619237C2semidirect
28. #22619174C2semidirect
29. #22619151C2semidirect
30. #22618980C2semidirect
31. C73×#3317C2semidirect
34. C2×#14556623C22semidirect
35. C2×#14556619C22semidirect
36. C2×#14556618C22semidirect
37. C2×#14556618C22semidirect
38. C2×#14556614C22semidirect
39. C2×#14556613C22semidirect
40. C2×#14556611C22semidirect
41. C2×#14556611C22semidirect
45. #17989285C22semidirect
47. #17989281C22semidirect
48. #17989275C22semidirect
49. #17989259C22semidirect
50. #17989258C22semidirect
54. #17989239C22semidirect
55. #17989239C22semidirect
64. #17989195C22semidirect
65. #17989193C22semidirect
70. #17989168C22semidirect
71. #17989167C22semidirect
76. #17989100C22semidirect
77. #17989099C22semidirect
83. #17988978C22semidirect
84. #17988976C22semidirect
85. #17988963C22semidirect
86. #17988958C22semidirect
87. #17988950C22semidirect
88. #17988944C22semidirect
89. #17988940C22semidirect
90. #17988924C22semidirect
91. #17988921C22semidirect
92. #17988919C22semidirect
93. #17988917C22semidirect
94. #17988913C22semidirect
95. #17988911C22semidirect
96. #17988909C22semidirect
97. #17988907C22semidirect
98. #17988902C22semidirect
99. #17988899C22semidirect
100. #17988896C22semidirect
101. #17988886C22semidirect
102. #17988884C22semidirect
103. #17988846C22semidirect
104. #17988841C22semidirect
105. #17988839C22semidirect
106. #17988839C22semidirect
107. #17988834C22semidirect
108. #17988833C22semidirect
109. #17988832C22semidirect
110. #17988826C22semidirect
111. #17988823C22semidirect
112. #17988821C22semidirect
113. #17988821C22semidirect
114. #17988818C22semidirect
115. #17988817C22semidirect
116. #17988815C22semidirect
117. #17988810C22semidirect
118. #17988809C22semidirect
119. #17988801C22semidirect
120. #17988801C22semidirect
121. #17988795C22semidirect
122. #17988791C22semidirect
123. #17988787C22semidirect
124. #17988784C22semidirect
125. #17988783C22semidirect
126. #17988781C22semidirect
127. #17988781C22semidirect
129. #17988752C22semidirect
130. #17988752C22semidirect
131. #17988751C22semidirect
132. #17988750C22semidirect
134. #17988747C22semidirect
135. #17988746C22semidirect
136. #17988744C22semidirect
137. #17988739C22semidirect
138. #17988739C22semidirect
139. #17988739C22semidirect
140. #17988737C22semidirect
141. #17988736C22semidirect
144. #17988735C22semidirect
145. #17988735C22semidirect
146. #17988734C22semidirect
147. #17988734C22semidirect
148. #17988733C22semidirect
149. #17988733C22semidirect
150. #17988732C22semidirect
151. #17988732C22semidirect
152. #17988731C22semidirect
153. #17988731C22semidirect
154. #17988730C22semidirect
155. #17988730C22semidirect
156. #17988727C22semidirect
157. #17988723C22semidirect
158. #17988722C22semidirect
159. #17988722C22semidirect
160. #17988722C22semidirect
161. #17988722C22semidirect
162. #17988698C22semidirect
163. #17988690C22semidirect
164. #17988689C22semidirect
165. C4×#11924018C22semidirect
166. C4×#11924015C22semidirect
167. #17988672C22semidirect
168. #17988669C22semidirect
169. #17988664C22semidirect
170. #17988663C22semidirect
171. #17988660C22semidirect
172. #17988658C22semidirect
173. #17988655C22semidirect
174. D4×#10596831C22semidirect
175. #17988650C22semidirect
176. #17988649C22semidirect
177. #17988647C22semidirect
178. #17988594C22semidirect
179. #17988590C22semidirect
180. #17988587C22semidirect
181. #17988581C22semidirect
182. C2×#14556511C22semidirect
183. #102×D73C22semidirect
184. #17988555C22semidirect
185. #17988552C22semidirect
186. #17988549C22semidirect
187. C2×#14556503C22semidirect
188. #552×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #481×C73C22semidirect
193. #479×C73C22semidirect
194. #468×C73C22semidirect
195. #465×C73C22semidirect
196. #460×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
199. #441×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. #416×C73C22semidirect
964. #3317D73semidirect
990. C73#61628semidirect
1008. #552C2×D73semidirect
1049. #490C2×D73semidirect
1059. #482C2×D73semidirect
1061. #481C2×D73semidirect
1065. #479C2×D73semidirect
1075. #468C2×D73semidirect
1083. #465C2×D73semidirect
1092. #460C2×D73semidirect
1104. #452C2×D73semidirect
1105. #452C2×D73semidirect
1133. #441C2×D73semidirect
1145. #435C2×D73semidirect
1153. #417C2×D73semidirect
1155. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226241922
#226235992
#226221962
#226221852
#226220702
#226219512
#226219332
#226217842
#226217602
#226216872
#226216542
#226215462
#226215282
#226215182
#226214792
#226214762
#226214532
#226210022
#226209822
#226208442
#226208292
#226207492
#226206972
#226201432
#226201372
#226192392
#226192372
#226191742
#226191512
#226189802
C73×#33172
#6162873