Finite Group Databasebeta

← #33972534

Subgroups — #33972534

Order 18688.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624226C211yesmaximal, characteristic, complemented
2#22623595C211yesmaximal, characteristic, complemented
3#22622264C211yesmaximal, characteristic, complemented
4#22622194C211yesmaximal, characteristic, complemented
5#22622160C211yesmaximal, characteristic, complemented
6#22622130C211yesmaximal, characteristic, complemented
7#22622018C211yesmaximal, characteristic, complemented
8#22621995C211yesmaximal, characteristic, complemented
9#22621958C211yesmaximal, characteristic, complemented
10#22621935C211yesmaximal, characteristic, complemented
11#22621595C211yesmaximal, characteristic, complemented
12#22621588C211yesmaximal, characteristic, complemented
13#22621559C211yesmaximal, characteristic, complemented
14#22621528C211yesmaximal, characteristic, complemented
15#22621513C211yesmaximal, characteristic, complemented
16#22621483C211yesmaximal, characteristic, complemented
17#22621434C211yesmaximal, characteristic, complemented
18#22621419C211yesmaximal, characteristic, complemented
19#22621031C211yesmaximal, characteristic, complemented
20#22621001C211yesmaximal, characteristic, complemented
21#22620828C211yesmaximal, characteristic, complemented
22#22620750C211yesmaximal, characteristic, complemented
23#22620736C211yesmaximal, characteristic, complemented
24#22620196C211yesmaximal, characteristic, complemented
25#22620148C211yesmaximal, characteristic, complemented
26#22619238C211yesmaximal, characteristic, complemented
27#22619206C211yesmaximal, characteristic, complemented
28#22619188C211yesmaximal, characteristic, complemented
29#22619174C211yesmaximal, characteristic, complemented
30#22618989C211yesmaximal, characteristic, complemented
31C73×#3201C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556623C2211yescharacteristic, complemented
36C2×#14556622C2211yescharacteristic, complemented
37C2×#14556620C2211yescharacteristic, complemented
38C2×#14556619C2211yescharacteristic, complemented
39C2×#14556618C2211yescharacteristic, complemented
40C2×#14556613C2211yescharacteristic, complemented
41C22×#11924015C2211yescharacteristic, complemented
42#17989336—21no—
43#17989334—21no—
44#17989305C2211yescharacteristic, complemented
45#17989298—21no—
46#17989295C2211yescharacteristic, complemented
47#17989282—21no—
48#17989281C2211yescharacteristic, complemented
49#17989279C2211yescharacteristic, complemented
50#17989255C2211yescharacteristic
51#17989255C2211yescharacteristic
52Q8×C22⋊D73C2211yescharacteristic, complemented
53#17989248C2211yescharacteristic, complemented
54#17989247C2211yescharacteristic
55#17989247C2211yescharacteristic
56#17989247C2211yescharacteristic, complemented
57#17989239C2211yescharacteristic, complemented
58#17989228C2211yescharacteristic
59#17989228C2211yescharacteristic
60#17989226—21no—
61#17989226—21no—
62#17989221—21no—
63#17989221—21no—
64#17989221C2211yescharacteristic
65#17989221C2211yescharacteristic
66#17989210C2211yescharacteristic, complemented
67#17989201—21no—
68#17989197C2211yescharacteristic, complemented
69#17989180—21no—
70#17989173—21no—
71#17989171—21no—
72#17989167—21no—
73#17989165C2211yescharacteristic, complemented
74#17989153—21no—
75#17989151C2211yescharacteristic
76#17989100—21no—
77#17989100C2211yescharacteristic, complemented
78#17989094C2211yescharacteristic
79C22⋊Q8×D73C2211yescharacteristic, complemented
80C2×#14556566C2211yescharacteristic
81#121×D73—21no—
82#17989068C2211yescharacteristic
83#17988980C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988972C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988948C2211yescharacteristic, complemented
89#17988943C2211yescharacteristic, complemented
90#17988932C2211yescharacteristic, complemented
91#17988922C2211yescharacteristic, complemented
92#17988920C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988900C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988897C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988841C2211yescharacteristic, complemented
104#17988841C2211yescharacteristic, complemented
105#17988836C2211yescharacteristic, complemented
106#17988836C2211yescharacteristic, complemented
107#17988836C2211yescharacteristic, complemented
108#17988836C2211yescharacteristic, complemented
109#17988835C2211yescharacteristic, complemented
110#17988834C2211yescharacteristic, complemented
111#17988834C2211yescharacteristic, complemented
112#17988831C2211yescharacteristic, complemented
113#17988826C2211yescharacteristic, complemented
114#17988821C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988796C2211yescharacteristic, complemented
122#17988791C2211yescharacteristic, complemented
123#17988786C2211yescharacteristic, complemented
124#17988785C2211yescharacteristic, complemented
125#17988785C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988751C2211yescharacteristic
128#17988751C2211yescharacteristic, complemented
