Finite Group Databasebeta

← #33972847

Subgroups — #33972847

Order 18688.

2166 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624304C211yesmaximal, characteristic, complemented
2#22623691C211yesmaximal, characteristic, complemented
3#22622070C211yesmaximal, characteristic, complemented
4#22622068C211yesmaximal, characteristic, complemented
5#22621966C211yesmaximal, characteristic, complemented
6#22621964C211yesmaximal, characteristic, complemented
7#22621910C211yesmaximal, characteristic, complemented
8#22621908C211yesmaximal, characteristic, complemented
9#22621886C211yesmaximal, characteristic, complemented
10#22621476C211yesmaximal, characteristic, complemented
11#22621467C211yesmaximal, characteristic, complemented
12#22621453C211yesmaximal, characteristic, complemented
13#22621449C211yesmaximal, characteristic, complemented
14#22621418C211yesmaximal, characteristic, complemented
15#22621417C211yesmaximal, characteristic, complemented
16#22621413C211yesmaximal, characteristic, complemented
17#22621409C211yesmaximal, characteristic, complemented
18#22620967C211yesmaximal, characteristic, complemented
19#22620927C211yesmaximal, characteristic, complemented
20#22620844C211yesmaximal, characteristic, complemented
21#22620841C211yesmaximal, characteristic, complemented
22#22620786C211yesmaximal, characteristic, complemented
23#22620778C211yesmaximal, characteristic, complemented
24#22620067C211yesmaximal, characteristic, complemented
25#22620024C211yesmaximal, characteristic, complemented
26#22619240C211yesmaximal, characteristic, complemented
27#22619237C211yesmaximal, characteristic, complemented
28#22619196C211yesmaximal, characteristic, complemented
29#22619194C211yesmaximal, characteristic, complemented
30#22618999C211yesmaximal, characteristic, complemented
31C73×#3306C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic, complemented
33C2×#14556636C2211yescharacteristic, complemented
34C2×#14556619C2211yescharacteristic, complemented
35C2×#14556618C2211yescharacteristic, complemented
36C2×#14556617C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38C2×#14556613C2211yescharacteristic, complemented
39C2×#14556611C2211yescharacteristic, complemented
40C2×D8×D73C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic, complemented
42#17989327—21no—
43#17989327—21no—
44#17989311C2211yescharacteristic, complemented
45#17989285C2211yescharacteristic, complemented
46#17989285C2211yescharacteristic, complemented
47#17989258C2211yescharacteristic, complemented
48#17989256—21no—
49#17989239C2211yescharacteristic, complemented
50#17989236C2211yescharacteristic, complemented
51#17989235—21no—
52#17989234C2211yescharacteristic, complemented
53#17989234C2211yescharacteristic, complemented
54#17989233C2211yescharacteristic, complemented
55#17989232C2211yescharacteristic
56#17989230C2211yescharacteristic
57#17989228—21no—
58#17989227—21no—
59#17989226—21no—
60D4×D292C2211yescharacteristic, complemented
61#17989221C2211yescharacteristic, complemented
62D4×C22⋊D73C2211yescharacteristic, complemented
63#17989219—21no—
64#17989210—21no—
65#17989173—21no—
66#17989173—21no—
67#17989168C2211yescharacteristic, complemented
68#17989168C2211yescharacteristic, complemented
69#17989167C2211yescharacteristic, complemented
70#17989166C2211yescharacteristic, complemented
71#17989153C2211yescharacteristic, complemented
72#17989153C2211yescharacteristic, complemented
73#17989151—21no—
74#17989148—21no—
75#17989147—21no—
76#17989138C2211yescharacteristic, complemented
77#17989136C2211yescharacteristic, complemented
78#17989134C2211yescharacteristic
79#17989119C2211yescharacteristic, complemented
80C2×#14556564—21no—
81#121×D73—21no—
82C4×D4×D73C2211yescharacteristic, complemented
83#17988978C2211yescharacteristic, complemented
84#17988977C2211yescharacteristic, complemented
85#17988976C2211yescharacteristic, complemented
86#17988975C2211yescharacteristic, complemented
87#17988954C2211yescharacteristic, complemented
88#17988950C2211yescharacteristic, complemented
89#17988949C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988917C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic, complemented
98#17988905C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic, complemented
102#17988874C2211yescharacteristic, complemented
103#17988846C2211yescharacteristic, complemented
104#17988844C2211yescharacteristic, complemented
105#17988841C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic, complemented
108#17988835C2211yescharacteristic, complemented
109#17988833C2211yescharacteristic, complemented
110#17988823C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988819C2211yescharacteristic, complemented
113#17988817C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988815C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988806C2211yescharacteristic, complemented
119#17988802C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic, complemented
121#17988800C2211yescharacteristic, complemented
122#17988791C2211yescharacteristic, complemented
123#17988791C2211yescharacteristic, complemented
124#17988783C2211yescharacteristic, complemented
125#17988782C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic, complemented
133#17988747C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic, complemented
135#17988739C2211yescharacteristic, complemented
136#17988739C2211yescharacteristic, complemented
137#17988739C2211yescharacteristic, complemented
