Finite Group Databasebeta

← #33963370

Subgroups — #33963370

Order 18688.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623642C211yesmaximal, characteristic, complemented
2#22623559C211yesmaximal, characteristic, complemented
3#22622168C211yesmaximal, characteristic, complemented
4#22622161C211yesmaximal, characteristic, complemented
5#22622158C211yesmaximal, characteristic, complemented
6#22622149C211yesmaximal, characteristic, complemented
7#22622143C211yesmaximal, characteristic, complemented
8#22622137C211yesmaximal, characteristic, complemented
9#22622127C211yesmaximal, characteristic, complemented
10#22622081C211yesmaximal, characteristic, complemented
11#22622080C211yesmaximal, characteristic, complemented
12#22622079C211yesmaximal, characteristic, complemented
13#22622076C211yesmaximal, characteristic, complemented
14#22621965C211yesmaximal, characteristic, complemented
15#22621964C211yesmaximal, characteristic, complemented
16#22621955C211yesmaximal, characteristic, complemented
17#22621952C211yesmaximal, characteristic, complemented
18#22620280C211yesmaximal, characteristic, complemented
19#22619884C211yesmaximal, characteristic, complemented
20#22619859C211yesmaximal, characteristic, complemented
21#22619757C211yesmaximal, characteristic, complemented
22#22619608C211yesmaximal, characteristic, complemented
23#22619538C211yesmaximal, characteristic, complemented
24#22619465C211yesmaximal, characteristic, complemented
25#22619230C211yesmaximal, characteristic, complemented
26#22619155C211yesmaximal, characteristic, complemented
27#22618756C211yesmaximal, characteristic, complemented
28#22618631C211yesmaximal, characteristic, complemented
29#22618456C211yesmaximal, characteristic, complemented
30#418×D73C211yesmaximal, characteristic, complemented
31C73×#3325C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C2×#14556615C2211yescharacteristic
35C2×#14556615C2211yescharacteristic, complemented
36C2×#14556610C2211yescharacteristic, complemented
37C2×#14556599C2211yescharacteristic, complemented
38C2×M16×D73C2211yescharacteristic, complemented
39#17989311C2211yescharacteristic, complemented
40#17989306—21no—
41#17989305C2211yescharacteristic, complemented
42#17989301C2211yescharacteristic, complemented
43#17989299—21no—
44#17989289C2211yescharacteristic, complemented
45#17989287C2211yescharacteristic, complemented
46#17989280—21no—
47#17989277C2211yescharacteristic, complemented
48#17989276C2211yescharacteristic, complemented
49#17989270—21no—
50#17989234C2211yescharacteristic
51#17989233C2211yescharacteristic
52#17989232C2211yescharacteristic
53#17989231C2211yescharacteristic
54#17989226—21no—
55#17989224—21no—
56#17989222C2211yescharacteristic
57#17989221C2211yescharacteristic
58D4×C22⋊D73—21no—
59D4×C22⋊D73C2211yescharacteristic
60#17989219—21no—
61#17989214C2211yescharacteristic, complemented
62#17989171—21no—
63#17989169—21no—
64#17989166C2211yescharacteristic, complemented
65#17989153C2211yescharacteristic
66#17989150C2211yescharacteristic
67#17989147—21no—
68#17989145—21no—
69#17989116—21no—
70#17989115—21no—
71#17989097C2211yescharacteristic
72#17989097C2211yescharacteristic, complemented
73#17989096C2211yescharacteristic
74C2×#14556559—21no—
75#120×D73—21no—
76#17989067C2211yescharacteristic, complemented
77#17989066C2211yescharacteristic, complemented
78#17989059C2211yescharacteristic
79#117×D73C2211yescharacteristic, complemented
80#17988951C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic, complemented
82#17988949C2211yescharacteristic, complemented
83#17988945C2211yescharacteristic, complemented
84#17988942C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988931C2211yescharacteristic, complemented
88#17988930C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988911C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988906C2211yescharacteristic, complemented
98#17988904C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic, complemented
100#17988898C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988886C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic, complemented
106#17988865C2211yescharacteristic, complemented
107#17988864C2211yescharacteristic, complemented
108#17988846C2211yescharacteristic, complemented
109#17988845C2211yescharacteristic, complemented
110#17988839C2211yescharacteristic, complemented
111#17988837C2211yescharacteristic, complemented
112#17988833C2211yescharacteristic, complemented
113#17988832C2211yescharacteristic, complemented
114#17988832C2211yescharacteristic, complemented
115#17988832C2211yescharacteristic, complemented
116#17988831C2211yescharacteristic, complemented
117#17988831C2211yescharacteristic, complemented
118#17988821C2211yescharacteristic, complemented
119#17988820C2211yescharacteristic, complemented
120#17988817C2211yescharacteristic, complemented
121#17988814C2211yescharacteristic, complemented
122#17988810C2211yescharacteristic, complemented
123#17988808C2211yescharacteristic, complemented
124#17988802C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988784C2211yescharacteristic, complemented
128#17988780C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988750C2211yescharacteristic, complemented
131#17988740C2211yescharacteristic, complemented
132#17988739C2211yescharacteristic, complemented
133#17988739C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic, complemented
135#17988738C2211yescharacteristic, complemented
136#17988738C2211yescharacteristic, complemented
137#17988730C2211yescharacteristic, complemented
138#17988729C2211yescharacteristic, complemented
139#17988720C2211yescharacteristic, complemented
140#17988719C2211yescharacteristic, complemented
141#17988719C2211yescharacteristic, complemented
142#17988719C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic, complemented
