Finite Group Databasebeta

← #33963968

Subgroups — #33963968

Order 18688.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623849C211yesmaximal, characteristic, complemented
2#22623691C211yesmaximal, characteristic, complemented
3#22622149C211yesmaximal, characteristic, complemented
4#22622144C211yesmaximal, characteristic, complemented
5#22622139C211yesmaximal, characteristic, complemented
6#22622076C211yesmaximal, characteristic, complemented
7#22622067C211yesmaximal, characteristic, complemented
8#22622028C211yesmaximal, characteristic, complemented
9#22622025C211yesmaximal, characteristic, complemented
10#22621953C211yesmaximal, characteristic, complemented
11#22621950C211yesmaximal, characteristic, complemented
12#22621911C211yesmaximal, characteristic, complemented
13#22621902C211yesmaximal, characteristic, complemented
14#22621786C211yesmaximal, characteristic, complemented
15#22621775C211yesmaximal, characteristic, complemented
16#22621766C211yesmaximal, characteristic, complemented
17#22621765C211yesmaximal, characteristic, complemented
18#22620328C211yesmaximal, characteristic, complemented
19#22619917C211yesmaximal, characteristic, complemented
20#22619904C211yesmaximal, characteristic, complemented
21#478×D73C211yesmaximal, characteristic, complemented
22#22619599C211yesmaximal, characteristic, complemented
23#22619591C211yesmaximal, characteristic, complemented
24#22619383C211yesmaximal, characteristic, complemented
25#22619233C211yesmaximal, characteristic, complemented
26#22619230C211yesmaximal, characteristic, complemented
27C4×#14556615C211yesmaximal, characteristic, complemented
28#22618676C211yesmaximal, characteristic, complemented
29#22618456C211yesmaximal, characteristic, complemented
30#22618455C211yesmaximal, characteristic, complemented
31C73×#3322C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#14556636C2211yescharacteristic
34C2×#14556615C2211yescharacteristic
35C2×#14556612C2211yescharacteristic, complemented
36C2×#14556610C2211yescharacteristic, complemented
37C2×#14556599C2211yescharacteristic, complemented
38C2×#14556599C2211yescharacteristic, complemented
39#17989289C2211yescharacteristic, complemented
40#17989288—21no—
41#17989287—21no—
42#17989287C2211yescharacteristic, complemented
43#17989284—21no—
44#17989284C2211yescharacteristic, complemented
45#17989282—21no—
46#17989277C2211yescharacteristic, complemented
47#17989276C2211yescharacteristic, complemented
48#17989275C2211yescharacteristic, complemented
49#17989272C2211yescharacteristic, complemented
50#17989239C2211yescharacteristic
51#17989236C2211yescharacteristic
52#17989235—21no—
53#17989233C2211yescharacteristic
54#17989232C2211yescharacteristic
55#17989230C2211yescharacteristic
56#17989227—21no—
57#17989226—21no—
58#17989221C2211yescharacteristic
59D4×C22⋊D73C2211yescharacteristic
60#17989219—21no—
61#17989194—21no—
62#17989187—21no—
63#17989167C2211yescharacteristic
64#17989166C2211yescharacteristic
65#17989166C2211yescharacteristic, complemented
66#17989166C2211yescharacteristic, complemented
67#17989148—21no—
68#17989147—21no—
69#17989136C2211yescharacteristic
70#17989134C2211yescharacteristic
71#17989117—21no—
72#17989114—21no—
73#125×D73C2211yescharacteristic, complemented
74C2×#14556564—21no—
75#121×D73—21no—
76#17989068C2211yescharacteristic, complemented
77#17989067C2211yescharacteristic, complemented
78C4×#11924027C2211yescharacteristic, complemented
79C4×D4×D73C2211yescharacteristic
80#17988954C2211yescharacteristic, complemented
81#17988954C2211yescharacteristic, complemented
82#17988950C2211yescharacteristic, complemented
83#17988950C2211yescharacteristic, complemented
84#17988944C2211yescharacteristic, complemented
85#17988942C2211yescharacteristic, complemented
86#17988941C2211yescharacteristic, complemented
87#17988930C2211yescharacteristic, complemented
88#17988929C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988922C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988915C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988908C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988906C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic, complemented
103#17988888C2211yescharacteristic, complemented
104#17988887C2211yescharacteristic, complemented
105#17988886C2211yescharacteristic, complemented
106#17988885C2211yescharacteristic, complemented
107#17988884C2211yescharacteristic, complemented
108#17988846C2211yescharacteristic, complemented
109#17988845C2211yescharacteristic, complemented
110#17988837C2211yescharacteristic, complemented
111#17988834C2211yescharacteristic, complemented
112#17988833C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988827C2211yescharacteristic, complemented
115#17988826C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic, complemented
117#17988821C2211yescharacteristic, complemented
118#17988815C2211yescharacteristic, complemented
119#17988815C2211yescharacteristic, complemented
120#17988814C2211yescharacteristic, complemented
121#17988814C2211yescharacteristic, complemented
122#17988810C2211yescharacteristic, complemented
123#17988806C2211yescharacteristic, complemented
124#17988802C2211yescharacteristic, complemented
125#17988796C2211yescharacteristic, complemented
126#17988790C2211yescharacteristic, complemented