138#17988736C2211yescharacteristic, complemented
139#17988735C2211yescharacteristic, complemented
140#17988735C2211yescharacteristic, complemented
141#17988735C2211yescharacteristic, complemented
142#17988734C2211yescharacteristic, complemented
143#17988734C2211yescharacteristic, complemented
144#17988733C2211yescharacteristic, complemented
145#17988733C2211yescharacteristic, complemented
146#17988733C2211yescharacteristic, complemented
147#17988732C2211yescharacteristic, complemented
148#17988731C2211yescharacteristic, complemented
149#17988730C2211yescharacteristic, complemented
150#17988730C2211yescharacteristic, complemented
151#17988729C2211yescharacteristic, complemented
152#17988723C2211yescharacteristic, complemented
153#17988722C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic, complemented
155#17988722C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988721C2211yescharacteristic, complemented
159#17988720C2211yescharacteristic, complemented
160#17988719C2211yescharacteristic
161#17988719C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic, complemented
163#17988698C2211yescharacteristic, complemented
164#17988697C2211yescharacteristic, complemented
165#17988696C2211yescharacteristic, complemented
166#17988696C2211yescharacteristic, complemented
167#17988689C2211yescharacteristic, complemented
168#17988687C2211yescharacteristic, complemented
169#17988661C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174#17988656C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176#17988643C2211yescharacteristic, complemented
177#17988642C2211yescharacteristic, complemented
178#17988590C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988586C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183C2×#14556511C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988553C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#17988552C2211yescharacteristic, complemented
188#547×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic, complemented
190#489×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205#14556636—42no—
206#14556636—42no—
207C2×#11924029—21no—
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924028—21no—
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924028C2311yescharacteristic
216C2×#11924027—21no—
217C2×#11924027C2311yescharacteristic
218C2×#11924027C2311yescharacteristic
219C22×D292—21no—
220C22×D292—21no—
221C22×D292C2311yescharacteristic
222C22×C22⋊D73—21no—
223C22×C22⋊D73—21no—
224C22×C22⋊D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73—21no—
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C22×C4×D73—21no—
235#14556619—42no—
236#14556618—42no—
237#14556617—42no—
238#14556615—42no—
239#14556613—42no—
240#14556611—42no—
241C2×Dic292C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252C2×D584C2311yescharacteristic
253C2×D584C2311yescharacteristic
254C2×D584C2311yescharacteristic
255C2×D584C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262D8×D73—42no—
263D8×D73—42no—
264C2×#11924012C2311yescharacteristic
265C2×#11924011C2311yescharacteristic
266C2×#11924011C2311yescharacteristic
267C22×#10596831C2311yescharacteristic
268C2×C8×D73C2311yescharacteristic
269C2×C8×D73C2311yescharacteristic
270#14556590D411yescharacteristic
271#14556589C2311yescharacteristic
272#14556588C2311yescharacteristic
273#14556587—21no—
274#14556587—21no—
275#14556587—21no—
276#14556587D411yescharacteristic
277#14556587C2311yescharacteristic
278#14556586—21no—
279#14556586—21no—
280#14556586—21no—
281#14556586—21no—
282#14556584—21no—
283#14556582C2311yescharacteristic
284#14556580—21no—
285#14556580—21no—
286#14556579C2311yescharacteristic
287#14556578C2311yescharacteristic
288#14556577—21no—
289#14556577—21no—
290#14556577D411yescharacteristic
291#14556577D411yescharacteristic
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556576—21no—
296#14556575—21no—
297#14556574—21no—
298#14556573—21no—
299#14556573—21no—
300#14556573—21no—
301#14556573—21no—
302#14556573—21no—
303#14556572—21no—
304#14556571—21no—
305#14556571—21no—
306#14556571C2311yescharacteristic
307#14556571C2311yescharacteristic
308#14556571C2311yescharacteristic
309#14556571C2311yescharacteristic
310#14556570C2311yescharacteristic
311#14556569—21no—
312#14556568—21no—
313#14556567C2311yescharacteristic
314#14556566—21no—
315#14556566—21no—
316#14556566—21no—
317#14556566—21no—
318#14556566D411yescharacteristic
319#14556566C2311yescharacteristic
320#14556566C2311yescharacteristic
321#14556566C2311yescharacteristic
322#14556566C2311yescharacteristic
323#14556566C2311yescharacteristic
324#14556565—21no—
325#14556565—21no—
326#14556565—21no—
327#14556565—21no—
328#14556565—21no—
329#14556565—21no—
330#14556565—21no—
331#14556565—21no—
332#14556565C2311yescharacteristic
333#14556565C2311yescharacteristic
334#14556565C2311yescharacteristic
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#14556564—21no—
346#14556564D411yescharacteristic
347#14556564D411yescharacteristic
348#14556563—21no—
349#14556563—21no—
350#14556563—21no—
351#14556562—21no—
352#14556562—21no—
353#14556562—21no—
354#14556562D411yescharacteristic
355#14556562C2311yescharacteristic
356#14556562C2311yescharacteristic
357#14556561—21no—
358#14556561—21no—
359#14556561—21no—
360#14556561—21no—
361#14556561—21no—
362#14556561—21no—
363#14556561—21no—
364#14556560—21no—
365#14556559—21no—
366#14556559—21no—
367#14556559—21no—
368#14556559—21no—
369#14556559—21no—
370#14556559—21no—