144#17988697C2211yescharacteristic, complemented
145#17988687C2211yescharacteristic, complemented
146#17988686C2211yescharacteristic, complemented
147#17988678C2211yescharacteristic, complemented
148C4×#11924017C2211yescharacteristic, complemented
149#17988667C2211yescharacteristic, complemented
150#17988666C2211yescharacteristic, complemented
151#17988663C2211yescharacteristic, complemented
152#17988663C2211yescharacteristic, complemented
153#17988661C2211yescharacteristic, complemented
154#17988659C2211yescharacteristic, complemented
155#17988657C2211yescharacteristic, complemented
156#17988655C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic, complemented
158#17988626C2211yescharacteristic, complemented
159#17988622C2211yescharacteristic, complemented
160#17988612C2211yescharacteristic, complemented
161#17988593C2211yescharacteristic, complemented
162#17988592C2211yescharacteristic, complemented
163#17988591C2211yescharacteristic, complemented
164#17988590C2211yescharacteristic
165#17988590C2211yescharacteristic, complemented
166#17988590C2211yescharacteristic, complemented
167#17988590C2211yescharacteristic, complemented
168#17988590C2211yescharacteristic, complemented
169#17988590C2211yescharacteristic, complemented
170#17988590C2211yescharacteristic, complemented
171#17988589C2211yescharacteristic, complemented
172#17988585C2211yescharacteristic, complemented
173#17988585C2211yescharacteristic, complemented
174#17988585C2211yescharacteristic, complemented
175#17988581C2211yescharacteristic, complemented
176#17988580C2211yescharacteristic, complemented
177#17988580C2211yescharacteristic, complemented
178#17988580C2211yescharacteristic, complemented
179C2×#14556512C2211yescharacteristic, complemented
180#102×D73C2211yescharacteristic
181#102×D73C2211yescharacteristic
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187#17988541C2211yescharacteristic, complemented
188#555×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic
190#486×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#469×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#447×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202#418×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204#14556636—24no—
205#14556636—42no—
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027C2311yescharacteristic
210C2×#11924027C2311yescharacteristic
211C2×#11924027C2311yescharacteristic
212C22×D292C2311yescharacteristic
213C22×C22⋊D73—21no—
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C2×D4×D73—24no—
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—42no—
224C2×D4×D73C2311yescharacteristic
225C2×D4×D73C2311yescharacteristic
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C22×C4×D73C2311yescharacteristic
230#14556615—24no—
231#14556615—42no—
232#14556610—42no—
233C2×Dic292C2311yescharacteristic, complemented
234C2×#11924017C2311yescharacteristic
235C2×#11924017C2311yescharacteristic
236C2×#11924016C2311yescharacteristic
237C2×#11924016C2311yescharacteristic
238C2×#11924016C2311yescharacteristic, complemented
239C2×#11924016C2311yescharacteristic, complemented
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242#14556599—42no—
243C2×#11924012C2311yescharacteristic
244C2×#11924011C2311yescharacteristic
245C2×#11924011C2311yescharacteristic
246C2×#11924011C2311yescharacteristic
247C2×#11924011C2311yescharacteristic
248C2×#11924011C2311yescharacteristic, complemented
249M16×D73—42no—
250C22×#10596831C2311yescharacteristic, complemented
251C2×C8×D73C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic, complemented
254#14556590C2311yescharacteristic, complemented
255#14556589—21no—
256#14556587—21no—
257#14556587C2311yescharacteristic
258#14556586—21no—
259#14556586—21no—
260#14556585—21no—
261#14556584—21no—
262#14556584—21no—
263#14556584—21no—
264#14556584—21no—
265#14556584—21no—
266#14556583—21no—
267#14556583C2311yescharacteristic, complemented
268#14556582C2311yescharacteristic, complemented
269#14556581—21no—
270#14556581—21no—
271#14556580—21no—
272#14556579C2311yescharacteristic
273#14556578—21no—
274#14556578C2311yescharacteristic
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556576—21no—
279#14556576D411yescharacteristic
280#14556575—21no—
281#14556575—21no—
282#14556574—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573D411yescharacteristic
288#14556572—21no—
289#14556572—21no—
290#14556571C2311yescharacteristic
291#14556571C2311yescharacteristic
292#14556571C2311yescharacteristic, complemented
293#14556570C2311yescharacteristic
294#14556570C2311yescharacteristic
295#14556570C2311yescharacteristic, complemented
296#14556569—21no—
297#14556569D411yescharacteristic
298#14556568—21no—
299#14556568D411yescharacteristic
300#14556567—21no—
301#14556566C2311yescharacteristic
302#14556565—21no—
303#14556565C2311yescharacteristic
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564D411yescharacteristic
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563D411yescharacteristic
317#14556562—21no—
318#14556562—21no—
319#14556562—21no—
320#14556562C2311yescharacteristic
321#14556562C2311yescharacteristic
322#14556562C2311yescharacteristic
323#14556562C2311yescharacteristic, complemented
324#14556561—21no—
325#14556561—21no—
326#14556561—21no—
327#14556561D411yescharacteristic
328#14556560—21no—
329#14556560—21no—
330#14556559—21no—
331#14556559—21no—
332#14556559—21no—
333#14556559—21no—
334#14556559—21no—
335#14556559—21no—
336#14556559—21no—
337#14556559—21no—
338#14556559—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559D411yescharacteristic
342Q8×Dic73—21no—
343C4×Dic146—21no—
344C4×Dic146—21no—
345C4×Dic146C2311yescharacteristic, complemented
346#14556556C2311yescharacteristic, complemented
347C4×D292—21no—
348C4×D292C2311yescharacteristic