127#17988786C2211yescharacteristic, complemented
128#17988780C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988749C2211yescharacteristic, complemented
133#17988740C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic, complemented
135#17988739C2211yescharacteristic, complemented
136#17988738C2211yescharacteristic, complemented
137#17988731C2211yescharacteristic, complemented
138#17988730C2211yescharacteristic, complemented
139#17988729C2211yescharacteristic, complemented
140#17988720C2211yescharacteristic, complemented
141#17988719C2211yescharacteristic, complemented
142#17988719C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic, complemented
144#17988696C2211yescharacteristic, complemented
145#17988686C2211yescharacteristic, complemented
146#17988684C2211yescharacteristic, complemented
147C4×#11924017C2211yescharacteristic, complemented
148C4×#11924016C2211yescharacteristic, complemented
149C4×#11924013C2211yescharacteristic, complemented
150#17988664C2211yescharacteristic, complemented
151#17988656C2211yescharacteristic, complemented
152#17988656C2211yescharacteristic, complemented
153#17988655C2211yescharacteristic, complemented
154#17988655C2211yescharacteristic, complemented
155C8×D292C2211yescharacteristic, complemented
156D4×#10596831C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic, complemented
158#107×D73C2211yescharacteristic, complemented
159#106×D73C2211yescharacteristic, complemented
160C4⋊C8×D73C2211yescharacteristic, complemented
161#17988593C2211yescharacteristic, complemented
162#17988590C2211yescharacteristic
163#17988590C2211yescharacteristic, complemented
164#17988590C2211yescharacteristic, complemented
165#17988589C2211yescharacteristic, complemented
166#17988587C2211yescharacteristic, complemented
167#17988587C2211yescharacteristic, complemented
168#17988587C2211yescharacteristic, complemented
169#17988585C2211yescharacteristic, complemented
170#17988585C2211yescharacteristic, complemented
171#17988585C2211yescharacteristic, complemented
172#17988585C2211yescharacteristic, complemented
173#17988583C2211yescharacteristic, complemented
174#17988582C2211yescharacteristic, complemented
175#17988582C2211yescharacteristic, complemented
176#17988581C2211yescharacteristic, complemented
177#17988580C2211yescharacteristic, complemented
178#17988580C2211yescharacteristic, complemented
179C2×#14556512C2211yescharacteristic, complemented
180C2×#14556511C2211yescharacteristic, complemented
181#102×D73C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187C4×#11924011C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202#417×C73C2211yescharacteristic, complemented
203#14556637—24no—
204#14556637—42no—
205#14556636—24no—
206#14556636—42no—
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924027—21no—
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217C22×D292—21no—
218C22×D292C2311yescharacteristic
219C22×C22⋊D73—21no—
220C22×C22⋊D73—21no—
221C22×C22⋊D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C22×C4×D73—21no—
230#14556615—24no—
231#14556612—42no—
232#14556610—42no—
233C2×Dic292C2311yescharacteristic
234C2×#11924018C2311yescharacteristic
235C2×#11924017C2311yescharacteristic
236C2×#11924017C2311yescharacteristic
237C2×#11924016C2311yescharacteristic
238C2×#11924016C2311yescharacteristic
239C2×#11924016C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242#14556599—42no—
243#14556599—42no—
244C2×#11924011C2311yescharacteristic
245C2×#11924011C2311yescharacteristic
246C2×#11924011C2311yescharacteristic
247C2×#11924011C2311yescharacteristic
248C22×#10596831C2311yescharacteristic
249C22×#10596831C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251C2×C8×D73C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254#14556590D411yescharacteristic
255#14556589C2311yescharacteristic
256#14556587D411yescharacteristic
257#14556587C2311yescharacteristic
258#14556586—21no—
259#14556586—21no—
260#14556584—21no—
261#14556584—21no—
262#14556584—21no—
263#14556584—21no—
264#14556584—21no—
265#14556583—21no—
266#14556583C2311yescharacteristic
267#14556582—21no—
268#14556582C2311yescharacteristic
269#14556582C2311yescharacteristic
270#14556581—21no—
271#14556581—21no—
272#14556581—21no—
273#14556581—21no—
274#14556579C2311yescharacteristic
275#14556577D411yescharacteristic
276#14556577D411yescharacteristic
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556575—21no—
281#14556575—21no—
282#14556574—21no—
283#14556574—21no—
284#14556574—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556572—21no—
289#14556572—21no—
290#14556572—21no—
291#14556571C2311yescharacteristic
292#14556571C2311yescharacteristic
293#14556571C2311yescharacteristic
294#14556570C2311yescharacteristic
295#14556570C2311yescharacteristic
296#14556570C2311yescharacteristic
297#14556569—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556567C2311yescharacteristic
302#14556566—21no—
303#14556566D411yescharacteristic
304#14556566C2311yescharacteristic
305#14556565—21no—
306#14556565C2311yescharacteristic
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564D411yescharacteristic
320#14556564D411yescharacteristic
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556562—21no—
328#14556562—21no—
329#14556562—21no—
330#14556562—21no—