129#17988749C2211yescharacteristic, complemented
130#17988748C2211yescharacteristic, complemented
131#17988747C2211yescharacteristic
132#17988747C2211yescharacteristic
133#17988747C2211yescharacteristic, complemented
134#17988747C2211yescharacteristic, complemented
135#17988747C2211yescharacteristic, complemented
136#17988746C2211yescharacteristic, complemented
137#17988744C2211yescharacteristic, complemented
138#17988741C2211yescharacteristic, complemented
139#17988740C2211yescharacteristic, complemented
140#17988740C2211yescharacteristic, complemented
141#17988739C2211yescharacteristic, complemented
142#17988737C2211yescharacteristic, complemented
143#17988737C2211yescharacteristic, complemented
144#17988737C2211yescharacteristic, complemented
145#17988737C2211yescharacteristic, complemented
146#17988736C2211yescharacteristic, complemented
147#17988735C2211yescharacteristic, complemented
148#17988735C2211yescharacteristic, complemented
149#17988735C2211yescharacteristic, complemented
150#17988734C2211yescharacteristic
151#17988734C2211yescharacteristic, complemented
152#17988733C2211yescharacteristic, complemented
153#17988732C2211yescharacteristic, complemented
154#17988730C2211yescharacteristic, complemented
155#17988727C2211yescharacteristic, complemented
156#17988727C2211yescharacteristic, complemented
157#17988723C2211yescharacteristic, complemented
158#17988723C2211yescharacteristic, complemented
159#17988693C2211yescharacteristic, complemented
160#17988690C2211yescharacteristic, complemented
161#17988690C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic, complemented
163#17988679C2211yescharacteristic, complemented
164#17988679C2211yescharacteristic, complemented
165#17988674C2211yescharacteristic, complemented
166#17988669C2211yescharacteristic, complemented
167#17988663C2211yescharacteristic, complemented
168#17988663C2211yescharacteristic, complemented
169#17988662C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
175#17988645C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988594C2211yescharacteristic, complemented
178#17988591C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988589C2211yescharacteristic, complemented
181#17988587C2211yescharacteristic, complemented
182#17988585C2211yescharacteristic, complemented
183#17988581C2211yescharacteristic, complemented
184C2×#14556513C2211yescharacteristic, complemented
185#17988554C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187#17988549C2211yescharacteristic, complemented
188#537×C73C2211yescharacteristic
189#536×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#467×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#452×C73C2211yescharacteristic, complemented
200#451×C73C2211yescharacteristic, complemented
201#448×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205C2×#11924029—21no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924027—21no—
214C2×#11924027C2311yescharacteristic
215#41×D73—42no—
216#41×D73—42no—
217C2×Q8×D73C2311yescharacteristic
218C2×Q8×D73C2311yescharacteristic
219C22×D292—21no—
220C22×D292C2311yescharacteristic
221C22×D292C2311yescharacteristic
222C22×D292C2311yescharacteristic
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73—21no—
229C2×D4×D73C2311yescharacteristic
230C22×C4×D73—21no—
231C22×C4×D73C2311yescharacteristic
232#14556623—42no—
233#14556623—42no—
234#14556622—42no—
235#14556620—42no—
236#14556619—42no—
237#14556618—42no—
238#14556613—42no—
239C2×Dic292C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924015—42no—
249C2×#11924015C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252C2×#11924015C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254C2×#11924015C2311yescharacteristic
255C2×#11924015C2311yescharacteristic
256C2×D584C2311yescharacteristic
257C2×D584C2311yescharacteristic
258C2×D584C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924012C2311yescharacteristic
261C2×#11924011C2311yescharacteristic
262C2×#11924011C2311yescharacteristic
263C2×#11924011C2311yescharacteristic
264C2×#11924011C2311yescharacteristic
265C22×#10596831C2311yescharacteristic
266#14556590C2311yescharacteristic
267#14556589—21no—
268#14556589C2311yescharacteristic
269#14556587—21no—
270#14556587—21no—
271#14556587C2311yescharacteristic
272#14556587C2311yescharacteristic
273#14556586—21no—
274#14556586—21no—
275#14556585—21no—
276#14556585—21no—
277#14556584—21no—
278#14556584—21no—
279#14556584—21no—
280#14556582—21no—
281#14556582—21no—
282#14556582C2311yescharacteristic
283#14556581—21no—
284#14556581—21no—
285#14556580—21no—
286#14556580C2311yescharacteristic
287#14556580C2311yescharacteristic
288#14556580C2311yescharacteristic
289#14556577—21no—
290#14556577—21no—
291#14556577—21no—
292#14556577—21no—
293#14556577—21no—
294#14556576—21no—
295#14556576—21no—
296#14556576—21no—
297#14556576—21no—
298#14556575—21no—
299#14556573—21no—
300#14556573—21no—
301#14556573—21no—
302#14556572D411yescharacteristic