371#14556559—21no—
372Q8×Dic73—21no—
373C4×Dic146C2311yescharacteristic
374C4×D292C2311yescharacteristic
375C4×D292C2311yescharacteristic
376D4×Dic73C2311yescharacteristic
377#14556553—21no—
378#14556553—21no—
379#14556553C2311yescharacteristic
380#14556553C2311yescharacteristic
381#14556553C2311yescharacteristic
382C4×C22⋊D73—21no—
383C4×C22⋊D73—21no—
384C4×C22⋊D73—21no—
385C4×C22⋊D73—21no—
386C4×C22⋊D73C2311yescharacteristic
387C4×C22⋊D73C2311yescharacteristic
388#14556551—21no—
389#14556551—21no—
390#14556551—21no—
391#14556550—21no—
392#14556549C2311yescharacteristic
393#14556549C2311yescharacteristic
394C2×#11924007—21no—
395C4⋊C4×D73—21no—
396C4⋊C4×D73C2311yescharacteristic
397C2×#11924005—21no—
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403C42×D73C2311yescharacteristic
404#14556525C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
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#14556502C2311yescharacteristic
445#14556501C2311yescharacteristic
446#14556501C2311yescharacteristic
447C2×#41×C73—21no—
448C2×#41×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×M16×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455C4⋊Q8×C73C2311yescharacteristic
456#124×C73C2311yescharacteristic
457#123×C73—21no—
458#123×C73—21no—
459#123×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#120×C73—21no—
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C2×C4⋊C4×C73C2311yescharacteristic
471C2×C4⋊C4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#106×C73C2311yescharacteristic
474#106×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×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×D73—21no—
495C23×D73—21no—
496#11924029—22no—
497#11924029—41no—
498#11924029—41no—
499#11924029—41no—
500#11924029—82no—
501#11924028—22no—
502#11924028—41no—
503#11924028—41no—
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#11924027—22no—
513#11924027—41no—
514#11924027—41no—
515#11924027—41no—
516#11924027—44no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2×D411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521C2×D292—22no—
522C2×D292—21no—
523C2×D292—21no—
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—41no—
533C2×D292—44no—
534C2×D292—82no—
535C2×D292C2×D411yescharacteristic
536C2×D292C2×D411yescharacteristic
537C2×D292C2×D411yescharacteristic
538C2×D292C2411yescharacteristic
539C2×D292C2411yescharacteristic
540C2×D292C2411yescharacteristic
541C2×D292C2411yescharacteristic
542C2×C22⋊D73—21no—
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⋊D73—21no—
558C2×C22⋊D73—21no—
559C2×C22⋊D73—44no—
560C2×C22⋊D73—44no—
561C2×C22⋊D73—82no—
562C2×C22⋊D73C2×D411yescharacteristic
563C2×C22⋊D73C2×D411yescharacteristic
564C2×C22⋊D73C2×D411yescharacteristic
565C2×C22⋊D73C2×D411yescharacteristic
566C2×C22⋊D73C2×D411yescharacteristic
567C2×C22⋊D73C2×D411yescharacteristic
568D4×D73—22no—
569D4×D73—22no—
570D4×D73—22no—
571D4×D73—22no—
572D4×D73—41no—
573D4×D73—41no—
574D4×D73—41no—
575D4×D73—41no—
576D4×D73—41no—
577D4×D73—41no—
578D4×D73—44no—
579D4×D73—44no—
580D4×D73—44no—
581D4×D73—82no—
582C22×Dic73—21no—
583C22×Dic73—21no—
584C22×Dic73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—21no—
587C2×C4×D73—21no—
588C2×C4×D73—21no—
589C2×C4×D73—21no—
590C2×C4×D73—21no—
591C2×C4×D73—21no—
592C2×C4×D73—21no—
593C2×C4×D73—21no—
594C2×C4×D73—21no—
595C2×C4×D73—82no—
596C2×C4×D73C2×D411yescharacteristic
597C2×C4×D73C2×D411yescharacteristic
598C2×C4×D73C2411yescharacteristic
599C2×C4×D73C2411yescharacteristic
600C2×C4×D73C2411yescharacteristic
601Dic292—41no—
602#11924018—41no—
603#11924017—22no—
604#11924017—41no—
605#11924017—41no—
606#11924017—41no—
607#11924016—22no—
608#11924016—41no—
609#11924016—41no—
610#11924015—41no—
611#11924015—41no—
612D584—22no—
613D584—22no—
614D584—41no—
615D584—41no—
616#11924013—22no—
617#11924013—22no—
618#11924013—22no—
619#11924013—41no—
620#11924013—41no—
621#11924013—41no—
622#11924012—41no—
623#11924011—41no—
624#11924011—41no—
625C2×#10596831—41no—
626C2×#10596831C2411yescharacteristic
627C2×#10596831C2411yescharacteristic
628C2×#10596831C2411yescharacteristic
629C2×#10596831C2411yescharacteristic
630C8×D73—41no—
631C8×D73—41no—
632C4⋊Dic73—21no—
633C4⋊Dic73—21no—
634C4⋊Dic73—21no—
635C4⋊Dic73—21no—
636C4⋊Dic73—21no—
637C4⋊Dic73C2×D411yescharacteristic
638C4⋊Dic73C2411yescharacteristic
639C4⋊Dic73C2411yescharacteristic
640#11924007—21no—
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007—21no—
647#11924007C2×D411yescharacteristic
648#11924007C2×D411yescharacteristic
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73C2×D411yescharacteristic
656C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
677#11924005—21no—
678#11924005C2×D411yescharacteristic
679#11924005C2×D411yescharacteristic
680#11924005C2×D411yescharacteristic
681#11924005C2×D411yescharacteristic
682C4×Dic73—21no—
683C4×Dic73—21no—
684C4×Dic73—21no—
685C4×Dic73C2×D411yescharacteristic
686C4×Dic73C2×D411yescharacteristic
687C4×Dic73C2411yescharacteristic
688C24×C73—21no—
689#41×C73—22no—
690#41×C73—41no—
691#41×C73—82no—
692C2×Q8×C73—21no—
693C2×Q8×C73C2411yescharacteristic
694C2×D4×C73—22no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73—21no—
700C2×D4×C73—41no—
701C2×D4×C73C2×D411yescharacteristic
702C2×D4×C73C2411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C2×D4×C73C2411yescharacteristic
705C22×C4×C73—21no—
706C22×C4×C73—21no—
707C22×C4×C73—21no—
708C22×C4×C73—21no—
709C22×C4×C73—21no—