349C4×D292C2311yescharacteristic
350D4×Dic73—21no—
351D4×Dic73—21no—
352D4×Dic73—21no—
353D4×Dic73C2311yescharacteristic
354D4×Dic73C2311yescharacteristic, complemented
355#14556553C2311yescharacteristic
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73C2311yescharacteristic
360C4×C22⋊D73C2311yescharacteristic
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556550C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556549C2311yescharacteristic
370#14556549C2311yescharacteristic
371#14556549C2311yescharacteristic
372#14556549C2311yescharacteristic, complemented
373#14556548—21no—
374#14556548—21no—
375#14556548C2311yescharacteristic
376#14556547—21no—
377#14556547—21no—
378#14556547—21no—
379#14556547—21no—
380C2×C4⋊Dic73C2311yescharacteristic, complemented
381C2×#11924007—21no—
382C4⋊C4×D73C2311yescharacteristic
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic, complemented
385C2×C22⋊Dic73—21no—
386C2×#11924005—21no—
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C42×D73—21no—
393#14556525C2311yescharacteristic, complemented
394#14556524C2311yescharacteristic, complemented
395#14556524C2311yescharacteristic, complemented
396#14556524C2311yescharacteristic, complemented
397#14556524C2311yescharacteristic, complemented
398#14556523C2311yescharacteristic, complemented
399#14556523C2311yescharacteristic, complemented
400#14556522C2311yescharacteristic, complemented
401#14556522C2311yescharacteristic, complemented
402C4⋊#10596831C2311yescharacteristic, complemented
403#14556520C2311yescharacteristic, complemented
404#14556520C2311yescharacteristic, complemented
405#14556516C2311yescharacteristic, complemented
406#14556516C2311yescharacteristic, complemented
407#14556516C2311yescharacteristic, complemented
408#14556516C2311yescharacteristic, complemented
409#14556514C2311yescharacteristic, complemented
410#14556514C2311yescharacteristic, complemented
411#14556514C2311yescharacteristic, complemented
412#14556514C2311yescharacteristic, complemented
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic, complemented
426#14556512C2311yescharacteristic, complemented
427#14556512C2311yescharacteristic, complemented
428#14556512C2311yescharacteristic, complemented
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic, complemented
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic, complemented
440#14556503C2311yescharacteristic, complemented
441#14556502C2311yescharacteristic, complemented
442#14556501C2311yescharacteristic, complemented
443C8×Dic73C2311yescharacteristic, complemented
444C22×D4×C73—21no—
445C22×D4×C73C2311yescharacteristic
446C22×D4×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic, complemented
450C2×M16×C73C2311yescharacteristic
451C2×M16×C73C2311yescharacteristic, complemented
452C4⋊Q8×C73C2311yescharacteristic, complemented
453#127×C73C2311yescharacteristic
454#124×C73—21no—
455#124×C73—21no—
456#121×C73—21no—
457#121×C73—21no—
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic, complemented
462#120×C73—21no—
463#120×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic, complemented
467#117×C73—21no—
468#117×C73C2311yescharacteristic
469#117×C73C2311yescharacteristic, complemented
470#107×C73C2311yescharacteristic, complemented
471#106×C73C2311yescharacteristic, complemented
472#106×C73C2311yescharacteristic, complemented
473C4⋊C8×C73C2311yescharacteristic, complemented
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic, complemented
481#102×C73C2311yescharacteristic, complemented
482#102×C73C2311yescharacteristic, complemented
483#102×C73C2311yescharacteristic, complemented
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic, complemented
486C4×C8×C73C2311yescharacteristic, complemented
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—44no—
494C23×D73—82no—
495C23×D73—82no—
496C23×D73C2×D411yescharacteristic
497#11924028—22no—
498#11924028—22no—
499#11924028—22no—
500#11924028—41no—
501#11924027—22no—
502#11924027—22no—
503#11924027—22no—
504#11924027—22no—
505#11924027—22no—
506#11924027—41no—
507#11924027—44no—
508C2×Dic146—21no—
509C2×Dic146C2×D411yescharacteristic
510C2×Dic146C2411yescharacteristic
511C2×Dic146C2411yescharacteristic
512C2×D292—22no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—41no—
516C2×D292C2×D411yescharacteristic
517C2×D292C2×D411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—44no—
537C2×C22⋊D73—44no—
538C2×C22⋊D73—44no—
539C2×C22⋊D73—82no—
540C2×C22⋊D73C2×D411yescharacteristic
541C2×C22⋊D73C2×D411yescharacteristic
542C2×C22⋊D73C2×D411yescharacteristic
543C2×C22⋊D73C2×D411yescharacteristic
544D4×D73—22no—
545D4×D73—22no—
546D4×D73—22no—
547D4×D73—22no—
548D4×D73—22no—
549D4×D73—22no—
550D4×D73—41no—
551D4×D73—41no—
552D4×D73—41no—
553D4×D73—44no—
554D4×D73—44no—
555D4×D73—44no—
556D4×D73—82no—
557D4×D73—82no—
558D4×D73#4114yes—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C22×Dic73—21no—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73—21no—
565C22×Dic73C2×D411yescharacteristic
566C2×C4×D73—22no—
567C2×C4×D73—22no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73C2×D411yescharacteristic
575C2×C4×D73C2×D411yescharacteristic
576C2×C4×D73C2411yescharacteristic
577C2×C4×D73C2411yescharacteristic
578C2×C4×D73C2411yescharacteristic
579Dic292—41no—
580#11924017—22no—
581#11924017—41no—
582#11924016—22no—
583#11924016—41no—
584#11924016—41no—
585#11924016—41no—
586#11924013—22no—
587#11924013—41no—
588#11924012—41no—
589#11924011—22no—
590#11924011—22no—
591#11924011—41no—
592#11924011—41no—
593#11924011—41no—
594C2×#10596831—41no—
595C2×#10596831C2411yescharacteristic
596C2×#10596831C2411yescharacteristic
597C2×#10596831C2411yescharacteristic
598C2×#10596831C2411yescharacteristic
599C8×D73—22no—
600C8×D73—22no—
601C8×D73—41no—
602C4⋊Dic73—21no—
603C4⋊Dic73—21no—
604C4⋊Dic73—21no—