331#14556562D411yescharacteristic
332#14556562C2311yescharacteristic
333#14556562C2311yescharacteristic
334#14556562C2311yescharacteristic
335#14556561—21no—
336#14556561—21no—
337#14556561—21no—
338#14556560—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342C4×Dic146—21no—
343C4×Dic146C2311yescharacteristic
344#14556556—21no—
345#14556556C2311yescharacteristic
346C4×D292—21no—
347C4×D292C2311yescharacteristic
348C4×D292C2311yescharacteristic
349D4×Dic73—21no—
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352#14556553—21no—
353#14556553C2311yescharacteristic
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
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#14556551—21no—
368#14556550—21no—
369#14556550C2311yescharacteristic
370#14556549—21no—
371#14556549C2311yescharacteristic
372#14556549C2311yescharacteristic
373#14556549C2311yescharacteristic
374#14556548—21no—
375#14556547—21no—
376#14556547—21no—
377C2×C4⋊Dic73C2311yescharacteristic
378C2×#11924007—21no—
379C4⋊C4×D73—21no—
380C4⋊C4×D73—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73C2311yescharacteristic
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C4⋊C4×D73C2311yescharacteristic
386C4⋊C4×D73C2311yescharacteristic
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C2×C4×Dic73—21no—
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556501C2311yescharacteristic
442#14556501C2311yescharacteristic
443C4×#10596831C2311yescharacteristic
444C2×#41×C73C2311yescharacteristic
445C22×D4×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×M16×C73C2311yescharacteristic
450C2×M16×C73C2311yescharacteristic
451#126×C73—21no—
452#125×C73C2311yescharacteristic
453#124×C73C2311yescharacteristic
454#123×C73—21no—
455#123×C73—21no—
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73—21no—
458#121×C73—21no—
459#121×C73C2311yescharacteristic
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic
462#120×C73—21no—
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467#117×C73C2311yescharacteristic
468C2×C4⋊C4×C73C2311yescharacteristic
469C2×C22⋊C4×C73—21no—
470#107×C73C2311yescharacteristic
471#107×C73C2311yescharacteristic
472#106×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic
486C4×C8×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490C23×D73—21no—
491#11924029—22no—
492#11924029—22no—
493#11924029—22no—
494#11924029—41no—
495#11924028—22no—
496#11924028—22no—
497#11924028—22no—
498#11924028—22no—
499#11924028—22no—
500#11924028—41no—
501#11924028—44no—
502#11924027—22no—
503#11924027—22no—
504#11924027—22no—
505#11924027—22no—
506#11924027—22no—
507#11924027—41no—
508#11924027—44no—
509C2×Dic146C2×D411yescharacteristic
510C2×Dic146C2×D411yescharacteristic
511C2×Dic146C2411yescharacteristic
512C2×Dic146C2411yescharacteristic
513C2×D292—22no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—41no—
519C2×D292—44no—
520C2×D292C2×D411yescharacteristic
521C2×D292C2×D411yescharacteristic
522C2×D292C2×D411yescharacteristic
523C2×D292C2411yescharacteristic
524C2×D292C2411yescharacteristic
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—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—44no—
539C2×C22⋊D73—44no—
540C2×C22⋊D73—82no—
541C2×C22⋊D73C2×D411yescharacteristic
542C2×C22⋊D73C2×D411yescharacteristic
543C2×C22⋊D73C2×D411yescharacteristic
544C2×C22⋊D73C2×D411yescharacteristic
545C2×C22⋊D73C2×D411yescharacteristic
546C2×C22⋊D73C2×D411yescharacteristic
547D4×D73—22no—
548D4×D73—22no—
549D4×D73—22no—
550D4×D73—41no—
551D4×D73—41no—
552D4×D73—44no—
553D4×D73—44no—
554D4×D73—44no—
555D4×D73—82no—
556D4×D73#4114yes—
557C22×Dic73—21no—
558C22×Dic73—21no—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C22×Dic73—21no—
562C22×Dic73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—82no—
574C2×C4×D73C2×D411yescharacteristic
575C2×C4×D73C2×D411yescharacteristic
576C2×C4×D73C2411yescharacteristic
577C2×C4×D73C2411yescharacteristic
578C2×C4×D73C2411yescharacteristic
579Dic292—41no—
580#11924018—41no—
581#11924017—22no—
582#11924017—41no—
583#11924016—22no—
584#11924016—41no—
585#11924016—41no—
586#11924013—22no—
587#11924013—41no—
588#11924011—22no—
589#11924011—22no—
590#11924011—41no—
591#11924011—41no—
592C2×#10596831—41no—
593C2×#10596831—41no—
594C2×#10596831C2411yescharacteristic
595C2×#10596831C2411yescharacteristic
596C2×#10596831C2411yescharacteristic
597C2×#10596831C2411yescharacteristic
598C8×D73—22no—
599C8×D73—22no—
600C8×D73—41no—
601C8×D73—41no—
602C4⋊Dic73—21no—
603C4⋊Dic73—21no—
604C4⋊Dic73—21no—
605C4⋊Dic73—21no—
606C4⋊Dic73—21no—
607C4⋊Dic73—21no—
608C4⋊Dic73C2×D411yescharacteristic
609C4⋊Dic73C2411yescharacteristic
610C4⋊Dic73C2411yescharacteristic
611C4⋊Dic73C2411yescharacteristic
612C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007C2×D411yescharacteristic
631#11924007C2×D411yescharacteristic
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⋊Dic73—21no—
641C22⋊Dic73C2×D411yescharacteristic
642C22⋊Dic73C2×D411yescharacteristic
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
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73C2×D411yescharacteristic
667C4×Dic73C2×D411yescharacteristic
668C4×Dic73C2411yescharacteristic
669C24×C73—21no—
670#41×C73—22no—
671#41×C73—41no—
672C2×Q8×C73C2411yescharacteristic
673C2×D4×C73—22no—