710C22×C4×C73C2411yescharacteristic
711C22×C4×C73C2411yescharacteristic
712SD16×C73—41no—
713D8×C73—22no—
714D8×C73—41no—
715M16×C73—41no—
716C2×C8×C73—41no—
717C2×C8×C73C2411yescharacteristic
718C2×C8×C73C2411yescharacteristic
719C2×C8×C73C2411yescharacteristic
720C2×C8×C73C2411yescharacteristic
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73—21no—
725C4⋊C4×C73C2×D411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C4⋊C4×C73C2411yescharacteristic
728C4⋊C4×C73C2411yescharacteristic
729C4⋊C4×C73C2411yescharacteristic
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73C2×D411yescharacteristic
739C22⋊C4×C73C2×D411yescharacteristic
740C42×C73C2411yescharacteristic
741C23×C73—21no—
742C23×C73—21no—
743C23×C73—21no—
744C23×C73—42no—
745C23×C73—81no—
746C23×C73—81no—
747C23×C73C22×D411yescharacteristic
748C23×C73C22×D411yescharacteristic
749C22×D73—21no—
750C22×D73—24no—
751C22×D73—21no—
752C22×D73—21no—
753C22×D73—21no—
754C22×D73—42no—
755C22×D73—42no—
756C22×D73—42no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73—81no—
762C22×D73—81no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73—81no—
766C22×D73—81no—
767C22×D73—81no—
768C22×D73—81no—
769C22×D73—81no—
770C22×D73—81no—
771C22×D73C22×D411yescharacteristic
772C22×D73C22×D411yescharacteristic
773C22×D73C22×D411yescharacteristic
774Q8×C73—21no—
775Q8×C73—21no—
776Q8×C73—42no—
777D4×C73—21no—
778D4×C73—21no—
779D4×C73—21no—
780D4×C73—21no—
781D4×C73—21no—
782D4×C73—41no—
783D4×C73—42no—
784D4×C73—42no—
785D4×C73—81no—
786D4×C73—81no—
787D4×C73—81no—
788D4×C73H(5,𝔽2)12yes—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—21no—
793C2×C4×C73—21no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—21no—
797C2×C4×C73—21no—
798C2×C4×C73—42no—
799C2×C4×C73—42no—
800C2×C4×C73—81no—
801C2×C4×C73—81no—
802C2×C4×C73—81no—
803C2×C4×C73C22×D411yescharacteristic
804C2×C4×C73C22×D411yescharacteristic
805C2×C4×C73C22×D411yescharacteristic
806C2×C4×C73C22×D411yescharacteristic
807C2×C4×C73C2511yescharacteristic
808C22⋊D73—24no—
809C22⋊D73—41no—
810C22⋊D73—41no—
811C22⋊D73—41no—
812C22⋊D73—41no—
813C22⋊D73—41no—
814C22⋊D73—41no—
815C22⋊D73—42no—
816C22⋊D73—42no—
817C22⋊D73—42no—
818C22⋊D73—42no—
819C22⋊D73—42no—
820C22⋊D73—42no—
821C22⋊D73—81no—
822C22⋊D73—81no—
823C22⋊D73—81no—
824C22⋊D73—81no—
825C22⋊D73—81no—
826C22⋊D73—81no—
827C22⋊D73—81no—
828C22⋊D73—81no—
829C22⋊D73—81no—
830C22⋊D73—81no—
831C2×Dic73—21no—
832C2×Dic73—21no—
833C2×Dic73—21no—
834C2×Dic73—21no—
835C2×Dic73—42no—
836C2×Dic73—42no—
837C2×Dic73—42no—
838C2×Dic73C22×D411yescharacteristic
839C2×Dic73C22×D411yescharacteristic
840C2×Dic73C22×D411yescharacteristic
841C2×Dic73C22×D411yescharacteristic
842C2×Dic73C22×D411yescharacteristic
843D292—21no—
844D292—21no—
845D292—21no—
846D292—21no—
847D292—21no—
848D292—21no—
849D292—21no—
850D292—41no—
851D292—41no—
852D292—41no—
853D292—42no—
854D292—42no—
855D292—42no—
856D292—42no—
857D292—81no—
858D292—81no—
859D292—81no—
860D292—81no—
861D292—81no—
862D292—81no—
863D292H(5,𝔽2)12yes—
864C4×D73—21no—
865C4×D73—21no—
866C4×D73—21no—
867C4×D73—21no—
868C4×D73—21no—
869C4×D73—21no—
870C4×D73—41no—
871C4×D73—41no—
872C4×D73—42no—
873C4×D73—42no—
874C4×D73—42no—
875C4×D73—42no—
876C4×D73—81no—
877C4×D73—81no—
878C4×D73—81no—
879C4×D73—81no—
880C4×D73—81no—
881C4×D73—81no—
882Dic146—21no—
883Dic146—21no—
884Dic146—21no—
885Dic146—21no—
886Dic146—41no—
887Dic146—41no—
888C8×C73—21no—
889C8×C73—21no—
890C8×C73—21no—
891C8×C73—21no—
892#10596831—21no—
893#10596831—21no—
894#10596831—21no—
895#10596831—21no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—21no—
899C22×C73—21no—
900C22×C73—22no—
901C22×C73—21no—
902C22×C73—21no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—41no—
906C22×C73—41no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—162no—
912C22×C73C23×D411yescharacteristic
913C2×D73—21no—
914C2×D73—21no—
915C2×D73—21no—
916C2×D73—21no—
917C2×D73—21no—
918C2×D73—21no—
919C2×D73—21no—
920C2×D73—21no—
921C2×D73—21no—
922C2×D73—22no—
923C2×D73—41no—
924C2×D73—41no—
925C2×D73—41no—
926C2×D73—41no—
927C2×D73—41no—
928C2×D73—41no—
929C2×D73—41no—
930C2×D73—41no—
931C2×D73—41no—
932C2×D73—41no—
933C2×D73—41no—
934C2×D73—84no—
935C2×D73—162no—
936C2×D73—162no—
937C2×D73—162no—
938C2×D73—162no—
939C2×D73—162no—
940C4×C73—21no—
941C4×C73—21no—
942C4×C73—21no—
943C4×C73—21no—
944C4×C73—41no—
945C4×C73—41no—
946C4×C73—41no—
947C4×C73—41no—
948C4×C73—41no—
949C4×C73C2×H(5,𝔽2)11yescharacteristic
950C4×C73C2×H(5,𝔽2)11yescharacteristic
951Dic73—21no—
952Dic73—21no—
953Dic73—21no—
954Dic73—21no—
955Dic73—21no—
956Dic73—41no—
957Dic73—41no—
958Dic73—41no—
959Dic73—41no—
960#61669—731nomaximal, Sylow
961C2×C73—42no—
962C2×C73—41no—
963C2×C73—41no—
964C2×C73—81no—
965C2×C73—81no—
966C2×C73#348411yescharacteristic
967C2×C73#358511yescharacteristic
968C2×C73#358511yescharacteristic
969D73—41no—
970D73—41no—
971D73—41no—
972D73—42no—
973D73—81no—
974D73—81no—
975D73—81no—
976#3546—731no—
977#3496—731no—
978#3318—731no—
979#3318—731no—
980#3311—731no—
981#3311—731no—
982#3307—731no—
983#3307—731no—
984#3306—731no—
985#3306D7311yescharacteristic, complemented
986#3268—731no—
987#3268—731no—
988#3267—731no—
989#3267—731no—
990#3264—731no—
991#3264—731no—
992#3264—731no—
993#3264—731no—
994#3219—731no—
995#3214—731no—
996#3204—731no—
997#3204—731no—
998#3198—731no—
999#3198—731no—
1000#3114—731no—
1001#3109—731no—
1002#3012—731no—
1003#3012—731no—
1004#3008—731no—
1005#3008—731no—
1006#2980—731no—