605C4⋊Dic73—21no—
606C4⋊Dic73—21no—
607C4⋊Dic73C2×D411yescharacteristic
608C4⋊Dic73C2411yescharacteristic
609C4⋊Dic73C2411yescharacteristic
610C4⋊Dic73C2411yescharacteristic
611C4⋊Dic73C2411yescharacteristic
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007C2×D411yescharacteristic
625#11924007C2×D411yescharacteristic
626#11924007C2×D411yescharacteristic
627#11924007C2×D411yescharacteristic
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73C2×D411yescharacteristic
641C22⋊Dic73C2×D411yescharacteristic
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005C2×D411yescharacteristic
657#11924005C2×D411yescharacteristic
658#11924005C2×D411yescharacteristic
659#11924005C2×D411yescharacteristic
660#11924005C2×D411yescharacteristic
661#11924005C2×D411yescharacteristic
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73—21no—
667C4×Dic73—21no—
668C4×Dic73—21no—
669C4×Dic73—21no—
670C4×Dic73C2411yescharacteristic
671C24×C73—21no—
672C24×C73—21no—
673C2×Q8×C73—21no—
674C2×D4×C73—22no—
675C2×D4×C73—22no—
676C2×D4×C73—21no—
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73—21no—
680C2×D4×C73—21no—
681C2×D4×C73—21no—
682C2×D4×C73—21no—
683C2×D4×C73—21no—
684C2×D4×C73—41no—
685C2×D4×C73—41no—
686C2×D4×C73—82no—
687C2×D4×C73C2×D411yescharacteristic
688C2×D4×C73C2411yescharacteristic
689C2×D4×C73C2411yescharacteristic
690C2×D4×C73C2411yescharacteristic
691C2×D4×C73C2411yescharacteristic
692C22×C4×C73—21no—
693C22×C4×C73—21no—
694C22×C4×C73C2411yescharacteristic
695C22×C4×C73C2411yescharacteristic
696D8×C73—22no—
697D8×C73—41no—
698D8×C73—41no—
699M16×C73—41no—
700M16×C73—41no—
701C2×C8×C73C2411yescharacteristic
702C2×C8×C73C2411yescharacteristic
703C2×C8×C73C2411yescharacteristic
704C2×C8×C73C2411yescharacteristic
705C4⋊C4×C73—21no—
706C4⋊C4×C73C2×D411yescharacteristic
707C4⋊C4×C73C2411yescharacteristic
708C4⋊C4×C73C2411yescharacteristic
709C4⋊C4×C73C2411yescharacteristic
710C4⋊C4×C73C2411yescharacteristic
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73—21no—
719C22⋊C4×C73C2×D411yescharacteristic
720C22⋊C4×C73C2×D411yescharacteristic
721C42×C73—21no—
722C42×C73—21no—
723C42×C73C2411yescharacteristic
724C23×C73—21no—
725C23×C73—21no—
726C23×C73—21no—
727C23×C73—21no—
728C23×C73—42no—
729C23×C73—42no—
730C23×C73—42no—
731C23×C73—81no—
732C23×C73—81no—
733C23×C73—81no—
734C23×C73C22×D411yescharacteristic
735C23×C73C22×D411yescharacteristic
736C22×D73—21no—
737C22×D73—22no—
738C22×D73—24no—
739C22×D73—21no—
740C22×D73—41no—
741C22×D73—41no—
742C22×D73—42no—
743C22×D73—42no—
744C22×D73—42no—
745C22×D73—42no—
746C22×D73—42no—
747C22×D73—42no—
748C22×D73—42no—
749C22×D73—42no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—816no—
760C22×D73C22×D411yescharacteristic
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763Q8×C73—81no—
764D4×C73—21no—
765D4×C73—21no—
766D4×C73—21no—
767D4×C73—21no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—41no—
772D4×C73—42no—
773D4×C73—42no—
774D4×C73—42no—
775D4×C73—81no—
776D4×C73—81no—
777D4×C73—81no—
778D4×C73—81no—
779D4×C73—81no—
780D4×C73C2×#4112yes—
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—81no—
790C2×C4×C73—81no—
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C22×D411yescharacteristic
793C2×C4×C73C22×D411yescharacteristic
794C2×C4×C73C22×D411yescharacteristic
795C2×C4×C73C2511yescharacteristic
796C22⋊D73—22no—
797C22⋊D73—24no—
798C22⋊D73—22no—
799C22⋊D73—41no—
800C22⋊D73—41no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—42no—
810C22⋊D73—81no—
811C22⋊D73—81no—
812C22⋊D73—81no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C22⋊D73—81no—
816C2×Dic73—22no—
817C2×Dic73—21no—
818C2×Dic73—21no—
819C2×Dic73—21no—
820C2×Dic73—21no—
821C2×Dic73—21no—
822C2×Dic73—21no—
823C2×Dic73—42no—
824C2×Dic73—42no—
825C2×Dic73—42no—
826C2×Dic73—81no—
827C2×Dic73—81no—
828C2×Dic73—81no—
829C2×Dic73C22×D411yescharacteristic
830C2×Dic73C22×D411yescharacteristic
831C2×Dic73C22×D411yescharacteristic
832C2×Dic73C22×D411yescharacteristic
833C2×Dic73C22×D411yescharacteristic
834D292—22no—
835D292—21no—
836D292—21no—
837D292—21no—
838D292—41no—
839D292—42no—
840D292—81no—
841D292C2×#4112yes—
842C4×D73—22no—
843C4×D73—21no—
844C4×D73—21no—
845C4×D73—21no—
846C4×D73—21no—
847C4×D73—22no—
848C4×D73—42no—
849C4×D73—81no—
850C4×D73—81no—
851C4×D73—81no—
852C4×D73—81no—
853C4×D73—81no—
854C4×D73C2×#4112yes—
855C4×D73H(5,𝔽2)12yes—
856Dic146—22no—
857Dic146—21no—
858Dic146—21no—
859Dic146—21no—
860Dic146—21no—
861Dic146—81no—
862C8×C73—21no—
863C8×C73—21no—
864C8×C73—21no—
865C8×C73—21no—
866#10596831—21no—
867#10596831—21no—
868#10596831—21no—
869#10596831—21no—
870C22×C73—21no—
871C22×C73—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—22no—
876C22×C73—21no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—84no—
889C22×C73—162no—
890C22×C73C23×D411yescharacteristic
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—22no—
900C2×D73—44no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—41no—
905C2×D73—41no—
906C2×D73—84no—
907C2×D73—84no—
908C2×D73—84no—
909C2×D73—84no—
910C2×D73—84no—
911C2×D73—162no—
912C2×D73#54612yes—
913C4×C73—21no—
914C4×C73—21no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—41no—
918C4×C73—41no—
919C4×C73—41no—
920C4×C73—41no—
921C4×C73C22×#4111yescharacteristic
922C4×C73C2×H(5,𝔽2)11yescharacteristic
923Dic73—21no—
924Dic73—21no—
925Dic73—21no—
926Dic73—21no—
927Dic73—41no—
928Dic73—41no—
929Dic73—41no—
930Dic73—41no—
931Dic73—41no—
932Dic73—41no—
933Dic73#54612yes—
934#61175—731nomaximal, Sylow
935C2×C73—41no—
936C2×C73—42no—
937C2×C73—41no—
938C2×C73—81no—
939C2×C73—81no—
940C2×C73—81no—
941C2×C73C2×#54611yescharacteristic
942C2×C73#358511yescharacteristic
943C2×C73#358511yescharacteristic
944D73—22no—
945D73—41no—
946D73—41no—
947D73—42no—
948D73—81no—
949#3493—731no—
950#3484—731no—