674C2×D4×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—21no—
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73—41no—
680C2×D4×C73C2×D411yescharacteristic
681C2×D4×C73C2411yescharacteristic
682C2×D4×C73C2411yescharacteristic
683C2×D4×C73C2411yescharacteristic
684C22×C4×C73—21no—
685C22×C4×C73—21no—
686C22×C4×C73—21no—
687C22×C4×C73—21no—
688C22×C4×C73C2411yescharacteristic
689C22×C4×C73C2411yescharacteristic
690SD16×C73—41no—
691D8×C73—22no—
692D8×C73—41no—
693M16×C73—41no—
694M16×C73—41no—
695C2×C8×C73C2411yescharacteristic
696C2×C8×C73C2411yescharacteristic
697C2×C8×C73C2411yescharacteristic
698C2×C8×C73C2411yescharacteristic
699C4⋊C4×C73—21no—
700C4⋊C4×C73—21no—
701C4⋊C4×C73—21no—
702C4⋊C4×C73—21no—
703C4⋊C4×C73C2×D411yescharacteristic
704C4⋊C4×C73C2411yescharacteristic
705C4⋊C4×C73C2411yescharacteristic
706C4⋊C4×C73C2411yescharacteristic
707C4⋊C4×C73C2411yescharacteristic
708C22⋊C4×C73—21no—
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
718C22⋊C4×C73C2×D411yescharacteristic
719C42×C73—21no—
720C42×C73C2411yescharacteristic
721C23×C73—21no—
722C23×C73—21no—
723C23×C73—21no—
724C23×C73—42no—
725C23×C73—81no—
726C23×C73—81no—
727C23×C73C22×D411yescharacteristic
728C23×C73C22×D411yescharacteristic
729C22×D73—21no—
730C22×D73—24no—
731C22×D73—21no—
732C22×D73—42no—
733C22×D73—42no—
734C22×D73—42no—
735C22×D73—81no—
736C22×D73—81no—
737C22×D73—81no—
738C22×D73—81no—
739C22×D73—81no—
740C22×D73—81no—
741C22×D73—81no—
742C22×D73—81no—
743C22×D73C22×D411yescharacteristic
744C22×D73C22×D411yescharacteristic
745C22×D73C22×D411yescharacteristic
746Q8×C73—21no—
747Q8×C73—21no—
748D4×C73—21no—
749D4×C73—21no—
750D4×C73—21no—
751D4×C73—21no—
752D4×C73—21no—
753D4×C73—41no—
754D4×C73—42no—
755D4×C73—42no—
756D4×C73—81no—
757D4×C73—81no—
758D4×C73—81no—
759D4×C73C2×#4112yes—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—42no—
770C2×C4×C73—81no—
771C2×C4×C73—81no—
772C2×C4×C73—81no—
773C2×C4×C73C22×D411yescharacteristic
774C2×C4×C73C22×D411yescharacteristic
775C2×C4×C73C22×D411yescharacteristic
776C2×C4×C73C22×D411yescharacteristic
777C2×C4×C73C2511yescharacteristic
778C22⋊D73—22no—
779C22⋊D73—22no—
780C22⋊D73—24no—
781C22⋊D73—22no—
782C22⋊D73—22no—
783C22⋊D73—41no—
784C22⋊D73—41no—
785C22⋊D73—42no—
786C22⋊D73—42no—
787C22⋊D73—42no—
788C22⋊D73—42no—
789C22⋊D73—42no—
790C22⋊D73—42no—
791C22⋊D73—42no—
792C22⋊D73—81no—
793C22⋊D73—81no—
794C22⋊D73—81no—
795C22⋊D73—81no—
796C22⋊D73—81no—
797C2×Dic73—21no—
798C2×Dic73—21no—
799C2×Dic73—21no—
800C2×Dic73—21no—
801C2×Dic73—21no—
802C2×Dic73—21no—
803C2×Dic73—42no—
804C2×Dic73—42no—
805C2×Dic73—42no—
806C2×Dic73—42no—
807C2×Dic73—81no—
808C2×Dic73—81no—
809C2×Dic73C22×D411yescharacteristic
810C2×Dic73C22×D411yescharacteristic
811C2×Dic73C22×D411yescharacteristic
812C2×Dic73C22×D411yescharacteristic
813C2×Dic73C22×D411yescharacteristic
814D292—22no—
815D292—22no—
816D292—21no—
817D292—21no—
818D292—21no—
819D292—41no—
820D292—42no—
821D292—42no—
822D292—42no—
823D292—81no—
824D292C2×#4112yes—
825C4×D73—21no—
826C4×D73—21no—
827C4×D73—21no—
828C4×D73—21no—
829C4×D73—41no—
830C4×D73—41no—
831C4×D73—42no—
832C4×D73—42no—
833C4×D73—42no—
834C4×D73—42no—
835C4×D73—81no—
836C4×D73—81no—
837C4×D73—81no—
838C4×D73—81no—
839C4×D73—81no—
840C4×D73—81no—
841C4×D73C2×#4112yes—
842C4×D73H(5,𝔽2)12yes—
843Dic146—22no—
844Dic146—22no—
845Dic146—21no—
846Dic146—21no—
847Dic146—21no—
848Dic146—21no—
849C8×C73—21no—
850C8×C73—21no—
851C8×C73—21no—
852C8×C73—21no—
853#10596831—21no—
854#10596831—21no—
855#10596831—21no—
856#10596831—21no—
857C22×C73—21no—
858C22×C73—21no—
859C22×C73—21no—
860C22×C73—21no—
861C22×C73—22no—
862C22×C73—21no—
863C22×C73—21no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—41no—
867C22×C73—41no—
868C22×C73—41no—
869C22×C73—41no—
870C22×C73—41no—
871C22×C73—41no—
872C22×C73—162no—
873C22×C73C23×D411yescharacteristic
874C2×D73—21no—
875C2×D73—21no—
876C2×D73—21no—
877C2×D73—21no—
878C2×D73—21no—
879C2×D73—21no—
880C2×D73—21no—
881C2×D73—21no—
882C2×D73—22no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—41no—
886C2×D73—41no—
887C2×D73—41no—
888C2×D73—84no—
889C2×D73—162no—
890C2×D73—162no—
891C2×D73—162no—
892C2×D73#54612yes—
893C4×C73—21no—
894C4×C73—21no—
895C4×C73—21no—
896C4×C73—21no—
897C4×C73—41no—
898C4×C73—41no—
899C4×C73—41no—
900C4×C73—41no—
901C4×C73—41no—
902C4×C73C22×#4111yescharacteristic
903C4×C73C2×H(5,𝔽2)11yescharacteristic
904Dic73—21no—
905Dic73—21no—
906Dic73—21no—
907Dic73—21no—
908Dic73—41no—
909Dic73—41no—
910Dic73—41no—
911Dic73—41no—
912Dic73—41no—
913Dic73—41no—
914Dic73#54612yes—
915#61201—731nomaximal, Sylow
916C2×C73—42no—
917C2×C73—41no—
918C2×C73—41no—
919C2×C73—81no—
920C2×C73—81no—
921C2×C73C2×#54611yescharacteristic
922C2×C73#358411yescharacteristic
923C2×C73#358511yescharacteristic
924D73—22no—
925D73—41no—
926D73—41no—
927D73—42no—
928D73—81no—
929#3512—731no—
930#3496—731no—
931#3323—731no—
932#3323—731no—
933#3322—731no—
934#3322D7311yescharacteristic, complemented
935#3318—731no—
936#3318—731no—
937#3315—731no—
938#3315—731no—
939#3310—731no—
940#3310—731no—
941#3307—731no—
942#3307—731no—
943#3297—731no—
944#3297—731no—
945#3296—731no—
946#3296—731no—
947#3142—731no—
948#3099—731no—
949#3098—731no—
950C2×#478—731no—
951#3061—731no—
952#3060—731no—
953#3035—731no—