1007C73#6166911yescharacteristic, complemented, Sylow
1008C2×H(5,𝔽2)—731no—
1009C2×H(5,𝔽2)—731no—
1010C2×AGL(1,ℤ/8)—731no—
1011C2×AGL(1,ℤ/8)—731no—
1012C2×AGL(1,ℤ/8)—731no—
1013C2×AGL(1,ℤ/8)—731no—
1014C2×#135—731no—
1015C2×#135—731no—
1016C22×D8—731no—
1017C22×D8—731no—
1018#560—1461no—
1019#560—1461no—
1020#556—731no—
1021#553—731no—
1022#553—731no—
1023#550—731no—
1024#550—1461no—
1025#547—731no—
1026#547—731no—
1027#547—1461no—
1028#547C2×D7311yescharacteristic, complemented
1029#546—731no—
1030#546—731no—
1031#546—731no—
1032#546—731no—
1033#546—731no—
1034#546—1461no—
1035#546—1461no—
1036#546—1461no—
1037#546C2×D7311yescharacteristic, complemented
1038D42—731no—
1039D42—731no—
1040D42—731no—
1041D42—1461no—
1042#542—1461no—
1043#538—1461no—
1044#538—1461no—
1045#537—731no—
1046#537—731no—
1047#537—731no—
1048#537—731no—
1049#535—731no—
1050#535—731no—
1051#535—1461no—
1052#534—1461no—
1053#534—1461no—
1054#532—731no—
1055#532—731no—
1056#532—731no—
1057#529—731no—
1058C2×#121—1461no—
1059C2×#121—1461no—
1060C2×C4×D4—731no—
1061#497—731no—
1062#496—731no—
1063#496—731no—
1064#496—731no—
1065#491—731no—
1066#490—731no—
1067#489—731no—
1068#489C2×D7311yescharacteristic, complemented
1069#485—731no—
1070#485—731no—
1071#483—731no—
1072#483—731no—
1073#483C2×D7311yescharacteristic, complemented
1074#482—731no—
1075#482—731no—
1076#481—731no—
1077#481—731no—
1078#481—731no—
1079#481C2×D7311yescharacteristic, complemented
1080#480—731no—
1081#478—731no—
1082#478—731no—
1083#476—731no—
1084#476C2×D7311yescharacteristic, complemented
1085#470—731no—
1086#470—731no—
1087#469—731no—
1088#469—731no—
1089#469—731no—
1090#469C2×D7311yescharacteristic, complemented
1091#468—731no—
1092#468—731no—
1093#466—731no—
1094#466—731no—
1095#465—731no—
1096#465—731no—
1097#465—731no—
1098#465—731no—
1099#465—731no—
1100#465C2×D7311yescharacteristic, complemented
1101#464—731no—
1102#464—731no—
1103#463—731no—
1104#463—731no—
1105#463—731no—
1106#463C2×D7311yescharacteristic, complemented
1107#461—731no—
1108#461—731no—
1109#459—731no—
1110#459—731no—
1111#459—731no—
1112#459—731no—
1113#452—731no—
1114#452—731no—
1115#452—731no—
1116#452—731no—
1117#452—731no—
1118#452—731no—
1119#450—731no—
1120#450—731no—
1121#450—731no—
1122#450—731no—
1123#450—731no—
1124#449—731no—
1125#449—731no—
1126#449—731no—
1127#449—731no—
1128#449—731no—
1129#449—731no—
1130#449—731no—
1131#449—731no—
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#449—731no—
1137#449C2×D7311yescharacteristic, complemented
1138#447—731no—
1139#447—731no—
1140#447—731no—
1141#447—731no—
1142#447—731no—
1143#447—731no—
1144#447—731no—
1145#447—731no—
1146#447—731no—
1147#447—731no—
1148#447C2×D7311yescharacteristic, complemented
1149#442—731no—
1150#442—731no—
1151#442—731no—
1152#442—731no—
1153#442—731no—
1154#442C2×D7311yescharacteristic, complemented
1155#440—731no—
1156#440—731no—
1157#435—731no—
1158#435—731no—
1159#435—731no—
1160#435—731no—
1161#435—731no—
1162#435—731no—
1163#435—731no—
1164#435C2×D7311yescharacteristic, complemented
1165#432—731no—
1166#432—731no—
1167#418—731no—
1168#418—731no—
1169#417—731no—
1170#417C2×D7311yescharacteristic, complemented
1171#416—731no—
1172#416—731no—
1173C2×#102—731no—
1174C2×#102C2×D7311yescharacteristic, complemented
1175#408—731no—
1176#408—731no—
1177#408—731no—
1178#408—731no—
1179H(5,𝔽2)—2922no—
1180H(5,𝔽2)—2922no—
1181H(5,𝔽2)—2922no—
1182H(5,𝔽2)—2922no—
1183C2×#41—21no—
1184C2×#41—731no—
1185C2×#41—731no—
1186C2×#41—731no—
1187C2×#41—731no—
1188C2×#41—731no—
1189C2×#41—731no—
1190C2×#41—731no—
1191C2×#41—731no—
1192C2×#41—731no—
1193C2×#41—1461no—
1194C2×#41—1461no—
1195C2×#41—1461no—
1196C2×#41C22×D7311yescharacteristic
1197C22×D4—731no—
1198C22×D4—731no—
1199C22×D4—731no—
1200C22×D4—731no—
1201C22×D4—731no—
1202C22×D4—731no—
1203C22×D4—1461no—
1204C22×D4—1461no—
1205C22×D4—1461no—
1206C22×D4—1461no—
1207C22×D4—1461no—
1208C22×D4—1461no—
1209C22×D4—1461no—
1210C22×D4—1461no—
1211C22×D4—1461no—
1212C22×D4C22×D7311yescharacteristic
1213C23×C4—1461no—
1214AGL(1,ℤ/8)—2922no—
1215AGL(1,ℤ/8)—2922no—
1216AGL(1,ℤ/8)—2922no—
1217AGL(1,ℤ/8)—2922no—
1218#135—2922no—
1219#135—2922no—
1220C2×Q16—731no—
1221C2×Q16—731no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16—731no—
1227C2×SD16—731no—
1228C2×SD16—731no—
1229C2×SD16—731no—
1230C2×SD16—731no—
1231C2×SD16C22×D7311yescharacteristic
1232C2×D8—2922no—
1233C2×D8—2922no—
1234C2×D8—731no—
1235C2×D8—731no—
1236C2×D8—731no—
1237C2×D8—731no—
1238C2×D8—731no—
1239C2×D8—731no—
1240C2×D8—731no—
1241C2×D8—731no—
1242C2×D8—731no—
1243C2×D8—731no—
1244C2×D8C22×D7311yescharacteristic
1245C2×D8C22×D7311yescharacteristic
1246C2×M16—731no—
1247C2×M16—731no—
1248C2×M16—731no—
1249C2×M16C22×D7311yescharacteristic
1250C22×C8—731no—
1251C22×C8—731no—
1252C22×C8—731no—
1253C22×C8C22×D7311yescharacteristic
1254C4⋊Q8—731no—
1255C4⋊Q8—731no—
1256C4⋊Q8C22×D7311yescharacteristic
1257#127—731no—
1258#127—731no—
1259#127—731no—
1260#127—1461no—
1261#127—1461no—
1262#127—1461no—
1263#126—1461no—
1264#126—1461no—
1265#126—1461no—
1266#126—1461no—
1267#126—1461no—
1268#125—731no—
1269#124—731no—
1270#124—731no—
1271#124—731no—
1272#124—731no—
1273#124—1461no—
1274#124—1461no—
1275#124—1461no—
1276#124—1461no—
1277#124C22×D7311yescharacteristic
1278#123—21no—
1279#123—21no—
1280#123—21no—
1281#123—1461no—
1282#123—1461no—
1283#123—1461no—
1284#123—1461no—
1285#123—1461no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290#123—1461no—