951#3325—731no—
952#3325D7311yescharacteristic, complemented
953#3324—731no—
954#3324—731no—
955#3323—731no—
956#3323—731no—
957#3322—731no—
958#3322—731no—
959#3319—731no—
960#3319—731no—
961#3318—731no—
962#3318—731no—
963#3311—731no—
964#3311—731no—
965#3310—731no—
966#3310—731no—
967#3136—731no—
968#3096—731no—
969#3093—731no—
970#3081—731no—
971#3062—731no—
972#3054—731no—
973#3045—731no—
974#3012—731no—
975#3003—731no—
976#2946—731no—
977#2930—731no—
978#2897—731no—
979C2×#418—731no—
980C73#6117511yescharacteristic, complemented, Sylow
981C2×H(5,𝔽2)—731no—
982C23×D4—731no—
983C2×AGL(1,ℤ/8)—731no—
984C2×AGL(1,ℤ/8)—731no—
985C2×#135—731no—
986C2×#131—731no—
987C22×M16—731no—
988#556—731no—
989#556—731no—
990#556—1461no—
991#555—731no—
992#555—1461no—
993#555C2×D7311yescharacteristic, complemented
994#553—731no—
995#553—731no—
996#553—1461no—
997#552—731no—
998#552—731no—
999#552—1461no—
1000#546—731no—
1001#546—731no—
1002#546—731no—
1003#546—731no—
1004#546—1461no—
1005#546—1461no—
1006D42—731no—
1007D42—731no—
1008D42—731no—
1009D42—1461no—
1010D42—1461no—
1011D42C2×D7311yescharacteristic
1012#544—731no—
1013#538—1461no—
1014#538—1461no—
1015#537—731no—
1016#535—731no—
1017#535—731no—
1018#534—1461no—
1019#534—1461no—
1020#529—1461no—
1021#529—1461no—
1022#525—731no—
1023#525—731no—
1024#525—731no—
1025C2×#120—1461no—
1026C2×#120—1461no—
1027#520—731no—
1028#520—731no—
1029#518—731no—
1030C2×#117—731no—
1031#490—731no—
1032#490—731no—
1033#489—731no—
1034#489—731no—
1035#488—731no—
1036#488—731no—
1037#486—731no—
1038#486C2×D7311yescharacteristic, complemented
1039#485—731no—
1040#485—731no—
1041#485—731no—
1042#485—731no—
1043#482—731no—
1044#482—731no—
1045#482—731no—
1046#482—731no—
1047#482—731no—
1048#482—731no—
1049#482C2×D7311yescharacteristic, complemented
1050#482C2×D7311yescharacteristic, complemented
1051#481—731no—
1052#481—731no—
1053#480—731no—
1054#480—731no—
1055#478—731no—
1056#478—731no—
1057#478—731no—
1058#478—731no—
1059#476—731no—
1060#476C2×D7311yescharacteristic, complemented
1061#474—731no—
1062#474—731no—
1063#470—731no—
1064#470—731no—
1065#469—731no—
1066#469—731no—
1067#469C2×D7311yescharacteristic, complemented
1068#469C2×D7311yescharacteristic, complemented
1069#468—731no—
1070#468—731no—
1071#468—731no—
1072#468—731no—
1073#468—731no—
1074#468—731no—
1075#466—731no—
1076#466—731no—
1077#465—731no—
1078#465—731no—
1079#464—731no—
1080#464—731no—
1081#463—731no—
1082#463—731no—
1083#460—731no—
1084#460—731no—
1085#459—731no—
1086#459C2×D7311yescharacteristic, complemented
1087#452—731no—
1088#452—731no—
1089#450—731no—
1090#450—731no—
1091#450—731no—
1092#450—731no—
1093#450—731no—
1094#450—731no—
1095#449—731no—
1096#449—731no—
1097#447—731no—
1098#447—731no—
1099#447—731no—
1100#447—731no—
1101#447C2×D7311yescharacteristic, complemented
1102#447C2×D7311yescharacteristic, complemented
1103#442—731no—
1104#442—731no—
1105#440—731no—
1106#440—731no—
1107C4×SD16—731no—
1108C4×SD16—731no—
1109C4×D8—731no—
1110C4×D8C2×D7311yescharacteristic, complemented
1111#436—731no—
1112#436—731no—
1113#436—731no—
1114#436C2×D7311yescharacteristic, complemented
1115#435—731no—
1116#435—731no—
1117#435—731no—
1118#435—731no—
1119#428—731no—
1120#428—731no—
1121#427—731no—
1122#424—731no—
1123#418—731no—
1124#418—731no—
1125#418—731no—
1126#418—731no—
1127#418—731no—
1128#418—731no—
1129#418—731no—
1130#418—731no—
1131#418—731no—
1132#418—731no—
1133#418C2×D7311yescharacteristic, complemented
1134#418C2×D7311yescharacteristic, complemented
1135#417—731no—
1136#417—731no—
1137#417—731no—
1138#417—731no—
1139#416—731no—
1140#416—731no—
1141#416—731no—
1142#416—731no—
1143C2×#102—731no—
1144C2×#102—731no—
1145C2×#102—731no—
1146C2×#102—731no—
1147C2×#102—731no—
1148C2×#102—731no—
1149#408—731no—
1150#407—731no—
1151#405—731no—
1152C25—1461no—
1153H(5,𝔽2)—2922no—
1154H(5,𝔽2)—1464no—
1155C2×#41—731no—
1156C2×#41—731no—
1157C2×#41—731no—
1158C2×#41—731no—
1159C2×#41—731no—
1160C2×#41—1461no—
1161C22×D4—21no—
1162C22×D4—2922no—
1163C22×D4—731no—
1164C22×D4—731no—
1165C22×D4—731no—
1166C22×D4—731no—
1167C22×D4—731no—
1168C22×D4—731no—
1169C22×D4—1461no—
1170C22×D4—1461no—
1171C22×D4—1461no—
1172C22×D4—1461no—
1173C22×D4—1464no—
1174C22×D4—1461no—
1175C22×D4—1461no—
1176C22×D4—1461no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4C22×D7311yescharacteristic
1180C22×D4C22×D7311yescharacteristic
1181C23×C4—731no—
1182AGL(1,ℤ/8)—2922no—
1183AGL(1,ℤ/8)—1464no—
1184#135—2922no—
1185C2×Q16—731no—
1186C2×SD16—731no—
1187C2×SD16—731no—
1188C2×SD16—731no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×D8—731no—
1193C2×D8—731no—
1194C2×D8C22×D7311yescharacteristic
1195C2×D8C22×D7311yescharacteristic
1196C2×D8C22×D7311yescharacteristic, complemented
1197#131—2922no—
1198C2×M16—2922no—
1199C2×M16—731no—
1200C2×M16—731no—
1201C2×M16—731no—
1202C2×M16—731no—
1203C2×M16—731no—
1204C2×M16—731no—
1205C2×M16C22×D7311yescharacteristic
1206C2×M16C22×D7311yescharacteristic, complemented
1207C22×C8—731no—
1208C22×C8—731no—
1209C22×C8—731no—
1210C22×C8—731no—
1211C4⋊Q8—731no—
1212C4⋊Q8—1461no—
1213C4⋊Q8C22×D7311yescharacteristic, complemented
1214#127—731no—
1215#127—1461no—
1216#127C22×D7311yescharacteristic
1217#126—1461no—
1218#126—1461no—
1219#126—1461no—
1220#126—1461no—
1221#126—1461no—
1222#126—1461no—
1223#126—1461no—
1224#126—1461no—
1225#125—731no—
1226#125—731no—
1227#125—1461no—
1228#125—1461no—
1229#125—1461no—
1230#124—21no—
1231#124—21no—
1232#124—731no—
1233#124—731no—
1234#124—1461no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124—1461no—
1239#123—731no—
1240#123—731no—
1241#123—1461no—
1242#123—1461no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251C22⋊Q8—731no—
1252C22⋊Q8—731no—
1253C22⋊Q8—731no—
1254C22⋊Q8—731no—
1255C22⋊Q8—731no—
1256C22⋊Q8—731no—