954#3012—731no—
955#3012—731no—
956C4×AGL(1,ℤ/8)—731no—
957#2935—731no—
958#2897—731no—
959#2897—731no—
960C73#6120111yescharacteristic, complemented, Sylow
961C2×H(5,𝔽2)—731no—
962C2×H(5,𝔽2)—731no—
963C2×AGL(1,ℤ/8)—731no—
964C2×#135—731no—
965C2×#135—731no—
966C2×#131—731no—
967C2×#131—731no—
968#553—731no—
969#553—731no—
970#553—731no—
971#553—1461no—
972#553—1461no—
973#553—1461no—
974#553—1461no—
975#553C2×D7311yescharacteristic, complemented
976#552—731no—
977#552—731no—
978#552—731no—
979#552—731no—
980#547—731no—
981#547—731no—
982#547—1461no—
983#546—731no—
984#546—731no—
985#546—731no—
986#546—1461no—
987#546—1461no—
988#546C2×D7311yescharacteristic
989D42—731no—
990D42—731no—
991D42—1461no—
992#541—1461no—
993#540—1461no—
994#537—731no—
995#537—731no—
996#537—731no—
997#537—731no—
998#534—1461no—
999#534—1461no—
1000#532—731no—
1001#532—731no—
1002#529—1461no—
1003#529—1461no—
1004C2×#125—731no—
1005C2×#121—1461no—
1006C2×#121—1461no—
1007#520—731no—
1008#520—731no—
1009C4×#41—731no—
1010C2×C4×D4—731no—
1011#491—731no—
1012#491—731no—
1013#490—731no—
1014#490—731no—
1015#488—731no—
1016#488—731no—
1017#488—731no—
1018#488C2×D7311yescharacteristic, complemented
1019#485—731no—
1020#485—731no—
1021#485—731no—
1022#485C2×D7311yescharacteristic, complemented
1023#484—731no—
1024#484—731no—
1025#483—731no—
1026#483—731no—
1027#482—731no—
1028#482—731no—
1029#482—731no—
1030#482—731no—
1031#481—731no—
1032#481—731no—
1033#480—731no—
1034#480C2×D7311yescharacteristic, complemented
1035#478—731no—
1036#478—731no—
1037#478—731no—
1038#478—731no—
1039#478—731no—
1040#478—731no—
1041#478—731no—
1042#478C2×D7311yescharacteristic, complemented
1043#470—731no—
1044#470—731no—
1045#469—731no—
1046#469C2×D7311yescharacteristic, complemented
1047#468—731no—
1048#468—731no—
1049#468—731no—
1050#468C2×D7311yescharacteristic, complemented
1051#467—731no—
1052#467—731no—
1053#466—731no—
1054#466—731no—
1055#465—731no—
1056#465—731no—
1057#465—731no—
1058#465—731no—
1059#464—731no—
1060#464—731no—
1061#463—731no—
1062#463C2×D7311yescharacteristic, complemented
1063#462—731no—
1064#461—731no—
1065#460—731no—
1066#459—731no—
1067#452—731no—
1068#452—731no—
1069#452—731no—
1070#452—731no—
1071#450—731no—
1072#450—731no—
1073#450—731no—
1074#450—731no—
1075#449—731no—
1076#449—731no—
1077#449—731no—
1078#449C2×D7311yescharacteristic, complemented
1079#447—731no—
1080#447—731no—
1081#447—731no—
1082#447C2×D7311yescharacteristic, complemented
1083#442—731no—
1084#442—731no—
1085#440—731no—
1086#440—731no—
1087C4×SD16—731no—
1088C4×SD16—731no—
1089C4×D8—731no—
1090C4×D8C2×D7311yescharacteristic, complemented
1091#436—731no—
1092#436C2×D7311yescharacteristic, complemented
1093#435—731no—
1094#435—731no—
1095#435—731no—
1096#435—731no—
1097C8×D4—731no—
1098C8×D4—731no—
1099#428—731no—
1100C2×#107—731no—
1101C2×#106—731no—
1102C2×C4⋊C8—731no—
1103#418—731no—
1104#418—731no—
1105#418—731no—
1106#418—731no—
1107#418C2×D7311yescharacteristic, complemented
1108#417—731no—
1109#417—731no—
1110#417—731no—
1111#417—731no—
1112#417—731no—
1113#417—731no—
1114#417—731no—
1115#417—731no—
1116#417C2×D7311yescharacteristic, complemented
1117#416—731no—
1118#416—731no—
1119#416—731no—
1120#416—731no—
1121#416—731no—
1122#416—731no—
1123C2×#102—731no—
1124C2×#102—731no—
1125C2×#102—731no—
1126C2×#102—731no—
1127C2×#102—731no—
1128C2×#102—731no—
1129#408—731no—
1130#408—731no—
1131C4×M16—731no—
1132H(5,𝔽2)—2922no—
1133H(5,𝔽2)—2922no—
1134H(5,𝔽2)—1464no—
1135H(5,𝔽2)—1464no—
1136C2×#41—731no—
1137C2×#41—731no—
1138C2×#41—731no—
1139C2×#41—731no—
1140C2×#41—731no—
1141C2×#41—731no—
1142C2×#41—731no—
1143C2×#41—731no—
1144C2×#41—1461no—
1145C2×#41—1461no—
1146C2×#41C22×D7311yescharacteristic
1147C22×D4—731no—
1148C22×D4—731no—
1149C22×D4—731no—
1150C22×D4—731no—
1151C22×D4—1461no—
1152C22×D4—1461no—
1153C22×D4—1461no—
1154C22×D4—1461no—
1155C22×D4—1461no—
1156C22×D4—1461no—
1157C22×D4—1461no—
1158C22×D4—1461no—
1159C22×D4C22×D7311yescharacteristic
1160C23×C4—1461no—
1161AGL(1,ℤ/8)—1464no—
1162#135—2922no—
1163#135—2922no—
1164C2×Q16—731no—
1165C2×Q16—731no—
1166C2×SD16—731no—
1167C2×SD16—731no—
1168C2×SD16—731no—
1169C2×SD16—731no—
1170C2×SD16—731no—
1171C2×SD16C22×D7311yescharacteristic
1172C2×D8—731no—
1173C2×D8—731no—
1174C2×D8C22×D7311yescharacteristic
1175C2×D8C22×D7311yescharacteristic
1176#131—2922no—
1177#131—2922no—
1178C2×M16—731no—
1179C2×M16—731no—
1180C2×M16—731no—
1181C2×M16—731no—
1182C2×M16C22×D7311yescharacteristic
1183C2×M16C22×D7311yescharacteristic
1184C22×C8—731no—
1185C22×C8—731no—
1186C22×C8—731no—
1187C22×C8—731no—
1188C22×C8—731no—
1189C22×C8—731no—
1190C4⋊Q8—731no—
1191C4⋊Q8—731no—
1192#127—731no—
1193#127—731no—
1194#126—21no—
1195#126—1461no—
1196#126—1461no—
1197#126—1461no—
1198#126—1461no—
1199#126—1461no—
1200#126—1461no—
1201#126—1461no—
1202#125—731no—
1203#125—731no—
1204#125—731no—
1205#125—1461no—
1206#125—1461no—
1207#125—1461no—
1208#125—1461no—
1209#125—1461no—
1210#125—1461no—
1211#125C22×D7311yescharacteristic
1212#124—731no—
1213#124—731no—
1214#124—731no—
1215#124C22×D7311yescharacteristic
1216#123—21no—
1217#123—21no—
1218#123—1461no—
1219#123—1461no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223#123—1461no—
1224#123—1461no—
1225#123—1461no—
1226#123—1461no—