1291#123—1461no—
1292#123—1461no—
1293C22⋊Q8—21no—
1294C22⋊Q8—731no—
1295C22⋊Q8—731no—
1296C22⋊Q8—731no—
1297C22⋊Q8—731no—
1298C22⋊Q8—731no—
1299C22⋊Q8—731no—
1300C22⋊Q8—1461no—
1301C22⋊Q8—1461no—
1302C22⋊Q8—1461no—
1303C22⋊Q8—1461no—
1304C22⋊Q8C22×D7311yescharacteristic
1305#121—21no—
1306#121—731no—
1307#121—731no—
1308#121—731no—
1309#121—731no—
1310#121—731no—
1311#121—731no—
1312#121—731no—
1313#121—731no—
1314#121—731no—
1315#121—731no—
1316#121—731no—
1317#121—731no—
1318#121—731no—
1319#121—731no—
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#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121—1461no—
1348#121—1461no—
1349#121C22×D7311yescharacteristic
1350#121C22×D7311yescharacteristic
1351#121C22×D7311yescharacteristic
1352#120—21no—
1353#120—1461no—
1354#120—1461no—
1355#120—1461no—
1356#120—1461no—
1357#120—1461no—
1358#120—1461no—
1359#120—1461no—
1360#120—1461no—
1361#120—1461no—
1362#120—1461no—
1363#120—1461no—
1364#120—1461no—
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368C4×Q8—731no—
1369C4×Q8—1461no—
1370C4×D4—731no—
1371C4×D4—731no—
1372C4×D4—731no—
1373C4×D4—731no—
1374C4×D4—731no—
1375C4×D4—731no—
1376C4×D4—731no—
1377C4×D4—731no—
1378C4×D4—1461no—
1379C4×D4—1461no—
1380C4×D4—1461no—
1381C4×D4—1461no—
1382C4×D4—1461no—
1383C4×D4—1461no—
1384C4×D4—1461no—
1385C4×D4—1461no—
1386C4×D4—1461no—
1387C4×D4C22×D7311yescharacteristic
1388C4×D4C22×D7311yescharacteristic
1389C4×D4C22×D7311yescharacteristic
1390#117—731no—
1391#117—731no—
1392#117—1461no—
1393C2×C4⋊C4—731no—
1394C2×C4⋊C4—1461no—
1395C2×C4⋊C4—1461no—
1396C2×C4⋊C4C22×D7311yescharacteristic
1397C2×C4⋊C4C22×D7311yescharacteristic
1398C2×C22⋊C4—21no—
1399C2×C22⋊C4—1461no—
1400C2×C22⋊C4—1461no—
1401C2×C22⋊C4—1461no—
1402C2×C22⋊C4—1461no—
1403C2×C22⋊C4—1461no—
1404C2×C22⋊C4—1461no—
1405C2×C42—731no—
1406#107—731no—
1407#107—731no—
1408#106—731no—
1409#106—731no—
1410#106—731no—
1411#106C22×D7311yescharacteristic
1412#106C22×D7311yescharacteristic
1413#106C22×D7311yescharacteristic
1414C4⋊C8—731no—
1415C4⋊C8—731no—
1416C4⋊C8—731no—
1417C4⋊C8C22×D7311yescharacteristic
1418#103—731no—
1419#103—731no—
1420#103—731no—
1421#103—731no—
1422#103—731no—
1423#103—731no—
1424#103—731no—
1425#103C22×D7311yescharacteristic
1426#103C22×D7311yescharacteristic
1427#103C22×D7311yescharacteristic
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102—731no—
1438#102—731no—
1439#102—731no—
1440#102—731no—
1441#102—731no—
1442#102—731no—
1443#102C22×D7311yescharacteristic
1444#102C22×D7311yescharacteristic
1445#102C22×D7311yescharacteristic
1446#102C22×D7311yescharacteristic
1447#102C22×D7311yescharacteristic
1448#102C22×D7311yescharacteristic
1449#102C22×D7311yescharacteristic
1450C22⋊C8—731no—
1451C22⋊C8—731no—
1452C22⋊C8—731no—
1453C22⋊C8—731no—
1454C22⋊C8—731no—
1455C22⋊C8—731no—
1456C22⋊C8—731no—
1457C22⋊C8—731no—
1458C22⋊C8—731no—
1459C22⋊C8—731no—
1460C22⋊C8C22×D7311yescharacteristic
1461C22⋊C8C22×D7311yescharacteristic
1462#97—731no—
1463#97—731no—
1464#97—731no—
1465#97C22×D7311yescharacteristic
1466C24—21no—
1467C24—1461no—
1468C24—1461no—
1469C24—1461no—
1470C24—1461no—
1471C24—1461no—
1472C24—1461no—
1473#41—22no—
1474#41—41no—
1475#41—82no—
1476#41—2921no—
1477#41—2921no—
1478#41—2921no—
1479#41—2921no—
1480#41—2921no—
1481#41—2921no—
1482#41—2921no—
1483#41—2921no—
1484#41—2921no—
1485#41—2924no—
1486#41—2924no—
1487#41—2921no—
1488#41—2921no—
1489#41—2921no—
1490#41—2921no—
1491#41—2921no—
1492#41—2921no—
1493#41—5842no—
1494#41—1462no—
1495#41—1462no—
1496#41—1462no—
1497C2×Q8—21no—
1498C2×Q8—731no—
1499C2×Q8—731no—
1500C2×Q8—731no—
1501C2×Q8—731no—
1502C2×Q8C23×D7311yescharacteristic
1503C2×D4—22no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—41no—
1510C2×D4—2921no—
1511C2×D4—2924no—
1512C2×D4—2924no—
1513C2×D4—2924no—
1514C2×D4—2924no—
1515C2×D4—2924no—
1516C2×D4—2924no—
1517C2×D4—2921no—
1518C2×D4—2921no—
1519C2×D4—2921no—
1520C2×D4—2921no—
1521C2×D4—2921no—
1522C2×D4—2921no—
1523C2×D4—5842no—
1524C2×D4—5842no—
1525C2×D4—5842no—
1526C2×D4—731no—
1527C2×D4—731no—
1528C2×D4—731no—
1529C2×D4—731no—
1530C2×D4—731no—
1531C2×D4—731no—
1532C2×D4—731no—
1533C2×D4—731no—
1534C2×D4—731no—
1535C2×D4—731no—
1536C2×D4—731no—
1537C2×D4—731no—
1538C2×D4—731no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1462no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4—1461no—
1547C2×D4—1461no—
1548C2×D4—1461no—
1549C2×D4—1461no—
1550C2×D4—1461no—
1551C2×D4—1461no—
1552C2×D4—1461no—
1553C2×D4—1461no—
1554C2×D4—1462no—
1555C2×D4—1462no—
1556C2×D4—1461no—
1557C2×D4—1461no—
1558C2×D4—1461no—
1559C2×D4—1462no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1461no—
1563C2×D4—1461no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4—1461no—
1567C2×D4—1462no—
1568C2×D4—1461no—
1569C2×D4—1461no—
1570C2×D4—1461no—
1571C2×D4D4×D7311yescharacteristic
1572C2×D4C23×D7311yescharacteristic
1573C2×D4C23×D7311yescharacteristic
1574C2×D4C23×D7311yescharacteristic
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—21no—
1580C22×C4—5842no—
1581C22×C4—731no—
1582C22×C4—731no—
1583C22×C4—731no—
1584C22×C4—731no—
1585C22×C4—731no—
1586C22×C4—1461no—
1587C22×C4—1461no—
1588C22×C4—1461no—
1589C22×C4—1461no—
1590C22×C4—1461no—
1591C22×C4—1461no—
1592C22×C4—1461no—
1593C22×C4—1461no—
1594C22×C4—1461no—
1595C22×C4—1461no—
1596C22×C4—1461no—
1597C22×C4—1461no—
1598C22×C4—1461no—
1599C22×C4C23×D7311yescharacteristic
1600C22×C4C23×D7311yescharacteristic
1601Q16—2921no—
1602Q16—2921no—