303#14556572D411yescharacteristic
304#14556571—21no—
305#14556571—21no—
306#14556571C2311yescharacteristic
307#14556570—21no—
308#14556570C2311yescharacteristic
309#14556570C2311yescharacteristic
310#14556569—21no—
311#14556569—21no—
312#14556569—21no—
313#14556569—21no—
314#14556568—21no—
315#14556568—21no—
316#14556567—21no—
317#14556567—21no—
318#14556567—21no—
319#14556567D411yescharacteristic
320#14556567D411yescharacteristic
321#14556567C2311yescharacteristic
322#14556567C2311yescharacteristic
323#14556566—21no—
324#14556566—21no—
325#14556566—21no—
326#14556566—21no—
327#14556566C2311yescharacteristic
328#14556566C2311yescharacteristic
329#14556566C2311yescharacteristic
330#14556566C2311yescharacteristic
331#14556566C2311yescharacteristic
332#14556565—21no—
333#14556565—21no—
334#14556565—21no—
335#14556565C2311yescharacteristic
336#14556565C2311yescharacteristic
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#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556563—21no—
350#14556562—21no—
351#14556562D411yescharacteristic
352#14556562D411yescharacteristic
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559D411yescharacteristic
363#14556559D411yescharacteristic
364Q8×Dic73C2311yescharacteristic
365Q8×Dic73C2311yescharacteristic
366C4×Dic146—21no—
367#14556556C2311yescharacteristic
368#14556556C2311yescharacteristic
369#14556556C2311yescharacteristic
370C4×D292—21no—
371#14556553—21no—
372#14556553—21no—
373#14556553—21no—
374#14556553—21no—
375#14556553C2311yescharacteristic
376#14556553C2311yescharacteristic
377#14556553C2311yescharacteristic
378C4×C22⋊D73—21no—
379C4×C22⋊D73—21no—
380C4×C22⋊D73—21no—
381C4×C22⋊D73—21no—
382C4×C22⋊D73C2311yescharacteristic
383C4×C22⋊D73C2311yescharacteristic
384C4×C22⋊D73C2311yescharacteristic
385C4×C22⋊D73C2311yescharacteristic
386#14556551—21no—
387#14556551—21no—
388#14556551—21no—
389#14556551—21no—
390#14556550C2311yescharacteristic
391#14556549—21no—
392#14556549C2311yescharacteristic
393#14556547—21no—
394C2×C4⋊Dic73C2311yescharacteristic
395C4⋊C4×D73—21no—
396C4⋊C4×D73—21no—
397C4⋊C4×D73—21no—
398C4⋊C4×D73C2311yescharacteristic
399C2×#11924005—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556501C2311yescharacteristic
444#14556501C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C22×Q8×C73C2311yescharacteristic
450C2×Q16×C73C2311yescharacteristic
451C2×Q16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73—21no—
457#124×C73—21no—
458#123×C73—21no—
459#123×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464C22⋊Q8×C73C2311yescharacteristic
465C22⋊Q8×C73C2311yescharacteristic
466C22⋊Q8×C73C2311yescharacteristic
467#121×C73—21no—
468#121×C73—21no—
469#121×C73—21no—
470#121×C73C2311yescharacteristic
471#121×C73C2311yescharacteristic
472#117×C73C2311yescharacteristic
473C2×C4⋊C4×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476#106×C73C2311yescharacteristic
477#106×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73C2×D411yescharacteristic
495#11924029—22no—
496#11924029—41no—
497#11924029—44no—
498#11924029—41no—
499#11924029—41no—
500#11924028—22no—
501#11924028—22no—
502#11924028—22no—
503#11924028—22no—
504#11924028—41no—
505#11924028—41no—
506#11924028—41no—
507#11924028—41no—
508#11924028—44no—
509#11924027—22no—
510#11924027—41no—
511#11924027—44no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146C2411yescharacteristic
516C2×Dic146C2411yescharacteristic
517Q8×D73—22no—
518Q8×D73—41no—
519Q8×D73—41no—
520Q8×D73—41no—
521C2×D292—22no—
522C2×D292—22no—
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—21no—
533C2×D292—41no—
534C2×D292—41no—
535C2×D292—41no—
536C2×D292—41no—
537C2×D292—82no—
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⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558D4×D73—22no—
559D4×D73—41no—
560D4×D73—44no—
561D4×D73—44no—
562D4×D73—44no—
563D4×D73—44no—
564D4×D73—82no—
565D4×D73—82no—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73C2×D411yescharacteristic
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
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—41no—
582C2×C4×D73—41no—
583C2×C4×D73—44no—
584C2×C4×D73C2×D411yescharacteristic
585C2×C4×D73C2×D411yescharacteristic
586C2×C4×D73C2411yescharacteristic
587C2×C4×D73C2411yescharacteristic
588Dic292—22no—
589#11924018—22no—
590#11924018—22no—
591#11924018—41no—
592#11924017—22no—
593#11924017—22no—
594#11924017—41no—
595#11924017—41no—
596#11924016—41no—
597#11924015—22no—
598#11924015—22no—
599#11924015—41no—
600#11924015—41no—
601#11924015—41no—
602#11924015—41no—
603#11924015—41no—
604D584—22no—
605D584—41no—
606D584—41no—
607#11924013—41no—
608#11924012—41no—
609#11924011—41no—
610#11924011—41no—
611#11924011—41no—
612#11924011—41no—
613C2×#10596831—41no—
614C2×#10596831C2411yescharacteristic
615C2×#10596831C2411yescharacteristic
616C2×#10596831C2411yescharacteristic
617C2×#10596831C2411yescharacteristic
618C4⋊Dic73—21no—
619C4⋊Dic73—21no—
620C4⋊Dic73—21no—
621C4⋊Dic73—21no—