1227#123—1461no—
1228#123—1461no—
1229#123—1461no—
1230#123—1461no—
1231#123—1461no—
1232C22⋊Q8—731no—
1233C22⋊Q8—731no—
1234C22⋊Q8—731no—
1235C22⋊Q8—731no—
1236C22⋊Q8—731no—
1237C22⋊Q8—731no—
1238C22⋊Q8—731no—
1239C22⋊Q8—1461no—
1240C22⋊Q8—1461no—
1241C22⋊Q8—1461no—
1242C22⋊Q8—1461no—
1243C22⋊Q8C22×D7311yescharacteristic
1244#121—21no—
1245#121—21no—
1246#121—731no—
1247#121—731no—
1248#121—731no—
1249#121—731no—
1250#121—731no—
1251#121—731no—
1252#121—731no—
1253#121—731no—
1254#121—731no—
1255#121—1461no—
1256#121—1461no—
1257#121—1461no—
1258#121—1461no—
1259#121—1461no—
1260#121—1461no—
1261#121—1461no—
1262#121—1461no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121C22×D7311yescharacteristic
1280#121C22×D7311yescharacteristic
1281#121C22×D7311yescharacteristic
1282#120—21no—
1283#120—1461no—
1284#120—1461no—
1285#120—1461no—
1286#120—1461no—
1287#120—1461no—
1288#120—1461no—
1289#120—1461no—
1290C4×Q8—731no—
1291C4×Q8—731no—
1292C4×Q8—1461no—
1293C4×Q8—1461no—
1294C4×D4—21no—
1295C4×D4—731no—
1296C4×D4—731no—
1297C4×D4—731no—
1298C4×D4—731no—
1299C4×D4—731no—
1300C4×D4—731no—
1301C4×D4—731no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4—1461no—
1305C4×D4—1461no—
1306C4×D4—1461no—
1307C4×D4—1461no—
1308C4×D4—1461no—
1309C4×D4—1461no—
1310C4×D4—1461no—
1311C4×D4—1461no—
1312C4×D4—1461no—
1313C4×D4—1461no—
1314C4×D4—1461no—
1315C4×D4—1461no—
1316C4×D4—1461no—
1317C4×D4C22×D7311yescharacteristic
1318C4×D4C22×D7311yescharacteristic
1319C4×D4C22×D7311yescharacteristic
1320#117—731no—
1321#117—731no—
1322#117—731no—
1323#117—731no—
1324#117—1461no—
1325#117—1461no—
1326#117—1461no—
1327#117—1461no—
1328#117—1461no—
1329#117C22×D7311yescharacteristic
1330C2×C4⋊C4—731no—
1331C2×C4⋊C4—731no—
1332C2×C4⋊C4—731no—
1333C2×C4⋊C4—731no—
1334C2×C4⋊C4—731no—
1335C2×C4⋊C4—731no—
1336C2×C4⋊C4—1461no—
1337C2×C4⋊C4—1461no—
1338C2×C4⋊C4—1461no—
1339C2×C4⋊C4—1461no—
1340C2×C4⋊C4C22×D7311yescharacteristic
1341C2×C22⋊C4—21no—
1342C2×C22⋊C4—1461no—
1343C2×C22⋊C4—1461no—
1344C2×C22⋊C4—1461no—
1345C2×C22⋊C4—1461no—
1346C2×C42—731no—
1347C2×C42—1461no—
1348#107—731no—
1349#107—731no—
1350#107—731no—
1351#107—731no—
1352#107C22×D7311yescharacteristic
1353#107C22×D7311yescharacteristic
1354#106—731no—
1355#106—731no—
1356#106—731no—
1357#106—731no—
1358#106—731no—
1359#106C22×D7311yescharacteristic
1360C4⋊C8—731no—
1361C4⋊C8—731no—
1362C4⋊C8—731no—
1363C4⋊C8C22×D7311yescharacteristic
1364#103—731no—
1365#103—731no—
1366#103—731no—
1367#103—731no—
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103—731no—
1372#103—731no—
1373#103—731no—
1374#103—731no—
1375#103C22×D7311yescharacteristic
1376#103C22×D7311yescharacteristic
1377#103C22×D7311yescharacteristic
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102—731no—
1396#102—731no—
1397#102C22×D7311yescharacteristic
1398#102C22×D7311yescharacteristic
1399#102C22×D7311yescharacteristic
1400#102C22×D7311yescharacteristic
1401#102C22×D7311yescharacteristic
1402#102C22×D7311yescharacteristic
1403#102C22×D7311yescharacteristic
1404C22⋊C8—731no—
1405C22⋊C8—731no—
1406C22⋊C8—731no—
1407C22⋊C8—731no—
1408C22⋊C8—731no—
1409C22⋊C8—731no—
1410C22⋊C8C22×D7311yescharacteristic
1411C22⋊C8C22×D7311yescharacteristic
1412#97—731no—
1413#97—731no—
1414C4×C8—731no—
1415C4×C8C22×D7311yescharacteristic
1416C24—21no—
1417C24—1461no—
1418C24—1461no—
1419C24—1461no—
1420C24—1461no—
1421#41—22no—
1422#41—41no—
1423#41—2921no—
1424#41—2924no—
1425#41—2924no—
1426#41—2921no—
1427#41—2921no—
1428#41—1462no—
1429#41—1462no—
1430#41—1462no—
1431#41—1462no—
1432#41—1462no—
1433#41—1462no—
1434#41—1462no—
1435#41—1462no—
1436#41—1462no—
1437#41—1462no—
1438#41—1462no—
1439#41—1462no—
1440#41—1462no—
1441C2×Q8—731no—
1442C2×Q8—731no—
1443C2×Q8—731no—
1444C2×Q8—731no—
1445C2×Q8C23×D7311yescharacteristic
1446C2×D4—22no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—41no—
1453C2×D4—2921no—
1454C2×D4—2924no—
1455C2×D4—2924no—
1456C2×D4—2924no—
1457C2×D4—2924no—
1458C2×D4—2924no—
1459C2×D4—2924no—
1460C2×D4—2921no—
1461C2×D4—2921no—
1462C2×D4—5842no—
1463C2×D4—5842no—
1464C2×D4—731no—
1465C2×D4—731no—
1466C2×D4—734no—
1467C2×D4—731no—
1468C2×D4—731no—
1469C2×D4—731no—
1470C2×D4—731no—
1471C2×D4—731no—
1472C2×D4—731no—
1473C2×D4—731no—
1474C2×D4—731no—
1475C2×D4—731no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4—1462no—
1479C2×D4—1461no—
1480C2×D4—1462no—
1481C2×D4—1461no—
1482C2×D4—1461no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4—1461no—
1486C2×D4—1462no—
1487C2×D4—1461no—
1488C2×D4—1461no—
1489C2×D4—1461no—
1490C2×D4—1461no—
1491C2×D4—1462no—
1492C2×D4—1461no—
1493C2×D4—1461no—
1494C2×D4—1461no—
1495C2×D4—1461no—
1496C2×D4—1461no—
1497C2×D4D4×D7311yescharacteristic
1498C2×D4C23×D7311yescharacteristic
1499C2×D4C23×D7311yescharacteristic
1500C2×D4C23×D7311yescharacteristic
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—21no—
1505C22×C4—5842no—
1506C22×C4—731no—
1507C22×C4—731no—
1508C22×C4—731no—
1509C22×C4—731no—
1510C22×C4—731no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4—1461no—
1515C22×C4—1461no—
1516C22×C4—1461no—
1517C22×C4—1461no—
1518C22×C4—1461no—
1519C22×C4—1461no—
1520C22×C4—1461no—
1521C22×C4—1461no—
1522C22×C4—1461no—
1523C22×C4—1461no—
1524C22×C4—1461no—
1525C22×C4—1461no—
1526C22×C4—1461no—