1257C22⋊Q8—731no—
1258C22⋊Q8—731no—
1259C22⋊Q8—1461no—
1260C22⋊Q8—1461no—
1261C22⋊Q8—1461no—
1262#121—21no—
1263#121—21no—
1264#121—731no—
1265#121—731no—
1266#121—731no—
1267#121—731no—
1268#121—731no—
1269#121—731no—
1270#121—731no—
1271#121—731no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121—1461no—
1281#121—1461no—
1282#121—1461no—
1283#121—1461no—
1284#121—1461no—
1285#121—1461no—
1286#121—1461no—
1287#121C22×D7311yescharacteristic
1288#121C22×D7311yescharacteristic
1289#121C22×D7311yescharacteristic
1290#121C22×D7311yescharacteristic, complemented
1291#120—21no—
1292#120—21no—
1293#120—731no—
1294#120—731no—
1295#120—1461no—
1296#120—1461no—
1297#120—1461no—
1298#120—1461no—
1299#120—1461no—
1300#120—1461no—
1301#120—1461no—
1302#120—1461no—
1303#120—1461no—
1304#120—1461no—
1305#120—1461no—
1306#120—1461no—
1307#120—1461no—
1308#120—1461no—
1309#120—1461no—
1310#120—1461no—
1311C4×Q8—731no—
1312C4×Q8—731no—
1313C4×Q8—1461no—
1314C4×Q8—1461no—
1315C4×Q8—1461no—
1316C4×D4—731no—
1317C4×D4—731no—
1318C4×D4—731no—
1319C4×D4—731no—
1320C4×D4—731no—
1321C4×D4—731no—
1322C4×D4—731no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4—1461no—
1328C4×D4—1461no—
1329C4×D4—1461no—
1330C4×D4—1461no—
1331C4×D4—1461no—
1332C4×D4—1461no—
1333C4×D4—1461no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4C22×D7311yescharacteristic
1337C4×D4C22×D7311yescharacteristic
1338C4×D4C22×D7311yescharacteristic, complemented
1339#117—21no—
1340#117—731no—
1341#117—731no—
1342#117—731no—
1343#117—731no—
1344#117—731no—
1345#117—731no—
1346#117—731no—
1347#117—1461no—
1348#117—1461no—
1349#117—1461no—
1350#117—1461no—
1351#117—1461no—
1352#117—1461no—
1353#117C22×D7311yescharacteristic
1354#117C22×D7311yescharacteristic, complemented
1355C2×C4⋊C4—731no—
1356C2×C4⋊C4—731no—
1357C2×C4⋊C4—731no—
1358C2×C4⋊C4—731no—
1359C2×C4⋊C4—1461no—
1360C2×C22⋊C4—1461no—
1361C2×C22⋊C4—1461no—
1362C2×C22⋊C4—1461no—
1363C2×C22⋊C4—1461no—
1364C2×C22⋊C4—1461no—
1365C2×C22⋊C4—1461no—
1366C2×C22⋊C4—1461no—
1367C2×C42—1461no—
1368#107—731no—
1369#107—731no—
1370#107—731no—
1371#107—731no—
1372#107—731no—
1373#107C22×D7311yescharacteristic, complemented
1374#106—731no—
1375#106—731no—
1376#106—731no—
1377#106—731no—
1378#106C22×D7311yescharacteristic, complemented
1379#106C22×D7311yescharacteristic, complemented
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8—731no—
1383C4⋊C8C22×D7311yescharacteristic, complemented
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102—731no—
1399#102—731no—
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102C22×D7311yescharacteristic
1415#102C22×D7311yescharacteristic
1416#102C22×D7311yescharacteristic
1417#102C22×D7311yescharacteristic
1418#102C22×D7311yescharacteristic
1419#102C22×D7311yescharacteristic
1420#102C22×D7311yescharacteristic, complemented
1421#102C22×D7311yescharacteristic, complemented
1422#102C22×D7311yescharacteristic, complemented
1423#102C22×D7311yescharacteristic, complemented
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8C22×D7311yescharacteristic
1431C22⋊C8C22×D7311yescharacteristic, complemented
1432#97—731no—
1433#97—731no—
1434C4×C8—731no—
1435C4×C8C22×D7311yescharacteristic, complemented
1436C24—21no—
1437C24—21no—
1438C24—2924no—
1439C24—5842no—
1440C24—5842no—
1441C24—731no—
1442C24—1461no—
1443C24—1461no—
1444C24—1461no—
1445C24—1461no—
1446C24—1461no—
1447C24—1461no—
1448#41—2921no—
1449#41—2924no—
1450#41—2921no—
1451#41—1462no—
1452#41—1462no—
1453#41—1462no—
1454#41—1462no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458#41—1462no—
1459C2×Q8—21no—
1460C2×Q8—731no—
1461C2×Q8—731no—
1462C2×Q8—731no—
1463C2×Q8—1461no—
1464C2×D4—22no—
1465C2×D4—22no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—41no—
1475C2×D4—41no—
1476C2×D4—82no—
1477C2×D4—2921no—
1478C2×D4—2924no—
1479C2×D4—2924no—
1480C2×D4—2924no—
1481C2×D4—2921no—
1482C2×D4—2921no—
1483C2×D4—2921no—
1484C2×D4—2924no—
1485C2×D4—2924no—
1486C2×D4—2924no—
1487C2×D4—5842no—
1488C2×D4—5842no—
1489C2×D4—5842no—
1490C2×D4—731no—
1491C2×D4—731no—
1492C2×D4—734no—
1493C2×D4—731no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—1462no—
1500C2×D4—1461no—
1501C2×D4—1462no—
1502C2×D4—1462no—
1503C2×D4—1462no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1462no—
1512C2×D4—1462no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1462no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4D4×D7311yescharacteristic
1525C2×D4C23×D7311yescharacteristic
1526C2×D4C23×D7311yescharacteristic
1527C2×D4C23×D7311yescharacteristic
1528C2×D4C23×D7311yescharacteristic
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1462no—
1542C22×C4—1462no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4C23×D7311yescharacteristic
1552C22×C4C23×D7311yescharacteristic
1553Q16—2921no—
1554SD16—2921no—
1555SD16—2921no—
1556SD16—2921no—
1557SD16—2921no—
1558SD16—1462no—
1559SD16—1462no—
1560D8—22no—
1561D8—41no—
1562D8—41no—
1563D8—2921no—
1564D8—1462no—
1565M16—41no—
1566M16—41no—
1567M16—2921no—
1568M16—2921no—
1569M16—2921no—
1570M16—2921no—
1571M16—1462no—
1572M16—1462no—
1573C2×C8—2921no—
1574C2×C8—2921no—
1575C2×C8—731no—
1576C2×C8—731no—
1577C2×C8—731no—
1578C2×C8—731no—
1579C2×C8—1462no—
1580C2×C8—1462no—
1581C2×C8C23×D7311yescharacteristic
1582C2×C8C23×D7311yescharacteristic
1583C2×C8C23×D7311yescharacteristic
1584C2×C8C23×D7311yescharacteristic
1585C4⋊C4—21no—
1586C4⋊C4—731no—
1587C4⋊C4—731no—
1588C4⋊C4—731no—
1589C4⋊C4—731no—
1590C4⋊C4—731no—
1591C4⋊C4—731no—
1592C4⋊C4—731no—
1593C4⋊C4—731no—
1594C4⋊C4—731no—
1595C4⋊C4—1461no—
1596C4⋊C4—1461no—
1597C4⋊C4—1461no—
1598C4⋊C4—1461no—
1599C4⋊C4—1461no—
1600C4⋊C4—1461no—
1601C4⋊C4—1461no—
1602C4⋊C4—1461no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4D4×D7311yescharacteristic
1613C4⋊C4C23×D7311yescharacteristic
1614C4⋊C4C23×D7311yescharacteristic