622C4⋊Dic73—21no—
623C4⋊Dic73C2×D411yescharacteristic
624C4⋊Dic73C2×D411yescharacteristic
625C4⋊Dic73C2411yescharacteristic
626C4⋊Dic73C2411yescharacteristic
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007C2×D411yescharacteristic
640#11924007C2×D411yescharacteristic
641#11924007C2×D411yescharacteristic
642#11924007C2×D411yescharacteristic
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73C2×D411yescharacteristic
646C22⋊Dic73C2×D411yescharacteristic
647C22⋊Dic73C2×D411yescharacteristic
648C22⋊Dic73C2×D411yescharacteristic
649C22⋊Dic73C2×D411yescharacteristic
650C22⋊Dic73C2×D411yescharacteristic
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
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#11924005C2×D411yescharacteristic
672#11924005C2×D411yescharacteristic
673#11924005C2×D411yescharacteristic
674#11924005C2×D411yescharacteristic
675C4×Dic73—21no—
676C4×Dic73—21no—
677C4×Dic73—21no—
678C4×Dic73—21no—
679C4×Dic73—21no—
680C4×Dic73—21no—
681C4×Dic73C2411yescharacteristic
682C4×Dic73C2411yescharacteristic
683#41×C73—41no—
684#41×C73—41no—
685#41×C73—41no—
686#41×C73—41no—
687C2×Q8×C73—21no—
688C2×Q8×C73—41no—
689C2×Q8×C73—41no—
690C2×Q8×C73C2×D411yescharacteristic
691C2×Q8×C73C2411yescharacteristic
692C2×Q8×C73C2411yescharacteristic
693C2×Q8×C73C2411yescharacteristic
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73C2×D411yescharacteristic
698C2×D4×C73C2×D411yescharacteristic
699C2×D4×C73C2×D411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C22×C4×C73—21no—
702C22×C4×C73—21no—
703C22×C4×C73—21no—
704C22×C4×C73C2411yescharacteristic
705C22×C4×C73C2411yescharacteristic
706C22×C4×C73C2411yescharacteristic
707Q16×C73—41no—
708Q16×C73—41no—
709SD16×C73—41no—
710SD16×C73—41no—
711M16×C73—41no—
712C2×C8×C73—41no—
713C2×C8×C73C2411yescharacteristic
714C2×C8×C73C2411yescharacteristic
715C2×C8×C73C2411yescharacteristic
716C2×C8×C73C2411yescharacteristic
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C4⋊C4×C73C2411yescharacteristic
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
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—
737C42×C73—21no—
738C23×C73—21no—
739C23×C73C22×D411yescharacteristic
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
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—21no—
767Q8×C73—21no—
768Q8×C73—21no—
769Q8×C73—41no—
770Q8×C73—81no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—41no—
774D4×C73—41no—
775D4×C73—41no—
776D4×C73—42no—
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—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—42no—
793C2×C4×C73—81no—
794C2×C4×C73—81no—
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C22×D411yescharacteristic
798C2×C4×C73C2511yescharacteristic
799C22⋊D73—24no—
800C22⋊D73—41no—
801C22⋊D73—41no—
802C22⋊D73—41no—
803C22⋊D73—41no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—42no—
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×Dic73—81no—
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826C2×Dic73C22×D411yescharacteristic
827C2×Dic73C22×D411yescharacteristic
828D292—21no—
829D292—21no—
830D292—21no—
831D292—21no—
832D292—21no—
833D292—21no—
834D292—21no—
835D292—42no—
836D292—42no—
837D292—42no—
838D292—42no—
839D292—42no—
840D292—42no—
841D292—42no—
842D292—81no—
843D292—81no—
844D292—81no—
845D292H(5,𝔽2)12yes—
846C4×D73—24no—
847C4×D73—21no—
848C4×D73—21no—
849C4×D73—21no—
850C4×D73—21no—
851C4×D73—41no—
852C4×D73—41no—
853C4×D73—42no—
854C4×D73—42no—
855C4×D73—42no—
856C4×D73—42no—
857C4×D73—81no—
858C4×D73—81no—
859C4×D73—81no—
860C4×D73—81no—
861C4×D73—81no—
862C4×D73—81no—
863C4×D73—81no—
864Dic146—21no—
865Dic146—21no—
866Dic146—21no—
867Dic146—42no—
868Dic146—81no—
869Dic146—81no—
870Dic146H(5,𝔽2)12yes—
871C8×C73—21no—
872C8×C73—21no—
873C8×C73—21no—
874C8×C73—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878#10596831—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—21no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73C23×D411yescharacteristic
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—22no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—41no—
905C2×D73—41no—
906C2×D73—41no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—82no—
911C2×D73—84no—
912C2×D73—162no—
913C2×D73—162no—
914C2×D73—162no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—21no—
918C4×C73—41no—
919C4×C73—41no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73—41no—
923C4×C73—41no—
924C4×C73—41no—
925C4×C73C2×H(5,𝔽2)11yescharacteristic
926C4×C73C2×H(5,𝔽2)11yescharacteristic
927Dic73—21no—
928Dic73—21no—
929Dic73—21no—
930Dic73—21no—
931Dic73—22no—
932Dic73—21no—
933Dic73—21no—
934Dic73—41no—
935Dic73—41no—
936Dic73—41no—
937#61654—731nomaximal, Sylow
938C2×C73—41no—
939C2×C73—41no—
940C2×C73—41no—
941C2×C73—81no—
942C2×C73#348411yescharacteristic
943C2×C73#358511yescharacteristic
944C2×C73#358611yescharacteristic
945D73—41no—
946D73—41no—
947D73—42no—
948D73—81no—
949D73—81no—
950D73—81no—