1603SD16—41no—
1604SD16—2921no—
1605SD16—2921no—
1606SD16—2921no—
1607SD16—2921no—
1608SD16—2921no—
1609SD16—2921no—
1610SD16—2921no—
1611SD16—1462no—
1612SD16—1462no—
1613D8—22no—
1614D8—41no—
1615D8—2921no—
1616D8—2921no—
1617D8—2921no—
1618D8—2921no—
1619D8—2921no—
1620D8—1462no—
1621D8—1462no—
1622D8—1462no—
1623D8—1462no—
1624D8—1462no—
1625M16—41no—
1626M16—2921no—
1627M16—2921no—
1628M16—2921no—
1629C2×C8—41no—
1630C2×C8—2921no—
1631C2×C8—2921no—
1632C2×C8—2921no—
1633C2×C8—731no—
1634C2×C8—731no—
1635C2×C8—731no—
1636C2×C8—731no—
1637C2×C8C23×D7311yescharacteristic
1638C2×C8C23×D7311yescharacteristic
1639C2×C8C23×D7311yescharacteristic
1640C2×C8C23×D7311yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—731no—
1646C4⋊C4—731no—
1647C4⋊C4—731no—
1648C4⋊C4—731no—
1649C4⋊C4—731no—
1650C4⋊C4—1461no—
1651C4⋊C4—1461no—
1652C4⋊C4—1461no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4—1461no—
1658C4⋊C4—1461no—
1659C4⋊C4—1461no—
1660C4⋊C4—1461no—
1661C4⋊C4—1461no—
1662C4⋊C4D4×D7311yescharacteristic
1663C4⋊C4C23×D7311yescharacteristic
1664C4⋊C4C23×D7311yescharacteristic
1665C4⋊C4C23×D7311yescharacteristic
1666C4⋊C4C23×D7311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—731no—
1676C22⋊C4—731no—
1677C22⋊C4—731no—
1678C22⋊C4—731no—
1679C22⋊C4—731no—
1680C22⋊C4—731no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4D4×D7311yescharacteristic
1709C22⋊C4D4×D7311yescharacteristic
1710C42—731no—
1711C42—731no—
1712C42—731no—
1713C42—1461no—
1714C42—1461no—
1715C42—1461no—
1716C42C23×D7311yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—42no—
1721C23—81no—
1722C23—81no—
1723C23—2922no—
1724C23—2922no—
1725C23—2922no—
1726C23—5841no—
1727C23—5841no—
1728C23—5841no—
1729C23—5841no—
1730C23—5841no—
1731C23—5841no—
1732C23—5841no—
1733C23—5841no—
1734C23—5841no—
1735C23—5841no—
1736C23—5841no—
1737C23—5841no—
1738C23—5841no—
1739C23—5841no—
1740C23—731no—
1741C23—731no—
1742C23—731no—
1743C23—1464no—
1744C23—1461no—
1745C23—1461no—
1746C23—1461no—
1747C23—1461no—
1748C23C2×D4×D7311yescharacteristic
1749C23C2×D4×D7311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—42no—
1753Q8—2921no—
1754Q8—2921no—
1755Q8—1461no—
1756Q8—1461no—
1757Q8—1461no—
1758Q8—1461no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—41no—
1765D4—42no—
1766D4—42no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—2922no—
1771D4—2922no—
1772D4—2921no—
1773D4—2921no—
1774D4—2921no—
1775D4—2922no—
1776D4—2922no—
1777D4—2922no—
1778D4—2922no—
1779D4—2922no—
1780D4—2922no—
1781D4—2921no—
1782D4—2921no—
1783D4—2921no—
1784D4—2921no—
1785D4—2921no—
1786D4—2921no—
1787D4—2922no—
1788D4—2922no—
1789D4—5841no—
1790D4—5841no—
1791D4—5841no—
1792D4—5841no—
1793D4—5841no—
1794D4—5841no—
1795D4—5841no—
1796D4—5841no—
1797D4—5841no—
1798D4—5841no—
1799D4—5841no—
1800D4—5841no—
1801D4—5841no—
1802D4—5841no—
1803D4—5841no—
1804D4—5841no—
1805D4—732no—
1806D4—1464no—
1807D4—1461no—
1808D4—1461no—
1809D4—1461no—
1810D4—1461no—
1811D4—1461no—
1812D4—1461no—
1813D4—1461no—
1814D4#1455663712yes—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—42no—
1825C2×C4—42no—
1826C2×C4—81no—
1827C2×C4—81no—
1828C2×C4—81no—
1829C2×C4—2922no—
1830C2×C4—2921no—
1831C2×C4—2921no—
1832C2×C4—2922no—
1833C2×C4—2922no—
1834C2×C4—2922no—
1835C2×C4—2922no—
1836C2×C4—2922no—
1837C2×C4—2922no—
1838C2×C4—5841no—
1839C2×C4—5841no—
1840C2×C4—5841no—
1841C2×C4—5841no—
1842C2×C4—5841no—
1843C2×C4—5841no—
1844C2×C4—731no—
1845C2×C4—731no—
1846C2×C4—731no—
1847C2×C4—731no—
1848C2×C4—731no—
1849C2×C4—1461no—
1850C2×C4—1461no—
1851C2×C4—1461no—
1852C2×C4—1461no—
1853C2×C4—1461no—
1854C2×C4—1461no—
1855C2×C4—1461no—
1856C2×C4—1461no—
1857C2×C4—1461no—
1858C2×C4—1461no—
1859C2×C4C2×D4×D7311yescharacteristic
1860C2×C4C2×D4×D7311yescharacteristic
1861C2×C4C2×D4×D7311yescharacteristic
1862C2×C4C2×D4×D7311yescharacteristic
1863C2×C4C24×D7311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1461no—
1869C8—1461no—
1870C8—1461no—
1871C8—1461no—
1872C22—21no—
1873C22—21no—
1874C22—22no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—162no—
1888C22—2921no—
1889C22—2921no—
1890C22—2921no—
1891C22—2921no—
1892C22—2921no—
1893C22—2921no—
1894C22—2921no—
1895C22—2921no—
1896C22—2921no—
1897C22—2921no—
1898C22—2921no—
1899C22—5844no—
1900C22—11682no—
1901C22—11682no—
1902C22—11682no—
1903C22—11682no—
1904C22—11682no—
1905C22—1462no—
1906C22—1461no—
1907C22—1461no—
1908C22—1461no—
1909C22—1461no—
1910C22—1461no—
1911C22—1461no—
1912C22—1461no—
1913C22—1461no—
1914C22—1461no—
1915C22C22×D4×D7311yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—2921no—
1926C4—2921no—
1927C4—2921no—
1928C4—2921no—
1929C4—1461no—
1930C4—1461no—
1931C4—1461no—
1932C4—1461no—
1933C4—1461no—
1934C4H(5,𝔽2)×D7311yescharacteristic
1935C4C2×#1455663711yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—42no—
1939C2—81no—
1940C2—81no—
1941C2—2922no—
1942C2—2921no—
1943C2—2921no—
1944C2—2921no—
1945C2—5841no—
1946C2—5841no—
1947C2—5841no—
1948C2#2262356111yescharacteristic
1949C2#2262470711yescharacteristic
1950C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3306C2
socleC22×C73C23×D4
hypercenter#3306D73
hypocenterC73#61669
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #22624304C2semidirect
2. #22623691C2semidirect
3. #22622070C2semidirect
4. #22622068C2semidirect
5. #22621966C2semidirect
6. #22621964C2semidirect
7. #22621910C2semidirect
8. #22621908C2semidirect
9. #22621886C2semidirect
10. #22621476C2semidirect
11. #22621467C2semidirect