1527C22×C4C23×D7311yescharacteristic
1528C22×C4C23×D7311yescharacteristic
1529Q16—2921no—
1530Q16—2921no—
1531SD16—41no—
1532SD16—2921no—
1533SD16—2921no—
1534SD16—2921no—
1535SD16—1462no—
1536SD16—1462no—
1537D8—22no—
1538D8—41no—
1539D8—2921no—
1540D8—1462no—
1541M16—41no—
1542M16—41no—
1543M16—2921no—
1544M16—2921no—
1545M16—1462no—
1546M16—1462no—
1547C2×C8—2921no—
1548C2×C8—2921no—
1549C2×C8—2921no—
1550C2×C8—2921no—
1551C2×C8—731no—
1552C2×C8—731no—
1553C2×C8—731no—
1554C2×C8—731no—
1555C2×C8—1462no—
1556C2×C8—1462no—
1557C2×C8C23×D7311yescharacteristic
1558C2×C8C23×D7311yescharacteristic
1559C2×C8C23×D7311yescharacteristic
1560C2×C8C23×D7311yescharacteristic
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—731no—
1566C4⋊C4—731no—
1567C4⋊C4—731no—
1568C4⋊C4—731no—
1569C4⋊C4—731no—
1570C4⋊C4—731no—
1571C4⋊C4—731no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4—1461no—
1582C4⋊C4—1461no—
1583C4⋊C4—1461no—
1584C4⋊C4—1461no—
1585C4⋊C4—1461no—
1586C4⋊C4—1461no—
1587C4⋊C4—1461no—
1588C4⋊C4—1461no—
1589C4⋊C4—1461no—
1590C4⋊C4—1461no—
1591C4⋊C4—1461no—
1592C4⋊C4—1461no—
1593C4⋊C4—1461no—
1594C4⋊C4—1461no—
1595C4⋊C4D4×D7311yescharacteristic
1596C4⋊C4C23×D7311yescharacteristic
1597C4⋊C4C23×D7311yescharacteristic
1598C4⋊C4C23×D7311yescharacteristic
1599C4⋊C4C23×D7311yescharacteristic
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—731no—
1610C22⋊C4—731no—
1611C22⋊C4—731no—
1612C22⋊C4—731no—
1613C22⋊C4—731no—
1614C22⋊C4—731no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4—1461no—
1629C22⋊C4—1461no—
1630C22⋊C4—1461no—
1631C22⋊C4—1461no—
1632C22⋊C4—1461no—
1633C22⋊C4—1461no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4D4×D7311yescharacteristic
1638C22⋊C4D4×D7311yescharacteristic
1639C42—21no—
1640C42—731no—
1641C42—731no—
1642C42—731no—
1643C42—1461no—
1644C42—1461no—
1645C42—1461no—
1646C42—1461no—
1647C42—1461no—
1648C42—1461no—
1649C42C23×D7311yescharacteristic
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—42no—
1654C23—81no—
1655C23—81no—
1656C23—2922no—
1657C23—2922no—
1658C23—2922no—
1659C23—5841no—
1660C23—5841no—
1661C23—5841no—
1662C23—5841no—
1663C23—5841no—
1664C23—5841no—
1665C23—5841no—
1666C23—5841no—
1667C23—731no—
1668C23—731no—
1669C23—731no—
1670C23—1464no—
1671C23—1461no—
1672C23—1461no—
1673C23C2×D4×D7311yescharacteristic
1674C23C2×D4×D7311yescharacteristic
1675Q8—21no—
1676Q8—21no—
1677Q8—1462no—
1678Q8—1462no—
1679Q8—1461no—
1680Q8—1461no—
1681Q8—1461no—
1682Q8—1461no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—21no—
1687D4—21no—
1688D4—41no—
1689D4—42no—
1690D4—42no—
1691D4—81no—
1692D4—81no—
1693D4—81no—
1694D4—2922no—
1695D4—2921no—
1696D4—2922no—
1697D4—2922no—
1698D4—2922no—
1699D4—2922no—
1700D4—2922no—
1701D4—2922no—
1702D4—2922no—
1703D4—2921no—
1704D4—2921no—
1705D4—2922no—
1706D4—2922no—
1707D4—5841no—
1708D4—5841no—
1709D4—5841no—
1710D4—5841no—
1711D4—5841no—
1712D4—5841no—
1713D4—732no—
1714D4—1462no—
1715D4—1462no—
1716D4—1464no—
1717D4—1462no—
1718D4—1462no—
1719D4—1462no—
1720D4—1462no—
1721D4—1461no—
1722D4—1461no—
1723D4—1461no—
1724D4#41×D7312yes—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—42no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—2922no—
1739C2×C4—2921no—
1740C2×C4—2921no—
1741C2×C4—2922no—
1742C2×C4—2922no—
1743C2×C4—2922no—
1744C2×C4—2922no—
1745C2×C4—2922no—
1746C2×C4—2922no—
1747C2×C4—2922no—
1748C2×C4—5841no—
1749C2×C4—5841no—
1750C2×C4—5841no—
1751C2×C4—5841no—
1752C2×C4—5841no—
1753C2×C4—5841no—
1754C2×C4—5841no—
1755C2×C4—5841no—
1756C2×C4—731no—
1757C2×C4—732no—
1758C2×C4—732no—
1759C2×C4—731no—
1760C2×C4—731no—
1761C2×C4—731no—
1762C2×C4—731no—
1763C2×C4—1461no—
1764C2×C4—1461no—
1765C2×C4—1461no—
1766C2×C4—1461no—
1767C2×C4—1461no—
1768C2×C4—1461no—
1769C2×C4—1461no—
1770C2×C4—1461no—
1771C2×C4—1461no—
1772C2×C4—1461no—
1773C2×C4C2×D4×D7311yescharacteristic
1774C2×C4C2×D4×D7311yescharacteristic
1775C2×C4C2×D4×D7311yescharacteristic
1776C2×C4C2×D4×D7311yescharacteristic
1777C2×C4C24×D7311yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—1461no—
1783C8—1461no—
1784C8—1461no—
1785C8—1461no—
1786C22—21no—
1787C22—21no—
1788C22—22no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—162no—
1802C22—2921no—
1803C22—2921no—
1804C22—2921no—
1805C22—2921no—
1806C22—2921no—
1807C22—5844no—
1808C22—732no—
1809C22—11682no—
1810C22—11682no—
1811C22—11682no—
1812C22—1462no—
1813C22—1461no—
1814C22—1461no—
1815C22—1461no—
1816C22—1461no—
1817C22—1461no—
1818C22—1461no—
1819C22—1461no—
1820C22—1461no—
1821C22C22×D4×D7311yescharacteristic
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—2921no—
1832C4—2921no—
1833C4—2921no—
1834C4—2921no—
1835C4—2921no—
1836C4—2921no—
1837C4—732no—
1838C4—1461no—
1839C4—1461no—
1840C4—1461no—
1841C4—1461no—
1842C4C2×#41×D7311yescharacteristic
1843C4H(5,𝔽2)×D7311yescharacteristic
1844C2—41no—
1845C2—41no—
1846C2—42no—
1847C2—81no—
1848C2—81no—
1849C2—2922no—
1850C2—2921no—
1851C2—2921no—
1852C2—5841no—
1853C2—1462no—
1854C2#546×D7311yescharacteristic
1855C2#2262470411yescharacteristic
1856C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3322C2
socleC22×C73C23×D4
hypercenter#3322D73
hypocenterC73#61201
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #22623849C2semidirect
2. #22623691C2semidirect
3. #22622149C2semidirect