951#3541—731no—
952#3488—731no—
953#3333—731no—
954#3327—731no—
955#3324—731no—
956#3322—731no—
957#3314—731no—
958#3313—731no—
959#3310—731no—
960#3309—731no—
961#3278—731no—
962#3277—731no—
963#3275—731no—
964#3272—731no—
965#3271—731no—
966#3269—731no—
967#3266—731no—
968#3265—731no—
969#3224—731no—
970#3222—731no—
971#3203—731no—
972#3201D7311yescharacteristic, complemented
973#3194—731no—
974#3193—731no—
975#3124—731no—
976#3120—731no—
977#3012—731no—
978#3009—731no—
979#3007—731no—
980#3005—731no—
981#2978—731no—
982C73#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—731no—
984C22×#41—731no—
985C2×#137—731no—
986C2×#137—731no—
987C2×#137—731no—
988C2×#137—731no—
989C2×AGL(1,ℤ/8)—731no—
990C2×AGL(1,ℤ/8)—731no—
991C2×#135—731no—
992C22×SD16—731no—
993#563—1461no—
994#562—1461no—
995#556—731no—
996#554—731no—
997#554—1461no—
998#553—731no—
999#553—1461no—
1000#552—731no—
1001#550—731no—
1002#550—731no—
1003D4×Q8—731no—
1004#548—731no—
1005#548—731no—
1006#548—731no—
1007#548—731no—
1008#547—731no—
1009#546—731no—
1010#546—731no—
1011#546—1461no—
1012#546—1461no—
1013D42—731no—
1014D42—731no—
1015D42—1461no—
1016D42—1461no—
1017#542—731no—
1018#542—1461no—
1019#541—731no—
1020#539—1461no—
1021#538—1461no—
1022#538—1461no—
1023#537—731no—
1024#537—1461no—
1025#537C2×D7311yescharacteristic
1026#536C2×D7311yescharacteristic, complemented
1027#535—731no—
1028#535—1461no—
1029#525—731no—
1030#525—731no—
1031#525—1461no—
1032C2×C22⋊Q8—731no—
1033C2×#121—731no—
1034C2×#121—1461no—
1035#520—731no—
1036#497—731no—
1037#496—731no—
1038#495—731no—
1039#492—731no—
1040#490—731no—
1041#489—731no—
1042#488—731no—
1043#486—731no—
1044#485C2×D7311yescharacteristic, complemented
1045#484—731no—
1046#484—731no—
1047#484C2×D7311yescharacteristic, complemented
1048#483C2×D7311yescharacteristic, complemented
1049#482—731no—
1050#482—731no—
1051#482C2×D7311yescharacteristic, complemented
1052#480—731no—
1053#480—731no—
1054#480—731no—
1055#480—731no—
1056#479—731no—
1057#478—731no—
1058#477—731no—
1059#474—731no—
1060#470C2×D7311yescharacteristic, complemented
1061#469—731no—
1062#469—731no—
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468—731no—
1067#468—731no—
1068#468—731no—
1069#468—731no—
1070#468—731no—
1071#468C2×D7311yescharacteristic, complemented
1072#467—731no—
1073#467C2×D7311yescharacteristic, complemented
1074#466—731no—
1075#465C2×D7311yescharacteristic, complemented
1076#464—731no—
1077#464—731no—
1078#464—731no—
1079#464—731no—
1080#463—731no—
1081#463—731no—
1082#462—731no—
1083#461—731no—
1084#460—731no—
1085#460—731no—
1086#460—731no—
1087#459—731no—
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452—731no—
1095#452—731no—
1096#452—731no—
1097#452—731no—
1098#452C2×D7311yescharacteristic, complemented
1099#452C2×D7311yescharacteristic, complemented
1100#451—731no—
1101#451—731no—
1102#451C2×D7311yescharacteristic, complemented
1103#450—731no—
1104#450—731no—
1105#450—731no—
1106#450—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450—731no—
1111#449—731no—
1112#449—731no—
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449—731no—
1119#448—731no—
1120#448—731no—
1121#448C2×D7311yescharacteristic, complemented
1122#447—731no—
1123#447—731no—
1124#441—731no—
1125#440—731no—
1126#440—731no—
1127#440—731no—
1128C4×Q16—731no—
1129C4×Q16—731no—
1130C4×SD16—731no—
1131C4×D8—731no—
1132#436—731no—
1133#436—731no—
1134#436—731no—
1135#436—731no—
1136#435—731no—
1137#435—731no—
1138#435—731no—
1139#435—731no—
1140#433—731no—
1141#433—731no—
1142#419—731no—
1143#418—731no—
1144#418—731no—
1145#417—731no—
1146#417—731no—
1147#417—731no—
1148#416—731no—
1149C2×#102—731no—
1150#408—731no—
1151#408C2×D7311yescharacteristic, complemented
1152#407—731no—
1153#407—731no—
1154H(5,𝔽2)—2922no—
1155H(5,𝔽2)—2922no—
1156C2×#41—2922no—
1157C2×#41—2922no—
1158C2×#41—731no—
1159C2×#41—731no—
1160C2×#41—731no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—731no—
1164C2×#41—731no—
1165C2×#41—1461no—
1166C2×#41—1461no—
1167C2×#41—1461no—
1168C2×#41C22×D7311yescharacteristic
1169C2×#41C22×D7311yescharacteristic
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×Q8C22×D7311yescharacteristic
1173C22×D4—731no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—731no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C22×D4—1461no—
1182C22×D4—1461no—
1183C22×D4—1461no—
1184C23×C4—731no—
1185C23×C4—1461no—
1186#137—2922no—
1187#137—2922no—
1188#137—2922no—
1189#137—2922no—
1190AGL(1,ℤ/8)—2922no—
1191AGL(1,ℤ/8)—2922no—
1192#135—2922no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16—731no—
1196C2×Q16—731no—
1197C2×Q16C22×D7311yescharacteristic
1198C2×Q16C22×D7311yescharacteristic
1199C2×SD16—2922no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16—731no—
1209C2×SD16—731no—
1210C2×SD16—731no—
1211C2×SD16—731no—
1212C2×SD16C22×D7311yescharacteristic
1213C2×SD16C22×D7311yescharacteristic
1214C2×D8—731no—
1215C2×D8—731no—
1216C2×D8—731no—
1217C2×D8—731no—