12. #22621453C2semidirect
13. #22621449C2semidirect
14. #22621418C2semidirect
15. #22621417C2semidirect
16. #22621413C2semidirect
17. #22621409C2semidirect
18. #22620967C2semidirect
19. #22620927C2semidirect
20. #22620844C2semidirect
21. #22620841C2semidirect
22. #22620786C2semidirect
23. #22620778C2semidirect
24. #22620067C2semidirect
25. #22620024C2semidirect
26. #22619240C2semidirect
27. #22619237C2semidirect
28. #22619196C2semidirect
29. #22619194C2semidirect
30. #22618999C2semidirect
31. C73×#3306C2semidirect
32. C2×#14556637C22semidirect
33. C2×#14556636C22semidirect
34. C2×#14556619C22semidirect
35. C2×#14556618C22semidirect
36. C2×#14556617C22semidirect
37. C2×#14556615C22semidirect
38. C2×#14556613C22semidirect
39. C2×#14556611C22semidirect
40. C2×D8×D73C22semidirect
41. C2×D8×D73C22semidirect
44. #17989311C22semidirect
45. #17989285C22semidirect
46. #17989285C22semidirect
47. #17989258C22semidirect
49. #17989239C22semidirect
50. #17989236C22semidirect
52. #17989234C22semidirect
53. #17989234C22semidirect
54. #17989233C22semidirect
60. D4×D292C22semidirect
61. #17989221C22semidirect
62. D4×C22⋊D73C22semidirect
67. #17989168C22semidirect
68. #17989168C22semidirect
69. #17989167C22semidirect
70. #17989166C22semidirect
71. #17989153C22semidirect
72. #17989153C22semidirect
76. #17989138C22semidirect
77. #17989136C22semidirect
79. #17989119C22semidirect
82. C4×D4×D73C22semidirect
83. #17988978C22semidirect
84. #17988977C22semidirect
85. #17988976C22semidirect
86. #17988975C22semidirect
87. #17988954C22semidirect
88. #17988950C22semidirect
89. #17988949C22semidirect
90. #17988931C22semidirect
91. #17988927C22semidirect
92. #17988919C22semidirect
93. #17988917C22semidirect
94. #17988913C22semidirect
95. #17988909C22semidirect
96. #17988907C22semidirect
97. #17988907C22semidirect
98. #17988905C22semidirect
99. #17988899C22semidirect
100. #17988886C22semidirect
101. #17988885C22semidirect
102. #17988874C22semidirect
103. #17988846C22semidirect
104. #17988844C22semidirect
105. #17988841C22semidirect
106. #17988839C22semidirect
107. #17988838C22semidirect
108. #17988835C22semidirect
109. #17988833C22semidirect
110. #17988823C22semidirect
111. #17988821C22semidirect
112. #17988819C22semidirect
113. #17988817C22semidirect
114. #17988817C22semidirect
115. #17988815C22semidirect
116. #17988814C22semidirect
117. #17988810C22semidirect
118. #17988806C22semidirect
119. #17988802C22semidirect
120. #17988801C22semidirect
121. #17988800C22semidirect
122. #17988791C22semidirect
123. #17988791C22semidirect
124. #17988783C22semidirect
125. #17988782C22semidirect
126. #17988781C22semidirect
127. #17988781C22semidirect
128. #17988752C22semidirect
129. #17988752C22semidirect
130. #17988751C22semidirect
131. #17988750C22semidirect
132. #17988750C22semidirect
133. #17988747C22semidirect
134. #17988739C22semidirect
135. #17988739C22semidirect
136. #17988739C22semidirect
137. #17988739C22semidirect
138. #17988736C22semidirect
139. #17988735C22semidirect
140. #17988735C22semidirect
141. #17988735C22semidirect
142. #17988734C22semidirect
143. #17988734C22semidirect
144. #17988733C22semidirect
145. #17988733C22semidirect
146. #17988733C22semidirect
147. #17988732C22semidirect
148. #17988731C22semidirect
149. #17988730C22semidirect
150. #17988730C22semidirect
151. #17988729C22semidirect
152. #17988723C22semidirect
153. #17988722C22semidirect
154. #17988722C22semidirect
155. #17988722C22semidirect
156. #17988722C22semidirect
157. #17988722C22semidirect
158. #17988721C22semidirect
159. #17988720C22semidirect
161. #17988719C22semidirect
162. #17988698C22semidirect
163. #17988698C22semidirect
164. #17988697C22semidirect
165. #17988696C22semidirect
166. #17988696C22semidirect
167. #17988689C22semidirect
168. #17988687C22semidirect
169. #17988661C22semidirect
170. #17988660C22semidirect
171. #17988659C22semidirect
172. #17988658C22semidirect
173. #17988657C22semidirect
174. #17988656C22semidirect
175. #17988655C22semidirect
176. #17988643C22semidirect
177. #17988642C22semidirect
178. #17988590C22semidirect
179. #17988590C22semidirect
180. #17988586C22semidirect
181. #17988582C22semidirect
182. #17988580C22semidirect
183. C2×#14556511C22semidirect
184. #17988555C22semidirect
185. #17988553C22semidirect
186. #17988552C22semidirect
187. #17988552C22semidirect
188. #547×C73C22semidirect
189. #546×C73C22semidirect
190. #489×C73C22semidirect
191. #483×C73C22semidirect
192. #481×C73C22semidirect
193. #476×C73C22semidirect
194. #469×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #447×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. C2×#102×C73C22semidirect
985. #3306D73semidirect
1007. C73#61669semidirect
1028. #547C2×D73semidirect
1037. #546C2×D73semidirect
1068. #489C2×D73semidirect
1073. #483C2×D73semidirect
1079. #481C2×D73semidirect
1084. #476C2×D73semidirect
1090. #469C2×D73semidirect
1100. #465C2×D73semidirect
1106. #463C2×D73semidirect
1137. #449C2×D73semidirect
1148. #447C2×D73semidirect
1154. #442C2×D73semidirect
1164. #435C2×D73semidirect
1170. #417C2×D73semidirect
1174. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243042
#226236912
#226220702
#226220682
#226219662
#226219642
#226219102
#226219082
#226218862
#226214762
#226214672
#226214532
#226214492
#226214182
#226214172
#226214132
#226214092
#226209672
#226209272
#226208442
#226208412
#226207862
#226207782
#226200672
#226200242
#226192402
#226192372
#226191962
#226191942
#226189992
C73×#33062
#6166973