4. #22622144C2semidirect
5. #22622139C2semidirect
6. #22622076C2semidirect
7. #22622067C2semidirect
8. #22622028C2semidirect
9. #22622025C2semidirect
10. #22621953C2semidirect
11. #22621950C2semidirect
12. #22621911C2semidirect
13. #22621902C2semidirect
14. #22621786C2semidirect
15. #22621775C2semidirect
16. #22621766C2semidirect
17. #22621765C2semidirect
18. #22620328C2semidirect
19. #22619917C2semidirect
20. #22619904C2semidirect
21. #478×D73C2semidirect
22. #22619599C2semidirect
23. #22619591C2semidirect
24. #22619383C2semidirect
25. #22619233C2semidirect
26. #22619230C2semidirect
27. C4×#14556615C2semidirect
28. #22618676C2semidirect
29. #22618456C2semidirect
30. #22618455C2semidirect
31. C73×#3322C2semidirect
35. C2×#14556612C22semidirect
36. C2×#14556610C22semidirect
37. C2×#14556599C22semidirect
38. C2×#14556599C22semidirect
39. #17989289C22semidirect
42. #17989287C22semidirect
44. #17989284C22semidirect
46. #17989277C22semidirect
47. #17989276C22semidirect
48. #17989275C22semidirect
49. #17989272C22semidirect
65. #17989166C22semidirect
66. #17989166C22semidirect
73. #125×D73C22semidirect
76. #17989068C22semidirect
77. #17989067C22semidirect
78. C4×#11924027C22semidirect
80. #17988954C22semidirect
81. #17988954C22semidirect
82. #17988950C22semidirect
83. #17988950C22semidirect
84. #17988944C22semidirect
85. #17988942C22semidirect
86. #17988941C22semidirect
87. #17988930C22semidirect
88. #17988929C22semidirect
89. #17988926C22semidirect
90. #17988924C22semidirect
91. #17988922C22semidirect
92. #17988916C22semidirect
93. #17988915C22semidirect
94. #17988914C22semidirect
95. #17988911C22semidirect
96. #17988910C22semidirect
97. #17988908C22semidirect
98. #17988907C22semidirect
99. #17988906C22semidirect
100. #17988899C22semidirect
101. #17988890C22semidirect
102. #17988889C22semidirect
103. #17988888C22semidirect
104. #17988887C22semidirect
105. #17988886C22semidirect
106. #17988885C22semidirect
107. #17988884C22semidirect
108. #17988846C22semidirect
109. #17988845C22semidirect
110. #17988837C22semidirect
111. #17988834C22semidirect
112. #17988833C22semidirect
113. #17988830C22semidirect
114. #17988827C22semidirect
115. #17988826C22semidirect
116. #17988822C22semidirect
117. #17988821C22semidirect
118. #17988815C22semidirect
119. #17988815C22semidirect
120. #17988814C22semidirect
121. #17988814C22semidirect
122. #17988810C22semidirect
123. #17988806C22semidirect
124. #17988802C22semidirect
125. #17988796C22semidirect
126. #17988790C22semidirect
127. #17988786C22semidirect
128. #17988780C22semidirect
129. #17988752C22semidirect
130. #17988751C22semidirect
131. #17988750C22semidirect
132. #17988749C22semidirect
133. #17988740C22semidirect
134. #17988739C22semidirect
135. #17988739C22semidirect
136. #17988738C22semidirect
137. #17988731C22semidirect
138. #17988730C22semidirect
139. #17988729C22semidirect
140. #17988720C22semidirect
141. #17988719C22semidirect
142. #17988719C22semidirect
143. #17988699C22semidirect
144. #17988696C22semidirect
145. #17988686C22semidirect
146. #17988684C22semidirect
147. C4×#11924017C22semidirect
148. C4×#11924016C22semidirect
149. C4×#11924013C22semidirect
150. #17988664C22semidirect
151. #17988656C22semidirect
152. #17988656C22semidirect
153. #17988655C22semidirect
154. #17988655C22semidirect
155. C8×D292C22semidirect
156. D4×#10596831C22semidirect
157. #17988628C22semidirect
158. #107×D73C22semidirect
159. #106×D73C22semidirect
160. C4⋊C8×D73C22semidirect
161. #17988593C22semidirect
163. #17988590C22semidirect
164. #17988590C22semidirect
165. #17988589C22semidirect
166. #17988587C22semidirect
167. #17988587C22semidirect
168. #17988587C22semidirect
169. #17988585C22semidirect
170. #17988585C22semidirect
171. #17988585C22semidirect
172. #17988585C22semidirect
173. #17988583C22semidirect
174. #17988582C22semidirect
175. #17988582C22semidirect
176. #17988581C22semidirect
177. #17988580C22semidirect
178. #17988580C22semidirect
179. C2×#14556512C22semidirect
180. C2×#14556511C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988552C22semidirect
186. #17988552C22semidirect
187. C4×#11924011C22semidirect
188. #553×C73C22semidirect
190. #488×C73C22semidirect
191. #485×C73C22semidirect
192. #480×C73C22semidirect
193. #478×C73C22semidirect
194. #469×C73C22semidirect
195. #468×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #447×C73C22semidirect
199. C4×D8×C73C22semidirect
200. #436×C73C22semidirect
201. #418×C73C22semidirect
202. #417×C73C22semidirect
934. #3322D73semidirect
960. C73#61201semidirect
975. #553C2×D73semidirect
1018. #488C2×D73semidirect
1022. #485C2×D73semidirect
1034. #480C2×D73semidirect
1042. #478C2×D73semidirect
1046. #469C2×D73semidirect
1050. #468C2×D73semidirect
1062. #463C2×D73semidirect
1078. #449C2×D73semidirect
1082. #447C2×D73semidirect
1090. C4×D8C2×D73semidirect
1092. #436C2×D73semidirect
1107. #418C2×D73semidirect
1116. #417C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238492
#226236912
#226221492
#226221442
#226221392
#226220762
#226220672
#226220282
#226220252
#226219532
#226219502
#226219112
#226219022
#226217862
#226217752
#226217662
#226217652
#226203282
#226199172
#226199042
#478×D732
#226195992
#226195912
#226193832
#226192332
#226192302
C4×#145566152
#226186762
#226184562
#226184552
C73×#33222
#6120173