1218C2×M16—731no—
1219C2×M16—731no—
1220C2×M16—731no—
1221C2×M16—731no—
1222C2×M16—731no—
1223C2×M16C22×D7311yescharacteristic
1224C22×C8—731no—
1225C22×C8C22×D7311yescharacteristic
1226C4⋊Q8—21no—
1227C4⋊Q8—731no—
1228C4⋊Q8—731no—
1229C4⋊Q8—1461no—
1230#127—731no—
1231#127—731no—
1232#127—1461no—
1233#127—1461no—
1234#126—1461no—
1235#126—1461no—
1236#126—1461no—
1237#126—1461no—
1238#126—1461no—
1239#126—1461no—
1240#126—1461no—
1241#125—731no—
1242#125—1461no—
1243#125—1461no—
1244#125—1461no—
1245#125—1461no—
1246#124—21no—
1247#124—731no—
1248#124—731no—
1249#124—731no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124—1461no—
1254#124—1461no—
1255#124—1461no—
1256#123—21no—
1257#123—21no—
1258#123—731no—
1259#123—731no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268C22⋊Q8—21no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8C22×D7311yescharacteristic
1289C22⋊Q8C22×D7311yescharacteristic
1290C22⋊Q8C22×D7311yescharacteristic
1291C22⋊Q8C22×D7311yescharacteristic
1292C22⋊Q8C22×D7311yescharacteristic
1293C22⋊Q8C22×D7311yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—731no—
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#121C22×D7311yescharacteristic
1328#121C22×D7311yescharacteristic
1329#120—731no—
1330#120—731no—
1331#120—1461no—
1332#120—1461no—
1333#120—1461no—
1334#120—1461no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340C4×Q8—731no—
1341C4×Q8—731no—
1342C4×Q8—731no—
1343C4×Q8—731no—
1344C4×Q8—731no—
1345C4×Q8—1461no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—731no—
1351C4×D4—731no—
1352C4×D4—731no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4—1461no—
1366#117—731no—
1367#117—731no—
1368#117—1461no—
1369#117—1461no—
1370#117C22×D7311yescharacteristic
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—1461no—
1374C2×C4⋊C4—1461no—
1375C2×C4⋊C4—1461no—
1376C2×C4⋊C4C22×D7311yescharacteristic
1377C2×C22⋊C4—1461no—
1378C2×C22⋊C4—1461no—
1379C2×C22⋊C4—1461no—
1380C2×C22⋊C4—1461no—
1381#107—731no—
1382#107—731no—
1383#107—731no—
1384#107—731no—
1385#107C22×D7311yescharacteristic
1386#107C22×D7311yescharacteristic
1387#106C22×D7311yescharacteristic
1388#106C22×D7311yescharacteristic
1389C4⋊C8—731no—
1390C4⋊C8—731no—
1391C4⋊C8—731no—
1392C4⋊C8—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103C22×D7311yescharacteristic
1402#103C22×D7311yescharacteristic
1403#103C22×D7311yescharacteristic
1404#103C22×D7311yescharacteristic
1405#103C22×D7311yescharacteristic
1406#103C22×D7311yescharacteristic
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
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#102C22×D7311yescharacteristic
1424#102C22×D7311yescharacteristic
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8—731no—
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8C22×D7311yescharacteristic
1434C22⋊C8C22×D7311yescharacteristic
1435C22⋊C8C22×D7311yescharacteristic
1436C22⋊C8C22×D7311yescharacteristic
1437#97—731no—
1438#97—731no—
1439C4×C8—731no—
1440C4×C8—731no—
1441C24—731no—
1442C24—1461no—
1443C24—1461no—
1444C24—1461no—
1445C24—1461no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—2921no—
1451#41—2921no—
1452#41—2921no—
1453#41—2921no—
1454#41—2924no—
1455#41—2924no—
1456#41—2921no—
1457#41—2924no—
1458#41—2921no—
1459#41—2921no—
1460#41—2921no—
1461#41—1462no—
1462#41—1462no—
1463#41—1462no—
1464#41—1462no—
1465#41—1462no—
1466#41—1462no—
1467C2×Q8—21no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—2921no—
1471C2×Q8—2921no—
1472C2×Q8—2921no—
1473C2×Q8—731no—
1474C2×Q8—731no—
1475C2×Q8—1461no—
1476C2×Q8—1461no—
1477C2×Q8—1461no—
1478C2×Q8—1462no—
1479C2×Q8D4×D7311yescharacteristic
1480C2×Q8C23×D7311yescharacteristic
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—2921no—
1487C2×D4—2921no—
1488C2×D4—2921no—
1489C2×D4—2921no—
1490C2×D4—2924no—
1491C2×D4—2924no—
1492C2×D4—2924no—
1493C2×D4—2921no—
1494C2×D4—2924no—
1495C2×D4—5842no—
1496C2×D4—5842no—
1497C2×D4—5842no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—731no—
1503C2×D4—731no—
1504C2×D4—731no—
1505C2×D4—731no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1462no—
1511C2×D4—1462no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1462no—
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—1461no—
1531C2×D4D4×D7311yescharacteristic
1532C2×D4D4×D7311yescharacteristic
1533C2×D4D4×D7311yescharacteristic
1534C2×D4C23×D7311yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—2921no—
1539C22×C4—2921no—
1540C22×C4—2924no—
1541C22×C4—731no—
1542C22×C4—731no—
1543C22×C4—731no—
1544C22×C4—731no—
1545C22×C4—731no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4—1461no—
1553C22×C4—1461no—
1554C22×C4—1461no—
1555C22×C4—1461no—
1556C22×C4—1461no—
1557C22×C4—1461no—
1558C22×C4—1461no—
1559C22×C4—1461no—
1560C22×C4C23×D7311yescharacteristic
1561C22×C4C23×D7311yescharacteristic
1562C22×C4C23×D7311yescharacteristic
1563Q16—41no—
1564Q16—41no—
1565Q16—2921no—
1566Q16—1462no—
1567Q16—1462no—
1568Q16—1462no—
1569SD16—41no—