1615C4⋊C4C23×D7311yescharacteristic
1616C4⋊C4C23×D7311yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—731no—
1626C22⋊C4—731no—
1627C22⋊C4—731no—
1628C22⋊C4—731no—
1629C22⋊C4—731no—
1630C22⋊C4—731no—
1631C22⋊C4—731no—
1632C22⋊C4—731no—
1633C22⋊C4—1461no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4D4×D7311yescharacteristic
1660C22⋊C4D4×D7311yescharacteristic
1661C42—21no—
1662C42—21no—
1663C42—731no—
1664C42—1461no—
1665C42—1461no—
1666C42—1461no—
1667C42—1461no—
1668C42—1461no—
1669C42—1461no—
1670C42—1461no—
1671C42—1461no—
1672C42C23×D7311yescharacteristic
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—42no—
1678C23—42no—
1679C23—42no—
1680C23—81no—
1681C23—81no—
1682C23—81no—
1683C23—2921no—
1684C23—2921no—
1685C23—2922no—
1686C23—2922no—
1687C23—2922no—
1688C23—2922no—
1689C23—2922no—
1690C23—2922no—
1691C23—2922no—
1692C23—2922no—
1693C23—5841no—
1694C23—5841no—
1695C23—5841no—
1696C23—5841no—
1697C23—5841no—
1698C23—5841no—
1699C23—5841no—
1700C23—5841no—
1701C23—5841no—
1702C23—58416no—
1703C23—731no—
1704C23—731no—
1705C23—731no—
1706C23—1462no—
1707C23—1464no—
1708C23—1461no—
1709C23—1461no—
1710C23C2×D4×D7311yescharacteristic
1711C23C2×D4×D7311yescharacteristic
1712Q8—81no—
1713Q8—5841no—
1714Q8—1462no—
1715Q8—1461no—
1716Q8—1461no—
1717Q8—1461no—
1718Q8—1461no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—41no—
1727D4—42no—
1728D4—42no—
1729D4—42no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—2922no—
1736D4—2921no—
1737D4—2922no—
1738D4—2922no—
1739D4—2922no—
1740D4—2922no—
1741D4—2922no—
1742D4—2922no—
1743D4—2922no—
1744D4—2921no—
1745D4—2921no—
1746D4—2922no—
1747D4—2922no—
1748D4—5841no—
1749D4—5841no—
1750D4—5841no—
1751D4—5841no—
1752D4—5841no—
1753D4—5841no—
1754D4—5841no—
1755D4—732no—
1756D4—1462no—
1757D4—1464no—
1758D4—1462no—
1759D4—1462no—
1760D4—1461no—
1761D4—1461no—
1762D4—1461no—
1763D4#41×D7312yes—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—81no—
1773C2×C4—81no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—2922no—
1777C2×C4—2922no—
1778C2×C4—5841no—
1779C2×C4—5841no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—5841no—
1786C2×C4—731no—
1787C2×C4—732no—
1788C2×C4—732no—
1789C2×C4—731no—
1790C2×C4—731no—
1791C2×C4—731no—
1792C2×C4—731no—
1793C2×C4—1462no—
1794C2×C4—1462no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1462no—
1802C2×C4—1461no—
1803C2×C4—1461no—
1804C2×C4—1461no—
1805C2×C4—1461no—
1806C2×C4C2×D4×D7311yescharacteristic
1807C2×C4C2×D4×D7311yescharacteristic
1808C2×C4C2×D4×D7311yescharacteristic
1809C2×C4C2×D4×D7311yescharacteristic
1810C2×C4C24×D7311yescharacteristic
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C8—1461no—
1816C8—1461no—
1817C8—1461no—
1818C8—1461no—
1819C22—21no—
1820C22—21no—
1821C22—22no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—84no—
1838C22—162no—
1839C22—2924no—
1840C22—2921no—
1841C22—2921no—
1842C22—2921no—
1843C22—2921no—
1844C22—2921no—
1845C22—5844no—
1846C22—5844no—
1847C22—5844no—
1848C22—5844no—
1849C22—5844no—
1850C22—732no—
1851C22—11682no—
1852C22—1462no—
1853C22—1461no—
1854C22—1461no—
1855C22—1461no—
1856C22—1461no—
1857C22—1461no—
1858C22—1461no—
1859C22—1461no—
1860C22—1461no—
1861C22C22×D4×D7311yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—2921no—
1871C4—2921no—
1872C4—2921no—
1873C4—2921no—
1874C4—2921no—
1875C4—2921no—
1876C4—732no—
1877C4—1461no—
1878C4—1461no—
1879C4—1461no—
1880C4—1461no—
1881C4C2×#41×D7311yescharacteristic
1882C4H(5,𝔽2)×D7311yescharacteristic
1883C2—41no—
1884C2—41no—
1885C2—42no—
1886C2—81no—
1887C2—81no—
1888C2—81no—
1889C2—2921no—
1890C2—2922no—
1891C2—2921no—
1892C2—5841no—
1893C2—1462no—
1894C2#546×D7311yescharacteristic
1895C2#2262470611yescharacteristic
1896C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3325C2
socleC22×C73C23×D4
hypercenter#3325D73
hypocenterC73#61175
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3325

Complements

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

NH ≅ G/Ntype
1. #22623642C2semidirect
2. #22623559C2semidirect
3. #22622168C2semidirect
4. #22622161C2semidirect
5. #22622158C2semidirect
6. #22622149C2semidirect
7. #22622143C2semidirect
8. #22622137C2semidirect
9. #22622127C2semidirect
10. #22622081C2semidirect
11. #22622080C2semidirect
12. #22622079C2semidirect
13. #22622076C2semidirect
14. #22621965C2semidirect
15. #22621964C2semidirect
16. #22621955C2semidirect
17. #22621952C2semidirect
18. #22620280C2semidirect
19. #22619884C2semidirect
20. #22619859C2semidirect
21. #22619757C2semidirect
22. #22619608C2semidirect
23. #22619538C2semidirect
24. #22619465C2semidirect
25. #22619230C2semidirect
26. #22619155C2semidirect
27. #22618756C2semidirect
28. #22618631C2semidirect
29. #22618456C2semidirect
30. #418×D73C2semidirect
31. C73×#3325C2semidirect
35. C2×#14556615C22semidirect
36. C2×#14556610C22semidirect
37. C2×#14556599C22semidirect
38. C2×M16×D73C22semidirect
39. #17989311C22semidirect
41. #17989305C22semidirect
42. #17989301C22semidirect
44. #17989289C22semidirect
45. #17989287C22semidirect
47. #17989277C22semidirect
48. #17989276C22semidirect
61. #17989214C22semidirect
64. #17989166C22semidirect
72. #17989097C22semidirect
76. #17989067C22semidirect
77. #17989066C22semidirect
79. #117×D73C22semidirect
80. #17988951C22semidirect
81. #17988950C22semidirect
82. #17988949C22semidirect
83. #17988945C22semidirect
84. #17988942C22semidirect
85. #17988940C22semidirect
86. #17988932C22semidirect
87. #17988931C22semidirect
88. #17988930C22semidirect
89. #17988929C22semidirect
90. #17988928C22semidirect
91. #17988913C22semidirect
92. #17988911C22semidirect
93. #17988910C22semidirect
94. #17988910C22semidirect
95. #17988909C22semidirect
96. #17988908C22semidirect
97. #17988906C22semidirect
98. #17988904C22semidirect
99. #17988902C22semidirect