1570SD16—41no—
1571SD16—2921no—
1572SD16—2921no—
1573SD16—2921no—
1574SD16—2921no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578SD16—2921no—
1579SD16—1462no—
1580SD16—1462no—
1581SD16—1462no—
1582SD16—1462no—
1583D8—2921no—
1584D8—2921no—
1585D8—2921no—
1586D8—1462no—
1587M16—41no—
1588M16—2921no—
1589M16—2921no—
1590M16—2921no—
1591M16—2921no—
1592M16—2921no—
1593C2×C8—41no—
1594C2×C8—2921no—
1595C2×C8—731no—
1596C2×C8—731no—
1597C2×C8—731no—
1598C2×C8—731no—
1599C2×C8C23×D7311yescharacteristic
1600C2×C8C23×D7311yescharacteristic
1601C2×C8C23×D7311yescharacteristic
1602C2×C8C23×D7311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—731no—
1611C4⋊C4—731no—
1612C4⋊C4—731no—
1613C4⋊C4—731no—
1614C4⋊C4—731no—
1615C4⋊C4—731no—
1616C4⋊C4—731no—
1617C4⋊C4—731no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4C23×D7311yescharacteristic
1636C4⋊C4C23×D7311yescharacteristic
1637C4⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—731no—
1652C22⋊C4—731no—
1653C22⋊C4—731no—
1654C22⋊C4—731no—
1655C22⋊C4—731no—
1656C22⋊C4—731no—
1657C22⋊C4—731no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
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—
1680C42—21no—
1681C42—731no—
1682C42—731no—
1683C42—1461no—
1684C42—1461no—
1685C42—1461no—
1686C42—1461no—
1687C42—1461no—
1688C42—1461no—
1689C23—21no—
1690C23—2922no—
1691C23—2922no—
1692C23—2922no—
1693C23—2921no—
1694C23—2921no—
1695C23—2921no—
1696C23—2922no—
1697C23—2922no—
1698C23—5841no—
1699C23—5841no—
1700C23—5841no—
1701C23—5841no—
1702C23—5841no—
1703C23—5841no—
1704C23—5841no—
1705C23—731no—
1706C23—731no—
1707C23—1461no—
1708C23—1461no—
1709C23—1461no—
1710C23—1461no—
1711C23C2×D4×D7311yescharacteristic
1712C23C2×D4×D7311yescharacteristic
1713C23C2×D4×D7311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—41no—
1721Q8—81no—
1722Q8—2922no—
1723Q8—5841no—
1724Q8—5841no—
1725Q8—732no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8—1461no—
1729D4—21no—
1730D4—21no—
1731D4—41no—
1732D4—41no—
1733D4—41no—
1734D4—42no—
1735D4—81no—
1736D4—81no—
1737D4—2922no—
1738D4—2922no—
1739D4—2922no—
1740D4—2922no—
1741D4—2922no—
1742D4—2922no—
1743D4—2922no—
1744D4—2922no—
1745D4—2922no—
1746D4—2921no—
1747D4—2921no—
1748D4—2921no—
1749D4—2921no—
1750D4—2922no—
1751D4—2922no—
1752D4—5841no—
1753D4—5841no—
1754D4—5841no—
1755D4—5841no—
1756D4—5841no—
1757D4—5841no—
1758D4—5841no—
1759D4—5841no—
1760D4—5841no—
1761D4—5841no—
1762D4—732no—
1763D4—1464no—
1764D4—1461no—
1765D4—1461no—
1766D4—1461no—
1767D4—1461no—
1768D4—1461no—
1769D4—1461no—
1770D4—1461no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—42no—
1785C2×C4—81no—
1786C2×C4—81no—
1787C2×C4—2922no—
1788C2×C4—2922no—
1789C2×C4—2921no—
1790C2×C4—2921no—
1791C2×C4—2922no—
1792C2×C4—2922no—
1793C2×C4—2921no—
1794C2×C4—2922no—
1795C2×C4—5841no—
1796C2×C4—5841no—
1797C2×C4—5841no—
1798C2×C4—5841no—
1799C2×C4—5841no—
1800C2×C4—5841no—
1801C2×C4—5841no—
1802C2×C4—5841no—
1803C2×C4—731no—
1804C2×C4—731no—
1805C2×C4—731no—
1806C2×C4—731no—
1807C2×C4—731no—
1808C2×C4—731no—
1809C2×C4—1464no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1461no—
1814C2×C4—1461no—
1815C2×C4—1461no—
1816C2×C4—1461no—
1817C2×C4—1461no—
1818C2×C4C2×D4×D7311yescharacteristic
1819C2×C4C2×D4×D7311yescharacteristic
1820C2×C4C2×D4×D7311yescharacteristic
1821C2×C4C24×D7311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1461no—
1827C8—1461no—
1828C8—1461no—
1829C8—1461no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—2921no—
1843C22—2921no—
1844C22—2921no—
1845C22—2921no—
1846C22—2921no—
1847C22—2921no—
1848C22—2921no—
1849C22—2921no—
1850C22—2921no—
1851C22—2921no—
1852C22—2921no—
1853C22—5842no—
1854C22—5844no—
1855C22—11682no—
1856C22—11682no—
1857C22—11682no—
1858C22—1461no—
1859C22—1461no—
1860C22—1462no—
1861C22—1461no—
1862C22—1461no—
1863C22—1461no—
1864C22—1461no—
1865C22C22×D4×D7311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—2921no—
1877C4—2921no—
1878C4—2921no—
1879C4—1461no—
1880C4—1462no—
1881C4—1461no—
1882C4—1461no—
1883C4—1461no—
1884C4—1461no—
1885C4—1461no—
1886C4H(5,𝔽2)×D7311yescharacteristic
1887C4H(5,𝔽2)×D7311yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—81no—
1892C2—2922no—
1893C2—2921no—
1894C2—2921no—
1895C2—5841no—
1896C2—5841no—
1897C2—5841no—
1898C2#2262356311yescharacteristic
1899C2#2262470911yescharacteristic
1900C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3201C2
socleC22×C73C23×D4
hypercenter#3201D73
hypocenterC73#61654
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
1. #22624226C2semidirect
2. #22623595C2semidirect
3. #22622264C2semidirect
4. #22622194C2semidirect
5. #22622160C2semidirect
6. #22622130C2semidirect
7. #22622018C2semidirect
8. #22621995C2semidirect
9. #22621958C2semidirect
10. #22621935C2semidirect
11. #22621595C2semidirect
12. #22621588C2semidirect
13. #22621559C2semidirect
14. #22621528C2semidirect
15. #22621513C2semidirect
16. #22621483C2semidirect
17. #22621434C2semidirect