100. #17988898C22semidirect
101. #17988889C22semidirect
102. #17988888C22semidirect
103. #17988887C22semidirect
104. #17988886C22semidirect
105. #17988876C22semidirect
106. #17988865C22semidirect
107. #17988864C22semidirect
108. #17988846C22semidirect
109. #17988845C22semidirect
110. #17988839C22semidirect
111. #17988837C22semidirect
112. #17988833C22semidirect
113. #17988832C22semidirect
114. #17988832C22semidirect
115. #17988832C22semidirect
116. #17988831C22semidirect
117. #17988831C22semidirect
118. #17988821C22semidirect
119. #17988820C22semidirect
120. #17988817C22semidirect
121. #17988814C22semidirect
122. #17988810C22semidirect
123. #17988808C22semidirect
124. #17988802C22semidirect
125. #17988800C22semidirect
126. #17988786C22semidirect
127. #17988784C22semidirect
128. #17988780C22semidirect
129. #17988751C22semidirect
130. #17988750C22semidirect
131. #17988740C22semidirect
132. #17988739C22semidirect
133. #17988739C22semidirect
134. #17988739C22semidirect
135. #17988738C22semidirect
136. #17988738C22semidirect
137. #17988730C22semidirect
138. #17988729C22semidirect
139. #17988720C22semidirect
140. #17988719C22semidirect
141. #17988719C22semidirect
142. #17988719C22semidirect
143. #17988699C22semidirect
144. #17988697C22semidirect
145. #17988687C22semidirect
146. #17988686C22semidirect
147. #17988678C22semidirect
148. C4×#11924017C22semidirect
149. #17988667C22semidirect
150. #17988666C22semidirect
151. #17988663C22semidirect
152. #17988663C22semidirect
153. #17988661C22semidirect
154. #17988659C22semidirect
155. #17988657C22semidirect
156. #17988655C22semidirect
157. #17988628C22semidirect
158. #17988626C22semidirect
159. #17988622C22semidirect
160. #17988612C22semidirect
161. #17988593C22semidirect
162. #17988592C22semidirect
163. #17988591C22semidirect
165. #17988590C22semidirect
166. #17988590C22semidirect
167. #17988590C22semidirect
168. #17988590C22semidirect
169. #17988590C22semidirect
170. #17988590C22semidirect
171. #17988589C22semidirect
172. #17988585C22semidirect
173. #17988585C22semidirect
174. #17988585C22semidirect
175. #17988581C22semidirect
176. #17988580C22semidirect
177. #17988580C22semidirect
178. #17988580C22semidirect
179. C2×#14556512C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988552C22semidirect
186. #17988549C22semidirect
187. #17988541C22semidirect
188. #555×C73C22semidirect
190. #486×C73C22semidirect
191. #482×C73C22semidirect
192. #482×C73C22semidirect
193. #476×C73C22semidirect
194. #469×C73C22semidirect
195. #469×C73C22semidirect
196. #459×C73C22semidirect
197. #447×C73C22semidirect
198. #447×C73C22semidirect
199. C4×D8×C73C22semidirect
200. #436×C73C22semidirect
201. #418×C73C22semidirect
202. #418×C73C22semidirect
233. C2×Dic292C23semidirect
238. C2×#11924016C23semidirect
239. C2×#11924016C23semidirect
248. C2×#11924011C23semidirect
250. C22×#10596831C23semidirect
253. C2×C8×D73C23semidirect
254. #14556590C23semidirect
267. #14556583C23semidirect
268. #14556582C23semidirect
292. #14556571C23semidirect
295. #14556570C23semidirect
323. #14556562C23semidirect
345. C4×Dic146C23semidirect
346. #14556556C23semidirect
354. D4×Dic73C23semidirect
372. #14556549C23semidirect
380. C2×C4⋊Dic73C23semidirect
384. C4⋊C4×D73C23semidirect
393. #14556525C23semidirect
394. #14556524C23semidirect
395. #14556524C23semidirect
396. #14556524C23semidirect
397. #14556524C23semidirect
398. #14556523C23semidirect
399. #14556523C23semidirect
400. #14556522C23semidirect
401. #14556522C23semidirect
402. C4⋊#10596831C23semidirect
403. #14556520C23semidirect
404. #14556520C23semidirect
405. #14556516C23semidirect
406. #14556516C23semidirect
407. #14556516C23semidirect
408. #14556516C23semidirect
409. #14556514C23semidirect
410. #14556514C23semidirect
411. #14556514C23semidirect
412. #14556514C23semidirect
425. #14556512C23semidirect
426. #14556512C23semidirect
427. #14556512C23semidirect
428. #14556512C23semidirect
436. C22⋊#10596831C23semidirect
439. #14556503C23semidirect
440. #14556503C23semidirect
441. #14556502C23semidirect
442. #14556501C23semidirect
443. C8×Dic73C23semidirect
449. C2×D8×C73C23semidirect
451. C2×M16×C73C23semidirect
452. C4⋊Q8×C73C23semidirect
461. #121×C73C23semidirect
466. C4×D4×C73C23semidirect
469. #117×C73C23semidirect
470. #107×C73C23semidirect
471. #106×C73C23semidirect
472. #106×C73C23semidirect
473. C4⋊C8×C73C23semidirect
480. #102×C73C23semidirect
481. #102×C73C23semidirect
482. #102×C73C23semidirect
483. #102×C73C23semidirect
485. C22⋊C8×C73C23semidirect
486. C4×C8×C73C23semidirect
952. #3325D73semidirect
980. C73#61175semidirect
993. #555C2×D73semidirect
1038. #486C2×D73semidirect
1049. #482C2×D73semidirect
1050. #482C2×D73semidirect
1060. #476C2×D73semidirect
1067. #469C2×D73semidirect
1068. #469C2×D73semidirect
1086. #459C2×D73semidirect
1101. #447C2×D73semidirect
1102. #447C2×D73semidirect
1110. C4×D8C2×D73semidirect
1114. #436C2×D73semidirect
1133. #418C2×D73semidirect
1134. #418C2×D73semidirect
1196. C2×D8C22×D73semidirect
1206. C2×M16C22×D73semidirect
1213. C4⋊Q8C22×D73semidirect
1290. #121C22×D73semidirect
1338. C4×D4C22×D73semidirect
1354. #117C22×D73semidirect
1373. #107C22×D73semidirect
1378. #106C22×D73semidirect
1379. #106C22×D73semidirect
1383. C4⋊C8C22×D73semidirect
1420. #102C22×D73semidirect
1421. #102C22×D73semidirect
1422. #102C22×D73semidirect
1423. #102C22×D73semidirect
1431. C22⋊C8C22×D73semidirect
1435. C4×C8C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226236422
#226235592
#226221682
#226221612
#226221582
#226221492
#226221432
#226221372
#226221272
#226220812
#226220802
#226220792
#226220762
#226219652
#226219642
#226219552
#226219522
#226202802
#226198842
#226198592
#226197572
#226196082
#226195382
#226194652
#226192302
#226191552
#226187562
#226186312
#226184562
#418×D732
C73×#33252
#6117573