18. #22621419C2semidirect
19. #22621031C2semidirect
20. #22621001C2semidirect
21. #22620828C2semidirect
22. #22620750C2semidirect
23. #22620736C2semidirect
24. #22620196C2semidirect
25. #22620148C2semidirect
26. #22619238C2semidirect
27. #22619206C2semidirect
28. #22619188C2semidirect
29. #22619174C2semidirect
30. #22618989C2semidirect
31. C73×#3201C2semidirect
34. C2×#14556623C22semidirect
35. C2×#14556623C22semidirect
36. C2×#14556622C22semidirect
37. C2×#14556620C22semidirect
38. C2×#14556619C22semidirect
39. C2×#14556618C22semidirect
40. C2×#14556613C22semidirect
41. C22×#11924015C22semidirect
44. #17989305C22semidirect
46. #17989295C22semidirect
48. #17989281C22semidirect
49. #17989279C22semidirect
52. Q8×C22⋊D73C22semidirect
53. #17989248C22semidirect
56. #17989247C22semidirect
57. #17989239C22semidirect
66. #17989210C22semidirect
68. #17989197C22semidirect
73. #17989165C22semidirect
77. #17989100C22semidirect
79. C22⋊Q8×D73C22semidirect
83. #17988980C22semidirect
84. #17988973C22semidirect
85. #17988972C22semidirect
86. #17988958C22semidirect
87. #17988950C22semidirect
88. #17988948C22semidirect
89. #17988943C22semidirect
90. #17988932C22semidirect
91. #17988922C22semidirect
92. #17988920C22semidirect
93. #17988913C22semidirect
94. #17988913C22semidirect
95. #17988902C22semidirect
96. #17988902C22semidirect
97. #17988900C22semidirect
98. #17988898C22semidirect
99. #17988897C22semidirect
100. #17988886C22semidirect
101. #17988881C22semidirect
102. #17988866C22semidirect
103. #17988841C22semidirect
104. #17988841C22semidirect
105. #17988836C22semidirect
106. #17988836C22semidirect
107. #17988836C22semidirect
108. #17988836C22semidirect
109. #17988835C22semidirect
110. #17988834C22semidirect
111. #17988834C22semidirect
112. #17988831C22semidirect
113. #17988826C22semidirect
114. #17988821C22semidirect
115. #17988812C22semidirect
116. #17988812C22semidirect
117. #17988811C22semidirect
118. #17988811C22semidirect
119. #17988805C22semidirect
120. #17988805C22semidirect
121. #17988796C22semidirect
122. #17988791C22semidirect
123. #17988786C22semidirect
124. #17988785C22semidirect
125. #17988785C22semidirect
126. #17988781C22semidirect
128. #17988751C22semidirect
129. #17988749C22semidirect
130. #17988748C22semidirect
133. #17988747C22semidirect
134. #17988747C22semidirect
135. #17988747C22semidirect
136. #17988746C22semidirect
137. #17988744C22semidirect
138. #17988741C22semidirect
139. #17988740C22semidirect
140. #17988740C22semidirect
141. #17988739C22semidirect
142. #17988737C22semidirect
143. #17988737C22semidirect
144. #17988737C22semidirect
145. #17988737C22semidirect
146. #17988736C22semidirect
147. #17988735C22semidirect
148. #17988735C22semidirect
149. #17988735C22semidirect
151. #17988734C22semidirect
152. #17988733C22semidirect
153. #17988732C22semidirect
154. #17988730C22semidirect
155. #17988727C22semidirect
156. #17988727C22semidirect
157. #17988723C22semidirect
158. #17988723C22semidirect
159. #17988693C22semidirect
160. #17988690C22semidirect
161. #17988690C22semidirect
162. #17988686C22semidirect
163. #17988679C22semidirect
164. #17988679C22semidirect
165. #17988674C22semidirect
166. #17988669C22semidirect
167. #17988663C22semidirect
168. #17988663C22semidirect
169. #17988662C22semidirect
170. #17988662C22semidirect
171. #17988658C22semidirect
172. #17988658C22semidirect
173. #17988655C22semidirect
174. #17988655C22semidirect
175. #17988645C22semidirect
176. #17988645C22semidirect
177. #17988594C22semidirect
178. #17988591C22semidirect
179. #17988590C22semidirect
180. #17988589C22semidirect
181. #17988587C22semidirect
182. #17988585C22semidirect
183. #17988581C22semidirect
184. C2×#14556513C22semidirect
185. #17988554C22semidirect
186. #17988549C22semidirect
187. #17988549C22semidirect
189. #536×C73C22semidirect
190. #485×C73C22semidirect
191. #484×C73C22semidirect
192. #483×C73C22semidirect
193. #482×C73C22semidirect
194. #470×C73C22semidirect
195. #468×C73C22semidirect
196. #467×C73C22semidirect
197. #465×C73C22semidirect
198. #452×C73C22semidirect
199. #452×C73C22semidirect
200. #451×C73C22semidirect
201. #448×C73C22semidirect
202. #408×C73C22semidirect
972. #3201D73semidirect
982. C73#61654semidirect
1026. #536C2×D73semidirect
1044. #485C2×D73semidirect
1047. #484C2×D73semidirect
1048. #483C2×D73semidirect
1051. #482C2×D73semidirect
1060. #470C2×D73semidirect
1071. #468C2×D73semidirect
1073. #467C2×D73semidirect
1075. #465C2×D73semidirect
1098. #452C2×D73semidirect
1099. #452C2×D73semidirect
1102. #451C2×D73semidirect
1121. #448C2×D73semidirect
1151. #408C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242262
#226235952
#226222642
#226221942
#226221602
#226221302
#226220182
#226219952
#226219582
#226219352
#226215952
#226215882
#226215592
#226215282
#226215132
#226214832
#226214342
#226214192
#226210312
#226210012
#226208282
#226207502
#226207362
#226201962
#226201482
#226192382
#226192062
#226191882
#226191742
#226189892
C73×#32012
#6165473